54.818 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.287 * * * [progress]: [2/2] Setting up program.
0.293 * [progress]: [Phase 2 of 3] Improving.
0.293 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
0.294 * [simplify]: Simplifying:
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
0.294 * * [simplify]: iteration 0: 10 enodes
0.299 * * [simplify]: iteration 1: 28 enodes
0.308 * * [simplify]: iteration 2: 59 enodes
0.354 * * [simplify]: iteration 3: 154 enodes
0.403 * * [simplify]: iteration 4: 533 enodes
0.814 * * [simplify]: iteration 5: 2617 enodes
1.861 * * [simplify]: iteration complete: 5005 enodes
1.861 * * [simplify]: Extracting #0: cost 1 inf + 0
1.861 * * [simplify]: Extracting #1: cost 314 inf + 0
1.865 * * [simplify]: Extracting #2: cost 1358 inf + 546
1.876 * * [simplify]: Extracting #3: cost 1757 inf + 8637
1.903 * * [simplify]: Extracting #4: cost 1564 inf + 35802
1.946 * * [simplify]: Extracting #5: cost 1126 inf + 201260
2.034 * * [simplify]: Extracting #6: cost 293 inf + 632286
2.194 * * [simplify]: Extracting #7: cost 33 inf + 783291
2.319 * * [simplify]: Extracting #8: cost 1 inf + 798813
2.466 * * [simplify]: Extracting #9: cost 0 inf + 799348
2.599 * [simplify]: Simplified to:
  (/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))
2.607 * * [progress]: iteration 1 / 4
2.607 * * * [progress]: picking best candidate
2.618 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
2.618 * * * [progress]: localizing error
2.655 * * * [progress]: generating rewritten candidates
2.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.186 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
3.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
3.491 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.076 * * * [progress]: generating series expansions
4.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.076 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) into (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)
4.076 * [approximate]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in (i n) around 0
4.076 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n
4.076 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n
4.076 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
4.076 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
4.076 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
4.076 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
4.076 * [taylor]: Taking taylor expansion of n in n
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
4.076 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
4.076 * [taylor]: Taking taylor expansion of (/ i n) in n
4.076 * [taylor]: Taking taylor expansion of i in n
4.076 * [backup-simplify]: Simplify i into i
4.076 * [taylor]: Taking taylor expansion of n in n
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (/ i 1) into i
4.076 * [taylor]: Taking taylor expansion of 1 in n
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [backup-simplify]: Simplify (+ i 0) into i
4.076 * [backup-simplify]: Simplify (log i) into (log i)
4.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.077 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
4.078 * [backup-simplify]: Simplify (+ 0 1) into 1
4.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
4.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.079 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
4.079 * [backup-simplify]: Simplify (exp 0) into 1
4.079 * [taylor]: Taking taylor expansion of 1 in n
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of n in n
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of i in n
4.079 * [backup-simplify]: Simplify i into i
4.079 * [backup-simplify]: Simplify (- 1) into -1
4.080 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.080 * [backup-simplify]: Simplify (* 0 0) into 0
4.080 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
4.080 * [backup-simplify]: Simplify (- 0) into 0
4.080 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
4.081 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
4.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
4.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.084 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i)
4.084 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
4.084 * [backup-simplify]: Simplify (- 0) into 0
4.085 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
4.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n))
4.085 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
4.085 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
4.086 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
4.086 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
4.086 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.086 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.086 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.086 * [taylor]: Taking taylor expansion of n in i
4.086 * [backup-simplify]: Simplify n into n
4.086 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.086 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.086 * [taylor]: Taking taylor expansion of (/ i n) in i
4.086 * [taylor]: Taking taylor expansion of i in i
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [taylor]: Taking taylor expansion of n in i
4.086 * [backup-simplify]: Simplify n into n
4.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.086 * [taylor]: Taking taylor expansion of 1 in i
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [backup-simplify]: Simplify (+ 0 1) into 1
4.086 * [backup-simplify]: Simplify (log 1) into 0
4.086 * [backup-simplify]: Simplify (* n 0) into 0
4.086 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.087 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.087 * [backup-simplify]: Simplify (exp 0) into 1
4.087 * [taylor]: Taking taylor expansion of 1 in i
4.087 * [backup-simplify]: Simplify 1 into 1
4.087 * [taylor]: Taking taylor expansion of n in i
4.087 * [backup-simplify]: Simplify n into n
4.087 * [taylor]: Taking taylor expansion of i in i
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (- 1) into -1
4.088 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.088 * [backup-simplify]: Simplify (* 0 n) into 0
4.088 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.089 * [backup-simplify]: Simplify (- 0) into 0
4.089 * [backup-simplify]: Simplify (+ 1 0) into 1
4.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
4.089 * [backup-simplify]: Simplify (/ n 1) into n
4.089 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
4.089 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
4.089 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
4.089 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.089 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.089 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.089 * [taylor]: Taking taylor expansion of n in i
4.089 * [backup-simplify]: Simplify n into n
4.089 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.089 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.089 * [taylor]: Taking taylor expansion of (/ i n) in i
4.089 * [taylor]: Taking taylor expansion of i in i
4.089 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 1 into 1
4.090 * [taylor]: Taking taylor expansion of n in i
4.090 * [backup-simplify]: Simplify n into n
4.090 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.090 * [taylor]: Taking taylor expansion of 1 in i
4.090 * [backup-simplify]: Simplify 1 into 1
4.090 * [backup-simplify]: Simplify (+ 0 1) into 1
4.090 * [backup-simplify]: Simplify (log 1) into 0
4.090 * [backup-simplify]: Simplify (* n 0) into 0
4.090 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.091 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.091 * [backup-simplify]: Simplify (exp 0) into 1
4.091 * [taylor]: Taking taylor expansion of 1 in i
4.091 * [backup-simplify]: Simplify 1 into 1
4.091 * [taylor]: Taking taylor expansion of n in i
4.091 * [backup-simplify]: Simplify n into n
4.091 * [taylor]: Taking taylor expansion of i in i
4.091 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify 1 into 1
4.091 * [backup-simplify]: Simplify (- 1) into -1
4.092 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.092 * [backup-simplify]: Simplify (* 0 n) into 0
4.092 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.092 * [backup-simplify]: Simplify (- 0) into 0
4.093 * [backup-simplify]: Simplify (+ 1 0) into 1
4.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
4.093 * [backup-simplify]: Simplify (/ n 1) into n
4.093 * [taylor]: Taking taylor expansion of n in n
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
4.094 * [backup-simplify]: Simplify (+ 0 0) into 0
4.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
4.095 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
4.096 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
4.096 * [backup-simplify]: Simplify (- 0) into 0
4.096 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
4.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
4.097 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
4.097 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
4.097 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
4.097 * [taylor]: Taking taylor expansion of 1/2 in n
4.097 * [backup-simplify]: Simplify 1/2 into 1/2
4.097 * [taylor]: Taking taylor expansion of n in n
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 1 into 1
4.097 * [taylor]: Taking taylor expansion of 1/2 in n
4.097 * [backup-simplify]: Simplify 1/2 into 1/2
4.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.098 * [backup-simplify]: Simplify (- 0) into 0
4.098 * [backup-simplify]: Simplify (+ 0 0) into 0
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.099 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
4.103 * [backup-simplify]: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2)))
4.105 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
4.105 * [backup-simplify]: Simplify (- 0) into 0
4.106 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
4.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
4.108 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
4.108 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n
4.108 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n
4.108 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
4.108 * [taylor]: Taking taylor expansion of 1/6 in n
4.108 * [backup-simplify]: Simplify 1/6 into 1/6
4.108 * [taylor]: Taking taylor expansion of n in n
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n
4.108 * [taylor]: Taking taylor expansion of 1/3 in n
4.108 * [backup-simplify]: Simplify 1/3 into 1/3
4.108 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.108 * [taylor]: Taking taylor expansion of n in n
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.109 * [backup-simplify]: Simplify (/ 1 1) into 1
4.109 * [taylor]: Taking taylor expansion of 1/2 in n
4.109 * [backup-simplify]: Simplify 1/2 into 1/2
4.110 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ 0 0) into 0
4.114 * [backup-simplify]: Simplify (- 0) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.116 * [backup-simplify]: Simplify (- 0) into 0
4.117 * [backup-simplify]: Simplify (+ 0 0) into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) into (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)
4.118 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in (i n) around 0
4.118 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n
4.118 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n
4.118 * [taylor]: Taking taylor expansion of i in n
4.118 * [backup-simplify]: Simplify i into i
4.118 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
4.118 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
4.118 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
4.118 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
4.118 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.118 * [taylor]: Taking taylor expansion of n in n
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.118 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.118 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.118 * [taylor]: Taking taylor expansion of (/ n i) in n
4.118 * [taylor]: Taking taylor expansion of n in n
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.118 * [taylor]: Taking taylor expansion of i in n
4.119 * [backup-simplify]: Simplify i into i
4.119 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.119 * [taylor]: Taking taylor expansion of 1 in n
4.119 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (+ 0 1) into 1
4.119 * [backup-simplify]: Simplify (log 1) into 0
4.120 * [backup-simplify]: Simplify (* 1 0) into 0
4.120 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.122 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
4.122 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
4.122 * [taylor]: Taking taylor expansion of 1 in n
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [taylor]: Taking taylor expansion of n in n
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify (- 1) into -1
4.123 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
4.123 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
4.123 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
4.123 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
4.123 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
4.123 * [taylor]: Taking taylor expansion of i in i
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
4.123 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.123 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.123 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.123 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.123 * [taylor]: Taking taylor expansion of n in i
4.123 * [backup-simplify]: Simplify n into n
4.123 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.123 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.123 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.123 * [taylor]: Taking taylor expansion of (/ n i) in i
4.123 * [taylor]: Taking taylor expansion of n in i
4.123 * [backup-simplify]: Simplify n into n
4.123 * [taylor]: Taking taylor expansion of i in i
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (/ n 1) into n
4.124 * [taylor]: Taking taylor expansion of 1 in i
4.124 * [backup-simplify]: Simplify 1 into 1
4.124 * [backup-simplify]: Simplify (+ n 0) into n
4.124 * [backup-simplify]: Simplify (log n) into (log n)
4.124 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.124 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.125 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.125 * [taylor]: Taking taylor expansion of 1 in i
4.125 * [backup-simplify]: Simplify 1 into 1
4.125 * [taylor]: Taking taylor expansion of n in i
4.125 * [backup-simplify]: Simplify n into n
4.125 * [backup-simplify]: Simplify (- 1) into -1
4.125 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.126 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.127 * [backup-simplify]: Simplify (+ 0 1) into 1
4.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
4.128 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.128 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
4.129 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.129 * [backup-simplify]: Simplify (- 0) into 0
4.129 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.130 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.130 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
4.130 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
4.130 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
4.130 * [taylor]: Taking taylor expansion of i in i
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
4.130 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.130 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.130 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.130 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.130 * [taylor]: Taking taylor expansion of n in i
4.130 * [backup-simplify]: Simplify n into n
4.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.130 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.130 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.130 * [taylor]: Taking taylor expansion of (/ n i) in i
4.131 * [taylor]: Taking taylor expansion of n in i
4.131 * [backup-simplify]: Simplify n into n
4.131 * [taylor]: Taking taylor expansion of i in i
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify (/ n 1) into n
4.131 * [taylor]: Taking taylor expansion of 1 in i
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify (+ n 0) into n
4.131 * [backup-simplify]: Simplify (log n) into (log n)
4.131 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.131 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.132 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.132 * [taylor]: Taking taylor expansion of 1 in i
4.132 * [backup-simplify]: Simplify 1 into 1
4.132 * [taylor]: Taking taylor expansion of n in i
4.132 * [backup-simplify]: Simplify n into n
4.132 * [backup-simplify]: Simplify (- 1) into -1
4.132 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.132 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.134 * [backup-simplify]: Simplify (+ 0 1) into 1
4.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
4.135 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.135 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
4.136 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.136 * [backup-simplify]: Simplify (- 0) into 0
4.136 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.137 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.137 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
4.137 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
4.137 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
4.137 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.137 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.137 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.137 * [taylor]: Taking taylor expansion of (log n) in n
4.137 * [taylor]: Taking taylor expansion of n in n
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 1 into 1
4.138 * [backup-simplify]: Simplify (log 1) into 0
4.138 * [taylor]: Taking taylor expansion of (log i) in n
4.138 * [taylor]: Taking taylor expansion of i in n
4.138 * [backup-simplify]: Simplify i into i
4.138 * [backup-simplify]: Simplify (log i) into (log i)
4.138 * [taylor]: Taking taylor expansion of n in n
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.138 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.138 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.139 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.139 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.139 * [taylor]: Taking taylor expansion of 1 in n
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [taylor]: Taking taylor expansion of n in n
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [backup-simplify]: Simplify (- 1) into -1
4.139 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.140 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.140 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.142 * [backup-simplify]: Simplify (+ 0 0) into 0
4.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
4.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.144 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.144 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3))))
4.145 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
4.145 * [backup-simplify]: Simplify (- 0) into 0
4.146 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
4.147 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.147 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
4.147 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
4.147 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.147 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.147 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.147 * [taylor]: Taking taylor expansion of (log n) in n
4.147 * [taylor]: Taking taylor expansion of n in n
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (log 1) into 0
4.147 * [taylor]: Taking taylor expansion of (log i) in n
4.147 * [taylor]: Taking taylor expansion of i in n
4.147 * [backup-simplify]: Simplify i into i
4.147 * [backup-simplify]: Simplify (log i) into (log i)
4.147 * [taylor]: Taking taylor expansion of n in n
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.148 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.148 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.148 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.148 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.148 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.148 * [taylor]: Taking taylor expansion of (pow n 3) in n
4.148 * [taylor]: Taking taylor expansion of n in n
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 1 into 1
4.148 * [backup-simplify]: Simplify (* 1 1) into 1
4.149 * [backup-simplify]: Simplify (* 1 1) into 1
4.149 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify (- 0) into 0
4.153 * [backup-simplify]: Simplify (+ 0 0) into 0
4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
4.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.157 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.157 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4)))
4.158 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
4.158 * [backup-simplify]: Simplify (- 0) into 0
4.159 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
4.160 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
4.160 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
4.160 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
4.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
4.160 * [taylor]: Taking taylor expansion of 1/2 in n
4.161 * [backup-simplify]: Simplify 1/2 into 1/2
4.161 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
4.161 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.161 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.161 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.161 * [taylor]: Taking taylor expansion of (log n) in n
4.161 * [taylor]: Taking taylor expansion of n in n
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.161 * [backup-simplify]: Simplify (log 1) into 0
4.161 * [taylor]: Taking taylor expansion of (log i) in n
4.161 * [taylor]: Taking taylor expansion of i in n
4.161 * [backup-simplify]: Simplify i into i
4.161 * [backup-simplify]: Simplify (log i) into (log i)
4.161 * [taylor]: Taking taylor expansion of n in n
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.161 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.161 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.161 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.161 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.162 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.162 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.162 * [taylor]: Taking taylor expansion of n in n
4.162 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify 1 into 1
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.163 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
4.163 * [taylor]: Taking taylor expansion of 1/2 in n
4.163 * [backup-simplify]: Simplify 1/2 into 1/2
4.163 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
4.163 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.163 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.163 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.163 * [taylor]: Taking taylor expansion of (log n) in n
4.163 * [taylor]: Taking taylor expansion of n in n
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.163 * [backup-simplify]: Simplify (log 1) into 0
4.163 * [taylor]: Taking taylor expansion of (log i) in n
4.163 * [taylor]: Taking taylor expansion of i in n
4.163 * [backup-simplify]: Simplify i into i
4.163 * [backup-simplify]: Simplify (log i) into (log i)
4.163 * [taylor]: Taking taylor expansion of n in n
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.163 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.163 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.164 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.164 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.164 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.164 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.164 * [taylor]: Taking taylor expansion of n in n
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (* 1 1) into 1
4.164 * [backup-simplify]: Simplify (* 1 1) into 1
4.165 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
4.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
4.193 * [backup-simplify]: Simplify (- 0) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify (- 0) into 0
4.196 * [backup-simplify]: Simplify (+ 0 0) into 0
4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.199 * [backup-simplify]: Simplify (+ 0 0) into 0
4.202 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
4.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.203 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.203 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (- (* 1/4 (/ 1 (pow n 5))))
4.204 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
4.204 * [backup-simplify]: Simplify (- 0) into 0
4.205 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
4.207 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
4.208 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
4.208 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
4.208 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
4.208 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
4.208 * [taylor]: Taking taylor expansion of 1/6 in n
4.208 * [backup-simplify]: Simplify 1/6 into 1/6
4.208 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
4.208 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.208 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.208 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.208 * [taylor]: Taking taylor expansion of (log n) in n
4.208 * [taylor]: Taking taylor expansion of n in n
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.209 * [backup-simplify]: Simplify (log 1) into 0
4.209 * [taylor]: Taking taylor expansion of (log i) in n
4.209 * [taylor]: Taking taylor expansion of i in n
4.209 * [backup-simplify]: Simplify i into i
4.209 * [backup-simplify]: Simplify (log i) into (log i)
4.209 * [taylor]: Taking taylor expansion of n in n
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.209 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.209 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.209 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.209 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.209 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.209 * [taylor]: Taking taylor expansion of (pow n 7) in n
4.209 * [taylor]: Taking taylor expansion of n in n
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (* 1 1) into 1
4.210 * [backup-simplify]: Simplify (* 1 1) into 1
4.210 * [backup-simplify]: Simplify (* 1 1) into 1
4.210 * [backup-simplify]: Simplify (* 1 1) into 1
4.211 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.211 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
4.211 * [taylor]: Taking taylor expansion of 1/3 in n
4.211 * [backup-simplify]: Simplify 1/3 into 1/3
4.211 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
4.211 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.211 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.211 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.211 * [taylor]: Taking taylor expansion of (log n) in n
4.211 * [taylor]: Taking taylor expansion of n in n
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (log 1) into 0
4.211 * [taylor]: Taking taylor expansion of (log i) in n
4.211 * [taylor]: Taking taylor expansion of i in n
4.211 * [backup-simplify]: Simplify i into i
4.211 * [backup-simplify]: Simplify (log i) into (log i)
4.211 * [taylor]: Taking taylor expansion of n in n
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.211 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.212 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.212 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.212 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.212 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.212 * [taylor]: Taking taylor expansion of n in n
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [backup-simplify]: Simplify (* 1 1) into 1
4.212 * [backup-simplify]: Simplify (* 1 1) into 1
4.212 * [backup-simplify]: Simplify (* 1 1) into 1
4.213 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
4.213 * [taylor]: Taking taylor expansion of 1/2 in n
4.213 * [backup-simplify]: Simplify 1/2 into 1/2
4.213 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
4.213 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.213 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.213 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.213 * [taylor]: Taking taylor expansion of (log n) in n
4.213 * [taylor]: Taking taylor expansion of n in n
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 1 into 1
4.213 * [backup-simplify]: Simplify (log 1) into 0
4.213 * [taylor]: Taking taylor expansion of (log i) in n
4.213 * [taylor]: Taking taylor expansion of i in n
4.213 * [backup-simplify]: Simplify i into i
4.213 * [backup-simplify]: Simplify (log i) into (log i)
4.213 * [taylor]: Taking taylor expansion of n in n
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 1 into 1
4.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.213 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.214 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.214 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.214 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.214 * [taylor]: Taking taylor expansion of (pow n 6) in n
4.214 * [taylor]: Taking taylor expansion of n in n
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify (* 1 1) into 1
4.214 * [backup-simplify]: Simplify (* 1 1) into 1
4.215 * [backup-simplify]: Simplify (* 1 1) into 1
4.215 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.249 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
4.270 * [backup-simplify]: Simplify (+ 0 0) into 0
4.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
4.294 * [backup-simplify]: Simplify (- 0) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify (* (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
4.294 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)
4.294 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in (i n) around 0
4.294 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n
4.294 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n
4.294 * [taylor]: Taking taylor expansion of i in n
4.294 * [backup-simplify]: Simplify i into i
4.294 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
4.294 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
4.294 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
4.294 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
4.294 * [taylor]: Taking taylor expansion of (/ -1 n) in n
4.294 * [taylor]: Taking taylor expansion of -1 in n
4.294 * [backup-simplify]: Simplify -1 into -1
4.295 * [taylor]: Taking taylor expansion of n in n
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [backup-simplify]: Simplify (/ -1 1) into -1
4.295 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.295 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.295 * [taylor]: Taking taylor expansion of (/ n i) in n
4.295 * [taylor]: Taking taylor expansion of n in n
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [taylor]: Taking taylor expansion of i in n
4.295 * [backup-simplify]: Simplify i into i
4.295 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.295 * [taylor]: Taking taylor expansion of 1 in n
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [backup-simplify]: Simplify (+ 0 1) into 1
4.296 * [backup-simplify]: Simplify (log 1) into 0
4.296 * [backup-simplify]: Simplify (* -1 0) into 0
4.296 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.297 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
4.297 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
4.297 * [taylor]: Taking taylor expansion of 1 in n
4.297 * [backup-simplify]: Simplify 1 into 1
4.297 * [taylor]: Taking taylor expansion of n in n
4.297 * [backup-simplify]: Simplify 0 into 0
4.297 * [backup-simplify]: Simplify 1 into 1
4.298 * [backup-simplify]: Simplify (- 1) into -1
4.298 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1)
4.298 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1))
4.298 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1))
4.298 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
4.298 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
4.298 * [taylor]: Taking taylor expansion of i in i
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.298 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
4.298 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.298 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.298 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.298 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.298 * [taylor]: Taking taylor expansion of -1 in i
4.298 * [backup-simplify]: Simplify -1 into -1
4.298 * [taylor]: Taking taylor expansion of n in i
4.298 * [backup-simplify]: Simplify n into n
4.298 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.298 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.298 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.298 * [taylor]: Taking taylor expansion of (/ n i) in i
4.298 * [taylor]: Taking taylor expansion of n in i
4.298 * [backup-simplify]: Simplify n into n
4.298 * [taylor]: Taking taylor expansion of i in i
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.298 * [backup-simplify]: Simplify (/ n 1) into n
4.298 * [taylor]: Taking taylor expansion of 1 in i
4.298 * [backup-simplify]: Simplify 1 into 1
4.298 * [backup-simplify]: Simplify (+ n 0) into n
4.298 * [backup-simplify]: Simplify (log n) into (log n)
4.299 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.299 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.299 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.299 * [taylor]: Taking taylor expansion of 1 in i
4.299 * [backup-simplify]: Simplify 1 into 1
4.299 * [taylor]: Taking taylor expansion of n in i
4.299 * [backup-simplify]: Simplify n into n
4.299 * [backup-simplify]: Simplify (- 1) into -1
4.299 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.299 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.300 * [backup-simplify]: Simplify (+ 0 1) into 1
4.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.301 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
4.301 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.302 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
4.302 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.302 * [backup-simplify]: Simplify (- 0) into 0
4.302 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.303 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.303 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
4.303 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
4.303 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
4.303 * [taylor]: Taking taylor expansion of i in i
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 1 into 1
4.303 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
4.303 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.303 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.303 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.303 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.303 * [taylor]: Taking taylor expansion of -1 in i
4.303 * [backup-simplify]: Simplify -1 into -1
4.303 * [taylor]: Taking taylor expansion of n in i
4.303 * [backup-simplify]: Simplify n into n
4.303 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.303 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.303 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.303 * [taylor]: Taking taylor expansion of (/ n i) in i
4.303 * [taylor]: Taking taylor expansion of n in i
4.303 * [backup-simplify]: Simplify n into n
4.303 * [taylor]: Taking taylor expansion of i in i
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 1 into 1
4.303 * [backup-simplify]: Simplify (/ n 1) into n
4.303 * [taylor]: Taking taylor expansion of 1 in i
4.303 * [backup-simplify]: Simplify 1 into 1
4.303 * [backup-simplify]: Simplify (+ n 0) into n
4.303 * [backup-simplify]: Simplify (log n) into (log n)
4.304 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.304 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.304 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.304 * [taylor]: Taking taylor expansion of 1 in i
4.304 * [backup-simplify]: Simplify 1 into 1
4.304 * [taylor]: Taking taylor expansion of n in i
4.304 * [backup-simplify]: Simplify n into n
4.304 * [backup-simplify]: Simplify (- 1) into -1
4.304 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.304 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
4.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.305 * [backup-simplify]: Simplify (+ 0 1) into 1
4.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.306 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
4.306 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.306 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
4.306 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.307 * [backup-simplify]: Simplify (- 0) into 0
4.307 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.307 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.307 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
4.307 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
4.307 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
4.307 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.307 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.307 * [taylor]: Taking taylor expansion of -1 in n
4.307 * [backup-simplify]: Simplify -1 into -1
4.307 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.307 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.307 * [taylor]: Taking taylor expansion of (log n) in n
4.307 * [taylor]: Taking taylor expansion of n in n
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [backup-simplify]: Simplify (log 1) into 0
4.308 * [taylor]: Taking taylor expansion of (log i) in n
4.308 * [taylor]: Taking taylor expansion of i in n
4.308 * [backup-simplify]: Simplify i into i
4.308 * [backup-simplify]: Simplify (log i) into (log i)
4.308 * [taylor]: Taking taylor expansion of n in n
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.308 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.308 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.308 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.308 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.308 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.309 * [taylor]: Taking taylor expansion of 1 in n
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [taylor]: Taking taylor expansion of n in n
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify 1 into 1
4.309 * [backup-simplify]: Simplify (- 1) into -1
4.309 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.309 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.309 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.310 * [backup-simplify]: Simplify (+ 0 0) into 0
4.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
4.312 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.312 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.312 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3)))
4.313 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
4.313 * [backup-simplify]: Simplify (- 0) into 0
4.313 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
4.314 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.314 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
4.314 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
4.314 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
4.314 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.314 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.314 * [taylor]: Taking taylor expansion of -1 in n
4.314 * [backup-simplify]: Simplify -1 into -1
4.314 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.314 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.314 * [taylor]: Taking taylor expansion of (log n) in n
4.314 * [taylor]: Taking taylor expansion of n in n
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [backup-simplify]: Simplify (log 1) into 0
4.315 * [taylor]: Taking taylor expansion of (log i) in n
4.315 * [taylor]: Taking taylor expansion of i in n
4.315 * [backup-simplify]: Simplify i into i
4.315 * [backup-simplify]: Simplify (log i) into (log i)
4.315 * [taylor]: Taking taylor expansion of n in n
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.316 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.316 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.316 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.316 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.316 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.316 * [taylor]: Taking taylor expansion of (pow n 3) in n
4.316 * [taylor]: Taking taylor expansion of n in n
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.317 * [backup-simplify]: Simplify (* 1 1) into 1
4.317 * [backup-simplify]: Simplify (* 1 1) into 1
4.317 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (- 0) into 0
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify (- 0) into 0
4.324 * [backup-simplify]: Simplify (+ 0 0) into 0
4.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
4.324 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.326 * [backup-simplify]: Simplify (+ 0 0) into 0
4.328 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
4.328 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.328 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.328 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4))))
4.329 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
4.329 * [backup-simplify]: Simplify (- 0) into 0
4.330 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
4.331 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
4.332 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
4.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
4.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
4.332 * [taylor]: Taking taylor expansion of 1/2 in n
4.332 * [backup-simplify]: Simplify 1/2 into 1/2
4.332 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
4.332 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.332 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.332 * [taylor]: Taking taylor expansion of -1 in n
4.332 * [backup-simplify]: Simplify -1 into -1
4.332 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.332 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.332 * [taylor]: Taking taylor expansion of (log n) in n
4.332 * [taylor]: Taking taylor expansion of n in n
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 1 into 1
4.332 * [backup-simplify]: Simplify (log 1) into 0
4.333 * [taylor]: Taking taylor expansion of (log i) in n
4.333 * [taylor]: Taking taylor expansion of i in n
4.333 * [backup-simplify]: Simplify i into i
4.333 * [backup-simplify]: Simplify (log i) into (log i)
4.333 * [taylor]: Taking taylor expansion of n in n
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 1 into 1
4.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.333 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.333 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.333 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.333 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.333 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.333 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.333 * [taylor]: Taking taylor expansion of n in n
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.334 * [backup-simplify]: Simplify (* 1 1) into 1
4.334 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
4.334 * [taylor]: Taking taylor expansion of 1/2 in n
4.334 * [backup-simplify]: Simplify 1/2 into 1/2
4.334 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
4.334 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.335 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.335 * [taylor]: Taking taylor expansion of -1 in n
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.335 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.335 * [taylor]: Taking taylor expansion of (log n) in n
4.335 * [taylor]: Taking taylor expansion of n in n
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (log 1) into 0
4.335 * [taylor]: Taking taylor expansion of (log i) in n
4.335 * [taylor]: Taking taylor expansion of i in n
4.335 * [backup-simplify]: Simplify i into i
4.335 * [backup-simplify]: Simplify (log i) into (log i)
4.335 * [taylor]: Taking taylor expansion of n in n
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.335 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.335 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.335 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.336 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.336 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.336 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.336 * [taylor]: Taking taylor expansion of n in n
4.336 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify 1 into 1
4.336 * [backup-simplify]: Simplify (* 1 1) into 1
4.336 * [backup-simplify]: Simplify (* 1 1) into 1
4.336 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
4.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
4.356 * [backup-simplify]: Simplify (+ 0 0) into 0
4.356 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.359 * [backup-simplify]: Simplify (- 0) into 0
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (- 0) into 0
4.359 * [backup-simplify]: Simplify (+ 0 0) into 0
4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.364 * [backup-simplify]: Simplify (+ 0 0) into 0
4.369 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
4.369 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.369 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.370 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (* 1/4 (/ 1 (pow n 5)))
4.372 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
4.372 * [backup-simplify]: Simplify (- 0) into 0
4.373 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
4.377 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
4.380 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
4.380 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
4.380 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
4.380 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
4.380 * [taylor]: Taking taylor expansion of 1/6 in n
4.380 * [backup-simplify]: Simplify 1/6 into 1/6
4.380 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
4.380 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.380 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.380 * [taylor]: Taking taylor expansion of -1 in n
4.380 * [backup-simplify]: Simplify -1 into -1
4.380 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.380 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.380 * [taylor]: Taking taylor expansion of (log n) in n
4.380 * [taylor]: Taking taylor expansion of n in n
4.380 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (log 1) into 0
4.381 * [taylor]: Taking taylor expansion of (log i) in n
4.381 * [taylor]: Taking taylor expansion of i in n
4.381 * [backup-simplify]: Simplify i into i
4.381 * [backup-simplify]: Simplify (log i) into (log i)
4.381 * [taylor]: Taking taylor expansion of n in n
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify 1 into 1
4.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.381 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.382 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.382 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.382 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.382 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.382 * [taylor]: Taking taylor expansion of (pow n 7) in n
4.382 * [taylor]: Taking taylor expansion of n in n
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 1 into 1
4.382 * [backup-simplify]: Simplify (* 1 1) into 1
4.383 * [backup-simplify]: Simplify (* 1 1) into 1
4.383 * [backup-simplify]: Simplify (* 1 1) into 1
4.384 * [backup-simplify]: Simplify (* 1 1) into 1
4.384 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.384 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
4.384 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
4.384 * [taylor]: Taking taylor expansion of 1/3 in n
4.384 * [backup-simplify]: Simplify 1/3 into 1/3
4.384 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
4.384 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.384 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.384 * [taylor]: Taking taylor expansion of -1 in n
4.384 * [backup-simplify]: Simplify -1 into -1
4.384 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.384 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.384 * [taylor]: Taking taylor expansion of (log n) in n
4.384 * [taylor]: Taking taylor expansion of n in n
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (log 1) into 0
4.385 * [taylor]: Taking taylor expansion of (log i) in n
4.385 * [taylor]: Taking taylor expansion of i in n
4.385 * [backup-simplify]: Simplify i into i
4.385 * [backup-simplify]: Simplify (log i) into (log i)
4.385 * [taylor]: Taking taylor expansion of n in n
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 1 into 1
4.385 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.385 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.385 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.385 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.385 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.386 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.386 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.386 * [taylor]: Taking taylor expansion of n in n
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 1 into 1
4.386 * [backup-simplify]: Simplify (* 1 1) into 1
4.386 * [backup-simplify]: Simplify (* 1 1) into 1
4.387 * [backup-simplify]: Simplify (* 1 1) into 1
4.387 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
4.387 * [taylor]: Taking taylor expansion of 1/2 in n
4.387 * [backup-simplify]: Simplify 1/2 into 1/2
4.387 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
4.387 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.387 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.387 * [taylor]: Taking taylor expansion of -1 in n
4.387 * [backup-simplify]: Simplify -1 into -1
4.387 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.387 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.387 * [taylor]: Taking taylor expansion of (log n) in n
4.387 * [taylor]: Taking taylor expansion of n in n
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 1 into 1
4.387 * [backup-simplify]: Simplify (log 1) into 0
4.387 * [taylor]: Taking taylor expansion of (log i) in n
4.387 * [taylor]: Taking taylor expansion of i in n
4.387 * [backup-simplify]: Simplify i into i
4.387 * [backup-simplify]: Simplify (log i) into (log i)
4.387 * [taylor]: Taking taylor expansion of n in n
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 1 into 1
4.388 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.388 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.388 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.388 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.388 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.388 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.388 * [taylor]: Taking taylor expansion of (pow n 6) in n
4.388 * [taylor]: Taking taylor expansion of n in n
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify 1 into 1
4.388 * [backup-simplify]: Simplify (* 1 1) into 1
4.389 * [backup-simplify]: Simplify (* 1 1) into 1
4.389 * [backup-simplify]: Simplify (* 1 1) into 1
4.389 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.418 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
4.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
4.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.469 * [backup-simplify]: Simplify (+ 0 0) into 0
4.469 * [backup-simplify]: Simplify (- 0) into 0
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify (* (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
4.470 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
4.470 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n)
4.470 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0
4.470 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
4.470 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
4.470 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
4.470 * [taylor]: Taking taylor expansion of n in n
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
4.470 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
4.470 * [taylor]: Taking taylor expansion of (/ i n) in n
4.470 * [taylor]: Taking taylor expansion of i in n
4.470 * [backup-simplify]: Simplify i into i
4.470 * [taylor]: Taking taylor expansion of n in n
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify (/ i 1) into i
4.470 * [taylor]: Taking taylor expansion of 1 in n
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify (+ i 0) into i
4.470 * [backup-simplify]: Simplify (log i) into (log i)
4.471 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.471 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
4.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
4.473 * [backup-simplify]: Simplify (+ 0 1) into 1
4.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
4.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.474 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
4.474 * [backup-simplify]: Simplify (exp 0) into 1
4.474 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.474 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.474 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.474 * [taylor]: Taking taylor expansion of n in i
4.474 * [backup-simplify]: Simplify n into n
4.474 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.474 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.474 * [taylor]: Taking taylor expansion of (/ i n) in i
4.475 * [taylor]: Taking taylor expansion of i in i
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [taylor]: Taking taylor expansion of n in i
4.475 * [backup-simplify]: Simplify n into n
4.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.475 * [taylor]: Taking taylor expansion of 1 in i
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (+ 0 1) into 1
4.476 * [backup-simplify]: Simplify (log 1) into 0
4.476 * [backup-simplify]: Simplify (* n 0) into 0
4.476 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.477 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.477 * [backup-simplify]: Simplify (exp 0) into 1
4.477 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.477 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.477 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.477 * [taylor]: Taking taylor expansion of n in i
4.477 * [backup-simplify]: Simplify n into n
4.477 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.477 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.477 * [taylor]: Taking taylor expansion of (/ i n) in i
4.477 * [taylor]: Taking taylor expansion of i in i
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 1 into 1
4.477 * [taylor]: Taking taylor expansion of n in i
4.477 * [backup-simplify]: Simplify n into n
4.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.477 * [taylor]: Taking taylor expansion of 1 in i
4.477 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (+ 0 1) into 1
4.478 * [backup-simplify]: Simplify (log 1) into 0
4.478 * [backup-simplify]: Simplify (* n 0) into 0
4.478 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.479 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.479 * [backup-simplify]: Simplify (exp 0) into 1
4.479 * [taylor]: Taking taylor expansion of 1 in n
4.479 * [backup-simplify]: Simplify 1 into 1
4.479 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.480 * [taylor]: Taking taylor expansion of 1 in n
4.480 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify 1 into 1
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
4.480 * [backup-simplify]: Simplify (+ 0 0) into 0
4.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
4.482 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
4.483 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
4.483 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
4.483 * [taylor]: Taking taylor expansion of 1/2 in n
4.483 * [backup-simplify]: Simplify 1/2 into 1/2
4.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
4.483 * [taylor]: Taking taylor expansion of 1/2 in n
4.483 * [backup-simplify]: Simplify 1/2 into 1/2
4.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.483 * [taylor]: Taking taylor expansion of n in n
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.483 * [backup-simplify]: Simplify (/ 1 1) into 1
4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.485 * [backup-simplify]: Simplify (- 0) into 0
4.485 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.485 * [backup-simplify]: Simplify 1/2 into 1/2
4.485 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1))
4.485 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n))
4.485 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0
4.485 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
4.485 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
4.485 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
4.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.485 * [taylor]: Taking taylor expansion of n in n
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (/ 1 1) into 1
4.486 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.486 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.486 * [taylor]: Taking taylor expansion of (/ n i) in n
4.486 * [taylor]: Taking taylor expansion of n in n
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 1 into 1
4.486 * [taylor]: Taking taylor expansion of i in n
4.486 * [backup-simplify]: Simplify i into i
4.486 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.486 * [taylor]: Taking taylor expansion of 1 in n
4.486 * [backup-simplify]: Simplify 1 into 1
4.486 * [backup-simplify]: Simplify (+ 0 1) into 1
4.487 * [backup-simplify]: Simplify (log 1) into 0
4.487 * [backup-simplify]: Simplify (* 1 0) into 0
4.487 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.488 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
4.488 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
4.488 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.488 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.488 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.488 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.488 * [taylor]: Taking taylor expansion of n in i
4.488 * [backup-simplify]: Simplify n into n
4.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.488 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.488 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.488 * [taylor]: Taking taylor expansion of (/ n i) in i
4.488 * [taylor]: Taking taylor expansion of n in i
4.488 * [backup-simplify]: Simplify n into n
4.488 * [taylor]: Taking taylor expansion of i in i
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ n 1) into n
4.489 * [taylor]: Taking taylor expansion of 1 in i
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (+ n 0) into n
4.489 * [backup-simplify]: Simplify (log n) into (log n)
4.489 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.489 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.489 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.489 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.489 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.489 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.489 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.489 * [taylor]: Taking taylor expansion of n in i
4.489 * [backup-simplify]: Simplify n into n
4.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.489 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.489 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.489 * [taylor]: Taking taylor expansion of (/ n i) in i
4.489 * [taylor]: Taking taylor expansion of n in i
4.489 * [backup-simplify]: Simplify n into n
4.489 * [taylor]: Taking taylor expansion of i in i
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ n 1) into n
4.489 * [taylor]: Taking taylor expansion of 1 in i
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (+ n 0) into n
4.489 * [backup-simplify]: Simplify (log n) into (log n)
4.490 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.490 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.490 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.490 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.490 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.490 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.490 * [taylor]: Taking taylor expansion of (log n) in n
4.490 * [taylor]: Taking taylor expansion of n in n
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.490 * [backup-simplify]: Simplify (log 1) into 0
4.490 * [taylor]: Taking taylor expansion of (log i) in n
4.490 * [taylor]: Taking taylor expansion of i in n
4.490 * [backup-simplify]: Simplify i into i
4.490 * [backup-simplify]: Simplify (log i) into (log i)
4.490 * [taylor]: Taking taylor expansion of n in n
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.491 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.491 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.491 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.491 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.491 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.492 * [backup-simplify]: Simplify (+ 0 1) into 1
4.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
4.493 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.493 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
4.493 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.493 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
4.493 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.493 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.493 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.493 * [taylor]: Taking taylor expansion of (log n) in n
4.493 * [taylor]: Taking taylor expansion of n in n
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (log 1) into 0
4.494 * [taylor]: Taking taylor expansion of (log i) in n
4.494 * [taylor]: Taking taylor expansion of i in n
4.494 * [backup-simplify]: Simplify i into i
4.494 * [backup-simplify]: Simplify (log i) into (log i)
4.494 * [taylor]: Taking taylor expansion of n in n
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.494 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.494 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.494 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.494 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.494 * [taylor]: Taking taylor expansion of (pow n 2) in n
4.494 * [taylor]: Taking taylor expansion of n in n
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (* 1 1) into 1
4.495 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.499 * [backup-simplify]: Simplify (+ 0 0) into 0
4.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
4.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.500 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.500 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3))))
4.501 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
4.501 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) in n
4.501 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n
4.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
4.501 * [taylor]: Taking taylor expansion of 1/2 in n
4.501 * [backup-simplify]: Simplify 1/2 into 1/2
4.501 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
4.501 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.501 * [taylor]: Taking taylor expansion of n in n
4.501 * [backup-simplify]: Simplify 0 into 0
4.501 * [backup-simplify]: Simplify 1 into 1
4.501 * [backup-simplify]: Simplify (* 1 1) into 1
4.502 * [backup-simplify]: Simplify (* 1 1) into 1
4.502 * [backup-simplify]: Simplify (/ 1 1) into 1
4.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
4.502 * [taylor]: Taking taylor expansion of 1/2 in n
4.502 * [backup-simplify]: Simplify 1/2 into 1/2
4.502 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
4.502 * [taylor]: Taking taylor expansion of (pow n 3) in n
4.502 * [taylor]: Taking taylor expansion of n in n
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 1 into 1
4.502 * [backup-simplify]: Simplify (* 1 1) into 1
4.502 * [backup-simplify]: Simplify (* 1 1) into 1
4.503 * [backup-simplify]: Simplify (/ 1 1) into 1
4.503 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.503 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.503 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.503 * [taylor]: Taking taylor expansion of (log n) in n
4.503 * [taylor]: Taking taylor expansion of n in n
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 1 into 1
4.503 * [backup-simplify]: Simplify (log 1) into 0
4.503 * [taylor]: Taking taylor expansion of (log i) in n
4.503 * [taylor]: Taking taylor expansion of i in n
4.503 * [backup-simplify]: Simplify i into i
4.503 * [backup-simplify]: Simplify (log i) into (log i)
4.503 * [taylor]: Taking taylor expansion of n in n
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 1 into 1
4.504 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.504 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.504 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.504 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.504 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.506 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.506 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.510 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.510 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.517 * [backup-simplify]: Simplify (- 0) into 0
4.518 * [backup-simplify]: Simplify (+ 0 0) into 0
4.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.527 * [backup-simplify]: Simplify (- 0) into 0
4.527 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.537 * [backup-simplify]: Simplify (- 0) into 0
4.537 * [backup-simplify]: Simplify (+ 0 0) into 0
4.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
4.539 * [backup-simplify]: Simplify 0 into 0
4.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 0 into 0
4.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (+ 0 0) into 0
4.548 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
4.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.548 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.549 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4)))
4.550 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
4.550 * [taylor]: Taking taylor expansion of (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) in n
4.550 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.550 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.550 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.550 * [taylor]: Taking taylor expansion of (log n) in n
4.550 * [taylor]: Taking taylor expansion of n in n
4.550 * [backup-simplify]: Simplify 0 into 0
4.550 * [backup-simplify]: Simplify 1 into 1
4.551 * [backup-simplify]: Simplify (log 1) into 0
4.551 * [taylor]: Taking taylor expansion of (log i) in n
4.551 * [taylor]: Taking taylor expansion of i in n
4.551 * [backup-simplify]: Simplify i into i
4.551 * [backup-simplify]: Simplify (log i) into (log i)
4.551 * [taylor]: Taking taylor expansion of n in n
4.551 * [backup-simplify]: Simplify 0 into 0
4.551 * [backup-simplify]: Simplify 1 into 1
4.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.551 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.551 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.551 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.552 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.552 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))) in n
4.552 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n
4.552 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
4.552 * [taylor]: Taking taylor expansion of 1/6 in n
4.552 * [backup-simplify]: Simplify 1/6 into 1/6
4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
4.552 * [taylor]: Taking taylor expansion of (pow n 6) in n
4.552 * [taylor]: Taking taylor expansion of n in n
4.552 * [backup-simplify]: Simplify 0 into 0
4.552 * [backup-simplify]: Simplify 1 into 1
4.552 * [backup-simplify]: Simplify (* 1 1) into 1
4.553 * [backup-simplify]: Simplify (* 1 1) into 1
4.553 * [backup-simplify]: Simplify (* 1 1) into 1
4.553 * [backup-simplify]: Simplify (/ 1 1) into 1
4.553 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
4.553 * [taylor]: Taking taylor expansion of 1/3 in n
4.553 * [backup-simplify]: Simplify 1/3 into 1/3
4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
4.554 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.554 * [taylor]: Taking taylor expansion of n in n
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify 1 into 1
4.554 * [backup-simplify]: Simplify (* 1 1) into 1
4.554 * [backup-simplify]: Simplify (* 1 1) into 1
4.555 * [backup-simplify]: Simplify (/ 1 1) into 1
4.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
4.555 * [taylor]: Taking taylor expansion of 1/2 in n
4.555 * [backup-simplify]: Simplify 1/2 into 1/2
4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
4.555 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.555 * [taylor]: Taking taylor expansion of n in n
4.555 * [backup-simplify]: Simplify 0 into 0
4.555 * [backup-simplify]: Simplify 1 into 1
4.555 * [backup-simplify]: Simplify (* 1 1) into 1
4.556 * [backup-simplify]: Simplify (* 1 1) into 1
4.556 * [backup-simplify]: Simplify (* 1 1) into 1
4.557 * [backup-simplify]: Simplify (/ 1 1) into 1
4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.585 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.599 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.622 * [backup-simplify]: Simplify (- 0) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.624 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.625 * [backup-simplify]: Simplify (+ 0 0) into 0
4.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.627 * [backup-simplify]: Simplify (- 0) into 0
4.627 * [backup-simplify]: Simplify (+ 0 0) into 0
4.628 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.629 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
4.630 * [backup-simplify]: Simplify (+ 0 0) into 0
4.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.631 * [backup-simplify]: Simplify (- 0) into 0
4.631 * [backup-simplify]: Simplify (+ 0 0) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
4.634 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.635 * [backup-simplify]: Simplify (- 0) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.636 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
4.637 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
4.637 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
4.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.638 * [backup-simplify]: Simplify (- 0) into 0
4.639 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
4.639 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.640 * [backup-simplify]: Simplify (+ 0 0) into 0
4.640 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.641 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.641 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.641 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
4.642 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
4.642 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
4.644 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 -1/2) (* 0 1/6))))))) into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
4.645 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n))
4.645 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0
4.645 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
4.645 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
4.645 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
4.645 * [taylor]: Taking taylor expansion of (/ -1 n) in n
4.645 * [taylor]: Taking taylor expansion of -1 in n
4.645 * [backup-simplify]: Simplify -1 into -1
4.645 * [taylor]: Taking taylor expansion of n in n
4.645 * [backup-simplify]: Simplify 0 into 0
4.645 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (/ -1 1) into -1
4.646 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.646 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.646 * [taylor]: Taking taylor expansion of (/ n i) in n
4.646 * [taylor]: Taking taylor expansion of n in n
4.646 * [backup-simplify]: Simplify 0 into 0
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [taylor]: Taking taylor expansion of i in n
4.646 * [backup-simplify]: Simplify i into i
4.646 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.646 * [taylor]: Taking taylor expansion of 1 in n
4.646 * [backup-simplify]: Simplify 1 into 1
4.646 * [backup-simplify]: Simplify (+ 0 1) into 1
4.647 * [backup-simplify]: Simplify (log 1) into 0
4.648 * [backup-simplify]: Simplify (* -1 0) into 0
4.648 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.652 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
4.652 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
4.652 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.652 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.652 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.652 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.652 * [taylor]: Taking taylor expansion of -1 in i
4.652 * [backup-simplify]: Simplify -1 into -1
4.652 * [taylor]: Taking taylor expansion of n in i
4.652 * [backup-simplify]: Simplify n into n
4.652 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.652 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.652 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.652 * [taylor]: Taking taylor expansion of (/ n i) in i
4.652 * [taylor]: Taking taylor expansion of n in i
4.652 * [backup-simplify]: Simplify n into n
4.652 * [taylor]: Taking taylor expansion of i in i
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (/ n 1) into n
4.652 * [taylor]: Taking taylor expansion of 1 in i
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (+ n 0) into n
4.652 * [backup-simplify]: Simplify (log n) into (log n)
4.653 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.653 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.653 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.653 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.653 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.653 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.653 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.654 * [taylor]: Taking taylor expansion of -1 in i
4.654 * [backup-simplify]: Simplify -1 into -1
4.654 * [taylor]: Taking taylor expansion of n in i
4.654 * [backup-simplify]: Simplify n into n
4.654 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.654 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.654 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.654 * [taylor]: Taking taylor expansion of (/ n i) in i
4.654 * [taylor]: Taking taylor expansion of n in i
4.654 * [backup-simplify]: Simplify n into n
4.654 * [taylor]: Taking taylor expansion of i in i
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify (/ n 1) into n
4.654 * [taylor]: Taking taylor expansion of 1 in i
4.654 * [backup-simplify]: Simplify 1 into 1
4.654 * [backup-simplify]: Simplify (+ n 0) into n
4.654 * [backup-simplify]: Simplify (log n) into (log n)
4.654 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.654 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.655 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.655 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.655 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.655 * [taylor]: Taking taylor expansion of -1 in n
4.655 * [backup-simplify]: Simplify -1 into -1
4.655 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.655 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.655 * [taylor]: Taking taylor expansion of (log n) in n
4.655 * [taylor]: Taking taylor expansion of n in n
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (log 1) into 0
4.655 * [taylor]: Taking taylor expansion of (log i) in n
4.655 * [taylor]: Taking taylor expansion of i in n
4.655 * [backup-simplify]: Simplify i into i
4.655 * [backup-simplify]: Simplify (log i) into (log i)
4.655 * [taylor]: Taking taylor expansion of n in n
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.655 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.656 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.656 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.656 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.656 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.656 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.657 * [backup-simplify]: Simplify (+ 0 1) into 1
4.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.657 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
4.658 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.658 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
4.658 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.658 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
4.658 * [taylor]: Taking taylor expansion of -1 in n
4.658 * [backup-simplify]: Simplify -1 into -1
4.658 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
4.658 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.658 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.658 * [taylor]: Taking taylor expansion of -1 in n
4.658 * [backup-simplify]: Simplify -1 into -1
4.658 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.658 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.658 * [taylor]: Taking taylor expansion of (log n) in n
4.658 * [taylor]: Taking taylor expansion of n in n
4.658 * [backup-simplify]: Simplify 0 into 0
4.658 * [backup-simplify]: Simplify 1 into 1
4.658 * [backup-simplify]: Simplify (log 1) into 0
4.659 * [taylor]: Taking taylor expansion of (log i) in n
4.659 * [taylor]: Taking taylor expansion of i in n
4.659 * [backup-simplify]: Simplify i into i
4.659 * [backup-simplify]: Simplify (log i) into (log i)
4.659 * [taylor]: Taking taylor expansion of n in n
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.659 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.659 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.659 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.659 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.659 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.659 * [taylor]: Taking taylor expansion of (pow n 2) in n
4.659 * [taylor]: Taking taylor expansion of n in n
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (* 1 1) into 1
4.660 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (+ 0 0) into 0
4.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
4.665 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.665 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.666 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3)))
4.666 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
4.666 * [taylor]: Taking taylor expansion of (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) in n
4.666 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.666 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.666 * [taylor]: Taking taylor expansion of -1 in n
4.666 * [backup-simplify]: Simplify -1 into -1
4.666 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.666 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.666 * [taylor]: Taking taylor expansion of (log n) in n
4.666 * [taylor]: Taking taylor expansion of n in n
4.666 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify 1 into 1
4.666 * [backup-simplify]: Simplify (log 1) into 0
4.666 * [taylor]: Taking taylor expansion of (log i) in n
4.666 * [taylor]: Taking taylor expansion of i in n
4.667 * [backup-simplify]: Simplify i into i
4.667 * [backup-simplify]: Simplify (log i) into (log i)
4.667 * [taylor]: Taking taylor expansion of n in n
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.667 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.667 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.667 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.667 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.667 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.667 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.667 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n
4.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
4.667 * [taylor]: Taking taylor expansion of 1/2 in n
4.667 * [backup-simplify]: Simplify 1/2 into 1/2
4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
4.667 * [taylor]: Taking taylor expansion of (pow n 3) in n
4.667 * [taylor]: Taking taylor expansion of n in n
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.668 * [backup-simplify]: Simplify (/ 1 1) into 1
4.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
4.668 * [taylor]: Taking taylor expansion of 1/2 in n
4.668 * [backup-simplify]: Simplify 1/2 into 1/2
4.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
4.668 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.668 * [taylor]: Taking taylor expansion of n in n
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* 1 1) into 1
4.669 * [backup-simplify]: Simplify (* 1 1) into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.684 * [backup-simplify]: Simplify (+ 0 0) into 0
4.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.685 * [backup-simplify]: Simplify (+ 0 0) into 0
4.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.686 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.687 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.687 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
4.688 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (+ 0 0) into 0
4.696 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
4.696 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.697 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.697 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4))))
4.698 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
4.698 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) in n
4.698 * [taylor]: Taking taylor expansion of -1 in n
4.698 * [backup-simplify]: Simplify -1 into -1
4.698 * [taylor]: Taking taylor expansion of (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))) in n
4.698 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.698 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.698 * [taylor]: Taking taylor expansion of -1 in n
4.698 * [backup-simplify]: Simplify -1 into -1
4.698 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.698 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.698 * [taylor]: Taking taylor expansion of (log n) in n
4.699 * [taylor]: Taking taylor expansion of n in n
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (log 1) into 0
4.699 * [taylor]: Taking taylor expansion of (log i) in n
4.699 * [taylor]: Taking taylor expansion of i in n
4.699 * [backup-simplify]: Simplify i into i
4.699 * [backup-simplify]: Simplify (log i) into (log i)
4.699 * [taylor]: Taking taylor expansion of n in n
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.700 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.700 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.700 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.700 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.700 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.700 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))) in n
4.700 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
4.700 * [taylor]: Taking taylor expansion of 1/6 in n
4.700 * [backup-simplify]: Simplify 1/6 into 1/6
4.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
4.700 * [taylor]: Taking taylor expansion of (pow n 6) in n
4.700 * [taylor]: Taking taylor expansion of n in n
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 1 into 1
4.701 * [backup-simplify]: Simplify (* 1 1) into 1
4.701 * [backup-simplify]: Simplify (* 1 1) into 1
4.702 * [backup-simplify]: Simplify (* 1 1) into 1
4.702 * [backup-simplify]: Simplify (/ 1 1) into 1
4.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n
4.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
4.702 * [taylor]: Taking taylor expansion of 1/2 in n
4.702 * [backup-simplify]: Simplify 1/2 into 1/2
4.702 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
4.702 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.702 * [taylor]: Taking taylor expansion of n in n
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.704 * [backup-simplify]: Simplify (/ 1 1) into 1
4.704 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
4.704 * [taylor]: Taking taylor expansion of 1/3 in n
4.704 * [backup-simplify]: Simplify 1/3 into 1/3
4.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
4.704 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.704 * [taylor]: Taking taylor expansion of n in n
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (* 1 1) into 1
4.705 * [backup-simplify]: Simplify (* 1 1) into 1
4.705 * [backup-simplify]: Simplify (/ 1 1) into 1
4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.773 * [backup-simplify]: Simplify (+ 0 0) into 0
4.775 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.781 * [backup-simplify]: Simplify (+ 0 0) into 0
4.782 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
4.785 * [backup-simplify]: Simplify (+ 0 0) into 0
4.785 * [backup-simplify]: Simplify (+ 0 0) into 0
4.786 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.790 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
4.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.792 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
4.792 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
4.792 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
4.793 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.794 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.794 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.795 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
4.795 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
4.795 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
4.797 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))))) into 0
4.799 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))))) into 0
4.801 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0
4.802 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0
4.803 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/3) (+ (* 0 1/2) (* 0 1/6))) into (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n))))
4.804 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/2) (* 0 1/6)) into (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n))))
4.804 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))
4.806 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n))))) (+ (* 0 (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n))))) (* 0 (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))))))))) into 0
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
4.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
4.807 * [backup-simplify]: Simplify (- (pow (+ 1 (/ i n)) n) 1) into (- (pow (+ (/ i n) 1) n) 1)
4.807 * [approximate]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in (i n) around 0
4.807 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
4.807 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
4.807 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
4.807 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
4.807 * [taylor]: Taking taylor expansion of n in n
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 1 into 1
4.807 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
4.807 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
4.807 * [taylor]: Taking taylor expansion of (/ i n) in n
4.807 * [taylor]: Taking taylor expansion of i in n
4.807 * [backup-simplify]: Simplify i into i
4.807 * [taylor]: Taking taylor expansion of n in n
4.807 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 1 into 1
4.807 * [backup-simplify]: Simplify (/ i 1) into i
4.807 * [taylor]: Taking taylor expansion of 1 in n
4.807 * [backup-simplify]: Simplify 1 into 1
4.807 * [backup-simplify]: Simplify (+ i 0) into i
4.808 * [backup-simplify]: Simplify (log i) into (log i)
4.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.808 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (+ 0 1) into 1
4.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
4.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
4.811 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
4.811 * [backup-simplify]: Simplify (exp 0) into 1
4.811 * [taylor]: Taking taylor expansion of 1 in n
4.811 * [backup-simplify]: Simplify 1 into 1
4.811 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
4.811 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.811 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.811 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.811 * [taylor]: Taking taylor expansion of n in i
4.811 * [backup-simplify]: Simplify n into n
4.811 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.811 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.811 * [taylor]: Taking taylor expansion of (/ i n) in i
4.811 * [taylor]: Taking taylor expansion of i in i
4.811 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 1 into 1
4.812 * [taylor]: Taking taylor expansion of n in i
4.812 * [backup-simplify]: Simplify n into n
4.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.812 * [taylor]: Taking taylor expansion of 1 in i
4.812 * [backup-simplify]: Simplify 1 into 1
4.812 * [backup-simplify]: Simplify (+ 0 1) into 1
4.812 * [backup-simplify]: Simplify (log 1) into 0
4.813 * [backup-simplify]: Simplify (* n 0) into 0
4.813 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.814 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.814 * [backup-simplify]: Simplify (exp 0) into 1
4.814 * [taylor]: Taking taylor expansion of 1 in i
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
4.814 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
4.814 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
4.814 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
4.814 * [taylor]: Taking taylor expansion of n in i
4.814 * [backup-simplify]: Simplify n into n
4.814 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
4.814 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
4.814 * [taylor]: Taking taylor expansion of (/ i n) in i
4.814 * [taylor]: Taking taylor expansion of i in i
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [taylor]: Taking taylor expansion of n in i
4.814 * [backup-simplify]: Simplify n into n
4.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.814 * [taylor]: Taking taylor expansion of 1 in i
4.814 * [backup-simplify]: Simplify 1 into 1
4.815 * [backup-simplify]: Simplify (+ 0 1) into 1
4.815 * [backup-simplify]: Simplify (log 1) into 0
4.815 * [backup-simplify]: Simplify (* n 0) into 0
4.815 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
4.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
4.816 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
4.816 * [backup-simplify]: Simplify (exp 0) into 1
4.816 * [taylor]: Taking taylor expansion of 1 in i
4.816 * [backup-simplify]: Simplify 1 into 1
4.817 * [backup-simplify]: Simplify (- 1) into -1
4.817 * [backup-simplify]: Simplify (+ 1 -1) into 0
4.817 * [taylor]: Taking taylor expansion of 0 in n
4.817 * [backup-simplify]: Simplify 0 into 0
4.817 * [backup-simplify]: Simplify 0 into 0
4.819 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
4.819 * [backup-simplify]: Simplify (- 0) into 0
4.819 * [backup-simplify]: Simplify (+ 1 0) into 1
4.819 * [taylor]: Taking taylor expansion of 1 in n
4.819 * [backup-simplify]: Simplify 1 into 1
4.819 * [backup-simplify]: Simplify 1 into 1
4.820 * [backup-simplify]: Simplify 0 into 0
4.820 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
4.820 * [backup-simplify]: Simplify (+ 0 0) into 0
4.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
4.823 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
4.823 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
4.824 * [backup-simplify]: Simplify (- 0) into 0
4.824 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
4.824 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
4.824 * [taylor]: Taking taylor expansion of 1/2 in n
4.824 * [backup-simplify]: Simplify 1/2 into 1/2
4.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
4.824 * [taylor]: Taking taylor expansion of 1/2 in n
4.824 * [backup-simplify]: Simplify 1/2 into 1/2
4.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.824 * [taylor]: Taking taylor expansion of n in n
4.824 * [backup-simplify]: Simplify 0 into 0
4.824 * [backup-simplify]: Simplify 1 into 1
4.825 * [backup-simplify]: Simplify (/ 1 1) into 1
4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.827 * [backup-simplify]: Simplify (- 0) into 0
4.827 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.827 * [backup-simplify]: Simplify 1/2 into 1/2
4.827 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.828 * [backup-simplify]: Simplify (+ 0 0) into 0
4.832 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
4.833 * [backup-simplify]: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2)))
4.835 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
4.835 * [backup-simplify]: Simplify (- 0) into 0
4.835 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
4.835 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n
4.835 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n
4.835 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
4.836 * [taylor]: Taking taylor expansion of 1/3 in n
4.836 * [backup-simplify]: Simplify 1/3 into 1/3
4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
4.836 * [taylor]: Taking taylor expansion of (pow n 2) in n
4.836 * [taylor]: Taking taylor expansion of n in n
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 1 into 1
4.836 * [backup-simplify]: Simplify (* 1 1) into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.837 * [taylor]: Taking taylor expansion of 1/6 in n
4.837 * [backup-simplify]: Simplify 1/6 into 1/6
4.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
4.837 * [taylor]: Taking taylor expansion of 1/2 in n
4.837 * [backup-simplify]: Simplify 1/2 into 1/2
4.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.837 * [taylor]: Taking taylor expansion of n in n
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (/ 1 1) into 1
4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.842 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
4.842 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.844 * [backup-simplify]: Simplify (- 0) into 0
4.844 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
4.844 * [backup-simplify]: Simplify 1/6 into 1/6
4.845 * [backup-simplify]: Simplify (+ (* 1/6 (pow (* 1 i) 3)) (+ (* 1/2 (pow (* 1 i) 2)) (* 1 (* 1 i)))) into (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))))
4.845 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) into (- (pow (+ (/ n i) 1) (/ 1 n)) 1)
4.845 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in (i n) around 0
4.845 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
4.845 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
4.845 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
4.845 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
4.845 * [taylor]: Taking taylor expansion of (/ 1 n) in n
4.845 * [taylor]: Taking taylor expansion of n in n
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.846 * [backup-simplify]: Simplify (/ 1 1) into 1
4.846 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.846 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.846 * [taylor]: Taking taylor expansion of (/ n i) in n
4.846 * [taylor]: Taking taylor expansion of n in n
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [taylor]: Taking taylor expansion of i in n
4.846 * [backup-simplify]: Simplify i into i
4.846 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.846 * [taylor]: Taking taylor expansion of 1 in n
4.846 * [backup-simplify]: Simplify 1 into 1
4.847 * [backup-simplify]: Simplify (+ 0 1) into 1
4.847 * [backup-simplify]: Simplify (log 1) into 0
4.847 * [backup-simplify]: Simplify (* 1 0) into 0
4.847 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.848 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
4.848 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
4.848 * [taylor]: Taking taylor expansion of 1 in n
4.849 * [backup-simplify]: Simplify 1 into 1
4.849 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
4.849 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.849 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.849 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.849 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.849 * [taylor]: Taking taylor expansion of n in i
4.849 * [backup-simplify]: Simplify n into n
4.849 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.849 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.849 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.849 * [taylor]: Taking taylor expansion of (/ n i) in i
4.849 * [taylor]: Taking taylor expansion of n in i
4.849 * [backup-simplify]: Simplify n into n
4.849 * [taylor]: Taking taylor expansion of i in i
4.849 * [backup-simplify]: Simplify 0 into 0
4.849 * [backup-simplify]: Simplify 1 into 1
4.849 * [backup-simplify]: Simplify (/ n 1) into n
4.849 * [taylor]: Taking taylor expansion of 1 in i
4.849 * [backup-simplify]: Simplify 1 into 1
