10.525 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.281 * * * [progress]: [2/2] Setting up program.
0.284 * [progress]: [Phase 2 of 3] Improving.
0.284 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
0.284 * [simplify]: Simplifying:
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
0.284 * * [simplify]: iteration 1: (10 enodes)
0.304 * * [simplify]: iteration 2: (26 enodes)
0.308 * * [simplify]: iteration 3: (56 enodes)
0.328 * * [simplify]: iteration 4: (148 enodes)
0.424 * * [simplify]: iteration 5: (419 enodes)
0.655 * * [simplify]: iteration 6: (1480 enodes)
3.423 * * [simplify]: Extracting #0: cost 1 inf + 0
3.424 * * [simplify]: Extracting #1: cost 270 inf + 0
3.429 * * [simplify]: Extracting #2: cost 1254 inf + 339
3.441 * * [simplify]: Extracting #3: cost 1877 inf + 2834
3.454 * * [simplify]: Extracting #4: cost 1819 inf + 15254
3.501 * * [simplify]: Extracting #5: cost 1447 inf + 209120
3.706 * * [simplify]: Extracting #6: cost 394 inf + 890327
3.990 * * [simplify]: Extracting #7: cost 10 inf + 1101300
4.232 * * [simplify]: Extracting #8: cost 0 inf + 1097099
4.475 * [simplify]: Simplified to:
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
4.480 * * [progress]: iteration 1 / 4
4.480 * * * [progress]: picking best candidate
4.483 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
4.483 * * * [progress]: localizing error
4.513 * * * [progress]: generating rewritten candidates
4.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
4.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
4.833 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.045 * * * [progress]: generating series expansions
5.045 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.046 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) into (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)
5.046 * [approximate]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in (i n) around 0
5.046 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n
5.046 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n
5.046 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
5.046 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
5.046 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
5.046 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
5.046 * [taylor]: Taking taylor expansion of n in n
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 1 into 1
5.046 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
5.046 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
5.046 * [taylor]: Taking taylor expansion of (/ i n) in n
5.046 * [taylor]: Taking taylor expansion of i in n
5.046 * [backup-simplify]: Simplify i into i
5.046 * [taylor]: Taking taylor expansion of n in n
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 1 into 1
5.047 * [backup-simplify]: Simplify (/ i 1) into i
5.047 * [taylor]: Taking taylor expansion of 1 in n
5.047 * [backup-simplify]: Simplify 1 into 1
5.047 * [backup-simplify]: Simplify (+ i 0) into i
5.047 * [backup-simplify]: Simplify (log i) into (log i)
5.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.049 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
5.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (+ 0 1) into 1
5.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
5.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.052 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
5.052 * [backup-simplify]: Simplify (exp 0) into 1
5.052 * [taylor]: Taking taylor expansion of 1 in n
5.052 * [backup-simplify]: Simplify 1 into 1
5.052 * [taylor]: Taking taylor expansion of n in n
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.052 * [taylor]: Taking taylor expansion of i in n
5.052 * [backup-simplify]: Simplify i into i
5.052 * [backup-simplify]: Simplify (- 1) into -1
5.053 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.053 * [backup-simplify]: Simplify (* 0 0) into 0
5.053 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
5.054 * [backup-simplify]: Simplify (- 0) into 0
5.054 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
5.054 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.056 * [backup-simplify]: Simplify (+ 0 0) into 0
5.058 * [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))
5.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.059 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i)
5.059 * [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)))))
5.059 * [backup-simplify]: Simplify (- 0) into 0
5.060 * [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)))))
5.062 * [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))
5.062 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
5.062 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
5.062 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
5.062 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.062 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.062 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.062 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.062 * [taylor]: Taking taylor expansion of n in i
5.062 * [backup-simplify]: Simplify n into n
5.062 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.062 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.062 * [taylor]: Taking taylor expansion of (/ i n) in i
5.062 * [taylor]: Taking taylor expansion of i in i
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify 1 into 1
5.062 * [taylor]: Taking taylor expansion of n in i
5.062 * [backup-simplify]: Simplify n into n
5.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.062 * [taylor]: Taking taylor expansion of 1 in i
5.062 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (+ 0 1) into 1
5.063 * [backup-simplify]: Simplify (log 1) into 0
5.063 * [backup-simplify]: Simplify (* n 0) into 0
5.063 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.064 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.064 * [backup-simplify]: Simplify (exp 0) into 1
5.064 * [taylor]: Taking taylor expansion of 1 in i
5.064 * [backup-simplify]: Simplify 1 into 1
5.064 * [taylor]: Taking taylor expansion of n in i
5.064 * [backup-simplify]: Simplify n into n
5.064 * [taylor]: Taking taylor expansion of i in i
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (- 1) into -1
5.065 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.065 * [backup-simplify]: Simplify (* 0 n) into 0
5.066 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.067 * [backup-simplify]: Simplify (- 0) into 0
5.067 * [backup-simplify]: Simplify (+ 1 0) into 1
5.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
5.068 * [backup-simplify]: Simplify (/ n 1) into n
5.068 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
5.068 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
5.068 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.068 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.068 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.068 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.068 * [taylor]: Taking taylor expansion of n in i
5.068 * [backup-simplify]: Simplify n into n
5.068 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.068 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.068 * [taylor]: Taking taylor expansion of (/ i n) in i
5.068 * [taylor]: Taking taylor expansion of i in i
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 1 into 1
5.068 * [taylor]: Taking taylor expansion of n in i
5.068 * [backup-simplify]: Simplify n into n
5.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.068 * [taylor]: Taking taylor expansion of 1 in i
5.068 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (log 1) into 0
5.076 * [backup-simplify]: Simplify (* n 0) into 0
5.076 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.077 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.077 * [backup-simplify]: Simplify (exp 0) into 1
5.077 * [taylor]: Taking taylor expansion of 1 in i
5.077 * [backup-simplify]: Simplify 1 into 1
5.077 * [taylor]: Taking taylor expansion of n in i
5.077 * [backup-simplify]: Simplify n into n
5.077 * [taylor]: Taking taylor expansion of i in i
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 1 into 1
5.078 * [backup-simplify]: Simplify (- 1) into -1
5.078 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.078 * [backup-simplify]: Simplify (* 0 n) into 0
5.079 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.080 * [backup-simplify]: Simplify (- 0) into 0
5.080 * [backup-simplify]: Simplify (+ 1 0) into 1
5.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
5.080 * [backup-simplify]: Simplify (/ n 1) into n
5.081 * [taylor]: Taking taylor expansion of n in n
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
5.081 * [backup-simplify]: Simplify (+ 0 0) into 0
5.083 * [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))
5.084 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
5.084 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
5.085 * [backup-simplify]: Simplify (- 0) into 0
5.085 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
5.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
5.087 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
5.087 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
5.087 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
5.087 * [taylor]: Taking taylor expansion of 1/2 in n
5.087 * [backup-simplify]: Simplify 1/2 into 1/2
5.087 * [taylor]: Taking taylor expansion of n in n
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 1 into 1
5.087 * [taylor]: Taking taylor expansion of 1/2 in n
5.087 * [backup-simplify]: Simplify 1/2 into 1/2
5.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.088 * [backup-simplify]: Simplify (- 0) into 0
5.089 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify 0 into 0
5.089 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.089 * [backup-simplify]: Simplify (+ 0 0) into 0
5.092 * [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))
5.093 * [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)))
5.094 * [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)))
5.095 * [backup-simplify]: Simplify (- 0) into 0
5.095 * [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)))
5.097 * [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)
5.098 * [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)
5.098 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n
5.098 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n
5.098 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
5.098 * [taylor]: Taking taylor expansion of 1/6 in n
5.098 * [backup-simplify]: Simplify 1/6 into 1/6
5.098 * [taylor]: Taking taylor expansion of n in n
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 1 into 1
5.098 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n
5.098 * [taylor]: Taking taylor expansion of 1/3 in n
5.098 * [backup-simplify]: Simplify 1/3 into 1/3
5.098 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.098 * [taylor]: Taking taylor expansion of n in n
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 1 into 1
5.099 * [backup-simplify]: Simplify (/ 1 1) into 1
5.099 * [taylor]: Taking taylor expansion of 1/2 in n
5.099 * [backup-simplify]: Simplify 1/2 into 1/2
5.100 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.104 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (+ 0 0) into 0
5.105 * [backup-simplify]: Simplify (- 0) into 0
5.105 * [backup-simplify]: Simplify (+ 0 0) into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.106 * [backup-simplify]: Simplify (- 0) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify 0 into 0
5.107 * [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)
5.107 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in (i n) around 0
5.107 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n
5.107 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n
5.107 * [taylor]: Taking taylor expansion of i in n
5.107 * [backup-simplify]: Simplify i into i
5.107 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
5.107 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
5.107 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
5.107 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
5.107 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.107 * [taylor]: Taking taylor expansion of n in n
5.107 * [backup-simplify]: Simplify 0 into 0
5.107 * [backup-simplify]: Simplify 1 into 1
5.107 * [backup-simplify]: Simplify (/ 1 1) into 1
5.107 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.107 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.107 * [taylor]: Taking taylor expansion of (/ n i) in n
5.107 * [taylor]: Taking taylor expansion of n in n
5.107 * [backup-simplify]: Simplify 0 into 0
5.107 * [backup-simplify]: Simplify 1 into 1
5.107 * [taylor]: Taking taylor expansion of i in n
5.107 * [backup-simplify]: Simplify i into i
5.107 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.107 * [taylor]: Taking taylor expansion of 1 in n
5.107 * [backup-simplify]: Simplify 1 into 1
5.108 * [backup-simplify]: Simplify (+ 0 1) into 1
5.108 * [backup-simplify]: Simplify (log 1) into 0
5.108 * [backup-simplify]: Simplify (* 1 0) into 0
5.108 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.109 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
5.109 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
5.109 * [taylor]: Taking taylor expansion of 1 in n
5.109 * [backup-simplify]: Simplify 1 into 1
5.109 * [taylor]: Taking taylor expansion of n in n
5.109 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (- 1) into -1
5.110 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
5.110 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
5.110 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
5.110 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
5.110 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
5.110 * [taylor]: Taking taylor expansion of i in i
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.110 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.110 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.110 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.110 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.110 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.110 * [taylor]: Taking taylor expansion of n in i
5.110 * [backup-simplify]: Simplify n into n
5.110 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.110 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.110 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.110 * [taylor]: Taking taylor expansion of (/ n i) in i
5.110 * [taylor]: Taking taylor expansion of n in i
5.110 * [backup-simplify]: Simplify n into n
5.110 * [taylor]: Taking taylor expansion of i in i
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (/ n 1) into n
5.110 * [taylor]: Taking taylor expansion of 1 in i
5.110 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (+ n 0) into n
5.110 * [backup-simplify]: Simplify (log n) into (log n)
5.111 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.111 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.111 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.111 * [taylor]: Taking taylor expansion of 1 in i
5.111 * [backup-simplify]: Simplify 1 into 1
5.111 * [taylor]: Taking taylor expansion of n in i
5.111 * [backup-simplify]: Simplify n into n
5.111 * [backup-simplify]: Simplify (- 1) into -1
5.111 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.111 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
5.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.112 * [backup-simplify]: Simplify (+ 0 1) into 1
5.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.113 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.113 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.113 * [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))
5.113 * [backup-simplify]: Simplify (- 0) into 0
5.114 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.114 * [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)
5.114 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
5.114 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
5.114 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
5.114 * [taylor]: Taking taylor expansion of i in i
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 1 into 1
5.114 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.114 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.114 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.114 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.114 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.114 * [taylor]: Taking taylor expansion of n in i
5.114 * [backup-simplify]: Simplify n into n
5.114 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.114 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.114 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.114 * [taylor]: Taking taylor expansion of (/ n i) in i
5.114 * [taylor]: Taking taylor expansion of n in i
5.114 * [backup-simplify]: Simplify n into n
5.114 * [taylor]: Taking taylor expansion of i in i
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 1 into 1
5.114 * [backup-simplify]: Simplify (/ n 1) into n
5.114 * [taylor]: Taking taylor expansion of 1 in i
5.114 * [backup-simplify]: Simplify 1 into 1
5.114 * [backup-simplify]: Simplify (+ n 0) into n
5.114 * [backup-simplify]: Simplify (log n) into (log n)
5.115 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.115 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.115 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.115 * [taylor]: Taking taylor expansion of 1 in i
5.115 * [backup-simplify]: Simplify 1 into 1
5.115 * [taylor]: Taking taylor expansion of n in i
5.115 * [backup-simplify]: Simplify n into n
5.115 * [backup-simplify]: Simplify (- 1) into -1
5.115 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.115 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
5.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.116 * [backup-simplify]: Simplify (+ 0 1) into 1
5.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.117 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.117 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.117 * [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))
5.117 * [backup-simplify]: Simplify (- 0) into 0
5.118 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.118 * [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)
5.118 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
5.118 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
5.118 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
5.118 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.118 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.118 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.118 * [taylor]: Taking taylor expansion of (log n) in n
5.118 * [taylor]: Taking taylor expansion of n in n
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 1 into 1
5.118 * [backup-simplify]: Simplify (log 1) into 0
5.118 * [taylor]: Taking taylor expansion of (log i) in n
5.118 * [taylor]: Taking taylor expansion of i in n
5.118 * [backup-simplify]: Simplify i into i
5.118 * [backup-simplify]: Simplify (log i) into (log i)
5.118 * [taylor]: Taking taylor expansion of n in n
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 1 into 1
5.119 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.119 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.119 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.119 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.119 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.119 * [taylor]: Taking taylor expansion of 1 in n
5.119 * [backup-simplify]: Simplify 1 into 1
5.119 * [taylor]: Taking taylor expansion of n in n
5.119 * [backup-simplify]: Simplify 0 into 0
5.119 * [backup-simplify]: Simplify 1 into 1
5.119 * [backup-simplify]: Simplify (- 1) into -1
5.120 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.120 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.120 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.121 * [backup-simplify]: Simplify (+ 0 0) into 0
5.122 * [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))
5.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.122 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.122 * [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))))
5.123 * [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)))
5.123 * [backup-simplify]: Simplify (- 0) into 0
5.123 * [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))))
5.124 * [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))
5.124 * [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))
5.124 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
5.124 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.124 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.124 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.124 * [taylor]: Taking taylor expansion of (log n) in n
5.124 * [taylor]: Taking taylor expansion of n in n
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [backup-simplify]: Simplify 1 into 1
5.124 * [backup-simplify]: Simplify (log 1) into 0
5.124 * [taylor]: Taking taylor expansion of (log i) in n
5.124 * [taylor]: Taking taylor expansion of i in n
5.124 * [backup-simplify]: Simplify i into i
5.124 * [backup-simplify]: Simplify (log i) into (log i)
5.124 * [taylor]: Taking taylor expansion of n in n
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [backup-simplify]: Simplify 1 into 1
5.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.125 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.125 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.125 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.125 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.125 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.125 * [taylor]: Taking taylor expansion of n in n
5.125 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify 1 into 1
5.125 * [backup-simplify]: Simplify (* 1 1) into 1
5.125 * [backup-simplify]: Simplify (* 1 1) into 1
5.125 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify (- 0) into 0
5.129 * [backup-simplify]: Simplify (+ 0 0) into 0
5.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
5.130 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.131 * [backup-simplify]: Simplify (+ 0 0) into 0
5.133 * [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))
5.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.133 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.133 * [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)))
5.134 * [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)))))
5.134 * [backup-simplify]: Simplify (- 0) into 0
5.134 * [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))))
5.135 * [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))))
5.136 * [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))))
5.136 * [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
5.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
5.136 * [taylor]: Taking taylor expansion of 1/2 in n
5.136 * [backup-simplify]: Simplify 1/2 into 1/2
5.136 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
5.136 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.136 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.136 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.136 * [taylor]: Taking taylor expansion of (log n) in n
5.136 * [taylor]: Taking taylor expansion of n in n
5.136 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 1 into 1
5.136 * [backup-simplify]: Simplify (log 1) into 0
5.136 * [taylor]: Taking taylor expansion of (log i) in n
5.136 * [taylor]: Taking taylor expansion of i in n
5.136 * [backup-simplify]: Simplify i into i
5.136 * [backup-simplify]: Simplify (log i) into (log i)
5.136 * [taylor]: Taking taylor expansion of n in n
5.136 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 1 into 1
5.137 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.137 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.137 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.137 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.137 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.137 * [taylor]: Taking taylor expansion of (pow n 5) in n
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
5.137 * [backup-simplify]: Simplify (* 1 1) into 1
5.137 * [backup-simplify]: Simplify (* 1 1) into 1
5.138 * [backup-simplify]: Simplify (* 1 1) into 1
5.138 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
5.138 * [taylor]: Taking taylor expansion of 1/2 in n
5.138 * [backup-simplify]: Simplify 1/2 into 1/2
5.138 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
5.138 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.138 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.138 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.138 * [taylor]: Taking taylor expansion of (log n) in n
5.138 * [taylor]: Taking taylor expansion of n in n
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify 1 into 1
5.138 * [backup-simplify]: Simplify (log 1) into 0
5.138 * [taylor]: Taking taylor expansion of (log i) in n
5.138 * [taylor]: Taking taylor expansion of i in n
5.138 * [backup-simplify]: Simplify i into i
5.138 * [backup-simplify]: Simplify (log i) into (log i)
5.138 * [taylor]: Taking taylor expansion of n in n
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify 1 into 1
5.138 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.139 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.139 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.139 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.139 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.139 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.139 * [taylor]: Taking taylor expansion of n in n
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 1 into 1
5.139 * [backup-simplify]: Simplify (* 1 1) into 1
5.139 * [backup-simplify]: Simplify (* 1 1) into 1
5.139 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
5.167 * [backup-simplify]: Simplify (- 0) into 0
5.167 * [backup-simplify]: Simplify (+ 0 0) into 0
5.167 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify (- 0) into 0
5.171 * [backup-simplify]: Simplify (+ 0 0) into 0
5.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.173 * [backup-simplify]: Simplify (+ 0 0) into 0
5.176 * [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))
5.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.176 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.177 * [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))))
5.177 * [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))))))
5.177 * [backup-simplify]: Simplify (- 0) into 0
5.178 * [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)))))
5.179 * [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))))
5.181 * [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))))
5.181 * [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
5.181 * [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
5.181 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
5.181 * [taylor]: Taking taylor expansion of 1/6 in n
5.181 * [backup-simplify]: Simplify 1/6 into 1/6
5.181 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
5.181 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.181 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.181 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.181 * [taylor]: Taking taylor expansion of (log n) in n
5.181 * [taylor]: Taking taylor expansion of n in n
5.181 * [backup-simplify]: Simplify 0 into 0
5.181 * [backup-simplify]: Simplify 1 into 1
5.183 * [backup-simplify]: Simplify (log 1) into 0
5.183 * [taylor]: Taking taylor expansion of (log i) in n
5.184 * [taylor]: Taking taylor expansion of i in n
5.184 * [backup-simplify]: Simplify i into i
5.184 * [backup-simplify]: Simplify (log i) into (log i)
5.184 * [taylor]: Taking taylor expansion of n in n
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify 1 into 1
5.184 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.184 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.184 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.184 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.184 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.184 * [taylor]: Taking taylor expansion of (pow n 7) in n
5.184 * [taylor]: Taking taylor expansion of n in n
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (* 1 1) into 1
5.185 * [backup-simplify]: Simplify (* 1 1) into 1
5.185 * [backup-simplify]: Simplify (* 1 1) into 1
5.185 * [backup-simplify]: Simplify (* 1 1) into 1
5.185 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.185 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
5.186 * [taylor]: Taking taylor expansion of 1/3 in n
5.186 * [backup-simplify]: Simplify 1/3 into 1/3
5.186 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
5.186 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.186 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.186 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.186 * [taylor]: Taking taylor expansion of (log n) in n
5.186 * [taylor]: Taking taylor expansion of n in n
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (log 1) into 0
5.186 * [taylor]: Taking taylor expansion of (log i) in n
5.186 * [taylor]: Taking taylor expansion of i in n
5.186 * [backup-simplify]: Simplify i into i
5.186 * [backup-simplify]: Simplify (log i) into (log i)
5.186 * [taylor]: Taking taylor expansion of n in n
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.186 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.186 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.186 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.187 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.187 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.187 * [taylor]: Taking taylor expansion of n in n