4.849 * [backup-simplify]: Simplify (+ n 0) into n
4.849 * [backup-simplify]: Simplify (log n) into (log n)
4.849 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.850 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.850 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.850 * [taylor]: Taking taylor expansion of 1 in i
4.850 * [backup-simplify]: Simplify 1 into 1
4.850 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
4.850 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
4.850 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
4.850 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
4.850 * [taylor]: Taking taylor expansion of (/ 1 n) in i
4.850 * [taylor]: Taking taylor expansion of n in i
4.850 * [backup-simplify]: Simplify n into n
4.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
4.850 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.850 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.850 * [taylor]: Taking taylor expansion of (/ n i) in i
4.850 * [taylor]: Taking taylor expansion of n in i
4.850 * [backup-simplify]: Simplify n into n
4.850 * [taylor]: Taking taylor expansion of i in i
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (/ n 1) into n
4.850 * [taylor]: Taking taylor expansion of 1 in i
4.850 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (+ n 0) into n
4.850 * [backup-simplify]: Simplify (log n) into (log n)
4.851 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.851 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
4.851 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.851 * [taylor]: Taking taylor expansion of 1 in i
4.851 * [backup-simplify]: Simplify 1 into 1
4.851 * [backup-simplify]: Simplify (- 1) into -1
4.851 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.851 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
4.851 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.851 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.851 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.851 * [taylor]: Taking taylor expansion of (log n) in n
4.851 * [taylor]: Taking taylor expansion of n in n
4.851 * [backup-simplify]: Simplify 0 into 0
4.851 * [backup-simplify]: Simplify 1 into 1
4.852 * [backup-simplify]: Simplify (log 1) into 0
4.852 * [taylor]: Taking taylor expansion of (log i) in n
4.852 * [taylor]: Taking taylor expansion of i in n
4.852 * [backup-simplify]: Simplify i into i
4.852 * [backup-simplify]: Simplify (log i) into (log i)
4.852 * [taylor]: Taking taylor expansion of n in n
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify 1 into 1
4.852 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.852 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.852 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.852 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.852 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.852 * [taylor]: Taking taylor expansion of 1 in n
4.852 * [backup-simplify]: Simplify 1 into 1
4.853 * [backup-simplify]: Simplify (- 1) into -1
4.853 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.853 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
4.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ 0 1) into 1
4.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
4.855 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.855 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
4.855 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.855 * [backup-simplify]: Simplify (- 0) into 0
4.855 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
4.855 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
4.856 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.856 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.856 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.856 * [taylor]: Taking taylor expansion of (log n) in n
4.856 * [taylor]: Taking taylor expansion of n in n
4.856 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify 1 into 1
4.856 * [backup-simplify]: Simplify (log 1) into 0
4.856 * [taylor]: Taking taylor expansion of (log i) in n
4.856 * [taylor]: Taking taylor expansion of i in n
4.856 * [backup-simplify]: Simplify i into i
4.856 * [backup-simplify]: Simplify (log i) into (log i)
4.856 * [taylor]: Taking taylor expansion of n in n
4.856 * [backup-simplify]: Simplify 0 into 0
4.856 * [backup-simplify]: Simplify 1 into 1
4.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.856 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.856 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.856 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.857 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.857 * [taylor]: Taking taylor expansion of (pow n 2) in n
4.857 * [taylor]: Taking taylor expansion of n in n
4.857 * [backup-simplify]: Simplify 0 into 0
4.857 * [backup-simplify]: Simplify 1 into 1
4.857 * [backup-simplify]: Simplify (* 1 1) into 1
4.857 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify (- 0) into 0
4.860 * [backup-simplify]: Simplify (+ 0 0) into 0
4.860 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
4.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.863 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.863 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3))))
4.863 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
4.864 * [backup-simplify]: Simplify (- 0) into 0
4.864 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
4.864 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) in n
4.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
4.864 * [taylor]: Taking taylor expansion of 1/2 in n
4.864 * [backup-simplify]: Simplify 1/2 into 1/2
4.864 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
4.864 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.864 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.864 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.864 * [taylor]: Taking taylor expansion of (log n) in n
4.864 * [taylor]: Taking taylor expansion of n in n
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 1 into 1
4.864 * [backup-simplify]: Simplify (log 1) into 0
4.864 * [taylor]: Taking taylor expansion of (log i) in n
4.864 * [taylor]: Taking taylor expansion of i in n
4.864 * [backup-simplify]: Simplify i into i
4.864 * [backup-simplify]: Simplify (log i) into (log i)
4.864 * [taylor]: Taking taylor expansion of n in n
4.864 * [backup-simplify]: Simplify 0 into 0
4.864 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.865 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.865 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.865 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.865 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.865 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.865 * [taylor]: Taking taylor expansion of n in n
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (* 1 1) into 1
4.866 * [backup-simplify]: Simplify (* 1 1) into 1
4.866 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
4.866 * [taylor]: Taking taylor expansion of 1/2 in n
4.866 * [backup-simplify]: Simplify 1/2 into 1/2
4.866 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
4.866 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.866 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.866 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.866 * [taylor]: Taking taylor expansion of (log n) in n
4.866 * [taylor]: Taking taylor expansion of n in n
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 1 into 1
4.866 * [backup-simplify]: Simplify (log 1) into 0
4.866 * [taylor]: Taking taylor expansion of (log i) in n
4.866 * [taylor]: Taking taylor expansion of i in n
4.866 * [backup-simplify]: Simplify i into i
4.866 * [backup-simplify]: Simplify (log i) into (log i)
4.866 * [taylor]: Taking taylor expansion of n in n
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 1 into 1
4.866 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.867 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.867 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.867 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.867 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.867 * [taylor]: Taking taylor expansion of (pow n 3) in n
4.867 * [taylor]: Taking taylor expansion of n in n
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify 1 into 1
4.867 * [backup-simplify]: Simplify (* 1 1) into 1
4.867 * [backup-simplify]: Simplify (* 1 1) into 1
4.867 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
4.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
4.886 * [backup-simplify]: Simplify (- 0) into 0
4.886 * [backup-simplify]: Simplify (+ 0 0) into 0
4.886 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.890 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify (- 0) into 0
4.891 * [backup-simplify]: Simplify (+ 0 0) into 0
4.891 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ 0 0) into 0
4.896 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
4.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
4.897 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.898 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4)))
4.899 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
4.899 * [backup-simplify]: Simplify (- 0) into 0
4.900 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
4.900 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
4.900 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
4.900 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
4.900 * [taylor]: Taking taylor expansion of 1/3 in n
4.900 * [backup-simplify]: Simplify 1/3 into 1/3
4.900 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
4.900 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.900 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.900 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.900 * [taylor]: Taking taylor expansion of (log n) in n
4.900 * [taylor]: Taking taylor expansion of n in n
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify (log 1) into 0
4.901 * [taylor]: Taking taylor expansion of (log i) in n
4.901 * [taylor]: Taking taylor expansion of i in n
4.901 * [backup-simplify]: Simplify i into i
4.901 * [backup-simplify]: Simplify (log i) into (log i)
4.901 * [taylor]: Taking taylor expansion of n in n
4.901 * [backup-simplify]: Simplify 0 into 0
4.901 * [backup-simplify]: Simplify 1 into 1
4.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.901 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.901 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.901 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.902 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.902 * [taylor]: Taking taylor expansion of (pow n 4) in n
4.902 * [taylor]: Taking taylor expansion of n in n
4.902 * [backup-simplify]: Simplify 0 into 0
4.902 * [backup-simplify]: Simplify 1 into 1
4.902 * [backup-simplify]: Simplify (* 1 1) into 1
4.903 * [backup-simplify]: Simplify (* 1 1) into 1
4.903 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.903 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
4.903 * [taylor]: Taking taylor expansion of 1/6 in n
4.903 * [backup-simplify]: Simplify 1/6 into 1/6
4.903 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
4.903 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.903 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.903 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.903 * [taylor]: Taking taylor expansion of (log n) in n
4.903 * [taylor]: Taking taylor expansion of n in n
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [backup-simplify]: Simplify 1 into 1
4.903 * [backup-simplify]: Simplify (log 1) into 0
4.903 * [taylor]: Taking taylor expansion of (log i) in n
4.903 * [taylor]: Taking taylor expansion of i in n
4.903 * [backup-simplify]: Simplify i into i
4.904 * [backup-simplify]: Simplify (log i) into (log i)
4.904 * [taylor]: Taking taylor expansion of n in n
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 1 into 1
4.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.904 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.904 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.904 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.904 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.904 * [taylor]: Taking taylor expansion of (pow n 6) in n
4.904 * [taylor]: Taking taylor expansion of n in n
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 1 into 1
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.905 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (* 1 1) into 1
4.906 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
4.906 * [taylor]: Taking taylor expansion of 1/2 in n
4.906 * [backup-simplify]: Simplify 1/2 into 1/2
4.906 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
4.906 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
4.906 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.906 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.906 * [taylor]: Taking taylor expansion of (log n) in n
4.906 * [taylor]: Taking taylor expansion of n in n
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [backup-simplify]: Simplify (log 1) into 0
4.907 * [taylor]: Taking taylor expansion of (log i) in n
4.907 * [taylor]: Taking taylor expansion of i in n
4.907 * [backup-simplify]: Simplify i into i
4.907 * [backup-simplify]: Simplify (log i) into (log i)
4.907 * [taylor]: Taking taylor expansion of n in n
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 1 into 1
4.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.910 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.910 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.910 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.910 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
4.910 * [taylor]: Taking taylor expansion of (pow n 5) in n
4.910 * [taylor]: Taking taylor expansion of n in n
4.910 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify 1 into 1
4.911 * [backup-simplify]: Simplify (* 1 1) into 1
4.911 * [backup-simplify]: Simplify (* 1 1) into 1
4.912 * [backup-simplify]: Simplify (* 1 1) into 1
4.912 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
4.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
4.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.951 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
4.951 * [backup-simplify]: Simplify (+ 0 0) into 0
4.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
4.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
4.975 * [backup-simplify]: Simplify (- 0) into 0
4.976 * [backup-simplify]: Simplify (+ 0 0) into 0
4.976 * [backup-simplify]: Simplify 0 into 0
4.976 * [backup-simplify]: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)
4.976 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) into (- (pow (+ (/ n i) 1) (/ -1 n)) 1)
4.976 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in (i n) around 0
4.976 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
4.976 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
4.977 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
4.977 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
4.977 * [taylor]: Taking taylor expansion of (/ -1 n) in n
4.977 * [taylor]: Taking taylor expansion of -1 in n
4.977 * [backup-simplify]: Simplify -1 into -1
4.977 * [taylor]: Taking taylor expansion of n in n
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 1 into 1
4.977 * [backup-simplify]: Simplify (/ -1 1) into -1
4.977 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
4.977 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
4.977 * [taylor]: Taking taylor expansion of (/ n i) in n
4.977 * [taylor]: Taking taylor expansion of n in n
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 1 into 1
4.977 * [taylor]: Taking taylor expansion of i in n
4.977 * [backup-simplify]: Simplify i into i
4.977 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.977 * [taylor]: Taking taylor expansion of 1 in n
4.978 * [backup-simplify]: Simplify 1 into 1
4.978 * [backup-simplify]: Simplify (+ 0 1) into 1
4.978 * [backup-simplify]: Simplify (log 1) into 0
4.979 * [backup-simplify]: Simplify (* -1 0) into 0
4.979 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
4.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
4.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.981 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
4.981 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
4.981 * [taylor]: Taking taylor expansion of 1 in n
4.981 * [backup-simplify]: Simplify 1 into 1
4.981 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
4.981 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.981 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.981 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.981 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.981 * [taylor]: Taking taylor expansion of -1 in i
4.981 * [backup-simplify]: Simplify -1 into -1
4.981 * [taylor]: Taking taylor expansion of n in i
4.981 * [backup-simplify]: Simplify n into n
4.981 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.981 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.981 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.981 * [taylor]: Taking taylor expansion of (/ n i) in i
4.981 * [taylor]: Taking taylor expansion of n in i
4.982 * [backup-simplify]: Simplify n into n
4.982 * [taylor]: Taking taylor expansion of i in i
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (/ n 1) into n
4.982 * [taylor]: Taking taylor expansion of 1 in i
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (+ n 0) into n
4.982 * [backup-simplify]: Simplify (log n) into (log n)
4.982 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.982 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.983 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.983 * [taylor]: Taking taylor expansion of 1 in i
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
4.983 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
4.983 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
4.983 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
4.983 * [taylor]: Taking taylor expansion of (/ -1 n) in i
4.983 * [taylor]: Taking taylor expansion of -1 in i
4.983 * [backup-simplify]: Simplify -1 into -1
4.983 * [taylor]: Taking taylor expansion of n in i
4.983 * [backup-simplify]: Simplify n into n
4.983 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
4.983 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
4.983 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
4.983 * [taylor]: Taking taylor expansion of (/ n i) in i
4.983 * [taylor]: Taking taylor expansion of n in i
4.983 * [backup-simplify]: Simplify n into n
4.983 * [taylor]: Taking taylor expansion of i in i
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (/ n 1) into n
4.983 * [taylor]: Taking taylor expansion of 1 in i
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (+ n 0) into n
4.983 * [backup-simplify]: Simplify (log n) into (log n)
4.984 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.984 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
4.984 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.984 * [taylor]: Taking taylor expansion of 1 in i
4.984 * [backup-simplify]: Simplify 1 into 1
4.985 * [backup-simplify]: Simplify (- 1) into -1
4.985 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.985 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
4.985 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.985 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.985 * [taylor]: Taking taylor expansion of -1 in n
4.985 * [backup-simplify]: Simplify -1 into -1
4.985 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.985 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.985 * [taylor]: Taking taylor expansion of (log n) in n
4.985 * [taylor]: Taking taylor expansion of n in n
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [backup-simplify]: Simplify 1 into 1
4.986 * [backup-simplify]: Simplify (log 1) into 0
4.986 * [taylor]: Taking taylor expansion of (log i) in n
4.986 * [taylor]: Taking taylor expansion of i in n
4.986 * [backup-simplify]: Simplify i into i
4.986 * [backup-simplify]: Simplify (log i) into (log i)
4.986 * [taylor]: Taking taylor expansion of n in n
4.986 * [backup-simplify]: Simplify 0 into 0
4.986 * [backup-simplify]: Simplify 1 into 1
4.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.986 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.986 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.986 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.987 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.987 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.987 * [taylor]: Taking taylor expansion of 1 in n
4.987 * [backup-simplify]: Simplify 1 into 1
4.987 * [backup-simplify]: Simplify (- 1) into -1
4.987 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.988 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
4.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
4.989 * [backup-simplify]: Simplify (+ 0 1) into 1
4.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
4.990 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
4.990 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
4.990 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
4.991 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.991 * [backup-simplify]: Simplify (- 0) into 0
4.992 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
4.992 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
4.992 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
4.992 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
4.992 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
4.992 * [taylor]: Taking taylor expansion of -1 in n
4.992 * [backup-simplify]: Simplify -1 into -1
4.992 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
4.992 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
4.992 * [taylor]: Taking taylor expansion of (log n) in n
4.992 * [taylor]: Taking taylor expansion of n in n
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 1 into 1
4.992 * [backup-simplify]: Simplify (log 1) into 0
4.992 * [taylor]: Taking taylor expansion of (log i) in n
4.992 * [taylor]: Taking taylor expansion of i in n
4.992 * [backup-simplify]: Simplify i into i
4.992 * [backup-simplify]: Simplify (log i) into (log i)
4.992 * [taylor]: Taking taylor expansion of n in n
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 1 into 1
4.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
4.993 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
4.993 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
4.993 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
4.993 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
4.993 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.993 * [taylor]: Taking taylor expansion of (pow n 2) in n
4.993 * [taylor]: Taking taylor expansion of n in n
4.993 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify 1 into 1
4.994 * [backup-simplify]: Simplify (* 1 1) into 1
4.994 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (- 0) into 0
4.998 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify (- 0) into 0
5.000 * [backup-simplify]: Simplify (+ 0 0) into 0
5.000 * [backup-simplify]: Simplify 0 into 0
5.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
5.003 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.004 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.004 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3)))
5.005 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
5.005 * [backup-simplify]: Simplify (- 0) into 0
5.006 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
5.006 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
5.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.006 * [taylor]: Taking taylor expansion of 1/2 in n
5.006 * [backup-simplify]: Simplify 1/2 into 1/2
5.006 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.006 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.006 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.006 * [taylor]: Taking taylor expansion of -1 in n
5.006 * [backup-simplify]: Simplify -1 into -1
5.006 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.006 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.006 * [taylor]: Taking taylor expansion of (log n) in n
5.006 * [taylor]: Taking taylor expansion of n in n
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 1 into 1
5.006 * [backup-simplify]: Simplify (log 1) into 0
5.006 * [taylor]: Taking taylor expansion of (log i) in n
5.006 * [taylor]: Taking taylor expansion of i in n
5.006 * [backup-simplify]: Simplify i into i
5.006 * [backup-simplify]: Simplify (log i) into (log i)
5.006 * [taylor]: Taking taylor expansion of n in n
5.007 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify 1 into 1
5.007 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.007 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.007 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.007 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.007 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.007 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.007 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.007 * [taylor]: Taking taylor expansion of n in n
5.007 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify 1 into 1
5.007 * [backup-simplify]: Simplify (* 1 1) into 1
5.008 * [backup-simplify]: Simplify (* 1 1) into 1
5.008 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
5.008 * [taylor]: Taking taylor expansion of 1/2 in n
5.008 * [backup-simplify]: Simplify 1/2 into 1/2
5.008 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
5.008 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.008 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.008 * [taylor]: Taking taylor expansion of -1 in n
5.008 * [backup-simplify]: Simplify -1 into -1
5.008 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.008 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.008 * [taylor]: Taking taylor expansion of (log n) in n
5.008 * [taylor]: Taking taylor expansion of n in n
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 1 into 1
5.008 * [backup-simplify]: Simplify (log 1) into 0
5.008 * [taylor]: Taking taylor expansion of (log i) in n
5.008 * [taylor]: Taking taylor expansion of i in n
5.008 * [backup-simplify]: Simplify i into i
5.008 * [backup-simplify]: Simplify (log i) into (log i)
5.008 * [taylor]: Taking taylor expansion of n in n
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 1 into 1
5.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.009 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.009 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.009 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.009 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.009 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.009 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.009 * [taylor]: Taking taylor expansion of n in n
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.009 * [backup-simplify]: Simplify (* 1 1) into 1
5.010 * [backup-simplify]: Simplify (* 1 1) into 1
5.010 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.029 * [backup-simplify]: Simplify (+ 0 0) into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.031 * [backup-simplify]: Simplify (- 0) into 0
5.031 * [backup-simplify]: Simplify 0 into 0
5.031 * [backup-simplify]: Simplify (- 0) into 0
5.032 * [backup-simplify]: Simplify (+ 0 0) into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.035 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
5.035 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.036 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.036 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4))))
5.037 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
5.037 * [backup-simplify]: Simplify (- 0) into 0
5.037 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
5.037 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) in n
5.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) in n
5.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.037 * [taylor]: Taking taylor expansion of 1/2 in n
5.037 * [backup-simplify]: Simplify 1/2 into 1/2
5.037 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.038 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.038 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.038 * [taylor]: Taking taylor expansion of -1 in n
5.038 * [backup-simplify]: Simplify -1 into -1
5.038 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.038 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.038 * [taylor]: Taking taylor expansion of (log n) in n
5.038 * [taylor]: Taking taylor expansion of n in n
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (log 1) into 0
5.038 * [taylor]: Taking taylor expansion of (log i) in n
5.038 * [taylor]: Taking taylor expansion of i in n
5.038 * [backup-simplify]: Simplify i into i
5.038 * [backup-simplify]: Simplify (log i) into (log i)
5.038 * [taylor]: Taking taylor expansion of n in n
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.038 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.038 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.038 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.039 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.039 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.039 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.039 * [taylor]: Taking taylor expansion of n in n
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [backup-simplify]: Simplify (* 1 1) into 1
5.039 * [backup-simplify]: Simplify (* 1 1) into 1
5.039 * [backup-simplify]: Simplify (* 1 1) into 1
5.040 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.040 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
5.040 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
5.040 * [taylor]: Taking taylor expansion of 1/6 in n
5.040 * [backup-simplify]: Simplify 1/6 into 1/6
5.040 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
5.040 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.040 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.040 * [taylor]: Taking taylor expansion of -1 in n
5.040 * [backup-simplify]: Simplify -1 into -1
5.040 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.040 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.040 * [taylor]: Taking taylor expansion of (log n) in n
5.040 * [taylor]: Taking taylor expansion of n in n
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.040 * [backup-simplify]: Simplify (log 1) into 0
5.040 * [taylor]: Taking taylor expansion of (log i) in n
5.040 * [taylor]: Taking taylor expansion of i in n
5.040 * [backup-simplify]: Simplify i into i
5.040 * [backup-simplify]: Simplify (log i) into (log i)
5.040 * [taylor]: Taking taylor expansion of n in n
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.040 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.041 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.041 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.041 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.041 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.041 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.041 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.041 * [taylor]: Taking taylor expansion of n in n
5.041 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (* 1 1) into 1
5.041 * [backup-simplify]: Simplify (* 1 1) into 1
5.042 * [backup-simplify]: Simplify (* 1 1) into 1
5.042 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.042 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.042 * [taylor]: Taking taylor expansion of 1/3 in n
5.042 * [backup-simplify]: Simplify 1/3 into 1/3
5.042 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.042 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.042 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.042 * [taylor]: Taking taylor expansion of -1 in n
5.042 * [backup-simplify]: Simplify -1 into -1
5.042 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.042 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.042 * [taylor]: Taking taylor expansion of (log n) in n
5.042 * [taylor]: Taking taylor expansion of n in n
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [backup-simplify]: Simplify (log 1) into 0
5.042 * [taylor]: Taking taylor expansion of (log i) in n
5.042 * [taylor]: Taking taylor expansion of i in n
5.042 * [backup-simplify]: Simplify i into i
5.042 * [backup-simplify]: Simplify (log i) into (log i)
5.042 * [taylor]: Taking taylor expansion of n in n
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.043 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.043 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.043 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.043 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.043 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.043 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.043 * [taylor]: Taking taylor expansion of n in n
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [backup-simplify]: Simplify 1 into 1
5.044 * [backup-simplify]: Simplify (* 1 1) into 1
5.044 * [backup-simplify]: Simplify (* 1 1) into 1
5.044 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.100 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
5.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.111 * [backup-simplify]: Simplify (+ 0 0) into 0
5.111 * [backup-simplify]: Simplify (+ 0 0) into 0
5.112 * [backup-simplify]: Simplify (- 0) into 0
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)
5.112 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.112 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) into (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i))
5.112 * [approximate]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in (i n) around 0
5.112 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in n
5.112 * [taylor]: Taking taylor expansion of 100 in n
5.112 * [backup-simplify]: Simplify 100 into 100
5.112 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n
5.112 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n
5.112 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
5.112 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
5.112 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
5.112 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
5.112 * [taylor]: Taking taylor expansion of n in n
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 1 into 1
5.112 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
5.112 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
5.112 * [taylor]: Taking taylor expansion of (/ i n) in n
5.112 * [taylor]: Taking taylor expansion of i in n
5.112 * [backup-simplify]: Simplify i into i
5.112 * [taylor]: Taking taylor expansion of n in n
5.113 * [backup-simplify]: Simplify 0 into 0
5.113 * [backup-simplify]: Simplify 1 into 1
5.113 * [backup-simplify]: Simplify (/ i 1) into i
5.113 * [taylor]: Taking taylor expansion of 1 in n
5.113 * [backup-simplify]: Simplify 1 into 1
5.113 * [backup-simplify]: Simplify (+ i 0) into i
5.113 * [backup-simplify]: Simplify (log i) into (log i)
5.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.113 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
5.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
5.114 * [backup-simplify]: Simplify (+ 0 1) into 1
5.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
5.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.115 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
5.115 * [backup-simplify]: Simplify (exp 0) into 1
5.115 * [taylor]: Taking taylor expansion of 1 in n
5.115 * [backup-simplify]: Simplify 1 into 1
5.115 * [taylor]: Taking taylor expansion of n in n
5.115 * [backup-simplify]: Simplify 0 into 0
5.115 * [backup-simplify]: Simplify 1 into 1
5.115 * [taylor]: Taking taylor expansion of i in n
5.115 * [backup-simplify]: Simplify i into i
5.116 * [backup-simplify]: Simplify (- 1) into -1
5.116 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.116 * [backup-simplify]: Simplify (* 0 0) into 0
5.117 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
5.117 * [backup-simplify]: Simplify (- 0) into 0
5.117 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
5.118 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
5.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (+ 0 0) into 0
5.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
5.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.122 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i)
5.123 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
5.123 * [backup-simplify]: Simplify (- 0) into 0
5.124 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
5.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n))
5.125 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
5.125 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
5.125 * [taylor]: Taking taylor expansion of 100 in i
5.125 * [backup-simplify]: Simplify 100 into 100
5.125 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
5.125 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
5.125 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.125 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.125 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.125 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.125 * [taylor]: Taking taylor expansion of n in i
5.126 * [backup-simplify]: Simplify n into n
5.126 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.126 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.126 * [taylor]: Taking taylor expansion of (/ i n) in i
5.126 * [taylor]: Taking taylor expansion of i in i
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [taylor]: Taking taylor expansion of n in i
5.126 * [backup-simplify]: Simplify n into n
5.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.126 * [taylor]: Taking taylor expansion of 1 in i
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (+ 0 1) into 1
5.127 * [backup-simplify]: Simplify (log 1) into 0
5.127 * [backup-simplify]: Simplify (* n 0) into 0
5.127 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.128 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.128 * [backup-simplify]: Simplify (exp 0) into 1
5.128 * [taylor]: Taking taylor expansion of 1 in i
5.128 * [backup-simplify]: Simplify 1 into 1
5.128 * [taylor]: Taking taylor expansion of n in i
5.128 * [backup-simplify]: Simplify n into n
5.128 * [taylor]: Taking taylor expansion of i in i
5.128 * [backup-simplify]: Simplify 0 into 0
5.128 * [backup-simplify]: Simplify 1 into 1
5.128 * [backup-simplify]: Simplify (- 1) into -1
5.129 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.129 * [backup-simplify]: Simplify (* 0 n) into 0
5.130 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.130 * [backup-simplify]: Simplify (- 0) into 0
5.131 * [backup-simplify]: Simplify (+ 1 0) into 1
5.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
5.131 * [backup-simplify]: Simplify (/ n 1) into n
5.131 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
5.131 * [taylor]: Taking taylor expansion of 100 in i
5.131 * [backup-simplify]: Simplify 100 into 100
5.131 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
5.131 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
5.131 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.131 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.131 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.131 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.131 * [taylor]: Taking taylor expansion of n in i
5.131 * [backup-simplify]: Simplify n into n
5.131 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.131 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.131 * [taylor]: Taking taylor expansion of (/ i n) in i
5.131 * [taylor]: Taking taylor expansion of i in i
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 1 into 1
5.131 * [taylor]: Taking taylor expansion of n in i
5.131 * [backup-simplify]: Simplify n into n
5.131 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.131 * [taylor]: Taking taylor expansion of 1 in i
5.131 * [backup-simplify]: Simplify 1 into 1
5.132 * [backup-simplify]: Simplify (+ 0 1) into 1
5.132 * [backup-simplify]: Simplify (log 1) into 0
5.132 * [backup-simplify]: Simplify (* n 0) into 0
5.132 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.134 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.134 * [backup-simplify]: Simplify (exp 0) into 1
5.134 * [taylor]: Taking taylor expansion of 1 in i
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [taylor]: Taking taylor expansion of n in i
5.135 * [backup-simplify]: Simplify n into n
5.135 * [taylor]: Taking taylor expansion of i in i
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [backup-simplify]: Simplify (- 1) into -1
5.135 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.135 * [backup-simplify]: Simplify (* 0 n) into 0
5.136 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.136 * [backup-simplify]: Simplify (- 0) into 0
5.136 * [backup-simplify]: Simplify (+ 1 0) into 1
5.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
5.137 * [backup-simplify]: Simplify (/ n 1) into n
5.137 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
5.137 * [taylor]: Taking taylor expansion of (* 100 n) in n
5.137 * [taylor]: Taking taylor expansion of 100 in n
5.137 * [backup-simplify]: Simplify 100 into 100
5.137 * [taylor]: Taking taylor expansion of n in n
5.137 * [backup-simplify]: Simplify 0 into 0
5.137 * [backup-simplify]: Simplify 1 into 1
5.138 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
5.138 * [backup-simplify]: Simplify (+ 0 0) into 0
5.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
5.140 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
5.141 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
5.141 * [backup-simplify]: Simplify (- 0) into 0
5.141 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
5.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
5.142 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
5.142 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
5.142 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
5.142 * [taylor]: Taking taylor expansion of (* 50 n) in n
5.142 * [taylor]: Taking taylor expansion of 50 in n
5.142 * [backup-simplify]: Simplify 50 into 50
5.142 * [taylor]: Taking taylor expansion of n in n
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 1 into 1
5.142 * [taylor]: Taking taylor expansion of 50 in n
5.142 * [backup-simplify]: Simplify 50 into 50
5.143 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
5.143 * [backup-simplify]: Simplify (- 0) into 0
5.143 * [backup-simplify]: Simplify (+ 0 0) into 0
5.143 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.144 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.144 * [backup-simplify]: Simplify (+ 0 0) into 0
5.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
5.147 * [backup-simplify]: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2)))
5.148 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
5.148 * [backup-simplify]: Simplify (- 0) into 0
5.148 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
5.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
5.150 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
5.150 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50)
5.150 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
5.150 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
5.150 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
5.150 * [taylor]: Taking taylor expansion of 50/3 in n
5.150 * [backup-simplify]: Simplify 50/3 into 50/3
5.150 * [taylor]: Taking taylor expansion of n in n
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 1 into 1
5.150 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
5.150 * [taylor]: Taking taylor expansion of 100/3 in n
5.150 * [backup-simplify]: Simplify 100/3 into 100/3
5.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.150 * [taylor]: Taking taylor expansion of n in n
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 1 into 1
5.151 * [backup-simplify]: Simplify (/ 1 1) into 1
5.151 * [taylor]: Taking taylor expansion of 50 in n
5.151 * [backup-simplify]: Simplify 50 into 50
5.151 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.154 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.154 * [backup-simplify]: Simplify (+ 0 0) into 0
5.154 * [backup-simplify]: Simplify (- 0) into 0
5.154 * [backup-simplify]: Simplify (+ 0 0) into 0
5.154 * [backup-simplify]: Simplify 0 into 0
5.155 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.155 * [backup-simplify]: Simplify (- 0) into 0
5.155 * [backup-simplify]: Simplify (+ 0 0) into 0
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) into (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n))
5.157 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in (i n) around 0
5.157 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in n
5.157 * [taylor]: Taking taylor expansion of 100 in n
5.157 * [backup-simplify]: Simplify 100 into 100
5.157 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n
5.157 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n
5.157 * [taylor]: Taking taylor expansion of i in n
5.157 * [backup-simplify]: Simplify i into i
5.157 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
5.157 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
5.157 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
5.157 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
5.157 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.157 * [taylor]: Taking taylor expansion of n in n
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [backup-simplify]: Simplify (/ 1 1) into 1
5.157 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.157 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.157 * [taylor]: Taking taylor expansion of (/ n i) in n
5.157 * [taylor]: Taking taylor expansion of n in n
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [taylor]: Taking taylor expansion of i in n
5.157 * [backup-simplify]: Simplify i into i
5.157 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.157 * [taylor]: Taking taylor expansion of 1 in n
5.157 * [backup-simplify]: Simplify 1 into 1
5.158 * [backup-simplify]: Simplify (+ 0 1) into 1
5.158 * [backup-simplify]: Simplify (log 1) into 0
5.158 * [backup-simplify]: Simplify (* 1 0) into 0
5.158 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.160 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
5.160 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
5.160 * [taylor]: Taking taylor expansion of 1 in n
5.160 * [backup-simplify]: Simplify 1 into 1
5.160 * [taylor]: Taking taylor expansion of n in n
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (- 1) into -1
5.161 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
5.161 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
5.161 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
5.161 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
5.161 * [taylor]: Taking taylor expansion of 100 in i
5.161 * [backup-simplify]: Simplify 100 into 100
5.161 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
5.161 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
5.161 * [taylor]: Taking taylor expansion of i in i
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.161 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.161 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.161 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.161 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.161 * [taylor]: Taking taylor expansion of n in i
5.161 * [backup-simplify]: Simplify n into n
5.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.161 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.161 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.161 * [taylor]: Taking taylor expansion of (/ n i) in i
5.161 * [taylor]: Taking taylor expansion of n in i
5.161 * [backup-simplify]: Simplify n into n
5.161 * [taylor]: Taking taylor expansion of i in i
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (/ n 1) into n
5.161 * [taylor]: Taking taylor expansion of 1 in i
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (+ n 0) into n
5.161 * [backup-simplify]: Simplify (log n) into (log n)
5.162 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.162 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.162 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.162 * [taylor]: Taking taylor expansion of 1 in i
5.162 * [backup-simplify]: Simplify 1 into 1
5.162 * [taylor]: Taking taylor expansion of n in i
5.162 * [backup-simplify]: Simplify n into n
5.162 * [backup-simplify]: Simplify (- 1) into -1
5.162 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.162 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ 0 1) into 1
5.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.164 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.164 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.165 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.165 * [backup-simplify]: Simplify (- 0) into 0
5.165 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.165 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.165 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
5.165 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
5.165 * [taylor]: Taking taylor expansion of 100 in i
5.165 * [backup-simplify]: Simplify 100 into 100
5.165 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
5.165 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
5.165 * [taylor]: Taking taylor expansion of i in i
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.166 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.166 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.166 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.166 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.166 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.166 * [taylor]: Taking taylor expansion of n in i
5.166 * [backup-simplify]: Simplify n into n
5.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.166 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.166 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.166 * [taylor]: Taking taylor expansion of (/ n i) in i
5.166 * [taylor]: Taking taylor expansion of n in i
5.166 * [backup-simplify]: Simplify n into n
5.166 * [taylor]: Taking taylor expansion of i in i
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (/ n 1) into n
5.166 * [taylor]: Taking taylor expansion of 1 in i
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (+ n 0) into n
5.166 * [backup-simplify]: Simplify (log n) into (log n)
5.166 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.166 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.166 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.166 * [taylor]: Taking taylor expansion of 1 in i
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [taylor]: Taking taylor expansion of n in i
5.166 * [backup-simplify]: Simplify n into n
5.167 * [backup-simplify]: Simplify (- 1) into -1
5.167 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.167 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.168 * [backup-simplify]: Simplify (+ 0 1) into 1
5.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.169 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.169 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.169 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.170 * [backup-simplify]: Simplify (- 0) into 0
5.170 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.170 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.170 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
5.170 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
5.170 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
5.170 * [taylor]: Taking taylor expansion of 100 in n
5.170 * [backup-simplify]: Simplify 100 into 100
5.170 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
5.170 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
5.170 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.171 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.171 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.171 * [taylor]: Taking taylor expansion of (log n) in n
5.171 * [taylor]: Taking taylor expansion of n in n
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [backup-simplify]: Simplify (log 1) into 0
5.171 * [taylor]: Taking taylor expansion of (log i) in n
5.171 * [taylor]: Taking taylor expansion of i in n
5.171 * [backup-simplify]: Simplify i into i
5.171 * [backup-simplify]: Simplify (log i) into (log i)
5.171 * [taylor]: Taking taylor expansion of n in n
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.171 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.171 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.171 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.172 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.172 * [taylor]: Taking taylor expansion of 1 in n
5.172 * [backup-simplify]: Simplify 1 into 1
5.172 * [taylor]: Taking taylor expansion of n in n
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 1 into 1
5.172 * [backup-simplify]: Simplify (- 1) into -1
5.172 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.172 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.172 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
5.172 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
5.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.173 * [backup-simplify]: Simplify (+ 0 0) into 0
5.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
5.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.175 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.175 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3))))
5.176 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
5.176 * [backup-simplify]: Simplify (- 0) into 0
5.176 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
5.177 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.177 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
5.177 * [backup-simplify]: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))
5.177 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
5.177 * [taylor]: Taking taylor expansion of 100 in n
5.177 * [backup-simplify]: Simplify 100 into 100
5.177 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
5.177 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.177 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.177 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.177 * [taylor]: Taking taylor expansion of (log n) in n
5.177 * [taylor]: Taking taylor expansion of n in n
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.178 * [backup-simplify]: Simplify (log 1) into 0
5.178 * [taylor]: Taking taylor expansion of (log i) in n
5.178 * [taylor]: Taking taylor expansion of i in n
5.178 * [backup-simplify]: Simplify i into i
5.178 * [backup-simplify]: Simplify (log i) into (log i)
5.178 * [taylor]: Taking taylor expansion of n in n
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.178 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.178 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.178 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.178 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.178 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.178 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.178 * [taylor]: Taking taylor expansion of n in n
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.179 * [backup-simplify]: Simplify (* 1 1) into 1
5.179 * [backup-simplify]: Simplify (* 1 1) into 1
5.179 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.184 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify (- 0) into 0
5.185 * [backup-simplify]: Simplify (+ 0 0) into 0
5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
5.186 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.192 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
5.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.192 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.193 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4)))
5.194 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
5.194 * [backup-simplify]: Simplify (- 0) into 0
5.195 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
5.197 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
5.198 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
5.199 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
5.199 * [taylor]: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
5.199 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
5.200 * [taylor]: Taking taylor expansion of 50 in n
5.200 * [backup-simplify]: Simplify 50 into 50
5.200 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
5.200 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.200 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.200 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.200 * [taylor]: Taking taylor expansion of (log n) in n
5.200 * [taylor]: Taking taylor expansion of n in n
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 1 into 1
5.200 * [backup-simplify]: Simplify (log 1) into 0
5.200 * [taylor]: Taking taylor expansion of (log i) in n
5.200 * [taylor]: Taking taylor expansion of i in n
5.200 * [backup-simplify]: Simplify i into i
5.200 * [backup-simplify]: Simplify (log i) into (log i)
5.201 * [taylor]: Taking taylor expansion of n in n
5.201 * [backup-simplify]: Simplify 0 into 0
5.201 * [backup-simplify]: Simplify 1 into 1
5.201 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.201 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.201 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.201 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.201 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.201 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.202 * [taylor]: Taking taylor expansion of n in n
5.202 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [backup-simplify]: Simplify (* 1 1) into 1
5.202 * [backup-simplify]: Simplify (* 1 1) into 1
5.203 * [backup-simplify]: Simplify (* 1 1) into 1
5.203 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.203 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
5.203 * [taylor]: Taking taylor expansion of 50 in n
5.203 * [backup-simplify]: Simplify 50 into 50
5.203 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
5.203 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.203 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.203 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.203 * [taylor]: Taking taylor expansion of (log n) in n
5.203 * [taylor]: Taking taylor expansion of n in n
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 1 into 1
5.204 * [backup-simplify]: Simplify (log 1) into 0
5.204 * [taylor]: Taking taylor expansion of (log i) in n
5.204 * [taylor]: Taking taylor expansion of i in n
5.204 * [backup-simplify]: Simplify i into i
5.204 * [backup-simplify]: Simplify (log i) into (log i)
5.204 * [taylor]: Taking taylor expansion of n in n
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 1 into 1
5.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.205 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.205 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.205 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.205 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.205 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.205 * [taylor]: Taking taylor expansion of n in n
5.205 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify 1 into 1
5.206 * [backup-simplify]: Simplify (* 1 1) into 1
5.206 * [backup-simplify]: Simplify (* 1 1) into 1
5.206 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.228 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.239 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
5.239 * [backup-simplify]: Simplify (- 0) into 0
5.240 * [backup-simplify]: Simplify (+ 0 0) into 0
5.240 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.245 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (- 0) into 0
5.246 * [backup-simplify]: Simplify (+ 0 0) into 0
5.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.248 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.252 * [backup-simplify]: Simplify (+ 0 0) into 0
5.259 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
5.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.260 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.260 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (- (* 1/4 (/ 1 (pow n 5))))
5.261 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
5.261 * [backup-simplify]: Simplify (- 0) into 0
5.262 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
5.264 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
5.265 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
5.266 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
5.266 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
5.266 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
5.266 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
5.266 * [taylor]: Taking taylor expansion of 50/3 in n
5.266 * [backup-simplify]: Simplify 50/3 into 50/3
5.266 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
5.266 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.266 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.266 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.266 * [taylor]: Taking taylor expansion of (log n) in n
5.266 * [taylor]: Taking taylor expansion of n in n
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 1 into 1
5.267 * [backup-simplify]: Simplify (log 1) into 0
5.267 * [taylor]: Taking taylor expansion of (log i) in n
5.267 * [taylor]: Taking taylor expansion of i in n
5.267 * [backup-simplify]: Simplify i into i
5.267 * [backup-simplify]: Simplify (log i) into (log i)
5.267 * [taylor]: Taking taylor expansion of n in n
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify 1 into 1
5.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.267 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.267 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.267 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.267 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.267 * [taylor]: Taking taylor expansion of (pow n 7) in n
5.267 * [taylor]: Taking taylor expansion of n in n
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify 1 into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.268 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
5.268 * [taylor]: Taking taylor expansion of 100/3 in n
5.268 * [backup-simplify]: Simplify 100/3 into 100/3
5.269 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
5.269 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.269 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.269 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.269 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0
5.269 * [taylor]: Taking taylor expansion of (log i) in n
5.269 * [taylor]: Taking taylor expansion of i in n
5.269 * [backup-simplify]: Simplify i into i
5.269 * [backup-simplify]: Simplify (log i) into (log i)
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) (log n)) 0) into (log n)
5.269 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.269 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.269 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.270 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.270 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.270 * [taylor]: Taking taylor expansion of n in n
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.270 * [backup-simplify]: Simplify (* 1 1) into 1
5.270 * [backup-simplify]: Simplify (* 1 1) into 1
5.270 * [backup-simplify]: Simplify (* 1 1) into 1
5.270 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.271 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
5.271 * [taylor]: Taking taylor expansion of 50 in n
5.271 * [backup-simplify]: Simplify 50 into 50
5.271 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
5.271 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.271 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.271 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.271 * [taylor]: Taking taylor expansion of (log n) in n
5.271 * [taylor]: Taking taylor expansion of n in n
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (log 1) into 0
5.271 * [taylor]: Taking taylor expansion of (log i) in n
5.271 * [taylor]: Taking taylor expansion of i in n
5.271 * [backup-simplify]: Simplify i into i
5.271 * [backup-simplify]: Simplify (log i) into (log i)
5.271 * [taylor]: Taking taylor expansion of n in n
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.272 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.272 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.272 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.272 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.272 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.272 * [taylor]: Taking taylor expansion of n in n
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (* 1 1) into 1
5.272 * [backup-simplify]: Simplify (* 1 1) into 1
5.273 * [backup-simplify]: Simplify (* 1 1) into 1
5.273 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.299 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
5.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.317 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.345 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
5.346 * [backup-simplify]: Simplify (- 0) into 0
5.346 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
5.347 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) into (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n))
5.347 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in (i n) around 0
5.347 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in n
5.347 * [taylor]: Taking taylor expansion of 100 in n
5.347 * [backup-simplify]: Simplify 100 into 100
5.347 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n
5.347 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n
5.347 * [taylor]: Taking taylor expansion of i in n
5.347 * [backup-simplify]: Simplify i into i
5.347 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
5.347 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
5.347 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
5.347 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
5.347 * [taylor]: Taking taylor expansion of (/ -1 n) in n
5.347 * [taylor]: Taking taylor expansion of -1 in n
5.347 * [backup-simplify]: Simplify -1 into -1
5.347 * [taylor]: Taking taylor expansion of n in n
5.347 * [backup-simplify]: Simplify 0 into 0
5.347 * [backup-simplify]: Simplify 1 into 1
5.348 * [backup-simplify]: Simplify (/ -1 1) into -1
5.348 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.348 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.348 * [taylor]: Taking taylor expansion of (/ n i) in n
5.348 * [taylor]: Taking taylor expansion of n in n
5.348 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify 1 into 1
5.348 * [taylor]: Taking taylor expansion of i in n
5.348 * [backup-simplify]: Simplify i into i
5.348 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.348 * [taylor]: Taking taylor expansion of 1 in n
5.348 * [backup-simplify]: Simplify 1 into 1
5.349 * [backup-simplify]: Simplify (+ 0 1) into 1
5.349 * [backup-simplify]: Simplify (log 1) into 0
5.350 * [backup-simplify]: Simplify (* -1 0) into 0
5.350 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.352 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
5.352 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
5.352 * [taylor]: Taking taylor expansion of 1 in n
5.352 * [backup-simplify]: Simplify 1 into 1
5.352 * [taylor]: Taking taylor expansion of n in n
5.352 * [backup-simplify]: Simplify 0 into 0
5.352 * [backup-simplify]: Simplify 1 into 1
5.352 * [backup-simplify]: Simplify (- 1) into -1
5.353 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1)
5.353 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1))
5.353 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1))
5.353 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
5.353 * [taylor]: Taking taylor expansion of 100 in i
5.353 * [backup-simplify]: Simplify 100 into 100
5.353 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
5.353 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
5.353 * [taylor]: Taking taylor expansion of i in i
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 1 into 1
5.353 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.353 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.353 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.353 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.353 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.353 * [taylor]: Taking taylor expansion of -1 in i
5.353 * [backup-simplify]: Simplify -1 into -1
5.353 * [taylor]: Taking taylor expansion of n in i
5.353 * [backup-simplify]: Simplify n into n
5.353 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.353 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.354 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.354 * [taylor]: Taking taylor expansion of (/ n i) in i
5.354 * [taylor]: Taking taylor expansion of n in i
5.354 * [backup-simplify]: Simplify n into n
5.354 * [taylor]: Taking taylor expansion of i in i
5.354 * [backup-simplify]: Simplify 0 into 0
5.354 * [backup-simplify]: Simplify 1 into 1
5.354 * [backup-simplify]: Simplify (/ n 1) into n
5.354 * [taylor]: Taking taylor expansion of 1 in i
5.354 * [backup-simplify]: Simplify 1 into 1
5.354 * [backup-simplify]: Simplify (+ n 0) into n
5.354 * [backup-simplify]: Simplify (log n) into (log n)
5.354 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.354 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.355 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.355 * [taylor]: Taking taylor expansion of 1 in i
5.355 * [backup-simplify]: Simplify 1 into 1
5.355 * [taylor]: Taking taylor expansion of n in i
5.355 * [backup-simplify]: Simplify n into n
5.355 * [backup-simplify]: Simplify (- 1) into -1
5.355 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.356 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
5.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.357 * [backup-simplify]: Simplify (+ 0 1) into 1
5.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.358 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.358 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.359 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.359 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
5.359 * [backup-simplify]: Simplify (- 0) into 0
5.360 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
5.360 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.360 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
5.360 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
5.360 * [taylor]: Taking taylor expansion of 100 in i
5.361 * [backup-simplify]: Simplify 100 into 100
5.361 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
5.361 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
5.361 * [taylor]: Taking taylor expansion of i in i
5.361 * [backup-simplify]: Simplify 0 into 0
5.361 * [backup-simplify]: Simplify 1 into 1
5.361 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.361 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.361 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.361 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.361 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.361 * [taylor]: Taking taylor expansion of -1 in i
5.361 * [backup-simplify]: Simplify -1 into -1
5.361 * [taylor]: Taking taylor expansion of n in i
5.361 * [backup-simplify]: Simplify n into n
5.361 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.361 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.361 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.361 * [taylor]: Taking taylor expansion of (/ n i) in i
5.361 * [taylor]: Taking taylor expansion of n in i
5.361 * [backup-simplify]: Simplify n into n
5.361 * [taylor]: Taking taylor expansion of i in i
5.361 * [backup-simplify]: Simplify 0 into 0
5.361 * [backup-simplify]: Simplify 1 into 1
5.361 * [backup-simplify]: Simplify (/ n 1) into n
5.361 * [taylor]: Taking taylor expansion of 1 in i
5.361 * [backup-simplify]: Simplify 1 into 1
5.361 * [backup-simplify]: Simplify (+ n 0) into n
5.361 * [backup-simplify]: Simplify (log n) into (log n)
5.362 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.362 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.362 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.362 * [taylor]: Taking taylor expansion of 1 in i
5.362 * [backup-simplify]: Simplify 1 into 1
5.362 * [taylor]: Taking taylor expansion of n in i
5.362 * [backup-simplify]: Simplify n into n
5.363 * [backup-simplify]: Simplify (- 1) into -1
5.363 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.363 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
5.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.364 * [backup-simplify]: Simplify (+ 0 1) into 1
5.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.365 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.366 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.366 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.366 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
5.367 * [backup-simplify]: Simplify (- 0) into 0
5.367 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
5.367 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.368 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
5.368 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
5.368 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
5.368 * [taylor]: Taking taylor expansion of 100 in n
5.368 * [backup-simplify]: Simplify 100 into 100
5.368 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
5.368 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
5.368 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.368 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.368 * [taylor]: Taking taylor expansion of -1 in n
5.368 * [backup-simplify]: Simplify -1 into -1
5.368 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.368 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.368 * [taylor]: Taking taylor expansion of (log n) in n
5.368 * [taylor]: Taking taylor expansion of n in n
5.368 * [backup-simplify]: Simplify 0 into 0
5.368 * [backup-simplify]: Simplify 1 into 1
5.369 * [backup-simplify]: Simplify (log 1) into 0
5.369 * [taylor]: Taking taylor expansion of (log i) in n
5.369 * [taylor]: Taking taylor expansion of i in n
5.369 * [backup-simplify]: Simplify i into i
5.369 * [backup-simplify]: Simplify (log i) into (log i)
5.369 * [taylor]: Taking taylor expansion of n in n
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.369 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.369 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.370 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.370 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.370 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.370 * [taylor]: Taking taylor expansion of 1 in n
5.370 * [backup-simplify]: Simplify 1 into 1
5.370 * [taylor]: Taking taylor expansion of n in n
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (- 1) into -1
5.373 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.373 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.374 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
5.374 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
5.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.376 * [backup-simplify]: Simplify (+ 0 0) into 0
5.377 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
5.378 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.378 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.379 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3)))
5.379 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
5.380 * [backup-simplify]: Simplify (- 0) into 0
5.380 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
5.381 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
5.382 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
5.382 * [backup-simplify]: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
5.383 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
5.383 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
5.383 * [taylor]: Taking taylor expansion of 100 in n
5.383 * [backup-simplify]: Simplify 100 into 100
5.383 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
5.383 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.383 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.383 * [taylor]: Taking taylor expansion of -1 in n
5.383 * [backup-simplify]: Simplify -1 into -1
5.383 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.383 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.383 * [taylor]: Taking taylor expansion of (log n) in n
5.383 * [taylor]: Taking taylor expansion of n in n
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify 1 into 1
5.384 * [backup-simplify]: Simplify (log 1) into 0
5.384 * [taylor]: Taking taylor expansion of (log i) in n
5.384 * [taylor]: Taking taylor expansion of i in n
5.384 * [backup-simplify]: Simplify i into i
5.384 * [backup-simplify]: Simplify (log i) into (log i)
5.384 * [taylor]: Taking taylor expansion of n in n
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 1 into 1
5.385 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.385 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.385 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.385 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.385 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.385 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.385 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.385 * [taylor]: Taking taylor expansion of n in n
5.385 * [backup-simplify]: Simplify 0 into 0
5.385 * [backup-simplify]: Simplify 1 into 1
5.386 * [backup-simplify]: Simplify (* 1 1) into 1
5.386 * [backup-simplify]: Simplify (* 1 1) into 1
5.386 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
5.393 * [backup-simplify]: Simplify (- 0) into 0
5.393 * [backup-simplify]: Simplify 0 into 0
5.394 * [backup-simplify]: Simplify (- 0) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
5.396 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
5.396 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.398 * [backup-simplify]: Simplify (+ 0 0) into 0
5.401 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
5.401 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.402 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.402 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4))))
5.403 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
5.404 * [backup-simplify]: Simplify (- 0) into 0
5.405 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
5.407 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
5.407 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
5.408 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
5.408 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
5.408 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.408 * [taylor]: Taking taylor expansion of 50 in n
5.408 * [backup-simplify]: Simplify 50 into 50
5.408 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.408 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.408 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.408 * [taylor]: Taking taylor expansion of -1 in n
5.408 * [backup-simplify]: Simplify -1 into -1
5.408 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.408 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.408 * [taylor]: Taking taylor expansion of (log n) in n
5.408 * [taylor]: Taking taylor expansion of n in n
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 1 into 1
5.409 * [backup-simplify]: Simplify (log 1) into 0
5.409 * [taylor]: Taking taylor expansion of (log i) in n
5.409 * [taylor]: Taking taylor expansion of i in n
5.409 * [backup-simplify]: Simplify i into i
5.409 * [backup-simplify]: Simplify (log i) into (log i)
5.409 * [taylor]: Taking taylor expansion of n in n
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 1 into 1
5.409 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.409 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.409 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.409 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.409 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.409 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.410 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.410 * [taylor]: Taking taylor expansion of n in n
5.410 * [backup-simplify]: Simplify 0 into 0
5.410 * [backup-simplify]: Simplify 1 into 1
5.410 * [backup-simplify]: Simplify (* 1 1) into 1
5.410 * [backup-simplify]: Simplify (* 1 1) into 1
5.410 * [backup-simplify]: Simplify (* 1 1) into 1
5.410 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.410 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.410 * [taylor]: Taking taylor expansion of 50 in n
5.410 * [backup-simplify]: Simplify 50 into 50
5.411 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.411 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.411 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.411 * [taylor]: Taking taylor expansion of -1 in n
5.411 * [backup-simplify]: Simplify -1 into -1
5.411 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.411 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.411 * [taylor]: Taking taylor expansion of (log n) in n
5.411 * [taylor]: Taking taylor expansion of n in n
5.411 * [backup-simplify]: Simplify 0 into 0
5.411 * [backup-simplify]: Simplify 1 into 1
5.411 * [backup-simplify]: Simplify (log 1) into 0
5.411 * [taylor]: Taking taylor expansion of (log i) in n
5.411 * [taylor]: Taking taylor expansion of i in n
5.411 * [backup-simplify]: Simplify i into i
5.411 * [backup-simplify]: Simplify (log i) into (log i)
5.411 * [taylor]: Taking taylor expansion of n in n
5.411 * [backup-simplify]: Simplify 0 into 0
5.411 * [backup-simplify]: Simplify 1 into 1
5.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.411 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.411 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.412 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.412 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.412 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.412 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.412 * [taylor]: Taking taylor expansion of n in n
5.412 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify 1 into 1
5.412 * [backup-simplify]: Simplify (* 1 1) into 1
5.412 * [backup-simplify]: Simplify (* 1 1) into 1
5.412 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.425 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.432 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.433 * [backup-simplify]: Simplify (+ 0 0) into 0
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.436 * [backup-simplify]: Simplify (- 0) into 0
5.436 * [backup-simplify]: Simplify 0 into 0
5.437 * [backup-simplify]: Simplify (- 0) into 0
5.437 * [backup-simplify]: Simplify (+ 0 0) into 0
5.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.438 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
5.438 * [backup-simplify]: Simplify 0 into 0
5.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.441 * [backup-simplify]: Simplify (+ 0 0) into 0
5.446 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
5.446 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.447 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.447 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (* 1/4 (/ 1 (pow n 5)))
5.449 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
5.449 * [backup-simplify]: Simplify (- 0) into 0
5.450 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
5.454 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
5.457 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
5.460 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
5.460 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
5.460 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
5.460 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
5.460 * [taylor]: Taking taylor expansion of 50/3 in n
5.460 * [backup-simplify]: Simplify 50/3 into 50/3
5.460 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
5.460 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.460 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.460 * [taylor]: Taking taylor expansion of -1 in n
5.460 * [backup-simplify]: Simplify -1 into -1
5.460 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.460 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.460 * [taylor]: Taking taylor expansion of (log n) in n
5.460 * [taylor]: Taking taylor expansion of n in n
5.460 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify 1 into 1
5.461 * [backup-simplify]: Simplify (log 1) into 0
5.461 * [taylor]: Taking taylor expansion of (log i) in n
5.461 * [taylor]: Taking taylor expansion of i in n
5.461 * [backup-simplify]: Simplify i into i
5.461 * [backup-simplify]: Simplify (log i) into (log i)
5.461 * [taylor]: Taking taylor expansion of n in n
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 1 into 1
5.461 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.462 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.462 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.462 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.462 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.462 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.462 * [taylor]: Taking taylor expansion of (pow n 7) in n
5.462 * [taylor]: Taking taylor expansion of n in n
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.464 * [backup-simplify]: Simplify (* 1 1) into 1
5.464 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.464 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
5.464 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.464 * [taylor]: Taking taylor expansion of 100/3 in n
5.464 * [backup-simplify]: Simplify 100/3 into 100/3
5.464 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.464 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.464 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.464 * [taylor]: Taking taylor expansion of -1 in n
5.464 * [backup-simplify]: Simplify -1 into -1
5.464 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.464 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.464 * [taylor]: Taking taylor expansion of (log n) in n
5.464 * [taylor]: Taking taylor expansion of n in n
5.465 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify 1 into 1
5.465 * [backup-simplify]: Simplify (log 1) into 0
5.465 * [taylor]: Taking taylor expansion of (log i) in n
5.465 * [taylor]: Taking taylor expansion of i in n
5.465 * [backup-simplify]: Simplify i into i
5.465 * [backup-simplify]: Simplify (log i) into (log i)
5.465 * [taylor]: Taking taylor expansion of n in n
5.465 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify 1 into 1
5.466 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.466 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.466 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.466 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.466 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.466 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.466 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.466 * [taylor]: Taking taylor expansion of n in n
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 1 into 1
5.467 * [backup-simplify]: Simplify (* 1 1) into 1
5.467 * [backup-simplify]: Simplify (* 1 1) into 1
5.467 * [backup-simplify]: Simplify (* 1 1) into 1
5.467 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.467 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
5.467 * [taylor]: Taking taylor expansion of 50 in n
5.467 * [backup-simplify]: Simplify 50 into 50
5.467 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
5.467 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.467 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.467 * [taylor]: Taking taylor expansion of -1 in n
5.467 * [backup-simplify]: Simplify -1 into -1
5.467 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.467 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.467 * [taylor]: Taking taylor expansion of (log n) in n
5.467 * [taylor]: Taking taylor expansion of n in n
5.467 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify 1 into 1
5.468 * [backup-simplify]: Simplify (log 1) into 0
5.468 * [taylor]: Taking taylor expansion of (log i) in n
5.468 * [taylor]: Taking taylor expansion of i in n
5.468 * [backup-simplify]: Simplify i into i
5.468 * [backup-simplify]: Simplify (log i) into (log i)
5.468 * [taylor]: Taking taylor expansion of n in n
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 1 into 1
5.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.468 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.468 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.468 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.468 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.468 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.468 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.468 * [taylor]: Taking taylor expansion of n in n
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 1 into 1
5.469 * [backup-simplify]: Simplify (* 1 1) into 1
5.469 * [backup-simplify]: Simplify (* 1 1) into 1
5.469 * [backup-simplify]: Simplify (* 1 1) into 1
5.469 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
5.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.522 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.551 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
5.551 * [backup-simplify]: Simplify (+ 0 0) into 0
5.551 * [backup-simplify]: Simplify (+ 0 0) into 0
5.552 * [backup-simplify]: Simplify (- 0) into 0
5.552 * [backup-simplify]: Simplify 0 into 0
5.552 * [backup-simplify]: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
5.552 * * * [progress]: simplifying candidates
5.552 * * * * [progress]: [ 1 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (log1p (expm1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.552 * * * * [progress]: [ 2 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (expm1 (log1p (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.553 * * * * [progress]: [ 3 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 1)))>
5.553 * * * * [progress]: [ 4 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (- (pow (+ 1 (/ i n)) n) 1)) (- (log i) (log n))))))>
5.553 * * * * [progress]: [ 5 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n))))))>
5.553 * * * * [progress]: [ 6 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.553 * * * * [progress]: [ 7 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.553 * * * * [progress]: [ 8 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (* i i) i) (* (* n n) n))))))>
5.553 * * * * [progress]: [ 9 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ i n) (/ i n)) (/ i n))))))>
5.553 * * * * [progress]: [ 10 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.553 * * * * [progress]: [ 11 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.553 * * * * [progress]: [ 12 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
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5.553 * * * * [progress]: [ 15 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))))))>
5.553 * * * * [progress]: [ 16 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))))))>
5.553 * * * * [progress]: [ 17 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n))))))>
5.554 * * * * [progress]: [ 18 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n))))))>
5.554 * * * * [progress]: [ 19 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) 1)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n)))))>
5.554 * * * * [progress]: [ 20 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n))))))>
5.554 * * * * [progress]: [ 21 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n))))))>
5.554 * * * * [progress]: [ 22 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) 1)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n)))))>
5.554 * * * * [progress]: [ 23 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (* (cbrt n) (cbrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n))))))>
5.554 * * * * [progress]: [ 24 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (sqrt n))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n))))))>
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5.554 * * * * [progress]: [ 26 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))))>
5.554 * * * * [progress]: [ 27 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)))))>
5.554 * * * * [progress]: [ 28 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))))))>
5.554 * * * * [progress]: [ 29 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))))))>
5.554 * * * * [progress]: [ 30 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n))))))>
5.555 * * * * [progress]: [ 31 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n))))))>
5.555 * * * * [progress]: [ 32 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n)))))>
5.555 * * * * [progress]: [ 33 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n))))))>
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5.555 * * * * [progress]: [ 35 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n)))))>
5.555 * * * * [progress]: [ 36 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n))))))>
5.555 * * * * [progress]: [ 37 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n))))))>
5.555 * * * * [progress]: [ 38 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))))>
5.555 * * * * [progress]: [ 39 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))))>
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5.555 * * * * [progress]: [ 41 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n))))))>
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5.555 * * * * [progress]: [ 45 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n)))))>
5.555 * * * * [progress]: [ 46 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n))))))>
5.556 * * * * [progress]: [ 47 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (sqrt i) (sqrt n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n))))))>
5.556 * * * * [progress]: [ 48 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (sqrt i) 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n)))))>
5.556 * * * * [progress]: [ 49 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n))))))>
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5.556 * * * * [progress]: [ 51 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
5.556 * * * * [progress]: [ 52 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 1) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
5.556 * * * * [progress]: [ 53 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n)))))>
5.556 * * * * [progress]: [ 54 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (cbrt (/ i n))))))>
5.556 * * * * [progress]: [ 55 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n))))))>
5.556 * * * * [progress]: [ 56 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (cbrt n))))))>
5.556 * * * * [progress]: [ 57 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (sqrt n))))))>
5.556 * * * * [progress]: [ 58 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) n)))))>
5.556 * * * * [progress]: [ 59 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (cbrt n))))))>
5.556 * * * * [progress]: [ 60 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n))))))>
5.556 * * * * [progress]: [ 61 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) n)))))>
5.557 * * * * [progress]: [ 62 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (cbrt n))))))>
5.557 * * * * [progress]: [ 63 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (sqrt n))))))>
5.557 * * * * [progress]: [ 64 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n)))))>
5.557 * * * * [progress]: [ 65 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) 1) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n)))))>
5.557 * * * * [progress]: [ 66 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) i) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 n)))))>
5.557 * * * * [progress]: [ 67 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n))))))>
5.557 * * * * [progress]: [ 68 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))))))>
5.557 * * * * [progress]: [ 69 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (cbrt n))))))>
5.557 * * * * [progress]: [ 70 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (sqrt n))))))>
5.557 * * * * [progress]: [ 71 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) n)))))>
5.557 * * * * [progress]: [ 72 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (cbrt n))))))>
5.557 * * * * [progress]: [ 73 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n))))))>
5.557 * * * * [progress]: [ 74 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) n)))))>
5.557 * * * * [progress]: [ 75 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (cbrt n))))))>
5.558 * * * * [progress]: [ 76 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (sqrt n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (sqrt n))))))>
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5.558 * * * * [progress]: [ 78 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n)))))>
5.558 * * * * [progress]: [ 79 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n)))))>
5.558 * * * * [progress]: [ 80 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (cbrt (/ i n))))))>
5.558 * * * * [progress]: [ 81 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n))))))>
5.558 * * * * [progress]: [ 82 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (cbrt n))))))>
5.558 * * * * [progress]: [ 83 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (sqrt n))))))>
5.558 * * * * [progress]: [ 84 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) n)))))>
5.558 * * * * [progress]: [ 85 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (cbrt n))))))>
5.558 * * * * [progress]: [ 86 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n))))))>