5.187 * [backup-simplify]: Simplify 0 into 0
5.187 * [backup-simplify]: Simplify 1 into 1
5.187 * [backup-simplify]: Simplify (* 1 1) into 1
5.187 * [backup-simplify]: Simplify (* 1 1) into 1
5.187 * [backup-simplify]: Simplify (* 1 1) into 1
5.187 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
5.188 * [taylor]: Taking taylor expansion of 1/2 in n
5.188 * [backup-simplify]: Simplify 1/2 into 1/2
5.188 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
5.188 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.188 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.188 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.188 * [taylor]: Taking taylor expansion of (log n) in n
5.188 * [taylor]: Taking taylor expansion of n in n
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 1 into 1
5.188 * [backup-simplify]: Simplify (log 1) into 0
5.188 * [taylor]: Taking taylor expansion of (log i) in n
5.188 * [taylor]: Taking taylor expansion of i in n
5.188 * [backup-simplify]: Simplify i into i
5.188 * [backup-simplify]: Simplify (log i) into (log i)
5.188 * [taylor]: Taking taylor expansion of n in n
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 1 into 1
5.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.188 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.188 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.188 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.189 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.189 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.189 * [taylor]: Taking taylor expansion of n in n
5.189 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify 1 into 1
5.189 * [backup-simplify]: Simplify (* 1 1) into 1
5.189 * [backup-simplify]: Simplify (* 1 1) into 1
5.190 * [backup-simplify]: Simplify (* 1 1) into 1
5.190 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.207 * [backup-simplify]: Simplify (+ (* 1 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.218 * [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
5.220 * [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
5.221 * [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
5.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.235 * [backup-simplify]: Simplify (+ 0 0) into 0
5.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.244 * [backup-simplify]: Simplify (+ (* 1 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)))) into 0
5.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.249 * [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
5.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
5.251 * [backup-simplify]: Simplify (- 0) into 0
5.251 * [backup-simplify]: Simplify (+ 0 0) into 0
5.251 * [backup-simplify]: Simplify 0 into 0
5.251 * [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)
5.252 * [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)
5.252 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in (i n) around 0
5.252 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n
5.252 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n
5.252 * [taylor]: Taking taylor expansion of i in n
5.252 * [backup-simplify]: Simplify i into i
5.252 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
5.252 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
5.252 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
5.252 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
5.252 * [taylor]: Taking taylor expansion of (/ -1 n) in n
5.252 * [taylor]: Taking taylor expansion of -1 in n
5.252 * [backup-simplify]: Simplify -1 into -1
5.252 * [taylor]: Taking taylor expansion of n in n
5.252 * [backup-simplify]: Simplify 0 into 0
5.252 * [backup-simplify]: Simplify 1 into 1
5.252 * [backup-simplify]: Simplify (/ -1 1) into -1
5.252 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.252 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.252 * [taylor]: Taking taylor expansion of (/ n i) in n
5.252 * [taylor]: Taking taylor expansion of n in n
5.252 * [backup-simplify]: Simplify 0 into 0
5.252 * [backup-simplify]: Simplify 1 into 1
5.252 * [taylor]: Taking taylor expansion of i in n
5.252 * [backup-simplify]: Simplify i into i
5.252 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.252 * [taylor]: Taking taylor expansion of 1 in n
5.252 * [backup-simplify]: Simplify 1 into 1
5.253 * [backup-simplify]: Simplify (+ 0 1) into 1
5.253 * [backup-simplify]: Simplify (log 1) into 0
5.253 * [backup-simplify]: Simplify (* -1 0) into 0
5.253 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.255 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
5.255 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
5.255 * [taylor]: Taking taylor expansion of 1 in n
5.255 * [backup-simplify]: Simplify 1 into 1
5.255 * [taylor]: Taking taylor expansion of n in n
5.256 * [backup-simplify]: Simplify 0 into 0
5.256 * [backup-simplify]: Simplify 1 into 1
5.256 * [backup-simplify]: Simplify (- 1) into -1
5.256 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1)
5.256 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1))
5.256 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1))
5.256 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
5.256 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
5.256 * [taylor]: Taking taylor expansion of i in i
5.256 * [backup-simplify]: Simplify 0 into 0
5.256 * [backup-simplify]: Simplify 1 into 1
5.256 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.257 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.257 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.257 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.257 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.257 * [taylor]: Taking taylor expansion of -1 in i
5.257 * [backup-simplify]: Simplify -1 into -1
5.257 * [taylor]: Taking taylor expansion of n in i
5.257 * [backup-simplify]: Simplify n into n
5.257 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.257 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.257 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.257 * [taylor]: Taking taylor expansion of (/ n i) in i
5.257 * [taylor]: Taking taylor expansion of n in i
5.257 * [backup-simplify]: Simplify n into n
5.257 * [taylor]: Taking taylor expansion of i in i
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 1 into 1
5.257 * [backup-simplify]: Simplify (/ n 1) into n
5.257 * [taylor]: Taking taylor expansion of 1 in i
5.257 * [backup-simplify]: Simplify 1 into 1
5.257 * [backup-simplify]: Simplify (+ n 0) into n
5.257 * [backup-simplify]: Simplify (log n) into (log n)
5.258 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.258 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.258 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.258 * [taylor]: Taking taylor expansion of 1 in i
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [taylor]: Taking taylor expansion of n in i
5.258 * [backup-simplify]: Simplify n into n
5.258 * [backup-simplify]: Simplify (- 1) into -1
5.259 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.259 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
5.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.260 * [backup-simplify]: Simplify (+ 0 1) into 1
5.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.261 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.262 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.262 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.262 * [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)))
5.263 * [backup-simplify]: Simplify (- 0) into 0
5.263 * [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)))
5.263 * [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)
5.263 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
5.264 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
5.264 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
5.264 * [taylor]: Taking taylor expansion of i in i
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.264 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.264 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.264 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.264 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.264 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.264 * [taylor]: Taking taylor expansion of -1 in i
5.264 * [backup-simplify]: Simplify -1 into -1
5.264 * [taylor]: Taking taylor expansion of n in i
5.264 * [backup-simplify]: Simplify n into n
5.264 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.264 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.264 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.264 * [taylor]: Taking taylor expansion of (/ n i) in i
5.264 * [taylor]: Taking taylor expansion of n in i
5.264 * [backup-simplify]: Simplify n into n
5.264 * [taylor]: Taking taylor expansion of i in i
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.264 * [backup-simplify]: Simplify (/ n 1) into n
5.264 * [taylor]: Taking taylor expansion of 1 in i
5.264 * [backup-simplify]: Simplify 1 into 1
5.264 * [backup-simplify]: Simplify (+ n 0) into n
5.264 * [backup-simplify]: Simplify (log n) into (log n)
5.265 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.265 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.265 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.265 * [taylor]: Taking taylor expansion of 1 in i
5.265 * [backup-simplify]: Simplify 1 into 1
5.265 * [taylor]: Taking taylor expansion of n in i
5.265 * [backup-simplify]: Simplify n into n
5.265 * [backup-simplify]: Simplify (- 1) into -1
5.265 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.265 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.266 * [backup-simplify]: Simplify (+ 0 1) into 1
5.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.267 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.267 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.267 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.267 * [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)))
5.267 * [backup-simplify]: Simplify (- 0) into 0
5.268 * [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)))
5.268 * [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)
5.268 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
5.268 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
5.268 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
5.268 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.268 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.268 * [taylor]: Taking taylor expansion of -1 in n
5.268 * [backup-simplify]: Simplify -1 into -1
5.268 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.268 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.268 * [taylor]: Taking taylor expansion of (log n) in n
5.268 * [taylor]: Taking taylor expansion of n in n
5.268 * [backup-simplify]: Simplify 0 into 0
5.268 * [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))
5.269 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.269 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.269 * [taylor]: Taking taylor expansion of 1 in n
5.269 * [backup-simplify]: Simplify 1 into 1
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
5.270 * [backup-simplify]: Simplify (- 1) into -1
5.270 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.270 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.270 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.271 * [backup-simplify]: Simplify (+ 0 0) into 0
5.272 * [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))
5.272 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.272 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.272 * [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)))
5.273 * [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)))))
5.273 * [backup-simplify]: Simplify (- 0) into 0
5.273 * [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))))
5.274 * [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)))
5.274 * [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)))
5.274 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
5.274 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
5.274 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.274 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.274 * [taylor]: Taking taylor expansion of -1 in n
5.274 * [backup-simplify]: Simplify -1 into -1
5.274 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.274 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.274 * [taylor]: Taking taylor expansion of (log n) in n
5.274 * [taylor]: Taking taylor expansion of n in n
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify (log 1) into 0
5.274 * [taylor]: Taking taylor expansion of (log i) in n
5.275 * [taylor]: Taking taylor expansion of i in n
5.275 * [backup-simplify]: Simplify i into i
5.275 * [backup-simplify]: Simplify (log i) into (log i)
5.275 * [taylor]: Taking taylor expansion of n in n
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify 1 into 1
5.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.275 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.275 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.275 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.275 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.275 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.275 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.275 * [taylor]: Taking taylor expansion of n in n
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify 1 into 1
5.275 * [backup-simplify]: Simplify (* 1 1) into 1
5.276 * [backup-simplify]: Simplify (* 1 1) into 1
5.276 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.281 * [backup-simplify]: Simplify (- 0) into 0
5.281 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify (- 0) into 0
5.282 * [backup-simplify]: Simplify (+ 0 0) into 0
5.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
5.282 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.284 * [backup-simplify]: Simplify (+ 0 0) into 0
5.285 * [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))
5.285 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.286 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.286 * [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))))
5.286 * [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)))))))
5.286 * [backup-simplify]: Simplify (- 0) into 0
5.287 * [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))))))
5.288 * [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))))
5.289 * [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))))
5.289 * [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
5.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.289 * [taylor]: Taking taylor expansion of 1/2 in n
5.289 * [backup-simplify]: Simplify 1/2 into 1/2
5.289 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.289 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.289 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.289 * [taylor]: Taking taylor expansion of -1 in n
5.289 * [backup-simplify]: Simplify -1 into -1
5.289 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.289 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.289 * [taylor]: Taking taylor expansion of (log n) in n
5.289 * [taylor]: Taking taylor expansion of n in n
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 1 into 1
5.289 * [backup-simplify]: Simplify (log 1) into 0
5.289 * [taylor]: Taking taylor expansion of (log i) in n
5.289 * [taylor]: Taking taylor expansion of i in n
5.289 * [backup-simplify]: Simplify i into i
5.289 * [backup-simplify]: Simplify (log i) into (log i)
5.289 * [taylor]: Taking taylor expansion of n in n
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 1 into 1
5.289 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.290 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.290 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.290 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.290 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.290 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.290 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.290 * [taylor]: Taking taylor expansion of n in n
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 1 into 1
5.290 * [backup-simplify]: Simplify (* 1 1) into 1
5.290 * [backup-simplify]: Simplify (* 1 1) into 1
5.291 * [backup-simplify]: Simplify (* 1 1) into 1
5.291 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.291 * [taylor]: Taking taylor expansion of 1/2 in n
5.291 * [backup-simplify]: Simplify 1/2 into 1/2
5.291 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.291 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.291 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.291 * [taylor]: Taking taylor expansion of -1 in n
5.291 * [backup-simplify]: Simplify -1 into -1
5.291 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.291 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.291 * [taylor]: Taking taylor expansion of (log n) in n
5.291 * [taylor]: Taking taylor expansion of n in n
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [backup-simplify]: Simplify (log 1) into 0
5.291 * [taylor]: Taking taylor expansion of (log i) in n
5.291 * [taylor]: Taking taylor expansion of i in n
5.291 * [backup-simplify]: Simplify i into i
5.291 * [backup-simplify]: Simplify (log i) into (log i)
5.291 * [taylor]: Taking taylor expansion of n in n
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.292 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.292 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.292 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.292 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.292 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.292 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.292 * [taylor]: Taking taylor expansion of n in n
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.292 * [backup-simplify]: Simplify (* 1 1) into 1
5.292 * [backup-simplify]: Simplify (* 1 1) into 1
5.292 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.308 * [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
5.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.320 * [backup-simplify]: Simplify (+ 0 0) into 0
5.321 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.325 * [backup-simplify]: Simplify (- 0) into 0
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify (- 0) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.330 * [backup-simplify]: Simplify (+ 0 0) into 0
5.335 * [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))
5.335 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.336 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.336 * [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)))
5.338 * [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)))))))
5.338 * [backup-simplify]: Simplify (- 0) into 0
5.339 * [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))))))
5.343 * [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))))))
5.345 * [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))))))
5.345 * [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
5.345 * [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
5.345 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
5.345 * [taylor]: Taking taylor expansion of 1/6 in n
5.345 * [backup-simplify]: Simplify 1/6 into 1/6
5.345 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
5.345 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.345 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.345 * [taylor]: Taking taylor expansion of -1 in n
5.345 * [backup-simplify]: Simplify -1 into -1
5.345 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.345 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.345 * [taylor]: Taking taylor expansion of (log n) in n
5.345 * [taylor]: Taking taylor expansion of n in n
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 1 into 1
5.346 * [backup-simplify]: Simplify (log 1) into 0
5.346 * [taylor]: Taking taylor expansion of (log i) in n
5.346 * [taylor]: Taking taylor expansion of i in n
5.346 * [backup-simplify]: Simplify i into i
5.346 * [backup-simplify]: Simplify (log i) into (log i)
5.346 * [taylor]: Taking taylor expansion of n in n
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 1 into 1
5.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.347 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.347 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.347 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.347 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.347 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.347 * [taylor]: Taking taylor expansion of (pow n 7) in n
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 * [backup-simplify]: Simplify (* 1 1) into 1
5.348 * [backup-simplify]: Simplify (* 1 1) into 1
5.349 * [backup-simplify]: Simplify (* 1 1) into 1
5.349 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.349 * [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
5.349 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.349 * [taylor]: Taking taylor expansion of 1/3 in n
5.349 * [backup-simplify]: Simplify 1/3 into 1/3
5.349 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.349 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.349 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.349 * [taylor]: Taking taylor expansion of -1 in n
5.349 * [backup-simplify]: Simplify -1 into -1
5.349 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.349 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.349 * [taylor]: Taking taylor expansion of (log n) in n
5.349 * [taylor]: Taking taylor expansion of n in n
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (log 1) into 0
5.350 * [taylor]: Taking taylor expansion of (log i) in n
5.350 * [taylor]: Taking taylor expansion of i in n
5.350 * [backup-simplify]: Simplify i into i
5.350 * [backup-simplify]: Simplify (log i) into (log i)
5.350 * [taylor]: Taking taylor expansion of n in n
5.350 * [backup-simplify]: Simplify 0 into 0
5.350 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.350 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.350 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.350 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.351 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.351 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.351 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.351 * [taylor]: Taking taylor expansion of n in n
5.351 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify 1 into 1
5.351 * [backup-simplify]: Simplify (* 1 1) into 1
5.351 * [backup-simplify]: Simplify (* 1 1) into 1
5.352 * [backup-simplify]: Simplify (* 1 1) into 1
5.352 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
5.352 * [taylor]: Taking taylor expansion of 1/2 in n
5.352 * [backup-simplify]: Simplify 1/2 into 1/2
5.352 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
5.352 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.352 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
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 (/ (- (log n) (log i)) n) in n
5.352 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.352 * [taylor]: Taking taylor expansion of (log n) in n
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
5.353 * [backup-simplify]: Simplify (log 1) into 0
5.353 * [taylor]: Taking taylor expansion of (log i) in n
5.353 * [taylor]: Taking taylor expansion of i in n
5.353 * [backup-simplify]: Simplify i into i
5.353 * [backup-simplify]: Simplify (log i) into (log i)
5.353 * [taylor]: Taking taylor expansion of n in n
5.353 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify 1 into 1
5.353 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.353 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.353 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.353 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.354 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.354 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.354 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.354 * [taylor]: Taking taylor expansion of n in n
5.354 * [backup-simplify]: Simplify 0 into 0
5.354 * [backup-simplify]: Simplify 1 into 1
5.354 * [backup-simplify]: Simplify (* 1 1) into 1
5.355 * [backup-simplify]: Simplify (* 1 1) into 1
5.355 * [backup-simplify]: Simplify (* 1 1) into 1
5.355 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.376 * [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
5.377 * [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
5.379 * [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
5.381 * [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
5.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
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 0) (+ (* 0 0) (* 0 1))))) into 0
5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.394 * [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
5.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.415 * [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
5.418 * [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
5.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
5.420 * [backup-simplify]: Simplify (+ 0 0) into 0
5.421 * [backup-simplify]: Simplify (+ 0 0) into 0
5.421 * [backup-simplify]: Simplify (- 0) into 0
5.421 * [backup-simplify]: Simplify 0 into 0
5.422 * [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)
5.422 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
5.422 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n)
5.422 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0
5.422 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
5.422 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
5.422 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
5.422 * [taylor]: Taking taylor expansion of n in n
5.422 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify 1 into 1
5.422 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
5.422 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
5.422 * [taylor]: Taking taylor expansion of (/ i n) in n
5.422 * [taylor]: Taking taylor expansion of i in n
5.422 * [backup-simplify]: Simplify i into i
5.422 * [taylor]: Taking taylor expansion of n in n
5.422 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify 1 into 1
5.422 * [backup-simplify]: Simplify (/ i 1) into i
5.422 * [taylor]: Taking taylor expansion of 1 in n
5.422 * [backup-simplify]: Simplify 1 into 1
5.422 * [backup-simplify]: Simplify (+ i 0) into i
5.423 * [backup-simplify]: Simplify (log i) into (log i)
5.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.423 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
5.424 * [backup-simplify]: Simplify (+ 0 1) into 1
5.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
5.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.425 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
5.425 * [backup-simplify]: Simplify (exp 0) into 1
5.425 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.425 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.425 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.425 * [taylor]: Taking taylor expansion of n in i
5.425 * [backup-simplify]: Simplify n into n
5.425 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.425 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.425 * [taylor]: Taking taylor expansion of (/ i n) in i
5.425 * [taylor]: Taking taylor expansion of i in i
5.425 * [backup-simplify]: Simplify 0 into 0
5.425 * [backup-simplify]: Simplify 1 into 1
5.425 * [taylor]: Taking taylor expansion of n in i
5.425 * [backup-simplify]: Simplify n into n
5.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.426 * [taylor]: Taking taylor expansion of 1 in i
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [backup-simplify]: Simplify (+ 0 1) into 1
5.426 * [backup-simplify]: Simplify (log 1) into 0
5.426 * [backup-simplify]: Simplify (* n 0) into 0
5.426 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.427 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.427 * [backup-simplify]: Simplify (exp 0) into 1
5.427 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.427 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.427 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.427 * [taylor]: Taking taylor expansion of n in i
5.427 * [backup-simplify]: Simplify n into n
5.427 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.427 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.427 * [taylor]: Taking taylor expansion of (/ i n) in i
5.427 * [taylor]: Taking taylor expansion of i in i
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 1 into 1
5.427 * [taylor]: Taking taylor expansion of n in i
5.427 * [backup-simplify]: Simplify n into n
5.427 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.427 * [taylor]: Taking taylor expansion of 1 in i
5.427 * [backup-simplify]: Simplify 1 into 1
5.427 * [backup-simplify]: Simplify (+ 0 1) into 1
5.428 * [backup-simplify]: Simplify (log 1) into 0
5.428 * [backup-simplify]: Simplify (* n 0) into 0
5.428 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.428 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.428 * [backup-simplify]: Simplify (exp 0) into 1
5.428 * [taylor]: Taking taylor expansion of 1 in n
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.429 * [taylor]: Taking taylor expansion of 1 in n
5.429 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify 0 into 0
5.429 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
5.429 * [backup-simplify]: Simplify (+ 0 0) into 0
5.430 * [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))
5.431 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
5.431 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
5.431 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
5.431 * [taylor]: Taking taylor expansion of 1/2 in n
5.431 * [backup-simplify]: Simplify 1/2 into 1/2
5.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