5.558 * * * * [progress]: [ 87 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) n)))))>
5.558 * * * * [progress]: [ 88 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (cbrt n))))))>
5.558 * * * * [progress]: [ 89 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (sqrt n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (sqrt n))))))>
5.559 * * * * [progress]: [ 90 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n)))))>
5.559 * * * * [progress]: [ 91 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) 1) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n)))))>
5.559 * * * * [progress]: [ 92 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) i) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 n)))))>
5.559 * * * * [progress]: [ 93 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n))))))>
5.559 * * * * [progress]: [ 94 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))))))>
5.559 * * * * [progress]: [ 95 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (cbrt n))))))>
5.559 * * * * [progress]: [ 96 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (sqrt n))))))>
5.559 * * * * [progress]: [ 97 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) n)))))>
5.559 * * * * [progress]: [ 98 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (cbrt n))))))>
5.559 * * * * [progress]: [ 99 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n))))))>
5.559 * * * * [progress]: [ 100 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) n)))))>
5.559 * * * * [progress]: [ 101 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (cbrt n))))))>
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5.573 * * * * [progress]: [ 308 / 508 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ i n) (/ i n)) (/ i n))))))>
5.573 * * * * [progress]: [ 309 / 508 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.573 * * * * [progress]: [ 310 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.574 * * * * [progress]: [ 311 / 508 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.574 * * * * [progress]: [ 312 / 508 ] simplifiying candidate #<alt (λ (i n) (* (sqrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (sqrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.574 * * * * [progress]: [ 313 / 508 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
5.574 * * * * [progress]: [ 314 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (* (sqrt 100) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.574 * * * * [progress]: [ 315 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))) (* (sqrt 100) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))))))>
5.574 * * * * [progress]: [ 316 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))) (* (sqrt 100) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n))))))>
5.574 * * * * [progress]: [ 317 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
5.574 * * * * [progress]: [ 318 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
5.574 * * * * [progress]: [ 319 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))>
5.574 * * * * [progress]: [ 320 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))>
5.574 * * * * [progress]: [ 321 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n)))))>
5.574 * * * * [progress]: [ 322 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n)))))>
5.574 * * * * [progress]: [ 323 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n))))>
5.575 * * * * [progress]: [ 324 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))))>
5.575 * * * * [progress]: [ 325 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))))>
5.575 * * * * [progress]: [ 326 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n))))>
5.575 * * * * [progress]: [ 327 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (* (cbrt n) (cbrt n))))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))))>
5.575 * * * * [progress]: [ 328 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (sqrt n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))))>
5.575 * * * * [progress]: [ 329 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))>
5.575 * * * * [progress]: [ 330 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))>
5.575 * * * * [progress]: [ 331 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))>
5.575 * * * * [progress]: [ 332 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))>
5.575 * * * * [progress]: [ 333 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))>
5.575 * * * * [progress]: [ 334 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n)))))>
5.575 * * * * [progress]: [ 335 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n)))))>
5.575 * * * * [progress]: [ 336 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n))))>
5.575 * * * * [progress]: [ 337 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))))>
5.576 * * * * [progress]: [ 338 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))))>
5.576 * * * * [progress]: [ 339 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n))))>
5.576 * * * * [progress]: [ 340 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n))))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))))>
5.576 * * * * [progress]: [ 341 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))))>
5.576 * * * * [progress]: [ 342 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))>
5.576 * * * * [progress]: [ 343 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))>
5.576 * * * * [progress]: [ 344 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))>
5.576 * * * * [progress]: [ 345 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))))>
5.576 * * * * [progress]: [ 346 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))>
5.576 * * * * [progress]: [ 347 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (cbrt n)))))>
5.576 * * * * [progress]: [ 348 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))))>
5.576 * * * * [progress]: [ 349 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))))>
5.576 * * * * [progress]: [ 350 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))))>
5.576 * * * * [progress]: [ 351 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))))>
5.576 * * * * [progress]: [ 352 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n))))>
5.576 * * * * [progress]: [ 353 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))))>
5.577 * * * * [progress]: [ 354 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))))>
5.577 * * * * [progress]: [ 355 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
5.577 * * * * [progress]: [ 356 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
5.577 * * * * [progress]: [ 357 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 i)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))>
5.577 * * * * [progress]: [ 358 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (cbrt (/ i n)))))>
5.577 * * * * [progress]: [ 359 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n)))))>
5.577 * * * * [progress]: [ 360 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (cbrt n)))))>
5.577 * * * * [progress]: [ 361 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (sqrt n)))))>
5.577 * * * * [progress]: [ 362 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) n))))>
5.577 * * * * [progress]: [ 363 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (cbrt n)))))>
5.577 * * * * [progress]: [ 364 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n)))))>
5.577 * * * * [progress]: [ 365 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) n))))>
5.577 * * * * [progress]: [ 366 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (cbrt n)))))>
5.577 * * * * [progress]: [ 367 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (sqrt n)))))>
5.578 * * * * [progress]: [ 368 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n))))>
5.578 * * * * [progress]: [ 369 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n))))>
5.578 * * * * [progress]: [ 370 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) i)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 n))))>
5.578 * * * * [progress]: [ 371 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n)))))>
5.578 * * * * [progress]: [ 372 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))))>
5.578 * * * * [progress]: [ 373 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (cbrt n)))))>
5.578 * * * * [progress]: [ 374 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (sqrt n)))))>
5.578 * * * * [progress]: [ 375 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) n))))>
5.578 * * * * [progress]: [ 376 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (cbrt n)))))>
5.578 * * * * [progress]: [ 377 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))))>
5.578 * * * * [progress]: [ 378 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) n))))>
5.578 * * * * [progress]: [ 379 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (cbrt n)))))>
5.578 * * * * [progress]: [ 380 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (sqrt n)))))>
5.578 * * * * [progress]: [ 381 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))))>
5.578 * * * * [progress]: [ 382 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))))>
5.579 * * * * [progress]: [ 383 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))))>
5.579 * * * * [progress]: [ 384 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (cbrt (/ i n)))))>
5.579 * * * * [progress]: [ 385 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n)))))>
5.579 * * * * [progress]: [ 386 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (cbrt n)))))>
5.579 * * * * [progress]: [ 387 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (sqrt n)))))>
5.579 * * * * [progress]: [ 388 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) n))))>
5.579 * * * * [progress]: [ 389 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (cbrt n)))))>
5.579 * * * * [progress]: [ 390 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n)))))>
5.579 * * * * [progress]: [ 391 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) n))))>
5.579 * * * * [progress]: [ 392 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (cbrt n)))))>
5.579 * * * * [progress]: [ 393 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (sqrt n)))))>
5.579 * * * * [progress]: [ 394 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n))))>
5.579 * * * * [progress]: [ 395 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n))))>
5.579 * * * * [progress]: [ 396 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) i)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 n))))>
5.580 * * * * [progress]: [ 397 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n)))))>
5.580 * * * * [progress]: [ 398 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))))>
5.580 * * * * [progress]: [ 399 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (cbrt n)))))>
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5.580 * * * * [progress]: [ 401 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) n))))>
5.580 * * * * [progress]: [ 402 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (cbrt n)))))>
5.580 * * * * [progress]: [ 403 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))))>
5.580 * * * * [progress]: [ 404 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) n))))>
5.580 * * * * [progress]: [ 405 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (cbrt n)))))>
5.580 * * * * [progress]: [ 406 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (sqrt n)))))>
5.580 * * * * [progress]: [ 407 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))))>
5.580 * * * * [progress]: [ 408 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))))>
5.580 * * * * [progress]: [ 409 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))))>
5.580 * * * * [progress]: [ 410 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (cbrt (/ i n)))))>
5.581 * * * * [progress]: [ 411 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (sqrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (sqrt (/ i n)))))>
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5.582 * * * * [progress]: [ 425 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) (cbrt n)))))>
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5.582 * * * * [progress]: [ 427 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) n))))>
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5.582 * * * * [progress]: [ 429 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))))>
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5.582 * * * * [progress]: [ 431 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i (cbrt n)))))>
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5.582 * * * * [progress]: [ 436 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n)))))>
5.582 * * * * [progress]: [ 437 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))))>
5.582 * * * * [progress]: [ 438 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (cbrt n)))))>
5.583 * * * * [progress]: [ 439 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (sqrt n)))))>
5.583 * * * * [progress]: [ 440 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) n))))>
5.583 * * * * [progress]: [ 441 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (cbrt n)))))>
5.583 * * * * [progress]: [ 442 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))))>
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5.583 * * * * [progress]: [ 444 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (cbrt n)))))>
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5.583 * * * * [progress]: [ 448 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))))>
5.583 * * * * [progress]: [ 449 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n)))))>
5.583 * * * * [progress]: [ 450 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))))>
5.583 * * * * [progress]: [ 451 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (cbrt n)))))>
5.584 * * * * [progress]: [ 452 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (sqrt n)))))>
5.584 * * * * [progress]: [ 453 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) n))))>
5.584 * * * * [progress]: [ 454 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (cbrt n)))))>
5.584 * * * * [progress]: [ 455 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))))>
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5.584 * * * * [progress]: [ 457 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (cbrt n)))))>
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5.584 * * * * [progress]: [ 462 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (cbrt (/ i n)))))>
5.584 * * * * [progress]: [ 463 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n)))))>
5.584 * * * * [progress]: [ 464 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) (cbrt n)))))>
5.584 * * * * [progress]: [ 465 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) (sqrt n)))))>
5.585 * * * * [progress]: [ 466 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) n))))>
5.585 * * * * [progress]: [ 467 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (cbrt n)))))>
5.585 * * * * [progress]: [ 468 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))))>
5.585 * * * * [progress]: [ 469 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) 1))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) n))))>
5.585 * * * * [progress]: [ 470 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i (cbrt n)))))>
5.585 * * * * [progress]: [ 471 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i (sqrt n)))))>
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5.585 * * * * [progress]: [ 476 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))>
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5.585 * * * * [progress]: [ 478 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))))>
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5.586 * * * * [progress]: [ 480 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))))>
5.586 * * * * [progress]: [ 481 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))))>
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5.586 * * * * [progress]: [ 485 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
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5.586 * * * * [progress]: [ 487 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 i)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))>
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5.586 * * * * [progress]: [ 489 / 508 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (/ i n))))>
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5.586 * * * * [progress]: [ 492 / 508 ] simplifiying candidate #<alt (λ (i n) (* (sqrt 100) (* (sqrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
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5.586 * * * * [progress]: [ 495 / 508 ] simplifiying candidate #<alt (λ (i n) (posit16->real (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
5.587 * * * * [progress]: [ 496 / 508 ] simplifiying candidate #<alt (λ (i n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100))>
5.587 * * * * [progress]: [ 497 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 0))>
5.587 * * * * [progress]: [ 498 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
5.587 * * * * [progress]: [ 499 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
5.587 * * * * [progress]: [ 500 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (+ i (+ (* 1/2 (pow i 2)) 1)) 1) (/ i n))))>
5.587 * * * * [progress]: [ 501 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (/ i n))))>
5.587 * * * * [progress]: [ 502 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) (/ i n))))>
5.587 * * * * [progress]: [ 503 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) (/ i n))))>
5.587 * * * * [progress]: [ 504 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (/ i n))))>
5.587 * * * * [progress]: [ 505 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) (/ i n))))>
5.587 * * * * [progress]: [ 506 / 508 ] simplifiying candidate #<alt (λ (i n) 0)>
5.587 * * * * [progress]: [ 507 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
5.587 * * * * [progress]: [ 508 / 508 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
5.596 * [simplify]: Simplifying:
  (expm1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log1p (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (- (log (- (pow (+ 1 (/ i n)) n) 1)) (- (log i) (log n)))
  (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n)))
  (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (exp (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ i n) (/ i n)) (/ i n)))
  (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (- (- (pow (+ 1 (/ i n)) n) 1))
  (- (/ i n))
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 (/ i n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) 1))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (sqrt n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 1))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1)
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i)
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1)
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i)
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (cbrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))
  (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))
  (/ 1 (/ (sqrt i) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))
  (/ 1 (/ (sqrt i) 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n))
  (/ 1 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))
  (/ 1 (/ 1 (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))
  (/ 1 (/ 1 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  (/ 1 1)
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  (/ 1 i)
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (cbrt (/ i n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (cbrt i) n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) 1)
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ i n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) i)
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (cbrt i) n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (cbrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (sqrt n)))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i (sqrt n)))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 1))
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1)
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))
  (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)
  (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (cbrt (/ i n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (cbrt i) n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) 1)
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ i n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) i)
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (cbrt i) n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (cbrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (sqrt n)))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i (sqrt n)))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 1))
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1)
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))
  (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)
  (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (cbrt (/ i n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (sqrt (/ i n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (cbrt i) (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (cbrt i) (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (cbrt i) n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ i (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ i (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ i n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) 1)
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ i n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) i)
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (cbrt (/ i n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (cbrt i) n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i (cbrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i (sqrt n)))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 1))
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 1)
  (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i n))
  (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) i)
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  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1)))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1)))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i))
  (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ 1 (sqrt (/ i n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (sqrt i) (sqrt n))))
  (* 100 (/ 1 (/ (sqrt i) 1)))
  (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ 1 (sqrt n))))
  (* 100 (/ 1 (/ 1 1)))
  (* 100 (/ 1 1))
  (* 100 (/ 1 i))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (/ 1 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) 1))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) i))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (sqrt (/ i n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ (sqrt i) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (/ 1 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) 1))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) i))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) 1))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) i))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 1))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) i))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 1)))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1))
  (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 1)))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1))
  (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt (/ i n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (sqrt i) 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 (sqrt n))))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 1)))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 1))
  (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) i))
  (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ 1 (sqrt (/ i n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (sqrt i) (sqrt n))))
  (* 100 (/ 1 (/ (sqrt i) 1)))
  (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ 1 (sqrt n))))
  (* 100 (/ 1 (/ 1 1)))
  (* 100 (/ 1 1))
  (* 100 (/ 1 i))
  (* 100 1)
  (* 100 (- (pow (+ 1 (/ i n)) n) 1))
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i))
  (* (cbrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* (sqrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* 100 (- (pow (+ 1 (/ i n)) n) 1))
  (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  0
  (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
  (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
  (+ i (+ (* 1/2 (pow i 2)) 1))
  (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
  (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
  (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))))
  (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)
  (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)
  0
  (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
  (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
5.607 * * [simplify]: iteration 0: 583 enodes
6.126 * * [simplify]: iteration 1: 1844 enodes
6.774 * * [simplify]: iteration complete: 5001 enodes
6.775 * * [simplify]: Extracting #0: cost 325 inf + 0
6.780 * * [simplify]: Extracting #1: cost 1687 inf + 128
6.796 * * [simplify]: Extracting #2: cost 1942 inf + 45493
6.872 * * [simplify]: Extracting #3: cost 931 inf + 425717
6.962 * * [simplify]: Extracting #4: cost 315 inf + 678886
7.085 * * [simplify]: Extracting #5: cost 117 inf + 765335
7.204 * * [simplify]: Extracting #6: cost 11 inf + 816836
7.327 * * [simplify]: Extracting #7: cost 0 inf + 822714
7.484 * [simplify]: Simplified to:
  (expm1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log1p (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (exp (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (- (- (pow (+ 1 (/ i n)) n) 1))
  (/ (- i) n)
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 (/ i n))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt i)) (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt i)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt i))
  (* (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i))) (sqrt n))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (sqrt n))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) n) (cbrt i))
  (* (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt i)) (cbrt n)) (cbrt n))
  (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (sqrt i))
  (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt i)) (sqrt n))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i)) (sqrt n))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt (- (pow (+ 1 (/ i n)) n) 1))))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) n))
  (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt n) (cbrt n)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))
  (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt n))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))
  (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))
  (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) i) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))
  (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) n)
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (sqrt n))
  (/ (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (cbrt i))
  (/ (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) n) (cbrt i))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (cbrt n)))
  (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i)) (sqrt n))
  (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i)) (sqrt n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i))
  (/ (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) n) (sqrt i))
  (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt n) (cbrt n)))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (cbrt n)))
  (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i (sqrt n)))
  (sqrt (- (pow (+ 1 (/ i n)) n) 1))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (sqrt (- (pow (+ 1 (/ i n)) n) 1))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))
  (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i)
  (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))
  (/ (/ 1 (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) (cbrt n)) (cbrt i))
  (/ 1 (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) (sqrt n)) (cbrt i))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))
  (/ 1 (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) (cbrt n)) (sqrt i))
  (/ (* 1 (sqrt n)) (sqrt i))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt i)) (sqrt n))
  (/ 1 (sqrt i))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) (sqrt i))
  (* (cbrt n) (cbrt n))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (cbrt n))
  (sqrt n)
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) (sqrt n))
  1
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  1
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
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  (pow (+ 1 (/ i n)) (/ n 2))
  (pow (+ 1 (/ i n)) (/ n 2))
  (real->posit16 (pow (+ 1 (/ i n)) n))
  (fma (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (pow (cbrt (+ 1 (/ i n))) n) -1)
  0
  (fma (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (pow (cbrt (+ 1 (/ i n))) n) -1)
  0
  (fma (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (pow (cbrt (+ 1 (/ i n))) n) -1)
  0
  (fma (pow (sqrt (+ 1 (/ i n))) n) (pow (sqrt (+ 1 (/ i n))) n) -1)
  0
  (fma (pow (sqrt (+ 1 (/ i n))) n) (pow (sqrt (+ 1 (/ i n))) n) -1)
  0
  (fma (pow (sqrt (+ 1 (/ i n))) n) (pow (sqrt (+ 1 (/ i n))) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (fma (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (cbrt (pow (+ 1 (/ i n)) n)) -1)
  0
  (fma (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (cbrt (pow (+ 1 (/ i n)) n)) -1)
  0
  (fma (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (cbrt (pow (+ 1 (/ i n)) n)) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (+ (pow (+ 1 (/ i n)) n) -1)
  0
  (fma (pow (+ 1 (/ i n)) (/ n 2)) (pow (+ 1 (/ i n)) (/ n 2)) -1)
  0
  (fma (pow (+ 1 (/ i n)) (/ n 2)) (pow (+ 1 (/ i n)) (/ n 2)) -1)
  0
  (fma (pow (+ 1 (/ i n)) (/ n 2)) (pow (+ 1 (/ i n)) (/ n 2)) -1)
  0
  (expm1 (- (pow (+ 1 (/ i n)) n) 1))
  (log1p (- (pow (+ 1 (/ i n)) n) 1))
  -1
  -1
  -1
  -1
  -1
  -1
  -1
  -1
  (exp (- (pow (+ 1 (/ i n)) n) 1))
  (log (- (pow (+ 1 (/ i n)) n) 1))
  (exp (- (pow (+ 1 (/ i n)) n) 1))
  (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))
  (cbrt (- (pow (+ 1 (/ i n)) n) 1))
  (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1))
  (sqrt (- (pow (+ 1 (/ i n)) n) 1))
  (sqrt (- (pow (+ 1 (/ i n)) n) 1))
  (fma (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (pow (+ 1 (/ i n)) n) -1)
  (+ (fma (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n))
  -1
  (fma (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n) -1)
  (+ 1 (pow (+ 1 (/ i n)) n))
  (+ (pow (sqrt (+ 1 (/ i n))) n) 1)
  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ (pow (sqrt (+ 1 (/ i n))) n) 1)
  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))
  (- (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))
  (- (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (- (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (- (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (+ (pow (sqrt (+ 1 (/ i n))) n) 1)
  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))
  (- (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (- (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (- (pow (+ 1 (/ i n)) n) 1)
  -1
  (real->posit16 (- (pow (+ 1 (/ i n)) n) 1))
  (expm1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (log1p (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (log (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (log (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (log (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (log (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (exp (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) 1000000) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (* 1000000 (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* 1000000 (* (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))
  (cbrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))
  (sqrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (sqrt (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* 10 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* 10 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (/ (* 10 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))
  (/ (* 10 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))
  (/ (* 10 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n)))
  (/ (* 10 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n)))
  (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100))
  (* 100 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) 100))
  (/ 100 (/ (sqrt (/ i n)) (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))))
  (* (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt i)) (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt i))) 100)
  (* (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i))) (* (sqrt n) 100))
  (* 100 (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i))))
  (/ (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 100) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (* (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt i)) (sqrt n)) 100)
  (/ (* 100 (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (cbrt (- (pow (+ 1 (/ i n)) n) 1))))
  (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (* (cbrt n) (cbrt n)) 100))
  (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (sqrt n) 100))
  (* 100 (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))))
  (* 100 (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))))
  (/ (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 100) i)
  (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))))
  (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt i) (cbrt i)))
  (/ (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 100) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i)) (* (sqrt n) 100))
  (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt i))
  (* (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt n) (cbrt n)))
  (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (sqrt n) 100))
  (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1)))
  (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1)))
  (/ (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 100) i)
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 100 (sqrt (/ i n)))
  (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ 100 (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ 100 (* (cbrt i) (cbrt i)))
  (* (/ 100 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ 100 (/ (sqrt i) (sqrt n)))
  (/ 100 (sqrt i))
  (* (* 100 (cbrt n)) (cbrt n))
  (* (sqrt n) 100)
  100
  100
  (/ 100 i)
  (/ 100 (/ (* (cbrt (/ i n)) (cbrt (/ i n))) (+ (pow (sqrt (+ 1 (/ i n))) n) 1)))
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) 100)
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) 100)
  (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (* (/ 100 (cbrt i)) (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt i)))
  (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (cbrt n) (cbrt n))))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt i))
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n))) 100)
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100)
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i)
  (/ 100 (/ (* (cbrt (/ i n)) (cbrt (/ i n))) (+ (pow (sqrt (+ 1 (/ i n))) n) 1)))
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) 100)
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) 100)
  (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (* (/ 100 (cbrt i)) (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt i)))
  (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (cbrt n) (cbrt n))))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt i))
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n))) 100)
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100)
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i)
  (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n))))
  (/ 100 (/ (sqrt (/ i n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (cbrt i) (cbrt i)))
  (/ 100 (/ (/ (/ (sqrt i) (cbrt n)) (cbrt n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (* (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i)) (sqrt n))
  (/ 100 (/ (sqrt i) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (* (cbrt n) (cbrt n)) 100))
  (* (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n)) 100)
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (/ 100 (/ i (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n))))
  (/ 100 (/ (sqrt (/ i n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (cbrt i) (cbrt i)))
  (/ 100 (/ (/ (/ (sqrt i) (cbrt n)) (cbrt n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (* (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i)) (sqrt n))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i))
  (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (* (cbrt n) (cbrt n)) 100))
  (* (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n)) 100)
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (/ 100 (/ i (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n)))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt i) (cbrt i)))
  (* (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (cbrt n))) (cbrt n))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n)))
  (/ 100 (/ (sqrt i) (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n))))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n)))
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) i)
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n)))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i)))
  (* (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (cbrt n))) (cbrt n))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt i))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n))))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n)))
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) i)
  (/ 100 (/ (* (cbrt (/ i n)) (cbrt (/ i n))) (+ (pow (sqrt (+ 1 (/ i n))) n) 1)))
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) 100)
  (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) 100)
  (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (* (/ 100 (cbrt i)) (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt i)))
  (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (cbrt n) (cbrt n))))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt i))
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n))) 100)
  (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100)
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1))
  (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i)
  (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n))))
  (/ 100 (/ (sqrt (/ i n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (cbrt i) (cbrt i)))
  (/ 100 (/ (/ (/ (sqrt i) (cbrt n)) (cbrt n)) (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (* (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i)) (sqrt n))
  (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i))
  (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (* (cbrt n) (cbrt n)) 100))
  (* (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n)) 100)
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n))))
  (/ 100 (/ i (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n)))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i)))
  (* (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (cbrt n))) (cbrt n))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt i))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n))))
  (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n)))
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) i)
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 100 (sqrt (/ i n)))
  (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ 100 (/ (cbrt i) (/ (sqrt n) (cbrt i))))
  (/ 100 (* (cbrt i) (cbrt i)))
  (* (/ 100 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ 100 (/ (sqrt i) (sqrt n)))
  (/ 100 (sqrt i))
  (* (* 100 (cbrt n)) (cbrt n))
  (* (sqrt n) 100)
  100
  100
  (/ 100 i)
  100
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) i) 100)
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (cbrt 100))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 10)
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  0
  (/ (* (expm1 (* (+ (- (log n)) (log i)) n)) n) i)
  (* (/ n i) (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)))
  (+ i (fma (* i i) 1/2 1))
  (exp (* (+ (- (log n)) (log i)) n))
  (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n))
  (+ (fma 1/2 (* i i) (* (* 1/6 (* i i)) i)) i)
  (expm1 (* (+ (- (log n)) (log i)) n))
  (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n))
  0
  (* (/ (* (expm1 (* (+ (- (log n)) (log i)) n)) n) i) 100)
  (/ (* (* n (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n))) 100) i)
7.546 * * * [progress]: adding candidates to table
9.676 * * [progress]: iteration 2 / 4
9.676 * * * [progress]: picking best candidate
9.716 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))>
9.716 * * * [progress]: localizing error
9.751 * * * [progress]: generating rewritten candidates
9.751 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
9.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1)
9.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
9.797 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
9.845 * * * [progress]: generating series expansions
9.845 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
9.846 * [backup-simplify]: Simplify (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) into (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i)
9.846 * [approximate]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in (i n) around 0
9.846 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in n
9.846 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in n
9.846 * [taylor]: Taking taylor expansion of n in n
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [backup-simplify]: Simplify 1 into 1
9.846 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in n
9.846 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
9.846 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in n
9.846 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in n
9.846 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
9.846 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
9.846 * [taylor]: Taking taylor expansion of (/ i n) in n
9.846 * [taylor]: Taking taylor expansion of i in n
9.846 * [backup-simplify]: Simplify i into i
9.846 * [taylor]: Taking taylor expansion of n in n
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [backup-simplify]: Simplify 1 into 1
9.847 * [backup-simplify]: Simplify (/ i 1) into i
9.847 * [taylor]: Taking taylor expansion of 1 in n
9.847 * [backup-simplify]: Simplify 1 into 1
9.847 * [backup-simplify]: Simplify (+ i 0) into i
9.847 * [backup-simplify]: Simplify (log i) into (log i)
9.847 * [taylor]: Taking taylor expansion of n in n
9.847 * [backup-simplify]: Simplify 0 into 0
9.847 * [backup-simplify]: Simplify 1 into 1
9.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
9.848 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
9.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
9.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
9.850 * [backup-simplify]: Simplify (+ 0 1) into 1
9.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
9.851 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
9.851 * [backup-simplify]: Simplify (exp 0) into 1
9.851 * [taylor]: Taking taylor expansion of 1 in n
9.851 * [backup-simplify]: Simplify 1 into 1
9.851 * [taylor]: Taking taylor expansion of i in n
9.851 * [backup-simplify]: Simplify i into i
9.851 * [backup-simplify]: Simplify (- 1) into -1
9.852 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.852 * [backup-simplify]: Simplify (* 0 0) into 0
9.852 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
9.853 * [backup-simplify]: Simplify (- 0) into 0
9.853 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
9.853 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 0)) into 0
9.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
9.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.856 * [backup-simplify]: Simplify (+ 0 0) into 0
9.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
9.858 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i)
9.858 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
9.859 * [backup-simplify]: Simplify (- 0) into 0
9.860 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
9.861 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 1 (- (log i) (log n))) (* 0 0))) into (- (log i) (log n))
9.861 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
9.861 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in i
9.861 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in i
9.861 * [taylor]: Taking taylor expansion of n in i
9.861 * [backup-simplify]: Simplify n into n
9.861 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in i
9.861 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
9.861 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in i
9.861 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
9.861 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
9.861 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
9.861 * [taylor]: Taking taylor expansion of (/ i n) in i
9.861 * [taylor]: Taking taylor expansion of i in i
9.862 * [backup-simplify]: Simplify 0 into 0
9.862 * [backup-simplify]: Simplify 1 into 1
9.862 * [taylor]: Taking taylor expansion of n in i
9.862 * [backup-simplify]: Simplify n into n
9.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
9.862 * [taylor]: Taking taylor expansion of 1 in i
9.862 * [backup-simplify]: Simplify 1 into 1
9.862 * [backup-simplify]: Simplify (+ 0 1) into 1
9.863 * [backup-simplify]: Simplify (log 1) into 0
9.863 * [taylor]: Taking taylor expansion of n in i
9.863 * [backup-simplify]: Simplify n into n
9.863 * [backup-simplify]: Simplify (* 0 n) into 0
9.863 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
9.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
9.864 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
9.864 * [backup-simplify]: Simplify (exp 0) into 1
9.864 * [taylor]: Taking taylor expansion of 1 in i
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [taylor]: Taking taylor expansion of i in i
9.864 * [backup-simplify]: Simplify 0 into 0
9.864 * [backup-simplify]: Simplify 1 into 1
9.865 * [backup-simplify]: Simplify (- 1) into -1
9.865 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.865 * [backup-simplify]: Simplify (* n 0) into 0
9.866 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.867 * [backup-simplify]: Simplify (- 0) into 0
9.867 * [backup-simplify]: Simplify (+ 1 0) into 1
9.867 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n
9.867 * [backup-simplify]: Simplify (/ n 1) into n
9.867 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in i
9.867 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in i
9.867 * [taylor]: Taking taylor expansion of n in i
9.867 * [backup-simplify]: Simplify n into n
9.867 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in i
9.867 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
9.867 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in i
9.867 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
9.867 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
9.867 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
9.867 * [taylor]: Taking taylor expansion of (/ i n) in i
9.867 * [taylor]: Taking taylor expansion of i in i
9.867 * [backup-simplify]: Simplify 0 into 0
9.867 * [backup-simplify]: Simplify 1 into 1
9.867 * [taylor]: Taking taylor expansion of n in i
9.868 * [backup-simplify]: Simplify n into n
9.868 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
9.868 * [taylor]: Taking taylor expansion of 1 in i
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [backup-simplify]: Simplify (+ 0 1) into 1
9.868 * [backup-simplify]: Simplify (log 1) into 0
9.868 * [taylor]: Taking taylor expansion of n in i
9.868 * [backup-simplify]: Simplify n into n
9.868 * [backup-simplify]: Simplify (* 0 n) into 0
9.868 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
9.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
9.869 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
9.869 * [backup-simplify]: Simplify (exp 0) into 1
9.869 * [taylor]: Taking taylor expansion of 1 in i
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [taylor]: Taking taylor expansion of i in i
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [backup-simplify]: Simplify (- 1) into -1
9.870 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.870 * [backup-simplify]: Simplify (* n 0) into 0
9.870 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.870 * [backup-simplify]: Simplify (- 0) into 0
9.871 * [backup-simplify]: Simplify (+ 1 0) into 1
9.871 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n
9.871 * [backup-simplify]: Simplify (/ n 1) into n
9.871 * [taylor]: Taking taylor expansion of n in n
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify 1 into 1
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
9.872 * [backup-simplify]: Simplify (+ 0 0) into 0
9.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
9.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
9.874 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
9.874 * [backup-simplify]: Simplify (- 0) into 0
9.874 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
9.874 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0))) into (- (* 1/2 n) 1/2)
9.875 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
9.875 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
9.875 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
9.875 * [taylor]: Taking taylor expansion of 1/2 in n
9.875 * [backup-simplify]: Simplify 1/2 into 1/2
9.875 * [taylor]: Taking taylor expansion of n in n
9.875 * [backup-simplify]: Simplify 0 into 0
9.875 * [backup-simplify]: Simplify 1 into 1
9.875 * [taylor]: Taking taylor expansion of 1/2 in n
9.875 * [backup-simplify]: Simplify 1/2 into 1/2
9.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
9.876 * [backup-simplify]: Simplify (- 0) into 0
9.876 * [backup-simplify]: Simplify (+ 0 0) into 0
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
9.876 * [backup-simplify]: Simplify (+ 0 0) into 0
9.878 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
9.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
9.880 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
9.880 * [backup-simplify]: Simplify (- 0) into 0
9.880 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
9.881 * [backup-simplify]: Simplify (+ (* n (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))) (+ (* 0 (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
9.882 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
9.882 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n
9.882 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n
9.882 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
9.882 * [taylor]: Taking taylor expansion of 1/6 in n
9.882 * [backup-simplify]: Simplify 1/6 into 1/6
9.882 * [taylor]: Taking taylor expansion of n in n
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 1 into 1
9.882 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n
9.882 * [taylor]: Taking taylor expansion of 1/3 in n
9.882 * [backup-simplify]: Simplify 1/3 into 1/3
9.882 * [taylor]: Taking taylor expansion of (/ 1 n) in n
9.882 * [taylor]: Taking taylor expansion of n in n
9.882 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify 1 into 1
9.882 * [backup-simplify]: Simplify (/ 1 1) into 1
9.882 * [taylor]: Taking taylor expansion of 1/2 in n
9.882 * [backup-simplify]: Simplify 1/2 into 1/2
9.883 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
9.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.885 * [backup-simplify]: Simplify (+ 0 0) into 0
9.886 * [backup-simplify]: Simplify (- 0) into 0
9.886 * [backup-simplify]: Simplify (+ 0 0) into 0
9.886 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.887 * [backup-simplify]: Simplify (- 0) into 0
9.887 * [backup-simplify]: Simplify (+ 0 0) into 0
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify (/ (expm1 (* (log (+ 1 (/ (/ 1 i) (/ 1 n)))) (/ 1 n))) (/ (/ 1 i) (/ 1 n))) into (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n)
9.887 * [approximate]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in (i n) around 0
9.887 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in n
9.887 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in n
9.887 * [taylor]: Taking taylor expansion of i in n
9.887 * [backup-simplify]: Simplify i into i
9.888 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in n
9.888 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
9.888 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in n
9.888 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
9.888 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
9.888 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
9.888 * [taylor]: Taking taylor expansion of (/ n i) in n
9.888 * [taylor]: Taking taylor expansion of n in n
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify 1 into 1
9.888 * [taylor]: Taking taylor expansion of i in n
9.888 * [backup-simplify]: Simplify i into i
9.888 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.888 * [taylor]: Taking taylor expansion of 1 in n
9.888 * [backup-simplify]: Simplify 1 into 1
9.888 * [backup-simplify]: Simplify (+ 0 1) into 1
9.888 * [backup-simplify]: Simplify (log 1) into 0
9.888 * [taylor]: Taking taylor expansion of n in n
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify 1 into 1
9.888 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
9.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
9.889 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
9.889 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
9.889 * [taylor]: Taking taylor expansion of 1 in n
9.889 * [backup-simplify]: Simplify 1 into 1
9.889 * [taylor]: Taking taylor expansion of n in n
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify 1 into 1
9.889 * [backup-simplify]: Simplify (- 1) into -1
9.889 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
9.889 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
9.890 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
9.890 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in i
9.890 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in i
9.890 * [taylor]: Taking taylor expansion of i in i
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 1 into 1
9.890 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in i
9.890 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
9.890 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in i
9.890 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
9.890 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
9.890 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
9.890 * [taylor]: Taking taylor expansion of (/ n i) in i
9.890 * [taylor]: Taking taylor expansion of n in i
9.890 * [backup-simplify]: Simplify n into n
9.890 * [taylor]: Taking taylor expansion of i in i
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify 1 into 1
9.890 * [backup-simplify]: Simplify (/ n 1) into n
9.890 * [taylor]: Taking taylor expansion of 1 in i
9.890 * [backup-simplify]: Simplify 1 into 1
9.890 * [backup-simplify]: Simplify (+ n 0) into n
9.890 * [backup-simplify]: Simplify (log n) into (log n)
9.890 * [taylor]: Taking taylor expansion of n in i
9.890 * [backup-simplify]: Simplify n into n
9.890 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
9.891 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
9.891 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
9.891 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.891 * [taylor]: Taking taylor expansion of 1 in i
9.891 * [backup-simplify]: Simplify 1 into 1
9.891 * [taylor]: Taking taylor expansion of n in i
9.891 * [backup-simplify]: Simplify n into n
9.891 * [backup-simplify]: Simplify (- 1) into -1
9.891 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.891 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
9.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
9.892 * [backup-simplify]: Simplify (+ 0 1) into 1
9.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
9.893 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
9.893 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
9.893 * [backup-simplify]: Simplify (- 0) into 0
9.894 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
9.894 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.894 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
9.894 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in i
9.894 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in i
9.894 * [taylor]: Taking taylor expansion of i in i
9.894 * [backup-simplify]: Simplify 0 into 0
9.894 * [backup-simplify]: Simplify 1 into 1
9.894 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in i
9.894 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
9.894 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in i
9.894 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
9.894 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
9.894 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
9.894 * [taylor]: Taking taylor expansion of (/ n i) in i
9.894 * [taylor]: Taking taylor expansion of n in i
9.894 * [backup-simplify]: Simplify n into n
9.894 * [taylor]: Taking taylor expansion of i in i
9.894 * [backup-simplify]: Simplify 0 into 0
9.894 * [backup-simplify]: Simplify 1 into 1
9.894 * [backup-simplify]: Simplify (/ n 1) into n
9.894 * [taylor]: Taking taylor expansion of 1 in i
9.894 * [backup-simplify]: Simplify 1 into 1
9.894 * [backup-simplify]: Simplify (+ n 0) into n
9.894 * [backup-simplify]: Simplify (log n) into (log n)
9.894 * [taylor]: Taking taylor expansion of n in i
9.894 * [backup-simplify]: Simplify n into n
9.895 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
9.895 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
9.895 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
9.895 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.895 * [taylor]: Taking taylor expansion of 1 in i
9.895 * [backup-simplify]: Simplify 1 into 1
9.895 * [taylor]: Taking taylor expansion of n in i
9.895 * [backup-simplify]: Simplify n into n
9.895 * [backup-simplify]: Simplify (- 1) into -1
9.896 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.896 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
9.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
9.896 * [backup-simplify]: Simplify (+ 0 1) into 1
9.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
9.897 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
9.897 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
9.898 * [backup-simplify]: Simplify (- 0) into 0
9.898 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
9.898 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.898 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
9.898 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
9.898 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
9.898 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.898 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.898 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.898 * [taylor]: Taking taylor expansion of (log n) in n
9.898 * [taylor]: Taking taylor expansion of n in n
9.898 * [backup-simplify]: Simplify 0 into 0
9.898 * [backup-simplify]: Simplify 1 into 1
9.899 * [backup-simplify]: Simplify (log 1) into 0
9.899 * [taylor]: Taking taylor expansion of (log i) in n
9.899 * [taylor]: Taking taylor expansion of i in n
9.899 * [backup-simplify]: Simplify i into i
9.899 * [backup-simplify]: Simplify (log i) into (log i)
9.899 * [taylor]: Taking taylor expansion of n in n
9.899 * [backup-simplify]: Simplify 0 into 0
9.899 * [backup-simplify]: Simplify 1 into 1
9.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.899 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.899 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.899 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.899 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.899 * [taylor]: Taking taylor expansion of 1 in n
9.899 * [backup-simplify]: Simplify 1 into 1
9.899 * [taylor]: Taking taylor expansion of n in n
9.899 * [backup-simplify]: Simplify 0 into 0
9.899 * [backup-simplify]: Simplify 1 into 1
9.900 * [backup-simplify]: Simplify (- 1) into -1
9.900 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.900 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.900 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
9.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.901 * [backup-simplify]: Simplify (+ 0 0) into 0
9.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
9.903 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
9.903 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
9.904 * [backup-simplify]: Simplify (- 0) into 0
9.904 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
9.905 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
9.905 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
9.905 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
9.905 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.905 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.905 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.906 * [taylor]: Taking taylor expansion of (log n) in n
9.906 * [taylor]: Taking taylor expansion of n in n
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify (log 1) into 0
9.906 * [taylor]: Taking taylor expansion of (log i) in n
9.906 * [taylor]: Taking taylor expansion of i in n
9.906 * [backup-simplify]: Simplify i into i
9.906 * [backup-simplify]: Simplify (log i) into (log i)
9.906 * [taylor]: Taking taylor expansion of n in n
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 1 into 1
9.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.907 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.907 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.907 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.907 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.907 * [taylor]: Taking taylor expansion of (pow n 3) in n
9.907 * [taylor]: Taking taylor expansion of n in n
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 1 into 1
9.907 * [backup-simplify]: Simplify (* 1 1) into 1
9.908 * [backup-simplify]: Simplify (* 1 1) into 1
9.908 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.913 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify (- 0) into 0
9.914 * [backup-simplify]: Simplify (+ 0 0) into 0
9.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
9.915 * [backup-simplify]: Simplify 0 into 0
9.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.917 * [backup-simplify]: Simplify (+ 0 0) into 0
9.919 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
9.920 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
9.920 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
9.921 * [backup-simplify]: Simplify (- 0) into 0
9.921 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
9.922 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
9.923 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
9.923 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
9.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
9.923 * [taylor]: Taking taylor expansion of 1/2 in n
9.923 * [backup-simplify]: Simplify 1/2 into 1/2
9.923 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
9.923 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.923 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.923 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.923 * [taylor]: Taking taylor expansion of (log n) in n
9.923 * [taylor]: Taking taylor expansion of n in n
9.923 * [backup-simplify]: Simplify 0 into 0
9.923 * [backup-simplify]: Simplify 1 into 1
9.927 * [backup-simplify]: Simplify (log 1) into 0
9.928 * [taylor]: Taking taylor expansion of (log i) in n
9.928 * [taylor]: Taking taylor expansion of i in n
9.928 * [backup-simplify]: Simplify i into i
9.928 * [backup-simplify]: Simplify (log i) into (log i)
9.928 * [taylor]: Taking taylor expansion of n in n
9.928 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 1 into 1
9.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.928 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.928 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.928 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.928 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.928 * [taylor]: Taking taylor expansion of (pow n 5) in n
9.928 * [taylor]: Taking taylor expansion of n in n
9.928 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 1 into 1
9.929 * [backup-simplify]: Simplify (* 1 1) into 1
9.929 * [backup-simplify]: Simplify (* 1 1) into 1
9.929 * [backup-simplify]: Simplify (* 1 1) into 1
9.929 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
9.929 * [taylor]: Taking taylor expansion of 1/2 in n
9.929 * [backup-simplify]: Simplify 1/2 into 1/2
9.929 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
9.929 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.929 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.929 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.929 * [taylor]: Taking taylor expansion of (log n) in n
9.929 * [taylor]: Taking taylor expansion of n in n
9.930 * [backup-simplify]: Simplify 0 into 0
9.930 * [backup-simplify]: Simplify 1 into 1
9.930 * [backup-simplify]: Simplify (log 1) into 0
9.930 * [taylor]: Taking taylor expansion of (log i) in n
9.930 * [taylor]: Taking taylor expansion of i in n
9.930 * [backup-simplify]: Simplify i into i
9.930 * [backup-simplify]: Simplify (log i) into (log i)
9.930 * [taylor]: Taking taylor expansion of n in n
9.930 * [backup-simplify]: Simplify 0 into 0
9.930 * [backup-simplify]: Simplify 1 into 1
9.930 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.930 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.930 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.930 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.930 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.930 * [taylor]: Taking taylor expansion of (pow n 4) in n
9.930 * [taylor]: Taking taylor expansion of n in n
9.931 * [backup-simplify]: Simplify 0 into 0
9.931 * [backup-simplify]: Simplify 1 into 1
9.931 * [backup-simplify]: Simplify (* 1 1) into 1
9.931 * [backup-simplify]: Simplify (* 1 1) into 1
9.931 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
9.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
9.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
9.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
9.950 * [backup-simplify]: Simplify (- 0) into 0
9.951 * [backup-simplify]: Simplify (+ 0 0) into 0
9.951 * [backup-simplify]: Simplify 0 into 0
9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.953 * [backup-simplify]: Simplify 0 into 0
9.953 * [backup-simplify]: Simplify (- 0) into 0
9.954 * [backup-simplify]: Simplify (+ 0 0) into 0
9.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.955 * [backup-simplify]: Simplify 0 into 0
9.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.956 * [backup-simplify]: Simplify (+ 0 0) into 0
9.959 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
9.960 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
9.961 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
9.961 * [backup-simplify]: Simplify (- 0) into 0
9.962 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
9.964 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
9.965 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
9.965 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
9.965 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
9.965 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
9.965 * [taylor]: Taking taylor expansion of 1/6 in n
9.965 * [backup-simplify]: Simplify 1/6 into 1/6
9.965 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
9.965 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.965 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.965 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.965 * [taylor]: Taking taylor expansion of (log n) in n
9.965 * [taylor]: Taking taylor expansion of n in n
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify 1 into 1
9.965 * [backup-simplify]: Simplify (log 1) into 0
9.965 * [taylor]: Taking taylor expansion of (log i) in n
9.965 * [taylor]: Taking taylor expansion of i in n
9.965 * [backup-simplify]: Simplify i into i
9.966 * [backup-simplify]: Simplify (log i) into (log i)
9.966 * [taylor]: Taking taylor expansion of n in n
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify 1 into 1
9.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.966 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.966 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.966 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.966 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.966 * [taylor]: Taking taylor expansion of (pow n 7) in n
9.966 * [taylor]: Taking taylor expansion of n in n
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify 1 into 1
9.967 * [backup-simplify]: Simplify (* 1 1) into 1
9.967 * [backup-simplify]: Simplify (* 1 1) into 1
9.967 * [backup-simplify]: Simplify (* 1 1) into 1
9.967 * [backup-simplify]: Simplify (* 1 1) into 1
9.967 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.967 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
9.968 * [taylor]: Taking taylor expansion of 1/3 in n
9.968 * [backup-simplify]: Simplify 1/3 into 1/3
9.968 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
9.968 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.968 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.968 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.968 * [taylor]: Taking taylor expansion of (log n) in n
9.968 * [taylor]: Taking taylor expansion of n in n
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 1 into 1
9.968 * [backup-simplify]: Simplify (log 1) into 0
9.968 * [taylor]: Taking taylor expansion of (log i) in n
9.968 * [taylor]: Taking taylor expansion of i in n
9.968 * [backup-simplify]: Simplify i into i
9.968 * [backup-simplify]: Simplify (log i) into (log i)
9.968 * [taylor]: Taking taylor expansion of n in n
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 1 into 1
9.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.968 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.968 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.969 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.969 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.969 * [taylor]: Taking taylor expansion of (pow n 5) in n
9.969 * [taylor]: Taking taylor expansion of n in n
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify 1 into 1
9.969 * [backup-simplify]: Simplify (* 1 1) into 1
9.970 * [backup-simplify]: Simplify (* 1 1) into 1
9.970 * [backup-simplify]: Simplify (* 1 1) into 1
9.970 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
9.970 * [taylor]: Taking taylor expansion of 1/2 in n
9.970 * [backup-simplify]: Simplify 1/2 into 1/2
9.970 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
9.970 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
9.970 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
9.970 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
9.970 * [taylor]: Taking taylor expansion of (log n) in n
9.970 * [taylor]: Taking taylor expansion of n in n
9.970 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify 1 into 1
9.970 * [backup-simplify]: Simplify (log 1) into 0
9.970 * [taylor]: Taking taylor expansion of (log i) in n
9.970 * [taylor]: Taking taylor expansion of i in n
9.970 * [backup-simplify]: Simplify i into i
9.971 * [backup-simplify]: Simplify (log i) into (log i)
9.971 * [taylor]: Taking taylor expansion of n in n
9.971 * [backup-simplify]: Simplify 0 into 0
9.971 * [backup-simplify]: Simplify 1 into 1
9.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
9.971 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
9.971 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
9.971 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
9.971 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
9.971 * [taylor]: Taking taylor expansion of (pow n 6) in n
9.971 * [taylor]: Taking taylor expansion of n in n
9.971 * [backup-simplify]: Simplify 0 into 0
9.971 * [backup-simplify]: Simplify 1 into 1
9.972 * [backup-simplify]: Simplify (* 1 1) into 1
9.972 * [backup-simplify]: Simplify (* 1 1) into 1
9.972 * [backup-simplify]: Simplify (* 1 1) into 1
9.972 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
9.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.999 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
10.012 * [backup-simplify]: Simplify (+ 0 0) into 0
10.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
10.034 * [backup-simplify]: Simplify (- 0) into 0
10.034 * [backup-simplify]: Simplify (+ 0 0) into 0
10.034 * [backup-simplify]: Simplify 0 into 0
10.034 * [backup-simplify]: Simplify (* (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
10.035 * [backup-simplify]: Simplify (/ (expm1 (* (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) (/ 1 (- n)))) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n)
10.035 * [approximate]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in (i n) around 0
10.035 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in n
10.035 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in n
10.035 * [taylor]: Taking taylor expansion of i in n
10.035 * [backup-simplify]: Simplify i into i
10.035 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in n
10.035 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.035 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in n
10.035 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in n
10.035 * [taylor]: Taking taylor expansion of -1 in n
10.035 * [backup-simplify]: Simplify -1 into -1
10.035 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
10.035 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.035 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.035 * [taylor]: Taking taylor expansion of (/ n i) in n
10.035 * [taylor]: Taking taylor expansion of n in n
10.035 * [backup-simplify]: Simplify 0 into 0
10.035 * [backup-simplify]: Simplify 1 into 1
10.035 * [taylor]: Taking taylor expansion of i in n
10.035 * [backup-simplify]: Simplify i into i
10.035 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.035 * [taylor]: Taking taylor expansion of 1 in n
10.035 * [backup-simplify]: Simplify 1 into 1
10.035 * [backup-simplify]: Simplify (+ 0 1) into 1
10.036 * [backup-simplify]: Simplify (log 1) into 0
10.036 * [taylor]: Taking taylor expansion of n in n
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify 1 into 1
10.036 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
10.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
10.036 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
10.036 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
10.036 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
10.036 * [taylor]: Taking taylor expansion of 1 in n
10.036 * [backup-simplify]: Simplify 1 into 1
10.036 * [taylor]: Taking taylor expansion of n in n
10.036 * [backup-simplify]: Simplify 0 into 0
10.036 * [backup-simplify]: Simplify 1 into 1
10.037 * [backup-simplify]: Simplify (- 1) into -1
10.037 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1)
10.037 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1))
10.037 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1))
10.037 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in i
10.037 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in i
10.037 * [taylor]: Taking taylor expansion of i in i
10.037 * [backup-simplify]: Simplify 0 into 0
10.037 * [backup-simplify]: Simplify 1 into 1
10.037 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.037 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.037 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.037 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.037 * [taylor]: Taking taylor expansion of -1 in i
10.037 * [backup-simplify]: Simplify -1 into -1
10.037 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.037 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.037 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.037 * [taylor]: Taking taylor expansion of (/ n i) in i
10.037 * [taylor]: Taking taylor expansion of n in i
10.037 * [backup-simplify]: Simplify n into n
10.037 * [taylor]: Taking taylor expansion of i in i
10.037 * [backup-simplify]: Simplify 0 into 0
10.037 * [backup-simplify]: Simplify 1 into 1
10.037 * [backup-simplify]: Simplify (/ n 1) into n
10.037 * [taylor]: Taking taylor expansion of 1 in i
10.037 * [backup-simplify]: Simplify 1 into 1
10.037 * [backup-simplify]: Simplify (+ n 0) into n
10.037 * [backup-simplify]: Simplify (log n) into (log n)
10.037 * [taylor]: Taking taylor expansion of n in i
10.037 * [backup-simplify]: Simplify n into n
10.038 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.038 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.038 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.038 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
10.038 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.038 * [taylor]: Taking taylor expansion of 1 in i
10.038 * [backup-simplify]: Simplify 1 into 1
10.038 * [taylor]: Taking taylor expansion of n in i
10.038 * [backup-simplify]: Simplify n into n
10.039 * [backup-simplify]: Simplify (- 1) into -1
10.039 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.039 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
10.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.040 * [backup-simplify]: Simplify (+ 0 1) into 1
10.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.040 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.041 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
10.041 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.041 * [backup-simplify]: Simplify (- 0) into 0
10.041 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.042 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.042 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
10.042 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in i
10.042 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in i
10.042 * [taylor]: Taking taylor expansion of i in i
10.042 * [backup-simplify]: Simplify 0 into 0
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.042 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.042 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.042 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.042 * [taylor]: Taking taylor expansion of -1 in i
10.042 * [backup-simplify]: Simplify -1 into -1
10.042 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.042 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.042 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.042 * [taylor]: Taking taylor expansion of (/ n i) in i
10.042 * [taylor]: Taking taylor expansion of n in i
10.042 * [backup-simplify]: Simplify n into n
10.042 * [taylor]: Taking taylor expansion of i in i
10.042 * [backup-simplify]: Simplify 0 into 0
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [backup-simplify]: Simplify (/ n 1) into n
10.042 * [taylor]: Taking taylor expansion of 1 in i
10.042 * [backup-simplify]: Simplify 1 into 1
10.042 * [backup-simplify]: Simplify (+ n 0) into n
10.042 * [backup-simplify]: Simplify (log n) into (log n)
10.042 * [taylor]: Taking taylor expansion of n in i
10.042 * [backup-simplify]: Simplify n into n
10.043 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.043 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.043 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.043 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
10.043 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.043 * [taylor]: Taking taylor expansion of 1 in i
10.043 * [backup-simplify]: Simplify 1 into 1
10.043 * [taylor]: Taking taylor expansion of n in i
10.043 * [backup-simplify]: Simplify n into n
10.043 * [backup-simplify]: Simplify (- 1) into -1
10.044 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.044 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
10.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.045 * [backup-simplify]: Simplify (+ 0 1) into 1
10.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.045 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.045 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
10.046 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.046 * [backup-simplify]: Simplify (- 0) into 0
10.046 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.046 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.047 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
10.047 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
10.047 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
10.047 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.047 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.047 * [taylor]: Taking taylor expansion of -1 in n
10.047 * [backup-simplify]: Simplify -1 into -1
10.047 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.047 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.047 * [taylor]: Taking taylor expansion of (log n) in n
10.047 * [taylor]: Taking taylor expansion of n in n
10.047 * [backup-simplify]: Simplify 0 into 0
10.047 * [backup-simplify]: Simplify 1 into 1
10.048 * [backup-simplify]: Simplify (log 1) into 0
10.048 * [taylor]: Taking taylor expansion of (log i) in n
10.048 * [taylor]: Taking taylor expansion of i in n
10.048 * [backup-simplify]: Simplify i into i
10.048 * [backup-simplify]: Simplify (log i) into (log i)
10.048 * [taylor]: Taking taylor expansion of n in n
10.048 * [backup-simplify]: Simplify 0 into 0
10.048 * [backup-simplify]: Simplify 1 into 1
10.048 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.048 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.048 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.049 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.049 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.049 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.049 * [taylor]: Taking taylor expansion of 1 in n
10.049 * [backup-simplify]: Simplify 1 into 1
10.049 * [taylor]: Taking taylor expansion of n in n
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 1 into 1
10.049 * [backup-simplify]: Simplify (- 1) into -1
10.049 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.050 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.050 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.052 * [backup-simplify]: Simplify (+ 0 0) into 0
10.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.054 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
10.054 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
10.055 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
10.056 * [backup-simplify]: Simplify (- 0) into 0
10.056 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
10.057 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.058 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
10.058 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
10.058 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
10.058 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.058 * [taylor]: Taking taylor expansion of -1 in n
10.058 * [backup-simplify]: Simplify -1 into -1
10.058 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.058 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.058 * [taylor]: Taking taylor expansion of (log n) in n
10.058 * [taylor]: Taking taylor expansion of n in n
10.058 * [backup-simplify]: Simplify 0 into 0
10.058 * [backup-simplify]: Simplify 1 into 1
10.059 * [backup-simplify]: Simplify (log 1) into 0
10.059 * [taylor]: Taking taylor expansion of (log i) in n
10.059 * [taylor]: Taking taylor expansion of i in n
10.059 * [backup-simplify]: Simplify i into i
10.059 * [backup-simplify]: Simplify (log i) into (log i)
10.059 * [taylor]: Taking taylor expansion of n in n
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify 1 into 1
10.060 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.060 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.060 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.060 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.060 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.060 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.060 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.060 * [taylor]: Taking taylor expansion of n in n
10.060 * [backup-simplify]: Simplify 0 into 0
10.060 * [backup-simplify]: Simplify 1 into 1
10.061 * [backup-simplify]: Simplify (* 1 1) into 1
10.061 * [backup-simplify]: Simplify (* 1 1) into 1
10.061 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.068 * [backup-simplify]: Simplify (- 0) into 0
10.068 * [backup-simplify]: Simplify 0 into 0
10.068 * [backup-simplify]: Simplify (- 0) into 0
10.068 * [backup-simplify]: Simplify (+ 0 0) into 0
10.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
10.069 * [backup-simplify]: Simplify 0 into 0
10.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.072 * [backup-simplify]: Simplify (+ 0 0) into 0
10.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
10.076 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
10.076 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
10.077 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
10.078 * [backup-simplify]: Simplify (- 0) into 0
10.079 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
10.081 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
10.082 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
10.082 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
10.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
10.083 * [taylor]: Taking taylor expansion of 1/2 in n
10.083 * [backup-simplify]: Simplify 1/2 into 1/2
10.083 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
10.083 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.083 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.083 * [taylor]: Taking taylor expansion of -1 in n
10.083 * [backup-simplify]: Simplify -1 into -1
10.083 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.083 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.083 * [taylor]: Taking taylor expansion of (log n) in n
10.083 * [taylor]: Taking taylor expansion of n in n
10.083 * [backup-simplify]: Simplify 0 into 0
10.083 * [backup-simplify]: Simplify 1 into 1
10.083 * [backup-simplify]: Simplify (log 1) into 0
10.083 * [taylor]: Taking taylor expansion of (log i) in n
10.083 * [taylor]: Taking taylor expansion of i in n
10.083 * [backup-simplify]: Simplify i into i
10.084 * [backup-simplify]: Simplify (log i) into (log i)
10.084 * [taylor]: Taking taylor expansion of n in n
10.084 * [backup-simplify]: Simplify 0 into 0
10.084 * [backup-simplify]: Simplify 1 into 1
10.084 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.084 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.084 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.084 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.084 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.085 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.085 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.085 * [taylor]: Taking taylor expansion of n in n
10.085 * [backup-simplify]: Simplify 0 into 0
10.085 * [backup-simplify]: Simplify 1 into 1
10.085 * [backup-simplify]: Simplify (* 1 1) into 1
10.085 * [backup-simplify]: Simplify (* 1 1) into 1
10.086 * [backup-simplify]: Simplify (* 1 1) into 1
10.086 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
10.086 * [taylor]: Taking taylor expansion of 1/2 in n
10.086 * [backup-simplify]: Simplify 1/2 into 1/2
10.086 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
10.086 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.086 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.086 * [taylor]: Taking taylor expansion of -1 in n
10.086 * [backup-simplify]: Simplify -1 into -1
10.086 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.086 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.086 * [taylor]: Taking taylor expansion of (log n) in n
10.086 * [taylor]: Taking taylor expansion of n in n
10.086 * [backup-simplify]: Simplify 0 into 0
10.086 * [backup-simplify]: Simplify 1 into 1
10.087 * [backup-simplify]: Simplify (log 1) into 0
10.087 * [taylor]: Taking taylor expansion of (log i) in n
10.087 * [taylor]: Taking taylor expansion of i in n
10.087 * [backup-simplify]: Simplify i into i
10.087 * [backup-simplify]: Simplify (log i) into (log i)
10.087 * [taylor]: Taking taylor expansion of n in n
10.087 * [backup-simplify]: Simplify 0 into 0
10.087 * [backup-simplify]: Simplify 1 into 1
10.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.087 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.088 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.088 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.088 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.088 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.088 * [taylor]: Taking taylor expansion of (pow n 4) in n
10.088 * [taylor]: Taking taylor expansion of n in n
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 1 into 1
10.088 * [backup-simplify]: Simplify (* 1 1) into 1
10.089 * [backup-simplify]: Simplify (* 1 1) into 1
10.089 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
10.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
10.122 * [backup-simplify]: Simplify (+ 0 0) into 0
10.122 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.127 * [backup-simplify]: Simplify (- 0) into 0
10.127 * [backup-simplify]: Simplify 0 into 0
10.127 * [backup-simplify]: Simplify (- 0) into 0
10.128 * [backup-simplify]: Simplify (+ 0 0) into 0
10.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.129 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.131 * [backup-simplify]: Simplify (+ 0 0) into 0
10.134 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
10.135 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
10.135 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow n 5))))) (+ (* 0 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))))) into (* 1/4 (/ 1 (pow n 5)))
10.136 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
10.137 * [backup-simplify]: Simplify (- 0) into 0
10.137 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
10.140 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
10.141 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
10.141 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
10.141 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
10.141 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
10.141 * [taylor]: Taking taylor expansion of 1/6 in n
10.141 * [backup-simplify]: Simplify 1/6 into 1/6
10.141 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
10.141 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.141 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.141 * [taylor]: Taking taylor expansion of -1 in n
10.141 * [backup-simplify]: Simplify -1 into -1
10.141 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.141 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.141 * [taylor]: Taking taylor expansion of (log n) in n
10.141 * [taylor]: Taking taylor expansion of n in n
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [backup-simplify]: Simplify 1 into 1
10.145 * [backup-simplify]: Simplify (log 1) into 0
10.145 * [taylor]: Taking taylor expansion of (log i) in n
10.145 * [taylor]: Taking taylor expansion of i in n
10.145 * [backup-simplify]: Simplify i into i
10.145 * [backup-simplify]: Simplify (log i) into (log i)
10.145 * [taylor]: Taking taylor expansion of n in n
10.145 * [backup-simplify]: Simplify 0 into 0
10.145 * [backup-simplify]: Simplify 1 into 1
10.145 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.145 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.145 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.145 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.146 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.146 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.146 * [taylor]: Taking taylor expansion of (pow n 7) in n
10.146 * [taylor]: Taking taylor expansion of n in n
10.146 * [backup-simplify]: Simplify 0 into 0
10.146 * [backup-simplify]: Simplify 1 into 1
10.146 * [backup-simplify]: Simplify (* 1 1) into 1
10.146 * [backup-simplify]: Simplify (* 1 1) into 1
10.146 * [backup-simplify]: Simplify (* 1 1) into 1
10.147 * [backup-simplify]: Simplify (* 1 1) into 1
10.147 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.147 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
10.147 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
10.147 * [taylor]: Taking taylor expansion of 1/3 in n
10.147 * [backup-simplify]: Simplify 1/3 into 1/3
10.147 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
10.147 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.147 * [taylor]: Taking taylor expansion of -1 in n
10.147 * [backup-simplify]: Simplify -1 into -1
10.147 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.147 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.147 * [taylor]: Taking taylor expansion of (log n) in n
10.147 * [taylor]: Taking taylor expansion of n in n
10.147 * [backup-simplify]: Simplify 0 into 0
10.147 * [backup-simplify]: Simplify 1 into 1
10.147 * [backup-simplify]: Simplify (log 1) into 0
10.147 * [taylor]: Taking taylor expansion of (log i) in n
10.147 * [taylor]: Taking taylor expansion of i in n
10.147 * [backup-simplify]: Simplify i into i
10.147 * [backup-simplify]: Simplify (log i) into (log i)
10.147 * [taylor]: Taking taylor expansion of n in n
10.147 * [backup-simplify]: Simplify 0 into 0
10.147 * [backup-simplify]: Simplify 1 into 1
10.148 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.148 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.148 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.148 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.148 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.148 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.148 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.148 * [taylor]: Taking taylor expansion of n in n
10.148 * [backup-simplify]: Simplify 0 into 0
10.148 * [backup-simplify]: Simplify 1 into 1
10.148 * [backup-simplify]: Simplify (* 1 1) into 1
10.149 * [backup-simplify]: Simplify (* 1 1) into 1
10.149 * [backup-simplify]: Simplify (* 1 1) into 1
10.149 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
10.149 * [taylor]: Taking taylor expansion of 1/2 in n
10.149 * [backup-simplify]: Simplify 1/2 into 1/2
10.149 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
10.149 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.149 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.149 * [taylor]: Taking taylor expansion of -1 in n
10.149 * [backup-simplify]: Simplify -1 into -1
10.149 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.149 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.149 * [taylor]: Taking taylor expansion of (log n) in n
10.149 * [taylor]: Taking taylor expansion of n in n
10.149 * [backup-simplify]: Simplify 0 into 0
10.149 * [backup-simplify]: Simplify 1 into 1
10.149 * [backup-simplify]: Simplify (log 1) into 0
10.149 * [taylor]: Taking taylor expansion of (log i) in n
10.150 * [taylor]: Taking taylor expansion of i in n
10.150 * [backup-simplify]: Simplify i into i
10.150 * [backup-simplify]: Simplify (log i) into (log i)
10.150 * [taylor]: Taking taylor expansion of n in n
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 1 into 1
10.150 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.150 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.150 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.150 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.150 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.150 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.150 * [taylor]: Taking taylor expansion of (pow n 6) in n
10.150 * [taylor]: Taking taylor expansion of n in n
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 1 into 1
10.151 * [backup-simplify]: Simplify (* 1 1) into 1
10.151 * [backup-simplify]: Simplify (* 1 1) into 1
10.151 * [backup-simplify]: Simplify (* 1 1) into 1
10.151 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.178 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
10.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
10.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
10.210 * [backup-simplify]: Simplify (+ 0 0) into 0
10.210 * [backup-simplify]: Simplify (+ 0 0) into 0
10.211 * [backup-simplify]: Simplify (- 0) into 0
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify (* (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
10.211 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1)
10.211 * [backup-simplify]: Simplify (log (+ 1 (/ i n))) into (log (+ (/ i n) 1))
10.211 * [approximate]: Taking taylor expansion of (log (+ (/ i n) 1)) in (i n) around 0
10.211 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
10.212 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
10.212 * [taylor]: Taking taylor expansion of (/ i n) in n
10.212 * [taylor]: Taking taylor expansion of i in n
10.212 * [backup-simplify]: Simplify i into i