5.431 * [taylor]: Taking taylor expansion of 1/2 in n
5.431 * [backup-simplify]: Simplify 1/2 into 1/2
5.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.431 * [taylor]: Taking taylor expansion of n in n
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 1 into 1
5.432 * [backup-simplify]: Simplify (/ 1 1) into 1
5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.433 * [backup-simplify]: Simplify (- 0) into 0
5.433 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.433 * [backup-simplify]: Simplify 1/2 into 1/2
5.433 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1))
5.433 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n))
5.433 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0
5.433 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
5.433 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
5.433 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
5.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.433 * [taylor]: Taking taylor expansion of n in n
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify 1 into 1
5.434 * [backup-simplify]: Simplify (/ 1 1) into 1
5.434 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.434 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.434 * [taylor]: Taking taylor expansion of (/ n i) in n
5.434 * [taylor]: Taking taylor expansion of n in n
5.434 * [backup-simplify]: Simplify 0 into 0
5.434 * [backup-simplify]: Simplify 1 into 1
5.434 * [taylor]: Taking taylor expansion of i in n
5.434 * [backup-simplify]: Simplify i into i
5.434 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.434 * [taylor]: Taking taylor expansion of 1 in n
5.434 * [backup-simplify]: Simplify 1 into 1
5.434 * [backup-simplify]: Simplify (+ 0 1) into 1
5.434 * [backup-simplify]: Simplify (log 1) into 0
5.435 * [backup-simplify]: Simplify (* 1 0) into 0
5.435 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
5.436 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
5.436 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.436 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.436 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.436 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.436 * [taylor]: Taking taylor expansion of n in i
5.436 * [backup-simplify]: Simplify n into n
5.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.436 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.436 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.436 * [taylor]: Taking taylor expansion of (/ n i) in i
5.436 * [taylor]: Taking taylor expansion of n in i
5.436 * [backup-simplify]: Simplify n into n
5.436 * [taylor]: Taking taylor expansion of i in i
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 1 into 1
5.436 * [backup-simplify]: Simplify (/ n 1) into n
5.436 * [taylor]: Taking taylor expansion of 1 in i
5.436 * [backup-simplify]: Simplify 1 into 1
5.436 * [backup-simplify]: Simplify (+ n 0) into n
5.436 * [backup-simplify]: Simplify (log n) into (log n)
5.437 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.437 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.437 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.437 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.437 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.437 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.437 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.437 * [taylor]: Taking taylor expansion of n in i
5.437 * [backup-simplify]: Simplify n into n
5.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.437 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.437 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.437 * [taylor]: Taking taylor expansion of (/ n i) in i
5.437 * [taylor]: Taking taylor expansion of n in i
5.437 * [backup-simplify]: Simplify n into n
5.437 * [taylor]: Taking taylor expansion of i in i
5.437 * [backup-simplify]: Simplify 0 into 0
5.437 * [backup-simplify]: Simplify 1 into 1
5.437 * [backup-simplify]: Simplify (/ n 1) into n
5.437 * [taylor]: Taking taylor expansion of 1 in i
5.437 * [backup-simplify]: Simplify 1 into 1
5.437 * [backup-simplify]: Simplify (+ n 0) into n
5.437 * [backup-simplify]: Simplify (log n) into (log n)
5.437 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.437 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.437 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.438 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.438 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.438 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.438 * [taylor]: Taking taylor expansion of (log n) in n
5.438 * [taylor]: Taking taylor expansion of n in n
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 1 into 1
5.438 * [backup-simplify]: Simplify (log 1) into 0
5.438 * [taylor]: Taking taylor expansion of (log i) in n
5.438 * [taylor]: Taking taylor expansion of i in n
5.438 * [backup-simplify]: Simplify i into i
5.438 * [backup-simplify]: Simplify (log i) into (log i)
5.438 * [taylor]: Taking taylor expansion of n in n
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 1 into 1
5.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.438 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.438 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.438 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.439 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.439 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.439 * [backup-simplify]: Simplify (+ 0 1) into 1
5.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.440 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.440 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.440 * [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))
5.440 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
5.441 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.441 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.441 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.441 * [taylor]: Taking taylor expansion of (log n) in n
5.441 * [taylor]: Taking taylor expansion of n in n
5.441 * [backup-simplify]: Simplify 0 into 0
5.441 * [backup-simplify]: Simplify 1 into 1
5.441 * [backup-simplify]: Simplify (log 1) into 0
5.441 * [taylor]: Taking taylor expansion of (log i) in n
5.441 * [taylor]: Taking taylor expansion of i in n
5.441 * [backup-simplify]: Simplify i into i
5.441 * [backup-simplify]: Simplify (log i) into (log i)
5.441 * [taylor]: Taking taylor expansion of n in n
5.441 * [backup-simplify]: Simplify 0 into 0
5.441 * [backup-simplify]: Simplify 1 into 1
5.441 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.441 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.441 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.441 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.441 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.441 * [taylor]: Taking taylor expansion of (pow n 2) in n
5.441 * [taylor]: Taking taylor expansion of n in n
5.442 * [backup-simplify]: Simplify 0 into 0
5.442 * [backup-simplify]: Simplify 1 into 1
5.442 * [backup-simplify]: Simplify (* 1 1) into 1
5.442 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.444 * [backup-simplify]: Simplify 0 into 0
5.444 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.446 * [backup-simplify]: Simplify (+ 0 0) into 0
5.446 * [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))
5.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 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) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3))))
5.447 * [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)))
5.447 * [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
5.447 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n
5.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
5.447 * [taylor]: Taking taylor expansion of 1/2 in n
5.447 * [backup-simplify]: Simplify 1/2 into 1/2
5.447 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
5.447 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.447 * [taylor]: Taking taylor expansion of n in n
5.447 * [backup-simplify]: Simplify 0 into 0
5.447 * [backup-simplify]: Simplify 1 into 1
5.448 * [backup-simplify]: Simplify (* 1 1) into 1
5.448 * [backup-simplify]: Simplify (* 1 1) into 1
5.448 * [backup-simplify]: Simplify (/ 1 1) into 1
5.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
5.448 * [taylor]: Taking taylor expansion of 1/2 in n
5.448 * [backup-simplify]: Simplify 1/2 into 1/2
5.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
5.448 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.448 * [taylor]: Taking taylor expansion of n in n
5.448 * [backup-simplify]: Simplify 0 into 0
5.448 * [backup-simplify]: Simplify 1 into 1
5.449 * [backup-simplify]: Simplify (* 1 1) into 1
5.449 * [backup-simplify]: Simplify (* 1 1) into 1
5.449 * [backup-simplify]: Simplify (/ 1 1) into 1
5.449 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.449 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.449 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.449 * [taylor]: Taking taylor expansion of (log n) in n
5.449 * [taylor]: Taking taylor expansion of n in n
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify 1 into 1
5.449 * [backup-simplify]: Simplify (log 1) into 0
5.449 * [taylor]: Taking taylor expansion of (log i) in n
5.449 * [taylor]: Taking taylor expansion of i in n
5.449 * [backup-simplify]: Simplify i into i
5.449 * [backup-simplify]: Simplify (log i) into (log i)
5.449 * [taylor]: Taking taylor expansion of n in n
5.450 * [backup-simplify]: Simplify 0 into 0
5.450 * [backup-simplify]: Simplify 1 into 1
5.450 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.450 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.450 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.450 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.450 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.450 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.451 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.453 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.453 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.457 * [backup-simplify]: Simplify (- 0) into 0
5.457 * [backup-simplify]: Simplify (+ 0 0) into 0
5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.462 * [backup-simplify]: Simplify (- 0) into 0
5.462 * [backup-simplify]: Simplify (+ 0 0) into 0
5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.468 * [backup-simplify]: Simplify (- 0) into 0
5.468 * [backup-simplify]: Simplify (+ 0 0) into 0
5.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.469 * [backup-simplify]: Simplify 0 into 0
5.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (+ 0 0) into 0
5.477 * [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))
5.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.478 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.478 * [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)))
5.479 * [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)))))
5.479 * [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
5.479 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.479 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.479 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.479 * [taylor]: Taking taylor expansion of (log n) in n
5.479 * [taylor]: Taking taylor expansion of n in n
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify 1 into 1
5.480 * [backup-simplify]: Simplify (log 1) into 0
5.480 * [taylor]: Taking taylor expansion of (log i) in n
5.480 * [taylor]: Taking taylor expansion of i in n
5.480 * [backup-simplify]: Simplify i into i
5.480 * [backup-simplify]: Simplify (log i) into (log i)
5.480 * [taylor]: Taking taylor expansion of n in n
5.480 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify 1 into 1
5.480 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.480 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.481 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.481 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.481 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.481 * [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
5.481 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n
5.481 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
5.481 * [taylor]: Taking taylor expansion of 1/6 in n
5.481 * [backup-simplify]: Simplify 1/6 into 1/6
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
5.481 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.481 * [taylor]: Taking taylor expansion of n in n
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [backup-simplify]: Simplify (* 1 1) into 1
5.482 * [backup-simplify]: Simplify (* 1 1) into 1
5.482 * [backup-simplify]: Simplify (* 1 1) into 1
5.483 * [backup-simplify]: Simplify (/ 1 1) into 1
5.483 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
5.483 * [taylor]: Taking taylor expansion of 1/3 in n
5.483 * [backup-simplify]: Simplify 1/3 into 1/3
5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
5.483 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.483 * [taylor]: Taking taylor expansion of n in n
5.483 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify 1 into 1
5.483 * [backup-simplify]: Simplify (* 1 1) into 1
5.484 * [backup-simplify]: Simplify (* 1 1) into 1
5.484 * [backup-simplify]: Simplify (/ 1 1) into 1
5.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
5.484 * [taylor]: Taking taylor expansion of 1/2 in n
5.484 * [backup-simplify]: Simplify 1/2 into 1/2
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
5.484 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.484 * [taylor]: Taking taylor expansion of n in n
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.486 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.513 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 0) into 0
5.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.524 * [backup-simplify]: Simplify (+ (* 1 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 1))) into 0
5.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.543 * [backup-simplify]: Simplify (- 0) into 0
5.543 * [backup-simplify]: Simplify (+ 0 0) into 0
5.545 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.546 * [backup-simplify]: Simplify (+ 0 0) into 0
5.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.548 * [backup-simplify]: Simplify (- 0) into 0
5.548 * [backup-simplify]: Simplify (+ 0 0) into 0
5.550 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
5.551 * [backup-simplify]: Simplify (+ 0 0) into 0
5.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.552 * [backup-simplify]: Simplify (- 0) into 0
5.553 * [backup-simplify]: Simplify (+ 0 0) into 0
5.554 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
5.555 * [backup-simplify]: Simplify (+ 0 0) into 0
5.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.556 * [backup-simplify]: Simplify (- 0) into 0
5.557 * [backup-simplify]: Simplify (+ 0 0) into 0
5.558 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
5.558 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
5.559 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
5.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.560 * [backup-simplify]: Simplify (- 0) into 0
5.560 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
5.561 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
5.561 * [backup-simplify]: Simplify (+ 0 0) into 0
5.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.562 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.562 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.563 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
5.563 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
5.564 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
5.565 * [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
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
5.566 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n))
5.566 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0
5.566 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
5.566 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
5.566 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
5.566 * [taylor]: Taking taylor expansion of (/ -1 n) in n
5.566 * [taylor]: Taking taylor expansion of -1 in n
5.566 * [backup-simplify]: Simplify -1 into -1
5.566 * [taylor]: Taking taylor expansion of n in n
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify 1 into 1
5.567 * [backup-simplify]: Simplify (/ -1 1) into -1
5.567 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.567 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.567 * [taylor]: Taking taylor expansion of (/ n i) in n
5.567 * [taylor]: Taking taylor expansion of n in n
5.567 * [backup-simplify]: Simplify 0 into 0
5.567 * [backup-simplify]: Simplify 1 into 1
5.567 * [taylor]: Taking taylor expansion of i in n
5.567 * [backup-simplify]: Simplify i into i
5.567 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.567 * [taylor]: Taking taylor expansion of 1 in n
5.567 * [backup-simplify]: Simplify 1 into 1
5.567 * [backup-simplify]: Simplify (+ 0 1) into 1
5.568 * [backup-simplify]: Simplify (log 1) into 0
5.568 * [backup-simplify]: Simplify (* -1 0) into 0
5.568 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.570 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
5.570 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
5.570 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.570 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.570 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.570 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.570 * [taylor]: Taking taylor expansion of -1 in i
5.570 * [backup-simplify]: Simplify -1 into -1
5.570 * [taylor]: Taking taylor expansion of n in i
5.570 * [backup-simplify]: Simplify n into n
5.570 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.571 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.571 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.571 * [taylor]: Taking taylor expansion of (/ n i) in i
5.571 * [taylor]: Taking taylor expansion of n in i
5.571 * [backup-simplify]: Simplify n into n
5.571 * [taylor]: Taking taylor expansion of i in i
5.571 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify 1 into 1
5.571 * [backup-simplify]: Simplify (/ n 1) into n
5.571 * [taylor]: Taking taylor expansion of 1 in i
5.571 * [backup-simplify]: Simplify 1 into 1
5.571 * [backup-simplify]: Simplify (+ n 0) into n
5.571 * [backup-simplify]: Simplify (log n) into (log n)
5.571 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.571 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.572 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.572 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.572 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.572 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.572 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.572 * [taylor]: Taking taylor expansion of -1 in i
5.572 * [backup-simplify]: Simplify -1 into -1
5.572 * [taylor]: Taking taylor expansion of n in i
5.572 * [backup-simplify]: Simplify n into n
5.572 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.572 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.572 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.572 * [taylor]: Taking taylor expansion of (/ n i) in i
5.572 * [taylor]: Taking taylor expansion of n in i
5.572 * [backup-simplify]: Simplify n into n
5.572 * [taylor]: Taking taylor expansion of i in i
5.572 * [backup-simplify]: Simplify 0 into 0
5.572 * [backup-simplify]: Simplify 1 into 1
5.572 * [backup-simplify]: Simplify (/ n 1) into n
5.572 * [taylor]: Taking taylor expansion of 1 in i
5.572 * [backup-simplify]: Simplify 1 into 1
5.572 * [backup-simplify]: Simplify (+ n 0) into n
5.572 * [backup-simplify]: Simplify (log n) into (log n)
5.573 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.573 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.573 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.573 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.573 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.573 * [taylor]: Taking taylor expansion of -1 in n
5.573 * [backup-simplify]: Simplify -1 into -1
5.573 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.573 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.573 * [taylor]: Taking taylor expansion of (log n) in n
5.573 * [taylor]: Taking taylor expansion of n in n
5.573 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify 1 into 1
5.574 * [backup-simplify]: Simplify (log 1) into 0
5.574 * [taylor]: Taking taylor expansion of (log i) in n
5.574 * [taylor]: Taking taylor expansion of i in n
5.574 * [backup-simplify]: Simplify i into i
5.574 * [backup-simplify]: Simplify (log i) into (log i)
5.574 * [taylor]: Taking taylor expansion of n in n
5.574 * [backup-simplify]: Simplify 0 into 0
5.574 * [backup-simplify]: Simplify 1 into 1
5.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.574 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.574 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.574 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.575 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.575 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.575 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (+ 0 1) into 1
5.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.577 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.577 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.577 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.578 * [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)))
5.578 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
5.578 * [taylor]: Taking taylor expansion of -1 in n
5.578 * [backup-simplify]: Simplify -1 into -1
5.578 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
5.578 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.578 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.578 * [taylor]: Taking taylor expansion of -1 in n
5.578 * [backup-simplify]: Simplify -1 into -1
5.578 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.578 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.578 * [taylor]: Taking taylor expansion of (log n) in n
5.578 * [taylor]: Taking taylor expansion of n in n
5.578 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify 1 into 1
5.578 * [backup-simplify]: Simplify (log 1) into 0
5.578 * [taylor]: Taking taylor expansion of (log i) in n
5.579 * [taylor]: Taking taylor expansion of i in n
5.579 * [backup-simplify]: Simplify i into i
5.579 * [backup-simplify]: Simplify (log i) into (log i)
5.579 * [taylor]: Taking taylor expansion of n in n
5.579 * [backup-simplify]: Simplify 0 into 0
5.579 * [backup-simplify]: Simplify 1 into 1
5.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.579 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.579 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.579 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.579 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.580 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.580 * [taylor]: Taking taylor expansion of (pow n 2) in n
5.580 * [taylor]: Taking taylor expansion of n in n
5.580 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify 1 into 1
5.580 * [backup-simplify]: Simplify (* 1 1) into 1
5.580 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
5.585 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify 0 into 0
5.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.587 * [backup-simplify]: Simplify (+ 0 0) into 0
5.588 * [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))
5.588 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.589 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.589 * [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)))
5.590 * [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)))))
5.590 * [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
5.590 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.590 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.590 * [taylor]: Taking taylor expansion of -1 in n
5.590 * [backup-simplify]: Simplify -1 into -1
5.590 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.590 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.590 * [taylor]: Taking taylor expansion of (log n) in n
5.590 * [taylor]: Taking taylor expansion of n in n
5.590 * [backup-simplify]: Simplify 0 into 0
5.590 * [backup-simplify]: Simplify 1 into 1
5.590 * [backup-simplify]: Simplify (log 1) into 0
5.590 * [taylor]: Taking taylor expansion of (log i) in n
5.590 * [taylor]: Taking taylor expansion of i in n
5.590 * [backup-simplify]: Simplify i into i
5.590 * [backup-simplify]: Simplify (log i) into (log i)
5.590 * [taylor]: Taking taylor expansion of n in n
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.591 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.591 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.591 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.591 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.591 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n
5.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
5.592 * [taylor]: Taking taylor expansion of 1/2 in n
5.592 * [backup-simplify]: Simplify 1/2 into 1/2
5.592 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
5.592 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.592 * [taylor]: Taking taylor expansion of n in n
5.592 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify 1 into 1
5.592 * [backup-simplify]: Simplify (* 1 1) into 1
5.592 * [backup-simplify]: Simplify (* 1 1) into 1
5.593 * [backup-simplify]: Simplify (/ 1 1) into 1
5.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
5.593 * [taylor]: Taking taylor expansion of 1/2 in n
5.593 * [backup-simplify]: Simplify 1/2 into 1/2
5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
5.593 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.593 * [taylor]: Taking taylor expansion of n in n
5.593 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify 1 into 1
5.593 * [backup-simplify]: Simplify (* 1 1) into 1
5.594 * [backup-simplify]: Simplify (* 1 1) into 1
5.594 * [backup-simplify]: Simplify (/ 1 1) into 1
5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.616 * [backup-simplify]: Simplify (+ 0 0) into 0
5.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.618 * [backup-simplify]: Simplify (+ 0 0) into 0
5.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.622 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.624 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.625 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
5.626 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0
5.626 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 0 into 0
5.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.632 * [backup-simplify]: Simplify (+ 0 0) into 0
5.634 * [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))
5.635 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.635 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.636 * [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))))
5.636 * [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)))))))
5.636 * [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
5.636 * [taylor]: Taking taylor expansion of -1 in n
5.636 * [backup-simplify]: Simplify -1 into -1
5.636 * [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
5.636 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.637 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.637 * [taylor]: Taking taylor expansion of -1 in n
5.637 * [backup-simplify]: Simplify -1 into -1
5.637 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.637 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.637 * [taylor]: Taking taylor expansion of (log n) in n
5.637 * [taylor]: Taking taylor expansion of n in n
5.637 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify 1 into 1
5.637 * [backup-simplify]: Simplify (log 1) into 0
5.637 * [taylor]: Taking taylor expansion of (log i) in n
5.637 * [taylor]: Taking taylor expansion of i in n
5.637 * [backup-simplify]: Simplify i into i
5.637 * [backup-simplify]: Simplify (log i) into (log i)
5.637 * [taylor]: Taking taylor expansion of n in n
5.637 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify 1 into 1
5.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.638 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.638 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.638 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.638 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.638 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.638 * [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
5.638 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
5.638 * [taylor]: Taking taylor expansion of 1/6 in n
5.638 * [backup-simplify]: Simplify 1/6 into 1/6
5.638 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
5.638 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.638 * [taylor]: Taking taylor expansion of n in n
5.638 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify 1 into 1
5.639 * [backup-simplify]: Simplify (* 1 1) into 1
5.639 * [backup-simplify]: Simplify (* 1 1) into 1
5.640 * [backup-simplify]: Simplify (* 1 1) into 1
5.640 * [backup-simplify]: Simplify (/ 1 1) into 1
5.640 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n
5.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
5.640 * [taylor]: Taking taylor expansion of 1/2 in n
5.640 * [backup-simplify]: Simplify 1/2 into 1/2
5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
5.640 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.640 * [taylor]: Taking taylor expansion of n in n
5.640 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify 1 into 1
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.642 * [backup-simplify]: Simplify (/ 1 1) into 1