10.212 * [taylor]: Taking taylor expansion of n in n
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify 1 into 1
10.212 * [backup-simplify]: Simplify (/ i 1) into i
10.212 * [taylor]: Taking taylor expansion of 1 in n
10.212 * [backup-simplify]: Simplify 1 into 1
10.212 * [backup-simplify]: Simplify (+ i 0) into i
10.212 * [backup-simplify]: Simplify (log i) into (log i)
10.212 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.212 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.212 * [taylor]: Taking taylor expansion of (/ i n) in i
10.212 * [taylor]: Taking taylor expansion of i in i
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify 1 into 1
10.212 * [taylor]: Taking taylor expansion of n in i
10.212 * [backup-simplify]: Simplify n into n
10.212 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.212 * [taylor]: Taking taylor expansion of 1 in i
10.212 * [backup-simplify]: Simplify 1 into 1
10.213 * [backup-simplify]: Simplify (+ 0 1) into 1
10.213 * [backup-simplify]: Simplify (log 1) into 0
10.213 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.213 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.213 * [taylor]: Taking taylor expansion of (/ i n) in i
10.213 * [taylor]: Taking taylor expansion of i in i
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.213 * [taylor]: Taking taylor expansion of n in i
10.213 * [backup-simplify]: Simplify n into n
10.213 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.213 * [taylor]: Taking taylor expansion of 1 in i
10.213 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (+ 0 1) into 1
10.214 * [backup-simplify]: Simplify (log 1) into 0
10.214 * [taylor]: Taking taylor expansion of 0 in n
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
10.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
10.215 * [taylor]: Taking taylor expansion of (/ 1 n) in n
10.215 * [taylor]: Taking taylor expansion of n in n
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify 1 into 1
10.215 * [backup-simplify]: Simplify (/ 1 1) into 1
10.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
10.217 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
10.219 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
10.219 * [taylor]: Taking taylor expansion of -1/2 in n
10.219 * [backup-simplify]: Simplify -1/2 into -1/2
10.219 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.219 * [taylor]: Taking taylor expansion of n in n
10.219 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify 1 into 1
10.219 * [backup-simplify]: Simplify (* 1 1) into 1
10.220 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
10.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.223 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.224 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify 0 into 0
10.225 * [backup-simplify]: Simplify (log (+ 1 (/ (/ 1 i) (/ 1 n)))) into (log (+ (/ n i) 1))
10.225 * [approximate]: Taking taylor expansion of (log (+ (/ n i) 1)) in (i n) around 0
10.225 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.225 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.225 * [taylor]: Taking taylor expansion of (/ n i) in n
10.225 * [taylor]: Taking taylor expansion of n in n
10.225 * [backup-simplify]: Simplify 0 into 0
10.225 * [backup-simplify]: Simplify 1 into 1
10.225 * [taylor]: Taking taylor expansion of i in n
10.225 * [backup-simplify]: Simplify i into i
10.225 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.225 * [taylor]: Taking taylor expansion of 1 in n
10.225 * [backup-simplify]: Simplify 1 into 1
10.225 * [backup-simplify]: Simplify (+ 0 1) into 1
10.226 * [backup-simplify]: Simplify (log 1) into 0
10.226 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.226 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.226 * [taylor]: Taking taylor expansion of (/ n i) in i
10.226 * [taylor]: Taking taylor expansion of n in i
10.226 * [backup-simplify]: Simplify n into n
10.226 * [taylor]: Taking taylor expansion of i in i
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 1 into 1
10.226 * [backup-simplify]: Simplify (/ n 1) into n
10.226 * [taylor]: Taking taylor expansion of 1 in i
10.226 * [backup-simplify]: Simplify 1 into 1
10.226 * [backup-simplify]: Simplify (+ n 0) into n
10.226 * [backup-simplify]: Simplify (log n) into (log n)
10.226 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.226 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.226 * [taylor]: Taking taylor expansion of (/ n i) in i
10.226 * [taylor]: Taking taylor expansion of n in i
10.226 * [backup-simplify]: Simplify n into n
10.226 * [taylor]: Taking taylor expansion of i in i
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 1 into 1
10.226 * [backup-simplify]: Simplify (/ n 1) into n
10.226 * [taylor]: Taking taylor expansion of 1 in i
10.227 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (+ n 0) into n
10.227 * [backup-simplify]: Simplify (log n) into (log n)
10.227 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.227 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.227 * [taylor]: Taking taylor expansion of (log n) in n
10.227 * [taylor]: Taking taylor expansion of n in n
10.227 * [backup-simplify]: Simplify 0 into 0
10.227 * [backup-simplify]: Simplify 1 into 1
10.228 * [backup-simplify]: Simplify (log 1) into 0
10.228 * [taylor]: Taking taylor expansion of (log i) in n
10.228 * [taylor]: Taking taylor expansion of i in n
10.228 * [backup-simplify]: Simplify i into i
10.228 * [backup-simplify]: Simplify (log i) into (log i)
10.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.228 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.228 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.229 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.230 * [backup-simplify]: Simplify (+ 0 1) into 1
10.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n
10.231 * [taylor]: Taking taylor expansion of n in n
10.231 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify 1 into 1
10.231 * [backup-simplify]: Simplify (/ 1 1) into 1
10.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.232 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
10.235 * [backup-simplify]: Simplify (- 0) into 0
10.235 * [backup-simplify]: Simplify (+ 0 0) into 0
10.235 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.237 * [backup-simplify]: Simplify (+ 0 0) into 0
10.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.239 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
10.239 * [taylor]: Taking taylor expansion of -1/2 in n
10.239 * [backup-simplify]: Simplify -1/2 into -1/2
10.239 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.239 * [taylor]: Taking taylor expansion of n in n
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify (* 1 1) into 1
10.240 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
10.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.244 * [backup-simplify]: Simplify 0 into 0
10.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
10.256 * [backup-simplify]: Simplify (- 0) into 0
10.256 * [backup-simplify]: Simplify (+ 0 0) into 0
10.257 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.259 * [backup-simplify]: Simplify (+ 0 0) into 0
10.262 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
10.262 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
10.262 * [taylor]: Taking taylor expansion of 1/3 in n
10.262 * [backup-simplify]: Simplify 1/3 into 1/3
10.262 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.262 * [taylor]: Taking taylor expansion of n in n
10.262 * [backup-simplify]: Simplify 0 into 0
10.262 * [backup-simplify]: Simplify 1 into 1
10.262 * [backup-simplify]: Simplify (* 1 1) into 1
10.263 * [backup-simplify]: Simplify (* 1 1) into 1
10.263 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
10.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
10.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i)))
10.272 * [backup-simplify]: Simplify (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) into (log (+ (/ n i) 1))
10.272 * [approximate]: Taking taylor expansion of (log (+ (/ n i) 1)) in (i n) around 0
10.272 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.272 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.272 * [taylor]: Taking taylor expansion of (/ n i) in n
10.272 * [taylor]: Taking taylor expansion of n in n
10.272 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify 1 into 1
10.272 * [taylor]: Taking taylor expansion of i in n
10.272 * [backup-simplify]: Simplify i into i
10.273 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.273 * [taylor]: Taking taylor expansion of 1 in n
10.273 * [backup-simplify]: Simplify 1 into 1
10.273 * [backup-simplify]: Simplify (+ 0 1) into 1
10.273 * [backup-simplify]: Simplify (log 1) into 0
10.273 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.274 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.274 * [taylor]: Taking taylor expansion of (/ n i) in i
10.274 * [taylor]: Taking taylor expansion of n in i
10.274 * [backup-simplify]: Simplify n into n
10.274 * [taylor]: Taking taylor expansion of i in i
10.274 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify 1 into 1
10.274 * [backup-simplify]: Simplify (/ n 1) into n
10.274 * [taylor]: Taking taylor expansion of 1 in i
10.274 * [backup-simplify]: Simplify 1 into 1
10.274 * [backup-simplify]: Simplify (+ n 0) into n
10.274 * [backup-simplify]: Simplify (log n) into (log n)
10.274 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.274 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.274 * [taylor]: Taking taylor expansion of (/ n i) in i
10.274 * [taylor]: Taking taylor expansion of n in i
10.274 * [backup-simplify]: Simplify n into n
10.274 * [taylor]: Taking taylor expansion of i in i
10.274 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify 1 into 1
10.274 * [backup-simplify]: Simplify (/ n 1) into n
10.274 * [taylor]: Taking taylor expansion of 1 in i
10.274 * [backup-simplify]: Simplify 1 into 1
10.274 * [backup-simplify]: Simplify (+ n 0) into n
10.274 * [backup-simplify]: Simplify (log n) into (log n)
10.275 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.275 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.275 * [taylor]: Taking taylor expansion of (log n) in n
10.275 * [taylor]: Taking taylor expansion of n in n
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.275 * [backup-simplify]: Simplify (log 1) into 0
10.275 * [taylor]: Taking taylor expansion of (log i) in n
10.275 * [taylor]: Taking taylor expansion of i in n
10.276 * [backup-simplify]: Simplify i into i
10.276 * [backup-simplify]: Simplify (log i) into (log i)
10.276 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.276 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.276 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.276 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
10.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.278 * [backup-simplify]: Simplify (+ 0 1) into 1
10.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n
10.279 * [taylor]: Taking taylor expansion of n in n
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify 1 into 1
10.279 * [backup-simplify]: Simplify (/ 1 1) into 1
10.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.280 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
10.283 * [backup-simplify]: Simplify (- 0) into 0
10.283 * [backup-simplify]: Simplify (+ 0 0) into 0
10.283 * [backup-simplify]: Simplify 0 into 0
10.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.285 * [backup-simplify]: Simplify (+ 0 0) into 0
10.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.287 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
10.287 * [taylor]: Taking taylor expansion of -1/2 in n
10.287 * [backup-simplify]: Simplify -1/2 into -1/2
10.287 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.287 * [taylor]: Taking taylor expansion of n in n
10.287 * [backup-simplify]: Simplify 0 into 0
10.287 * [backup-simplify]: Simplify 1 into 1
10.288 * [backup-simplify]: Simplify (* 1 1) into 1
10.288 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
10.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.293 * [backup-simplify]: Simplify 0 into 0
10.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
10.298 * [backup-simplify]: Simplify (- 0) into 0
10.298 * [backup-simplify]: Simplify (+ 0 0) into 0
10.298 * [backup-simplify]: Simplify 0 into 0
10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.300 * [backup-simplify]: Simplify (+ 0 0) into 0
10.302 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
10.302 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
10.302 * [taylor]: Taking taylor expansion of 1/3 in n
10.302 * [backup-simplify]: Simplify 1/3 into 1/3
10.302 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.302 * [taylor]: Taking taylor expansion of n in n
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 1 into 1
10.302 * [backup-simplify]: Simplify (* 1 1) into 1
10.303 * [backup-simplify]: Simplify (* 1 1) into 1
10.303 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
10.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
10.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.308 * [backup-simplify]: Simplify 0 into 0
10.308 * [backup-simplify]: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i)))
10.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
10.309 * [backup-simplify]: Simplify (* (log (+ 1 (/ i n))) n) into (* (log (+ (/ i n) 1)) n)
10.309 * [approximate]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in (i n) around 0
10.309 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in n
10.309 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
10.309 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
10.309 * [taylor]: Taking taylor expansion of (/ i n) in n
10.309 * [taylor]: Taking taylor expansion of i in n
10.309 * [backup-simplify]: Simplify i into i
10.309 * [taylor]: Taking taylor expansion of n in n
10.309 * [backup-simplify]: Simplify 0 into 0
10.309 * [backup-simplify]: Simplify 1 into 1
10.309 * [backup-simplify]: Simplify (/ i 1) into i
10.309 * [taylor]: Taking taylor expansion of 1 in n
10.309 * [backup-simplify]: Simplify 1 into 1
10.309 * [backup-simplify]: Simplify (+ i 0) into i
10.309 * [backup-simplify]: Simplify (log i) into (log i)
10.309 * [taylor]: Taking taylor expansion of n in n
10.309 * [backup-simplify]: Simplify 0 into 0
10.309 * [backup-simplify]: Simplify 1 into 1
10.309 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
10.309 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.309 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.309 * [taylor]: Taking taylor expansion of (/ i n) in i
10.309 * [taylor]: Taking taylor expansion of i in i
10.309 * [backup-simplify]: Simplify 0 into 0
10.309 * [backup-simplify]: Simplify 1 into 1
10.309 * [taylor]: Taking taylor expansion of n in i
10.309 * [backup-simplify]: Simplify n into n
10.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.309 * [taylor]: Taking taylor expansion of 1 in i
10.309 * [backup-simplify]: Simplify 1 into 1
10.309 * [backup-simplify]: Simplify (+ 0 1) into 1
10.310 * [backup-simplify]: Simplify (log 1) into 0
10.310 * [taylor]: Taking taylor expansion of n in i
10.310 * [backup-simplify]: Simplify n into n
10.310 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
10.310 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.310 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.310 * [taylor]: Taking taylor expansion of (/ i n) in i
10.310 * [taylor]: Taking taylor expansion of i in i
10.310 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify 1 into 1
10.310 * [taylor]: Taking taylor expansion of n in i
10.310 * [backup-simplify]: Simplify n into n
10.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.310 * [taylor]: Taking taylor expansion of 1 in i
10.310 * [backup-simplify]: Simplify 1 into 1
10.310 * [backup-simplify]: Simplify (+ 0 1) into 1
10.310 * [backup-simplify]: Simplify (log 1) into 0
10.310 * [taylor]: Taking taylor expansion of n in i
10.310 * [backup-simplify]: Simplify n into n
10.311 * [backup-simplify]: Simplify (* 0 n) into 0
10.311 * [taylor]: Taking taylor expansion of 0 in n
10.311 * [backup-simplify]: Simplify 0 into 0
10.311 * [backup-simplify]: Simplify 0 into 0
10.311 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
10.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
10.311 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
10.311 * [taylor]: Taking taylor expansion of 1 in n
10.311 * [backup-simplify]: Simplify 1 into 1
10.311 * [backup-simplify]: Simplify 1 into 1
10.312 * [backup-simplify]: Simplify 0 into 0
10.312 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
10.312 * [backup-simplify]: Simplify (+ 0 0) into 0
10.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
10.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
10.313 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n
10.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
10.313 * [taylor]: Taking taylor expansion of 1/2 in n
10.313 * [backup-simplify]: Simplify 1/2 into 1/2
10.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n
10.313 * [taylor]: Taking taylor expansion of n in n
10.314 * [backup-simplify]: Simplify 0 into 0
10.314 * [backup-simplify]: Simplify 1 into 1
10.314 * [backup-simplify]: Simplify (/ 1 1) into 1
10.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.315 * [backup-simplify]: Simplify (- 0) into 0
10.315 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
10.315 * [backup-simplify]: Simplify (+ 0 0) into 0
10.317 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
10.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
10.318 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
10.318 * [taylor]: Taking taylor expansion of 1/3 in n
10.318 * [backup-simplify]: Simplify 1/3 into 1/3
10.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
10.318 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.318 * [taylor]: Taking taylor expansion of n in n
10.318 * [backup-simplify]: Simplify 0 into 0
10.318 * [backup-simplify]: Simplify 1 into 1
10.318 * [backup-simplify]: Simplify (* 1 1) into 1
10.318 * [backup-simplify]: Simplify (/ 1 1) into 1
10.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
10.321 * [backup-simplify]: Simplify 0 into 0
10.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
10.322 * [backup-simplify]: Simplify (- 0) into 0
10.322 * [backup-simplify]: Simplify 0 into 0
10.323 * [backup-simplify]: Simplify (* 1 (* 1 i)) into i
10.323 * [backup-simplify]: Simplify (* (log (+ 1 (/ (/ 1 i) (/ 1 n)))) (/ 1 n)) into (/ (log (+ (/ n i) 1)) n)
10.323 * [approximate]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in (i n) around 0
10.323 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
10.323 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.323 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.323 * [taylor]: Taking taylor expansion of (/ n i) in n
10.323 * [taylor]: Taking taylor expansion of n in n
10.323 * [backup-simplify]: Simplify 0 into 0
10.323 * [backup-simplify]: Simplify 1 into 1
10.323 * [taylor]: Taking taylor expansion of i in n
10.323 * [backup-simplify]: Simplify i into i
10.323 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.323 * [taylor]: Taking taylor expansion of 1 in n
10.323 * [backup-simplify]: Simplify 1 into 1
10.323 * [backup-simplify]: Simplify (+ 0 1) into 1
10.323 * [backup-simplify]: Simplify (log 1) into 0
10.323 * [taylor]: Taking taylor expansion of n in n
10.323 * [backup-simplify]: Simplify 0 into 0
10.324 * [backup-simplify]: Simplify 1 into 1
10.324 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
10.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
10.324 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
10.324 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.324 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.324 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.324 * [taylor]: Taking taylor expansion of (/ n i) in i
10.324 * [taylor]: Taking taylor expansion of n in i
10.324 * [backup-simplify]: Simplify n into n
10.324 * [taylor]: Taking taylor expansion of i in i
10.324 * [backup-simplify]: Simplify 0 into 0
10.324 * [backup-simplify]: Simplify 1 into 1
10.324 * [backup-simplify]: Simplify (/ n 1) into n
10.324 * [taylor]: Taking taylor expansion of 1 in i
10.324 * [backup-simplify]: Simplify 1 into 1
10.324 * [backup-simplify]: Simplify (+ n 0) into n
10.324 * [backup-simplify]: Simplify (log n) into (log n)
10.324 * [taylor]: Taking taylor expansion of n in i
10.324 * [backup-simplify]: Simplify n into n
10.325 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.325 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.325 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.325 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.325 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.325 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.325 * [taylor]: Taking taylor expansion of (/ n i) in i
10.325 * [taylor]: Taking taylor expansion of n in i
10.325 * [backup-simplify]: Simplify n into n
10.325 * [taylor]: Taking taylor expansion of i in i
10.325 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify 1 into 1
10.325 * [backup-simplify]: Simplify (/ n 1) into n
10.325 * [taylor]: Taking taylor expansion of 1 in i
10.325 * [backup-simplify]: Simplify 1 into 1
10.325 * [backup-simplify]: Simplify (+ n 0) into n
10.325 * [backup-simplify]: Simplify (log n) into (log n)
10.325 * [taylor]: Taking taylor expansion of n in i
10.325 * [backup-simplify]: Simplify n into n
10.326 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.326 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.326 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.326 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.326 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.326 * [taylor]: Taking taylor expansion of (log n) in n
10.326 * [taylor]: Taking taylor expansion of n in n
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.327 * [backup-simplify]: Simplify (log 1) into 0
10.327 * [taylor]: Taking taylor expansion of (log i) in n
10.327 * [taylor]: Taking taylor expansion of i in n
10.327 * [backup-simplify]: Simplify i into i
10.327 * [backup-simplify]: Simplify (log i) into (log i)
10.327 * [taylor]: Taking taylor expansion of n in n
10.327 * [backup-simplify]: Simplify 0 into 0
10.327 * [backup-simplify]: Simplify 1 into 1
10.327 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.327 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.327 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.327 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
10.330 * [backup-simplify]: Simplify (- 0) into 0
10.330 * [backup-simplify]: Simplify (+ 0 0) into 0
10.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
10.331 * [backup-simplify]: Simplify 0 into 0
10.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.333 * [backup-simplify]: Simplify (+ 0 1) into 1
10.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.334 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.334 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
10.334 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.334 * [taylor]: Taking taylor expansion of n in n
10.334 * [backup-simplify]: Simplify 0 into 0
10.334 * [backup-simplify]: Simplify 1 into 1
10.334 * [backup-simplify]: Simplify (* 1 1) into 1
10.335 * [backup-simplify]: Simplify (/ 1 1) into 1
10.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.338 * [backup-simplify]: Simplify 0 into 0
10.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
10.343 * [backup-simplify]: Simplify (- 0) into 0
10.343 * [backup-simplify]: Simplify (+ 0 0) into 0
10.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.345 * [backup-simplify]: Simplify 0 into 0
10.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.347 * [backup-simplify]: Simplify (+ 0 0) into 0
10.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.349 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
10.349 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 3)))) in n
10.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
10.349 * [taylor]: Taking taylor expansion of 1/2 in n
10.349 * [backup-simplify]: Simplify 1/2 into 1/2
10.349 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
10.349 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.349 * [taylor]: Taking taylor expansion of n in n
10.350 * [backup-simplify]: Simplify 0 into 0
10.350 * [backup-simplify]: Simplify 1 into 1
10.350 * [backup-simplify]: Simplify (* 1 1) into 1
10.350 * [backup-simplify]: Simplify (* 1 1) into 1
10.351 * [backup-simplify]: Simplify (/ 1 1) into 1
10.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.356 * [backup-simplify]: Simplify (- 0) into 0
10.356 * [backup-simplify]: Simplify 0 into 0
10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.357 * [backup-simplify]: Simplify 0 into 0
10.360 * [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
10.362 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
10.363 * [backup-simplify]: Simplify (- 0) into 0
10.363 * [backup-simplify]: Simplify (+ 0 0) into 0
10.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.365 * [backup-simplify]: Simplify 0 into 0
10.365 * [backup-simplify]: Simplify 0 into 0
10.366 * [backup-simplify]: Simplify (* (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) (/ 1 (- n))) into (* -1 (/ (log (+ (/ n i) 1)) n))
10.366 * [approximate]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in (i n) around 0
10.366 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in n
10.366 * [taylor]: Taking taylor expansion of -1 in n
10.366 * [backup-simplify]: Simplify -1 into -1
10.366 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
10.366 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.366 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.366 * [taylor]: Taking taylor expansion of (/ n i) in n
10.366 * [taylor]: Taking taylor expansion of n in n
10.366 * [backup-simplify]: Simplify 0 into 0
10.366 * [backup-simplify]: Simplify 1 into 1
10.366 * [taylor]: Taking taylor expansion of i in n
10.366 * [backup-simplify]: Simplify i into i
10.366 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.366 * [taylor]: Taking taylor expansion of 1 in n
10.366 * [backup-simplify]: Simplify 1 into 1
10.366 * [backup-simplify]: Simplify (+ 0 1) into 1
10.367 * [backup-simplify]: Simplify (log 1) into 0
10.367 * [taylor]: Taking taylor expansion of n in n
10.367 * [backup-simplify]: Simplify 0 into 0
10.367 * [backup-simplify]: Simplify 1 into 1
10.367 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
10.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
10.368 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
10.368 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.368 * [taylor]: Taking taylor expansion of -1 in i
10.368 * [backup-simplify]: Simplify -1 into -1
10.368 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.368 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.368 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.368 * [taylor]: Taking taylor expansion of (/ n i) in i
10.368 * [taylor]: Taking taylor expansion of n in i
10.368 * [backup-simplify]: Simplify n into n
10.368 * [taylor]: Taking taylor expansion of i in i
10.368 * [backup-simplify]: Simplify 0 into 0
10.368 * [backup-simplify]: Simplify 1 into 1
10.368 * [backup-simplify]: Simplify (/ n 1) into n
10.368 * [taylor]: Taking taylor expansion of 1 in i
10.368 * [backup-simplify]: Simplify 1 into 1
10.368 * [backup-simplify]: Simplify (+ n 0) into n
10.368 * [backup-simplify]: Simplify (log n) into (log n)
10.368 * [taylor]: Taking taylor expansion of n in i
10.368 * [backup-simplify]: Simplify n into n
10.369 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.369 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.369 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.369 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.369 * [taylor]: Taking taylor expansion of -1 in i
10.369 * [backup-simplify]: Simplify -1 into -1
10.369 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.369 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.369 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.370 * [taylor]: Taking taylor expansion of (/ n i) in i
10.370 * [taylor]: Taking taylor expansion of n in i
10.370 * [backup-simplify]: Simplify n into n
10.370 * [taylor]: Taking taylor expansion of i in i
10.370 * [backup-simplify]: Simplify 0 into 0
10.370 * [backup-simplify]: Simplify 1 into 1
10.370 * [backup-simplify]: Simplify (/ n 1) into n
10.370 * [taylor]: Taking taylor expansion of 1 in i
10.370 * [backup-simplify]: Simplify 1 into 1
10.370 * [backup-simplify]: Simplify (+ n 0) into n
10.370 * [backup-simplify]: Simplify (log n) into (log n)
10.370 * [taylor]: Taking taylor expansion of n in i
10.370 * [backup-simplify]: Simplify n into n
10.370 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.371 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.371 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.371 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
10.371 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.371 * [taylor]: Taking taylor expansion of -1 in n
10.371 * [backup-simplify]: Simplify -1 into -1
10.371 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.371 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.371 * [taylor]: Taking taylor expansion of (log n) in n
10.371 * [taylor]: Taking taylor expansion of n in n
10.371 * [backup-simplify]: Simplify 0 into 0
10.371 * [backup-simplify]: Simplify 1 into 1
10.372 * [backup-simplify]: Simplify (log 1) into 0
10.372 * [taylor]: Taking taylor expansion of (log i) in n
10.372 * [taylor]: Taking taylor expansion of i in n
10.372 * [backup-simplify]: Simplify i into i
10.372 * [backup-simplify]: Simplify (log i) into (log i)
10.372 * [taylor]: Taking taylor expansion of n in n
10.372 * [backup-simplify]: Simplify 0 into 0
10.372 * [backup-simplify]: Simplify 1 into 1
10.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.372 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.373 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.373 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
10.375 * [backup-simplify]: Simplify (- 0) into 0
10.375 * [backup-simplify]: Simplify (+ 0 0) into 0
10.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
10.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (log n) (log i)))) into 0
10.377 * [backup-simplify]: Simplify 0 into 0
10.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.384 * [backup-simplify]: Simplify (+ 0 1) into 1
10.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.385 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.385 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
10.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n
10.386 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
10.386 * [taylor]: Taking taylor expansion of (pow n 2) in n
10.386 * [taylor]: Taking taylor expansion of n in n
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify 1 into 1
10.386 * [backup-simplify]: Simplify (* 1 1) into 1
10.386 * [backup-simplify]: Simplify (/ 1 1) into 1
10.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.391 * [backup-simplify]: Simplify (- 0) into 0
10.391 * [backup-simplify]: Simplify 0 into 0
10.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
10.396 * [backup-simplify]: Simplify (- 0) into 0
10.396 * [backup-simplify]: Simplify (+ 0 0) into 0
10.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0
10.398 * [backup-simplify]: Simplify 0 into 0
10.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.400 * [backup-simplify]: Simplify (+ 0 0) into 0
10.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.402 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
10.402 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
10.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
10.403 * [taylor]: Taking taylor expansion of 1/2 in n
10.403 * [backup-simplify]: Simplify 1/2 into 1/2
10.403 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
10.403 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.403 * [taylor]: Taking taylor expansion of n in n
10.403 * [backup-simplify]: Simplify 0 into 0
10.403 * [backup-simplify]: Simplify 1 into 1
10.403 * [backup-simplify]: Simplify (* 1 1) into 1
10.403 * [backup-simplify]: Simplify (* 1 1) into 1
10.403 * [backup-simplify]: Simplify (/ 1 1) into 1
10.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.409 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.411 * [backup-simplify]: Simplify (- 0) into 0
10.411 * [backup-simplify]: Simplify 0 into 0
10.415 * [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
10.418 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
10.419 * [backup-simplify]: Simplify (- 0) into 0
10.419 * [backup-simplify]: Simplify (+ 0 0) into 0
10.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0
10.422 * [backup-simplify]: Simplify 0 into 0
10.422 * [backup-simplify]: Simplify 0 into 0
10.423 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.423 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) into (* 100 (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i))
10.423 * [approximate]: Taking taylor expansion of (* 100 (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i)) in (i n) around 0
10.423 * [taylor]: Taking taylor expansion of (* 100 (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i)) in n
10.423 * [taylor]: Taking taylor expansion of 100 in n
10.423 * [backup-simplify]: Simplify 100 into 100
10.423 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in n
10.423 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in n
10.423 * [taylor]: Taking taylor expansion of n in n
10.423 * [backup-simplify]: Simplify 0 into 0
10.423 * [backup-simplify]: Simplify 1 into 1
10.423 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in n
10.423 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
10.423 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in n
10.423 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in n
10.423 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
10.423 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
10.423 * [taylor]: Taking taylor expansion of (/ i n) in n
10.423 * [taylor]: Taking taylor expansion of i in n
10.423 * [backup-simplify]: Simplify i into i
10.423 * [taylor]: Taking taylor expansion of n in n
10.423 * [backup-simplify]: Simplify 0 into 0
10.424 * [backup-simplify]: Simplify 1 into 1
10.424 * [backup-simplify]: Simplify (/ i 1) into i
10.424 * [taylor]: Taking taylor expansion of 1 in n
10.424 * [backup-simplify]: Simplify 1 into 1
10.424 * [backup-simplify]: Simplify (+ i 0) into i
10.424 * [backup-simplify]: Simplify (log i) into (log i)
10.424 * [taylor]: Taking taylor expansion of n in n
10.424 * [backup-simplify]: Simplify 0 into 0
10.424 * [backup-simplify]: Simplify 1 into 1
10.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
10.425 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
10.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
10.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
10.427 * [backup-simplify]: Simplify (+ 0 1) into 1
10.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
10.428 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
10.428 * [backup-simplify]: Simplify (exp 0) into 1
10.428 * [taylor]: Taking taylor expansion of 1 in n
10.428 * [backup-simplify]: Simplify 1 into 1
10.428 * [taylor]: Taking taylor expansion of i in n
10.428 * [backup-simplify]: Simplify i into i
10.428 * [backup-simplify]: Simplify (- 1) into -1
10.429 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.429 * [backup-simplify]: Simplify (* 0 0) into 0
10.429 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
10.430 * [backup-simplify]: Simplify (- 0) into 0
10.430 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
10.430 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 0)) into 0
10.431 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
10.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.432 * [backup-simplify]: Simplify (+ 0 0) into 0
10.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
10.434 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i)
10.435 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
10.435 * [backup-simplify]: Simplify (- 0) into 0
10.436 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
10.437 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 1 (- (log i) (log n))) (* 0 0))) into (- (log i) (log n))
10.437 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
10.437 * [taylor]: Taking taylor expansion of (* 100 (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i)) in i
10.437 * [taylor]: Taking taylor expansion of 100 in i
10.438 * [backup-simplify]: Simplify 100 into 100
10.438 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in i
10.438 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in i
10.438 * [taylor]: Taking taylor expansion of n in i
10.438 * [backup-simplify]: Simplify n into n
10.438 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in i
10.438 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
10.438 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in i
10.438 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
10.438 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.438 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.438 * [taylor]: Taking taylor expansion of (/ i n) in i
10.438 * [taylor]: Taking taylor expansion of i in i
10.438 * [backup-simplify]: Simplify 0 into 0
10.438 * [backup-simplify]: Simplify 1 into 1
10.438 * [taylor]: Taking taylor expansion of n in i
10.438 * [backup-simplify]: Simplify n into n
10.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.438 * [taylor]: Taking taylor expansion of 1 in i
10.438 * [backup-simplify]: Simplify 1 into 1
10.439 * [backup-simplify]: Simplify (+ 0 1) into 1
10.439 * [backup-simplify]: Simplify (log 1) into 0
10.439 * [taylor]: Taking taylor expansion of n in i
10.439 * [backup-simplify]: Simplify n into n
10.439 * [backup-simplify]: Simplify (* 0 n) into 0
10.439 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
10.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
10.440 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
10.440 * [backup-simplify]: Simplify (exp 0) into 1
10.440 * [taylor]: Taking taylor expansion of 1 in i
10.440 * [backup-simplify]: Simplify 1 into 1
10.440 * [taylor]: Taking taylor expansion of i in i
10.440 * [backup-simplify]: Simplify 0 into 0
10.440 * [backup-simplify]: Simplify 1 into 1
10.441 * [backup-simplify]: Simplify (- 1) into -1
10.441 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.441 * [backup-simplify]: Simplify (* n 0) into 0
10.443 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.443 * [backup-simplify]: Simplify (- 0) into 0
10.443 * [backup-simplify]: Simplify (+ 1 0) into 1
10.444 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n
10.444 * [backup-simplify]: Simplify (/ n 1) into n
10.444 * [taylor]: Taking taylor expansion of (* 100 (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i)) in i
10.444 * [taylor]: Taking taylor expansion of 100 in i
10.444 * [backup-simplify]: Simplify 100 into 100
10.444 * [taylor]: Taking taylor expansion of (/ (* n (expm1 (* (log (+ (/ i n) 1)) n))) i) in i
10.444 * [taylor]: Taking taylor expansion of (* n (expm1 (* (log (+ (/ i n) 1)) n))) in i
10.444 * [taylor]: Taking taylor expansion of n in i
10.444 * [backup-simplify]: Simplify n into n
10.444 * [taylor]: Taking taylor expansion of (expm1 (* (log (+ (/ i n) 1)) n)) in i
10.444 * [taylor]: Rewrote expression to (- (exp (* (log (+ (/ i n) 1)) n)) 1)
10.444 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ i n) 1)) n)) in i
10.444 * [taylor]: Taking taylor expansion of (* (log (+ (/ i n) 1)) n) in i
10.444 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
10.444 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
10.444 * [taylor]: Taking taylor expansion of (/ i n) in i
10.444 * [taylor]: Taking taylor expansion of i in i
10.444 * [backup-simplify]: Simplify 0 into 0
10.444 * [backup-simplify]: Simplify 1 into 1
10.444 * [taylor]: Taking taylor expansion of n in i
10.444 * [backup-simplify]: Simplify n into n
10.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
10.444 * [taylor]: Taking taylor expansion of 1 in i
10.445 * [backup-simplify]: Simplify 1 into 1
10.445 * [backup-simplify]: Simplify (+ 0 1) into 1
10.445 * [backup-simplify]: Simplify (log 1) into 0
10.445 * [taylor]: Taking taylor expansion of n in i
10.445 * [backup-simplify]: Simplify n into n
10.445 * [backup-simplify]: Simplify (* 0 n) into 0
10.446 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
10.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
10.447 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
10.447 * [backup-simplify]: Simplify (exp 0) into 1
10.447 * [taylor]: Taking taylor expansion of 1 in i
10.447 * [backup-simplify]: Simplify 1 into 1
10.447 * [taylor]: Taking taylor expansion of i in i
10.447 * [backup-simplify]: Simplify 0 into 0
10.447 * [backup-simplify]: Simplify 1 into 1
10.447 * [backup-simplify]: Simplify (- 1) into -1
10.447 * [backup-simplify]: Simplify (+ 1 -1) into 0
10.448 * [backup-simplify]: Simplify (* n 0) into 0
10.449 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.449 * [backup-simplify]: Simplify (- 0) into 0
10.449 * [backup-simplify]: Simplify (+ 1 0) into 1
10.450 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n
10.450 * [backup-simplify]: Simplify (/ n 1) into n
10.450 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
10.450 * [taylor]: Taking taylor expansion of (* 100 n) in n
10.450 * [taylor]: Taking taylor expansion of 100 in n
10.450 * [backup-simplify]: Simplify 100 into 100
10.450 * [taylor]: Taking taylor expansion of n in n
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify 1 into 1
10.451 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
10.451 * [backup-simplify]: Simplify 0 into 0
10.451 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
10.452 * [backup-simplify]: Simplify (+ 0 0) into 0
10.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
10.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
10.455 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
10.455 * [backup-simplify]: Simplify (- 0) into 0
10.455 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
10.456 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0))) into (- (* 1/2 n) 1/2)
10.456 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
10.456 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
10.456 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
10.456 * [taylor]: Taking taylor expansion of (* 50 n) in n
10.456 * [taylor]: Taking taylor expansion of 50 in n
10.456 * [backup-simplify]: Simplify 50 into 50
10.456 * [taylor]: Taking taylor expansion of n in n
10.456 * [backup-simplify]: Simplify 0 into 0
10.457 * [backup-simplify]: Simplify 1 into 1
10.457 * [taylor]: Taking taylor expansion of 50 in n
10.457 * [backup-simplify]: Simplify 50 into 50
10.457 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
10.457 * [backup-simplify]: Simplify (- 0) into 0
10.458 * [backup-simplify]: Simplify (+ 0 0) into 0
10.458 * [backup-simplify]: Simplify 0 into 0
10.458 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.458 * [backup-simplify]: Simplify 0 into 0
10.459 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
10.459 * [backup-simplify]: Simplify (+ 0 0) into 0
10.461 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
10.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
10.462 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
10.463 * [backup-simplify]: Simplify (- 0) into 0
10.463 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
10.464 * [backup-simplify]: Simplify (+ (* n (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))) (+ (* 0 (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
10.464 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
10.464 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50)
10.464 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
10.464 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
10.465 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
10.465 * [taylor]: Taking taylor expansion of 50/3 in n
10.465 * [backup-simplify]: Simplify 50/3 into 50/3
10.465 * [taylor]: Taking taylor expansion of n in n
10.465 * [backup-simplify]: Simplify 0 into 0
10.465 * [backup-simplify]: Simplify 1 into 1
10.465 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
10.465 * [taylor]: Taking taylor expansion of 100/3 in n
10.465 * [backup-simplify]: Simplify 100/3 into 100/3
10.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n
10.465 * [taylor]: Taking taylor expansion of n in n
10.465 * [backup-simplify]: Simplify 0 into 0
10.465 * [backup-simplify]: Simplify 1 into 1
10.465 * [backup-simplify]: Simplify (/ 1 1) into 1
10.465 * [taylor]: Taking taylor expansion of 50 in n
10.465 * [backup-simplify]: Simplify 50 into 50
10.466 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
10.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.468 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.468 * [backup-simplify]: Simplify (+ 0 0) into 0
10.468 * [backup-simplify]: Simplify (- 0) into 0
10.469 * [backup-simplify]: Simplify (+ 0 0) into 0
10.469 * [backup-simplify]: Simplify 0 into 0
10.469 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.470 * [backup-simplify]: Simplify (- 0) into 0
10.470 * [backup-simplify]: Simplify (+ 0 0) into 0
10.470 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
10.471 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log (+ 1 (/ (/ 1 i) (/ 1 n)))) (/ 1 n))) (/ (/ 1 i) (/ 1 n)))) into (* 100 (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n))
10.471 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n)) in (i n) around 0
10.471 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n)) in n
10.471 * [taylor]: Taking taylor expansion of 100 in n
10.471 * [backup-simplify]: Simplify 100 into 100
10.471 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in n
10.471 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in n
10.471 * [taylor]: Taking taylor expansion of i in n
10.471 * [backup-simplify]: Simplify i into i
10.471 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in n
10.471 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
10.471 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in n
10.471 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
10.471 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.471 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.471 * [taylor]: Taking taylor expansion of (/ n i) in n
10.471 * [taylor]: Taking taylor expansion of n in n
10.471 * [backup-simplify]: Simplify 0 into 0
10.471 * [backup-simplify]: Simplify 1 into 1
10.471 * [taylor]: Taking taylor expansion of i in n
10.471 * [backup-simplify]: Simplify i into i
10.471 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.471 * [taylor]: Taking taylor expansion of 1 in n
10.471 * [backup-simplify]: Simplify 1 into 1
10.472 * [backup-simplify]: Simplify (+ 0 1) into 1
10.472 * [backup-simplify]: Simplify (log 1) into 0
10.472 * [taylor]: Taking taylor expansion of n in n
10.472 * [backup-simplify]: Simplify 0 into 0
10.472 * [backup-simplify]: Simplify 1 into 1
10.472 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
10.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
10.473 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
10.473 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
10.473 * [taylor]: Taking taylor expansion of 1 in n
10.473 * [backup-simplify]: Simplify 1 into 1
10.473 * [taylor]: Taking taylor expansion of n in n
10.473 * [backup-simplify]: Simplify 0 into 0
10.473 * [backup-simplify]: Simplify 1 into 1
10.473 * [backup-simplify]: Simplify (- 1) into -1
10.473 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
10.474 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
10.474 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
10.474 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n)) in i
10.474 * [taylor]: Taking taylor expansion of 100 in i
10.474 * [backup-simplify]: Simplify 100 into 100
10.474 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in i
10.474 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in i
10.474 * [taylor]: Taking taylor expansion of i in i
10.474 * [backup-simplify]: Simplify 0 into 0
10.474 * [backup-simplify]: Simplify 1 into 1
10.474 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in i
10.474 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
10.474 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in i
10.474 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.474 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.474 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.474 * [taylor]: Taking taylor expansion of (/ n i) in i
10.474 * [taylor]: Taking taylor expansion of n in i
10.474 * [backup-simplify]: Simplify n into n
10.474 * [taylor]: Taking taylor expansion of i in i
10.474 * [backup-simplify]: Simplify 0 into 0
10.474 * [backup-simplify]: Simplify 1 into 1
10.474 * [backup-simplify]: Simplify (/ n 1) into n
10.474 * [taylor]: Taking taylor expansion of 1 in i
10.474 * [backup-simplify]: Simplify 1 into 1
10.475 * [backup-simplify]: Simplify (+ n 0) into n
10.475 * [backup-simplify]: Simplify (log n) into (log n)
10.475 * [taylor]: Taking taylor expansion of n in i
10.475 * [backup-simplify]: Simplify n into n
10.475 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.476 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.476 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.476 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.476 * [taylor]: Taking taylor expansion of 1 in i
10.476 * [backup-simplify]: Simplify 1 into 1
10.476 * [taylor]: Taking taylor expansion of n in i
10.476 * [backup-simplify]: Simplify n into n
10.476 * [backup-simplify]: Simplify (- 1) into -1
10.476 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.477 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
10.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.478 * [backup-simplify]: Simplify (+ 0 1) into 1
10.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.479 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.479 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
10.479 * [backup-simplify]: Simplify (- 0) into 0
10.479 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
10.480 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.480 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
10.480 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n)) in i
10.480 * [taylor]: Taking taylor expansion of 100 in i
10.480 * [backup-simplify]: Simplify 100 into 100
10.480 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ (log (+ (/ n i) 1)) n))) n) in i
10.480 * [taylor]: Taking taylor expansion of (* i (expm1 (/ (log (+ (/ n i) 1)) n))) in i
10.480 * [taylor]: Taking taylor expansion of i in i
10.480 * [backup-simplify]: Simplify 0 into 0
10.480 * [backup-simplify]: Simplify 1 into 1
10.480 * [taylor]: Taking taylor expansion of (expm1 (/ (log (+ (/ n i) 1)) n)) in i
10.480 * [taylor]: Rewrote expression to (- (exp (/ (log (+ (/ n i) 1)) n)) 1)
10.480 * [taylor]: Taking taylor expansion of (exp (/ (log (+ (/ n i) 1)) n)) in i
10.480 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.480 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.480 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.480 * [taylor]: Taking taylor expansion of (/ n i) in i
10.480 * [taylor]: Taking taylor expansion of n in i
10.480 * [backup-simplify]: Simplify n into n
10.480 * [taylor]: Taking taylor expansion of i in i
10.480 * [backup-simplify]: Simplify 0 into 0
10.480 * [backup-simplify]: Simplify 1 into 1
10.480 * [backup-simplify]: Simplify (/ n 1) into n
10.480 * [taylor]: Taking taylor expansion of 1 in i
10.480 * [backup-simplify]: Simplify 1 into 1
10.480 * [backup-simplify]: Simplify (+ n 0) into n
10.480 * [backup-simplify]: Simplify (log n) into (log n)
10.480 * [taylor]: Taking taylor expansion of n in i
10.480 * [backup-simplify]: Simplify n into n
10.481 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.481 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.481 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.481 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.481 * [taylor]: Taking taylor expansion of 1 in i
10.481 * [backup-simplify]: Simplify 1 into 1
10.481 * [taylor]: Taking taylor expansion of n in i
10.481 * [backup-simplify]: Simplify n into n
10.481 * [backup-simplify]: Simplify (- 1) into -1
10.482 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.482 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
10.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.483 * [backup-simplify]: Simplify (+ 0 1) into 1
10.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.483 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.484 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
10.484 * [backup-simplify]: Simplify (- 0) into 0
10.484 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
10.484 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.485 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
10.485 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
10.485 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
10.485 * [taylor]: Taking taylor expansion of 100 in n
10.485 * [backup-simplify]: Simplify 100 into 100
10.485 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
10.485 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
10.485 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.485 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.485 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.485 * [taylor]: Taking taylor expansion of (log n) in n
10.485 * [taylor]: Taking taylor expansion of n in n
10.485 * [backup-simplify]: Simplify 0 into 0
10.485 * [backup-simplify]: Simplify 1 into 1
10.485 * [backup-simplify]: Simplify (log 1) into 0
10.485 * [taylor]: Taking taylor expansion of (log i) in n
10.485 * [taylor]: Taking taylor expansion of i in n
10.485 * [backup-simplify]: Simplify i into i
10.486 * [backup-simplify]: Simplify (log i) into (log i)
10.486 * [taylor]: Taking taylor expansion of n in n
10.486 * [backup-simplify]: Simplify 0 into 0
10.486 * [backup-simplify]: Simplify 1 into 1
10.486 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.486 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.486 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.486 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.486 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.486 * [taylor]: Taking taylor expansion of 1 in n
10.486 * [backup-simplify]: Simplify 1 into 1
10.486 * [taylor]: Taking taylor expansion of n in n
10.486 * [backup-simplify]: Simplify 0 into 0
10.486 * [backup-simplify]: Simplify 1 into 1
10.487 * [backup-simplify]: Simplify (- 1) into -1
10.487 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.487 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
10.487 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
10.487 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
10.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.488 * [backup-simplify]: Simplify (+ 0 0) into 0
10.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.489 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
10.490 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
10.490 * [backup-simplify]: Simplify (- 0) into 0
10.490 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
10.491 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
10.491 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
10.491 * [backup-simplify]: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))
10.492 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
10.492 * [taylor]: Taking taylor expansion of 100 in n
10.492 * [backup-simplify]: Simplify 100 into 100
10.492 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
10.492 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.492 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.492 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.492 * [taylor]: Taking taylor expansion of (log n) in n
10.492 * [taylor]: Taking taylor expansion of n in n
10.492 * [backup-simplify]: Simplify 0 into 0
10.492 * [backup-simplify]: Simplify 1 into 1
10.492 * [backup-simplify]: Simplify (log 1) into 0
10.492 * [taylor]: Taking taylor expansion of (log i) in n
10.492 * [taylor]: Taking taylor expansion of i in n
10.492 * [backup-simplify]: Simplify i into i
10.492 * [backup-simplify]: Simplify (log i) into (log i)
10.492 * [taylor]: Taking taylor expansion of n in n
10.492 * [backup-simplify]: Simplify 0 into 0
10.492 * [backup-simplify]: Simplify 1 into 1
10.493 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.493 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.493 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.493 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.493 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.493 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.493 * [taylor]: Taking taylor expansion of n in n
10.493 * [backup-simplify]: Simplify 0 into 0
10.493 * [backup-simplify]: Simplify 1 into 1
10.493 * [backup-simplify]: Simplify (* 1 1) into 1
10.493 * [backup-simplify]: Simplify (* 1 1) into 1
10.493 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.498 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
10.498 * [backup-simplify]: Simplify 0 into 0
10.498 * [backup-simplify]: Simplify (- 0) into 0
10.498 * [backup-simplify]: Simplify (+ 0 0) into 0
10.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
10.499 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
10.499 * [backup-simplify]: Simplify 0 into 0
10.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.501 * [backup-simplify]: Simplify (+ 0 0) into 0
10.508 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
10.509 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
10.510 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
10.510 * [backup-simplify]: Simplify (- 0) into 0
10.511 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
10.513 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
10.514 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
10.515 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
10.515 * [taylor]: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
10.515 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
10.515 * [taylor]: Taking taylor expansion of 50 in n
10.515 * [backup-simplify]: Simplify 50 into 50
10.515 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
10.515 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.515 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.515 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.515 * [taylor]: Taking taylor expansion of (log n) in n
10.515 * [taylor]: Taking taylor expansion of n in n
10.515 * [backup-simplify]: Simplify 0 into 0
10.515 * [backup-simplify]: Simplify 1 into 1
10.516 * [backup-simplify]: Simplify (log 1) into 0
10.516 * [taylor]: Taking taylor expansion of (log i) in n
10.516 * [taylor]: Taking taylor expansion of i in n
10.516 * [backup-simplify]: Simplify i into i
10.516 * [backup-simplify]: Simplify (log i) into (log i)
10.516 * [taylor]: Taking taylor expansion of n in n
10.516 * [backup-simplify]: Simplify 0 into 0
10.516 * [backup-simplify]: Simplify 1 into 1
10.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.517 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.517 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.517 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.517 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.517 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.517 * [taylor]: Taking taylor expansion of n in n
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [backup-simplify]: Simplify 1 into 1
10.517 * [backup-simplify]: Simplify (* 1 1) into 1
10.518 * [backup-simplify]: Simplify (* 1 1) into 1
10.518 * [backup-simplify]: Simplify (* 1 1) into 1
10.518 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.518 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
10.518 * [taylor]: Taking taylor expansion of 50 in n
10.518 * [backup-simplify]: Simplify 50 into 50
10.518 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
10.518 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.518 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.518 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.519 * [taylor]: Taking taylor expansion of (log n) in n
10.519 * [taylor]: Taking taylor expansion of n in n
10.519 * [backup-simplify]: Simplify 0 into 0
10.519 * [backup-simplify]: Simplify 1 into 1
10.519 * [backup-simplify]: Simplify (log 1) into 0
10.519 * [taylor]: Taking taylor expansion of (log i) in n
10.519 * [taylor]: Taking taylor expansion of i in n
10.519 * [backup-simplify]: Simplify i into i
10.519 * [backup-simplify]: Simplify (log i) into (log i)
10.519 * [taylor]: Taking taylor expansion of n in n
10.519 * [backup-simplify]: Simplify 0 into 0
10.519 * [backup-simplify]: Simplify 1 into 1
10.520 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.520 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.520 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.520 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.520 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.520 * [taylor]: Taking taylor expansion of (pow n 4) in n
10.520 * [taylor]: Taking taylor expansion of n in n
10.520 * [backup-simplify]: Simplify 0 into 0
10.520 * [backup-simplify]: Simplify 1 into 1
10.520 * [backup-simplify]: Simplify (* 1 1) into 1
10.521 * [backup-simplify]: Simplify (* 1 1) into 1
10.521 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.540 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
10.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.551 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
10.552 * [backup-simplify]: Simplify (- 0) into 0
10.552 * [backup-simplify]: Simplify (+ 0 0) into 0
10.552 * [backup-simplify]: Simplify 0 into 0
10.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.557 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.558 * [backup-simplify]: Simplify (- 0) into 0
10.558 * [backup-simplify]: Simplify (+ 0 0) into 0
10.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.561 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
10.561 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.564 * [backup-simplify]: Simplify (+ 0 0) into 0
10.569 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
10.570 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
10.572 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
10.572 * [backup-simplify]: Simplify (- 0) into 0
10.573 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
10.576 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
10.578 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
10.580 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
10.581 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
10.581 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
10.581 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
10.581 * [taylor]: Taking taylor expansion of 50/3 in n
10.581 * [backup-simplify]: Simplify 50/3 into 50/3
10.581 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
10.581 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.581 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.581 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.581 * [taylor]: Taking taylor expansion of (log n) in n
10.581 * [taylor]: Taking taylor expansion of n in n
10.581 * [backup-simplify]: Simplify 0 into 0
10.581 * [backup-simplify]: Simplify 1 into 1
10.581 * [backup-simplify]: Simplify (log 1) into 0
10.582 * [taylor]: Taking taylor expansion of (log i) in n
10.582 * [taylor]: Taking taylor expansion of i in n
10.582 * [backup-simplify]: Simplify i into i
10.582 * [backup-simplify]: Simplify (log i) into (log i)
10.582 * [taylor]: Taking taylor expansion of n in n
10.582 * [backup-simplify]: Simplify 0 into 0
10.582 * [backup-simplify]: Simplify 1 into 1
10.582 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.582 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.582 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.582 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.582 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.582 * [taylor]: Taking taylor expansion of (pow n 7) in n
10.582 * [taylor]: Taking taylor expansion of n in n
10.582 * [backup-simplify]: Simplify 0 into 0
10.582 * [backup-simplify]: Simplify 1 into 1
10.583 * [backup-simplify]: Simplify (* 1 1) into 1
10.583 * [backup-simplify]: Simplify (* 1 1) into 1
10.583 * [backup-simplify]: Simplify (* 1 1) into 1
10.584 * [backup-simplify]: Simplify (* 1 1) into 1
10.584 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.584 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
10.584 * [taylor]: Taking taylor expansion of 100/3 in n
10.584 * [backup-simplify]: Simplify 100/3 into 100/3
10.584 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
10.584 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.584 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.584 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.584 * [taylor]: Taking taylor expansion of (log n) in n
10.584 * [taylor]: Taking taylor expansion of n in n
10.584 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify 1 into 1
10.584 * [backup-simplify]: Simplify (log 1) into 0
10.584 * [taylor]: Taking taylor expansion of (log i) in n
10.584 * [taylor]: Taking taylor expansion of i in n
10.584 * [backup-simplify]: Simplify i into i
10.584 * [backup-simplify]: Simplify (log i) into (log i)
10.584 * [taylor]: Taking taylor expansion of n in n
10.584 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify 1 into 1
10.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.585 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.585 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.585 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.585 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.585 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.585 * [taylor]: Taking taylor expansion of n in n
10.585 * [backup-simplify]: Simplify 0 into 0
10.585 * [backup-simplify]: Simplify 1 into 1
10.585 * [backup-simplify]: Simplify (* 1 1) into 1
10.585 * [backup-simplify]: Simplify (* 1 1) into 1
10.586 * [backup-simplify]: Simplify (* 1 1) into 1
10.586 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.586 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
10.586 * [taylor]: Taking taylor expansion of 50 in n
10.586 * [backup-simplify]: Simplify 50 into 50
10.586 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
10.586 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
10.586 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.586 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.586 * [taylor]: Taking taylor expansion of (log n) in n
10.586 * [taylor]: Taking taylor expansion of n in n
10.586 * [backup-simplify]: Simplify 0 into 0
10.586 * [backup-simplify]: Simplify 1 into 1
10.586 * [backup-simplify]: Simplify (log 1) into 0
10.586 * [taylor]: Taking taylor expansion of (log i) in n
10.586 * [taylor]: Taking taylor expansion of i in n
10.586 * [backup-simplify]: Simplify i into i
10.586 * [backup-simplify]: Simplify (log i) into (log i)
10.586 * [taylor]: Taking taylor expansion of n in n
10.586 * [backup-simplify]: Simplify 0 into 0
10.586 * [backup-simplify]: Simplify 1 into 1
10.587 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.587 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.587 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.587 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.587 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
10.587 * [taylor]: Taking taylor expansion of (pow n 6) in n
10.587 * [taylor]: Taking taylor expansion of n in n
10.587 * [backup-simplify]: Simplify 0 into 0
10.587 * [backup-simplify]: Simplify 1 into 1
10.588 * [backup-simplify]: Simplify (* 1 1) into 1
10.588 * [backup-simplify]: Simplify (* 1 1) into 1
10.588 * [backup-simplify]: Simplify (* 1 1) into 1
10.588 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
10.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.629 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
10.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.648 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
10.648 * [backup-simplify]: Simplify (+ 0 0) into 0
10.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
10.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.672 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
10.673 * [backup-simplify]: Simplify (- 0) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.673 * [backup-simplify]: Simplify 0 into 0
10.673 * [backup-simplify]: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
10.674 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) (/ 1 (- n)))) (/ (/ 1 (- i)) (/ 1 (- n))))) into (* 100 (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n))
10.674 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n)) in (i n) around 0
10.674 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n)) in n
10.674 * [taylor]: Taking taylor expansion of 100 in n
10.674 * [backup-simplify]: Simplify 100 into 100
10.674 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in n
10.674 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in n
10.674 * [taylor]: Taking taylor expansion of i in n
10.674 * [backup-simplify]: Simplify i into i
10.674 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in n
10.674 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.674 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in n
10.674 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in n
10.674 * [taylor]: Taking taylor expansion of -1 in n
10.674 * [backup-simplify]: Simplify -1 into -1
10.674 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in n
10.674 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
10.674 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
10.674 * [taylor]: Taking taylor expansion of (/ n i) in n
10.674 * [taylor]: Taking taylor expansion of n in n
10.675 * [backup-simplify]: Simplify 0 into 0
10.675 * [backup-simplify]: Simplify 1 into 1
10.675 * [taylor]: Taking taylor expansion of i in n
10.675 * [backup-simplify]: Simplify i into i
10.675 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
10.675 * [taylor]: Taking taylor expansion of 1 in n
10.675 * [backup-simplify]: Simplify 1 into 1
10.675 * [backup-simplify]: Simplify (+ 0 1) into 1
10.676 * [backup-simplify]: Simplify (log 1) into 0
10.676 * [taylor]: Taking taylor expansion of n in n
10.676 * [backup-simplify]: Simplify 0 into 0
10.676 * [backup-simplify]: Simplify 1 into 1
10.676 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
10.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
10.676 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
10.676 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
10.677 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
10.677 * [taylor]: Taking taylor expansion of 1 in n
10.677 * [backup-simplify]: Simplify 1 into 1
10.677 * [taylor]: Taking taylor expansion of n in n
10.677 * [backup-simplify]: Simplify 0 into 0
10.677 * [backup-simplify]: Simplify 1 into 1
10.677 * [backup-simplify]: Simplify (- 1) into -1
10.677 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1)
10.677 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1))
10.677 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1))
10.677 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n)) in i
10.677 * [taylor]: Taking taylor expansion of 100 in i
10.678 * [backup-simplify]: Simplify 100 into 100
10.678 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in i
10.678 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in i
10.678 * [taylor]: Taking taylor expansion of i in i
10.678 * [backup-simplify]: Simplify 0 into 0
10.678 * [backup-simplify]: Simplify 1 into 1
10.678 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.678 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.678 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.678 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.678 * [taylor]: Taking taylor expansion of -1 in i
10.678 * [backup-simplify]: Simplify -1 into -1
10.678 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.678 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.678 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.678 * [taylor]: Taking taylor expansion of (/ n i) in i
10.678 * [taylor]: Taking taylor expansion of n in i
10.678 * [backup-simplify]: Simplify n into n
10.678 * [taylor]: Taking taylor expansion of i in i
10.678 * [backup-simplify]: Simplify 0 into 0
10.678 * [backup-simplify]: Simplify 1 into 1
10.678 * [backup-simplify]: Simplify (/ n 1) into n
10.678 * [taylor]: Taking taylor expansion of 1 in i
10.678 * [backup-simplify]: Simplify 1 into 1
10.678 * [backup-simplify]: Simplify (+ n 0) into n
10.678 * [backup-simplify]: Simplify (log n) into (log n)
10.678 * [taylor]: Taking taylor expansion of n in i
10.678 * [backup-simplify]: Simplify n into n
10.679 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.679 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.679 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.679 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
10.679 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.679 * [taylor]: Taking taylor expansion of 1 in i
10.679 * [backup-simplify]: Simplify 1 into 1
10.679 * [taylor]: Taking taylor expansion of n in i
10.679 * [backup-simplify]: Simplify n into n
10.680 * [backup-simplify]: Simplify (- 1) into -1
10.680 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.680 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
10.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.681 * [backup-simplify]: Simplify (+ 0 1) into 1
10.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.681 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.682 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
10.682 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.682 * [backup-simplify]: Simplify (- 0) into 0
10.682 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.683 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.683 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
10.683 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n)) in i
10.683 * [taylor]: Taking taylor expansion of 100 in i
10.683 * [backup-simplify]: Simplify 100 into 100
10.683 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) n) in i
10.683 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log (+ (/ n i) 1)) n)))) in i
10.683 * [taylor]: Taking taylor expansion of i in i
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 1 into 1
10.683 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.683 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log (+ (/ n i) 1)) n))) 1)
10.683 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log (+ (/ n i) 1)) n))) in i
10.683 * [taylor]: Taking taylor expansion of (* -1 (/ (log (+ (/ n i) 1)) n)) in i
10.683 * [taylor]: Taking taylor expansion of -1 in i
10.683 * [backup-simplify]: Simplify -1 into -1
10.683 * [taylor]: Taking taylor expansion of (/ (log (+ (/ n i) 1)) n) in i
10.683 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
10.683 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
10.683 * [taylor]: Taking taylor expansion of (/ n i) in i
10.683 * [taylor]: Taking taylor expansion of n in i
10.683 * [backup-simplify]: Simplify n into n
10.683 * [taylor]: Taking taylor expansion of i in i
10.683 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify 1 into 1
10.683 * [backup-simplify]: Simplify (/ n 1) into n
10.683 * [taylor]: Taking taylor expansion of 1 in i
10.683 * [backup-simplify]: Simplify 1 into 1
10.683 * [backup-simplify]: Simplify (+ n 0) into n
10.683 * [backup-simplify]: Simplify (log n) into (log n)
10.683 * [taylor]: Taking taylor expansion of n in i
10.683 * [backup-simplify]: Simplify n into n
10.684 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.684 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
10.684 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
10.684 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
10.684 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.684 * [taylor]: Taking taylor expansion of 1 in i
10.684 * [backup-simplify]: Simplify 1 into 1
10.684 * [taylor]: Taking taylor expansion of n in i
10.684 * [backup-simplify]: Simplify n into n
10.684 * [backup-simplify]: Simplify (- 1) into -1
10.685 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.685 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
10.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
10.686 * [backup-simplify]: Simplify (+ 0 1) into 1
10.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
10.686 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
10.686 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
10.687 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.687 * [backup-simplify]: Simplify (- 0) into 0
10.687 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.687 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.687 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
10.688 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
10.688 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
10.688 * [taylor]: Taking taylor expansion of 100 in n
10.688 * [backup-simplify]: Simplify 100 into 100
10.688 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
10.688 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
10.688 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.688 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.688 * [taylor]: Taking taylor expansion of -1 in n
10.688 * [backup-simplify]: Simplify -1 into -1
10.688 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.688 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.688 * [taylor]: Taking taylor expansion of (log n) in n
10.688 * [taylor]: Taking taylor expansion of n in n
10.688 * [backup-simplify]: Simplify 0 into 0
10.688 * [backup-simplify]: Simplify 1 into 1
10.688 * [backup-simplify]: Simplify (log 1) into 0
10.688 * [taylor]: Taking taylor expansion of (log i) in n
10.688 * [taylor]: Taking taylor expansion of i in n
10.688 * [backup-simplify]: Simplify i into i
10.688 * [backup-simplify]: Simplify (log i) into (log i)
10.688 * [taylor]: Taking taylor expansion of n in n
10.688 * [backup-simplify]: Simplify 0 into 0
10.688 * [backup-simplify]: Simplify 1 into 1
10.689 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.689 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.689 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.689 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.689 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.689 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.689 * [taylor]: Taking taylor expansion of 1 in n
10.689 * [backup-simplify]: Simplify 1 into 1
10.689 * [taylor]: Taking taylor expansion of n in n
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 1 into 1
10.689 * [backup-simplify]: Simplify (- 1) into -1
10.689 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.690 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
10.690 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
10.690 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
10.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.691 * [backup-simplify]: Simplify (+ 0 0) into 0
10.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
10.693 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
10.693 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
10.693 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
10.694 * [backup-simplify]: Simplify (- 0) into 0
10.694 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
10.695 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
10.695 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
10.695 * [backup-simplify]: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
10.695 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
10.695 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
10.695 * [taylor]: Taking taylor expansion of 100 in n
10.695 * [backup-simplify]: Simplify 100 into 100
10.695 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
10.695 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.695 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.696 * [taylor]: Taking taylor expansion of -1 in n
10.696 * [backup-simplify]: Simplify -1 into -1
10.696 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.696 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.696 * [taylor]: Taking taylor expansion of (log n) in n
10.696 * [taylor]: Taking taylor expansion of n in n
10.696 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify 1 into 1
10.696 * [backup-simplify]: Simplify (log 1) into 0
10.696 * [taylor]: Taking taylor expansion of (log i) in n
10.696 * [taylor]: Taking taylor expansion of i in n
10.696 * [backup-simplify]: Simplify i into i
10.696 * [backup-simplify]: Simplify (log i) into (log i)
10.696 * [taylor]: Taking taylor expansion of n in n
10.696 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify 1 into 1
10.696 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.696 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.696 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.697 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.697 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.697 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.697 * [taylor]: Taking taylor expansion of (pow n 3) in n
10.697 * [taylor]: Taking taylor expansion of n in n
10.697 * [backup-simplify]: Simplify 0 into 0
10.697 * [backup-simplify]: Simplify 1 into 1
10.697 * [backup-simplify]: Simplify (* 1 1) into 1
10.697 * [backup-simplify]: Simplify (* 1 1) into 1
10.697 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.702 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
10.702 * [backup-simplify]: Simplify (- 0) into 0
10.702 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify (- 0) into 0
10.702 * [backup-simplify]: Simplify (+ 0 0) into 0
10.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
10.703 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
10.703 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.705 * [backup-simplify]: Simplify (+ 0 0) into 0
10.707 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
10.708 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
10.708 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
10.709 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
10.709 * [backup-simplify]: Simplify (- 0) into 0
10.709 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
10.711 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
10.712 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
10.712 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
10.712 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
10.712 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
10.712 * [taylor]: Taking taylor expansion of 50 in n
10.712 * [backup-simplify]: Simplify 50 into 50
10.712 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
10.712 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.712 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.712 * [taylor]: Taking taylor expansion of -1 in n
10.712 * [backup-simplify]: Simplify -1 into -1
10.712 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.712 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.712 * [taylor]: Taking taylor expansion of (log n) in n
10.712 * [taylor]: Taking taylor expansion of n in n
10.712 * [backup-simplify]: Simplify 0 into 0
10.712 * [backup-simplify]: Simplify 1 into 1
10.713 * [backup-simplify]: Simplify (log 1) into 0
10.713 * [taylor]: Taking taylor expansion of (log i) in n
10.713 * [taylor]: Taking taylor expansion of i in n
10.713 * [backup-simplify]: Simplify i into i
10.713 * [backup-simplify]: Simplify (log i) into (log i)
10.713 * [taylor]: Taking taylor expansion of n in n
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 1 into 1
10.713 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.713 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.713 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.713 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.713 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.714 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.714 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.714 * [taylor]: Taking taylor expansion of n in n
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 1 into 1
10.714 * [backup-simplify]: Simplify (* 1 1) into 1
10.714 * [backup-simplify]: Simplify (* 1 1) into 1
10.715 * [backup-simplify]: Simplify (* 1 1) into 1
10.715 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.715 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
10.715 * [taylor]: Taking taylor expansion of 50 in n
10.715 * [backup-simplify]: Simplify 50 into 50
10.715 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
10.715 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.715 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.715 * [taylor]: Taking taylor expansion of -1 in n
10.715 * [backup-simplify]: Simplify -1 into -1
10.715 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.715 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.715 * [taylor]: Taking taylor expansion of (log n) in n
10.715 * [taylor]: Taking taylor expansion of n in n
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 1 into 1
10.715 * [backup-simplify]: Simplify (log 1) into 0
10.715 * [taylor]: Taking taylor expansion of (log i) in n
10.715 * [taylor]: Taking taylor expansion of i in n
10.715 * [backup-simplify]: Simplify i into i
10.715 * [backup-simplify]: Simplify (log i) into (log i)
10.715 * [taylor]: Taking taylor expansion of n in n
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 1 into 1
10.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.716 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.716 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.716 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.716 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.716 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.716 * [taylor]: Taking taylor expansion of (pow n 4) in n
10.716 * [taylor]: Taking taylor expansion of n in n
10.716 * [backup-simplify]: Simplify 0 into 0
10.716 * [backup-simplify]: Simplify 1 into 1
10.716 * [backup-simplify]: Simplify (* 1 1) into 1
10.717 * [backup-simplify]: Simplify (* 1 1) into 1
10.717 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.729 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
10.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.736 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
10.736 * [backup-simplify]: Simplify (+ 0 0) into 0
10.736 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.740 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
10.740 * [backup-simplify]: Simplify (- 0) into 0
10.740 * [backup-simplify]: Simplify 0 into 0
10.744 * [backup-simplify]: Simplify (- 0) into 0
10.745 * [backup-simplify]: Simplify (+ 0 0) into 0
10.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.746 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
10.746 * [backup-simplify]: Simplify 0 into 0
10.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.749 * [backup-simplify]: Simplify (+ 0 0) into 0
10.754 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
10.755 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
10.755 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow n 5))))) (+ (* 0 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))))) into (* 1/4 (/ 1 (pow n 5)))
10.757 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
10.757 * [backup-simplify]: Simplify (- 0) into 0
10.758 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
10.763 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
10.766 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
10.768 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
10.768 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
10.768 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
10.768 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
10.769 * [taylor]: Taking taylor expansion of 50/3 in n
10.769 * [backup-simplify]: Simplify 50/3 into 50/3
10.769 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
10.769 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.769 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.769 * [taylor]: Taking taylor expansion of -1 in n
10.769 * [backup-simplify]: Simplify -1 into -1
10.769 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.769 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.769 * [taylor]: Taking taylor expansion of (log n) in n
10.769 * [taylor]: Taking taylor expansion of n in n
10.769 * [backup-simplify]: Simplify 0 into 0
10.769 * [backup-simplify]: Simplify 1 into 1
10.769 * [backup-simplify]: Simplify (log 1) into 0
10.769 * [taylor]: Taking taylor expansion of (log i) in n
10.769 * [taylor]: Taking taylor expansion of i in n
10.770 * [backup-simplify]: Simplify i into i
10.770 * [backup-simplify]: Simplify (log i) into (log i)
10.770 * [taylor]: Taking taylor expansion of n in n
10.770 * [backup-simplify]: Simplify 0 into 0
10.770 * [backup-simplify]: Simplify 1 into 1
10.770 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.770 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.770 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.770 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.770 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.770 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.770 * [taylor]: Taking taylor expansion of (pow n 7) in n
10.770 * [taylor]: Taking taylor expansion of n in n
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [backup-simplify]: Simplify (* 1 1) into 1
10.771 * [backup-simplify]: Simplify (* 1 1) into 1
10.771 * [backup-simplify]: Simplify (* 1 1) into 1
10.772 * [backup-simplify]: Simplify (* 1 1) into 1
10.772 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.772 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
10.772 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
10.772 * [taylor]: Taking taylor expansion of 100/3 in n
10.772 * [backup-simplify]: Simplify 100/3 into 100/3
10.772 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
10.772 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.772 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.772 * [taylor]: Taking taylor expansion of -1 in n
10.772 * [backup-simplify]: Simplify -1 into -1
10.772 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.772 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.772 * [taylor]: Taking taylor expansion of (log n) in n
10.772 * [taylor]: Taking taylor expansion of n in n
10.772 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify 1 into 1
10.772 * [backup-simplify]: Simplify (log 1) into 0
10.772 * [taylor]: Taking taylor expansion of (log i) in n
10.772 * [taylor]: Taking taylor expansion of i in n
10.772 * [backup-simplify]: Simplify i into i
10.772 * [backup-simplify]: Simplify (log i) into (log i)
10.772 * [taylor]: Taking taylor expansion of n in n
10.772 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify 1 into 1
10.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.773 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.773 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.773 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.773 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.773 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.773 * [taylor]: Taking taylor expansion of (pow n 5) in n
10.773 * [taylor]: Taking taylor expansion of n in n
10.773 * [backup-simplify]: Simplify 0 into 0
10.773 * [backup-simplify]: Simplify 1 into 1
10.773 * [backup-simplify]: Simplify (* 1 1) into 1
10.774 * [backup-simplify]: Simplify (* 1 1) into 1
10.774 * [backup-simplify]: Simplify (* 1 1) into 1
10.774 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.774 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
10.774 * [taylor]: Taking taylor expansion of 50 in n
10.774 * [backup-simplify]: Simplify 50 into 50
10.774 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
10.774 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
10.774 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
10.774 * [taylor]: Taking taylor expansion of -1 in n
10.774 * [backup-simplify]: Simplify -1 into -1
10.774 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
10.774 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
10.774 * [taylor]: Taking taylor expansion of (log n) in n
10.774 * [taylor]: Taking taylor expansion of n in n
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 1 into 1
10.774 * [backup-simplify]: Simplify (log 1) into 0
10.774 * [taylor]: Taking taylor expansion of (log i) in n
10.774 * [taylor]: Taking taylor expansion of i in n
10.774 * [backup-simplify]: Simplify i into i
10.774 * [backup-simplify]: Simplify (log i) into (log i)
10.774 * [taylor]: Taking taylor expansion of n in n
10.774 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
10.775 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
10.775 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
10.775 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
10.775 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
10.775 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.775 * [taylor]: Taking taylor expansion of (pow n 6) in n
10.775 * [taylor]: Taking taylor expansion of n in n
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [backup-simplify]: Simplify (* 1 1) into 1
10.776 * [backup-simplify]: Simplify (* 1 1) into 1
10.776 * [backup-simplify]: Simplify (* 1 1) into 1
10.776 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
10.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
10.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.802 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
10.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.815 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
10.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
10.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
10.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.833 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
10.834 * [backup-simplify]: Simplify (+ 0 0) into 0
10.834 * [backup-simplify]: Simplify (+ 0 0) into 0
10.834 * [backup-simplify]: Simplify (- 0) into 0
10.834 * [backup-simplify]: Simplify 0 into 0
10.835 * [backup-simplify]: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
10.835 * * * [progress]: simplifying candidates
10.835 * * * * [progress]: [ 1 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (log1p (expm1 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.835 * * * * [progress]: [ 2 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (expm1 (log1p (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.835 * * * * [progress]: [ 3 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) 1)))>
10.835 * * * * [progress]: [ 4 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (- (log i) (log n))))))>
10.835 * * * * [progress]: [ 5 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (log (/ i n))))))>
10.835 * * * * [progress]: [ 6 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.835 * * * * [progress]: [ 7 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.835 * * * * [progress]: [ 8 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (* i i) i) (* (* n n) n))))))>
10.835 * * * * [progress]: [ 9 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (* (* (/ i n) (/ i n)) (/ i n))))))>
10.835 * * * * [progress]: [ 10 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (* (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.835 * * * * [progress]: [ 11 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (* (* (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
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10.841 * * * * [progress]: [ 115 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* n (log (+ 1 (/ i n))))) (/ i n))))>
10.841 * * * * [progress]: [ 116 / 196 ] simplifiying candidate #<alt (λ (i n) (log1p (expm1 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.841 * * * * [progress]: [ 117 / 196 ] simplifiying candidate #<alt (λ (i n) (expm1 (log1p (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.841 * * * * [progress]: [ 118 / 196 ] simplifiying candidate #<alt (λ (i n) (pow (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) 1))>
10.841 * * * * [progress]: [ 119 / 196 ] simplifiying candidate #<alt (λ (i n) (pow (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) 1))>
10.841 * * * * [progress]: [ 120 / 196 ] simplifiying candidate #<alt (λ (i n) (exp (+ (log 100) (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (- (log i) (log n))))))>
10.841 * * * * [progress]: [ 121 / 196 ] simplifiying candidate #<alt (λ (i n) (exp (+ (log 100) (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (log (/ i n))))))>
10.841 * * * * [progress]: [ 122 / 196 ] simplifiying candidate #<alt (λ (i n) (exp (+ (log 100) (log (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.841 * * * * [progress]: [ 123 / 196 ] simplifiying candidate #<alt (λ (i n) (exp (log (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.841 * * * * [progress]: [ 124 / 196 ] simplifiying candidate #<alt (λ (i n) (log (exp (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.841 * * * * [progress]: [ 125 / 196 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (* i i) i) (* (* n n) n))))))>
10.842 * * * * [progress]: [ 126 / 196 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (* (* (/ i n) (/ i n)) (/ i n))))))>