5.642 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
5.642 * [taylor]: Taking taylor expansion of 1/3 in n
5.642 * [backup-simplify]: Simplify 1/3 into 1/3
5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
5.642 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.642 * [taylor]: Taking taylor expansion of n in n
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [backup-simplify]: Simplify 1 into 1
5.642 * [backup-simplify]: Simplify (* 1 1) into 1
5.643 * [backup-simplify]: Simplify (* 1 1) into 1
5.643 * [backup-simplify]: Simplify (/ 1 1) into 1
5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.667 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.687 * [backup-simplify]: Simplify (+ 0 0) into 0
5.688 * [backup-simplify]: Simplify (+ 0 0) into 0
5.689 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.690 * [backup-simplify]: Simplify (+ 0 0) into 0
5.690 * [backup-simplify]: Simplify (+ 0 0) into 0
5.691 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
5.692 * [backup-simplify]: Simplify (+ 0 0) into 0
5.693 * [backup-simplify]: Simplify (+ 0 0) into 0
5.693 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.695 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
5.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.696 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
5.696 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
5.697 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
5.698 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
5.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.698 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.699 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
5.699 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
5.700 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
5.702 * [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
5.703 * [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
5.705 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0
5.706 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0
5.707 * [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))))
5.708 * [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))))
5.708 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))
5.710 * [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
5.710 * [backup-simplify]: Simplify 0 into 0
5.711 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
5.711 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
5.711 * [backup-simplify]: Simplify (- (pow (+ 1 (/ i n)) n) 1) into (- (pow (+ (/ i n) 1) n) 1)
5.711 * [approximate]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in (i n) around 0
5.711 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
5.711 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
5.711 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
5.711 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
5.711 * [taylor]: Taking taylor expansion of n in n
5.711 * [backup-simplify]: Simplify 0 into 0
5.711 * [backup-simplify]: Simplify 1 into 1
5.711 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
5.711 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
5.711 * [taylor]: Taking taylor expansion of (/ i n) in n
5.711 * [taylor]: Taking taylor expansion of i in n
5.711 * [backup-simplify]: Simplify i into i
5.711 * [taylor]: Taking taylor expansion of n in n
5.711 * [backup-simplify]: Simplify 0 into 0
5.711 * [backup-simplify]: Simplify 1 into 1
5.711 * [backup-simplify]: Simplify (/ i 1) into i
5.711 * [taylor]: Taking taylor expansion of 1 in n
5.712 * [backup-simplify]: Simplify 1 into 1
5.712 * [backup-simplify]: Simplify (+ i 0) into i
5.712 * [backup-simplify]: Simplify (log i) into (log i)
5.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.712 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
5.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
5.714 * [backup-simplify]: Simplify (+ 0 1) into 1
5.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
5.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.715 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
5.715 * [backup-simplify]: Simplify (exp 0) into 1
5.715 * [taylor]: Taking taylor expansion of 1 in n
5.715 * [backup-simplify]: Simplify 1 into 1
5.715 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.715 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.715 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.715 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.715 * [taylor]: Taking taylor expansion of n in i
5.715 * [backup-simplify]: Simplify n into n
5.715 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.715 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.715 * [taylor]: Taking taylor expansion of (/ i n) in i
5.715 * [taylor]: Taking taylor expansion of i in i
5.715 * [backup-simplify]: Simplify 0 into 0
5.716 * [backup-simplify]: Simplify 1 into 1
5.716 * [taylor]: Taking taylor expansion of n in i
5.716 * [backup-simplify]: Simplify n into n
5.716 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.716 * [taylor]: Taking taylor expansion of 1 in i
5.716 * [backup-simplify]: Simplify 1 into 1
5.716 * [backup-simplify]: Simplify (+ 0 1) into 1
5.717 * [backup-simplify]: Simplify (log 1) into 0
5.717 * [backup-simplify]: Simplify (* n 0) into 0
5.717 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.718 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.718 * [backup-simplify]: Simplify (exp 0) into 1
5.718 * [taylor]: Taking taylor expansion of 1 in i
5.718 * [backup-simplify]: Simplify 1 into 1
5.718 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
5.718 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
5.718 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
5.718 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
5.718 * [taylor]: Taking taylor expansion of n in i
5.718 * [backup-simplify]: Simplify n into n
5.718 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
5.718 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
5.718 * [taylor]: Taking taylor expansion of (/ i n) in i
5.718 * [taylor]: Taking taylor expansion of i in i
5.718 * [backup-simplify]: Simplify 0 into 0
5.718 * [backup-simplify]: Simplify 1 into 1
5.718 * [taylor]: Taking taylor expansion of n in i
5.718 * [backup-simplify]: Simplify n into n
5.718 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.718 * [taylor]: Taking taylor expansion of 1 in i
5.718 * [backup-simplify]: Simplify 1 into 1
5.719 * [backup-simplify]: Simplify (+ 0 1) into 1
5.719 * [backup-simplify]: Simplify (log 1) into 0
5.719 * [backup-simplify]: Simplify (* n 0) into 0
5.719 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
5.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
5.720 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
5.720 * [backup-simplify]: Simplify (exp 0) into 1
5.720 * [taylor]: Taking taylor expansion of 1 in i
5.720 * [backup-simplify]: Simplify 1 into 1
5.720 * [backup-simplify]: Simplify (- 1) into -1
5.721 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.721 * [taylor]: Taking taylor expansion of 0 in n
5.721 * [backup-simplify]: Simplify 0 into 0
5.721 * [backup-simplify]: Simplify 0 into 0
5.722 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
5.722 * [backup-simplify]: Simplify (- 0) into 0
5.723 * [backup-simplify]: Simplify (+ 1 0) into 1
5.723 * [taylor]: Taking taylor expansion of 1 in n
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify 0 into 0
5.723 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
5.723 * [backup-simplify]: Simplify (+ 0 0) into 0
5.725 * [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))
5.725 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
5.726 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
5.726 * [backup-simplify]: Simplify (- 0) into 0
5.726 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
5.727 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
5.727 * [taylor]: Taking taylor expansion of 1/2 in n
5.727 * [backup-simplify]: Simplify 1/2 into 1/2
5.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
5.727 * [taylor]: Taking taylor expansion of 1/2 in n
5.727 * [backup-simplify]: Simplify 1/2 into 1/2
5.727 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.727 * [taylor]: Taking taylor expansion of n in n
5.727 * [backup-simplify]: Simplify 0 into 0
5.727 * [backup-simplify]: Simplify 1 into 1
5.727 * [backup-simplify]: Simplify (/ 1 1) into 1
5.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.729 * [backup-simplify]: Simplify (- 0) into 0
5.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.729 * [backup-simplify]: Simplify 1/2 into 1/2
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.730 * [backup-simplify]: Simplify (+ 0 0) into 0
5.732 * [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))
5.733 * [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)))
5.734 * [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)))
5.735 * [backup-simplify]: Simplify (- 0) into 0
5.735 * [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)))
5.735 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n
5.735 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n
5.735 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
5.735 * [taylor]: Taking taylor expansion of 1/3 in n
5.735 * [backup-simplify]: Simplify 1/3 into 1/3
5.735 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
5.735 * [taylor]: Taking taylor expansion of (pow n 2) in n
5.735 * [taylor]: Taking taylor expansion of n in n
5.735 * [backup-simplify]: Simplify 0 into 0
5.735 * [backup-simplify]: Simplify 1 into 1
5.735 * [backup-simplify]: Simplify (* 1 1) into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [taylor]: Taking taylor expansion of 1/6 in n
5.736 * [backup-simplify]: Simplify 1/6 into 1/6
5.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
5.736 * [taylor]: Taking taylor expansion of 1/2 in n
5.736 * [backup-simplify]: Simplify 1/2 into 1/2
5.736 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.736 * [taylor]: Taking taylor expansion of n in n
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 1 into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
5.742 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
5.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.744 * [backup-simplify]: Simplify (- 0) into 0
5.744 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
5.744 * [backup-simplify]: Simplify 1/6 into 1/6
5.745 * [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))))
5.745 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) into (- (pow (+ (/ n i) 1) (/ 1 n)) 1)
5.745 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in (i n) around 0
5.745 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
5.745 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
5.745 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
5.745 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
5.745 * [taylor]: Taking taylor expansion of (/ 1 n) in n
5.745 * [taylor]: Taking taylor expansion of n in n
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify 1 into 1
5.745 * [backup-simplify]: Simplify (/ 1 1) into 1
5.745 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.745 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.745 * [taylor]: Taking taylor expansion of (/ n i) in n
5.745 * [taylor]: Taking taylor expansion of n in n
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify 1 into 1
5.745 * [taylor]: Taking taylor expansion of i in n
5.746 * [backup-simplify]: Simplify i into i
5.746 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.746 * [taylor]: Taking taylor expansion of 1 in n
5.746 * [backup-simplify]: Simplify 1 into 1
5.746 * [backup-simplify]: Simplify (+ 0 1) into 1
5.746 * [backup-simplify]: Simplify (log 1) into 0
5.747 * [backup-simplify]: Simplify (* 1 0) into 0
5.747 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.748 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
5.748 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
5.748 * [taylor]: Taking taylor expansion of 1 in n
5.748 * [backup-simplify]: Simplify 1 into 1
5.748 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.749 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.749 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.749 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.749 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.749 * [taylor]: Taking taylor expansion of n in i
5.749 * [backup-simplify]: Simplify n into n
5.749 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.749 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.749 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.749 * [taylor]: Taking taylor expansion of (/ n i) in i
5.749 * [taylor]: Taking taylor expansion of n in i
5.749 * [backup-simplify]: Simplify n into n
5.749 * [taylor]: Taking taylor expansion of i in i
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify 1 into 1
5.749 * [backup-simplify]: Simplify (/ n 1) into n
5.749 * [taylor]: Taking taylor expansion of 1 in i
5.749 * [backup-simplify]: Simplify 1 into 1
5.749 * [backup-simplify]: Simplify (+ n 0) into n
5.749 * [backup-simplify]: Simplify (log n) into (log n)
5.749 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.750 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.750 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.750 * [taylor]: Taking taylor expansion of 1 in i
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
5.750 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
5.750 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
5.750 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
5.750 * [taylor]: Taking taylor expansion of (/ 1 n) in i
5.750 * [taylor]: Taking taylor expansion of n in i
5.750 * [backup-simplify]: Simplify n into n
5.750 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
5.750 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.750 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.750 * [taylor]: Taking taylor expansion of (/ n i) in i
5.750 * [taylor]: Taking taylor expansion of n in i
5.750 * [backup-simplify]: Simplify n into n
5.750 * [taylor]: Taking taylor expansion of i in i
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (/ n 1) into n
5.750 * [taylor]: Taking taylor expansion of 1 in i
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (+ n 0) into n
5.750 * [backup-simplify]: Simplify (log n) into (log n)
5.751 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.751 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
5.751 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.751 * [taylor]: Taking taylor expansion of 1 in i
5.751 * [backup-simplify]: Simplify 1 into 1
5.751 * [backup-simplify]: Simplify (- 1) into -1
5.751 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.751 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
5.751 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.752 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.752 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.752 * [taylor]: Taking taylor expansion of (log n) in n