10.842 * * * * [progress]: [ 127 / 196 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (* (* (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.842 * * * * [progress]: [ 128 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))) (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.842 * * * * [progress]: [ 129 / 196 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.842 * * * * [progress]: [ 130 / 196 ] simplifiying candidate #<alt (λ (i n) (* (sqrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (sqrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.842 * * * * [progress]: [ 131 / 196 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.842 * * * * [progress]: [ 132 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (* (sqrt 100) (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.842 * * * * [progress]: [ 133 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))) (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n))))))>
10.842 * * * * [progress]: [ 134 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))) (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n))))))>
10.842 * * * * [progress]: [ 135 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (* (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.842 * * * * [progress]: [ 136 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.842 * * * * [progress]: [ 137 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (/ i n)))))>
10.842 * * * * [progress]: [ 138 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (sqrt (/ i n)))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))))>
10.842 * * * * [progress]: [ 139 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (cbrt n)))))>
10.843 * * * * [progress]: [ 140 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (sqrt n)))))>
10.843 * * * * [progress]: [ 141 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) 1))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) n))))>
10.843 * * * * [progress]: [ 142 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (cbrt n)))))>
10.843 * * * * [progress]: [ 143 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (sqrt n)))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))))>
10.843 * * * * [progress]: [ 144 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) 1))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) n))))>
10.843 * * * * [progress]: [ 145 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (* (cbrt n) (cbrt n))))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (cbrt n)))))>
10.843 * * * * [progress]: [ 146 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (sqrt n)))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (sqrt n)))))>
10.843 * * * * [progress]: [ 147 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 1))) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))))>
10.843 * * * * [progress]: [ 148 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) 1)) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))))>
10.843 * * * * [progress]: [ 149 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) i)) (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 n))))>
10.843 * * * * [progress]: [ 150 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (/ i n)))))>
10.843 * * * * [progress]: [ 151 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))))>
10.843 * * * * [progress]: [ 152 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (cbrt n)))))>
10.843 * * * * [progress]: [ 153 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (sqrt n)))))>
10.844 * * * * [progress]: [ 154 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) 1))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) n))))>
10.844 * * * * [progress]: [ 155 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (cbrt n)))))>
10.844 * * * * [progress]: [ 156 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))))>
10.844 * * * * [progress]: [ 157 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) 1))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) n))))>
10.844 * * * * [progress]: [ 158 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (* (cbrt n) (cbrt n))))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (cbrt n)))))>
10.844 * * * * [progress]: [ 159 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (sqrt n)))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (sqrt n)))))>
10.844 * * * * [progress]: [ 160 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 1))) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))))>
10.844 * * * * [progress]: [ 161 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) 1)) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))))>
10.844 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) i)) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 n))))>
10.844 * * * * [progress]: [ 163 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (cbrt (/ i n)))))>
10.844 * * * * [progress]: [ 164 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (sqrt (/ i n)))))>
10.844 * * * * [progress]: [ 165 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) (cbrt n)))))>
10.844 * * * * [progress]: [ 166 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) (sqrt n)))))>
10.844 * * * * [progress]: [ 167 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) n))))>
10.844 * * * * [progress]: [ 168 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (cbrt n)))))>
10.845 * * * * [progress]: [ 169 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (sqrt n)))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (sqrt n)))))>
10.845 * * * * [progress]: [ 170 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) 1))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) n))))>
10.845 * * * * [progress]: [ 171 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i (cbrt n)))))>
10.845 * * * * [progress]: [ 172 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (sqrt n)))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i (sqrt n)))))>
10.845 * * * * [progress]: [ 173 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 1))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))>
10.845 * * * * [progress]: [ 174 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 1)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))>
10.845 * * * * [progress]: [ 175 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 i)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ 1 n))))>
10.845 * * * * [progress]: [ 176 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 1) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))>
10.845 * * * * [progress]: [ 177 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (/ i n))))>
10.845 * * * * [progress]: [ 178 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) i)) n))>
10.845 * * * * [progress]: [ 179 / 196 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (cbrt 100) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.845 * * * * [progress]: [ 180 / 196 ] simplifiying candidate #<alt (λ (i n) (* (sqrt 100) (* (sqrt 100) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.845 * * * * [progress]: [ 181 / 196 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))>
10.845 * * * * [progress]: [ 182 / 196 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n)))>
10.845 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #<alt (λ (i n) (posit16->real (real->posit16 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))))>
10.845 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #<alt (λ (i n) (* (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) 100))>
10.845 * * * * [progress]: [ 185 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 0))>
10.845 * * * * [progress]: [ 186 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
10.845 * * * * [progress]: [ 187 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
10.845 * * * * [progress]: [ 188 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* 0 n)) (/ i n))))>
10.845 * * * * [progress]: [ 189 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* (- (log (/ 1 n)) (log (/ 1 i))) n)) (/ i n))))>
10.845 * * * * [progress]: [ 190 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)) (/ i n))))>
10.845 * * * * [progress]: [ 191 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))>
10.845 * * * * [progress]: [ 192 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 0) (/ i n))))>
10.845 * * * * [progress]: [ 193 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 0) (/ i n))))>
10.845 * * * * [progress]: [ 194 / 196 ] simplifiying candidate #<alt (λ (i n) 0)>
10.845 * * * * [progress]: [ 195 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
10.846 * * * * [progress]: [ 196 / 196 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
10.854 * [simplify]: Simplifying:
  (expm1 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (log1p (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (- (log i) (log n)))
  (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (log (/ i n)))
  (log (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (exp (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (* (* (/ i n) (/ i n)) (/ i n)))
  (* (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (* (* (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (- (expm1 (* (log (+ 1 (/ i n))) n)))
  (- (/ i n))
  (/ (exp (* (log (+ 1 (/ i n))) n)) (/ i n))
  (/ 1 (/ i n))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (/ i n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (sqrt (/ i n)))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (cbrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (sqrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) n))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (cbrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (sqrt n)))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) 1))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) n))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (cbrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (sqrt n)))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (sqrt n)))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 1))
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) 1)
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))
  (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) i)
  (/ (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 n))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (/ i n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (cbrt i) n))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) 1))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) n))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (cbrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i (sqrt n)))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 1))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) 1)
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ i n))
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) i)
  (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 n))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (sqrt (/ i n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) (cbrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) (sqrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (cbrt i) n))
  (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (cbrt n)))
  (/ 1 (/ (sqrt i) (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (sqrt n)))
  (/ 1 (/ (sqrt i) 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) n))
  (/ 1 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i (cbrt n)))
  (/ 1 (/ 1 (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i (sqrt n)))
  (/ 1 (/ 1 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))
  (/ 1 1)
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))
  (/ 1 i)
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ 1 n))
  (/ 1 (/ i n))
  (/ (/ i n) (expm1 (* (log (+ 1 (/ i n))) n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (sqrt (/ i n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ (sqrt i) 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ 1 (sqrt n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ 1 1))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) 1)
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) i)
  (/ (/ i n) (cbrt (expm1 (* (log (+ 1 (/ i n))) n))))
  (/ (/ i n) (sqrt (expm1 (* (log (+ 1 (/ i n))) n))))
  (/ (/ i n) (expm1 (* (log (+ 1 (/ i n))) n)))
  (/ (expm1 (* (log (+ 1 (/ i n))) n)) i)
  (real->posit16 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (expm1 (log (+ 1 (/ i n))))
  (log1p (log (+ 1 (/ i n))))
  (log (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))))
  (log (cbrt (+ 1 (/ i n))))
  (log (sqrt (+ 1 (/ i n))))
  (log (sqrt (+ 1 (/ i n))))
  (log 1)
  (log (+ 1 (/ i n)))
  (log 1)
  (log (+ 1 (/ i n)))
  (log (+ (pow 1 3) (pow (/ i n) 3)))
  (log (+ (* 1 1) (- (* (/ i n) (/ i n)) (* 1 (/ i n)))))
  (log (- (* 1 1) (* (/ i n) (/ i n))))
  (log (- 1 (/ i n)))
  (log (+ 1 (/ i n)))
  (log (log (+ 1 (/ i n))))
  (exp (log (+ 1 (/ i n))))
  (* (cbrt (log (+ 1 (/ i n)))) (cbrt (log (+ 1 (/ i n)))))
  (cbrt (log (+ 1 (/ i n))))
  (* (* (log (+ 1 (/ i n))) (log (+ 1 (/ i n)))) (log (+ 1 (/ i n))))
  (sqrt (log (+ 1 (/ i n))))
  (sqrt (log (+ 1 (/ i n))))
  (real->posit16 (log (+ 1 (/ i n))))
  (expm1 (* (log (+ 1 (/ i n))) n))
  (log1p (* (log (+ 1 (/ i n))) n))
  (* (log (+ 1 (/ i n))) n)
  (+ (log (log (+ 1 (/ i n)))) (log n))
  (log (* (log (+ 1 (/ i n))) n))
  (exp (* (log (+ 1 (/ i n))) n))
  (* (* (* (log (+ 1 (/ i n))) (log (+ 1 (/ i n)))) (log (+ 1 (/ i n)))) (* (* n n) n))
  (* (cbrt (* (log (+ 1 (/ i n))) n)) (cbrt (* (log (+ 1 (/ i n))) n)))
  (cbrt (* (log (+ 1 (/ i n))) n))
  (* (* (* (log (+ 1 (/ i n))) n) (* (log (+ 1 (/ i n))) n)) (* (log (+ 1 (/ i n))) n))
  (sqrt (* (log (+ 1 (/ i n))) n))
  (sqrt (* (log (+ 1 (/ i n))) n))
  (* (sqrt (log (+ 1 (/ i n)))) (sqrt n))
  (* (sqrt (log (+ 1 (/ i n)))) (sqrt n))
  (* (log (+ 1 (/ i n))) (* (cbrt n) (cbrt n)))
  (* (log (+ 1 (/ i n))) (sqrt n))
  (* (log (+ 1 (/ i n))) 1)
  (* (log (+ 1 (/ i n))) n)
  (* (cbrt (log (+ 1 (/ i n)))) n)
  (* (sqrt (log (+ 1 (/ i n)))) n)
  (* (log (+ 1 (/ i n))) n)
  (real->posit16 (* (log (+ 1 (/ i n))) n))
  (expm1 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (log1p (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (+ (log 100) (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (- (log i) (log n))))
  (+ (log 100) (- (log (expm1 (* (log (+ 1 (/ i n))) n))) (log (/ i n))))
  (+ (log 100) (log (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (log (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (exp (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (* i i) i) (* (* n n) n))))
  (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log (+ 1 (/ i n))) n)) (expm1 (* (log (+ 1 (/ i n))) n))) (expm1 (* (log (+ 1 (/ i n))) n))) (* (* (/ i n) (/ i n)) (/ i n))))
  (* (* (* 100 100) 100) (* (* (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))
  (cbrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (* (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))) (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (sqrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (sqrt (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (sqrt 100) (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (sqrt 100) (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n))))
  (* 100 (* (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))) (cbrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))))
  (* 100 (sqrt (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (sqrt (/ i n))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ (sqrt i) 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) (/ 1 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) 1))
  (* 100 (/ (* (cbrt (expm1 (* (log (+ 1 (/ i n))) n))) (cbrt (expm1 (* (log (+ 1 (/ i n))) n)))) i))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (sqrt (/ i n))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ (sqrt i) 1)))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) (/ 1 1)))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) 1))
  (* 100 (/ (sqrt (expm1 (* (log (+ 1 (/ i n))) n))) i))
  (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ 1 (sqrt (/ i n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (sqrt i) (sqrt n))))
  (* 100 (/ 1 (/ (sqrt i) 1)))
  (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ 1 (sqrt n))))
  (* 100 (/ 1 (/ 1 1)))
  (* 100 (/ 1 1))
  (* 100 (/ 1 i))
  (* 100 1)
  (* 100 (expm1 (* (log (+ 1 (/ i n))) n)))
  (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) i))
  (* (cbrt 100) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (* (sqrt 100) (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n)))
  (* 100 (expm1 (* (log (+ 1 (/ i n))) n)))
  (real->posit16 (* 100 (/ (expm1 (* (log (+ 1 (/ i n))) n)) (/ i n))))
  0
  (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
  (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
  0
  (- (log (/ 1 n)) (log (/ 1 i)))
  (- (log (/ -1 n)) (log (/ -1 i)))
  i
  0
  0
  0
  (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
  (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
10.858 * * [simplify]: iteration 0: 297 enodes
10.986 * * [simplify]: iteration 1: 782 enodes
11.378 * * [simplify]: iteration 2: 2558 enodes
12.216 * * [simplify]: iteration complete: 5001 enodes
12.217 * * [simplify]: Extracting #0: cost 192 inf + 0
12.220 * * [simplify]: Extracting #1: cost 1109 inf + 4
12.230 * * [simplify]: Extracting #2: cost 1711 inf + 8711
12.245 * * [simplify]: Extracting #3: cost 1648 inf + 39335
12.261 * * [simplify]: Extracting #4: cost 1332 inf + 94404
12.295 * * [simplify]: Extracting #5: cost 899 inf + 232581
12.386 * * [simplify]: Extracting #6: cost 149 inf + 527436
12.494 * * [simplify]: Extracting #7: cost 4 inf + 588672
12.615 * * [simplify]: Extracting #8: cost 0 inf + 590735
12.752 * [simplify]: Simplified to:
  (expm1 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (log1p (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (log (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (log (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (log (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (exp (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (* (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (- (expm1 (* n (log1p (/ i n)))))
  (- (/ i n))
  (/ (exp (* n (log1p (/ i n)))) (/ i n))
  (/ n i)
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n)))
  (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n)))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (cbrt n))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (cbrt n))))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (cbrt n))
  (* (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i))) (sqrt n))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (sqrt n)))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) n)
  (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (* (cbrt n) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (sqrt i)))
  (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (/ (sqrt i) (sqrt n)))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n)))
  (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt i))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) n))
  (* (* (cbrt n) (cbrt n)) (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))))
  (* (cbrt n) (/ (cbrt (expm1 (* n (log1p (/ i n))))) i))
  (* (sqrt n) (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i (sqrt n)))
  (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i n))
  (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))
  (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i n))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) i) (cbrt (expm1 (* n (log1p (/ i n))))))
  (* (cbrt (expm1 (* n (log1p (/ i n))))) n)
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (cbrt n))
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ (sqrt n) (cbrt i)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt i) (cbrt i)))
  (/ (* n (sqrt (expm1 (* n (log1p (/ i n)))))) (cbrt i))
  (/ (* (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt n) (cbrt n))) (sqrt i))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt i))
  (* n (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt i)))
  (* (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt n) (cbrt n)))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i (cbrt n)))
  (* (sqrt n) (sqrt (expm1 (* n (log1p (/ i n))))))
  (* (sqrt n) (/ (sqrt (expm1 (* n (log1p (/ i n))))) i))
  (sqrt (expm1 (* n (log1p (/ i n)))))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i n))
  (sqrt (expm1 (* n (log1p (/ i n)))))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i n))
  (/ (sqrt (expm1 (* n (log1p (/ i n))))) i)
  (* n (sqrt (expm1 (* n (log1p (/ i n))))))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n)))
  (/ (* (cbrt n) (cbrt n)) (* (cbrt i) (cbrt i)))
  (/ (expm1 (* n (log1p (/ i n)))) (/ (cbrt i) (cbrt n)))
  (/ (sqrt n) (* (cbrt i) (cbrt i)))
  (* (/ (expm1 (* n (log1p (/ i n)))) (cbrt i)) (sqrt n))
  (/ (/ 1 (cbrt i)) (cbrt i))
  (/ (* (expm1 (* n (log1p (/ i n)))) n) (cbrt i))
  (/ (* (cbrt n) (cbrt n)) (sqrt i))
  (/ (expm1 (* n (log1p (/ i n)))) (/ (sqrt i) (cbrt n)))
  (/ (sqrt n) (sqrt i))
  (/ (* (sqrt n) (expm1 (* n (log1p (/ i n))))) (sqrt i))
  (/ 1 (sqrt i))
  (* n (/ (expm1 (* n (log1p (/ i n)))) (sqrt i)))
  (* (cbrt n) (cbrt n))
  (/ (* (expm1 (* n (log1p (/ i n)))) (cbrt n)) i)
  (sqrt n)
  (/ (expm1 (* n (log1p (/ i n)))) (/ i (sqrt n)))
  1
  (/ (expm1 (* n (log1p (/ i n)))) (/ i n))
  1
  (/ (expm1 (* n (log1p (/ i n)))) (/ i n))
  (/ 1 i)
  (* (expm1 (* n (log1p (/ i n)))) n)
  (/ n i)
  (/ (/ i n) (expm1 (* n (log1p (/ i n)))))
  (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n)))
  (/ (expm1 (* n (log1p (/ i n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (sqrt n) (cbrt i)) (/ (expm1 (* n (log1p (/ i n)))) (cbrt i)))
  (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i)))
  (/ (* (expm1 (* n (log1p (/ i n)))) (* (cbrt n) (cbrt n))) (sqrt i))
  (/ (* (sqrt n) (expm1 (* n (log1p (/ i n))))) (sqrt i))
  (/ (expm1 (* n (log1p (/ i n)))) (sqrt i))
  (* (expm1 (* n (log1p (/ i n)))) (* (cbrt n) (cbrt n)))
  (* (sqrt n) (expm1 (* n (log1p (/ i n)))))
  (expm1 (* n (log1p (/ i n))))
  (expm1 (* n (log1p (/ i n))))
  (/ (expm1 (* n (log1p (/ i n)))) i)
  (/ (/ i n) (cbrt (expm1 (* n (log1p (/ i n))))))
  (/ (/ i n) (sqrt (expm1 (* n (log1p (/ i n))))))
  (/ (/ i n) (expm1 (* n (log1p (/ i n)))))
  (/ (expm1 (* n (log1p (/ i n)))) i)
  (real->posit16 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (/ i n)
  (log1p (log1p (/ i n)))
  (log (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))))
  (log (cbrt (+ (/ i n) 1)))
  (log (sqrt (+ (/ i n) 1)))
  (log (sqrt (+ (/ i n) 1)))
  0
  (log1p (/ i n))
  0
  (log1p (/ i n))
  (log (fma (/ i n) (* (/ i n) (/ i n)) 1))
  (log (- (fma (/ i n) (/ i n) 1) (/ i n)))
  (log (- 1 (* (/ i n) (/ i n))))
  (log (- 1 (/ i n)))
  (log1p (/ i n))
  (log (log1p (/ i n)))
  (+ (/ i n) 1)
  (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))
  (cbrt (log1p (/ i n)))
  (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (real->posit16 (log1p (/ i n)))
  (expm1 (* n (log1p (/ i n))))
  (log1p (* n (log1p (/ i n))))
  (* n (log1p (/ i n)))
  (log (* n (log1p (/ i n))))
  (log (* n (log1p (/ i n))))
  (exp (* n (log1p (/ i n))))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* n (log1p (/ i n))))
  (* (cbrt (* n (log1p (/ i n)))) (cbrt (* n (log1p (/ i n)))))
  (cbrt (* n (log1p (/ i n))))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* n (log1p (/ i n))))
  (sqrt (* n (log1p (/ i n))))
  (sqrt (* n (log1p (/ i n))))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (* (cbrt n) (log1p (/ i n))) (cbrt n))
  (* (log1p (/ i n)) (sqrt n))
  (log1p (/ i n))
  (* n (log1p (/ i n)))
  (* n (cbrt (log1p (/ i n))))
  (* n (sqrt (log1p (/ i n))))
  (* n (log1p (/ i n)))
  (real->posit16 (* n (log1p (/ i n))))
  (expm1 (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (log1p (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))
  (log (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (log (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (log (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (log (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (exp (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (* (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) 1000000))
  (* (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) (* (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) 1000000))
  (* (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) (* (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))))
  (* (cbrt (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))) (cbrt (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))))
  (cbrt (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (* (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) (* (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))))
  (sqrt (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (sqrt (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  (* (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) 10)
  (* (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) 10)
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) 10)
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) 10)
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n))) 10)
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n))) 10)
  (* (* 100 (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (* 100 (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))
  (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) 100))
  (* (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n))) 100)
  (* 100 (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (cbrt n))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ (cbrt i) (cbrt n)))))
  (* (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i))) (* (sqrt n) 100))
  (* (* (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt i))) 100)
  (* (/ (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100) (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (/ (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100) (sqrt i)) (sqrt n))
  (/ 100 (/ (sqrt i) (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))))
  (* 100 (* (* (cbrt n) (cbrt n)) (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))))
  (* 100 (* (sqrt n) (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))))
  (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100)
  (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100)
  (/ (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100) i)
  (* (/ 100 (cbrt (/ i n))) (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))))
  (/ (* 100 (sqrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n)))
  (/ 100 (/ (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))) (sqrt (expm1 (* n (log1p (/ i n)))))))
  (* (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt i)) (/ 100 (cbrt i))) (sqrt n))
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt i) (cbrt i))) 100)
  (/ (* 100 (sqrt (expm1 (* n (log1p (/ i n)))))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ (sqrt i) (sqrt n))) 100)
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt i)) 100)
  (* (* (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt n) (cbrt n))) 100)
  (* (* 100 (sqrt (expm1 (* n (log1p (/ i n)))))) (sqrt n))
  (* 100 (sqrt (expm1 (* n (log1p (/ i n))))))
  (* 100 (sqrt (expm1 (* n (log1p (/ i n))))))
  (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) i) 100)
  (/ (/ 100 (cbrt (/ i n))) (cbrt (/ i n)))
  (/ 100 (sqrt (/ i n)))
  (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (/ 100 (cbrt i)) (cbrt i)) (sqrt n))
  (/ (/ 100 (cbrt i)) (cbrt i))
  (* (/ 100 (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (/ (sqrt n) (sqrt i)) 100)
  (/ 100 (sqrt i))
  (* (* 100 (cbrt n)) (cbrt n))
  (* (sqrt n) 100)
  100
  100
  (/ 100 i)
  100
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (/ (* 100 (expm1 (* n (log1p (/ i n))))) i)
  (/ (cbrt 100) (/ (/ i n) (expm1 (* n (log1p (/ i n))))))
  (* 10 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))
  (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (real->posit16 (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)))
  0
  (/ (expm1 (* n (log (/ i n)))) (/ i n))
  (* (/ n i) (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)))
  0
  (log (/ i n))
  (- (log (/ -1 n)) (log (/ -1 i)))
  i
  0
  0
  0
  (* 100 (/ (expm1 (* n (log (/ i n)))) (/ i n)))
  (* (* (/ n i) (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n))) 100)
12.776 * * * [progress]: adding candidates to table
13.861 * * [progress]: iteration 3 / 4
13.861 * * * [progress]: picking best candidate
13.910 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))>
13.911 * * * [progress]: localizing error
13.929 * * * [progress]: generating rewritten candidates
13.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
13.944 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
13.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
13.958 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
14.011 * * * [progress]: generating series expansions
14.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
14.011 * [backup-simplify]: Simplify (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) into (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)
14.011 * [approximate]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in (i n) around 0
14.011 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in n
14.011 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in n
14.011 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in n
14.011 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.011 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n
14.011 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
14.011 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
14.012 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.012 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
14.012 * [taylor]: Taking taylor expansion of 1 in n
14.012 * [backup-simplify]: Simplify 1 into 1
14.012 * [taylor]: Taking taylor expansion of (/ i n) in n
14.012 * [taylor]: Taking taylor expansion of i in n
14.012 * [backup-simplify]: Simplify i into i
14.012 * [taylor]: Taking taylor expansion of n in n
14.012 * [backup-simplify]: Simplify 0 into 0
14.012 * [backup-simplify]: Simplify 1 into 1
14.012 * [backup-simplify]: Simplify (/ i 1) into i
14.012 * [backup-simplify]: Simplify (+ 0 i) into i
14.012 * [backup-simplify]: Simplify (log i) into (log i)
14.012 * [taylor]: Taking taylor expansion of n in n
14.012 * [backup-simplify]: Simplify 0 into 0
14.012 * [backup-simplify]: Simplify 1 into 1
14.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.013 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
14.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
14.015 * [backup-simplify]: Simplify (+ 1 0) into 1
14.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
14.016 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
14.016 * [backup-simplify]: Simplify (exp 0) into 1
14.016 * [taylor]: Taking taylor expansion of 1 in n
14.016 * [backup-simplify]: Simplify 1 into 1
14.016 * [taylor]: Taking taylor expansion of n in n
14.016 * [backup-simplify]: Simplify 0 into 0
14.016 * [backup-simplify]: Simplify 1 into 1
14.016 * [taylor]: Taking taylor expansion of i in n
14.016 * [backup-simplify]: Simplify i into i
14.016 * [backup-simplify]: Simplify (- 1) into -1
14.017 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.017 * [backup-simplify]: Simplify (* 0 0) into 0
14.018 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
14.018 * [backup-simplify]: Simplify (- 0) into 0
14.018 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
14.018 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
14.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.021 * [backup-simplify]: Simplify (+ 0 0) into 0
14.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
14.023 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i)
14.023 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
14.023 * [backup-simplify]: Simplify (- 0) into 0
14.024 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
14.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n))
14.025 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
14.025 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
14.026 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
14.026 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
14.026 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.026 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
14.026 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.026 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.026 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.026 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.026 * [taylor]: Taking taylor expansion of 1 in i
14.026 * [backup-simplify]: Simplify 1 into 1
14.026 * [taylor]: Taking taylor expansion of (/ i n) in i
14.026 * [taylor]: Taking taylor expansion of i in i
14.026 * [backup-simplify]: Simplify 0 into 0
14.026 * [backup-simplify]: Simplify 1 into 1
14.026 * [taylor]: Taking taylor expansion of n in i
14.026 * [backup-simplify]: Simplify n into n
14.026 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.027 * [backup-simplify]: Simplify (+ 1 0) into 1
14.027 * [backup-simplify]: Simplify (log 1) into 0
14.027 * [taylor]: Taking taylor expansion of n in i
14.027 * [backup-simplify]: Simplify n into n
14.027 * [backup-simplify]: Simplify (* 0 n) into 0
14.027 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.028 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
14.028 * [backup-simplify]: Simplify (exp 0) into 1
14.028 * [taylor]: Taking taylor expansion of 1 in i
14.028 * [backup-simplify]: Simplify 1 into 1
14.028 * [taylor]: Taking taylor expansion of n in i
14.028 * [backup-simplify]: Simplify n into n
14.028 * [taylor]: Taking taylor expansion of i in i
14.028 * [backup-simplify]: Simplify 0 into 0
14.028 * [backup-simplify]: Simplify 1 into 1
14.029 * [backup-simplify]: Simplify (- 1) into -1
14.029 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.029 * [backup-simplify]: Simplify (* 0 n) into 0
14.030 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.031 * [backup-simplify]: Simplify (- 0) into 0
14.031 * [backup-simplify]: Simplify (+ 1 0) into 1
14.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
14.031 * [backup-simplify]: Simplify (/ n 1) into n
14.032 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
14.032 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
14.032 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
14.032 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.032 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
14.032 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.032 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.032 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.032 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.032 * [taylor]: Taking taylor expansion of 1 in i
14.032 * [backup-simplify]: Simplify 1 into 1
14.032 * [taylor]: Taking taylor expansion of (/ i n) in i
14.032 * [taylor]: Taking taylor expansion of i in i
14.032 * [backup-simplify]: Simplify 0 into 0
14.032 * [backup-simplify]: Simplify 1 into 1
14.032 * [taylor]: Taking taylor expansion of n in i
14.032 * [backup-simplify]: Simplify n into n
14.032 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.033 * [backup-simplify]: Simplify (+ 1 0) into 1
14.033 * [backup-simplify]: Simplify (log 1) into 0
14.033 * [taylor]: Taking taylor expansion of n in i
14.033 * [backup-simplify]: Simplify n into n
14.033 * [backup-simplify]: Simplify (* 0 n) into 0
14.033 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.034 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
14.034 * [backup-simplify]: Simplify (exp 0) into 1
14.034 * [taylor]: Taking taylor expansion of 1 in i
14.034 * [backup-simplify]: Simplify 1 into 1
14.034 * [taylor]: Taking taylor expansion of n in i
14.034 * [backup-simplify]: Simplify n into n
14.034 * [taylor]: Taking taylor expansion of i in i
14.034 * [backup-simplify]: Simplify 0 into 0
14.034 * [backup-simplify]: Simplify 1 into 1
14.035 * [backup-simplify]: Simplify (- 1) into -1
14.035 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.035 * [backup-simplify]: Simplify (* 0 n) into 0
14.036 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.037 * [backup-simplify]: Simplify (- 0) into 0
14.037 * [backup-simplify]: Simplify (+ 1 0) into 1
14.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
14.037 * [backup-simplify]: Simplify (/ n 1) into n
14.038 * [taylor]: Taking taylor expansion of n in n
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify 1 into 1
14.038 * [backup-simplify]: Simplify 0 into 0
14.038 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
14.038 * [backup-simplify]: Simplify (+ 0 0) into 0
14.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
14.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
14.041 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
14.042 * [backup-simplify]: Simplify (- 0) into 0
14.042 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
14.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
14.043 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
14.043 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
14.044 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
14.044 * [taylor]: Taking taylor expansion of 1/2 in n
14.044 * [backup-simplify]: Simplify 1/2 into 1/2
14.044 * [taylor]: Taking taylor expansion of n in n
14.044 * [backup-simplify]: Simplify 0 into 0
14.044 * [backup-simplify]: Simplify 1 into 1
14.044 * [taylor]: Taking taylor expansion of 1/2 in n
14.044 * [backup-simplify]: Simplify 1/2 into 1/2
14.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.045 * [backup-simplify]: Simplify (- 0) into 0
14.045 * [backup-simplify]: Simplify (+ 0 0) into 0
14.045 * [backup-simplify]: Simplify 0 into 0
14.045 * [backup-simplify]: Simplify 0 into 0
14.046 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
14.046 * [backup-simplify]: Simplify (+ 0 0) into 0
14.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
14.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
14.051 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
14.052 * [backup-simplify]: Simplify (- 0) into 0
14.052 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
14.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
14.055 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
14.055 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n
14.055 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n
14.056 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
14.056 * [taylor]: Taking taylor expansion of 1/6 in n
14.056 * [backup-simplify]: Simplify 1/6 into 1/6
14.056 * [taylor]: Taking taylor expansion of n in n
14.056 * [backup-simplify]: Simplify 0 into 0
14.056 * [backup-simplify]: Simplify 1 into 1
14.056 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n
14.056 * [taylor]: Taking taylor expansion of 1/3 in n
14.056 * [backup-simplify]: Simplify 1/3 into 1/3
14.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.056 * [taylor]: Taking taylor expansion of n in n
14.056 * [backup-simplify]: Simplify 0 into 0
14.056 * [backup-simplify]: Simplify 1 into 1
14.056 * [backup-simplify]: Simplify (/ 1 1) into 1
14.056 * [taylor]: Taking taylor expansion of 1/2 in n
14.056 * [backup-simplify]: Simplify 1/2 into 1/2
14.057 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
14.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.062 * [backup-simplify]: Simplify (+ 0 0) into 0
14.062 * [backup-simplify]: Simplify (- 0) into 0
14.063 * [backup-simplify]: Simplify (+ 0 0) into 0
14.063 * [backup-simplify]: Simplify 0 into 0
14.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.064 * [backup-simplify]: Simplify (- 0) into 0
14.065 * [backup-simplify]: Simplify (+ 0 0) into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify 0 into 0
14.065 * [backup-simplify]: Simplify (/ (expm1 (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n))) (/ (/ 1 i) (/ 1 n))) into (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)
14.065 * [approximate]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in (i n) around 0
14.065 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in n
14.065 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in n
14.065 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in n
14.065 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.065 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n
14.065 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.066 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.066 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.066 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.066 * [taylor]: Taking taylor expansion of 1 in n
14.066 * [backup-simplify]: Simplify 1 into 1
14.066 * [taylor]: Taking taylor expansion of (/ n i) in n
14.066 * [taylor]: Taking taylor expansion of n in n
14.066 * [backup-simplify]: Simplify 0 into 0
14.066 * [backup-simplify]: Simplify 1 into 1
14.066 * [taylor]: Taking taylor expansion of i in n
14.066 * [backup-simplify]: Simplify i into i
14.066 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.066 * [backup-simplify]: Simplify (+ 1 0) into 1
14.067 * [backup-simplify]: Simplify (log 1) into 0
14.067 * [taylor]: Taking taylor expansion of n in n
14.067 * [backup-simplify]: Simplify 0 into 0
14.067 * [backup-simplify]: Simplify 1 into 1
14.067 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.068 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.068 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
14.068 * [taylor]: Taking taylor expansion of 1 in n
14.068 * [backup-simplify]: Simplify 1 into 1
14.068 * [taylor]: Taking taylor expansion of i in n
14.068 * [backup-simplify]: Simplify i into i
14.068 * [taylor]: Taking taylor expansion of n in n
14.068 * [backup-simplify]: Simplify 0 into 0
14.068 * [backup-simplify]: Simplify 1 into 1
14.068 * [backup-simplify]: Simplify (- 1) into -1
14.069 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
14.069 * [backup-simplify]: Simplify (* (- (exp (/ 1 i)) 1) i) into (* (- (exp (/ 1 i)) 1) i)
14.069 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
14.069 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
14.069 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
14.069 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
14.069 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.069 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
14.069 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.069 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.069 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.069 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.069 * [taylor]: Taking taylor expansion of 1 in i
14.069 * [backup-simplify]: Simplify 1 into 1
14.069 * [taylor]: Taking taylor expansion of (/ n i) in i
14.069 * [taylor]: Taking taylor expansion of n in i
14.069 * [backup-simplify]: Simplify n into n
14.069 * [taylor]: Taking taylor expansion of i in i
14.069 * [backup-simplify]: Simplify 0 into 0
14.070 * [backup-simplify]: Simplify 1 into 1
14.070 * [backup-simplify]: Simplify (/ n 1) into n
14.070 * [backup-simplify]: Simplify (+ 0 n) into n
14.070 * [backup-simplify]: Simplify (log n) into (log n)
14.070 * [taylor]: Taking taylor expansion of n in i
14.070 * [backup-simplify]: Simplify n into n
14.070 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.071 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.071 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.071 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.071 * [taylor]: Taking taylor expansion of 1 in i
14.071 * [backup-simplify]: Simplify 1 into 1
14.071 * [taylor]: Taking taylor expansion of i in i
14.071 * [backup-simplify]: Simplify 0 into 0
14.071 * [backup-simplify]: Simplify 1 into 1
14.071 * [taylor]: Taking taylor expansion of n in i
14.071 * [backup-simplify]: Simplify n into n
14.072 * [backup-simplify]: Simplify (- 1) into -1
14.072 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.072 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
14.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.073 * [backup-simplify]: Simplify (+ 1 0) into 1
14.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.075 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.075 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.075 * [backup-simplify]: Simplify (- 0) into 0
14.076 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.076 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.076 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
14.076 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
14.076 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
14.076 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
14.076 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.077 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
14.077 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.077 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.077 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.077 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.077 * [taylor]: Taking taylor expansion of 1 in i
14.077 * [backup-simplify]: Simplify 1 into 1
14.077 * [taylor]: Taking taylor expansion of (/ n i) in i
14.077 * [taylor]: Taking taylor expansion of n in i
14.077 * [backup-simplify]: Simplify n into n
14.077 * [taylor]: Taking taylor expansion of i in i
14.077 * [backup-simplify]: Simplify 0 into 0
14.077 * [backup-simplify]: Simplify 1 into 1
14.077 * [backup-simplify]: Simplify (/ n 1) into n
14.077 * [backup-simplify]: Simplify (+ 0 n) into n
14.077 * [backup-simplify]: Simplify (log n) into (log n)
14.077 * [taylor]: Taking taylor expansion of n in i
14.077 * [backup-simplify]: Simplify n into n
14.078 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.078 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.078 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.078 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.079 * [taylor]: Taking taylor expansion of 1 in i
14.079 * [backup-simplify]: Simplify 1 into 1
14.079 * [taylor]: Taking taylor expansion of i in i
14.079 * [backup-simplify]: Simplify 0 into 0
14.079 * [backup-simplify]: Simplify 1 into 1
14.079 * [taylor]: Taking taylor expansion of n in i
14.079 * [backup-simplify]: Simplify n into n
14.079 * [backup-simplify]: Simplify (- 1) into -1
14.079 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.079 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
14.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.081 * [backup-simplify]: Simplify (+ 1 0) into 1
14.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.082 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.082 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.083 * [backup-simplify]: Simplify (- 0) into 0
14.083 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.084 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.084 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
14.084 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
14.084 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
14.084 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.084 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.084 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.084 * [taylor]: Taking taylor expansion of (log n) in n
14.084 * [taylor]: Taking taylor expansion of n in n
14.084 * [backup-simplify]: Simplify 0 into 0
14.084 * [backup-simplify]: Simplify 1 into 1
14.085 * [backup-simplify]: Simplify (log 1) into 0
14.085 * [taylor]: Taking taylor expansion of (log i) in n
14.085 * [taylor]: Taking taylor expansion of i in n
14.085 * [backup-simplify]: Simplify i into i
14.085 * [backup-simplify]: Simplify (log i) into (log i)
14.085 * [taylor]: Taking taylor expansion of n in n
14.085 * [backup-simplify]: Simplify 0 into 0
14.085 * [backup-simplify]: Simplify 1 into 1
14.085 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.085 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.085 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.085 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.086 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.086 * [taylor]: Taking taylor expansion of 1 in n
14.086 * [backup-simplify]: Simplify 1 into 1
14.086 * [taylor]: Taking taylor expansion of n in n
14.086 * [backup-simplify]: Simplify 0 into 0
14.086 * [backup-simplify]: Simplify 1 into 1
14.086 * [backup-simplify]: Simplify (- 1) into -1
14.086 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.087 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.087 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.089 * [backup-simplify]: Simplify (+ 0 0) into 0
14.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.091 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.092 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
14.092 * [backup-simplify]: Simplify (- 0) into 0
14.093 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
14.094 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 1) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.094 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
14.094 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
14.094 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.094 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.094 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.094 * [taylor]: Taking taylor expansion of (log n) in n
14.094 * [taylor]: Taking taylor expansion of n in n
14.094 * [backup-simplify]: Simplify 0 into 0
14.094 * [backup-simplify]: Simplify 1 into 1
14.095 * [backup-simplify]: Simplify (log 1) into 0
14.095 * [taylor]: Taking taylor expansion of (log i) in n
14.095 * [taylor]: Taking taylor expansion of i in n
14.095 * [backup-simplify]: Simplify i into i
14.095 * [backup-simplify]: Simplify (log i) into (log i)
14.095 * [taylor]: Taking taylor expansion of n in n
14.095 * [backup-simplify]: Simplify 0 into 0
14.095 * [backup-simplify]: Simplify 1 into 1
14.096 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.096 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.096 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.096 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.096 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.096 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.096 * [taylor]: Taking taylor expansion of n in n
14.096 * [backup-simplify]: Simplify 0 into 0
14.096 * [backup-simplify]: Simplify 1 into 1
14.096 * [backup-simplify]: Simplify (* 1 1) into 1
14.097 * [backup-simplify]: Simplify (* 1 1) into 1
14.097 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.102 * [backup-simplify]: Simplify 0 into 0
14.103 * [backup-simplify]: Simplify (- 0) into 0
14.103 * [backup-simplify]: Simplify (+ 0 0) into 0
14.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
14.104 * [backup-simplify]: Simplify 0 into 0
14.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.107 * [backup-simplify]: Simplify (+ 0 0) into 0
14.110 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.111 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
14.112 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
14.112 * [backup-simplify]: Simplify (- 0) into 0
14.113 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
14.115 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 1) (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 0)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
14.116 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
14.116 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
14.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
14.116 * [taylor]: Taking taylor expansion of 1/2 in n
14.116 * [backup-simplify]: Simplify 1/2 into 1/2
14.116 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
14.116 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.116 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.116 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.116 * [taylor]: Taking taylor expansion of (log n) in n
14.116 * [taylor]: Taking taylor expansion of n in n
14.116 * [backup-simplify]: Simplify 0 into 0
14.116 * [backup-simplify]: Simplify 1 into 1
14.117 * [backup-simplify]: Simplify (log 1) into 0
14.117 * [taylor]: Taking taylor expansion of (log i) in n
14.117 * [taylor]: Taking taylor expansion of i in n
14.117 * [backup-simplify]: Simplify i into i
14.117 * [backup-simplify]: Simplify (log i) into (log i)
14.117 * [taylor]: Taking taylor expansion of n in n
14.117 * [backup-simplify]: Simplify 0 into 0
14.117 * [backup-simplify]: Simplify 1 into 1
14.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.118 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.118 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.118 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.118 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.118 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.118 * [taylor]: Taking taylor expansion of n in n
14.118 * [backup-simplify]: Simplify 0 into 0
14.118 * [backup-simplify]: Simplify 1 into 1
14.118 * [backup-simplify]: Simplify (* 1 1) into 1
14.119 * [backup-simplify]: Simplify (* 1 1) into 1
14.119 * [backup-simplify]: Simplify (* 1 1) into 1
14.119 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
14.119 * [taylor]: Taking taylor expansion of 1/2 in n
14.119 * [backup-simplify]: Simplify 1/2 into 1/2
14.119 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
14.119 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.119 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.119 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.119 * [taylor]: Taking taylor expansion of (log n) in n
14.119 * [taylor]: Taking taylor expansion of n in n
14.119 * [backup-simplify]: Simplify 0 into 0
14.119 * [backup-simplify]: Simplify 1 into 1
14.120 * [backup-simplify]: Simplify (log 1) into 0
14.120 * [taylor]: Taking taylor expansion of (log i) in n
14.120 * [taylor]: Taking taylor expansion of i in n
14.120 * [backup-simplify]: Simplify i into i
14.120 * [backup-simplify]: Simplify (log i) into (log i)
14.120 * [taylor]: Taking taylor expansion of n in n
14.120 * [backup-simplify]: Simplify 0 into 0
14.120 * [backup-simplify]: Simplify 1 into 1
14.120 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.121 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.121 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.121 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.121 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.121 * [taylor]: Taking taylor expansion of (pow n 4) in n
14.121 * [taylor]: Taking taylor expansion of n in n
14.121 * [backup-simplify]: Simplify 0 into 0
14.121 * [backup-simplify]: Simplify 1 into 1
14.121 * [backup-simplify]: Simplify (* 1 1) into 1
14.122 * [backup-simplify]: Simplify (* 1 1) into 1
14.122 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
14.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
14.157 * [backup-simplify]: Simplify (- 0) into 0
14.157 * [backup-simplify]: Simplify (+ 0 0) into 0
14.157 * [backup-simplify]: Simplify 0 into 0
14.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.160 * [backup-simplify]: Simplify 0 into 0
14.160 * [backup-simplify]: Simplify (- 0) into 0
14.160 * [backup-simplify]: Simplify (+ 0 0) into 0
14.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.161 * [backup-simplify]: Simplify 0 into 0
14.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.163 * [backup-simplify]: Simplify (+ 0 0) into 0
14.166 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
14.167 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
14.168 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
14.168 * [backup-simplify]: Simplify (- 0) into 0
14.169 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
14.171 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0) (+ (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 1) (* (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) 0))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
14.172 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
14.172 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
14.172 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
14.172 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
14.172 * [taylor]: Taking taylor expansion of 1/6 in n
14.172 * [backup-simplify]: Simplify 1/6 into 1/6
14.172 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
14.172 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.172 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.172 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.172 * [taylor]: Taking taylor expansion of (log n) in n
14.172 * [taylor]: Taking taylor expansion of n in n
14.172 * [backup-simplify]: Simplify 0 into 0
14.172 * [backup-simplify]: Simplify 1 into 1
14.173 * [backup-simplify]: Simplify (log 1) into 0
14.173 * [taylor]: Taking taylor expansion of (log i) in n
14.173 * [taylor]: Taking taylor expansion of i in n
14.173 * [backup-simplify]: Simplify i into i
14.173 * [backup-simplify]: Simplify (log i) into (log i)
14.173 * [taylor]: Taking taylor expansion of n in n
14.173 * [backup-simplify]: Simplify 0 into 0
14.173 * [backup-simplify]: Simplify 1 into 1
14.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.173 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.173 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.174 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.174 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.174 * [taylor]: Taking taylor expansion of (pow n 7) in n
14.174 * [taylor]: Taking taylor expansion of n in n
14.174 * [backup-simplify]: Simplify 0 into 0
14.174 * [backup-simplify]: Simplify 1 into 1
14.174 * [backup-simplify]: Simplify (* 1 1) into 1
14.175 * [backup-simplify]: Simplify (* 1 1) into 1
14.175 * [backup-simplify]: Simplify (* 1 1) into 1
14.175 * [backup-simplify]: Simplify (* 1 1) into 1
14.175 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.175 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
14.175 * [taylor]: Taking taylor expansion of 1/3 in n
14.175 * [backup-simplify]: Simplify 1/3 into 1/3
14.175 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
14.175 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.175 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.175 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.175 * [taylor]: Taking taylor expansion of (log n) in n
14.175 * [taylor]: Taking taylor expansion of n in n
14.176 * [backup-simplify]: Simplify 0 into 0
14.176 * [backup-simplify]: Simplify 1 into 1
14.176 * [backup-simplify]: Simplify (log 1) into 0
14.176 * [taylor]: Taking taylor expansion of (log i) in n
14.176 * [taylor]: Taking taylor expansion of i in n
14.176 * [backup-simplify]: Simplify i into i
14.176 * [backup-simplify]: Simplify (log i) into (log i)
14.176 * [taylor]: Taking taylor expansion of n in n
14.176 * [backup-simplify]: Simplify 0 into 0
14.176 * [backup-simplify]: Simplify 1 into 1
14.176 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.176 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.176 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.176 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.177 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.177 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.177 * [taylor]: Taking taylor expansion of n in n
14.177 * [backup-simplify]: Simplify 0 into 0
14.177 * [backup-simplify]: Simplify 1 into 1
14.177 * [backup-simplify]: Simplify (* 1 1) into 1
14.177 * [backup-simplify]: Simplify (* 1 1) into 1
14.178 * [backup-simplify]: Simplify (* 1 1) into 1
14.178 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
14.178 * [taylor]: Taking taylor expansion of 1/2 in n
14.178 * [backup-simplify]: Simplify 1/2 into 1/2
14.178 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
14.178 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.178 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.178 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.178 * [taylor]: Taking taylor expansion of (log n) in n
14.178 * [taylor]: Taking taylor expansion of n in n
14.178 * [backup-simplify]: Simplify 0 into 0
14.178 * [backup-simplify]: Simplify 1 into 1
14.178 * [backup-simplify]: Simplify (log 1) into 0
14.178 * [taylor]: Taking taylor expansion of (log i) in n
14.178 * [taylor]: Taking taylor expansion of i in n
14.178 * [backup-simplify]: Simplify i into i
14.178 * [backup-simplify]: Simplify (log i) into (log i)
14.178 * [taylor]: Taking taylor expansion of n in n
14.178 * [backup-simplify]: Simplify 0 into 0
14.178 * [backup-simplify]: Simplify 1 into 1
14.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.179 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.179 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.179 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.179 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.179 * [taylor]: Taking taylor expansion of (pow n 6) in n
14.179 * [taylor]: Taking taylor expansion of n in n
14.179 * [backup-simplify]: Simplify 0 into 0
14.179 * [backup-simplify]: Simplify 1 into 1
14.179 * [backup-simplify]: Simplify (* 1 1) into 1
14.179 * [backup-simplify]: Simplify (* 1 1) into 1
14.180 * [backup-simplify]: Simplify (* 1 1) into 1
14.180 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.208 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
14.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
14.221 * [backup-simplify]: Simplify (+ 0 0) into 0
14.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
14.244 * [backup-simplify]: Simplify (- 0) into 0
14.245 * [backup-simplify]: Simplify (+ 0 0) into 0
14.245 * [backup-simplify]: Simplify 0 into 0
14.245 * [backup-simplify]: Simplify (* (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
14.245 * [backup-simplify]: Simplify (/ (expm1 (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n)))) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)
14.245 * [approximate]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in (i n) around 0
14.245 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in n
14.246 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in n
14.246 * [taylor]: Taking taylor expansion of i in n
14.246 * [backup-simplify]: Simplify i into i
14.246 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in n
14.246 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.246 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n
14.246 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
14.246 * [taylor]: Taking taylor expansion of -1 in n
14.246 * [backup-simplify]: Simplify -1 into -1
14.246 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.246 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.246 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.246 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.246 * [taylor]: Taking taylor expansion of 1 in n
14.246 * [backup-simplify]: Simplify 1 into 1
14.246 * [taylor]: Taking taylor expansion of (/ n i) in n
14.246 * [taylor]: Taking taylor expansion of n in n
14.246 * [backup-simplify]: Simplify 0 into 0
14.246 * [backup-simplify]: Simplify 1 into 1
14.246 * [taylor]: Taking taylor expansion of i in n
14.246 * [backup-simplify]: Simplify i into i
14.246 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.247 * [backup-simplify]: Simplify (+ 1 0) into 1
14.247 * [backup-simplify]: Simplify (log 1) into 0
14.247 * [taylor]: Taking taylor expansion of n in n
14.247 * [backup-simplify]: Simplify 0 into 0
14.247 * [backup-simplify]: Simplify 1 into 1
14.247 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.248 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.248 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
14.248 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
14.248 * [taylor]: Taking taylor expansion of 1 in n
14.248 * [backup-simplify]: Simplify 1 into 1
14.248 * [taylor]: Taking taylor expansion of n in n
14.248 * [backup-simplify]: Simplify 0 into 0
14.248 * [backup-simplify]: Simplify 1 into 1
14.253 * [backup-simplify]: Simplify (- 1) into -1
14.253 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1)
14.253 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1))
14.254 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1))
14.254 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
14.254 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
14.254 * [taylor]: Taking taylor expansion of i in i
14.254 * [backup-simplify]: Simplify 0 into 0
14.254 * [backup-simplify]: Simplify 1 into 1
14.254 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
14.254 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.254 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
14.254 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.254 * [taylor]: Taking taylor expansion of -1 in i
14.254 * [backup-simplify]: Simplify -1 into -1
14.254 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.254 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.254 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.254 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.254 * [taylor]: Taking taylor expansion of 1 in i
14.254 * [backup-simplify]: Simplify 1 into 1
14.254 * [taylor]: Taking taylor expansion of (/ n i) in i
14.254 * [taylor]: Taking taylor expansion of n in i
14.254 * [backup-simplify]: Simplify n into n
14.254 * [taylor]: Taking taylor expansion of i in i
14.254 * [backup-simplify]: Simplify 0 into 0
14.254 * [backup-simplify]: Simplify 1 into 1
14.254 * [backup-simplify]: Simplify (/ n 1) into n
14.255 * [backup-simplify]: Simplify (+ 0 n) into n
14.255 * [backup-simplify]: Simplify (log n) into (log n)
14.255 * [taylor]: Taking taylor expansion of n in i
14.255 * [backup-simplify]: Simplify n into n
14.255 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.256 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.256 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.256 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
14.256 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.256 * [taylor]: Taking taylor expansion of 1 in i
14.256 * [backup-simplify]: Simplify 1 into 1
14.256 * [taylor]: Taking taylor expansion of n in i
14.256 * [backup-simplify]: Simplify n into n
14.257 * [backup-simplify]: Simplify (- 1) into -1
14.257 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.257 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
14.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.259 * [backup-simplify]: Simplify (+ 1 0) into 1
14.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.260 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.260 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
14.260 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.261 * [backup-simplify]: Simplify (- 0) into 0
14.261 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.261 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.261 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
14.262 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
14.262 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
14.262 * [taylor]: Taking taylor expansion of i in i
14.262 * [backup-simplify]: Simplify 0 into 0
14.262 * [backup-simplify]: Simplify 1 into 1
14.262 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
14.262 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.262 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
14.262 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.262 * [taylor]: Taking taylor expansion of -1 in i
14.262 * [backup-simplify]: Simplify -1 into -1
14.262 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.262 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.262 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.262 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.262 * [taylor]: Taking taylor expansion of 1 in i
14.262 * [backup-simplify]: Simplify 1 into 1
14.262 * [taylor]: Taking taylor expansion of (/ n i) in i
14.262 * [taylor]: Taking taylor expansion of n in i
14.262 * [backup-simplify]: Simplify n into n
14.262 * [taylor]: Taking taylor expansion of i in i
14.262 * [backup-simplify]: Simplify 0 into 0
14.262 * [backup-simplify]: Simplify 1 into 1
14.262 * [backup-simplify]: Simplify (/ n 1) into n
14.262 * [backup-simplify]: Simplify (+ 0 n) into n
14.262 * [backup-simplify]: Simplify (log n) into (log n)
14.262 * [taylor]: Taking taylor expansion of n in i
14.262 * [backup-simplify]: Simplify n into n
14.263 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.263 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.263 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.264 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
14.264 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.264 * [taylor]: Taking taylor expansion of 1 in i
14.264 * [backup-simplify]: Simplify 1 into 1
14.264 * [taylor]: Taking taylor expansion of n in i
14.264 * [backup-simplify]: Simplify n into n
14.264 * [backup-simplify]: Simplify (- 1) into -1
14.264 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.265 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
14.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.266 * [backup-simplify]: Simplify (+ 1 0) into 1
14.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.267 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.267 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
14.268 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.268 * [backup-simplify]: Simplify (- 0) into 0
14.269 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.269 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.269 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
14.269 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
14.269 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
14.270 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.270 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.270 * [taylor]: Taking taylor expansion of -1 in n
14.270 * [backup-simplify]: Simplify -1 into -1
14.270 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.270 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.270 * [taylor]: Taking taylor expansion of (log n) in n
14.270 * [taylor]: Taking taylor expansion of n in n
14.270 * [backup-simplify]: Simplify 0 into 0
14.270 * [backup-simplify]: Simplify 1 into 1
14.270 * [backup-simplify]: Simplify (log 1) into 0
14.270 * [taylor]: Taking taylor expansion of (log i) in n
14.270 * [taylor]: Taking taylor expansion of i in n
14.270 * [backup-simplify]: Simplify i into i
14.270 * [backup-simplify]: Simplify (log i) into (log i)
14.270 * [taylor]: Taking taylor expansion of n in n
14.270 * [backup-simplify]: Simplify 0 into 0
14.270 * [backup-simplify]: Simplify 1 into 1
14.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.271 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.271 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.271 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.271 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.271 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.271 * [taylor]: Taking taylor expansion of 1 in n
14.272 * [backup-simplify]: Simplify 1 into 1
14.272 * [taylor]: Taking taylor expansion of n in n
14.272 * [backup-simplify]: Simplify 0 into 0
14.272 * [backup-simplify]: Simplify 1 into 1
14.272 * [backup-simplify]: Simplify (- 1) into -1
14.272 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.272 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.273 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.276 * [backup-simplify]: Simplify (+ 0 0) into 0
14.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.278 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.279 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
14.280 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
14.280 * [backup-simplify]: Simplify (- 0) into 0
14.281 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
14.282 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.283 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
14.283 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
14.283 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
14.283 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.283 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.283 * [taylor]: Taking taylor expansion of -1 in n
14.283 * [backup-simplify]: Simplify -1 into -1
14.283 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.283 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.283 * [taylor]: Taking taylor expansion of (log n) in n
14.283 * [taylor]: Taking taylor expansion of n in n
14.283 * [backup-simplify]: Simplify 0 into 0
14.283 * [backup-simplify]: Simplify 1 into 1
14.284 * [backup-simplify]: Simplify (log 1) into 0
14.284 * [taylor]: Taking taylor expansion of (log i) in n
14.284 * [taylor]: Taking taylor expansion of i in n
14.284 * [backup-simplify]: Simplify i into i
14.284 * [backup-simplify]: Simplify (log i) into (log i)
14.284 * [taylor]: Taking taylor expansion of n in n
14.284 * [backup-simplify]: Simplify 0 into 0
14.284 * [backup-simplify]: Simplify 1 into 1
14.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.285 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.285 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.285 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.285 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.285 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.285 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.285 * [taylor]: Taking taylor expansion of n in n
14.285 * [backup-simplify]: Simplify 0 into 0
14.285 * [backup-simplify]: Simplify 1 into 1
14.286 * [backup-simplify]: Simplify (* 1 1) into 1
14.286 * [backup-simplify]: Simplify (* 1 1) into 1
14.286 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.292 * [backup-simplify]: Simplify (- 0) into 0
14.292 * [backup-simplify]: Simplify 0 into 0
14.292 * [backup-simplify]: Simplify (- 0) into 0
14.292 * [backup-simplify]: Simplify (+ 0 0) into 0
14.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
14.293 * [backup-simplify]: Simplify 0 into 0
14.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.296 * [backup-simplify]: Simplify (+ 0 0) into 0
14.299 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.299 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
14.300 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
14.301 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
14.301 * [backup-simplify]: Simplify (- 0) into 0
14.302 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
14.304 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
14.306 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
14.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
14.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
14.306 * [taylor]: Taking taylor expansion of 1/2 in n
14.306 * [backup-simplify]: Simplify 1/2 into 1/2
14.306 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
14.306 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.306 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.306 * [taylor]: Taking taylor expansion of -1 in n
14.306 * [backup-simplify]: Simplify -1 into -1
14.306 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.306 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.306 * [taylor]: Taking taylor expansion of (log n) in n
14.306 * [taylor]: Taking taylor expansion of n in n
14.306 * [backup-simplify]: Simplify 0 into 0
14.306 * [backup-simplify]: Simplify 1 into 1
14.307 * [backup-simplify]: Simplify (log 1) into 0
14.307 * [taylor]: Taking taylor expansion of (log i) in n
14.307 * [taylor]: Taking taylor expansion of i in n
14.307 * [backup-simplify]: Simplify i into i
14.307 * [backup-simplify]: Simplify (log i) into (log i)
14.307 * [taylor]: Taking taylor expansion of n in n
14.307 * [backup-simplify]: Simplify 0 into 0
14.307 * [backup-simplify]: Simplify 1 into 1
14.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.307 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.307 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.308 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.308 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.308 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.308 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.308 * [taylor]: Taking taylor expansion of n in n
14.308 * [backup-simplify]: Simplify 0 into 0
14.308 * [backup-simplify]: Simplify 1 into 1
14.308 * [backup-simplify]: Simplify (* 1 1) into 1
14.309 * [backup-simplify]: Simplify (* 1 1) into 1
14.309 * [backup-simplify]: Simplify (* 1 1) into 1
14.309 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
14.309 * [taylor]: Taking taylor expansion of 1/2 in n
14.309 * [backup-simplify]: Simplify 1/2 into 1/2
14.309 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
14.309 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.309 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.309 * [taylor]: Taking taylor expansion of -1 in n
14.309 * [backup-simplify]: Simplify -1 into -1
14.309 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.310 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.310 * [taylor]: Taking taylor expansion of (log n) in n
14.310 * [taylor]: Taking taylor expansion of n in n
14.310 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify 1 into 1
14.310 * [backup-simplify]: Simplify (log 1) into 0
14.310 * [taylor]: Taking taylor expansion of (log i) in n
14.310 * [taylor]: Taking taylor expansion of i in n
14.310 * [backup-simplify]: Simplify i into i
14.310 * [backup-simplify]: Simplify (log i) into (log i)
14.310 * [taylor]: Taking taylor expansion of n in n
14.310 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify 1 into 1
14.311 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.311 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.311 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.311 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.311 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.311 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.311 * [taylor]: Taking taylor expansion of (pow n 4) in n
14.311 * [taylor]: Taking taylor expansion of n in n
14.311 * [backup-simplify]: Simplify 0 into 0
14.311 * [backup-simplify]: Simplify 1 into 1
14.312 * [backup-simplify]: Simplify (* 1 1) into 1
14.312 * [backup-simplify]: Simplify (* 1 1) into 1
14.312 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
14.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
14.345 * [backup-simplify]: Simplify (+ 0 0) into 0
14.345 * [backup-simplify]: Simplify 0 into 0
14.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.349 * [backup-simplify]: Simplify (- 0) into 0
14.349 * [backup-simplify]: Simplify 0 into 0
14.350 * [backup-simplify]: Simplify (- 0) into 0
14.350 * [backup-simplify]: Simplify (+ 0 0) into 0
14.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.352 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.354 * [backup-simplify]: Simplify (+ 0 0) into 0
14.360 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
14.360 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
14.361 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow n 5))))) (+ (* 0 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))))) into (* 1/4 (/ 1 (pow n 5)))
14.363 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
14.364 * [backup-simplify]: Simplify (- 0) into 0
14.366 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
14.370 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
14.372 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
14.372 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
14.373 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
14.373 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
14.373 * [taylor]: Taking taylor expansion of 1/6 in n
14.373 * [backup-simplify]: Simplify 1/6 into 1/6
14.373 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
14.373 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.373 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.373 * [taylor]: Taking taylor expansion of -1 in n
14.373 * [backup-simplify]: Simplify -1 into -1
14.373 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.373 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.373 * [taylor]: Taking taylor expansion of (log n) in n
14.373 * [taylor]: Taking taylor expansion of n in n
14.373 * [backup-simplify]: Simplify 0 into 0
14.373 * [backup-simplify]: Simplify 1 into 1
14.374 * [backup-simplify]: Simplify (log 1) into 0
14.374 * [taylor]: Taking taylor expansion of (log i) in n
14.374 * [taylor]: Taking taylor expansion of i in n
14.374 * [backup-simplify]: Simplify i into i
14.374 * [backup-simplify]: Simplify (log i) into (log i)
14.374 * [taylor]: Taking taylor expansion of n in n
14.374 * [backup-simplify]: Simplify 0 into 0
14.374 * [backup-simplify]: Simplify 1 into 1
14.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.374 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.374 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.375 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.375 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.375 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.375 * [taylor]: Taking taylor expansion of (pow n 7) in n
14.375 * [taylor]: Taking taylor expansion of n in n
14.375 * [backup-simplify]: Simplify 0 into 0
14.375 * [backup-simplify]: Simplify 1 into 1
14.375 * [backup-simplify]: Simplify (* 1 1) into 1
14.376 * [backup-simplify]: Simplify (* 1 1) into 1
14.376 * [backup-simplify]: Simplify (* 1 1) into 1
14.377 * [backup-simplify]: Simplify (* 1 1) into 1
14.377 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.377 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
14.377 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
14.377 * [taylor]: Taking taylor expansion of 1/3 in n
14.377 * [backup-simplify]: Simplify 1/3 into 1/3
14.377 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
14.377 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.377 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.377 * [taylor]: Taking taylor expansion of -1 in n
14.377 * [backup-simplify]: Simplify -1 into -1
14.377 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.377 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.377 * [taylor]: Taking taylor expansion of (log n) in n
14.377 * [taylor]: Taking taylor expansion of n in n
14.377 * [backup-simplify]: Simplify 0 into 0
14.377 * [backup-simplify]: Simplify 1 into 1
14.378 * [backup-simplify]: Simplify (log 1) into 0
14.378 * [taylor]: Taking taylor expansion of (log i) in n
14.378 * [taylor]: Taking taylor expansion of i in n
14.378 * [backup-simplify]: Simplify i into i
14.378 * [backup-simplify]: Simplify (log i) into (log i)
14.378 * [taylor]: Taking taylor expansion of n in n
14.378 * [backup-simplify]: Simplify 0 into 0
14.378 * [backup-simplify]: Simplify 1 into 1
14.378 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.378 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.378 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.379 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.379 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.379 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.379 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.379 * [taylor]: Taking taylor expansion of n in n
14.379 * [backup-simplify]: Simplify 0 into 0
14.379 * [backup-simplify]: Simplify 1 into 1
14.379 * [backup-simplify]: Simplify (* 1 1) into 1
14.380 * [backup-simplify]: Simplify (* 1 1) into 1
14.380 * [backup-simplify]: Simplify (* 1 1) into 1
14.380 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
14.380 * [taylor]: Taking taylor expansion of 1/2 in n
14.380 * [backup-simplify]: Simplify 1/2 into 1/2
14.381 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
14.381 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.381 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.381 * [taylor]: Taking taylor expansion of -1 in n
14.381 * [backup-simplify]: Simplify -1 into -1
14.381 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.381 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.381 * [taylor]: Taking taylor expansion of (log n) in n
14.381 * [taylor]: Taking taylor expansion of n in n
14.381 * [backup-simplify]: Simplify 0 into 0
14.381 * [backup-simplify]: Simplify 1 into 1
14.381 * [backup-simplify]: Simplify (log 1) into 0
14.381 * [taylor]: Taking taylor expansion of (log i) in n
14.381 * [taylor]: Taking taylor expansion of i in n
14.381 * [backup-simplify]: Simplify i into i
14.381 * [backup-simplify]: Simplify (log i) into (log i)
14.381 * [taylor]: Taking taylor expansion of n in n
14.381 * [backup-simplify]: Simplify 0 into 0
14.381 * [backup-simplify]: Simplify 1 into 1
14.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.382 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.382 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.382 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.382 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.382 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.382 * [taylor]: Taking taylor expansion of (pow n 6) in n
14.382 * [taylor]: Taking taylor expansion of n in n
14.383 * [backup-simplify]: Simplify 0 into 0
14.383 * [backup-simplify]: Simplify 1 into 1
14.383 * [backup-simplify]: Simplify (* 1 1) into 1
14.383 * [backup-simplify]: Simplify (* 1 1) into 1
14.384 * [backup-simplify]: Simplify (* 1 1) into 1
14.384 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.436 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
14.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
14.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
14.485 * [backup-simplify]: Simplify (+ 0 0) into 0
14.485 * [backup-simplify]: Simplify (+ 0 0) into 0
14.486 * [backup-simplify]: Simplify (- 0) into 0
14.486 * [backup-simplify]: Simplify 0 into 0
14.486 * [backup-simplify]: Simplify (* (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
14.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
14.486 * [backup-simplify]: Simplify (* (log1p (/ i n)) n) into (* (log1p (/ i n)) n)
14.486 * [approximate]: Taking taylor expansion of (* (log1p (/ i n)) n) in (i n) around 0
14.486 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
14.486 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
14.487 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.487 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
14.487 * [taylor]: Taking taylor expansion of 1 in n
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [taylor]: Taking taylor expansion of (/ i n) in n
14.487 * [taylor]: Taking taylor expansion of i in n
14.487 * [backup-simplify]: Simplify i into i
14.487 * [taylor]: Taking taylor expansion of n in n
14.487 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [backup-simplify]: Simplify (/ i 1) into i
14.487 * [backup-simplify]: Simplify (+ 0 i) into i
14.487 * [backup-simplify]: Simplify (log i) into (log i)
14.487 * [taylor]: Taking taylor expansion of n in n
14.487 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.487 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.487 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.487 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.487 * [taylor]: Taking taylor expansion of 1 in i
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [taylor]: Taking taylor expansion of (/ i n) in i
14.487 * [taylor]: Taking taylor expansion of i in i
14.487 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [taylor]: Taking taylor expansion of n in i
14.487 * [backup-simplify]: Simplify n into n
14.487 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.488 * [backup-simplify]: Simplify (+ 1 0) into 1
14.488 * [backup-simplify]: Simplify (log 1) into 0
14.488 * [taylor]: Taking taylor expansion of n in i
14.488 * [backup-simplify]: Simplify n into n
14.488 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.488 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.489 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.489 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.489 * [taylor]: Taking taylor expansion of 1 in i
14.489 * [backup-simplify]: Simplify 1 into 1
14.489 * [taylor]: Taking taylor expansion of (/ i n) in i
14.489 * [taylor]: Taking taylor expansion of i in i
14.489 * [backup-simplify]: Simplify 0 into 0
14.489 * [backup-simplify]: Simplify 1 into 1
14.489 * [taylor]: Taking taylor expansion of n in i
14.489 * [backup-simplify]: Simplify n into n
14.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.489 * [backup-simplify]: Simplify (+ 1 0) into 1
14.490 * [backup-simplify]: Simplify (log 1) into 0
14.490 * [taylor]: Taking taylor expansion of n in i
14.490 * [backup-simplify]: Simplify n into n
14.490 * [backup-simplify]: Simplify (* 0 n) into 0
14.490 * [taylor]: Taking taylor expansion of 0 in n
14.490 * [backup-simplify]: Simplify 0 into 0
14.490 * [backup-simplify]: Simplify 0 into 0
14.490 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.491 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
14.491 * [taylor]: Taking taylor expansion of 1 in n
14.491 * [backup-simplify]: Simplify 1 into 1
14.491 * [backup-simplify]: Simplify 1 into 1
14.491 * [backup-simplify]: Simplify 0 into 0
14.491 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
14.492 * [backup-simplify]: Simplify (+ 0 0) into 0
14.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
14.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
14.494 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n
14.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
14.494 * [taylor]: Taking taylor expansion of 1/2 in n
14.494 * [backup-simplify]: Simplify 1/2 into 1/2
14.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.494 * [taylor]: Taking taylor expansion of n in n
14.494 * [backup-simplify]: Simplify 0 into 0
14.494 * [backup-simplify]: Simplify 1 into 1
14.495 * [backup-simplify]: Simplify (/ 1 1) into 1
14.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
14.497 * [backup-simplify]: Simplify (- 0) into 0
14.497 * [backup-simplify]: Simplify 0 into 0
14.497 * [backup-simplify]: Simplify 0 into 0
14.497 * [backup-simplify]: Simplify 0 into 0
14.497 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
14.497 * [backup-simplify]: Simplify (+ 0 0) into 0
14.501 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
14.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
14.502 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
14.502 * [taylor]: Taking taylor expansion of 1/3 in n
14.502 * [backup-simplify]: Simplify 1/3 into 1/3
14.502 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
14.502 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.502 * [taylor]: Taking taylor expansion of n in n
14.502 * [backup-simplify]: Simplify 0 into 0
14.502 * [backup-simplify]: Simplify 1 into 1
14.502 * [backup-simplify]: Simplify (* 1 1) into 1
14.503 * [backup-simplify]: Simplify (/ 1 1) into 1
14.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
14.507 * [backup-simplify]: Simplify 0 into 0
14.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
14.508 * [backup-simplify]: Simplify (- 0) into 0
14.508 * [backup-simplify]: Simplify 0 into 0
14.508 * [backup-simplify]: Simplify (* 1 (* 1 i)) into i
14.509 * [backup-simplify]: Simplify (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (/ (log1p (/ n i)) n)
14.509 * [approximate]: Taking taylor expansion of (/ (log1p (/ n i)) n) in (i n) around 0
14.509 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.509 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.509 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.509 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.509 * [taylor]: Taking taylor expansion of 1 in n
14.509 * [backup-simplify]: Simplify 1 into 1
14.509 * [taylor]: Taking taylor expansion of (/ n i) in n
14.509 * [taylor]: Taking taylor expansion of n in n
14.509 * [backup-simplify]: Simplify 0 into 0
14.509 * [backup-simplify]: Simplify 1 into 1
14.509 * [taylor]: Taking taylor expansion of i in n
14.509 * [backup-simplify]: Simplify i into i
14.509 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.509 * [backup-simplify]: Simplify (+ 1 0) into 1
14.510 * [backup-simplify]: Simplify (log 1) into 0
14.510 * [taylor]: Taking taylor expansion of n in n
14.510 * [backup-simplify]: Simplify 0 into 0
14.510 * [backup-simplify]: Simplify 1 into 1
14.510 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.510 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.510 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.510 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.510 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.510 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.510 * [taylor]: Taking taylor expansion of 1 in i
14.510 * [backup-simplify]: Simplify 1 into 1
14.510 * [taylor]: Taking taylor expansion of (/ n i) in i
14.510 * [taylor]: Taking taylor expansion of n in i
14.510 * [backup-simplify]: Simplify n into n
14.510 * [taylor]: Taking taylor expansion of i in i
14.510 * [backup-simplify]: Simplify 0 into 0
14.510 * [backup-simplify]: Simplify 1 into 1
14.511 * [backup-simplify]: Simplify (/ n 1) into n
14.511 * [backup-simplify]: Simplify (+ 0 n) into n
14.511 * [backup-simplify]: Simplify (log n) into (log n)
14.511 * [taylor]: Taking taylor expansion of n in i
14.511 * [backup-simplify]: Simplify n into n
14.511 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.512 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.512 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.512 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.512 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.512 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.512 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.512 * [taylor]: Taking taylor expansion of 1 in i
14.512 * [backup-simplify]: Simplify 1 into 1
14.512 * [taylor]: Taking taylor expansion of (/ n i) in i
14.512 * [taylor]: Taking taylor expansion of n in i
14.512 * [backup-simplify]: Simplify n into n
14.512 * [taylor]: Taking taylor expansion of i in i
14.512 * [backup-simplify]: Simplify 0 into 0
14.512 * [backup-simplify]: Simplify 1 into 1
14.512 * [backup-simplify]: Simplify (/ n 1) into n
14.512 * [backup-simplify]: Simplify (+ 0 n) into n
14.512 * [backup-simplify]: Simplify (log n) into (log n)
14.513 * [taylor]: Taking taylor expansion of n in i
14.513 * [backup-simplify]: Simplify n into n
14.513 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.513 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.514 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.514 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.514 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.514 * [taylor]: Taking taylor expansion of (log n) in n
14.514 * [taylor]: Taking taylor expansion of n in n
14.514 * [backup-simplify]: Simplify 0 into 0
14.514 * [backup-simplify]: Simplify 1 into 1
14.514 * [backup-simplify]: Simplify (log 1) into 0
14.514 * [taylor]: Taking taylor expansion of (log i) in n
14.514 * [taylor]: Taking taylor expansion of i in n
14.514 * [backup-simplify]: Simplify i into i
14.514 * [backup-simplify]: Simplify (log i) into (log i)
14.514 * [taylor]: Taking taylor expansion of n in n
14.514 * [backup-simplify]: Simplify 0 into 0
14.514 * [backup-simplify]: Simplify 1 into 1
14.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.515 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.515 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.515 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
14.518 * [backup-simplify]: Simplify (- 0) into 0
14.518 * [backup-simplify]: Simplify (+ 0 0) into 0
14.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
14.519 * [backup-simplify]: Simplify 0 into 0
14.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.520 * [backup-simplify]: Simplify (+ 1 0) into 1
14.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.521 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.521 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
14.521 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.521 * [taylor]: Taking taylor expansion of n in n
14.521 * [backup-simplify]: Simplify 0 into 0
14.521 * [backup-simplify]: Simplify 1 into 1
14.522 * [backup-simplify]: Simplify (* 1 1) into 1
14.522 * [backup-simplify]: Simplify (/ 1 1) into 1
14.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.524 * [backup-simplify]: Simplify 0 into 0
14.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
14.528 * [backup-simplify]: Simplify (- 0) into 0
14.529 * [backup-simplify]: Simplify (+ 0 0) into 0
14.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.530 * [backup-simplify]: Simplify 0 into 0
14.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.532 * [backup-simplify]: Simplify (+ 0 0) into 0
14.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.534 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.534 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 3)))) in n
14.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
14.534 * [taylor]: Taking taylor expansion of 1/2 in n
14.534 * [backup-simplify]: Simplify 1/2 into 1/2
14.534 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
14.534 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.534 * [taylor]: Taking taylor expansion of n in n
14.534 * [backup-simplify]: Simplify 0 into 0
14.534 * [backup-simplify]: Simplify 1 into 1
14.535 * [backup-simplify]: Simplify (* 1 1) into 1
14.535 * [backup-simplify]: Simplify (* 1 1) into 1
14.536 * [backup-simplify]: Simplify (/ 1 1) into 1
14.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.549 * [backup-simplify]: Simplify (- 0) into 0
14.549 * [backup-simplify]: Simplify 0 into 0
14.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.551 * [backup-simplify]: Simplify 0 into 0
14.555 * [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
14.557 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
14.557 * [backup-simplify]: Simplify (- 0) into 0
14.558 * [backup-simplify]: Simplify (+ 0 0) into 0
14.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.559 * [backup-simplify]: Simplify 0 into 0
14.559 * [backup-simplify]: Simplify 0 into 0
14.559 * [backup-simplify]: Simplify (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (* -1 (/ (log1p (/ n i)) n))
14.559 * [approximate]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in (i n) around 0
14.559 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
14.559 * [taylor]: Taking taylor expansion of -1 in n
14.559 * [backup-simplify]: Simplify -1 into -1
14.559 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.559 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.559 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.559 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.559 * [taylor]: Taking taylor expansion of 1 in n
14.559 * [backup-simplify]: Simplify 1 into 1
14.559 * [taylor]: Taking taylor expansion of (/ n i) in n
14.559 * [taylor]: Taking taylor expansion of n in n
14.559 * [backup-simplify]: Simplify 0 into 0
14.559 * [backup-simplify]: Simplify 1 into 1
14.559 * [taylor]: Taking taylor expansion of i in n
14.559 * [backup-simplify]: Simplify i into i
14.559 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.560 * [backup-simplify]: Simplify (+ 1 0) into 1
14.560 * [backup-simplify]: Simplify (log 1) into 0
14.560 * [taylor]: Taking taylor expansion of n in n
14.560 * [backup-simplify]: Simplify 0 into 0
14.560 * [backup-simplify]: Simplify 1 into 1
14.560 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.561 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.561 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.561 * [taylor]: Taking taylor expansion of -1 in i
14.561 * [backup-simplify]: Simplify -1 into -1
14.561 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.561 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.561 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.561 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.561 * [taylor]: Taking taylor expansion of 1 in i
14.561 * [backup-simplify]: Simplify 1 into 1
14.561 * [taylor]: Taking taylor expansion of (/ n i) in i
14.561 * [taylor]: Taking taylor expansion of n in i
14.561 * [backup-simplify]: Simplify n into n
14.561 * [taylor]: Taking taylor expansion of i in i
14.561 * [backup-simplify]: Simplify 0 into 0
14.561 * [backup-simplify]: Simplify 1 into 1
14.561 * [backup-simplify]: Simplify (/ n 1) into n
14.561 * [backup-simplify]: Simplify (+ 0 n) into n
14.561 * [backup-simplify]: Simplify (log n) into (log n)
14.561 * [taylor]: Taking taylor expansion of n in i
14.561 * [backup-simplify]: Simplify n into n
14.561 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.562 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.562 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.562 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.562 * [taylor]: Taking taylor expansion of -1 in i
14.562 * [backup-simplify]: Simplify -1 into -1
14.562 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.562 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.562 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.562 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.562 * [taylor]: Taking taylor expansion of 1 in i
14.562 * [backup-simplify]: Simplify 1 into 1
14.562 * [taylor]: Taking taylor expansion of (/ n i) in i
14.562 * [taylor]: Taking taylor expansion of n in i
14.562 * [backup-simplify]: Simplify n into n
14.562 * [taylor]: Taking taylor expansion of i in i
14.562 * [backup-simplify]: Simplify 0 into 0
14.562 * [backup-simplify]: Simplify 1 into 1
14.562 * [backup-simplify]: Simplify (/ n 1) into n
14.562 * [backup-simplify]: Simplify (+ 0 n) into n
14.562 * [backup-simplify]: Simplify (log n) into (log n)
14.562 * [taylor]: Taking taylor expansion of n in i
14.562 * [backup-simplify]: Simplify n into n
14.562 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.563 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.563 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.563 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
14.563 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.563 * [taylor]: Taking taylor expansion of -1 in n
14.563 * [backup-simplify]: Simplify -1 into -1
14.563 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.563 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.563 * [taylor]: Taking taylor expansion of (log n) in n
14.563 * [taylor]: Taking taylor expansion of n in n
14.563 * [backup-simplify]: Simplify 0 into 0
14.563 * [backup-simplify]: Simplify 1 into 1
14.563 * [backup-simplify]: Simplify (log 1) into 0
14.563 * [taylor]: Taking taylor expansion of (log i) in n
14.563 * [taylor]: Taking taylor expansion of i in n
14.563 * [backup-simplify]: Simplify i into i
14.563 * [backup-simplify]: Simplify (log i) into (log i)
14.563 * [taylor]: Taking taylor expansion of n in n
14.563 * [backup-simplify]: Simplify 0 into 0
14.563 * [backup-simplify]: Simplify 1 into 1
14.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.564 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.564 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.564 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
14.566 * [backup-simplify]: Simplify (- 0) into 0
14.566 * [backup-simplify]: Simplify (+ 0 0) into 0
14.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
14.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (log n) (log i)))) into 0
14.567 * [backup-simplify]: Simplify 0 into 0
14.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.568 * [backup-simplify]: Simplify (+ 1 0) into 1
14.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.568 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.568 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
14.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n
14.568 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
14.569 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.569 * [taylor]: Taking taylor expansion of n in n
14.569 * [backup-simplify]: Simplify 0 into 0
14.569 * [backup-simplify]: Simplify 1 into 1
14.569 * [backup-simplify]: Simplify (* 1 1) into 1
14.569 * [backup-simplify]: Simplify (/ 1 1) into 1
14.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.571 * [backup-simplify]: Simplify (- 0) into 0
14.571 * [backup-simplify]: Simplify 0 into 0
14.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
14.575 * [backup-simplify]: Simplify (- 0) into 0
14.575 * [backup-simplify]: Simplify (+ 0 0) into 0
14.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0
14.576 * [backup-simplify]: Simplify 0 into 0
14.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.578 * [backup-simplify]: Simplify (+ 0 0) into 0
14.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.579 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.580 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
14.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
14.580 * [taylor]: Taking taylor expansion of 1/2 in n
14.580 * [backup-simplify]: Simplify 1/2 into 1/2
14.580 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
14.580 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.580 * [taylor]: Taking taylor expansion of n in n
14.580 * [backup-simplify]: Simplify 0 into 0
14.580 * [backup-simplify]: Simplify 1 into 1
14.580 * [backup-simplify]: Simplify (* 1 1) into 1
14.580 * [backup-simplify]: Simplify (* 1 1) into 1
14.581 * [backup-simplify]: Simplify (/ 1 1) into 1
14.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.587 * [backup-simplify]: Simplify 0 into 0
14.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.588 * [backup-simplify]: Simplify (- 0) into 0
14.589 * [backup-simplify]: Simplify 0 into 0
14.592 * [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
14.594 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
14.595 * [backup-simplify]: Simplify (- 0) into 0
14.595 * [backup-simplify]: Simplify (+ 0 0) into 0
14.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0
14.597 * [backup-simplify]: Simplify 0 into 0
14.597 * [backup-simplify]: Simplify 0 into 0
14.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
14.597 * [backup-simplify]: Simplify (log1p (/ i n)) into (log1p (/ i n))
14.597 * [approximate]: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0
14.597 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
14.597 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.597 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
14.597 * [taylor]: Taking taylor expansion of 1 in n
14.597 * [backup-simplify]: Simplify 1 into 1
14.597 * [taylor]: Taking taylor expansion of (/ i n) in n
14.597 * [taylor]: Taking taylor expansion of i in n
14.597 * [backup-simplify]: Simplify i into i
14.597 * [taylor]: Taking taylor expansion of n in n
14.597 * [backup-simplify]: Simplify 0 into 0
14.597 * [backup-simplify]: Simplify 1 into 1
14.597 * [backup-simplify]: Simplify (/ i 1) into i
14.597 * [backup-simplify]: Simplify (+ 0 i) into i
14.597 * [backup-simplify]: Simplify (log i) into (log i)
14.598 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.598 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.598 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.598 * [taylor]: Taking taylor expansion of 1 in i
14.598 * [backup-simplify]: Simplify 1 into 1
14.598 * [taylor]: Taking taylor expansion of (/ i n) in i
14.598 * [taylor]: Taking taylor expansion of i in i
14.598 * [backup-simplify]: Simplify 0 into 0
14.598 * [backup-simplify]: Simplify 1 into 1
14.598 * [taylor]: Taking taylor expansion of n in i
14.598 * [backup-simplify]: Simplify n into n
14.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.598 * [backup-simplify]: Simplify (+ 1 0) into 1
14.598 * [backup-simplify]: Simplify (log 1) into 0
14.598 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.598 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.598 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.598 * [taylor]: Taking taylor expansion of 1 in i
14.598 * [backup-simplify]: Simplify 1 into 1
14.598 * [taylor]: Taking taylor expansion of (/ i n) in i
14.598 * [taylor]: Taking taylor expansion of i in i
14.598 * [backup-simplify]: Simplify 0 into 0
14.598 * [backup-simplify]: Simplify 1 into 1
14.598 * [taylor]: Taking taylor expansion of n in i
14.598 * [backup-simplify]: Simplify n into n
14.599 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.599 * [backup-simplify]: Simplify (+ 1 0) into 1
14.599 * [backup-simplify]: Simplify (log 1) into 0
14.599 * [taylor]: Taking taylor expansion of 0 in n
14.599 * [backup-simplify]: Simplify 0 into 0
14.599 * [backup-simplify]: Simplify 0 into 0
14.599 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.600 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.600 * [taylor]: Taking taylor expansion of n in n
14.600 * [backup-simplify]: Simplify 0 into 0
14.600 * [backup-simplify]: Simplify 1 into 1
14.600 * [backup-simplify]: Simplify (/ 1 1) into 1
14.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.600 * [backup-simplify]: Simplify 0 into 0
14.600 * [backup-simplify]: Simplify 0 into 0
14.601 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
14.601 * [backup-simplify]: Simplify (+ 0 0) into 0
14.602 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
14.602 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
14.602 * [taylor]: Taking taylor expansion of -1/2 in n
14.602 * [backup-simplify]: Simplify -1/2 into -1/2
14.602 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.602 * [taylor]: Taking taylor expansion of n in n
14.602 * [backup-simplify]: Simplify 0 into 0
14.602 * [backup-simplify]: Simplify 1 into 1
14.602 * [backup-simplify]: Simplify (* 1 1) into 1
14.603 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
14.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
14.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.605 * [backup-simplify]: Simplify 0 into 0
14.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.605 * [backup-simplify]: Simplify 0 into 0
14.605 * [backup-simplify]: Simplify 0 into 0
14.605 * [backup-simplify]: Simplify 0 into 0
14.605 * [backup-simplify]: Simplify (log1p (/ (/ 1 i) (/ 1 n))) into (log1p (/ n i))
14.605 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0
14.606 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.606 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.606 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.606 * [taylor]: Taking taylor expansion of 1 in n
14.606 * [backup-simplify]: Simplify 1 into 1
14.606 * [taylor]: Taking taylor expansion of (/ n i) in n
14.606 * [taylor]: Taking taylor expansion of n in n
14.606 * [backup-simplify]: Simplify 0 into 0
14.606 * [backup-simplify]: Simplify 1 into 1
14.606 * [taylor]: Taking taylor expansion of i in n
14.606 * [backup-simplify]: Simplify i into i
14.606 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.606 * [backup-simplify]: Simplify (+ 1 0) into 1
14.606 * [backup-simplify]: Simplify (log 1) into 0
14.606 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.606 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.606 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.606 * [taylor]: Taking taylor expansion of 1 in i
14.606 * [backup-simplify]: Simplify 1 into 1
14.606 * [taylor]: Taking taylor expansion of (/ n i) in i
14.607 * [taylor]: Taking taylor expansion of n in i
14.607 * [backup-simplify]: Simplify n into n
14.607 * [taylor]: Taking taylor expansion of i in i
14.607 * [backup-simplify]: Simplify 0 into 0
14.607 * [backup-simplify]: Simplify 1 into 1
14.607 * [backup-simplify]: Simplify (/ n 1) into n
14.607 * [backup-simplify]: Simplify (+ 0 n) into n
14.607 * [backup-simplify]: Simplify (log n) into (log n)
14.607 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.607 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.607 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.607 * [taylor]: Taking taylor expansion of 1 in i
14.607 * [backup-simplify]: Simplify 1 into 1
14.607 * [taylor]: Taking taylor expansion of (/ n i) in i
14.607 * [taylor]: Taking taylor expansion of n in i
14.607 * [backup-simplify]: Simplify n into n
14.607 * [taylor]: Taking taylor expansion of i in i
14.607 * [backup-simplify]: Simplify 0 into 0
14.607 * [backup-simplify]: Simplify 1 into 1
14.607 * [backup-simplify]: Simplify (/ n 1) into n
14.607 * [backup-simplify]: Simplify (+ 0 n) into n
14.607 * [backup-simplify]: Simplify (log n) into (log n)
14.607 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.607 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.607 * [taylor]: Taking taylor expansion of (log n) in n
14.607 * [taylor]: Taking taylor expansion of n in n
14.607 * [backup-simplify]: Simplify 0 into 0
14.607 * [backup-simplify]: Simplify 1 into 1
14.608 * [backup-simplify]: Simplify (log 1) into 0
14.608 * [taylor]: Taking taylor expansion of (log i) in n
14.608 * [taylor]: Taking taylor expansion of i in n
14.608 * [backup-simplify]: Simplify i into i
14.608 * [backup-simplify]: Simplify (log i) into (log i)
14.608 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.608 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.608 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.608 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
14.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.609 * [backup-simplify]: Simplify (+ 1 0) into 1
14.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.610 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.610 * [taylor]: Taking taylor expansion of n in n
14.610 * [backup-simplify]: Simplify 0 into 0
14.610 * [backup-simplify]: Simplify 1 into 1
14.610 * [backup-simplify]: Simplify (/ 1 1) into 1
14.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.610 * [backup-simplify]: Simplify 0 into 0
14.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
14.612 * [backup-simplify]: Simplify (- 0) into 0
14.612 * [backup-simplify]: Simplify (+ 0 0) into 0
14.612 * [backup-simplify]: Simplify 0 into 0
14.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.613 * [backup-simplify]: Simplify (+ 0 0) into 0
14.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.614 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
14.614 * [taylor]: Taking taylor expansion of -1/2 in n
14.614 * [backup-simplify]: Simplify -1/2 into -1/2
14.614 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.614 * [taylor]: Taking taylor expansion of n in n
14.615 * [backup-simplify]: Simplify 0 into 0
14.615 * [backup-simplify]: Simplify 1 into 1
14.615 * [backup-simplify]: Simplify (* 1 1) into 1
14.615 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
14.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
14.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.617 * [backup-simplify]: Simplify 0 into 0
14.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.618 * [backup-simplify]: Simplify 0 into 0
14.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
14.621 * [backup-simplify]: Simplify (- 0) into 0
14.621 * [backup-simplify]: Simplify (+ 0 0) into 0
14.621 * [backup-simplify]: Simplify 0 into 0
14.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.623 * [backup-simplify]: Simplify (+ 0 0) into 0
14.626 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.626 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
14.626 * [taylor]: Taking taylor expansion of 1/3 in n
14.626 * [backup-simplify]: Simplify 1/3 into 1/3
14.626 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.626 * [taylor]: Taking taylor expansion of n in n
14.626 * [backup-simplify]: Simplify 0 into 0
14.626 * [backup-simplify]: Simplify 1 into 1
14.627 * [backup-simplify]: Simplify (* 1 1) into 1
14.627 * [backup-simplify]: Simplify (* 1 1) into 1
14.627 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
14.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
14.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.636 * [backup-simplify]: Simplify 0 into 0
14.636 * [backup-simplify]: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i)))
14.637 * [backup-simplify]: Simplify (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) into (log1p (/ n i))
14.637 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0
14.637 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.637 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.637 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.637 * [taylor]: Taking taylor expansion of 1 in n
14.637 * [backup-simplify]: Simplify 1 into 1
14.637 * [taylor]: Taking taylor expansion of (/ n i) in n
14.637 * [taylor]: Taking taylor expansion of n in n
14.637 * [backup-simplify]: Simplify 0 into 0
14.637 * [backup-simplify]: Simplify 1 into 1
14.637 * [taylor]: Taking taylor expansion of i in n
14.637 * [backup-simplify]: Simplify i into i
14.637 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.638 * [backup-simplify]: Simplify (+ 1 0) into 1
14.638 * [backup-simplify]: Simplify (log 1) into 0
14.638 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.638 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.638 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.638 * [taylor]: Taking taylor expansion of 1 in i
14.638 * [backup-simplify]: Simplify 1 into 1
14.638 * [taylor]: Taking taylor expansion of (/ n i) in i
14.638 * [taylor]: Taking taylor expansion of n in i
14.638 * [backup-simplify]: Simplify n into n
14.638 * [taylor]: Taking taylor expansion of i in i
14.638 * [backup-simplify]: Simplify 0 into 0
14.638 * [backup-simplify]: Simplify 1 into 1
14.638 * [backup-simplify]: Simplify (/ n 1) into n
14.638 * [backup-simplify]: Simplify (+ 0 n) into n
14.639 * [backup-simplify]: Simplify (log n) into (log n)
14.639 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.639 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.639 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.639 * [taylor]: Taking taylor expansion of 1 in i
14.639 * [backup-simplify]: Simplify 1 into 1
14.639 * [taylor]: Taking taylor expansion of (/ n i) in i
14.639 * [taylor]: Taking taylor expansion of n in i
14.639 * [backup-simplify]: Simplify n into n
14.639 * [taylor]: Taking taylor expansion of i in i
14.639 * [backup-simplify]: Simplify 0 into 0
14.639 * [backup-simplify]: Simplify 1 into 1
14.639 * [backup-simplify]: Simplify (/ n 1) into n
14.639 * [backup-simplify]: Simplify (+ 0 n) into n
14.639 * [backup-simplify]: Simplify (log n) into (log n)
14.640 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.640 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.640 * [taylor]: Taking taylor expansion of (log n) in n
14.640 * [taylor]: Taking taylor expansion of n in n
14.640 * [backup-simplify]: Simplify 0 into 0
14.640 * [backup-simplify]: Simplify 1 into 1
14.640 * [backup-simplify]: Simplify (log 1) into 0
14.640 * [taylor]: Taking taylor expansion of (log i) in n
14.640 * [taylor]: Taking taylor expansion of i in n
14.640 * [backup-simplify]: Simplify i into i
14.640 * [backup-simplify]: Simplify (log i) into (log i)
14.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.641 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.641 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.641 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
14.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.642 * [backup-simplify]: Simplify (+ 1 0) into 1
14.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.643 * [taylor]: Taking taylor expansion of n in n
14.643 * [backup-simplify]: Simplify 0 into 0
14.643 * [backup-simplify]: Simplify 1 into 1
14.644 * [backup-simplify]: Simplify (/ 1 1) into 1
14.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.645 * [backup-simplify]: Simplify 0 into 0
14.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
14.647 * [backup-simplify]: Simplify (- 0) into 0
14.648 * [backup-simplify]: Simplify (+ 0 0) into 0
14.648 * [backup-simplify]: Simplify 0 into 0
14.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.650 * [backup-simplify]: Simplify (+ 0 0) into 0
14.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.651 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
14.651 * [taylor]: Taking taylor expansion of -1/2 in n
14.651 * [backup-simplify]: Simplify -1/2 into -1/2
14.651 * [taylor]: Taking taylor expansion of (pow n 2) in n
14.651 * [taylor]: Taking taylor expansion of n in n
14.651 * [backup-simplify]: Simplify 0 into 0
14.651 * [backup-simplify]: Simplify 1 into 1
14.652 * [backup-simplify]: Simplify (* 1 1) into 1
14.652 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
14.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
14.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.656 * [backup-simplify]: Simplify 0 into 0
14.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.657 * [backup-simplify]: Simplify 0 into 0
14.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
14.668 * [backup-simplify]: Simplify (- 0) into 0
14.668 * [backup-simplify]: Simplify (+ 0 0) into 0
14.668 * [backup-simplify]: Simplify 0 into 0
14.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.671 * [backup-simplify]: Simplify (+ 0 0) into 0
14.673 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.673 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
14.673 * [taylor]: Taking taylor expansion of 1/3 in n
14.673 * [backup-simplify]: Simplify 1/3 into 1/3
14.673 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.673 * [taylor]: Taking taylor expansion of n in n
14.673 * [backup-simplify]: Simplify 0 into 0
14.673 * [backup-simplify]: Simplify 1 into 1
14.674 * [backup-simplify]: Simplify (* 1 1) into 1
14.674 * [backup-simplify]: Simplify (* 1 1) into 1
14.675 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
14.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
14.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.683 * [backup-simplify]: Simplify 0 into 0
14.683 * [backup-simplify]: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i)))
14.683 * * * * [progress]: [ 4 / 4 ] generating series at (2)
14.683 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) into (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i))
14.683 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in (i n) around 0
14.683 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in n
14.683 * [taylor]: Taking taylor expansion of 100 in n
14.683 * [backup-simplify]: Simplify 100 into 100
14.683 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in n
14.684 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in n
14.684 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in n
14.684 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.684 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n
14.684 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
14.684 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
14.684 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.684 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
14.684 * [taylor]: Taking taylor expansion of 1 in n
14.684 * [backup-simplify]: Simplify 1 into 1
14.684 * [taylor]: Taking taylor expansion of (/ i n) in n
14.684 * [taylor]: Taking taylor expansion of i in n
14.684 * [backup-simplify]: Simplify i into i
14.684 * [taylor]: Taking taylor expansion of n in n
14.684 * [backup-simplify]: Simplify 0 into 0
14.684 * [backup-simplify]: Simplify 1 into 1
14.684 * [backup-simplify]: Simplify (/ i 1) into i
14.684 * [backup-simplify]: Simplify (+ 0 i) into i
14.684 * [backup-simplify]: Simplify (log i) into (log i)
14.684 * [taylor]: Taking taylor expansion of n in n
14.684 * [backup-simplify]: Simplify 0 into 0
14.684 * [backup-simplify]: Simplify 1 into 1
14.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.685 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
14.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
14.687 * [backup-simplify]: Simplify (+ 1 0) into 1
14.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
14.688 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
14.688 * [backup-simplify]: Simplify (exp 0) into 1
14.688 * [taylor]: Taking taylor expansion of 1 in n
14.688 * [backup-simplify]: Simplify 1 into 1
14.688 * [taylor]: Taking taylor expansion of n in n
14.688 * [backup-simplify]: Simplify 0 into 0
14.688 * [backup-simplify]: Simplify 1 into 1
14.688 * [taylor]: Taking taylor expansion of i in n
14.688 * [backup-simplify]: Simplify i into i
14.689 * [backup-simplify]: Simplify (- 1) into -1
14.689 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.690 * [backup-simplify]: Simplify (* 0 0) into 0
14.690 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
14.690 * [backup-simplify]: Simplify (- 0) into 0
14.690 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
14.691 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
14.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
14.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.692 * [backup-simplify]: Simplify (+ 0 0) into 0
14.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
14.693 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i)
14.694 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
14.694 * [backup-simplify]: Simplify (- 0) into 0
14.694 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
14.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n))
14.695 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
14.695 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in i
14.695 * [taylor]: Taking taylor expansion of 100 in i
14.695 * [backup-simplify]: Simplify 100 into 100
14.695 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
14.695 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
14.695 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
14.696 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.696 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
14.696 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.696 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.696 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.696 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.696 * [taylor]: Taking taylor expansion of 1 in i
14.696 * [backup-simplify]: Simplify 1 into 1
14.696 * [taylor]: Taking taylor expansion of (/ i n) in i
14.696 * [taylor]: Taking taylor expansion of i in i
14.696 * [backup-simplify]: Simplify 0 into 0
14.696 * [backup-simplify]: Simplify 1 into 1
14.696 * [taylor]: Taking taylor expansion of n in i
14.696 * [backup-simplify]: Simplify n into n
14.696 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.696 * [backup-simplify]: Simplify (+ 1 0) into 1
14.696 * [backup-simplify]: Simplify (log 1) into 0
14.696 * [taylor]: Taking taylor expansion of n in i
14.696 * [backup-simplify]: Simplify n into n
14.696 * [backup-simplify]: Simplify (* 0 n) into 0
14.697 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.697 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
14.697 * [backup-simplify]: Simplify (exp 0) into 1
14.697 * [taylor]: Taking taylor expansion of 1 in i
14.697 * [backup-simplify]: Simplify 1 into 1
14.697 * [taylor]: Taking taylor expansion of n in i
14.697 * [backup-simplify]: Simplify n into n
14.697 * [taylor]: Taking taylor expansion of i in i
14.697 * [backup-simplify]: Simplify 0 into 0
14.697 * [backup-simplify]: Simplify 1 into 1
14.698 * [backup-simplify]: Simplify (- 1) into -1
14.698 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.698 * [backup-simplify]: Simplify (* 0 n) into 0
14.699 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.699 * [backup-simplify]: Simplify (- 0) into 0
14.699 * [backup-simplify]: Simplify (+ 1 0) into 1
14.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
14.699 * [backup-simplify]: Simplify (/ n 1) into n
14.699 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in i
14.699 * [taylor]: Taking taylor expansion of 100 in i
14.699 * [backup-simplify]: Simplify 100 into 100
14.699 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
14.700 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
14.700 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
14.700 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
14.700 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
14.700 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
14.700 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
14.700 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
14.700 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
14.700 * [taylor]: Taking taylor expansion of 1 in i
14.700 * [backup-simplify]: Simplify 1 into 1
14.700 * [taylor]: Taking taylor expansion of (/ i n) in i
14.700 * [taylor]: Taking taylor expansion of i in i
14.700 * [backup-simplify]: Simplify 0 into 0
14.700 * [backup-simplify]: Simplify 1 into 1
14.700 * [taylor]: Taking taylor expansion of n in i
14.700 * [backup-simplify]: Simplify n into n
14.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.700 * [backup-simplify]: Simplify (+ 1 0) into 1
14.700 * [backup-simplify]: Simplify (log 1) into 0
14.700 * [taylor]: Taking taylor expansion of n in i
14.700 * [backup-simplify]: Simplify n into n
14.700 * [backup-simplify]: Simplify (* 0 n) into 0
14.701 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
14.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
14.701 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
14.701 * [backup-simplify]: Simplify (exp 0) into 1
14.701 * [taylor]: Taking taylor expansion of 1 in i
14.701 * [backup-simplify]: Simplify 1 into 1
14.701 * [taylor]: Taking taylor expansion of n in i
14.701 * [backup-simplify]: Simplify n into n
14.701 * [taylor]: Taking taylor expansion of i in i
14.701 * [backup-simplify]: Simplify 0 into 0
14.701 * [backup-simplify]: Simplify 1 into 1
14.702 * [backup-simplify]: Simplify (- 1) into -1
14.702 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.702 * [backup-simplify]: Simplify (* 0 n) into 0
14.703 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.703 * [backup-simplify]: Simplify (- 0) into 0
14.703 * [backup-simplify]: Simplify (+ 1 0) into 1
14.703 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
14.703 * [backup-simplify]: Simplify (/ n 1) into n
14.704 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
14.704 * [taylor]: Taking taylor expansion of (* 100 n) in n
14.704 * [taylor]: Taking taylor expansion of 100 in n
14.704 * [backup-simplify]: Simplify 100 into 100
14.704 * [taylor]: Taking taylor expansion of n in n
14.704 * [backup-simplify]: Simplify 0 into 0
14.704 * [backup-simplify]: Simplify 1 into 1
14.705 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
14.705 * [backup-simplify]: Simplify 0 into 0
14.705 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
14.705 * [backup-simplify]: Simplify (+ 0 0) into 0
14.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
14.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
14.707 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
14.708 * [backup-simplify]: Simplify (- 0) into 0
14.708 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
14.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
14.709 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
14.709 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
14.709 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
14.709 * [taylor]: Taking taylor expansion of (* 50 n) in n
14.709 * [taylor]: Taking taylor expansion of 50 in n
14.709 * [backup-simplify]: Simplify 50 into 50
14.709 * [taylor]: Taking taylor expansion of n in n
14.709 * [backup-simplify]: Simplify 0 into 0
14.709 * [backup-simplify]: Simplify 1 into 1
14.709 * [taylor]: Taking taylor expansion of 50 in n
14.709 * [backup-simplify]: Simplify 50 into 50
14.710 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
14.710 * [backup-simplify]: Simplify (- 0) into 0
14.710 * [backup-simplify]: Simplify (+ 0 0) into 0
14.710 * [backup-simplify]: Simplify 0 into 0
14.711 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.711 * [backup-simplify]: Simplify 0 into 0
14.711 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
14.711 * [backup-simplify]: Simplify (+ 0 0) into 0
14.713 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
14.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
14.715 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
14.715 * [backup-simplify]: Simplify (- 0) into 0
14.715 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
14.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
14.717 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
14.717 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50)
14.717 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
14.717 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
14.717 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
14.717 * [taylor]: Taking taylor expansion of 50/3 in n
14.717 * [backup-simplify]: Simplify 50/3 into 50/3
14.717 * [taylor]: Taking taylor expansion of n in n
14.717 * [backup-simplify]: Simplify 0 into 0
14.717 * [backup-simplify]: Simplify 1 into 1
14.717 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
14.717 * [taylor]: Taking taylor expansion of 100/3 in n
14.717 * [backup-simplify]: Simplify 100/3 into 100/3
14.717 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.717 * [taylor]: Taking taylor expansion of n in n
14.717 * [backup-simplify]: Simplify 0 into 0
14.717 * [backup-simplify]: Simplify 1 into 1
14.718 * [backup-simplify]: Simplify (/ 1 1) into 1
14.718 * [taylor]: Taking taylor expansion of 50 in n
14.718 * [backup-simplify]: Simplify 50 into 50
14.718 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
14.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.721 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.721 * [backup-simplify]: Simplify (+ 0 0) into 0
14.721 * [backup-simplify]: Simplify (- 0) into 0
14.721 * [backup-simplify]: Simplify (+ 0 0) into 0
14.721 * [backup-simplify]: Simplify 0 into 0
14.722 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.722 * [backup-simplify]: Simplify (- 0) into 0
14.723 * [backup-simplify]: Simplify (+ 0 0) into 0
14.723 * [backup-simplify]: Simplify 0 into 0
14.724 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
14.724 * [backup-simplify]: Simplify 0 into 0
14.724 * [backup-simplify]: Simplify 0 into 0
14.724 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n))) (/ (/ 1 i) (/ 1 n)))) into (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n))
14.724 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in (i n) around 0
14.725 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in n
14.725 * [taylor]: Taking taylor expansion of 100 in n
14.725 * [backup-simplify]: Simplify 100 into 100
14.725 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in n
14.725 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in n
14.725 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in n
14.725 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.725 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n
14.725 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.725 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.725 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.725 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.725 * [taylor]: Taking taylor expansion of 1 in n
14.725 * [backup-simplify]: Simplify 1 into 1
14.725 * [taylor]: Taking taylor expansion of (/ n i) in n
14.725 * [taylor]: Taking taylor expansion of n in n
14.725 * [backup-simplify]: Simplify 0 into 0
14.725 * [backup-simplify]: Simplify 1 into 1
14.725 * [taylor]: Taking taylor expansion of i in n
14.725 * [backup-simplify]: Simplify i into i
14.725 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.726 * [backup-simplify]: Simplify (+ 1 0) into 1
14.726 * [backup-simplify]: Simplify (log 1) into 0
14.726 * [taylor]: Taking taylor expansion of n in n
14.726 * [backup-simplify]: Simplify 0 into 0
14.726 * [backup-simplify]: Simplify 1 into 1
14.726 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.727 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.727 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
14.727 * [taylor]: Taking taylor expansion of 1 in n
14.727 * [backup-simplify]: Simplify 1 into 1
14.727 * [taylor]: Taking taylor expansion of i in n
14.727 * [backup-simplify]: Simplify i into i
14.727 * [taylor]: Taking taylor expansion of n in n
14.727 * [backup-simplify]: Simplify 0 into 0
14.727 * [backup-simplify]: Simplify 1 into 1
14.728 * [backup-simplify]: Simplify (- 1) into -1
14.728 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
14.728 * [backup-simplify]: Simplify (* (- (exp (/ 1 i)) 1) i) into (* (- (exp (/ 1 i)) 1) i)
14.728 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
14.728 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in i
14.728 * [taylor]: Taking taylor expansion of 100 in i
14.728 * [backup-simplify]: Simplify 100 into 100
14.728 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
14.728 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
14.728 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
14.728 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.728 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
14.728 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.728 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.728 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.728 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.728 * [taylor]: Taking taylor expansion of 1 in i
14.728 * [backup-simplify]: Simplify 1 into 1
14.728 * [taylor]: Taking taylor expansion of (/ n i) in i
14.728 * [taylor]: Taking taylor expansion of n in i
14.728 * [backup-simplify]: Simplify n into n
14.728 * [taylor]: Taking taylor expansion of i in i
14.728 * [backup-simplify]: Simplify 0 into 0
14.729 * [backup-simplify]: Simplify 1 into 1
14.729 * [backup-simplify]: Simplify (/ n 1) into n
14.729 * [backup-simplify]: Simplify (+ 0 n) into n
14.729 * [backup-simplify]: Simplify (log n) into (log n)
14.729 * [taylor]: Taking taylor expansion of n in i
14.729 * [backup-simplify]: Simplify n into n
14.729 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.730 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.730 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.730 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.730 * [taylor]: Taking taylor expansion of 1 in i
14.730 * [backup-simplify]: Simplify 1 into 1
14.730 * [taylor]: Taking taylor expansion of i in i
14.730 * [backup-simplify]: Simplify 0 into 0
14.730 * [backup-simplify]: Simplify 1 into 1
14.730 * [taylor]: Taking taylor expansion of n in i
14.730 * [backup-simplify]: Simplify n into n
14.730 * [backup-simplify]: Simplify (- 1) into -1
14.731 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.731 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
14.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.732 * [backup-simplify]: Simplify (+ 1 0) into 1
14.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.733 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.733 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.734 * [backup-simplify]: Simplify (- 0) into 0
14.734 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.734 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.734 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
14.734 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in i
14.735 * [taylor]: Taking taylor expansion of 100 in i
14.735 * [backup-simplify]: Simplify 100 into 100
14.735 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
14.735 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
14.735 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
14.735 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
14.735 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
14.735 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.735 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.735 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.735 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.735 * [taylor]: Taking taylor expansion of 1 in i
14.735 * [backup-simplify]: Simplify 1 into 1
14.735 * [taylor]: Taking taylor expansion of (/ n i) in i
14.735 * [taylor]: Taking taylor expansion of n in i
14.735 * [backup-simplify]: Simplify n into n
14.735 * [taylor]: Taking taylor expansion of i in i
14.735 * [backup-simplify]: Simplify 0 into 0
14.735 * [backup-simplify]: Simplify 1 into 1
14.735 * [backup-simplify]: Simplify (/ n 1) into n
14.735 * [backup-simplify]: Simplify (+ 0 n) into n
14.735 * [backup-simplify]: Simplify (log n) into (log n)
14.735 * [taylor]: Taking taylor expansion of n in i
14.735 * [backup-simplify]: Simplify n into n
14.736 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.736 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.736 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.736 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.736 * [taylor]: Taking taylor expansion of 1 in i
14.736 * [backup-simplify]: Simplify 1 into 1
14.737 * [taylor]: Taking taylor expansion of i in i
14.737 * [backup-simplify]: Simplify 0 into 0
14.737 * [backup-simplify]: Simplify 1 into 1
14.737 * [taylor]: Taking taylor expansion of n in i
14.737 * [backup-simplify]: Simplify n into n
14.737 * [backup-simplify]: Simplify (- 1) into -1
14.737 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.737 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
14.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.739 * [backup-simplify]: Simplify (+ 1 0) into 1
14.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.740 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.740 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.740 * [backup-simplify]: Simplify (- 0) into 0
14.741 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.741 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.741 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
14.741 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
14.741 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
14.741 * [taylor]: Taking taylor expansion of 100 in n
14.741 * [backup-simplify]: Simplify 100 into 100
14.741 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
14.741 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
14.742 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.742 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.742 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.742 * [taylor]: Taking taylor expansion of (log n) in n
14.742 * [taylor]: Taking taylor expansion of n in n
14.742 * [backup-simplify]: Simplify 0 into 0
14.742 * [backup-simplify]: Simplify 1 into 1
14.742 * [backup-simplify]: Simplify (log 1) into 0
14.742 * [taylor]: Taking taylor expansion of (log i) in n
14.742 * [taylor]: Taking taylor expansion of i in n
14.742 * [backup-simplify]: Simplify i into i
14.742 * [backup-simplify]: Simplify (log i) into (log i)
14.742 * [taylor]: Taking taylor expansion of n in n
14.742 * [backup-simplify]: Simplify 0 into 0
14.742 * [backup-simplify]: Simplify 1 into 1
14.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.743 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.743 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.743 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.743 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.743 * [taylor]: Taking taylor expansion of 1 in n
14.743 * [backup-simplify]: Simplify 1 into 1
14.743 * [taylor]: Taking taylor expansion of n in n
14.743 * [backup-simplify]: Simplify 0 into 0
14.743 * [backup-simplify]: Simplify 1 into 1
14.744 * [backup-simplify]: Simplify (- 1) into -1
14.744 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.744 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
14.744 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
14.744 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
14.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.746 * [backup-simplify]: Simplify (+ 0 0) into 0
14.748 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.748 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.749 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
14.749 * [backup-simplify]: Simplify (- 0) into 0
14.749 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
14.750 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 1) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
14.750 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
14.750 * [backup-simplify]: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))
14.750 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
14.750 * [taylor]: Taking taylor expansion of 100 in n
14.750 * [backup-simplify]: Simplify 100 into 100
14.750 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
14.750 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.750 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.751 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.751 * [taylor]: Taking taylor expansion of (log n) in n
14.751 * [taylor]: Taking taylor expansion of n in n
14.751 * [backup-simplify]: Simplify 0 into 0
14.751 * [backup-simplify]: Simplify 1 into 1
14.751 * [backup-simplify]: Simplify (log 1) into 0
14.751 * [taylor]: Taking taylor expansion of (log i) in n
14.751 * [taylor]: Taking taylor expansion of i in n
14.751 * [backup-simplify]: Simplify i into i
14.751 * [backup-simplify]: Simplify (log i) into (log i)
14.751 * [taylor]: Taking taylor expansion of n in n
14.751 * [backup-simplify]: Simplify 0 into 0
14.751 * [backup-simplify]: Simplify 1 into 1
14.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.751 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.751 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.751 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.752 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.752 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.752 * [taylor]: Taking taylor expansion of n in n
14.752 * [backup-simplify]: Simplify 0 into 0
14.752 * [backup-simplify]: Simplify 1 into 1
14.752 * [backup-simplify]: Simplify (* 1 1) into 1
14.752 * [backup-simplify]: Simplify (* 1 1) into 1
14.752 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.756 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
14.756 * [backup-simplify]: Simplify 0 into 0
14.757 * [backup-simplify]: Simplify (- 0) into 0
14.757 * [backup-simplify]: Simplify (+ 0 0) into 0
14.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
14.758 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
14.758 * [backup-simplify]: Simplify 0 into 0
14.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.759 * [backup-simplify]: Simplify (+ 0 0) into 0
14.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.762 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
14.762 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
14.762 * [backup-simplify]: Simplify (- 0) into 0
14.763 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
14.764 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 1) (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 0)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
14.765 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
14.765 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
14.765 * [taylor]: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
14.765 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
14.765 * [taylor]: Taking taylor expansion of 50 in n
14.765 * [backup-simplify]: Simplify 50 into 50
14.765 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
14.765 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.765 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.765 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.765 * [taylor]: Taking taylor expansion of (log n) in n
14.765 * [taylor]: Taking taylor expansion of n in n
14.765 * [backup-simplify]: Simplify 0 into 0
14.766 * [backup-simplify]: Simplify 1 into 1
14.766 * [backup-simplify]: Simplify (log 1) into 0
14.766 * [taylor]: Taking taylor expansion of (log i) in n
14.766 * [taylor]: Taking taylor expansion of i in n
14.766 * [backup-simplify]: Simplify i into i
14.766 * [backup-simplify]: Simplify (log i) into (log i)
14.766 * [taylor]: Taking taylor expansion of n in n
14.766 * [backup-simplify]: Simplify 0 into 0
14.766 * [backup-simplify]: Simplify 1 into 1
14.766 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.766 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.766 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.766 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.766 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.767 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.767 * [taylor]: Taking taylor expansion of n in n
14.767 * [backup-simplify]: Simplify 0 into 0
14.767 * [backup-simplify]: Simplify 1 into 1
14.767 * [backup-simplify]: Simplify (* 1 1) into 1
14.767 * [backup-simplify]: Simplify (* 1 1) into 1
14.767 * [backup-simplify]: Simplify (* 1 1) into 1
14.767 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.767 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
14.767 * [taylor]: Taking taylor expansion of 50 in n
14.768 * [backup-simplify]: Simplify 50 into 50
14.768 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
14.768 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.768 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.768 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.768 * [taylor]: Taking taylor expansion of (log n) in n
14.768 * [taylor]: Taking taylor expansion of n in n
14.768 * [backup-simplify]: Simplify 0 into 0
14.768 * [backup-simplify]: Simplify 1 into 1
14.768 * [backup-simplify]: Simplify (log 1) into 0
14.768 * [taylor]: Taking taylor expansion of (log i) in n
14.768 * [taylor]: Taking taylor expansion of i in n
14.768 * [backup-simplify]: Simplify i into i
14.768 * [backup-simplify]: Simplify (log i) into (log i)
14.768 * [taylor]: Taking taylor expansion of n in n
14.768 * [backup-simplify]: Simplify 0 into 0
14.768 * [backup-simplify]: Simplify 1 into 1
14.768 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.768 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.768 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.768 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.769 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.769 * [taylor]: Taking taylor expansion of (pow n 4) in n
14.769 * [taylor]: Taking taylor expansion of n in n
14.769 * [backup-simplify]: Simplify 0 into 0
14.769 * [backup-simplify]: Simplify 1 into 1
14.769 * [backup-simplify]: Simplify (* 1 1) into 1
14.769 * [backup-simplify]: Simplify (* 1 1) into 1
14.769 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.795 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
14.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.804 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
14.804 * [backup-simplify]: Simplify (- 0) into 0
14.804 * [backup-simplify]: Simplify (+ 0 0) into 0
14.804 * [backup-simplify]: Simplify 0 into 0
14.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.808 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
14.808 * [backup-simplify]: Simplify 0 into 0
14.808 * [backup-simplify]: Simplify (- 0) into 0
14.808 * [backup-simplify]: Simplify (+ 0 0) into 0
14.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.810 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
14.810 * [backup-simplify]: Simplify 0 into 0
14.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.812 * [backup-simplify]: Simplify (+ 0 0) into 0
14.814 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
14.815 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
14.816 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
14.816 * [backup-simplify]: Simplify (- 0) into 0
14.817 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
14.819 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0) (+ (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 1) (* (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) 0))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
14.820 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
14.821 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
14.821 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
14.821 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
14.821 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
14.821 * [taylor]: Taking taylor expansion of 50/3 in n
14.821 * [backup-simplify]: Simplify 50/3 into 50/3
14.821 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
14.821 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.821 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.821 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.821 * [taylor]: Taking taylor expansion of (log n) in n
14.821 * [taylor]: Taking taylor expansion of n in n
14.821 * [backup-simplify]: Simplify 0 into 0
14.821 * [backup-simplify]: Simplify 1 into 1
14.822 * [backup-simplify]: Simplify (log 1) into 0
14.822 * [taylor]: Taking taylor expansion of (log i) in n
14.822 * [taylor]: Taking taylor expansion of i in n
14.822 * [backup-simplify]: Simplify i into i
14.822 * [backup-simplify]: Simplify (log i) into (log i)
14.822 * [taylor]: Taking taylor expansion of n in n
14.822 * [backup-simplify]: Simplify 0 into 0
14.822 * [backup-simplify]: Simplify 1 into 1
14.822 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.822 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.822 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.822 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.822 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.822 * [taylor]: Taking taylor expansion of (pow n 7) in n
14.822 * [taylor]: Taking taylor expansion of n in n
14.822 * [backup-simplify]: Simplify 0 into 0
14.822 * [backup-simplify]: Simplify 1 into 1
14.823 * [backup-simplify]: Simplify (* 1 1) into 1
14.823 * [backup-simplify]: Simplify (* 1 1) into 1
14.823 * [backup-simplify]: Simplify (* 1 1) into 1
14.824 * [backup-simplify]: Simplify (* 1 1) into 1
14.824 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.824 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
14.824 * [taylor]: Taking taylor expansion of 100/3 in n
14.824 * [backup-simplify]: Simplify 100/3 into 100/3
14.824 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
14.824 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.824 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.824 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.824 * [taylor]: Taking taylor expansion of (log n) in n
14.824 * [taylor]: Taking taylor expansion of n in n
14.824 * [backup-simplify]: Simplify 0 into 0
14.824 * [backup-simplify]: Simplify 1 into 1
14.824 * [backup-simplify]: Simplify (log 1) into 0
14.824 * [taylor]: Taking taylor expansion of (log i) in n
14.824 * [taylor]: Taking taylor expansion of i in n
14.824 * [backup-simplify]: Simplify i into i
14.824 * [backup-simplify]: Simplify (log i) into (log i)
14.824 * [taylor]: Taking taylor expansion of n in n
14.824 * [backup-simplify]: Simplify 0 into 0
14.824 * [backup-simplify]: Simplify 1 into 1
14.824 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.825 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.825 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.825 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.825 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.825 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.825 * [taylor]: Taking taylor expansion of n in n
14.825 * [backup-simplify]: Simplify 0 into 0
14.825 * [backup-simplify]: Simplify 1 into 1
14.825 * [backup-simplify]: Simplify (* 1 1) into 1
14.825 * [backup-simplify]: Simplify (* 1 1) into 1
14.826 * [backup-simplify]: Simplify (* 1 1) into 1
14.826 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.826 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
14.826 * [taylor]: Taking taylor expansion of 50 in n
14.826 * [backup-simplify]: Simplify 50 into 50
14.826 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
14.826 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
14.826 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.826 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.826 * [taylor]: Taking taylor expansion of (log n) in n
14.826 * [taylor]: Taking taylor expansion of n in n
14.826 * [backup-simplify]: Simplify 0 into 0
14.826 * [backup-simplify]: Simplify 1 into 1
14.826 * [backup-simplify]: Simplify (log 1) into 0
14.826 * [taylor]: Taking taylor expansion of (log i) in n
14.826 * [taylor]: Taking taylor expansion of i in n
14.826 * [backup-simplify]: Simplify i into i
14.826 * [backup-simplify]: Simplify (log i) into (log i)
14.826 * [taylor]: Taking taylor expansion of n in n
14.826 * [backup-simplify]: Simplify 0 into 0
14.826 * [backup-simplify]: Simplify 1 into 1
14.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.827 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.827 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.827 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.827 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
14.827 * [taylor]: Taking taylor expansion of (pow n 6) in n
14.827 * [taylor]: Taking taylor expansion of n in n
14.827 * [backup-simplify]: Simplify 0 into 0
14.827 * [backup-simplify]: Simplify 1 into 1
14.827 * [backup-simplify]: Simplify (* 1 1) into 1
14.827 * [backup-simplify]: Simplify (* 1 1) into 1
14.828 * [backup-simplify]: Simplify (* 1 1) into 1
14.828 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
14.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
14.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.855 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
14.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.873 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
14.874 * [backup-simplify]: Simplify (+ 0 0) into 0
14.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
14.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
14.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.900 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
14.900 * [backup-simplify]: Simplify (- 0) into 0
14.900 * [backup-simplify]: Simplify (+ 0 0) into 0
14.901 * [backup-simplify]: Simplify 0 into 0
14.901 * [backup-simplify]: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
14.901 * [backup-simplify]: Simplify (* 100 (/ (expm1 (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n)))) (/ (/ 1 (- i)) (/ 1 (- n))))) into (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n))
14.901 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in (i n) around 0
14.901 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in n
14.901 * [taylor]: Taking taylor expansion of 100 in n
14.901 * [backup-simplify]: Simplify 100 into 100
14.902 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in n
14.902 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in n
14.902 * [taylor]: Taking taylor expansion of i in n
14.902 * [backup-simplify]: Simplify i into i
14.902 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in n
14.902 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.902 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n
14.902 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
14.902 * [taylor]: Taking taylor expansion of -1 in n
14.902 * [backup-simplify]: Simplify -1 into -1
14.902 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
14.902 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
14.902 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.902 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
14.902 * [taylor]: Taking taylor expansion of 1 in n
14.902 * [backup-simplify]: Simplify 1 into 1
14.902 * [taylor]: Taking taylor expansion of (/ n i) in n
14.902 * [taylor]: Taking taylor expansion of n in n
14.902 * [backup-simplify]: Simplify 0 into 0
14.902 * [backup-simplify]: Simplify 1 into 1
14.902 * [taylor]: Taking taylor expansion of i in n
14.902 * [backup-simplify]: Simplify i into i
14.902 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
14.903 * [backup-simplify]: Simplify (+ 1 0) into 1
14.903 * [backup-simplify]: Simplify (log 1) into 0
14.903 * [taylor]: Taking taylor expansion of n in n
14.903 * [backup-simplify]: Simplify 0 into 0
14.903 * [backup-simplify]: Simplify 1 into 1
14.903 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
14.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
14.904 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
14.904 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
14.904 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
14.904 * [taylor]: Taking taylor expansion of 1 in n
14.904 * [backup-simplify]: Simplify 1 into 1
14.904 * [taylor]: Taking taylor expansion of n in n
14.904 * [backup-simplify]: Simplify 0 into 0
14.904 * [backup-simplify]: Simplify 1 into 1
14.905 * [backup-simplify]: Simplify (- 1) into -1
14.905 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1)
14.905 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1))
14.905 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1))
14.905 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in i
14.905 * [taylor]: Taking taylor expansion of 100 in i
14.905 * [backup-simplify]: Simplify 100 into 100
14.905 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
14.905 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
14.905 * [taylor]: Taking taylor expansion of i in i
14.905 * [backup-simplify]: Simplify 0 into 0
14.905 * [backup-simplify]: Simplify 1 into 1
14.905 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
14.905 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.905 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
14.905 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.905 * [taylor]: Taking taylor expansion of -1 in i
14.905 * [backup-simplify]: Simplify -1 into -1
14.905 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.905 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.905 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.906 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.906 * [taylor]: Taking taylor expansion of 1 in i
14.906 * [backup-simplify]: Simplify 1 into 1
14.906 * [taylor]: Taking taylor expansion of (/ n i) in i
14.906 * [taylor]: Taking taylor expansion of n in i
14.906 * [backup-simplify]: Simplify n into n
14.906 * [taylor]: Taking taylor expansion of i in i
14.906 * [backup-simplify]: Simplify 0 into 0
14.906 * [backup-simplify]: Simplify 1 into 1
14.906 * [backup-simplify]: Simplify (/ n 1) into n
14.906 * [backup-simplify]: Simplify (+ 0 n) into n
14.906 * [backup-simplify]: Simplify (log n) into (log n)
14.906 * [taylor]: Taking taylor expansion of n in i
14.906 * [backup-simplify]: Simplify n into n
14.906 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.907 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.907 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.907 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
14.907 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.907 * [taylor]: Taking taylor expansion of 1 in i
14.907 * [backup-simplify]: Simplify 1 into 1
14.907 * [taylor]: Taking taylor expansion of n in i
14.907 * [backup-simplify]: Simplify n into n
14.908 * [backup-simplify]: Simplify (- 1) into -1
14.908 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.908 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
14.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.910 * [backup-simplify]: Simplify (+ 1 0) into 1
14.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.911 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.911 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
14.911 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.912 * [backup-simplify]: Simplify (- 0) into 0
14.912 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.913 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.913 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
14.913 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in i
14.913 * [taylor]: Taking taylor expansion of 100 in i
14.913 * [backup-simplify]: Simplify 100 into 100
14.913 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
14.913 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
14.913 * [taylor]: Taking taylor expansion of i in i
14.913 * [backup-simplify]: Simplify 0 into 0
14.914 * [backup-simplify]: Simplify 1 into 1
14.914 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
14.914 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
14.914 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
14.914 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
14.914 * [taylor]: Taking taylor expansion of -1 in i
14.914 * [backup-simplify]: Simplify -1 into -1
14.914 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
14.914 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
14.914 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
14.914 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
14.914 * [taylor]: Taking taylor expansion of 1 in i
14.914 * [backup-simplify]: Simplify 1 into 1
14.914 * [taylor]: Taking taylor expansion of (/ n i) in i
14.914 * [taylor]: Taking taylor expansion of n in i
14.914 * [backup-simplify]: Simplify n into n
14.914 * [taylor]: Taking taylor expansion of i in i
14.914 * [backup-simplify]: Simplify 0 into 0
14.914 * [backup-simplify]: Simplify 1 into 1
14.914 * [backup-simplify]: Simplify (/ n 1) into n
14.914 * [backup-simplify]: Simplify (+ 0 n) into n
14.914 * [backup-simplify]: Simplify (log n) into (log n)
14.914 * [taylor]: Taking taylor expansion of n in i
14.915 * [backup-simplify]: Simplify n into n
14.915 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.916 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
14.916 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
14.916 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
14.916 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.916 * [taylor]: Taking taylor expansion of 1 in i
14.916 * [backup-simplify]: Simplify 1 into 1
14.916 * [taylor]: Taking taylor expansion of n in i
14.916 * [backup-simplify]: Simplify n into n
14.916 * [backup-simplify]: Simplify (- 1) into -1
14.917 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.917 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
14.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
14.918 * [backup-simplify]: Simplify (+ 1 0) into 1
14.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
14.919 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
14.919 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
14.920 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.920 * [backup-simplify]: Simplify (- 0) into 0
14.920 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.921 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.921 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
14.921 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
14.921 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
14.921 * [taylor]: Taking taylor expansion of 100 in n
14.921 * [backup-simplify]: Simplify 100 into 100
14.921 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
14.921 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
14.921 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.922 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.922 * [taylor]: Taking taylor expansion of -1 in n
14.922 * [backup-simplify]: Simplify -1 into -1
14.922 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.922 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.922 * [taylor]: Taking taylor expansion of (log n) in n
14.922 * [taylor]: Taking taylor expansion of n in n
14.922 * [backup-simplify]: Simplify 0 into 0
14.922 * [backup-simplify]: Simplify 1 into 1
14.922 * [backup-simplify]: Simplify (log 1) into 0
14.922 * [taylor]: Taking taylor expansion of (log i) in n
14.922 * [taylor]: Taking taylor expansion of i in n
14.922 * [backup-simplify]: Simplify i into i
14.922 * [backup-simplify]: Simplify (log i) into (log i)
14.922 * [taylor]: Taking taylor expansion of n in n
14.922 * [backup-simplify]: Simplify 0 into 0
14.922 * [backup-simplify]: Simplify 1 into 1
14.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.923 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.923 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.923 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.923 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.923 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.923 * [taylor]: Taking taylor expansion of 1 in n
14.923 * [backup-simplify]: Simplify 1 into 1
14.923 * [taylor]: Taking taylor expansion of n in n
14.923 * [backup-simplify]: Simplify 0 into 0
14.923 * [backup-simplify]: Simplify 1 into 1
14.924 * [backup-simplify]: Simplify (- 1) into -1
14.924 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.924 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
14.924 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
14.924 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
14.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.926 * [backup-simplify]: Simplify (+ 0 0) into 0
14.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
14.929 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
14.929 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
14.930 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
14.930 * [backup-simplify]: Simplify (- 0) into 0
14.930 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
14.931 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
14.931 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
14.932 * [backup-simplify]: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
14.932 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
14.932 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
14.932 * [taylor]: Taking taylor expansion of 100 in n
14.932 * [backup-simplify]: Simplify 100 into 100
14.932 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
14.932 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.932 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.932 * [taylor]: Taking taylor expansion of -1 in n
14.932 * [backup-simplify]: Simplify -1 into -1
14.932 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.932 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.932 * [taylor]: Taking taylor expansion of (log n) in n
14.932 * [taylor]: Taking taylor expansion of n in n
14.932 * [backup-simplify]: Simplify 0 into 0
14.932 * [backup-simplify]: Simplify 1 into 1
14.932 * [backup-simplify]: Simplify (log 1) into 0
14.932 * [taylor]: Taking taylor expansion of (log i) in n
14.932 * [taylor]: Taking taylor expansion of i in n
14.932 * [backup-simplify]: Simplify i into i
14.932 * [backup-simplify]: Simplify (log i) into (log i)
14.932 * [taylor]: Taking taylor expansion of n in n
14.932 * [backup-simplify]: Simplify 0 into 0
14.932 * [backup-simplify]: Simplify 1 into 1
14.933 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.933 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.933 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.933 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.933 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.933 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.933 * [taylor]: Taking taylor expansion of (pow n 3) in n
14.933 * [taylor]: Taking taylor expansion of n in n
14.933 * [backup-simplify]: Simplify 0 into 0
14.933 * [backup-simplify]: Simplify 1 into 1
14.933 * [backup-simplify]: Simplify (* 1 1) into 1
14.933 * [backup-simplify]: Simplify (* 1 1) into 1
14.934 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.938 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
14.938 * [backup-simplify]: Simplify (- 0) into 0
14.938 * [backup-simplify]: Simplify 0 into 0
14.938 * [backup-simplify]: Simplify (- 0) into 0
14.939 * [backup-simplify]: Simplify (+ 0 0) into 0
14.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
14.940 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
14.940 * [backup-simplify]: Simplify 0 into 0
14.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.943 * [backup-simplify]: Simplify (+ 0 0) into 0
14.945 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
14.946 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
14.947 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
14.948 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
14.948 * [backup-simplify]: Simplify (- 0) into 0
14.949 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
14.951 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
14.952 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
14.953 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
14.953 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
14.953 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
14.953 * [taylor]: Taking taylor expansion of 50 in n
14.953 * [backup-simplify]: Simplify 50 into 50
14.953 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
14.953 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.953 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.953 * [taylor]: Taking taylor expansion of -1 in n
14.953 * [backup-simplify]: Simplify -1 into -1
14.953 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.953 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.953 * [taylor]: Taking taylor expansion of (log n) in n
14.953 * [taylor]: Taking taylor expansion of n in n
14.954 * [backup-simplify]: Simplify 0 into 0
14.954 * [backup-simplify]: Simplify 1 into 1
14.954 * [backup-simplify]: Simplify (log 1) into 0
14.954 * [taylor]: Taking taylor expansion of (log i) in n
14.954 * [taylor]: Taking taylor expansion of i in n
14.954 * [backup-simplify]: Simplify i into i
14.954 * [backup-simplify]: Simplify (log i) into (log i)
14.954 * [taylor]: Taking taylor expansion of n in n
14.954 * [backup-simplify]: Simplify 0 into 0
14.954 * [backup-simplify]: Simplify 1 into 1
14.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.955 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.955 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.955 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.955 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.955 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.955 * [taylor]: Taking taylor expansion of (pow n 5) in n
14.955 * [taylor]: Taking taylor expansion of n in n
14.955 * [backup-simplify]: Simplify 0 into 0
14.955 * [backup-simplify]: Simplify 1 into 1
14.956 * [backup-simplify]: Simplify (* 1 1) into 1
14.956 * [backup-simplify]: Simplify (* 1 1) into 1
14.957 * [backup-simplify]: Simplify (* 1 1) into 1
14.957 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.957 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
14.957 * [taylor]: Taking taylor expansion of 50 in n
14.957 * [backup-simplify]: Simplify 50 into 50
14.957 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
14.957 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
14.957 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
14.957 * [taylor]: Taking taylor expansion of -1 in n
14.957 * [backup-simplify]: Simplify -1 into -1
14.957 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
14.957 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
14.957 * [taylor]: Taking taylor expansion of (log n) in n
14.957 * [taylor]: Taking taylor expansion of n in n
14.957 * [backup-simplify]: Simplify 0 into 0
14.957 * [backup-simplify]: Simplify 1 into 1
14.958 * [backup-simplify]: Simplify (log 1) into 0
14.958 * [taylor]: Taking taylor expansion of (log i) in n
14.958 * [taylor]: Taking taylor expansion of i in n
14.958 * [backup-simplify]: Simplify i into i
14.958 * [backup-simplify]: Simplify (log i) into (log i)
14.958 * [taylor]: Taking taylor expansion of n in n
14.958 * [backup-simplify]: Simplify 0 into 0
14.958 * [backup-simplify]: Simplify 1 into 1
14.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.958 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
14.958 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
14.958 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
14.959 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
14.959 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.959 * [taylor]: Taking taylor expansion of (pow n 4) in n
14.959 * [taylor]: Taking taylor expansion of n in n
14.959 * [backup-simplify]: Simplify 0 into 0
14.959 * [backup-simplify]: Simplify 1 into 1
14.959 * [backup-simplify]: Simplify (* 1 1) into 1
14.960 * [backup-simplify]: Simplify (* 1 1) into 1
14.960 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
14.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
14.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.980 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
14.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
14.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.992 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
14.992 * [backup-simplify]: Simplify (+ 0 0) into 0
14.992 * [backup-simplify]: Simplify 0 into 0
14.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.998 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
14.998 * [backup-simplify]: Simplify (- 0) into 0
14.998 * [backup-simplify]: Simplify 0 into 0
14.998 * [backup-simplify]: Simplify (- 0) into 0
14.999 * [backup-simplify]: Simplify (+ 0 0) into 0
15.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.001 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
15.001 * [backup-simplify]: Simplify 0 into 0
15.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.005 * [backup-simplify]: Simplify (+ 0 0) into 0
15.010 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
15.010 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
15.011 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow n 5))))) (+ (* 0 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))))) into (* 1/4 (/ 1 (pow n 5)))
15.013 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
15.013 * [backup-simplify]: Simplify (- 0) into 0
15.014 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
15.018 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
15.020 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
15.023 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
15.023 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
15.023 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
15.023 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
15.023 * [taylor]: Taking taylor expansion of 50/3 in n
15.023 * [backup-simplify]: Simplify 50/3 into 50/3
15.023 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
15.023 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
15.023 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
15.023 * [taylor]: Taking taylor expansion of -1 in n
15.023 * [backup-simplify]: Simplify -1 into -1
15.023 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
15.023 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
15.023 * [taylor]: Taking taylor expansion of (log n) in n
15.023 * [taylor]: Taking taylor expansion of n in n
15.023 * [backup-simplify]: Simplify 0 into 0
15.023 * [backup-simplify]: Simplify 1 into 1
15.024 * [backup-simplify]: Simplify (log 1) into 0
15.024 * [taylor]: Taking taylor expansion of (log i) in n
15.024 * [taylor]: Taking taylor expansion of i in n
15.024 * [backup-simplify]: Simplify i into i
15.024 * [backup-simplify]: Simplify (log i) into (log i)
15.024 * [taylor]: Taking taylor expansion of n in n
15.024 * [backup-simplify]: Simplify 0 into 0
15.024 * [backup-simplify]: Simplify 1 into 1
15.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.025 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
15.025 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
15.025 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
15.025 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
15.025 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.025 * [taylor]: Taking taylor expansion of (pow n 7) in n
15.025 * [taylor]: Taking taylor expansion of n in n
15.025 * [backup-simplify]: Simplify 0 into 0
15.025 * [backup-simplify]: Simplify 1 into 1
15.025 * [backup-simplify]: Simplify (* 1 1) into 1
15.026 * [backup-simplify]: Simplify (* 1 1) into 1
15.026 * [backup-simplify]: Simplify (* 1 1) into 1
15.027 * [backup-simplify]: Simplify (* 1 1) into 1
15.027 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.027 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
15.027 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
15.027 * [taylor]: Taking taylor expansion of 100/3 in n
15.027 * [backup-simplify]: Simplify 100/3 into 100/3
15.027 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
15.027 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
15.027 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
15.027 * [taylor]: Taking taylor expansion of -1 in n
15.027 * [backup-simplify]: Simplify -1 into -1
15.027 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
15.027 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
15.027 * [taylor]: Taking taylor expansion of (log n) in n
15.027 * [taylor]: Taking taylor expansion of n in n
15.027 * [backup-simplify]: Simplify 0 into 0
15.027 * [backup-simplify]: Simplify 1 into 1
15.032 * [backup-simplify]: Simplify (log 1) into 0
15.032 * [taylor]: Taking taylor expansion of (log i) in n
15.032 * [taylor]: Taking taylor expansion of i in n
15.032 * [backup-simplify]: Simplify i into i
15.032 * [backup-simplify]: Simplify (log i) into (log i)
15.033 * [taylor]: Taking taylor expansion of n in n
15.033 * [backup-simplify]: Simplify 0 into 0
15.033 * [backup-simplify]: Simplify 1 into 1
15.033 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.033 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
15.034 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
15.034 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
15.034 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
15.034 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.034 * [taylor]: Taking taylor expansion of (pow n 5) in n
15.034 * [taylor]: Taking taylor expansion of n in n
15.034 * [backup-simplify]: Simplify 0 into 0
15.034 * [backup-simplify]: Simplify 1 into 1
15.034 * [backup-simplify]: Simplify (* 1 1) into 1
15.035 * [backup-simplify]: Simplify (* 1 1) into 1
15.035 * [backup-simplify]: Simplify (* 1 1) into 1
15.035 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.035 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
15.035 * [taylor]: Taking taylor expansion of 50 in n
15.036 * [backup-simplify]: Simplify 50 into 50
15.036 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
15.036 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
15.036 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
15.036 * [taylor]: Taking taylor expansion of -1 in n
15.036 * [backup-simplify]: Simplify -1 into -1
15.036 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
15.036 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
15.036 * [taylor]: Taking taylor expansion of (log n) in n
15.036 * [taylor]: Taking taylor expansion of n in n
15.036 * [backup-simplify]: Simplify 0 into 0
15.036 * [backup-simplify]: Simplify 1 into 1
15.036 * [backup-simplify]: Simplify (log 1) into 0
15.036 * [taylor]: Taking taylor expansion of (log i) in n
15.036 * [taylor]: Taking taylor expansion of i in n
15.036 * [backup-simplify]: Simplify i into i
15.036 * [backup-simplify]: Simplify (log i) into (log i)
15.036 * [taylor]: Taking taylor expansion of n in n
15.036 * [backup-simplify]: Simplify 0 into 0
15.036 * [backup-simplify]: Simplify 1 into 1
15.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.037 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
15.037 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
15.037 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
15.037 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
15.037 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.037 * [taylor]: Taking taylor expansion of (pow n 6) in n
15.037 * [taylor]: Taking taylor expansion of n in n
15.037 * [backup-simplify]: Simplify 0 into 0
15.037 * [backup-simplify]: Simplify 1 into 1
15.038 * [backup-simplify]: Simplify (* 1 1) into 1
15.038 * [backup-simplify]: Simplify (* 1 1) into 1
15.039 * [backup-simplify]: Simplify (* 1 1) into 1
15.039 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
15.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
15.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
15.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
15.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
15.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
15.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.068 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
15.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
15.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.081 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
15.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
15.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
15.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.099 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
15.100 * [backup-simplify]: Simplify (+ 0 0) into 0
15.100 * [backup-simplify]: Simplify (+ 0 0) into 0
15.100 * [backup-simplify]: Simplify (- 0) into 0
15.100 * [backup-simplify]: Simplify 0 into 0
15.100 * [backup-simplify]: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
15.101 * * * [progress]: simplifying candidates
15.101 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (log1p (expm1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (expm1 (log1p (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 1)))>
15.101 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (expm1 (* (log1p (/ i n)) n))) (- (log i) (log n))))))>
15.101 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n))))))>
15.101 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (/ (* (* i i) i) (* (* n n) n))))))>
15.101 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (* (* (/ i n) (/ i n)) (/ i n))))))>
15.101 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (* (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.101 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (expm1 (* (log1p (/ i n)) n))) (- (/ i n)))))>
15.101 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (exp (* (log1p (/ i n)) n)) (/ i n)) (/ 1 (/ i n)))))>
15.101 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))))))>
15.101 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))))>
15.101 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n))))))>
15.101 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (sqrt n))))))>
15.101 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) 1)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n)))))>
15.101 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n))))))>
15.101 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (sqrt n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))))))>
15.101 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) 1)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n)))))>
15.102 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (* (cbrt n) (cbrt n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt n))))))>
15.102 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (sqrt n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n))))))>
15.102 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 1)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
15.102 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) 1) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
15.102 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ 1 n)))))>
15.102 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))))))>
15.102 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))))>
15.102 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n))))))>
15.102 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (sqrt n))))))>
15.102 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) 1)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n)))))>
15.102 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n))))))>
15.102 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))))))>
15.102 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n)))))>
15.102 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt n))))))>
15.102 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n))))))>
15.102 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 1)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
15.102 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) 1) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
15.102 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 n)))))>
15.102 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))))))>
15.102 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))))))>
15.102 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (cbrt n))))))>
15.102 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (sqrt n))))))>
15.102 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (/ 1 (/ (* (cbrt i) (cbrt i)) 1)) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) n)))))>
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15.106 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))))>
15.106 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n))))>
15.107 * * * * [progress]: [ 150 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n))))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt n)))))>
15.107 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n)))))>
15.107 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 1))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))>
15.107 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) 1)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))>
15.107 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 n))))>
15.107 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))))>
15.107 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))))>
15.107 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (cbrt n)))))>
15.107 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (sqrt n)))))>
15.107 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) n))))>
15.107 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (cbrt n)))))>
15.107 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (sqrt n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n)))))>
15.107 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) 1))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) n))))>
15.107 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n))))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i (cbrt n)))))>
15.107 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (sqrt n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i (sqrt n)))))>
15.107 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 1))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))>
15.107 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 1)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))>
15.107 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 i)) (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 n))))>
15.107 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 1) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))>
15.107 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 (/ i n))))>
15.107 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (expm1 (* (log1p (/ i n)) n)) i)) n))>
15.107 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (cbrt 100) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))))>
15.107 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (i n) (* (sqrt 100) (* (sqrt 100) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))))>
15.107 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))))>
15.107 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))>
15.107 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (i n) (posit16->real (real->posit16 (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))))>
15.108 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (i n) (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))>
15.108 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 0))>
15.108 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
15.108 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
15.108 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))>
15.108 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 0) (/ i n))))>
15.108 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 0) (/ i n))))>
15.108 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* 0 n)) (/ i n))))>
15.108 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* (- (log (/ 1 n)) (log (/ 1 i))) n)) (/ i n))))>
15.108 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)) (/ i n))))>
15.108 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (i n) 0)>
15.108 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
15.108 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
15.110 * [simplify]: Simplifying:
  (expm1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (log1p (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (- (log (expm1 (* (log1p (/ i n)) n))) (- (log i) (log n)))
  (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n)))
  (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (exp (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (* (* (/ i n) (/ i n)) (/ i n)))
  (* (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (- (expm1 (* (log1p (/ i n)) n)))
  (- (/ i n))
  (/ (exp (* (log1p (/ i n)) n)) (/ i n))
  (/ 1 (/ i n))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt (/ i n)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (sqrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (sqrt n)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) 1))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (sqrt n)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 1))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) 1)
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i)
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ 1 n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 1))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) 1)
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i)
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 n))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (cbrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (sqrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) n))
  (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (cbrt n)))
  (/ 1 (/ (sqrt i) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ 1 (/ (sqrt i) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) n))
  (/ 1 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i (cbrt n)))
  (/ 1 (/ 1 (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i (sqrt n)))
  (/ 1 (/ 1 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  (/ 1 1)
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  (/ 1 i)
  (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 n))
  (/ 1 (/ i n))
  (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 1))
  (/ (expm1 (* (log1p (/ i n)) n)) 1)
  (/ (expm1 (* (log1p (/ i n)) n)) i)
  (/ (/ i n) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (/ i n) (sqrt (expm1 (* (log1p (/ i n)) n))))
  (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))
  (/ (expm1 (* (log1p (/ i n)) n)) i)
  (real->posit16 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (expm1 (* (log1p (/ i n)) n))
  (log1p (* (log1p (/ i n)) n))
  (* (log1p (/ i n)) n)
  (+ (log (log1p (/ i n))) (log n))
  (log (* (log1p (/ i n)) n))
  (exp (* (log1p (/ i n)) n))
  (* (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n))) (* (* n n) n))
  (* (cbrt (* (log1p (/ i n)) n)) (cbrt (* (log1p (/ i n)) n)))
  (cbrt (* (log1p (/ i n)) n))
  (* (* (* (log1p (/ i n)) n) (* (log1p (/ i n)) n)) (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (log1p (/ i n)) (* (cbrt n) (cbrt n)))
  (* (log1p (/ i n)) (sqrt n))
  (* (log1p (/ i n)) 1)
  (* (cbrt (log1p (/ i n))) n)
  (* (sqrt (log1p (/ i n))) n)
  (* (log1p (/ i n)) n)
  (real->posit16 (* (log1p (/ i n)) n))
  (+ 1 (/ i n))
  (expm1 (log1p (/ i n)))
  (log1p (log1p (/ i n)))
  (log (log1p (/ i n)))
  (exp (log1p (/ i n)))
  (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))
  (cbrt (log1p (/ i n)))
  (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (real->posit16 (log1p (/ i n)))
  (expm1 (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (log1p (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (+ (log 100) (- (log (expm1 (* (log1p (/ i n)) n))) (- (log i) (log n))))
  (+ (log 100) (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n))))
  (+ (log 100) (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (log (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (exp (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (/ (* (* i i) i) (* (* n n) n))))
  (* (* (* 100 100) 100) (/ (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (* (* (/ i n) (/ i n)) (/ i n))))
  (* (* (* 100 100) 100) (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (cbrt (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) (cbrt (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))))
  (cbrt (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (* (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (sqrt (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (sqrt (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (sqrt 100) (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (sqrt 100) (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))))
  (* (sqrt 100) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))))
  (* 100 (* (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))))
  (* 100 (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt (/ i n))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 (sqrt n))))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ 1 1)))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) 1))
  (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1)))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n))))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ 1 1)))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) 1))
  (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i))
  (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ 1 (sqrt (/ i n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ (sqrt i) (sqrt n))))
  (* 100 (/ 1 (/ (sqrt i) 1)))
  (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ 1 (/ 1 (sqrt n))))
  (* 100 (/ 1 (/ 1 1)))
  (* 100 (/ 1 1))
  (* 100 (/ 1 i))
  (* 100 1)
  (* 100 (expm1 (* (log1p (/ i n)) n)))
  (* 100 (/ (expm1 (* (log1p (/ i n)) n)) i))
  (* (cbrt 100) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (sqrt 100) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* 100 (expm1 (* (log1p (/ i n)) n)))
  (real->posit16 (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  0
  (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)
  (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)
  i
  0
  0
  0
  (- (log (/ 1 n)) (log (/ 1 i)))
  (- (log (/ -1 n)) (log (/ -1 i)))
  0
  (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
  (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
15.115 * * [simplify]: iteration 0: 276 enodes
15.515 * * [simplify]: iteration 1: 724 enodes
15.737 * * [simplify]: iteration 2: 2615 enodes
16.570 * * [simplify]: iteration complete: 5000 enodes
16.570 * * [simplify]: Extracting #0: cost 187 inf + 0
16.572 * * [simplify]: Extracting #1: cost 1002 inf + 4
16.584 * * [simplify]: Extracting #2: cost 1475 inf + 4812
16.594 * * [simplify]: Extracting #3: cost 1327 inf + 36233
16.626 * * [simplify]: Extracting #4: cost 741 inf + 209263
16.708 * * [simplify]: Extracting #5: cost 79 inf + 474939
16.837 * * [simplify]: Extracting #6: cost 0 inf + 510349
16.932 * [simplify]: Simplified to:
  (expm1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (log1p (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (log (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (exp (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (- (expm1 (* (log1p (/ i n)) n)))
  (/ (- i) n)
  (/ (exp (* (log1p (/ i n)) n)) (/ i n))
  (/ n i)
  (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))
  (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n)))
  (* (sqrt n) (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i))))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt n)) (cbrt i))
  (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n))
  (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt (expm1 (* (log1p (/ i n)) n))))) (* (cbrt n) (cbrt n)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n)))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (sqrt n)))
  (* (sqrt n) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt i)))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) n))
  (* (* (cbrt n) (cbrt n)) (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt n)) i)
  (* (sqrt n) (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n)))
  (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (* n (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (cbrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (cbrt n))
  (* (/ (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (cbrt i)) (sqrt n))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (sqrt n))
  (/ (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (cbrt i))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) n))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n))) (cbrt n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt i))
  (/ (* n (sqrt (expm1 (* (log1p (/ i n)) n)))) (sqrt i))
  (* (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt n) (cbrt n)))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) (cbrt n))
  (* (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i (sqrt n)))
  (sqrt (expm1 (* (log1p (/ i n)) n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (sqrt (expm1 (* (log1p (/ i n)) n)))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))
  (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i)
  (* n (sqrt (expm1 (* (log1p (/ i n)) n))))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))
  (* (/ (cbrt n) (cbrt i)) (/ (cbrt n) (cbrt i)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (cbrt n)))
  (/ (sqrt n) (* (cbrt i) (cbrt i)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (sqrt n)))
  (/ (/ 1 (cbrt i)) (cbrt i))
  (* n (/ (expm1 (* (log1p (/ i n)) n)) (cbrt i)))
  (/ (* (cbrt n) (cbrt n)) (sqrt i))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (cbrt n)))
  (/ (sqrt n) (sqrt i))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (sqrt i)) (sqrt n))
  (/ 1 (sqrt i))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) n))
  (* (cbrt n) (cbrt n))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i (cbrt n)))
  (sqrt n)
  (* (/ (expm1 (* (log1p (/ i n)) n)) i) (sqrt n))
  1
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  1
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  (/ 1 i)
  (* (expm1 (* (log1p (/ i n)) n)) n)
  (/ n i)
  (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))
  (/ (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) (cbrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (/ (expm1 (* (log1p (/ i n)) n)) (cbrt i)) (cbrt i))
  (* (* (cbrt n) (cbrt n)) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt i)))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (sqrt i)) (sqrt n))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt i))
  (* (* (cbrt n) (cbrt n)) (expm1 (* (log1p (/ i n)) n)))
  (* (sqrt n) (expm1 (* (log1p (/ i n)) n)))
  (expm1 (* (log1p (/ i n)) n))
  (expm1 (* (log1p (/ i n)) n))
  (/ (expm1 (* (log1p (/ i n)) n)) i)
  (/ (/ i n) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (/ i n) (sqrt (expm1 (* (log1p (/ i n)) n))))
  (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))
  (/ (expm1 (* (log1p (/ i n)) n)) i)
  (real->posit16 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (expm1 (* (log1p (/ i n)) n))
  (log1p (* (log1p (/ i n)) n))
  (* (log1p (/ i n)) n)
  (log (* (log1p (/ i n)) n))
  (log (* (log1p (/ i n)) n))
  (exp (* (log1p (/ i n)) n))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* (log1p (/ i n)) n))
  (* (cbrt (* (log1p (/ i n)) n)) (cbrt (* (log1p (/ i n)) n)))
  (cbrt (* (log1p (/ i n)) n))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (* (sqrt n) (sqrt (log1p (/ i n))))
  (* (sqrt n) (sqrt (log1p (/ i n))))
  (* (log1p (/ i n)) (* (cbrt n) (cbrt n)))
  (* (log1p (/ i n)) (sqrt n))
  (log1p (/ i n))
  (* (cbrt (log1p (/ i n))) n)
  (* (sqrt (log1p (/ i n))) n)
  (* (log1p (/ i n)) n)
  (real->posit16 (* (log1p (/ i n)) n))
  (+ 1 (/ i n))
  (/ i n)
  (log1p (log1p (/ i n)))
  (log (log1p (/ i n)))
  (exp (log1p (/ i n)))
  (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))
  (cbrt (log1p (/ i n)))
  (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (real->posit16 (log1p (/ i n)))
  (expm1 (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (log1p (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100)
  (log (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (log (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (log (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (log (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (exp (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (* (* 1000000 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (* 1000000 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 1000000))
  (* (cbrt (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100)) (cbrt (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100)))
  (cbrt (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (* (* (* 100 (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))
  (sqrt (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (sqrt (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  (* 10 (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (* 10 (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))
  (/ (* (sqrt (expm1 (* (log1p (/ i n)) n))) 10) (sqrt (/ i n)))
  (/ (* (sqrt (expm1 (* (log1p (/ i n)) n))) 10) (sqrt (/ i n)))
  (/ 10 (/ (/ (sqrt i) (sqrt n)) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (/ 10 (/ (/ (sqrt i) (sqrt n)) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (* (* (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) 100)
  (* (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) 100)
  (/ 100 (* (/ (cbrt (/ i n)) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (/ i n)) (cbrt (expm1 (* (log1p (/ i n)) n))))))
  (/ (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt (/ i n)))
  (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ (cbrt i) (cbrt n)))) 100)
  (* 100 (* (sqrt n) (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)))))
  (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt i))) 100)
  (* (/ (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (/ (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt i)) (sqrt n))
  (/ (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (sqrt i))
  (* (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (* 100 (* (cbrt n) (cbrt n))))
  (* 100 (* (sqrt n) (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n))))))
  (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (* (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n))))
  (/ (* 100 (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ i (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (/ 100 (/ (* (cbrt (/ i n)) (cbrt (/ i n))) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (/ 100 (/ (sqrt (/ i n)) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (/ 100 (/ (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (/ 100 (/ (/ (* (cbrt i) (cbrt i)) (sqrt n)) (sqrt (expm1 (* (log1p (/ i n)) n)))))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt i)) (/ 100 (cbrt i)))
  (/ (* 100 (sqrt (expm1 (* (log1p (/ i n)) n)))) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ (* 100 (sqrt (expm1 (* (log1p (/ i n)) n)))) (/ (sqrt i) (sqrt n)))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt i)) 100)
  (* (* (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt n) (cbrt n))) 100)
  (* (sqrt (expm1 (* (log1p (/ i n)) n))) (* 100 (sqrt n)))
  (* 100 (sqrt (expm1 (* (log1p (/ i n)) n))))
  (* 100 (sqrt (expm1 (* (log1p (/ i n)) n))))
  (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) 100)
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 100 (sqrt (/ i n)))
  (/ (/ 100 (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (* (/ (/ 100 (cbrt i)) (cbrt i)) (sqrt n))
  (/ (/ 100 (cbrt i)) (cbrt i))
  (* (/ 100 (sqrt i)) (* (cbrt n) (cbrt n)))
  (* 100 (/ (sqrt n) (sqrt i)))
  (/ 100 (sqrt i))
  (* 100 (* (cbrt n) (cbrt n)))
  (* 100 (sqrt n))
  100
  100
  (/ 100 i)
  100
  (* (expm1 (* (log1p (/ i n)) n)) 100)
  (* 100 (/ (expm1 (* (log1p (/ i n)) n)) i))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (cbrt 100))
  (/ (* (expm1 (* (log1p (/ i n)) n)) 10) (/ i n))
  (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100)
  (* (expm1 (* (log1p (/ i n)) n)) 100)
  (real->posit16 (* (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 100))
  0
  (/ (expm1 (* n (log (/ i n)))) (/ i n))
  (/ (* n (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i)))))) i)
  i
  0
  0
  0
  (log (/ i n))
  (- (log (/ -1 n)) (log (/ -1 i)))
  0
  (/ (* 100 (expm1 (* n (log (/ i n))))) (/ i n))
  (/ 100 (/ i (* n (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i))))))))
16.954 * * * [progress]: adding candidates to table
17.828 * * [progress]: iteration 4 / 4
17.828 * * * [progress]: picking best candidate
17.868 * * * * [pick]: Picked  #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))>
17.868 * * * [progress]: localizing error
17.886 * * * [progress]: generating rewritten candidates
17.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
17.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
17.921 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
17.922 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
17.939 * * * [progress]: generating series expansions
17.939 * * * * [progress]: [ 1 / 4 ] generating series at (2)
17.939 * [backup-simplify]: Simplify (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) into (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i))
17.939 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in (i n) around 0
17.939 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in n
17.939 * [taylor]: Taking taylor expansion of 100 in n
17.939 * [backup-simplify]: Simplify 100 into 100
17.939 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in n
17.939 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in n
17.939 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in n
17.939 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
17.939 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n
17.940 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
17.940 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
17.940 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
17.940 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
17.940 * [taylor]: Taking taylor expansion of 1 in n
17.940 * [backup-simplify]: Simplify 1 into 1
17.940 * [taylor]: Taking taylor expansion of (/ i n) in n
17.940 * [taylor]: Taking taylor expansion of i in n
17.940 * [backup-simplify]: Simplify i into i
17.940 * [taylor]: Taking taylor expansion of n in n
17.940 * [backup-simplify]: Simplify 0 into 0
17.940 * [backup-simplify]: Simplify 1 into 1
17.940 * [backup-simplify]: Simplify (/ i 1) into i
17.940 * [backup-simplify]: Simplify (+ 0 i) into i
17.940 * [backup-simplify]: Simplify (log i) into (log i)
17.940 * [taylor]: Taking taylor expansion of n in n
17.940 * [backup-simplify]: Simplify 0 into 0
17.940 * [backup-simplify]: Simplify 1 into 1
17.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
17.941 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
17.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
17.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
17.943 * [backup-simplify]: Simplify (+ 1 0) into 1
17.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
17.944 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
17.944 * [backup-simplify]: Simplify (exp 0) into 1
17.944 * [taylor]: Taking taylor expansion of 1 in n
17.944 * [backup-simplify]: Simplify 1 into 1
17.945 * [taylor]: Taking taylor expansion of n in n
17.945 * [backup-simplify]: Simplify 0 into 0
17.945 * [backup-simplify]: Simplify 1 into 1
17.945 * [taylor]: Taking taylor expansion of i in n
17.945 * [backup-simplify]: Simplify i into i
17.945 * [backup-simplify]: Simplify (- 1) into -1
17.946 * [backup-simplify]: Simplify (+ 1 -1) into 0
17.946 * [backup-simplify]: Simplify (* 0 0) into 0
17.946 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
17.947 * [backup-simplify]: Simplify (- 0) into 0
17.947 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
17.947 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
17.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
17.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.950 * [backup-simplify]: Simplify (+ 0 0) into 0
17.951 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2))
17.952 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i)
17.952 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
17.953 * [backup-simplify]: Simplify (- 0) into 0
17.954 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))
17.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n))
17.955 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
17.955 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in i
17.955 * [taylor]: Taking taylor expansion of 100 in i
17.955 * [backup-simplify]: Simplify 100 into 100
17.955 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
17.955 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
17.955 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
17.955 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
17.955 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
17.955 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
17.955 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
17.956 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
17.956 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
17.956 * [taylor]: Taking taylor expansion of 1 in i
17.956 * [backup-simplify]: Simplify 1 into 1
17.956 * [taylor]: Taking taylor expansion of (/ i n) in i
17.956 * [taylor]: Taking taylor expansion of i in i
17.956 * [backup-simplify]: Simplify 0 into 0
17.956 * [backup-simplify]: Simplify 1 into 1
17.956 * [taylor]: Taking taylor expansion of n in i
17.956 * [backup-simplify]: Simplify n into n
17.956 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
17.956 * [backup-simplify]: Simplify (+ 1 0) into 1
17.957 * [backup-simplify]: Simplify (log 1) into 0
17.957 * [taylor]: Taking taylor expansion of n in i
17.957 * [backup-simplify]: Simplify n into n
17.957 * [backup-simplify]: Simplify (* 0 n) into 0
17.957 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
17.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
17.958 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
17.958 * [backup-simplify]: Simplify (exp 0) into 1
17.958 * [taylor]: Taking taylor expansion of 1 in i
17.958 * [backup-simplify]: Simplify 1 into 1
17.958 * [taylor]: Taking taylor expansion of n in i
17.958 * [backup-simplify]: Simplify n into n
17.958 * [taylor]: Taking taylor expansion of i in i
17.958 * [backup-simplify]: Simplify 0 into 0
17.959 * [backup-simplify]: Simplify 1 into 1
17.959 * [backup-simplify]: Simplify (- 1) into -1
17.959 * [backup-simplify]: Simplify (+ 1 -1) into 0
17.959 * [backup-simplify]: Simplify (* 0 n) into 0
17.961 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
17.961 * [backup-simplify]: Simplify (- 0) into 0
17.962 * [backup-simplify]: Simplify (+ 1 0) into 1
17.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
17.962 * [backup-simplify]: Simplify (/ n 1) into n
17.962 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (* (log1p (/ i n)) n)) n) i)) in i
17.962 * [taylor]: Taking taylor expansion of 100 in i
17.962 * [backup-simplify]: Simplify 100 into 100
17.962 * [taylor]: Taking taylor expansion of (/ (* (expm1 (* (log1p (/ i n)) n)) n) i) in i
17.962 * [taylor]: Taking taylor expansion of (* (expm1 (* (log1p (/ i n)) n)) n) in i
17.962 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
17.962 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
17.962 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
17.962 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
17.963 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
17.963 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
17.963 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
17.963 * [taylor]: Taking taylor expansion of 1 in i
17.963 * [backup-simplify]: Simplify 1 into 1
17.963 * [taylor]: Taking taylor expansion of (/ i n) in i
17.963 * [taylor]: Taking taylor expansion of i in i
17.963 * [backup-simplify]: Simplify 0 into 0
17.963 * [backup-simplify]: Simplify 1 into 1
17.963 * [taylor]: Taking taylor expansion of n in i
17.963 * [backup-simplify]: Simplify n into n
17.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
17.963 * [backup-simplify]: Simplify (+ 1 0) into 1
17.964 * [backup-simplify]: Simplify (log 1) into 0
17.964 * [taylor]: Taking taylor expansion of n in i
17.964 * [backup-simplify]: Simplify n into n
17.964 * [backup-simplify]: Simplify (* 0 n) into 0
17.964 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
17.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
17.965 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
17.965 * [backup-simplify]: Simplify (exp 0) into 1
17.965 * [taylor]: Taking taylor expansion of 1 in i
17.965 * [backup-simplify]: Simplify 1 into 1
17.965 * [taylor]: Taking taylor expansion of n in i
17.965 * [backup-simplify]: Simplify n into n
17.965 * [taylor]: Taking taylor expansion of i in i
17.965 * [backup-simplify]: Simplify 0 into 0
17.965 * [backup-simplify]: Simplify 1 into 1
17.966 * [backup-simplify]: Simplify (- 1) into -1
17.966 * [backup-simplify]: Simplify (+ 1 -1) into 0
17.966 * [backup-simplify]: Simplify (* 0 n) into 0
17.971 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
17.972 * [backup-simplify]: Simplify (- 0) into 0
17.972 * [backup-simplify]: Simplify (+ 1 0) into 1
17.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
17.972 * [backup-simplify]: Simplify (/ n 1) into n
17.972 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
17.972 * [taylor]: Taking taylor expansion of (* 100 n) in n
17.972 * [taylor]: Taking taylor expansion of 100 in n
17.972 * [backup-simplify]: Simplify 100 into 100
17.972 * [taylor]: Taking taylor expansion of n in n
17.972 * [backup-simplify]: Simplify 0 into 0
17.972 * [backup-simplify]: Simplify 1 into 1
17.973 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
17.973 * [backup-simplify]: Simplify 0 into 0
17.973 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
17.974 * [backup-simplify]: Simplify (+ 0 0) into 0
17.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
17.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
17.976 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
17.976 * [backup-simplify]: Simplify (- 0) into 0
17.976 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
17.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
17.978 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
17.978 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
17.978 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
17.978 * [taylor]: Taking taylor expansion of (* 50 n) in n
17.978 * [taylor]: Taking taylor expansion of 50 in n
17.978 * [backup-simplify]: Simplify 50 into 50
17.978 * [taylor]: Taking taylor expansion of n in n
17.978 * [backup-simplify]: Simplify 0 into 0
17.978 * [backup-simplify]: Simplify 1 into 1
17.978 * [taylor]: Taking taylor expansion of 50 in n
17.978 * [backup-simplify]: Simplify 50 into 50
17.979 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
17.979 * [backup-simplify]: Simplify (- 0) into 0
17.980 * [backup-simplify]: Simplify (+ 0 0) into 0
17.980 * [backup-simplify]: Simplify 0 into 0
17.980 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.980 * [backup-simplify]: Simplify 0 into 0
17.981 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
17.981 * [backup-simplify]: Simplify (+ 0 0) into 0
17.983 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
17.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
17.984 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
17.984 * [backup-simplify]: Simplify (- 0) into 0
17.985 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
17.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
17.986 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
17.986 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50)
17.986 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
17.986 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
17.986 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
17.986 * [taylor]: Taking taylor expansion of 50/3 in n
17.986 * [backup-simplify]: Simplify 50/3 into 50/3
17.987 * [taylor]: Taking taylor expansion of n in n
17.987 * [backup-simplify]: Simplify 0 into 0
17.987 * [backup-simplify]: Simplify 1 into 1
17.987 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
17.987 * [taylor]: Taking taylor expansion of 100/3 in n
17.987 * [backup-simplify]: Simplify 100/3 into 100/3
17.987 * [taylor]: Taking taylor expansion of (/ 1 n) in n
17.987 * [taylor]: Taking taylor expansion of n in n
17.987 * [backup-simplify]: Simplify 0 into 0
17.987 * [backup-simplify]: Simplify 1 into 1
17.987 * [backup-simplify]: Simplify (/ 1 1) into 1
17.987 * [taylor]: Taking taylor expansion of 50 in n
17.987 * [backup-simplify]: Simplify 50 into 50
17.988 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
17.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.990 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.990 * [backup-simplify]: Simplify (+ 0 0) into 0
17.990 * [backup-simplify]: Simplify (- 0) into 0
17.991 * [backup-simplify]: Simplify (+ 0 0) into 0
17.991 * [backup-simplify]: Simplify 0 into 0
17.991 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.992 * [backup-simplify]: Simplify (- 0) into 0
17.992 * [backup-simplify]: Simplify (+ 0 0) into 0
17.992 * [backup-simplify]: Simplify 0 into 0
17.993 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
17.993 * [backup-simplify]: Simplify 0 into 0
17.993 * [backup-simplify]: Simplify 0 into 0
17.993 * [backup-simplify]: Simplify (/ (* 100 (expm1 (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n)))) (/ (/ 1 i) (/ 1 n))) into (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n))
17.993 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in (i n) around 0
17.993 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in n
17.993 * [taylor]: Taking taylor expansion of 100 in n
17.993 * [backup-simplify]: Simplify 100 into 100
17.993 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in n
17.993 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in n
17.993 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in n
17.993 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
17.993 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n
17.993 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
17.993 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
17.993 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
17.993 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
17.993 * [taylor]: Taking taylor expansion of 1 in n
17.993 * [backup-simplify]: Simplify 1 into 1
17.993 * [taylor]: Taking taylor expansion of (/ n i) in n
17.993 * [taylor]: Taking taylor expansion of n in n
17.993 * [backup-simplify]: Simplify 0 into 0
17.993 * [backup-simplify]: Simplify 1 into 1
17.993 * [taylor]: Taking taylor expansion of i in n
17.993 * [backup-simplify]: Simplify i into i
17.993 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
17.994 * [backup-simplify]: Simplify (+ 1 0) into 1
17.994 * [backup-simplify]: Simplify (log 1) into 0
17.994 * [taylor]: Taking taylor expansion of n in n
17.994 * [backup-simplify]: Simplify 0 into 0
17.994 * [backup-simplify]: Simplify 1 into 1
17.994 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
17.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
17.995 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
17.995 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
17.995 * [taylor]: Taking taylor expansion of 1 in n
17.995 * [backup-simplify]: Simplify 1 into 1
17.995 * [taylor]: Taking taylor expansion of i in n
17.995 * [backup-simplify]: Simplify i into i
17.995 * [taylor]: Taking taylor expansion of n in n
17.995 * [backup-simplify]: Simplify 0 into 0
17.995 * [backup-simplify]: Simplify 1 into 1
17.995 * [backup-simplify]: Simplify (- 1) into -1
17.995 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
17.996 * [backup-simplify]: Simplify (* (- (exp (/ 1 i)) 1) i) into (* (- (exp (/ 1 i)) 1) i)
17.996 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
17.996 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in i
17.996 * [taylor]: Taking taylor expansion of 100 in i
17.996 * [backup-simplify]: Simplify 100 into 100
17.996 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
17.996 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
17.996 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
17.996 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
17.996 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
17.996 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
17.996 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
17.996 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
17.996 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
17.996 * [taylor]: Taking taylor expansion of 1 in i
17.996 * [backup-simplify]: Simplify 1 into 1
17.996 * [taylor]: Taking taylor expansion of (/ n i) in i
17.996 * [taylor]: Taking taylor expansion of n in i
17.996 * [backup-simplify]: Simplify n into n
17.996 * [taylor]: Taking taylor expansion of i in i
17.996 * [backup-simplify]: Simplify 0 into 0
17.996 * [backup-simplify]: Simplify 1 into 1
17.996 * [backup-simplify]: Simplify (/ n 1) into n
17.997 * [backup-simplify]: Simplify (+ 0 n) into n
17.997 * [backup-simplify]: Simplify (log n) into (log n)
17.997 * [taylor]: Taking taylor expansion of n in i
17.997 * [backup-simplify]: Simplify n into n
17.997 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
17.998 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
17.998 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
17.998 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
17.998 * [taylor]: Taking taylor expansion of 1 in i
17.998 * [backup-simplify]: Simplify 1 into 1
17.998 * [taylor]: Taking taylor expansion of i in i
17.998 * [backup-simplify]: Simplify 0 into 0
17.998 * [backup-simplify]: Simplify 1 into 1
17.998 * [taylor]: Taking taylor expansion of n in i
17.998 * [backup-simplify]: Simplify n into n
17.999 * [backup-simplify]: Simplify (- 1) into -1
17.999 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
17.999 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
18.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.000 * [backup-simplify]: Simplify (+ 1 0) into 1
18.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.001 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.002 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.002 * [backup-simplify]: Simplify (- 0) into 0
18.002 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.003 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.003 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
18.003 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n)) in i
18.003 * [taylor]: Taking taylor expansion of 100 in i
18.003 * [backup-simplify]: Simplify 100 into 100
18.003 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ (log1p (/ n i)) n)) i) n) in i
18.003 * [taylor]: Taking taylor expansion of (* (expm1 (/ (log1p (/ n i)) n)) i) in i
18.003 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
18.003 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
18.003 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
18.003 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.003 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.003 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.003 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.003 * [taylor]: Taking taylor expansion of 1 in i
18.003 * [backup-simplify]: Simplify 1 into 1
18.003 * [taylor]: Taking taylor expansion of (/ n i) in i
18.003 * [taylor]: Taking taylor expansion of n in i
18.003 * [backup-simplify]: Simplify n into n
18.003 * [taylor]: Taking taylor expansion of i in i
18.003 * [backup-simplify]: Simplify 0 into 0
18.003 * [backup-simplify]: Simplify 1 into 1
18.003 * [backup-simplify]: Simplify (/ n 1) into n
18.003 * [backup-simplify]: Simplify (+ 0 n) into n
18.003 * [backup-simplify]: Simplify (log n) into (log n)
18.003 * [taylor]: Taking taylor expansion of n in i
18.003 * [backup-simplify]: Simplify n into n
18.003 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.004 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.004 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.004 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.004 * [taylor]: Taking taylor expansion of 1 in i
18.004 * [backup-simplify]: Simplify 1 into 1
18.004 * [taylor]: Taking taylor expansion of i in i
18.004 * [backup-simplify]: Simplify 0 into 0
18.004 * [backup-simplify]: Simplify 1 into 1
18.004 * [taylor]: Taking taylor expansion of n in i
18.004 * [backup-simplify]: Simplify n into n
18.004 * [backup-simplify]: Simplify (- 1) into -1
18.004 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.004 * [backup-simplify]: Simplify (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) into 0
18.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.005 * [backup-simplify]: Simplify (+ 1 0) into 1
18.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.006 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.006 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.006 * [backup-simplify]: Simplify (- 0) into 0
18.007 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.007 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 1) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0)) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.007 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
18.007 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
18.007 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
18.007 * [taylor]: Taking taylor expansion of 100 in n
18.007 * [backup-simplify]: Simplify 100 into 100
18.007 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
18.007 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
18.007 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.007 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.007 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.007 * [taylor]: Taking taylor expansion of (log n) in n
18.007 * [taylor]: Taking taylor expansion of n in n
18.007 * [backup-simplify]: Simplify 0 into 0
18.007 * [backup-simplify]: Simplify 1 into 1
18.008 * [backup-simplify]: Simplify (log 1) into 0
18.008 * [taylor]: Taking taylor expansion of (log i) in n
18.008 * [taylor]: Taking taylor expansion of i in n
18.008 * [backup-simplify]: Simplify i into i
18.008 * [backup-simplify]: Simplify (log i) into (log i)
18.008 * [taylor]: Taking taylor expansion of n in n
18.008 * [backup-simplify]: Simplify 0 into 0
18.008 * [backup-simplify]: Simplify 1 into 1
18.008 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.008 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.009 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.009 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.009 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.009 * [taylor]: Taking taylor expansion of 1 in n
18.009 * [backup-simplify]: Simplify 1 into 1
18.009 * [taylor]: Taking taylor expansion of n in n
18.009 * [backup-simplify]: Simplify 0 into 0
18.009 * [backup-simplify]: Simplify 1 into 1
18.009 * [backup-simplify]: Simplify (- 1) into -1
18.009 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.009 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.009 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
18.009 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
18.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.011 * [backup-simplify]: Simplify (+ 0 0) into 0
18.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.012 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.013 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
18.013 * [backup-simplify]: Simplify (- 0) into 0
18.013 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
18.014 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 1) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.014 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
18.014 * [backup-simplify]: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))
18.014 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
18.014 * [taylor]: Taking taylor expansion of 100 in n
18.014 * [backup-simplify]: Simplify 100 into 100
18.014 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
18.014 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.014 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.014 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.014 * [taylor]: Taking taylor expansion of (log n) in n
18.014 * [taylor]: Taking taylor expansion of n in n
18.014 * [backup-simplify]: Simplify 0 into 0
18.014 * [backup-simplify]: Simplify 1 into 1
18.015 * [backup-simplify]: Simplify (log 1) into 0
18.015 * [taylor]: Taking taylor expansion of (log i) in n
18.015 * [taylor]: Taking taylor expansion of i in n
18.015 * [backup-simplify]: Simplify i into i
18.015 * [backup-simplify]: Simplify (log i) into (log i)
18.015 * [taylor]: Taking taylor expansion of n in n
18.015 * [backup-simplify]: Simplify 0 into 0
18.015 * [backup-simplify]: Simplify 1 into 1
18.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.015 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.015 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.015 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.015 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.015 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.015 * [taylor]: Taking taylor expansion of n in n
18.015 * [backup-simplify]: Simplify 0 into 0
18.015 * [backup-simplify]: Simplify 1 into 1
18.016 * [backup-simplify]: Simplify (* 1 1) into 1
18.016 * [backup-simplify]: Simplify (* 1 1) into 1
18.016 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.020 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
18.020 * [backup-simplify]: Simplify 0 into 0
18.020 * [backup-simplify]: Simplify (- 0) into 0
18.021 * [backup-simplify]: Simplify (+ 0 0) into 0
18.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
18.022 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
18.022 * [backup-simplify]: Simplify 0 into 0
18.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.023 * [backup-simplify]: Simplify (+ 0 0) into 0
18.025 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.025 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
18.026 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
18.026 * [backup-simplify]: Simplify (- 0) into 0
18.026 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
18.028 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 1) (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 0)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
18.028 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
18.029 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
18.029 * [taylor]: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n
18.029 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
18.029 * [taylor]: Taking taylor expansion of 50 in n
18.029 * [backup-simplify]: Simplify 50 into 50
18.029 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
18.029 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.029 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.029 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.029 * [taylor]: Taking taylor expansion of (log n) in n
18.029 * [taylor]: Taking taylor expansion of n in n
18.029 * [backup-simplify]: Simplify 0 into 0
18.029 * [backup-simplify]: Simplify 1 into 1
18.030 * [backup-simplify]: Simplify (log 1) into 0
18.030 * [taylor]: Taking taylor expansion of (log i) in n
18.030 * [taylor]: Taking taylor expansion of i in n
18.030 * [backup-simplify]: Simplify i into i
18.030 * [backup-simplify]: Simplify (log i) into (log i)
18.030 * [taylor]: Taking taylor expansion of n in n
18.030 * [backup-simplify]: Simplify 0 into 0
18.030 * [backup-simplify]: Simplify 1 into 1
18.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.030 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.030 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.030 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.030 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.030 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.030 * [taylor]: Taking taylor expansion of n in n
18.030 * [backup-simplify]: Simplify 0 into 0
18.030 * [backup-simplify]: Simplify 1 into 1
18.031 * [backup-simplify]: Simplify (* 1 1) into 1
18.031 * [backup-simplify]: Simplify (* 1 1) into 1
18.031 * [backup-simplify]: Simplify (* 1 1) into 1
18.032 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.032 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
18.032 * [taylor]: Taking taylor expansion of 50 in n
18.032 * [backup-simplify]: Simplify 50 into 50
18.032 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
18.032 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.032 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.032 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.032 * [taylor]: Taking taylor expansion of (log n) in n
18.032 * [taylor]: Taking taylor expansion of n in n
18.032 * [backup-simplify]: Simplify 0 into 0
18.032 * [backup-simplify]: Simplify 1 into 1
18.032 * [backup-simplify]: Simplify (log 1) into 0
18.032 * [taylor]: Taking taylor expansion of (log i) in n
18.032 * [taylor]: Taking taylor expansion of i in n
18.032 * [backup-simplify]: Simplify i into i
18.032 * [backup-simplify]: Simplify (log i) into (log i)
18.033 * [taylor]: Taking taylor expansion of n in n
18.033 * [backup-simplify]: Simplify 0 into 0
18.033 * [backup-simplify]: Simplify 1 into 1
18.033 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.033 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.033 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.033 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.033 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.033 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.033 * [taylor]: Taking taylor expansion of n in n
18.033 * [backup-simplify]: Simplify 0 into 0
18.034 * [backup-simplify]: Simplify 1 into 1
18.034 * [backup-simplify]: Simplify (* 1 1) into 1
18.034 * [backup-simplify]: Simplify (* 1 1) into 1
18.034 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.053 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
18.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.061 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
18.061 * [backup-simplify]: Simplify (- 0) into 0
18.061 * [backup-simplify]: Simplify (+ 0 0) into 0
18.061 * [backup-simplify]: Simplify 0 into 0
18.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.065 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
18.065 * [backup-simplify]: Simplify 0 into 0
18.065 * [backup-simplify]: Simplify (- 0) into 0
18.065 * [backup-simplify]: Simplify (+ 0 0) into 0
18.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.067 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
18.067 * [backup-simplify]: Simplify 0 into 0
18.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.069 * [backup-simplify]: Simplify (+ 0 0) into 0
18.073 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
18.074 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
18.075 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7))))))
18.075 * [backup-simplify]: Simplify (- 0) into 0
18.076 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))
18.078 * [backup-simplify]: Simplify (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) 0) (+ (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) (+ (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 0) (+ (* (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 1) (* (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) 0))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
18.080 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
18.082 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))
18.082 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
18.082 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
18.087 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
18.087 * [taylor]: Taking taylor expansion of 50/3 in n
18.087 * [backup-simplify]: Simplify 50/3 into 50/3
18.087 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
18.087 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.087 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.087 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.087 * [taylor]: Taking taylor expansion of (log n) in n
18.087 * [taylor]: Taking taylor expansion of n in n
18.087 * [backup-simplify]: Simplify 0 into 0
18.087 * [backup-simplify]: Simplify 1 into 1
18.088 * [backup-simplify]: Simplify (log 1) into 0
18.088 * [taylor]: Taking taylor expansion of (log i) in n
18.088 * [taylor]: Taking taylor expansion of i in n
18.088 * [backup-simplify]: Simplify i into i
18.088 * [backup-simplify]: Simplify (log i) into (log i)
18.088 * [taylor]: Taking taylor expansion of n in n
18.088 * [backup-simplify]: Simplify 0 into 0
18.088 * [backup-simplify]: Simplify 1 into 1
18.089 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.089 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.089 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.089 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.089 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.089 * [taylor]: Taking taylor expansion of (pow n 7) in n
18.089 * [taylor]: Taking taylor expansion of n in n
18.089 * [backup-simplify]: Simplify 0 into 0
18.089 * [backup-simplify]: Simplify 1 into 1
18.090 * [backup-simplify]: Simplify (* 1 1) into 1
18.090 * [backup-simplify]: Simplify (* 1 1) into 1
18.090 * [backup-simplify]: Simplify (* 1 1) into 1
18.091 * [backup-simplify]: Simplify (* 1 1) into 1
18.091 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.091 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
18.091 * [taylor]: Taking taylor expansion of 100/3 in n
18.091 * [backup-simplify]: Simplify 100/3 into 100/3
18.091 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
18.091 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.091 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.091 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.091 * [taylor]: Taking taylor expansion of (log n) in n
18.091 * [taylor]: Taking taylor expansion of n in n
18.091 * [backup-simplify]: Simplify 0 into 0
18.091 * [backup-simplify]: Simplify 1 into 1
18.091 * [backup-simplify]: Simplify (log 1) into 0
18.091 * [taylor]: Taking taylor expansion of (log i) in n
18.091 * [taylor]: Taking taylor expansion of i in n
18.092 * [backup-simplify]: Simplify i into i
18.092 * [backup-simplify]: Simplify (log i) into (log i)
18.092 * [taylor]: Taking taylor expansion of n in n
18.092 * [backup-simplify]: Simplify 0 into 0
18.092 * [backup-simplify]: Simplify 1 into 1
18.092 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.092 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.092 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.092 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.092 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.092 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.092 * [taylor]: Taking taylor expansion of n in n
18.092 * [backup-simplify]: Simplify 0 into 0
18.093 * [backup-simplify]: Simplify 1 into 1
18.093 * [backup-simplify]: Simplify (* 1 1) into 1
18.093 * [backup-simplify]: Simplify (* 1 1) into 1
18.094 * [backup-simplify]: Simplify (* 1 1) into 1
18.094 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.094 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
18.094 * [taylor]: Taking taylor expansion of 50 in n
18.094 * [backup-simplify]: Simplify 50 into 50
18.094 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
18.094 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.094 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.094 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.094 * [taylor]: Taking taylor expansion of (log n) in n
18.094 * [taylor]: Taking taylor expansion of n in n
18.094 * [backup-simplify]: Simplify 0 into 0
18.094 * [backup-simplify]: Simplify 1 into 1
18.094 * [backup-simplify]: Simplify (log 1) into 0
18.094 * [taylor]: Taking taylor expansion of (log i) in n
18.094 * [taylor]: Taking taylor expansion of i in n
18.094 * [backup-simplify]: Simplify i into i
18.094 * [backup-simplify]: Simplify (log i) into (log i)
18.095 * [taylor]: Taking taylor expansion of n in n
18.095 * [backup-simplify]: Simplify 0 into 0
18.095 * [backup-simplify]: Simplify 1 into 1
18.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.095 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.095 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.095 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.095 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.095 * [taylor]: Taking taylor expansion of (pow n 6) in n
18.095 * [taylor]: Taking taylor expansion of n in n
18.095 * [backup-simplify]: Simplify 0 into 0
18.095 * [backup-simplify]: Simplify 1 into 1
18.096 * [backup-simplify]: Simplify (* 1 1) into 1
18.096 * [backup-simplify]: Simplify (* 1 1) into 1
18.097 * [backup-simplify]: Simplify (* 1 1) into 1
18.097 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.127 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
18.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.141 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
18.141 * [backup-simplify]: Simplify (+ 0 0) into 0
18.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.166 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
18.166 * [backup-simplify]: Simplify (- 0) into 0
18.166 * [backup-simplify]: Simplify (+ 0 0) into 0
18.166 * [backup-simplify]: Simplify 0 into 0
18.167 * [backup-simplify]: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
18.167 * [backup-simplify]: Simplify (/ (* 100 (expm1 (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))))) (/ (/ 1 (- i)) (/ 1 (- n)))) into (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n))
18.167 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in (i n) around 0
18.167 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in n
18.167 * [taylor]: Taking taylor expansion of 100 in n
18.167 * [backup-simplify]: Simplify 100 into 100
18.167 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in n
18.167 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in n
18.167 * [taylor]: Taking taylor expansion of i in n
18.167 * [backup-simplify]: Simplify i into i
18.167 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in n
18.167 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.167 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n
18.167 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
18.167 * [taylor]: Taking taylor expansion of -1 in n
18.167 * [backup-simplify]: Simplify -1 into -1
18.167 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
18.167 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.167 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.167 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.167 * [taylor]: Taking taylor expansion of 1 in n
18.167 * [backup-simplify]: Simplify 1 into 1
18.167 * [taylor]: Taking taylor expansion of (/ n i) in n
18.167 * [taylor]: Taking taylor expansion of n in n
18.167 * [backup-simplify]: Simplify 0 into 0
18.167 * [backup-simplify]: Simplify 1 into 1
18.167 * [taylor]: Taking taylor expansion of i in n
18.167 * [backup-simplify]: Simplify i into i
18.167 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.168 * [backup-simplify]: Simplify (+ 1 0) into 1
18.168 * [backup-simplify]: Simplify (log 1) into 0
18.168 * [taylor]: Taking taylor expansion of n in n
18.168 * [backup-simplify]: Simplify 0 into 0
18.168 * [backup-simplify]: Simplify 1 into 1
18.168 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
18.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
18.168 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
18.169 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
18.169 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
18.169 * [taylor]: Taking taylor expansion of 1 in n
18.169 * [backup-simplify]: Simplify 1 into 1
18.169 * [taylor]: Taking taylor expansion of n in n
18.169 * [backup-simplify]: Simplify 0 into 0
18.169 * [backup-simplify]: Simplify 1 into 1
18.169 * [backup-simplify]: Simplify (- 1) into -1
18.169 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1)
18.169 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1))
18.169 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1))
18.169 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in i
18.169 * [taylor]: Taking taylor expansion of 100 in i
18.169 * [backup-simplify]: Simplify 100 into 100
18.169 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
18.169 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
18.169 * [taylor]: Taking taylor expansion of i in i
18.169 * [backup-simplify]: Simplify 0 into 0
18.169 * [backup-simplify]: Simplify 1 into 1
18.169 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
18.169 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.169 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
18.169 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.169 * [taylor]: Taking taylor expansion of -1 in i
18.169 * [backup-simplify]: Simplify -1 into -1
18.169 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.169 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.170 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.170 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.170 * [taylor]: Taking taylor expansion of 1 in i
18.170 * [backup-simplify]: Simplify 1 into 1
18.170 * [taylor]: Taking taylor expansion of (/ n i) in i
18.170 * [taylor]: Taking taylor expansion of n in i
18.170 * [backup-simplify]: Simplify n into n
18.170 * [taylor]: Taking taylor expansion of i in i
18.170 * [backup-simplify]: Simplify 0 into 0
18.170 * [backup-simplify]: Simplify 1 into 1
18.170 * [backup-simplify]: Simplify (/ n 1) into n
18.170 * [backup-simplify]: Simplify (+ 0 n) into n
18.170 * [backup-simplify]: Simplify (log n) into (log n)
18.170 * [taylor]: Taking taylor expansion of n in i
18.170 * [backup-simplify]: Simplify n into n
18.170 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.170 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.171 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.171 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
18.171 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.171 * [taylor]: Taking taylor expansion of 1 in i
18.171 * [backup-simplify]: Simplify 1 into 1
18.171 * [taylor]: Taking taylor expansion of n in i
18.171 * [backup-simplify]: Simplify n into n
18.171 * [backup-simplify]: Simplify (- 1) into -1
18.171 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.171 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
18.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.172 * [backup-simplify]: Simplify (+ 1 0) into 1
18.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.173 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.173 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
18.173 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.174 * [backup-simplify]: Simplify (- 0) into 0
18.174 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.174 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.174 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
18.174 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n)) in i
18.174 * [taylor]: Taking taylor expansion of 100 in i
18.174 * [backup-simplify]: Simplify 100 into 100
18.174 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) n) in i
18.174 * [taylor]: Taking taylor expansion of (* i (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
18.175 * [taylor]: Taking taylor expansion of i in i
18.175 * [backup-simplify]: Simplify 0 into 0
18.175 * [backup-simplify]: Simplify 1 into 1
18.175 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
18.175 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.175 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
18.175 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.175 * [taylor]: Taking taylor expansion of -1 in i
18.175 * [backup-simplify]: Simplify -1 into -1
18.175 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.175 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.175 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.175 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.175 * [taylor]: Taking taylor expansion of 1 in i
18.175 * [backup-simplify]: Simplify 1 into 1
18.175 * [taylor]: Taking taylor expansion of (/ n i) in i
18.175 * [taylor]: Taking taylor expansion of n in i
18.175 * [backup-simplify]: Simplify n into n
18.175 * [taylor]: Taking taylor expansion of i in i
18.175 * [backup-simplify]: Simplify 0 into 0
18.175 * [backup-simplify]: Simplify 1 into 1
18.175 * [backup-simplify]: Simplify (/ n 1) into n
18.175 * [backup-simplify]: Simplify (+ 0 n) into n
18.175 * [backup-simplify]: Simplify (log n) into (log n)
18.175 * [taylor]: Taking taylor expansion of n in i
18.175 * [backup-simplify]: Simplify n into n
18.175 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.176 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.176 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.176 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
18.176 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.176 * [taylor]: Taking taylor expansion of 1 in i
18.176 * [backup-simplify]: Simplify 1 into 1
18.176 * [taylor]: Taking taylor expansion of n in i
18.176 * [backup-simplify]: Simplify n into n
18.176 * [backup-simplify]: Simplify (- 1) into -1
18.176 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.177 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
18.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.177 * [backup-simplify]: Simplify (+ 1 0) into 1
18.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.178 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.178 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
18.179 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.179 * [backup-simplify]: Simplify (- 0) into 0
18.179 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.179 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.179 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
18.180 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
18.180 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
18.180 * [taylor]: Taking taylor expansion of 100 in n
18.180 * [backup-simplify]: Simplify 100 into 100
18.180 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
18.180 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
18.180 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.180 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.180 * [taylor]: Taking taylor expansion of -1 in n
18.180 * [backup-simplify]: Simplify -1 into -1
18.180 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.180 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.180 * [taylor]: Taking taylor expansion of (log n) in n
18.180 * [taylor]: Taking taylor expansion of n in n
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 1 into 1
18.180 * [backup-simplify]: Simplify (log 1) into 0
18.180 * [taylor]: Taking taylor expansion of (log i) in n
18.180 * [taylor]: Taking taylor expansion of i in n
18.180 * [backup-simplify]: Simplify i into i
18.180 * [backup-simplify]: Simplify (log i) into (log i)
18.180 * [taylor]: Taking taylor expansion of n in n
18.180 * [backup-simplify]: Simplify 0 into 0
18.180 * [backup-simplify]: Simplify 1 into 1
18.181 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.181 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.181 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.181 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.181 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.181 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.181 * [taylor]: Taking taylor expansion of 1 in n
18.181 * [backup-simplify]: Simplify 1 into 1
18.181 * [taylor]: Taking taylor expansion of n in n
18.181 * [backup-simplify]: Simplify 0 into 0
18.181 * [backup-simplify]: Simplify 1 into 1
18.181 * [backup-simplify]: Simplify (- 1) into -1
18.181 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.181 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.182 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
18.182 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
18.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.183 * [backup-simplify]: Simplify (+ 0 0) into 0
18.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.184 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.184 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
18.185 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
18.185 * [backup-simplify]: Simplify (- 0) into 0
18.185 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
18.186 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.186 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
18.187 * [backup-simplify]: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
18.187 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
18.187 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
18.187 * [taylor]: Taking taylor expansion of 100 in n
18.187 * [backup-simplify]: Simplify 100 into 100
18.187 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
18.187 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.187 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.187 * [taylor]: Taking taylor expansion of -1 in n
18.187 * [backup-simplify]: Simplify -1 into -1
18.187 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.187 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.187 * [taylor]: Taking taylor expansion of (log n) in n
18.187 * [taylor]: Taking taylor expansion of n in n
18.187 * [backup-simplify]: Simplify 0 into 0
18.187 * [backup-simplify]: Simplify 1 into 1
18.187 * [backup-simplify]: Simplify (log 1) into 0
18.187 * [taylor]: Taking taylor expansion of (log i) in n
18.187 * [taylor]: Taking taylor expansion of i in n
18.187 * [backup-simplify]: Simplify i into i
18.187 * [backup-simplify]: Simplify (log i) into (log i)
18.187 * [taylor]: Taking taylor expansion of n in n
18.187 * [backup-simplify]: Simplify 0 into 0
18.187 * [backup-simplify]: Simplify 1 into 1
18.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.188 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.188 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.188 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.188 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.188 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.188 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.188 * [taylor]: Taking taylor expansion of n in n
18.188 * [backup-simplify]: Simplify 0 into 0
18.188 * [backup-simplify]: Simplify 1 into 1
18.188 * [backup-simplify]: Simplify (* 1 1) into 1
18.189 * [backup-simplify]: Simplify (* 1 1) into 1
18.189 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.199 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
18.199 * [backup-simplify]: Simplify (- 0) into 0
18.199 * [backup-simplify]: Simplify 0 into 0
18.199 * [backup-simplify]: Simplify (- 0) into 0
18.200 * [backup-simplify]: Simplify (+ 0 0) into 0
18.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
18.201 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
18.201 * [backup-simplify]: Simplify 0 into 0
18.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.202 * [backup-simplify]: Simplify (+ 0 0) into 0
18.204 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.204 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
18.205 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
18.205 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
18.206 * [backup-simplify]: Simplify (- 0) into 0
18.206 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
18.207 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
18.208 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
18.209 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))
18.209 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
18.209 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
18.209 * [taylor]: Taking taylor expansion of 50 in n
18.209 * [backup-simplify]: Simplify 50 into 50
18.209 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
18.209 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.209 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.209 * [taylor]: Taking taylor expansion of -1 in n
18.209 * [backup-simplify]: Simplify -1 into -1
18.209 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.209 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.209 * [taylor]: Taking taylor expansion of (log n) in n
18.209 * [taylor]: Taking taylor expansion of n in n
18.209 * [backup-simplify]: Simplify 0 into 0
18.209 * [backup-simplify]: Simplify 1 into 1
18.209 * [backup-simplify]: Simplify (log 1) into 0
18.210 * [taylor]: Taking taylor expansion of (log i) in n
18.210 * [taylor]: Taking taylor expansion of i in n
18.210 * [backup-simplify]: Simplify i into i
18.210 * [backup-simplify]: Simplify (log i) into (log i)
18.210 * [taylor]: Taking taylor expansion of n in n
18.210 * [backup-simplify]: Simplify 0 into 0
18.210 * [backup-simplify]: Simplify 1 into 1
18.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.210 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.210 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.210 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.210 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.210 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.210 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.210 * [taylor]: Taking taylor expansion of n in n
18.210 * [backup-simplify]: Simplify 0 into 0
18.210 * [backup-simplify]: Simplify 1 into 1
18.211 * [backup-simplify]: Simplify (* 1 1) into 1
18.211 * [backup-simplify]: Simplify (* 1 1) into 1
18.211 * [backup-simplify]: Simplify (* 1 1) into 1
18.211 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.211 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
18.211 * [taylor]: Taking taylor expansion of 50 in n
18.211 * [backup-simplify]: Simplify 50 into 50
18.211 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
18.211 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.211 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.211 * [taylor]: Taking taylor expansion of -1 in n
18.211 * [backup-simplify]: Simplify -1 into -1
18.211 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.211 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.211 * [taylor]: Taking taylor expansion of (log n) in n
18.212 * [taylor]: Taking taylor expansion of n in n
18.212 * [backup-simplify]: Simplify 0 into 0
18.212 * [backup-simplify]: Simplify 1 into 1
18.212 * [backup-simplify]: Simplify (log 1) into 0
18.212 * [taylor]: Taking taylor expansion of (log i) in n
18.212 * [taylor]: Taking taylor expansion of i in n
18.212 * [backup-simplify]: Simplify i into i
18.212 * [backup-simplify]: Simplify (log i) into (log i)
18.212 * [taylor]: Taking taylor expansion of n in n
18.212 * [backup-simplify]: Simplify 0 into 0
18.212 * [backup-simplify]: Simplify 1 into 1
18.212 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.212 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.212 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.212 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.212 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.213 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.213 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.213 * [taylor]: Taking taylor expansion of n in n
18.213 * [backup-simplify]: Simplify 0 into 0
18.213 * [backup-simplify]: Simplify 1 into 1
18.213 * [backup-simplify]: Simplify (* 1 1) into 1
18.213 * [backup-simplify]: Simplify (* 1 1) into 1
18.213 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.226 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
18.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.233 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
18.234 * [backup-simplify]: Simplify (+ 0 0) into 0
18.234 * [backup-simplify]: Simplify 0 into 0
18.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.237 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
18.237 * [backup-simplify]: Simplify (- 0) into 0
18.237 * [backup-simplify]: Simplify 0 into 0
18.237 * [backup-simplify]: Simplify (- 0) into 0
18.238 * [backup-simplify]: Simplify (+ 0 0) into 0
18.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.240 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
18.240 * [backup-simplify]: Simplify 0 into 0
18.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.241 * [backup-simplify]: Simplify (+ 0 0) into 0
18.245 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4))
18.246 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow n 4)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)) (* (* 1/3 (/ 1 (pow n 4))) (/ 0 n)))) into (- (* 1/4 (/ 1 (pow n 5))))
18.246 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow n 5))))) (+ (* 0 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))))) into (* 1/4 (/ 1 (pow n 5)))
18.248 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8)))))))
18.248 * [backup-simplify]: Simplify (- 0) into 0
18.249 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
18.253 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
18.255 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
18.256 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))
18.256 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n
18.256 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n
18.256 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
18.256 * [taylor]: Taking taylor expansion of 50/3 in n
18.256 * [backup-simplify]: Simplify 50/3 into 50/3
18.256 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
18.256 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.256 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.256 * [taylor]: Taking taylor expansion of -1 in n
18.256 * [backup-simplify]: Simplify -1 into -1
18.256 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.256 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.256 * [taylor]: Taking taylor expansion of (log n) in n
18.256 * [taylor]: Taking taylor expansion of n in n
18.256 * [backup-simplify]: Simplify 0 into 0
18.256 * [backup-simplify]: Simplify 1 into 1
18.257 * [backup-simplify]: Simplify (log 1) into 0
18.257 * [taylor]: Taking taylor expansion of (log i) in n
18.257 * [taylor]: Taking taylor expansion of i in n
18.257 * [backup-simplify]: Simplify i into i
18.257 * [backup-simplify]: Simplify (log i) into (log i)
18.257 * [taylor]: Taking taylor expansion of n in n
18.257 * [backup-simplify]: Simplify 0 into 0
18.257 * [backup-simplify]: Simplify 1 into 1
18.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.257 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.257 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.257 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.257 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.258 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.258 * [taylor]: Taking taylor expansion of (pow n 7) in n
18.258 * [taylor]: Taking taylor expansion of n in n
18.258 * [backup-simplify]: Simplify 0 into 0
18.258 * [backup-simplify]: Simplify 1 into 1
18.258 * [backup-simplify]: Simplify (* 1 1) into 1
18.258 * [backup-simplify]: Simplify (* 1 1) into 1
18.258 * [backup-simplify]: Simplify (* 1 1) into 1
18.259 * [backup-simplify]: Simplify (* 1 1) into 1
18.259 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.259 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n
18.259 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
18.259 * [taylor]: Taking taylor expansion of 100/3 in n
18.259 * [backup-simplify]: Simplify 100/3 into 100/3
18.259 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
18.259 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.259 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.259 * [taylor]: Taking taylor expansion of -1 in n
18.259 * [backup-simplify]: Simplify -1 into -1
18.259 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.259 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.259 * [taylor]: Taking taylor expansion of (log n) in n
18.259 * [taylor]: Taking taylor expansion of n in n
18.259 * [backup-simplify]: Simplify 0 into 0
18.259 * [backup-simplify]: Simplify 1 into 1
18.259 * [backup-simplify]: Simplify (log 1) into 0
18.259 * [taylor]: Taking taylor expansion of (log i) in n
18.259 * [taylor]: Taking taylor expansion of i in n
18.259 * [backup-simplify]: Simplify i into i
18.259 * [backup-simplify]: Simplify (log i) into (log i)
18.259 * [taylor]: Taking taylor expansion of n in n
18.259 * [backup-simplify]: Simplify 0 into 0
18.259 * [backup-simplify]: Simplify 1 into 1
18.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.260 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.260 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.260 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.260 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.260 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.260 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.260 * [taylor]: Taking taylor expansion of n in n
18.260 * [backup-simplify]: Simplify 0 into 0
18.260 * [backup-simplify]: Simplify 1 into 1
18.260 * [backup-simplify]: Simplify (* 1 1) into 1
18.260 * [backup-simplify]: Simplify (* 1 1) into 1
18.261 * [backup-simplify]: Simplify (* 1 1) into 1
18.261 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.261 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
18.261 * [taylor]: Taking taylor expansion of 50 in n
18.261 * [backup-simplify]: Simplify 50 into 50
18.261 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
18.261 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.261 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.261 * [taylor]: Taking taylor expansion of -1 in n
18.261 * [backup-simplify]: Simplify -1 into -1
18.261 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.261 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.261 * [taylor]: Taking taylor expansion of (log n) in n
18.261 * [taylor]: Taking taylor expansion of n in n
18.261 * [backup-simplify]: Simplify 0 into 0
18.261 * [backup-simplify]: Simplify 1 into 1
18.261 * [backup-simplify]: Simplify (log 1) into 0
18.261 * [taylor]: Taking taylor expansion of (log i) in n
18.261 * [taylor]: Taking taylor expansion of i in n
18.261 * [backup-simplify]: Simplify i into i
18.261 * [backup-simplify]: Simplify (log i) into (log i)
18.261 * [taylor]: Taking taylor expansion of n in n
18.261 * [backup-simplify]: Simplify 0 into 0
18.261 * [backup-simplify]: Simplify 1 into 1
18.262 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.262 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.262 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.262 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.262 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.262 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.262 * [taylor]: Taking taylor expansion of (pow n 6) in n
18.262 * [taylor]: Taking taylor expansion of n in n
18.262 * [backup-simplify]: Simplify 0 into 0
18.262 * [backup-simplify]: Simplify 1 into 1
18.262 * [backup-simplify]: Simplify (* 1 1) into 1
18.263 * [backup-simplify]: Simplify (* 1 1) into 1
18.263 * [backup-simplify]: Simplify (* 1 1) into 1
18.263 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.294 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
18.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.306 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
18.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.324 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
18.324 * [backup-simplify]: Simplify (+ 0 0) into 0
18.324 * [backup-simplify]: Simplify (+ 0 0) into 0
18.324 * [backup-simplify]: Simplify (- 0) into 0
18.325 * [backup-simplify]: Simplify 0 into 0
18.325 * [backup-simplify]: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
18.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
18.325 * [backup-simplify]: Simplify (* (log1p (/ i n)) n) into (* (log1p (/ i n)) n)
18.325 * [approximate]: Taking taylor expansion of (* (log1p (/ i n)) n) in (i n) around 0
18.325 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
18.325 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
18.325 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.325 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
18.325 * [taylor]: Taking taylor expansion of 1 in n
18.325 * [backup-simplify]: Simplify 1 into 1
18.325 * [taylor]: Taking taylor expansion of (/ i n) in n
18.325 * [taylor]: Taking taylor expansion of i in n
18.325 * [backup-simplify]: Simplify i into i
18.325 * [taylor]: Taking taylor expansion of n in n
18.325 * [backup-simplify]: Simplify 0 into 0
18.325 * [backup-simplify]: Simplify 1 into 1
18.325 * [backup-simplify]: Simplify (/ i 1) into i
18.325 * [backup-simplify]: Simplify (+ 0 i) into i
18.325 * [backup-simplify]: Simplify (log i) into (log i)
18.325 * [taylor]: Taking taylor expansion of n in n
18.325 * [backup-simplify]: Simplify 0 into 0
18.325 * [backup-simplify]: Simplify 1 into 1
18.325 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
18.325 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.325 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.325 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.326 * [taylor]: Taking taylor expansion of 1 in i
18.326 * [backup-simplify]: Simplify 1 into 1
18.326 * [taylor]: Taking taylor expansion of (/ i n) in i
18.326 * [taylor]: Taking taylor expansion of i in i
18.326 * [backup-simplify]: Simplify 0 into 0
18.326 * [backup-simplify]: Simplify 1 into 1
18.326 * [taylor]: Taking taylor expansion of n in i
18.326 * [backup-simplify]: Simplify n into n
18.326 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.326 * [backup-simplify]: Simplify (+ 1 0) into 1
18.326 * [backup-simplify]: Simplify (log 1) into 0
18.326 * [taylor]: Taking taylor expansion of n in i
18.326 * [backup-simplify]: Simplify n into n
18.326 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
18.326 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.326 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.326 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.326 * [taylor]: Taking taylor expansion of 1 in i
18.326 * [backup-simplify]: Simplify 1 into 1
18.326 * [taylor]: Taking taylor expansion of (/ i n) in i
18.326 * [taylor]: Taking taylor expansion of i in i
18.326 * [backup-simplify]: Simplify 0 into 0
18.326 * [backup-simplify]: Simplify 1 into 1
18.326 * [taylor]: Taking taylor expansion of n in i
18.326 * [backup-simplify]: Simplify n into n
18.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.327 * [backup-simplify]: Simplify (+ 1 0) into 1
18.327 * [backup-simplify]: Simplify (log 1) into 0
18.327 * [taylor]: Taking taylor expansion of n in i
18.327 * [backup-simplify]: Simplify n into n
18.327 * [backup-simplify]: Simplify (* 0 n) into 0
18.327 * [taylor]: Taking taylor expansion of 0 in n
18.327 * [backup-simplify]: Simplify 0 into 0
18.327 * [backup-simplify]: Simplify 0 into 0
18.327 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
18.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
18.328 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
18.328 * [taylor]: Taking taylor expansion of 1 in n
18.328 * [backup-simplify]: Simplify 1 into 1
18.328 * [backup-simplify]: Simplify 1 into 1
18.328 * [backup-simplify]: Simplify 0 into 0
18.328 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
18.328 * [backup-simplify]: Simplify (+ 0 0) into 0
18.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
18.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
18.330 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n
18.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
18.330 * [taylor]: Taking taylor expansion of 1/2 in n
18.330 * [backup-simplify]: Simplify 1/2 into 1/2
18.330 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.330 * [taylor]: Taking taylor expansion of n in n
18.330 * [backup-simplify]: Simplify 0 into 0
18.330 * [backup-simplify]: Simplify 1 into 1
18.330 * [backup-simplify]: Simplify (/ 1 1) into 1
18.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.331 * [backup-simplify]: Simplify (- 0) into 0
18.331 * [backup-simplify]: Simplify 0 into 0
18.331 * [backup-simplify]: Simplify 0 into 0
18.332 * [backup-simplify]: Simplify 0 into 0
18.332 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
18.332 * [backup-simplify]: Simplify (+ 0 0) into 0
18.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
18.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
18.334 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
18.334 * [taylor]: Taking taylor expansion of 1/3 in n
18.334 * [backup-simplify]: Simplify 1/3 into 1/3
18.334 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
18.334 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.334 * [taylor]: Taking taylor expansion of n in n
18.334 * [backup-simplify]: Simplify 0 into 0
18.334 * [backup-simplify]: Simplify 1 into 1
18.335 * [backup-simplify]: Simplify (* 1 1) into 1
18.335 * [backup-simplify]: Simplify (/ 1 1) into 1
18.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
18.337 * [backup-simplify]: Simplify 0 into 0
18.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.339 * [backup-simplify]: Simplify (- 0) into 0
18.339 * [backup-simplify]: Simplify 0 into 0
18.339 * [backup-simplify]: Simplify (* 1 (* 1 i)) into i
18.339 * [backup-simplify]: Simplify (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (/ (log1p (/ n i)) n)
18.339 * [approximate]: Taking taylor expansion of (/ (log1p (/ n i)) n) in (i n) around 0
18.339 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
18.339 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.339 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.339 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.339 * [taylor]: Taking taylor expansion of 1 in n
18.339 * [backup-simplify]: Simplify 1 into 1
18.339 * [taylor]: Taking taylor expansion of (/ n i) in n
18.339 * [taylor]: Taking taylor expansion of n in n
18.339 * [backup-simplify]: Simplify 0 into 0
18.339 * [backup-simplify]: Simplify 1 into 1
18.339 * [taylor]: Taking taylor expansion of i in n
18.339 * [backup-simplify]: Simplify i into i
18.339 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.340 * [backup-simplify]: Simplify (+ 1 0) into 1
18.340 * [backup-simplify]: Simplify (log 1) into 0
18.340 * [taylor]: Taking taylor expansion of n in n
18.340 * [backup-simplify]: Simplify 0 into 0
18.340 * [backup-simplify]: Simplify 1 into 1
18.340 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
18.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
18.340 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
18.340 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.340 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.340 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.340 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.341 * [taylor]: Taking taylor expansion of 1 in i
18.341 * [backup-simplify]: Simplify 1 into 1
18.341 * [taylor]: Taking taylor expansion of (/ n i) in i
18.341 * [taylor]: Taking taylor expansion of n in i
18.341 * [backup-simplify]: Simplify n into n
18.341 * [taylor]: Taking taylor expansion of i in i
18.341 * [backup-simplify]: Simplify 0 into 0
18.341 * [backup-simplify]: Simplify 1 into 1
18.341 * [backup-simplify]: Simplify (/ n 1) into n
18.341 * [backup-simplify]: Simplify (+ 0 n) into n
18.341 * [backup-simplify]: Simplify (log n) into (log n)
18.341 * [taylor]: Taking taylor expansion of n in i
18.341 * [backup-simplify]: Simplify n into n
18.341 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.341 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.341 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.341 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.341 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.342 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.342 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.342 * [taylor]: Taking taylor expansion of 1 in i
18.342 * [backup-simplify]: Simplify 1 into 1
18.342 * [taylor]: Taking taylor expansion of (/ n i) in i
18.342 * [taylor]: Taking taylor expansion of n in i
18.342 * [backup-simplify]: Simplify n into n
18.342 * [taylor]: Taking taylor expansion of i in i
18.342 * [backup-simplify]: Simplify 0 into 0
18.342 * [backup-simplify]: Simplify 1 into 1
18.342 * [backup-simplify]: Simplify (/ n 1) into n
18.342 * [backup-simplify]: Simplify (+ 0 n) into n
18.342 * [backup-simplify]: Simplify (log n) into (log n)
18.342 * [taylor]: Taking taylor expansion of n in i
18.342 * [backup-simplify]: Simplify n into n
18.342 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.342 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.343 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.343 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.343 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.343 * [taylor]: Taking taylor expansion of (log n) in n
18.343 * [taylor]: Taking taylor expansion of n in n
18.343 * [backup-simplify]: Simplify 0 into 0
18.343 * [backup-simplify]: Simplify 1 into 1
18.343 * [backup-simplify]: Simplify (log 1) into 0
18.343 * [taylor]: Taking taylor expansion of (log i) in n
18.343 * [taylor]: Taking taylor expansion of i in n
18.343 * [backup-simplify]: Simplify i into i
18.343 * [backup-simplify]: Simplify (log i) into (log i)
18.343 * [taylor]: Taking taylor expansion of n in n
18.343 * [backup-simplify]: Simplify 0 into 0
18.343 * [backup-simplify]: Simplify 1 into 1
18.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.343 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.343 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.343 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
18.345 * [backup-simplify]: Simplify (- 0) into 0
18.345 * [backup-simplify]: Simplify (+ 0 0) into 0
18.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
18.346 * [backup-simplify]: Simplify 0 into 0
18.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.347 * [backup-simplify]: Simplify (+ 1 0) into 1
18.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.347 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.347 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
18.347 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.347 * [taylor]: Taking taylor expansion of n in n
18.347 * [backup-simplify]: Simplify 0 into 0
18.347 * [backup-simplify]: Simplify 1 into 1
18.348 * [backup-simplify]: Simplify (* 1 1) into 1
18.348 * [backup-simplify]: Simplify (/ 1 1) into 1
18.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.350 * [backup-simplify]: Simplify 0 into 0
18.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
18.353 * [backup-simplify]: Simplify (- 0) into 0
18.353 * [backup-simplify]: Simplify (+ 0 0) into 0
18.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.354 * [backup-simplify]: Simplify 0 into 0
18.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.355 * [backup-simplify]: Simplify (+ 0 0) into 0
18.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.357 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.357 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 3)))) in n
18.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
18.357 * [taylor]: Taking taylor expansion of 1/2 in n
18.357 * [backup-simplify]: Simplify 1/2 into 1/2
18.357 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
18.357 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.357 * [taylor]: Taking taylor expansion of n in n
18.357 * [backup-simplify]: Simplify 0 into 0
18.357 * [backup-simplify]: Simplify 1 into 1
18.357 * [backup-simplify]: Simplify (* 1 1) into 1
18.357 * [backup-simplify]: Simplify (* 1 1) into 1
18.358 * [backup-simplify]: Simplify (/ 1 1) into 1
18.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.363 * [backup-simplify]: Simplify (- 0) into 0
18.363 * [backup-simplify]: Simplify 0 into 0
18.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.365 * [backup-simplify]: Simplify 0 into 0
18.367 * [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
18.369 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
18.370 * [backup-simplify]: Simplify (- 0) into 0
18.370 * [backup-simplify]: Simplify (+ 0 0) into 0
18.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.372 * [backup-simplify]: Simplify 0 into 0
18.372 * [backup-simplify]: Simplify 0 into 0
18.372 * [backup-simplify]: Simplify (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (* -1 (/ (log1p (/ n i)) n))
18.372 * [approximate]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in (i n) around 0
18.372 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
18.372 * [taylor]: Taking taylor expansion of -1 in n
18.372 * [backup-simplify]: Simplify -1 into -1
18.372 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
18.372 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.372 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.372 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.372 * [taylor]: Taking taylor expansion of 1 in n
18.372 * [backup-simplify]: Simplify 1 into 1
18.372 * [taylor]: Taking taylor expansion of (/ n i) in n
18.372 * [taylor]: Taking taylor expansion of n in n
18.372 * [backup-simplify]: Simplify 0 into 0
18.372 * [backup-simplify]: Simplify 1 into 1
18.372 * [taylor]: Taking taylor expansion of i in n
18.372 * [backup-simplify]: Simplify i into i
18.372 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.372 * [backup-simplify]: Simplify (+ 1 0) into 1
18.373 * [backup-simplify]: Simplify (log 1) into 0
18.373 * [taylor]: Taking taylor expansion of n in n
18.373 * [backup-simplify]: Simplify 0 into 0
18.373 * [backup-simplify]: Simplify 1 into 1
18.373 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
18.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
18.373 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
18.373 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.373 * [taylor]: Taking taylor expansion of -1 in i
18.373 * [backup-simplify]: Simplify -1 into -1
18.373 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.373 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.373 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.373 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.373 * [taylor]: Taking taylor expansion of 1 in i
18.373 * [backup-simplify]: Simplify 1 into 1
18.373 * [taylor]: Taking taylor expansion of (/ n i) in i
18.373 * [taylor]: Taking taylor expansion of n in i
18.373 * [backup-simplify]: Simplify n into n
18.373 * [taylor]: Taking taylor expansion of i in i
18.374 * [backup-simplify]: Simplify 0 into 0
18.374 * [backup-simplify]: Simplify 1 into 1
18.374 * [backup-simplify]: Simplify (/ n 1) into n
18.374 * [backup-simplify]: Simplify (+ 0 n) into n
18.374 * [backup-simplify]: Simplify (log n) into (log n)
18.374 * [taylor]: Taking taylor expansion of n in i
18.374 * [backup-simplify]: Simplify n into n
18.374 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.374 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.374 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.374 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.374 * [taylor]: Taking taylor expansion of -1 in i
18.374 * [backup-simplify]: Simplify -1 into -1
18.374 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.374 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.374 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.375 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.375 * [taylor]: Taking taylor expansion of 1 in i
18.375 * [backup-simplify]: Simplify 1 into 1
18.375 * [taylor]: Taking taylor expansion of (/ n i) in i
18.375 * [taylor]: Taking taylor expansion of n in i
18.375 * [backup-simplify]: Simplify n into n
18.375 * [taylor]: Taking taylor expansion of i in i
18.375 * [backup-simplify]: Simplify 0 into 0
18.375 * [backup-simplify]: Simplify 1 into 1
18.375 * [backup-simplify]: Simplify (/ n 1) into n
18.375 * [backup-simplify]: Simplify (+ 0 n) into n
18.375 * [backup-simplify]: Simplify (log n) into (log n)
18.375 * [taylor]: Taking taylor expansion of n in i
18.375 * [backup-simplify]: Simplify n into n
18.375 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.376 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.376 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.376 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
18.376 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.376 * [taylor]: Taking taylor expansion of -1 in n
18.376 * [backup-simplify]: Simplify -1 into -1
18.376 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.376 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.376 * [taylor]: Taking taylor expansion of (log n) in n
18.376 * [taylor]: Taking taylor expansion of n in n
18.376 * [backup-simplify]: Simplify 0 into 0
18.376 * [backup-simplify]: Simplify 1 into 1
18.376 * [backup-simplify]: Simplify (log 1) into 0
18.376 * [taylor]: Taking taylor expansion of (log i) in n
18.376 * [taylor]: Taking taylor expansion of i in n
18.376 * [backup-simplify]: Simplify i into i
18.376 * [backup-simplify]: Simplify (log i) into (log i)
18.376 * [taylor]: Taking taylor expansion of n in n
18.376 * [backup-simplify]: Simplify 0 into 0
18.376 * [backup-simplify]: Simplify 1 into 1
18.376 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.377 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.377 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.377 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
18.382 * [backup-simplify]: Simplify (- 0) into 0
18.382 * [backup-simplify]: Simplify (+ 0 0) into 0
18.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)))) into 0
18.384 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (log n) (log i)))) into 0
18.384 * [backup-simplify]: Simplify 0 into 0
18.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.385 * [backup-simplify]: Simplify (+ 1 0) into 1
18.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.386 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.386 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
18.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n
18.386 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
18.386 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.386 * [taylor]: Taking taylor expansion of n in n
18.386 * [backup-simplify]: Simplify 0 into 0
18.386 * [backup-simplify]: Simplify 1 into 1
18.386 * [backup-simplify]: Simplify (* 1 1) into 1
18.387 * [backup-simplify]: Simplify (/ 1 1) into 1
18.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.390 * [backup-simplify]: Simplify (- 0) into 0
18.390 * [backup-simplify]: Simplify 0 into 0
18.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
18.393 * [backup-simplify]: Simplify (- 0) into 0
18.393 * [backup-simplify]: Simplify (+ 0 0) into 0
18.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0
18.395 * [backup-simplify]: Simplify 0 into 0
18.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.396 * [backup-simplify]: Simplify (+ 0 0) into 0
18.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.397 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.397 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
18.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
18.397 * [taylor]: Taking taylor expansion of 1/2 in n
18.397 * [backup-simplify]: Simplify 1/2 into 1/2
18.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
18.397 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.397 * [taylor]: Taking taylor expansion of n in n
18.397 * [backup-simplify]: Simplify 0 into 0
18.398 * [backup-simplify]: Simplify 1 into 1
18.398 * [backup-simplify]: Simplify (* 1 1) into 1
18.398 * [backup-simplify]: Simplify (* 1 1) into 1
18.398 * [backup-simplify]: Simplify (/ 1 1) into 1
18.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.404 * [backup-simplify]: Simplify 0 into 0
18.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.405 * [backup-simplify]: Simplify (- 0) into 0
18.405 * [backup-simplify]: Simplify 0 into 0
18.408 * [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
18.410 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0
18.410 * [backup-simplify]: Simplify (- 0) into 0
18.411 * [backup-simplify]: Simplify (+ 0 0) into 0
18.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0
18.412 * [backup-simplify]: Simplify 0 into 0
18.413 * [backup-simplify]: Simplify 0 into 0
18.413 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
18.413 * [backup-simplify]: Simplify (log1p (/ i n)) into (log1p (/ i n))
18.413 * [approximate]: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0
18.413 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
18.413 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.413 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
18.413 * [taylor]: Taking taylor expansion of 1 in n
18.413 * [backup-simplify]: Simplify 1 into 1
18.413 * [taylor]: Taking taylor expansion of (/ i n) in n
18.413 * [taylor]: Taking taylor expansion of i in n
18.413 * [backup-simplify]: Simplify i into i
18.413 * [taylor]: Taking taylor expansion of n in n
18.413 * [backup-simplify]: Simplify 0 into 0
18.413 * [backup-simplify]: Simplify 1 into 1
18.413 * [backup-simplify]: Simplify (/ i 1) into i
18.413 * [backup-simplify]: Simplify (+ 0 i) into i
18.413 * [backup-simplify]: Simplify (log i) into (log i)
18.413 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.413 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.413 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.413 * [taylor]: Taking taylor expansion of 1 in i
18.413 * [backup-simplify]: Simplify 1 into 1
18.413 * [taylor]: Taking taylor expansion of (/ i n) in i
18.413 * [taylor]: Taking taylor expansion of i in i
18.413 * [backup-simplify]: Simplify 0 into 0
18.413 * [backup-simplify]: Simplify 1 into 1
18.413 * [taylor]: Taking taylor expansion of n in i
18.413 * [backup-simplify]: Simplify n into n
18.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.414 * [backup-simplify]: Simplify (+ 1 0) into 1
18.414 * [backup-simplify]: Simplify (log 1) into 0
18.414 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.414 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.414 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.414 * [taylor]: Taking taylor expansion of 1 in i
18.414 * [backup-simplify]: Simplify 1 into 1
18.414 * [taylor]: Taking taylor expansion of (/ i n) in i
18.414 * [taylor]: Taking taylor expansion of i in i
18.414 * [backup-simplify]: Simplify 0 into 0
18.414 * [backup-simplify]: Simplify 1 into 1
18.414 * [taylor]: Taking taylor expansion of n in i
18.414 * [backup-simplify]: Simplify n into n
18.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.414 * [backup-simplify]: Simplify (+ 1 0) into 1
18.415 * [backup-simplify]: Simplify (log 1) into 0
18.415 * [taylor]: Taking taylor expansion of 0 in n
18.415 * [backup-simplify]: Simplify 0 into 0
18.415 * [backup-simplify]: Simplify 0 into 0
18.415 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
18.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
18.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.415 * [taylor]: Taking taylor expansion of n in n
18.415 * [backup-simplify]: Simplify 0 into 0
18.415 * [backup-simplify]: Simplify 1 into 1
18.416 * [backup-simplify]: Simplify (/ 1 1) into 1
18.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.416 * [backup-simplify]: Simplify 0 into 0
18.416 * [backup-simplify]: Simplify 0 into 0
18.416 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
18.416 * [backup-simplify]: Simplify (+ 0 0) into 0
18.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
18.417 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
18.418 * [taylor]: Taking taylor expansion of -1/2 in n
18.418 * [backup-simplify]: Simplify -1/2 into -1/2
18.418 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.418 * [taylor]: Taking taylor expansion of n in n
18.418 * [backup-simplify]: Simplify 0 into 0
18.418 * [backup-simplify]: Simplify 1 into 1
18.418 * [backup-simplify]: Simplify (* 1 1) into 1
18.418 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.420 * [backup-simplify]: Simplify 0 into 0
18.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.421 * [backup-simplify]: Simplify 0 into 0
18.421 * [backup-simplify]: Simplify 0 into 0
18.421 * [backup-simplify]: Simplify 0 into 0
18.421 * [backup-simplify]: Simplify (log1p (/ (/ 1 i) (/ 1 n))) into (log1p (/ n i))
18.421 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0
18.421 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.421 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.421 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.421 * [taylor]: Taking taylor expansion of 1 in n
18.421 * [backup-simplify]: Simplify 1 into 1
18.421 * [taylor]: Taking taylor expansion of (/ n i) in n
18.421 * [taylor]: Taking taylor expansion of n in n
18.421 * [backup-simplify]: Simplify 0 into 0
18.421 * [backup-simplify]: Simplify 1 into 1
18.421 * [taylor]: Taking taylor expansion of i in n
18.421 * [backup-simplify]: Simplify i into i
18.421 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.421 * [backup-simplify]: Simplify (+ 1 0) into 1
18.422 * [backup-simplify]: Simplify (log 1) into 0
18.422 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.422 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.422 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.422 * [taylor]: Taking taylor expansion of 1 in i
18.422 * [backup-simplify]: Simplify 1 into 1
18.422 * [taylor]: Taking taylor expansion of (/ n i) in i
18.422 * [taylor]: Taking taylor expansion of n in i
18.422 * [backup-simplify]: Simplify n into n
18.422 * [taylor]: Taking taylor expansion of i in i
18.422 * [backup-simplify]: Simplify 0 into 0
18.422 * [backup-simplify]: Simplify 1 into 1
18.422 * [backup-simplify]: Simplify (/ n 1) into n
18.422 * [backup-simplify]: Simplify (+ 0 n) into n
18.422 * [backup-simplify]: Simplify (log n) into (log n)
18.422 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.422 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.422 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.422 * [taylor]: Taking taylor expansion of 1 in i
18.422 * [backup-simplify]: Simplify 1 into 1
18.422 * [taylor]: Taking taylor expansion of (/ n i) in i
18.422 * [taylor]: Taking taylor expansion of n in i
18.422 * [backup-simplify]: Simplify n into n
18.422 * [taylor]: Taking taylor expansion of i in i
18.422 * [backup-simplify]: Simplify 0 into 0
18.422 * [backup-simplify]: Simplify 1 into 1
18.422 * [backup-simplify]: Simplify (/ n 1) into n
18.422 * [backup-simplify]: Simplify (+ 0 n) into n
18.423 * [backup-simplify]: Simplify (log n) into (log n)
18.423 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.423 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.423 * [taylor]: Taking taylor expansion of (log n) in n
18.423 * [taylor]: Taking taylor expansion of n in n
18.423 * [backup-simplify]: Simplify 0 into 0
18.423 * [backup-simplify]: Simplify 1 into 1
18.424 * [backup-simplify]: Simplify (log 1) into 0
18.424 * [taylor]: Taking taylor expansion of (log i) in n
18.424 * [taylor]: Taking taylor expansion of i in n
18.424 * [backup-simplify]: Simplify i into i
18.424 * [backup-simplify]: Simplify (log i) into (log i)
18.424 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.424 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.424 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.424 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
18.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.426 * [backup-simplify]: Simplify (+ 1 0) into 1
18.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.426 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.426 * [taylor]: Taking taylor expansion of n in n
18.426 * [backup-simplify]: Simplify 0 into 0
18.426 * [backup-simplify]: Simplify 1 into 1
18.427 * [backup-simplify]: Simplify (/ 1 1) into 1
18.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.427 * [backup-simplify]: Simplify 0 into 0
18.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
18.429 * [backup-simplify]: Simplify (- 0) into 0
18.429 * [backup-simplify]: Simplify (+ 0 0) into 0
18.429 * [backup-simplify]: Simplify 0 into 0
18.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.430 * [backup-simplify]: Simplify (+ 0 0) into 0
18.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.431 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
18.431 * [taylor]: Taking taylor expansion of -1/2 in n
18.431 * [backup-simplify]: Simplify -1/2 into -1/2
18.431 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.431 * [taylor]: Taking taylor expansion of n in n
18.431 * [backup-simplify]: Simplify 0 into 0
18.431 * [backup-simplify]: Simplify 1 into 1
18.432 * [backup-simplify]: Simplify (* 1 1) into 1
18.432 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.434 * [backup-simplify]: Simplify 0 into 0
18.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.435 * [backup-simplify]: Simplify 0 into 0
18.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
18.437 * [backup-simplify]: Simplify (- 0) into 0
18.438 * [backup-simplify]: Simplify (+ 0 0) into 0
18.438 * [backup-simplify]: Simplify 0 into 0
18.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.439 * [backup-simplify]: Simplify (+ 0 0) into 0
18.441 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.441 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
18.441 * [taylor]: Taking taylor expansion of 1/3 in n
18.441 * [backup-simplify]: Simplify 1/3 into 1/3
18.441 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.441 * [taylor]: Taking taylor expansion of n in n
18.441 * [backup-simplify]: Simplify 0 into 0
18.441 * [backup-simplify]: Simplify 1 into 1
18.441 * [backup-simplify]: Simplify (* 1 1) into 1
18.441 * [backup-simplify]: Simplify (* 1 1) into 1
18.442 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
18.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
18.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.447 * [backup-simplify]: Simplify 0 into 0
18.447 * [backup-simplify]: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i)))
18.447 * [backup-simplify]: Simplify (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) into (log1p (/ n i))
18.447 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0
18.447 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.447 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.447 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.447 * [taylor]: Taking taylor expansion of 1 in n
18.447 * [backup-simplify]: Simplify 1 into 1
18.447 * [taylor]: Taking taylor expansion of (/ n i) in n
18.447 * [taylor]: Taking taylor expansion of n in n
18.447 * [backup-simplify]: Simplify 0 into 0
18.447 * [backup-simplify]: Simplify 1 into 1
18.447 * [taylor]: Taking taylor expansion of i in n
18.447 * [backup-simplify]: Simplify i into i
18.447 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.447 * [backup-simplify]: Simplify (+ 1 0) into 1
18.448 * [backup-simplify]: Simplify (log 1) into 0
18.448 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.448 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.448 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.448 * [taylor]: Taking taylor expansion of 1 in i
18.448 * [backup-simplify]: Simplify 1 into 1
18.448 * [taylor]: Taking taylor expansion of (/ n i) in i
18.448 * [taylor]: Taking taylor expansion of n in i
18.448 * [backup-simplify]: Simplify n into n
18.448 * [taylor]: Taking taylor expansion of i in i
18.448 * [backup-simplify]: Simplify 0 into 0
18.448 * [backup-simplify]: Simplify 1 into 1
18.448 * [backup-simplify]: Simplify (/ n 1) into n
18.448 * [backup-simplify]: Simplify (+ 0 n) into n
18.448 * [backup-simplify]: Simplify (log n) into (log n)
18.448 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.448 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.448 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.448 * [taylor]: Taking taylor expansion of 1 in i
18.448 * [backup-simplify]: Simplify 1 into 1
18.448 * [taylor]: Taking taylor expansion of (/ n i) in i
18.448 * [taylor]: Taking taylor expansion of n in i
18.448 * [backup-simplify]: Simplify n into n
18.448 * [taylor]: Taking taylor expansion of i in i
18.448 * [backup-simplify]: Simplify 0 into 0
18.448 * [backup-simplify]: Simplify 1 into 1
18.448 * [backup-simplify]: Simplify (/ n 1) into n
18.448 * [backup-simplify]: Simplify (+ 0 n) into n
18.448 * [backup-simplify]: Simplify (log n) into (log n)
18.449 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.449 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.449 * [taylor]: Taking taylor expansion of (log n) in n
18.449 * [taylor]: Taking taylor expansion of n in n
18.449 * [backup-simplify]: Simplify 0 into 0
18.449 * [backup-simplify]: Simplify 1 into 1
18.449 * [backup-simplify]: Simplify (log 1) into 0
18.449 * [taylor]: Taking taylor expansion of (log i) in n
18.449 * [taylor]: Taking taylor expansion of i in n
18.449 * [backup-simplify]: Simplify i into i
18.449 * [backup-simplify]: Simplify (log i) into (log i)
18.449 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.449 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.449 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.449 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i))
18.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.450 * [backup-simplify]: Simplify (+ 1 0) into 1
18.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.451 * [taylor]: Taking taylor expansion of n in n
18.451 * [backup-simplify]: Simplify 0 into 0
18.451 * [backup-simplify]: Simplify 1 into 1
18.451 * [backup-simplify]: Simplify (/ 1 1) into 1
18.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.452 * [backup-simplify]: Simplify 0 into 0
18.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
18.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
18.454 * [backup-simplify]: Simplify (- 0) into 0
18.454 * [backup-simplify]: Simplify (+ 0 0) into 0
18.454 * [backup-simplify]: Simplify 0 into 0
18.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.455 * [backup-simplify]: Simplify (+ 0 0) into 0
18.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.456 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n
18.456 * [taylor]: Taking taylor expansion of -1/2 in n
18.456 * [backup-simplify]: Simplify -1/2 into -1/2
18.456 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.456 * [taylor]: Taking taylor expansion of n in n
18.456 * [backup-simplify]: Simplify 0 into 0
18.456 * [backup-simplify]: Simplify 1 into 1
18.456 * [backup-simplify]: Simplify (* 1 1) into 1
18.457 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.459 * [backup-simplify]: Simplify 0 into 0
18.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.460 * [backup-simplify]: Simplify 0 into 0
18.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
18.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
18.465 * [backup-simplify]: Simplify (- 0) into 0
18.466 * [backup-simplify]: Simplify (+ 0 0) into 0
18.466 * [backup-simplify]: Simplify 0 into 0
18.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.468 * [backup-simplify]: Simplify (+ 0 0) into 0
18.470 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.470 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n
18.470 * [taylor]: Taking taylor expansion of 1/3 in n
18.470 * [backup-simplify]: Simplify 1/3 into 1/3
18.470 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.470 * [taylor]: Taking taylor expansion of n in n
18.470 * [backup-simplify]: Simplify 0 into 0
18.470 * [backup-simplify]: Simplify 1 into 1
18.470 * [backup-simplify]: Simplify (* 1 1) into 1
18.470 * [backup-simplify]: Simplify (* 1 1) into 1
18.471 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3
18.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0
18.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.476 * [backup-simplify]: Simplify 0 into 0
18.476 * [backup-simplify]: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i)))
18.476 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
18.476 * [backup-simplify]: Simplify (* 100 (expm1 (* (log1p (/ i n)) n))) into (* 100 (expm1 (* (log1p (/ i n)) n)))
18.476 * [approximate]: Taking taylor expansion of (* 100 (expm1 (* (log1p (/ i n)) n))) in (i n) around 0
18.476 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* (log1p (/ i n)) n))) in n
18.476 * [taylor]: Taking taylor expansion of 100 in n
18.476 * [backup-simplify]: Simplify 100 into 100
18.476 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in n
18.476 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
18.476 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n
18.476 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n
18.476 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n
18.476 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.476 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n
18.476 * [taylor]: Taking taylor expansion of 1 in n
18.476 * [backup-simplify]: Simplify 1 into 1
18.476 * [taylor]: Taking taylor expansion of (/ i n) in n
18.476 * [taylor]: Taking taylor expansion of i in n
18.476 * [backup-simplify]: Simplify i into i
18.476 * [taylor]: Taking taylor expansion of n in n
18.476 * [backup-simplify]: Simplify 0 into 0
18.476 * [backup-simplify]: Simplify 1 into 1
18.476 * [backup-simplify]: Simplify (/ i 1) into i
18.476 * [backup-simplify]: Simplify (+ 0 i) into i
18.476 * [backup-simplify]: Simplify (log i) into (log i)
18.476 * [taylor]: Taking taylor expansion of n in n
18.476 * [backup-simplify]: Simplify 0 into 0
18.476 * [backup-simplify]: Simplify 1 into 1
18.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
18.477 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0
18.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
18.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
18.482 * [backup-simplify]: Simplify (+ 1 0) into 1
18.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
18.483 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n))
18.483 * [backup-simplify]: Simplify (exp 0) into 1
18.483 * [taylor]: Taking taylor expansion of 1 in n
18.483 * [backup-simplify]: Simplify 1 into 1
18.483 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* (log1p (/ i n)) n))) in i
18.483 * [taylor]: Taking taylor expansion of 100 in i
18.483 * [backup-simplify]: Simplify 100 into 100
18.483 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
18.483 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
18.483 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
18.483 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
18.483 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.483 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.483 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.483 * [taylor]: Taking taylor expansion of 1 in i
18.483 * [backup-simplify]: Simplify 1 into 1
18.483 * [taylor]: Taking taylor expansion of (/ i n) in i
18.483 * [taylor]: Taking taylor expansion of i in i
18.483 * [backup-simplify]: Simplify 0 into 0
18.483 * [backup-simplify]: Simplify 1 into 1
18.483 * [taylor]: Taking taylor expansion of n in i
18.483 * [backup-simplify]: Simplify n into n
18.483 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.484 * [backup-simplify]: Simplify (+ 1 0) into 1
18.484 * [backup-simplify]: Simplify (log 1) into 0
18.484 * [taylor]: Taking taylor expansion of n in i
18.484 * [backup-simplify]: Simplify n into n
18.484 * [backup-simplify]: Simplify (* 0 n) into 0
18.484 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
18.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
18.485 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
18.485 * [backup-simplify]: Simplify (exp 0) into 1
18.485 * [taylor]: Taking taylor expansion of 1 in i
18.485 * [backup-simplify]: Simplify 1 into 1
18.485 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* (log1p (/ i n)) n))) in i
18.485 * [taylor]: Taking taylor expansion of 100 in i
18.485 * [backup-simplify]: Simplify 100 into 100
18.485 * [taylor]: Taking taylor expansion of (expm1 (* (log1p (/ i n)) n)) in i
18.485 * [taylor]: Rewrote expression to (- (exp (* (log1p (/ i n)) n)) 1)
18.485 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i
18.485 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i
18.485 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i
18.485 * [taylor]: Rewrote expression to (log (+ 1 (/ i n)))
18.485 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i
18.485 * [taylor]: Taking taylor expansion of 1 in i
18.485 * [backup-simplify]: Simplify 1 into 1
18.485 * [taylor]: Taking taylor expansion of (/ i n) in i
18.485 * [taylor]: Taking taylor expansion of i in i
18.485 * [backup-simplify]: Simplify 0 into 0
18.485 * [backup-simplify]: Simplify 1 into 1
18.485 * [taylor]: Taking taylor expansion of n in i
18.485 * [backup-simplify]: Simplify n into n
18.485 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
18.486 * [backup-simplify]: Simplify (+ 1 0) into 1
18.486 * [backup-simplify]: Simplify (log 1) into 0
18.486 * [taylor]: Taking taylor expansion of n in i
18.486 * [backup-simplify]: Simplify n into n
18.486 * [backup-simplify]: Simplify (* 0 n) into 0
18.486 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
18.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
18.487 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1
18.487 * [backup-simplify]: Simplify (exp 0) into 1
18.487 * [taylor]: Taking taylor expansion of 1 in i
18.487 * [backup-simplify]: Simplify 1 into 1
18.487 * [backup-simplify]: Simplify (- 1) into -1
18.488 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.488 * [backup-simplify]: Simplify (* 100 0) into 0
18.488 * [taylor]: Taking taylor expansion of 0 in n
18.488 * [backup-simplify]: Simplify 0 into 0
18.488 * [backup-simplify]: Simplify 0 into 0
18.489 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
18.490 * [backup-simplify]: Simplify (- 0) into 0
18.490 * [backup-simplify]: Simplify (+ 1 0) into 1
18.491 * [backup-simplify]: Simplify (+ (* 100 1) (* 0 0)) into 100
18.491 * [taylor]: Taking taylor expansion of 100 in n
18.491 * [backup-simplify]: Simplify 100 into 100
18.491 * [backup-simplify]: Simplify 100 into 100
18.491 * [backup-simplify]: Simplify 0 into 0
18.492 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
18.492 * [backup-simplify]: Simplify (+ 0 0) into 0
18.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2))
18.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (* (/ -1/2 (pow n 2)) n))) into (- (* 1/2 (/ 1 n)))
18.495 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
18.496 * [backup-simplify]: Simplify (- 0) into 0
18.496 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
18.497 * [backup-simplify]: Simplify (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0))) into (- 50 (* 50 (/ 1 n)))
18.497 * [taylor]: Taking taylor expansion of (- 50 (* 50 (/ 1 n))) in n
18.497 * [taylor]: Taking taylor expansion of 50 in n
18.497 * [backup-simplify]: Simplify 50 into 50
18.497 * [taylor]: Taking taylor expansion of (* 50 (/ 1 n)) in n
18.497 * [taylor]: Taking taylor expansion of 50 in n
18.497 * [backup-simplify]: Simplify 50 into 50
18.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.497 * [taylor]: Taking taylor expansion of n in n
18.497 * [backup-simplify]: Simplify 0 into 0
18.497 * [backup-simplify]: Simplify 1 into 1
18.497 * [backup-simplify]: Simplify (/ 1 1) into 1
18.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.499 * [backup-simplify]: Simplify (+ (* 50 0) (* 0 1)) into 0
18.499 * [backup-simplify]: Simplify (- 0) into 0
18.500 * [backup-simplify]: Simplify (+ 50 0) into 50
18.500 * [backup-simplify]: Simplify 50 into 50
18.500 * [backup-simplify]: Simplify 0 into 0
18.500 * [backup-simplify]: Simplify 0 into 0
18.500 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
18.500 * [backup-simplify]: Simplify (+ 0 0) into 0
18.504 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3))
18.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ 1 n) 0) (+ (* (/ -1/2 (pow n 2)) 0) (* (/ 1/3 (pow n 3)) n)))) into (* 1/3 (/ 1 (pow n 2)))
18.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
18.507 * [backup-simplify]: Simplify (- 0) into 0
18.507 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))
18.508 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n)))) (+ (* 0 (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 0)))) into (- (+ (* 100/3 (/ 1 (pow n 2))) 50/3) (* 50 (/ 1 n)))
18.508 * [taylor]: Taking taylor expansion of (- (+ (* 100/3 (/ 1 (pow n 2))) 50/3) (* 50 (/ 1 n))) in n
18.508 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ 1 (pow n 2))) 50/3) in n
18.508 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 (pow n 2))) in n
18.508 * [taylor]: Taking taylor expansion of 100/3 in n
18.509 * [backup-simplify]: Simplify 100/3 into 100/3
18.509 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
18.509 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.509 * [taylor]: Taking taylor expansion of n in n
18.509 * [backup-simplify]: Simplify 0 into 0
18.509 * [backup-simplify]: Simplify 1 into 1
18.509 * [backup-simplify]: Simplify (* 1 1) into 1
18.509 * [backup-simplify]: Simplify (/ 1 1) into 1
18.509 * [taylor]: Taking taylor expansion of 50/3 in n
18.509 * [backup-simplify]: Simplify 50/3 into 50/3
18.509 * [taylor]: Taking taylor expansion of (* 50 (/ 1 n)) in n
18.510 * [taylor]: Taking taylor expansion of 50 in n
18.510 * [backup-simplify]: Simplify 50 into 50
18.510 * [taylor]: Taking taylor expansion of (/ 1 n) in n
18.510 * [taylor]: Taking taylor expansion of n in n
18.510 * [backup-simplify]: Simplify 0 into 0
18.510 * [backup-simplify]: Simplify 1 into 1
18.510 * [backup-simplify]: Simplify (/ 1 1) into 1
18.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.513 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (* 0 1))) into 0
18.513 * [backup-simplify]: Simplify (+ 0 50/3) into 50/3
18.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.514 * [backup-simplify]: Simplify (+ (* 50 0) (* 0 1)) into 0
18.514 * [backup-simplify]: Simplify (- 0) into 0
18.515 * [backup-simplify]: Simplify (+ 50/3 0) into 50/3
18.515 * [backup-simplify]: Simplify 50/3 into 50/3
18.515 * [backup-simplify]: Simplify (+ (* 50/3 (pow (* 1 i) 3)) (+ (* 50 (pow (* 1 i) 2)) (* 100 (* 1 i)))) into (+ (* 100 i) (+ (* 50 (pow i 2)) (* 50/3 (pow i 3))))
18.515 * [backup-simplify]: Simplify (* 100 (expm1 (* (log1p (/ (/ 1 i) (/ 1 n))) (/ 1 n)))) into (* 100 (expm1 (/ (log1p (/ n i)) n)))
18.515 * [approximate]: Taking taylor expansion of (* 100 (expm1 (/ (log1p (/ n i)) n))) in (i n) around 0
18.515 * [taylor]: Taking taylor expansion of (* 100 (expm1 (/ (log1p (/ n i)) n))) in n
18.515 * [taylor]: Taking taylor expansion of 100 in n
18.515 * [backup-simplify]: Simplify 100 into 100
18.515 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in n
18.515 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
18.515 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n
18.515 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
18.515 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.515 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.515 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.515 * [taylor]: Taking taylor expansion of 1 in n
18.515 * [backup-simplify]: Simplify 1 into 1
18.515 * [taylor]: Taking taylor expansion of (/ n i) in n
18.515 * [taylor]: Taking taylor expansion of n in n
18.516 * [backup-simplify]: Simplify 0 into 0
18.516 * [backup-simplify]: Simplify 1 into 1
18.516 * [taylor]: Taking taylor expansion of i in n
18.516 * [backup-simplify]: Simplify i into i
18.516 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.516 * [backup-simplify]: Simplify (+ 1 0) into 1
18.516 * [backup-simplify]: Simplify (log 1) into 0
18.516 * [taylor]: Taking taylor expansion of n in n
18.516 * [backup-simplify]: Simplify 0 into 0
18.516 * [backup-simplify]: Simplify 1 into 1
18.516 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
18.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
18.517 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
18.517 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
18.517 * [taylor]: Taking taylor expansion of 1 in n
18.517 * [backup-simplify]: Simplify 1 into 1
18.517 * [taylor]: Taking taylor expansion of (* 100 (expm1 (/ (log1p (/ n i)) n))) in i
18.517 * [taylor]: Taking taylor expansion of 100 in i
18.517 * [backup-simplify]: Simplify 100 into 100
18.517 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
18.517 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
18.517 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
18.517 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.517 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.517 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.517 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.517 * [taylor]: Taking taylor expansion of 1 in i
18.517 * [backup-simplify]: Simplify 1 into 1
18.517 * [taylor]: Taking taylor expansion of (/ n i) in i
18.517 * [taylor]: Taking taylor expansion of n in i
18.517 * [backup-simplify]: Simplify n into n
18.517 * [taylor]: Taking taylor expansion of i in i
18.517 * [backup-simplify]: Simplify 0 into 0
18.517 * [backup-simplify]: Simplify 1 into 1
18.517 * [backup-simplify]: Simplify (/ n 1) into n
18.517 * [backup-simplify]: Simplify (+ 0 n) into n
18.517 * [backup-simplify]: Simplify (log n) into (log n)
18.517 * [taylor]: Taking taylor expansion of n in i
18.517 * [backup-simplify]: Simplify n into n
18.518 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.518 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.518 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.518 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.518 * [taylor]: Taking taylor expansion of 1 in i
18.518 * [backup-simplify]: Simplify 1 into 1
18.518 * [taylor]: Taking taylor expansion of (* 100 (expm1 (/ (log1p (/ n i)) n))) in i
18.518 * [taylor]: Taking taylor expansion of 100 in i
18.518 * [backup-simplify]: Simplify 100 into 100
18.518 * [taylor]: Taking taylor expansion of (expm1 (/ (log1p (/ n i)) n)) in i
18.519 * [taylor]: Rewrote expression to (- (exp (/ (log1p (/ n i)) n)) 1)
18.519 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i
18.519 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.519 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.519 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.519 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.519 * [taylor]: Taking taylor expansion of 1 in i
18.519 * [backup-simplify]: Simplify 1 into 1
18.519 * [taylor]: Taking taylor expansion of (/ n i) in i
18.519 * [taylor]: Taking taylor expansion of n in i
18.519 * [backup-simplify]: Simplify n into n
18.519 * [taylor]: Taking taylor expansion of i in i
18.519 * [backup-simplify]: Simplify 0 into 0
18.519 * [backup-simplify]: Simplify 1 into 1
18.519 * [backup-simplify]: Simplify (/ n 1) into n
18.519 * [backup-simplify]: Simplify (+ 0 n) into n
18.519 * [backup-simplify]: Simplify (log n) into (log n)
18.519 * [taylor]: Taking taylor expansion of n in i
18.519 * [backup-simplify]: Simplify n into n
18.519 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.520 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.520 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.520 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.520 * [taylor]: Taking taylor expansion of 1 in i
18.520 * [backup-simplify]: Simplify 1 into 1
18.521 * [backup-simplify]: Simplify (- 1) into -1
18.521 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.521 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
18.521 * [taylor]: Taking taylor expansion of (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) in n
18.521 * [taylor]: Taking taylor expansion of 100 in n
18.521 * [backup-simplify]: Simplify 100 into 100
18.521 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
18.521 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.521 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.521 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.521 * [taylor]: Taking taylor expansion of (log n) in n
18.521 * [taylor]: Taking taylor expansion of n in n
18.521 * [backup-simplify]: Simplify 0 into 0
18.521 * [backup-simplify]: Simplify 1 into 1
18.521 * [backup-simplify]: Simplify (log 1) into 0
18.521 * [taylor]: Taking taylor expansion of (log i) in n
18.521 * [taylor]: Taking taylor expansion of i in n
18.521 * [backup-simplify]: Simplify i into i
18.521 * [backup-simplify]: Simplify (log i) into (log i)
18.521 * [taylor]: Taking taylor expansion of n in n
18.521 * [backup-simplify]: Simplify 0 into 0
18.521 * [backup-simplify]: Simplify 1 into 1
18.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.522 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.522 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.522 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.522 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.522 * [taylor]: Taking taylor expansion of 1 in n
18.522 * [backup-simplify]: Simplify 1 into 1
18.522 * [backup-simplify]: Simplify (- 1) into -1
18.522 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
18.522 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
18.522 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
18.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.523 * [backup-simplify]: Simplify (+ 1 0) into 1
18.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.524 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.524 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.524 * [backup-simplify]: Simplify (- 0) into 0
18.525 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
18.525 * [backup-simplify]: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)))
18.525 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) in n
18.525 * [taylor]: Taking taylor expansion of 100 in n
18.525 * [backup-simplify]: Simplify 100 into 100
18.525 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
18.525 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.525 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.525 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.525 * [taylor]: Taking taylor expansion of (log n) in n
18.525 * [taylor]: Taking taylor expansion of n in n
18.525 * [backup-simplify]: Simplify 0 into 0
18.525 * [backup-simplify]: Simplify 1 into 1
18.525 * [backup-simplify]: Simplify (log 1) into 0
18.525 * [taylor]: Taking taylor expansion of (log i) in n
18.525 * [taylor]: Taking taylor expansion of i in n
18.525 * [backup-simplify]: Simplify i into i
18.525 * [backup-simplify]: Simplify (log i) into (log i)
18.525 * [taylor]: Taking taylor expansion of n in n
18.525 * [backup-simplify]: Simplify 0 into 0
18.525 * [backup-simplify]: Simplify 1 into 1
18.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.526 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.526 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.526 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.526 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.526 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.526 * [taylor]: Taking taylor expansion of n in n
18.526 * [backup-simplify]: Simplify 0 into 0
18.526 * [backup-simplify]: Simplify 1 into 1
18.526 * [backup-simplify]: Simplify (* 1 1) into 1
18.526 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.529 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
18.529 * [backup-simplify]: Simplify 0 into 0
18.530 * [backup-simplify]: Simplify (- 0) into 0
18.530 * [backup-simplify]: Simplify (+ 0 0) into 0
18.530 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
18.530 * [backup-simplify]: Simplify 0 into 0
18.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.531 * [backup-simplify]: Simplify (+ 0 0) into 0
18.532 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.533 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.533 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))
18.533 * [backup-simplify]: Simplify (- 0) into 0
18.534 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
18.534 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
18.534 * [taylor]: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) in n
18.534 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
18.534 * [taylor]: Taking taylor expansion of 50 in n
18.534 * [backup-simplify]: Simplify 50 into 50
18.534 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
18.534 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.534 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.534 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.534 * [taylor]: Taking taylor expansion of (log n) in n
18.534 * [taylor]: Taking taylor expansion of n in n
18.534 * [backup-simplify]: Simplify 0 into 0
18.534 * [backup-simplify]: Simplify 1 into 1
18.535 * [backup-simplify]: Simplify (log 1) into 0
18.535 * [taylor]: Taking taylor expansion of (log i) in n
18.535 * [taylor]: Taking taylor expansion of i in n
18.535 * [backup-simplify]: Simplify i into i
18.535 * [backup-simplify]: Simplify (log i) into (log i)
18.535 * [taylor]: Taking taylor expansion of n in n
18.535 * [backup-simplify]: Simplify 0 into 0
18.535 * [backup-simplify]: Simplify 1 into 1
18.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.535 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.535 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.535 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.535 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.535 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.535 * [taylor]: Taking taylor expansion of n in n
18.535 * [backup-simplify]: Simplify 0 into 0
18.535 * [backup-simplify]: Simplify 1 into 1
18.536 * [backup-simplify]: Simplify (* 1 1) into 1
18.536 * [backup-simplify]: Simplify (* 1 1) into 1
18.536 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.536 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
18.536 * [taylor]: Taking taylor expansion of 50 in n
18.536 * [backup-simplify]: Simplify 50 into 50
18.536 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
18.536 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.536 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.536 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.536 * [taylor]: Taking taylor expansion of (log n) in n
18.536 * [taylor]: Taking taylor expansion of n in n
18.536 * [backup-simplify]: Simplify 0 into 0
18.536 * [backup-simplify]: Simplify 1 into 1
18.536 * [backup-simplify]: Simplify (log 1) into 0
18.536 * [taylor]: Taking taylor expansion of (log i) in n
18.536 * [taylor]: Taking taylor expansion of i in n
18.536 * [backup-simplify]: Simplify i into i
18.536 * [backup-simplify]: Simplify (log i) into (log i)
18.536 * [taylor]: Taking taylor expansion of n in n
18.536 * [backup-simplify]: Simplify 0 into 0
18.536 * [backup-simplify]: Simplify 1 into 1
18.537 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.537 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.537 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.537 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.537 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.537 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.537 * [taylor]: Taking taylor expansion of n in n
18.537 * [backup-simplify]: Simplify 0 into 0
18.537 * [backup-simplify]: Simplify 1 into 1
18.537 * [backup-simplify]: Simplify (* 1 1) into 1
18.538 * [backup-simplify]: Simplify (* 1 1) into 1
18.538 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.554 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
18.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.566 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
18.566 * [backup-simplify]: Simplify (- 0) into 0
18.566 * [backup-simplify]: Simplify (+ 0 0) into 0
18.566 * [backup-simplify]: Simplify 0 into 0
18.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.569 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
18.569 * [backup-simplify]: Simplify 0 into 0
18.569 * [backup-simplify]: Simplify (- 0) into 0
18.570 * [backup-simplify]: Simplify (+ 0 0) into 0
18.570 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
18.570 * [backup-simplify]: Simplify 0 into 0
18.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.572 * [backup-simplify]: Simplify (+ 0 0) into 0
18.573 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.574 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
18.574 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))
18.575 * [backup-simplify]: Simplify (- 0) into 0
18.575 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
18.576 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (+ (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))
18.576 * [taylor]: Taking taylor expansion of (- (+ (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n
18.576 * [taylor]: Taking taylor expansion of (+ (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n
18.576 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
18.576 * [taylor]: Taking taylor expansion of 100/3 in n
18.576 * [backup-simplify]: Simplify 100/3 into 100/3
18.576 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
18.576 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.576 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.576 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.576 * [taylor]: Taking taylor expansion of (log n) in n
18.576 * [taylor]: Taking taylor expansion of n in n
18.576 * [backup-simplify]: Simplify 0 into 0
18.576 * [backup-simplify]: Simplify 1 into 1
18.577 * [backup-simplify]: Simplify (log 1) into 0
18.577 * [taylor]: Taking taylor expansion of (log i) in n
18.577 * [taylor]: Taking taylor expansion of i in n
18.577 * [backup-simplify]: Simplify i into i
18.577 * [backup-simplify]: Simplify (log i) into (log i)
18.577 * [taylor]: Taking taylor expansion of n in n
18.577 * [backup-simplify]: Simplify 0 into 0
18.577 * [backup-simplify]: Simplify 1 into 1
18.577 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.577 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.577 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.577 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.577 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.577 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.577 * [taylor]: Taking taylor expansion of n in n
18.577 * [backup-simplify]: Simplify 0 into 0
18.577 * [backup-simplify]: Simplify 1 into 1
18.578 * [backup-simplify]: Simplify (* 1 1) into 1
18.578 * [backup-simplify]: Simplify (* 1 1) into 1
18.578 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.578 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
18.578 * [taylor]: Taking taylor expansion of 50/3 in n
18.578 * [backup-simplify]: Simplify 50/3 into 50/3
18.578 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
18.578 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.578 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.578 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.578 * [taylor]: Taking taylor expansion of (log n) in n
18.578 * [taylor]: Taking taylor expansion of n in n
18.578 * [backup-simplify]: Simplify 0 into 0
18.578 * [backup-simplify]: Simplify 1 into 1
18.579 * [backup-simplify]: Simplify (log 1) into 0
18.579 * [taylor]: Taking taylor expansion of (log i) in n
18.579 * [taylor]: Taking taylor expansion of i in n
18.579 * [backup-simplify]: Simplify i into i
18.579 * [backup-simplify]: Simplify (log i) into (log i)
18.579 * [taylor]: Taking taylor expansion of n in n
18.579 * [backup-simplify]: Simplify 0 into 0
18.579 * [backup-simplify]: Simplify 1 into 1
18.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.579 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.579 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.579 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.579 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.579 * [taylor]: Taking taylor expansion of (pow n 6) in n
18.579 * [taylor]: Taking taylor expansion of n in n
18.579 * [backup-simplify]: Simplify 0 into 0
18.579 * [backup-simplify]: Simplify 1 into 1
18.580 * [backup-simplify]: Simplify (* 1 1) into 1
18.580 * [backup-simplify]: Simplify (* 1 1) into 1
18.580 * [backup-simplify]: Simplify (* 1 1) into 1
18.580 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.580 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
18.580 * [taylor]: Taking taylor expansion of 50 in n
18.580 * [backup-simplify]: Simplify 50 into 50
18.580 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
18.580 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
18.580 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.580 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.580 * [taylor]: Taking taylor expansion of (log n) in n
18.580 * [taylor]: Taking taylor expansion of n in n
18.580 * [backup-simplify]: Simplify 0 into 0
18.580 * [backup-simplify]: Simplify 1 into 1
18.581 * [backup-simplify]: Simplify (log 1) into 0
18.581 * [taylor]: Taking taylor expansion of (log i) in n
18.581 * [taylor]: Taking taylor expansion of i in n
18.581 * [backup-simplify]: Simplify i into i
18.581 * [backup-simplify]: Simplify (log i) into (log i)
18.581 * [taylor]: Taking taylor expansion of n in n
18.581 * [backup-simplify]: Simplify 0 into 0
18.581 * [backup-simplify]: Simplify 1 into 1
18.581 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.581 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.581 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.581 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.581 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
18.581 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.581 * [taylor]: Taking taylor expansion of n in n
18.581 * [backup-simplify]: Simplify 0 into 0
18.581 * [backup-simplify]: Simplify 1 into 1
18.582 * [backup-simplify]: Simplify (* 1 1) into 1
18.582 * [backup-simplify]: Simplify (* 1 1) into 1
18.582 * [backup-simplify]: Simplify (* 1 1) into 1
18.582 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
18.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.597 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
18.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.621 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0
18.621 * [backup-simplify]: Simplify (+ 0 0) into 0
18.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
18.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.637 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
18.638 * [backup-simplify]: Simplify (- 0) into 0
18.638 * [backup-simplify]: Simplify (+ 0 0) into 0
18.638 * [backup-simplify]: Simplify 0 into 0
18.638 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) into (* 100 (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1))
18.638 * [backup-simplify]: Simplify (* 100 (expm1 (* (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))))) into (* 100 (expm1 (* -1 (/ (log1p (/ n i)) n))))
18.638 * [approximate]: Taking taylor expansion of (* 100 (expm1 (* -1 (/ (log1p (/ n i)) n)))) in (i n) around 0
18.638 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* -1 (/ (log1p (/ n i)) n)))) in n
18.638 * [taylor]: Taking taylor expansion of 100 in n
18.638 * [backup-simplify]: Simplify 100 into 100
18.638 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in n
18.639 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.639 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n
18.639 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n
18.639 * [taylor]: Taking taylor expansion of -1 in n
18.639 * [backup-simplify]: Simplify -1 into -1
18.639 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n
18.639 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n
18.639 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.639 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n
18.639 * [taylor]: Taking taylor expansion of 1 in n
18.639 * [backup-simplify]: Simplify 1 into 1
18.639 * [taylor]: Taking taylor expansion of (/ n i) in n
18.639 * [taylor]: Taking taylor expansion of n in n
18.639 * [backup-simplify]: Simplify 0 into 0
18.639 * [backup-simplify]: Simplify 1 into 1
18.639 * [taylor]: Taking taylor expansion of i in n
18.639 * [backup-simplify]: Simplify i into i
18.639 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
18.639 * [backup-simplify]: Simplify (+ 1 0) into 1
18.639 * [backup-simplify]: Simplify (log 1) into 0
18.639 * [taylor]: Taking taylor expansion of n in n
18.639 * [backup-simplify]: Simplify 0 into 0
18.639 * [backup-simplify]: Simplify 1 into 1
18.640 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i)
18.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
18.640 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i)
18.640 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i)
18.640 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i))
18.640 * [taylor]: Taking taylor expansion of 1 in n
18.640 * [backup-simplify]: Simplify 1 into 1
18.640 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
18.640 * [taylor]: Taking taylor expansion of 100 in i
18.640 * [backup-simplify]: Simplify 100 into 100
18.640 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
18.640 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.640 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
18.640 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.640 * [taylor]: Taking taylor expansion of -1 in i
18.640 * [backup-simplify]: Simplify -1 into -1
18.640 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.640 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.640 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.640 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.640 * [taylor]: Taking taylor expansion of 1 in i
18.640 * [backup-simplify]: Simplify 1 into 1
18.640 * [taylor]: Taking taylor expansion of (/ n i) in i
18.640 * [taylor]: Taking taylor expansion of n in i
18.640 * [backup-simplify]: Simplify n into n
18.641 * [taylor]: Taking taylor expansion of i in i
18.641 * [backup-simplify]: Simplify 0 into 0
18.641 * [backup-simplify]: Simplify 1 into 1
18.641 * [backup-simplify]: Simplify (/ n 1) into n
18.641 * [backup-simplify]: Simplify (+ 0 n) into n
18.641 * [backup-simplify]: Simplify (log n) into (log n)
18.641 * [taylor]: Taking taylor expansion of n in i
18.641 * [backup-simplify]: Simplify n into n
18.641 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.641 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.641 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.641 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
18.641 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.642 * [taylor]: Taking taylor expansion of 1 in i
18.642 * [backup-simplify]: Simplify 1 into 1
18.642 * [taylor]: Taking taylor expansion of (* 100 (expm1 (* -1 (/ (log1p (/ n i)) n)))) in i
18.642 * [taylor]: Taking taylor expansion of 100 in i
18.642 * [backup-simplify]: Simplify 100 into 100
18.642 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (log1p (/ n i)) n))) in i
18.642 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)
18.642 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i
18.642 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i
18.642 * [taylor]: Taking taylor expansion of -1 in i
18.642 * [backup-simplify]: Simplify -1 into -1
18.642 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i
18.642 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i
18.642 * [taylor]: Rewrote expression to (log (+ 1 (/ n i)))
18.642 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i
18.642 * [taylor]: Taking taylor expansion of 1 in i
18.642 * [backup-simplify]: Simplify 1 into 1
18.642 * [taylor]: Taking taylor expansion of (/ n i) in i
18.642 * [taylor]: Taking taylor expansion of n in i
18.642 * [backup-simplify]: Simplify n into n
18.642 * [taylor]: Taking taylor expansion of i in i
18.642 * [backup-simplify]: Simplify 0 into 0
18.642 * [backup-simplify]: Simplify 1 into 1
18.642 * [backup-simplify]: Simplify (/ n 1) into n
18.642 * [backup-simplify]: Simplify (+ 0 n) into n
18.642 * [backup-simplify]: Simplify (log n) into (log n)
18.642 * [taylor]: Taking taylor expansion of n in i
18.642 * [backup-simplify]: Simplify n into n
18.643 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.643 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
18.643 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n)
18.643 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n))
18.643 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.643 * [taylor]: Taking taylor expansion of 1 in i
18.643 * [backup-simplify]: Simplify 1 into 1
18.644 * [backup-simplify]: Simplify (- 1) into -1
18.644 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.644 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
18.644 * [taylor]: Taking taylor expansion of (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) in n
18.644 * [taylor]: Taking taylor expansion of 100 in n
18.644 * [backup-simplify]: Simplify 100 into 100
18.644 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
18.644 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.644 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.645 * [taylor]: Taking taylor expansion of -1 in n
18.645 * [backup-simplify]: Simplify -1 into -1
18.645 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.645 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.645 * [taylor]: Taking taylor expansion of (log n) in n
18.645 * [taylor]: Taking taylor expansion of n in n
18.645 * [backup-simplify]: Simplify 0 into 0
18.645 * [backup-simplify]: Simplify 1 into 1
18.645 * [backup-simplify]: Simplify (log 1) into 0
18.645 * [taylor]: Taking taylor expansion of (log i) in n
18.645 * [taylor]: Taking taylor expansion of i in n
18.645 * [backup-simplify]: Simplify i into i
18.645 * [backup-simplify]: Simplify (log i) into (log i)
18.645 * [taylor]: Taking taylor expansion of n in n
18.645 * [backup-simplify]: Simplify 0 into 0
18.645 * [backup-simplify]: Simplify 1 into 1
18.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.646 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.646 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.646 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.646 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.646 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.646 * [taylor]: Taking taylor expansion of 1 in n
18.646 * [backup-simplify]: Simplify 1 into 1
18.647 * [backup-simplify]: Simplify (- 1) into -1
18.647 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
18.647 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
18.647 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
18.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
18.649 * [backup-simplify]: Simplify (+ 1 0) into 1
18.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
18.650 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2))
18.650 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2)))
18.650 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.651 * [backup-simplify]: Simplify (- 0) into 0
18.651 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
18.651 * [backup-simplify]: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))))
18.651 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) in n
18.651 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
18.651 * [taylor]: Taking taylor expansion of 100 in n
18.651 * [backup-simplify]: Simplify 100 into 100
18.651 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
18.651 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.651 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.651 * [taylor]: Taking taylor expansion of -1 in n
18.651 * [backup-simplify]: Simplify -1 into -1
18.651 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.651 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.651 * [taylor]: Taking taylor expansion of (log n) in n
18.651 * [taylor]: Taking taylor expansion of n in n
18.651 * [backup-simplify]: Simplify 0 into 0
18.651 * [backup-simplify]: Simplify 1 into 1
18.652 * [backup-simplify]: Simplify (log 1) into 0
18.652 * [taylor]: Taking taylor expansion of (log i) in n
18.652 * [taylor]: Taking taylor expansion of i in n
18.652 * [backup-simplify]: Simplify i into i
18.652 * [backup-simplify]: Simplify (log i) into (log i)
18.652 * [taylor]: Taking taylor expansion of n in n
18.652 * [backup-simplify]: Simplify 0 into 0
18.652 * [backup-simplify]: Simplify 1 into 1
18.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.652 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.652 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.652 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.652 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.652 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.652 * [taylor]: Taking taylor expansion of (pow n 2) in n
18.652 * [taylor]: Taking taylor expansion of n in n
18.652 * [backup-simplify]: Simplify 0 into 0
18.652 * [backup-simplify]: Simplify 1 into 1
18.653 * [backup-simplify]: Simplify (* 1 1) into 1
18.653 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.656 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
18.656 * [backup-simplify]: Simplify (- 0) into 0
18.656 * [backup-simplify]: Simplify 0 into 0
18.657 * [backup-simplify]: Simplify (- 0) into 0
18.657 * [backup-simplify]: Simplify (+ 0 0) into 0
18.657 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
18.657 * [backup-simplify]: Simplify 0 into 0
18.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.659 * [backup-simplify]: Simplify (+ 0 0) into 0
18.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2))
18.660 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow n 2)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)))) into (- (* 1/2 (/ 1 (pow n 3))))
18.660 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n)))) into (* 1/2 (/ 1 (pow n 3)))
18.661 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))))
18.661 * [backup-simplify]: Simplify (- 0) into 0
18.661 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
18.662 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
18.662 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
18.662 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
18.662 * [taylor]: Taking taylor expansion of 50 in n
18.662 * [backup-simplify]: Simplify 50 into 50
18.662 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
18.662 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.662 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.662 * [taylor]: Taking taylor expansion of -1 in n
18.662 * [backup-simplify]: Simplify -1 into -1
18.663 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.663 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.663 * [taylor]: Taking taylor expansion of (log n) in n
18.663 * [taylor]: Taking taylor expansion of n in n
18.663 * [backup-simplify]: Simplify 0 into 0
18.663 * [backup-simplify]: Simplify 1 into 1
18.663 * [backup-simplify]: Simplify (log 1) into 0
18.663 * [taylor]: Taking taylor expansion of (log i) in n
18.663 * [taylor]: Taking taylor expansion of i in n
18.663 * [backup-simplify]: Simplify i into i
18.663 * [backup-simplify]: Simplify (log i) into (log i)
18.663 * [taylor]: Taking taylor expansion of n in n
18.663 * [backup-simplify]: Simplify 0 into 0
18.663 * [backup-simplify]: Simplify 1 into 1
18.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.663 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.663 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.663 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.663 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.664 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.664 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.664 * [taylor]: Taking taylor expansion of n in n
18.664 * [backup-simplify]: Simplify 0 into 0
18.664 * [backup-simplify]: Simplify 1 into 1
18.664 * [backup-simplify]: Simplify (* 1 1) into 1
18.664 * [backup-simplify]: Simplify (* 1 1) into 1
18.664 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.664 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
18.664 * [taylor]: Taking taylor expansion of 50 in n
18.664 * [backup-simplify]: Simplify 50 into 50
18.664 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
18.664 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.664 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.664 * [taylor]: Taking taylor expansion of -1 in n
18.664 * [backup-simplify]: Simplify -1 into -1
18.664 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.664 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.664 * [taylor]: Taking taylor expansion of (log n) in n
18.664 * [taylor]: Taking taylor expansion of n in n
18.664 * [backup-simplify]: Simplify 0 into 0
18.664 * [backup-simplify]: Simplify 1 into 1
18.665 * [backup-simplify]: Simplify (log 1) into 0
18.665 * [taylor]: Taking taylor expansion of (log i) in n
18.665 * [taylor]: Taking taylor expansion of i in n
18.665 * [backup-simplify]: Simplify i into i
18.665 * [backup-simplify]: Simplify (log i) into (log i)
18.665 * [taylor]: Taking taylor expansion of n in n
18.665 * [backup-simplify]: Simplify 0 into 0
18.665 * [backup-simplify]: Simplify 1 into 1
18.665 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.665 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.665 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.665 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.665 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.665 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.665 * [taylor]: Taking taylor expansion of (pow n 3) in n
18.665 * [taylor]: Taking taylor expansion of n in n
18.665 * [backup-simplify]: Simplify 0 into 0
18.666 * [backup-simplify]: Simplify 1 into 1
18.666 * [backup-simplify]: Simplify (* 1 1) into 1
18.666 * [backup-simplify]: Simplify (* 1 1) into 1
18.666 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.676 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
18.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.683 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
18.683 * [backup-simplify]: Simplify (+ 0 0) into 0
18.683 * [backup-simplify]: Simplify 0 into 0
18.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.688 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
18.688 * [backup-simplify]: Simplify (- 0) into 0
18.688 * [backup-simplify]: Simplify 0 into 0
18.693 * [backup-simplify]: Simplify (- 0) into 0
18.694 * [backup-simplify]: Simplify (+ 0 0) into 0
18.695 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
18.695 * [backup-simplify]: Simplify 0 into 0
18.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.697 * [backup-simplify]: Simplify (+ 0 0) into 0
18.700 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3))
18.701 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow n 3)) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 0 n)) (* (- (* 1/2 (/ 1 (pow n 3)))) (/ 0 n)))) into (* 1/3 (/ 1 (pow n 4)))
18.701 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow n 4)))) (+ (* 0 (- (* 1/2 (/ 1 (pow n 3))))) (+ (* 0 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))))) into (- (* 1/3 (/ 1 (pow n 4))))
18.702 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))))
18.703 * [backup-simplify]: Simplify (- 0) into 0
18.704 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
18.706 * [backup-simplify]: Simplify (+ (* 100 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (- (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))
18.706 * [taylor]: Taking taylor expansion of (- (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) in n
18.706 * [taylor]: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) in n
18.706 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
18.706 * [taylor]: Taking taylor expansion of 50 in n
18.706 * [backup-simplify]: Simplify 50 into 50
18.706 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
18.706 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.706 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.706 * [taylor]: Taking taylor expansion of -1 in n
18.706 * [backup-simplify]: Simplify -1 into -1
18.706 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.706 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.706 * [taylor]: Taking taylor expansion of (log n) in n
18.706 * [taylor]: Taking taylor expansion of n in n
18.706 * [backup-simplify]: Simplify 0 into 0
18.707 * [backup-simplify]: Simplify 1 into 1
18.707 * [backup-simplify]: Simplify (log 1) into 0
18.707 * [taylor]: Taking taylor expansion of (log i) in n
18.707 * [taylor]: Taking taylor expansion of i in n
18.707 * [backup-simplify]: Simplify i into i
18.707 * [backup-simplify]: Simplify (log i) into (log i)
18.707 * [taylor]: Taking taylor expansion of n in n
18.707 * [backup-simplify]: Simplify 0 into 0
18.707 * [backup-simplify]: Simplify 1 into 1
18.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.708 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.708 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.708 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.708 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.708 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.708 * [taylor]: Taking taylor expansion of (pow n 5) in n
18.708 * [taylor]: Taking taylor expansion of n in n
18.708 * [backup-simplify]: Simplify 0 into 0
18.708 * [backup-simplify]: Simplify 1 into 1
18.709 * [backup-simplify]: Simplify (* 1 1) into 1
18.709 * [backup-simplify]: Simplify (* 1 1) into 1
18.709 * [backup-simplify]: Simplify (* 1 1) into 1
18.710 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.710 * [taylor]: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n
18.710 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
18.710 * [taylor]: Taking taylor expansion of 50/3 in n
18.710 * [backup-simplify]: Simplify 50/3 into 50/3
18.710 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
18.710 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.710 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.710 * [taylor]: Taking taylor expansion of -1 in n
18.710 * [backup-simplify]: Simplify -1 into -1
18.710 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.710 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.710 * [taylor]: Taking taylor expansion of (log n) in n
18.710 * [taylor]: Taking taylor expansion of n in n
18.710 * [backup-simplify]: Simplify 0 into 0
18.710 * [backup-simplify]: Simplify 1 into 1
18.710 * [backup-simplify]: Simplify (log 1) into 0
18.711 * [taylor]: Taking taylor expansion of (log i) in n
18.711 * [taylor]: Taking taylor expansion of i in n
18.711 * [backup-simplify]: Simplify i into i
18.711 * [backup-simplify]: Simplify (log i) into (log i)
18.711 * [taylor]: Taking taylor expansion of n in n
18.711 * [backup-simplify]: Simplify 0 into 0
18.711 * [backup-simplify]: Simplify 1 into 1
18.711 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.711 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.711 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.711 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.712 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.712 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.712 * [taylor]: Taking taylor expansion of (pow n 6) in n
18.712 * [taylor]: Taking taylor expansion of n in n
18.712 * [backup-simplify]: Simplify 0 into 0
18.712 * [backup-simplify]: Simplify 1 into 1
18.713 * [backup-simplify]: Simplify (* 1 1) into 1
18.713 * [backup-simplify]: Simplify (* 1 1) into 1
18.713 * [backup-simplify]: Simplify (* 1 1) into 1
18.714 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.714 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
18.714 * [taylor]: Taking taylor expansion of 100/3 in n
18.714 * [backup-simplify]: Simplify 100/3 into 100/3
18.714 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
18.714 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
18.714 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
18.714 * [taylor]: Taking taylor expansion of -1 in n
18.714 * [backup-simplify]: Simplify -1 into -1
18.714 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
18.714 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
18.714 * [taylor]: Taking taylor expansion of (log n) in n
18.714 * [taylor]: Taking taylor expansion of n in n
18.714 * [backup-simplify]: Simplify 0 into 0
18.714 * [backup-simplify]: Simplify 1 into 1
18.714 * [backup-simplify]: Simplify (log 1) into 0
18.714 * [taylor]: Taking taylor expansion of (log i) in n
18.714 * [taylor]: Taking taylor expansion of i in n
18.714 * [backup-simplify]: Simplify i into i
18.714 * [backup-simplify]: Simplify (log i) into (log i)
18.714 * [taylor]: Taking taylor expansion of n in n
18.714 * [backup-simplify]: Simplify 0 into 0
18.714 * [backup-simplify]: Simplify 1 into 1
18.715 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
18.715 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
18.715 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
18.715 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
18.715 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
18.715 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.715 * [taylor]: Taking taylor expansion of (pow n 4) in n
18.715 * [taylor]: Taking taylor expansion of n in n
18.715 * [backup-simplify]: Simplify 0 into 0
18.715 * [backup-simplify]: Simplify 1 into 1
18.716 * [backup-simplify]: Simplify (* 1 1) into 1
18.716 * [backup-simplify]: Simplify (* 1 1) into 1
18.716 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
18.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.733 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
18.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
18.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
18.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.755 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0
18.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
18.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
18.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.765 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
18.766 * [backup-simplify]: Simplify (+ 0 0) into 0
18.766 * [backup-simplify]: Simplify (+ 0 0) into 0
18.766 * [backup-simplify]: Simplify (- 0) into 0
18.766 * [backup-simplify]: Simplify 0 into 0
18.766 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) into (* 100 (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1))
18.766 * * * [progress]: simplifying candidates
18.767 * * * * [progress]: [ 1 / 115 ] simplifiying candidate #<alt (λ (i n) (log1p (expm1 (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.767 * * * * [progress]: [ 2 / 115 ] simplifiying candidate #<alt (λ (i n) (expm1 (log1p (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.767 * * * * [progress]: [ 3 / 115 ] simplifiying candidate #<alt (λ (i n) (pow (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) 1))>
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18.767 * * * * [progress]: [ 10 / 115 ] simplifiying candidate #<alt (λ (i n) (cbrt (/ (* (* (* 100 100) 100) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n)))) (/ (* (* i i) i) (* (* n n) n)))))>
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18.767 * * * * [progress]: [ 13 / 115 ] simplifiying candidate #<alt (λ (i n) (cbrt (/ (* (* (* 100 (expm1 (* (log1p (/ i n)) n))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* (* (/ i n) (/ i n)) (/ i n)))))>
18.767 * * * * [progress]: [ 14 / 115 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))) (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))) (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.767 * * * * [progress]: [ 15 / 115 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.767 * * * * [progress]: [ 16 / 115 ] simplifiying candidate #<alt (λ (i n) (* (sqrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))) (sqrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.767 * * * * [progress]: [ 17 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (- (* 100 (expm1 (* (log1p (/ i n)) n)))) (- (/ i n))))>
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18.767 * * * * [progress]: [ 24 / 115 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (sqrt i) (sqrt n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n)))))>
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18.768 * * * * [progress]: [ 27 / 115 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ 1 (sqrt n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ i (sqrt n)))))>
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18.768 * * * * [progress]: [ 33 / 115 ] simplifiying candidate #<alt (λ (i n) (/ 1 (/ (/ i n) (* 100 (expm1 (* (log1p (/ i n)) n))))))>
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18.768 * * * * [progress]: [ 35 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (sqrt (/ i n))))>
18.768 * * * * [progress]: [ 36 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (cbrt i) (cbrt n))))>
18.768 * * * * [progress]: [ 37 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (cbrt i) (sqrt n))))>
18.768 * * * * [progress]: [ 38 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) 1)) (/ (cbrt i) n)))>
18.768 * * * * [progress]: [ 39 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt i) (cbrt n))))>
18.768 * * * * [progress]: [ 40 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n))) (/ (sqrt i) (sqrt n))))>
18.768 * * * * [progress]: [ 41 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1)) (/ (sqrt i) n)))>
18.768 * * * * [progress]: [ 42 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n)))) (/ i (cbrt n))))>
18.768 * * * * [progress]: [ 43 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n))) (/ i (sqrt n))))>
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18.768 * * * * [progress]: [ 49 / 115 ] simplifiying candidate #<alt (λ (i n) (posit16->real (real->posit16 (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))))>
18.768 * * * * [progress]: [ 50 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (log1p (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.768 * * * * [progress]: [ 51 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (expm1 (log1p (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 52 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (pow (* (log1p (/ i n)) n) 1))) (/ i n)))>
18.769 * * * * [progress]: [ 53 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (pow (* (log1p (/ i n)) n) 1))) (/ i n)))>
18.769 * * * * [progress]: [ 54 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (exp (+ (log (log1p (/ i n))) (log n))))) (/ i n)))>
18.769 * * * * [progress]: [ 55 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (exp (log (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 56 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (log (exp (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 57 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (cbrt (* (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n))) (* (* n n) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 58 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (cbrt (* (log1p (/ i n)) n)) (cbrt (* (log1p (/ i n)) n))) (cbrt (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 59 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (cbrt (* (* (* (log1p (/ i n)) n) (* (log1p (/ i n)) n)) (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 60 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (sqrt (* (log1p (/ i n)) n)) (sqrt (* (log1p (/ i n)) n))))) (/ i n)))>
18.769 * * * * [progress]: [ 61 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* 1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.769 * * * * [progress]: [ 62 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (sqrt (log1p (/ i n))) (sqrt n)) (* (sqrt (log1p (/ i n))) (sqrt n))))) (/ i n)))>
18.769 * * * * [progress]: [ 63 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (log1p (/ i n)) (* (cbrt n) (cbrt n))) (cbrt n)))) (/ i n)))>
18.769 * * * * [progress]: [ 64 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n)))) (/ i n)))>
18.769 * * * * [progress]: [ 65 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (log1p (/ i n)) 1) n))) (/ i n)))>
18.769 * * * * [progress]: [ 66 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n)))) (* (cbrt (log1p (/ i n))) n)))) (/ i n)))>
18.769 * * * * [progress]: [ 67 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (sqrt (log1p (/ i n))) (* (sqrt (log1p (/ i n))) n)))) (/ i n)))>
18.769 * * * * [progress]: [ 68 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* 1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.769 * * * * [progress]: [ 69 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (posit16->real (real->posit16 (* (log1p (/ i n)) n))))) (/ i n)))>
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18.769 * * * * [progress]: [ 75 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (pow (log1p (/ i n)) 1) n))) (/ i n)))>
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18.769 * * * * [progress]: [ 77 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (log (exp (log1p (/ i n)))) n))) (/ i n)))>
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18.770 * * * * [progress]: [ 79 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (cbrt (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n)))) n))) (/ i n)))>
18.770 * * * * [progress]: [ 80 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* (sqrt (log1p (/ i n))) (sqrt (log1p (/ i n)))) n))) (/ i n)))>
18.770 * * * * [progress]: [ 81 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (* 1 (log1p (/ i n))) n))) (/ i n)))>
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18.770 * * * * [progress]: [ 83 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (log1p (expm1 (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 84 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (expm1 (log1p (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 85 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (pow (* 100 (expm1 (* (log1p (/ i n)) n))) 1) (/ i n)))>
18.770 * * * * [progress]: [ 86 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (pow (* 100 (expm1 (* (log1p (/ i n)) n))) 1) (/ i n)))>
18.770 * * * * [progress]: [ 87 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (exp (+ (log 100) (log (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 88 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (exp (log (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 89 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (log (exp (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 90 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (cbrt (* (* (* 100 100) 100) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 91 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (* (cbrt (* 100 (expm1 (* (log1p (/ i n)) n)))) (cbrt (* 100 (expm1 (* (log1p (/ i n)) n))))) (cbrt (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 92 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (cbrt (* (* (* 100 (expm1 (* (log1p (/ i n)) n))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 93 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (sqrt (* 100 (expm1 (* (log1p (/ i n)) n)))) (sqrt (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 94 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 1 (* 100 (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
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18.770 * * * * [progress]: [ 96 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (* 100 (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n))))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.770 * * * * [progress]: [ 97 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (* 100 (sqrt (expm1 (* (log1p (/ i n)) n)))) (sqrt (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.770 * * * * [progress]: [ 98 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (* 100 1) (expm1 (* (log1p (/ i n)) n))) (/ i n)))>
18.770 * * * * [progress]: [ 99 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (* (cbrt 100) (cbrt 100)) (* (cbrt 100) (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.770 * * * * [progress]: [ 100 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (sqrt 100) (* (sqrt 100) (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.770 * * * * [progress]: [ 101 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 1 (* 100 (expm1 (* (log1p (/ i n)) n)))) (/ i n)))>
18.770 * * * * [progress]: [ 102 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (posit16->real (real->posit16 (* 100 (expm1 (* (log1p (/ i n)) n))))) (/ i n)))>
18.770 * * * * [progress]: [ 103 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* (expm1 (* (log1p (/ i n)) n)) 100) (/ i n)))>
18.770 * * * * [progress]: [ 104 / 115 ] simplifiying candidate #<alt (λ (i n) 0)>
18.770 * * * * [progress]: [ 105 / 115 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
18.770 * * * * [progress]: [ 106 / 115 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
18.771 * * * * [progress]: [ 107 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 i)) (/ i n)))>
18.771 * * * * [progress]: [ 108 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 0)) (/ i n)))>
18.771 * * * * [progress]: [ 109 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 0)) (/ i n)))>
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18.771 * * * * [progress]: [ 112 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n))) (/ i n)))>
18.771 * * * * [progress]: [ 113 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (+ (* 100 i) (+ (* 50 (pow i 2)) (* 50/3 (pow i 3)))) (/ i n)))>
18.771 * * * * [progress]: [ 114 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)) (/ i n)))>
18.771 * * * * [progress]: [ 115 / 115 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) (/ i n)))>
18.772 * [simplify]: Simplifying:
  (expm1 (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (log1p (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (- (+ (log 100) (log (expm1 (* (log1p (/ i n)) n)))) (- (log i) (log n)))
  (- (+ (log 100) (log (expm1 (* (log1p (/ i n)) n)))) (log (/ i n)))
  (- (log (* 100 (expm1 (* (log1p (/ i n)) n)))) (- (log i) (log n)))
  (- (log (* 100 (expm1 (* (log1p (/ i n)) n)))) (log (/ i n)))
  (log (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (exp (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (/ (* (* (* 100 100) 100) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n)))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (* 100 100) 100) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n)))) (* (* (/ i n) (/ i n)) (/ i n)))
  (/ (* (* (* 100 (expm1 (* (log1p (/ i n)) n))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (* 100 (expm1 (* (log1p (/ i n)) n))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* (* (/ i n) (/ i n)) (/ i n)))
  (* (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))) (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))))
  (cbrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (* (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n))) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (sqrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (sqrt (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (- (* 100 (expm1 (* (log1p (/ i n)) n))))
  (- (/ i n))
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))
  (/ 100 (sqrt (/ i n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (cbrt n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (sqrt n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) n))
  (/ 100 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (cbrt n)))
  (/ 100 (/ (sqrt i) (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ 100 (/ (sqrt i) 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) n))
  (/ 100 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i (cbrt n)))
  (/ 100 (/ 1 (sqrt n)))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i (sqrt n)))
  (/ 100 (/ 1 1))
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  (/ 100 1)
  (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))
  (/ 100 i)
  (/ (expm1 (* (log1p (/ i n)) n)) (/ 1 n))
  (/ 1 (/ i n))
  (/ (/ i n) (* 100 (expm1 (* (log1p (/ i n)) n))))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ (sqrt i) 1))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 (sqrt n)))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ 1 1))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) 1)
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i)
  (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))
  (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i)
  (real->posit16 (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))
  (expm1 (* (log1p (/ i n)) n))
  (log1p (* (log1p (/ i n)) n))
  (* (log1p (/ i n)) n)
  (+ (log (log1p (/ i n))) (log n))
  (log (* (log1p (/ i n)) n))
  (exp (* (log1p (/ i n)) n))
  (* (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n))) (* (* n n) n))
  (* (cbrt (* (log1p (/ i n)) n)) (cbrt (* (log1p (/ i n)) n)))
  (cbrt (* (log1p (/ i n)) n))
  (* (* (* (log1p (/ i n)) n) (* (log1p (/ i n)) n)) (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (sqrt (* (log1p (/ i n)) n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (log1p (/ i n)) (* (cbrt n) (cbrt n)))
  (* (log1p (/ i n)) (sqrt n))
  (* (log1p (/ i n)) 1)
  (* (cbrt (log1p (/ i n))) n)
  (* (sqrt (log1p (/ i n))) n)
  (* (log1p (/ i n)) n)
  (real->posit16 (* (log1p (/ i n)) n))
  (+ 1 (/ i n))
  (expm1 (log1p (/ i n)))
  (log1p (log1p (/ i n)))
  (log (log1p (/ i n)))
  (exp (log1p (/ i n)))
  (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))
  (cbrt (log1p (/ i n)))
  (* (* (log1p (/ i n)) (log1p (/ i n))) (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (real->posit16 (log1p (/ i n)))
  (expm1 (* 100 (expm1 (* (log1p (/ i n)) n))))
  (log1p (* 100 (expm1 (* (log1p (/ i n)) n))))
  (* 100 (expm1 (* (log1p (/ i n)) n)))
  (+ (log 100) (log (expm1 (* (log1p (/ i n)) n))))
  (log (* 100 (expm1 (* (log1p (/ i n)) n))))
  (exp (* 100 (expm1 (* (log1p (/ i n)) n))))
  (* (* (* 100 100) 100) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))))
  (* (cbrt (* 100 (expm1 (* (log1p (/ i n)) n)))) (cbrt (* 100 (expm1 (* (log1p (/ i n)) n)))))
  (cbrt (* 100 (expm1 (* (log1p (/ i n)) n))))
  (* (* (* 100 (expm1 (* (log1p (/ i n)) n))) (* 100 (expm1 (* (log1p (/ i n)) n)))) (* 100 (expm1 (* (log1p (/ i n)) n))))
  (sqrt (* 100 (expm1 (* (log1p (/ i n)) n))))
  (sqrt (* 100 (expm1 (* (log1p (/ i n)) n))))
  (* (sqrt 100) (sqrt (expm1 (* (log1p (/ i n)) n))))
  (* (sqrt 100) (sqrt (expm1 (* (log1p (/ i n)) n))))
  (* 100 (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))))
  (* 100 (sqrt (expm1 (* (log1p (/ i n)) n))))
  (* 100 1)
  (* (cbrt 100) (expm1 (* (log1p (/ i n)) n)))
  (* (sqrt 100) (expm1 (* (log1p (/ i n)) n)))
  (* 100 (expm1 (* (log1p (/ i n)) n)))
  (real->posit16 (* 100 (expm1 (* (log1p (/ i n)) n))))
  0
  (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i))
  (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i))
  i
  0
  0
  0
  (- (log (/ 1 n)) (log (/ 1 i)))
  (- (log (/ -1 n)) (log (/ -1 i)))
  (+ (* 100 i) (+ (* 50 (pow i 2)) (* 50/3 (pow i 3))))
  (* 100 (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1))
  (* 100 (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1))
18.774 * * [simplify]: iteration 0: 201 enodes
18.857 * * [simplify]: iteration 1: 487 enodes
18.991 * * [simplify]: iteration 2: 1652 enodes
19.387 * * [simplify]: iteration complete: 5006 enodes
19.387 * * [simplify]: Extracting #0: cost 102 inf + 0
19.389 * * [simplify]: Extracting #1: cost 952 inf + 3
19.394 * * [simplify]: Extracting #2: cost 1864 inf + 5664
19.405 * * [simplify]: Extracting #3: cost 2018 inf + 42193
19.434 * * [simplify]: Extracting #4: cost 1516 inf + 165829
19.512 * * [simplify]: Extracting #5: cost 271 inf + 627144
19.621 * * [simplify]: Extracting #6: cost 1 inf + 742166
19.729 * * [simplify]: Extracting #7: cost 0 inf + 742728
19.836 * [simplify]: Simplified to:
  (expm1 (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log1p (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (log (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (exp (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (/ 1000000 (* (/ (/ i n) (expm1 (* n (log1p (/ i n))))) (* (/ (/ i n) (expm1 (* n (log1p (/ i n))))) (/ (/ i n) (expm1 (* n (log1p (/ i n))))))))
  (/ 1000000 (* (/ (/ i n) (expm1 (* n (log1p (/ i n))))) (* (/ (/ i n) (expm1 (* n (log1p (/ i n))))) (/ (/ i n) (expm1 (* n (log1p (/ i n))))))))
  (* (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) (* (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n))))
  (* (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) (* (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n))))
  (* (cbrt (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n))) (cbrt (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n))))
  (cbrt (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (* (* (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)) (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n))) (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (sqrt (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (sqrt (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (* -100 (expm1 (* n (log1p (/ i n)))))
  (/ (- i) n)
  (/ (/ 100 (cbrt (/ i n))) (cbrt (/ i n)))
  (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n)))
  (/ 100 (sqrt (/ i n)))
  (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n)))
  (/ (/ 100 (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (/ (expm1 (* n (log1p (/ i n)))) (/ (cbrt i) (cbrt n)))
  (* (sqrt n) (/ (/ 100 (cbrt i)) (cbrt i)))
  (/ (* (expm1 (* n (log1p (/ i n)))) (sqrt n)) (cbrt i))
  (/ (/ 100 (cbrt i)) (cbrt i))
  (/ (expm1 (* n (log1p (/ i n)))) (/ (cbrt i) n))
  (/ (* (* 100 (cbrt n)) (cbrt n)) (sqrt i))
  (* (/ (expm1 (* n (log1p (/ i n)))) (sqrt i)) (cbrt n))
  (* (sqrt n) (/ 100 (sqrt i)))
  (/ (* (expm1 (* n (log1p (/ i n)))) (sqrt n)) (sqrt i))
  (/ 100 (sqrt i))
  (/ (expm1 (* n (log1p (/ i n)))) (/ (sqrt i) n))
  (* (* 100 (cbrt n)) (cbrt n))
  (/ (expm1 (* n (log1p (/ i n)))) (/ i (cbrt n)))
  (* 100 (sqrt n))
  (/ (expm1 (* n (log1p (/ i n)))) (/ i (sqrt n)))
  100
  (/ (expm1 (* n (log1p (/ i n)))) (/ i n))
  100
  (/ (expm1 (* n (log1p (/ i n)))) (/ i n))
  (/ 100 i)
  (* (expm1 (* n (log1p (/ i n)))) n)
  (/ n i)
  (/ (/ (/ i n) 100) (expm1 (* n (log1p (/ i n)))))
  (* (/ 100 (cbrt (/ i n))) (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n))))
  (* (/ 100 (sqrt (/ i n))) (expm1 (* n (log1p (/ i n)))))
  (/ (* (expm1 (* n (log1p (/ i n)))) 100) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (sqrt n) (cbrt i)) (/ (* (expm1 (* n (log1p (/ i n)))) 100) (cbrt i)))
  (* (/ (expm1 (* n (log1p (/ i n)))) (cbrt i)) (/ 100 (cbrt i)))
  (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ 100 (/ (sqrt i) (* (expm1 (* n (log1p (/ i n)))) (sqrt n))))
  (/ (* (expm1 (* n (log1p (/ i n)))) 100) (sqrt i))
  (* (* (cbrt n) (cbrt n)) (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (sqrt n) (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (/ (* (expm1 (* n (log1p (/ i n)))) 100) i)
  (/ (/ i n) (expm1 (* n (log1p (/ i n)))))
  (/ (* (expm1 (* n (log1p (/ i n)))) 100) i)
  (real->posit16 (/ (* (expm1 (* n (log1p (/ i n)))) 100) (/ i n)))
  (expm1 (* n (log1p (/ i n))))
  (log1p (* n (log1p (/ i n))))
  (* n (log1p (/ i n)))
  (log (* n (log1p (/ i n))))
  (log (* n (log1p (/ i n))))
  (exp (* n (log1p (/ i n))))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* n (log1p (/ i n))))
  (* (cbrt (* n (log1p (/ i n)))) (cbrt (* n (log1p (/ i n)))))
  (cbrt (* n (log1p (/ i n))))
  (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (* n (log1p (/ i n))))
  (sqrt (* n (log1p (/ i n))))
  (sqrt (* n (log1p (/ i n))))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (sqrt (log1p (/ i n))) (sqrt n))
  (* (* (cbrt n) (cbrt n)) (log1p (/ i n)))
  (* (sqrt n) (log1p (/ i n)))
  (log1p (/ i n))
  (* n (cbrt (log1p (/ i n))))
  (* (sqrt (log1p (/ i n))) n)
  (* n (log1p (/ i n)))
  (real->posit16 (* n (log1p (/ i n))))
  (+ (/ i n) 1)
  (/ i n)
  (log1p (log1p (/ i n)))
  (log (log1p (/ i n)))
  (exp (log1p (/ i n)))
  (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))
  (cbrt (log1p (/ i n)))
  (* (log1p (/ i n)) (* (log1p (/ i n)) (log1p (/ i n))))
  (sqrt (log1p (/ i n)))
  (sqrt (log1p (/ i n)))
  (real->posit16 (log1p (/ i n)))
  (expm1 (* (expm1 (* n (log1p (/ i n)))) 100))
  (log1p (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (log (* (expm1 (* n (log1p (/ i n)))) 100))
  (log (* (expm1 (* n (log1p (/ i n)))) 100))
  (exp (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)
  (* (cbrt (* (expm1 (* n (log1p (/ i n)))) 100)) (cbrt (* (expm1 (* n (log1p (/ i n)))) 100)))
  (cbrt (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (* (* 100 (* (expm1 (* n (log1p (/ i n)))) 100)) (* (expm1 (* n (log1p (/ i n)))) 100)) (expm1 (* n (log1p (/ i n)))))
  (sqrt (* (expm1 (* n (log1p (/ i n)))) 100))
  (sqrt (* (expm1 (* n (log1p (/ i n)))) 100))
  (* (sqrt (expm1 (* n (log1p (/ i n))))) 10)
  (* (sqrt (expm1 (* n (log1p (/ i n))))) 10)
  (* (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 100)
  (* 100 (sqrt (expm1 (* n (log1p (/ i n))))))
  100
  (* (expm1 (* n (log1p (/ i n)))) (cbrt 100))
  (* 10 (expm1 (* n (log1p (/ i n)))))
  (* (expm1 (* n (log1p (/ i n)))) 100)
  (real->posit16 (* (expm1 (* n (log1p (/ i n)))) 100))
  0
  (* 100 (/ (expm1 (* n (log (/ i n)))) (/ i n)))
  (* (/ (* n (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i)))))) i) 100)
  i
  0
  0
  0
  (log (/ i n))
  (- (log (/ -1 n)) (log (/ -1 i)))
  (fma 100 i (* (* i i) (+ 50 (* 50/3 i))))
  (* (expm1 (* n (log (/ i n)))) 100)
  (* 100 (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i))))))
19.842 * * * [progress]: adding candidates to table
20.257 * [progress]: [Phase 3 of 3] Extracting.
20.258 * * [regime]: Finding splitpoints for: (#<alt (λ (i n) (* 100 (cbrt (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))))> #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))> #<alt (λ (i n) (* 100 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i))) (/ (cbrt i) n))))> #<alt (λ (i n) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)))> #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))> #<alt (λ (i n) (* 100 (/ (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n))) (/ i n))))> #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))> #<alt (λ (i n) (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n))))))> #<alt (λ (i n) (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i) n))> #<alt (λ (i n) 0)>)
20.259 * * * [regime-changes]: Trying 2 branch expressions: (n i)
20.259 * * * * [regimes]: Trying to branch on n from (#<alt (λ (i n) (* 100 (cbrt (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))))> #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))> #<alt (λ (i n) (* 100 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i))) (/ (cbrt i) n))))> #<alt (λ (i n) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)))> #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))> #<alt (λ (i n) (* 100 (/ (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n))) (/ i n))))> #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))> #<alt (λ (i n) (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n))))))> #<alt (λ (i n) (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i) n))> #<alt (λ (i n) 0)>)
20.336 * * * * [regimes]: Trying to branch on i from (#<alt (λ (i n) (* 100 (cbrt (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))))> #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))> #<alt (λ (i n) (* 100 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i))) (/ (cbrt i) n))))> #<alt (λ (i n) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)))> #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))> #<alt (λ (i n) (* 100 (/ (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n))) (/ i n))))> #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))> #<alt (λ (i n) (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n))))))> #<alt (λ (i n) (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i) n))> #<alt (λ (i n) 0)>)
20.394 * * * [regime]: Found split indices: #<option (#s(si 1 70) #s(si 3 100) #s(si 4 122) #s(si 9 152) #s(si 7 255))>
20.395 * [binary-search]: Improving bounds with binary search for n and (#<alt (λ (i n) (* 100 (cbrt (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))))> #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))> #<alt (λ (i n) (* 100 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i))) (/ (cbrt i) n))))> #<alt (λ (i n) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)))> #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))> #<alt (λ (i n) (* 100 (/ (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n))) (/ i n))))> #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))> #<alt (λ (i n) (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n))))))> #<alt (λ (i n) (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i) n))> #<alt (λ (i n) 0)>)
20.727 * [regimes]: Found splitpoints: (#s(sp 1 n -0.8249084896539374) #s(sp 3 n -2.7004764031193593e-129) #s(sp 4 n -1.1007636657452675e-234) #s(sp 9 n 5.476973539989824e-182) #s(sp 7 n +nan.0)) , with alts (#<alt (λ (i n) (* 100 (cbrt (/ (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (/ i n) (/ i n)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))))> #<alt (λ (i n) (* 100 (/ (expm1 i) (/ i n))))> #<alt (λ (i n) (* 100 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt i) (cbrt i))) (/ (cbrt i) n))))> #<alt (λ (i n) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)))> #<alt (λ (i n) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)))> #<alt (λ (i n) (* 100 (/ (expm1 (* (* (log1p (/ i n)) (sqrt n)) (sqrt n))) (/ i n))))> #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))> #<alt (λ (i n) (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n))))))> #<alt (λ (i n) (* (/ (* 100 (expm1 (* (log1p (/ i n)) n))) i) n))> #<alt (λ (i n) 0)>)
20.727 * [simplify]: Simplifying:
  (if (<= n -0.8249084896539374) (* 100 (/ (expm1 i) (/ i n))) (if (<= n -2.7004764031193593e-129) (/ (cbrt (* (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) 1000000)) (/ i n)) (if (<= n -1.1007636657452675e-234) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) (if (<= n 5.476973539989824e-182) 0 (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))))))))
20.728 * * [simplify]: iteration 0: 37 enodes
20.729 * * [simplify]: iteration 1: 43 enodes
20.730 * * [simplify]: iteration complete: 43 enodes
20.730 * * [simplify]: Extracting #0: cost 1 inf + 0
20.730 * * [simplify]: Extracting #1: cost 4 inf + 0
20.730 * * [simplify]: Extracting #2: cost 11 inf + 0
20.730 * * [simplify]: Extracting #3: cost 15 inf + 3
20.731 * * [simplify]: Extracting #4: cost 20 inf + 71
20.731 * * [simplify]: Extracting #5: cost 20 inf + 212
20.731 * * [simplify]: Extracting #6: cost 18 inf + 668
20.731 * * [simplify]: Extracting #7: cost 17 inf + 736
20.731 * * [simplify]: Extracting #8: cost 16 inf + 868
20.731 * * [simplify]: Extracting #9: cost 15 inf + 1040
20.731 * * [simplify]: Extracting #10: cost 9 inf + 2814
20.732 * * [simplify]: Extracting #11: cost 5 inf + 4267
20.733 * * [simplify]: Extracting #12: cost 1 inf + 7032
20.734 * * [simplify]: Extracting #13: cost 0 inf + 8392
20.735 * [simplify]: Simplified to:
  (if (<= n -0.8249084896539374) (* 100 (/ (expm1 i) (/ i n))) (if (<= n -2.7004764031193593e-129) (/ (cbrt (* (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) 1000000)) (/ i n)) (if (<= n -1.1007636657452675e-234) (/ (* 100 (expm1 (* (log1p (/ i n)) n))) (/ i n)) (if (<= n 5.476973539989824e-182) 0 (* 100 (/ 1 (/ (/ i n) (expm1 (* (log1p (/ i n)) n)))))))))
28.281 * [regime-testing]: Baseline error score: 20.784497707978645
28.283 * [regime-testing]: Oracle error score: 10.093935089583423
28.288 * [regime-testing]: End program error score: 18.070902439747925
28.388 * [regime-testing]: Target error score: 42.57171641366779