5.752 * [taylor]: Taking taylor expansion of n in n
5.752 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify 1 into 1
5.752 * [backup-simplify]: Simplify (log 1) into 0
5.752 * [taylor]: Taking taylor expansion of (log i) in n
5.752 * [taylor]: Taking taylor expansion of i in n
5.752 * [backup-simplify]: Simplify i into i
5.752 * [backup-simplify]: Simplify (log i) into (log i)
5.752 * [taylor]: Taking taylor expansion of n in n
5.752 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify 1 into 1
5.753 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.753 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.753 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.753 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.753 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.753 * [taylor]: Taking taylor expansion of 1 in n
5.753 * [backup-simplify]: Simplify 1 into 1
5.753 * [backup-simplify]: Simplify (- 1) into -1
5.753 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.753 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
5.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.755 * [backup-simplify]: Simplify (+ 0 1) into 1
5.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
5.756 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.756 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
5.756 * [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))
5.757 * [backup-simplify]: Simplify (- 0) into 0
5.757 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
5.757 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
5.757 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.757 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.757 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.757 * [taylor]: Taking taylor expansion of (log n) in n
5.757 * [taylor]: Taking taylor expansion of n in n
5.757 * [backup-simplify]: Simplify 0 into 0
5.757 * [backup-simplify]: Simplify 1 into 1
5.757 * [backup-simplify]: Simplify (log 1) into 0
5.757 * [taylor]: Taking taylor expansion of (log i) in n
5.757 * [taylor]: Taking taylor expansion of i in n
5.757 * [backup-simplify]: Simplify i into i
5.757 * [backup-simplify]: Simplify (log i) into (log i)
5.757 * [taylor]: Taking taylor expansion of n in n
5.757 * [backup-simplify]: Simplify 0 into 0
5.757 * [backup-simplify]: Simplify 1 into 1
5.758 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.758 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.758 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.758 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.758 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.758 * [taylor]: Taking taylor expansion of (pow n 2) in n
5.758 * [taylor]: Taking taylor expansion of n in n
5.758 * [backup-simplify]: Simplify 0 into 0
5.758 * [backup-simplify]: Simplify 1 into 1
5.759 * [backup-simplify]: Simplify (* 1 1) into 1
5.759 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify 0 into 0
5.763 * [backup-simplify]: Simplify (- 0) into 0
5.763 * [backup-simplify]: Simplify (+ 0 0) into 0
5.763 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.765 * [backup-simplify]: Simplify (+ 0 0) into 0
5.767 * [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))
5.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.767 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.768 * [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))))
5.768 * [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)))
5.768 * [backup-simplify]: Simplify (- 0) into 0
5.769 * [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))))
5.769 * [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
5.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
5.769 * [taylor]: Taking taylor expansion of 1/2 in n
5.769 * [backup-simplify]: Simplify 1/2 into 1/2
5.769 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
5.769 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.769 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.769 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.769 * [taylor]: Taking taylor expansion of (log n) in n
5.769 * [taylor]: Taking taylor expansion of n in n
5.769 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify 1 into 1
5.769 * [backup-simplify]: Simplify (log 1) into 0
5.769 * [taylor]: Taking taylor expansion of (log i) in n
5.769 * [taylor]: Taking taylor expansion of i in n
5.769 * [backup-simplify]: Simplify i into i
5.769 * [backup-simplify]: Simplify (log i) into (log i)
5.769 * [taylor]: Taking taylor expansion of n in n
5.770 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify 1 into 1
5.770 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.770 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.770 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.770 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.770 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.770 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.770 * [taylor]: Taking taylor expansion of n in n
5.770 * [backup-simplify]: Simplify 0 into 0
5.770 * [backup-simplify]: Simplify 1 into 1
5.771 * [backup-simplify]: Simplify (* 1 1) into 1
5.771 * [backup-simplify]: Simplify (* 1 1) into 1
5.771 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
5.771 * [taylor]: Taking taylor expansion of 1/2 in n
5.771 * [backup-simplify]: Simplify 1/2 into 1/2
5.771 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
5.771 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.771 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.771 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.771 * [taylor]: Taking taylor expansion of (log n) in n
5.771 * [taylor]: Taking taylor expansion of n in n
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify 1 into 1
5.772 * [backup-simplify]: Simplify (log 1) into 0
5.772 * [taylor]: Taking taylor expansion of (log i) in n
5.772 * [taylor]: Taking taylor expansion of i in n
5.772 * [backup-simplify]: Simplify i into i
5.772 * [backup-simplify]: Simplify (log i) into (log i)
5.772 * [taylor]: Taking taylor expansion of n in n
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.772 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.772 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.773 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.773 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.773 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.773 * [taylor]: Taking taylor expansion of n in n
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (* 1 1) into 1
5.773 * [backup-simplify]: Simplify (* 1 1) into 1
5.773 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
5.797 * [backup-simplify]: Simplify (- 0) into 0
5.798 * [backup-simplify]: Simplify (+ 0 0) into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify (- 0) into 0
5.801 * [backup-simplify]: Simplify (+ 0 0) into 0
5.801 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify (+ 0 0) into 0
5.805 * [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))
5.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.806 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.806 * [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)))
5.807 * [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)))))
5.807 * [backup-simplify]: Simplify (- 0) into 0
5.807 * [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))))
5.808 * [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
5.808 * [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
5.808 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
5.808 * [taylor]: Taking taylor expansion of 1/3 in n
5.808 * [backup-simplify]: Simplify 1/3 into 1/3
5.808 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
5.808 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.808 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.808 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.808 * [taylor]: Taking taylor expansion of (log n) in n
5.808 * [taylor]: Taking taylor expansion of n in n
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 1 into 1
5.808 * [backup-simplify]: Simplify (log 1) into 0
5.808 * [taylor]: Taking taylor expansion of (log i) in n
5.808 * [taylor]: Taking taylor expansion of i in n
5.808 * [backup-simplify]: Simplify i into i
5.808 * [backup-simplify]: Simplify (log i) into (log i)
5.808 * [taylor]: Taking taylor expansion of n in n
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.809 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.809 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.809 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.809 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.809 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.809 * [taylor]: Taking taylor expansion of n in n
5.809 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (* 1 1) into 1
5.810 * [backup-simplify]: Simplify (* 1 1) into 1
5.810 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.810 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
5.810 * [taylor]: Taking taylor expansion of 1/6 in n
5.810 * [backup-simplify]: Simplify 1/6 into 1/6
5.810 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
5.810 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.810 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.810 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.810 * [taylor]: Taking taylor expansion of (log n) in n
5.810 * [taylor]: Taking taylor expansion of n in n
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 1 into 1
5.811 * [backup-simplify]: Simplify (log 1) into 0
5.811 * [taylor]: Taking taylor expansion of (log i) in n
5.811 * [taylor]: Taking taylor expansion of i in n
5.811 * [backup-simplify]: Simplify i into i
5.811 * [backup-simplify]: Simplify (log i) into (log i)
5.811 * [taylor]: Taking taylor expansion of n in n
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 1 into 1
5.811 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.811 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.811 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.811 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.811 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.811 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.811 * [taylor]: Taking taylor expansion of n in n
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (* 1 1) into 1
5.812 * [backup-simplify]: Simplify (* 1 1) into 1
5.812 * [backup-simplify]: Simplify (* 1 1) into 1
5.813 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
5.813 * [taylor]: Taking taylor expansion of 1/2 in n
5.813 * [backup-simplify]: Simplify 1/2 into 1/2
5.813 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
5.813 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
5.813 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.813 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.813 * [taylor]: Taking taylor expansion of (log n) in n
5.813 * [taylor]: Taking taylor expansion of n in n
5.813 * [backup-simplify]: Simplify 0 into 0
5.813 * [backup-simplify]: Simplify 1 into 1
5.813 * [backup-simplify]: Simplify (log 1) into 0
5.813 * [taylor]: Taking taylor expansion of (log i) in n
5.813 * [taylor]: Taking taylor expansion of i in n
5.813 * [backup-simplify]: Simplify i into i
5.813 * [backup-simplify]: Simplify (log i) into (log i)
5.813 * [taylor]: Taking taylor expansion of n in n
5.813 * [backup-simplify]: Simplify 0 into 0
5.813 * [backup-simplify]: Simplify 1 into 1
5.813 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.813 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.813 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.813 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.814 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
5.814 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.814 * [taylor]: Taking taylor expansion of n in n
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.814 * [backup-simplify]: Simplify (* 1 1) into 1
5.814 * [backup-simplify]: Simplify (* 1 1) into 1
5.814 * [backup-simplify]: Simplify (* 1 1) into 1
5.814 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.843 * [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
5.846 * [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
5.851 * [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
5.851 * [backup-simplify]: Simplify (+ 0 0) into 0
5.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.868 * [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
5.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
5.870 * [backup-simplify]: Simplify (- 0) into 0
5.870 * [backup-simplify]: Simplify (+ 0 0) into 0
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)
5.870 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) into (- (pow (+ (/ n i) 1) (/ -1 n)) 1)
5.870 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in (i n) around 0
5.870 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
5.870 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
5.871 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
5.871 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
5.871 * [taylor]: Taking taylor expansion of (/ -1 n) in n
5.871 * [taylor]: Taking taylor expansion of -1 in n
5.871 * [backup-simplify]: Simplify -1 into -1
5.871 * [taylor]: Taking taylor expansion of n in n
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (/ -1 1) into -1
5.871 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
5.871 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
5.871 * [taylor]: Taking taylor expansion of (/ n i) in n
5.871 * [taylor]: Taking taylor expansion of n in n
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [taylor]: Taking taylor expansion of i in n
5.871 * [backup-simplify]: Simplify i into i
5.871 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
5.871 * [taylor]: Taking taylor expansion of 1 in n
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (+ 0 1) into 1
5.872 * [backup-simplify]: Simplify (log 1) into 0
5.872 * [backup-simplify]: Simplify (* -1 0) into 0
5.872 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
5.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
5.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.873 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
5.873 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
5.873 * [taylor]: Taking taylor expansion of 1 in n
5.873 * [backup-simplify]: Simplify 1 into 1
5.873 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.873 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.873 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.873 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.873 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.873 * [taylor]: Taking taylor expansion of -1 in i
5.873 * [backup-simplify]: Simplify -1 into -1
5.873 * [taylor]: Taking taylor expansion of n in i
5.873 * [backup-simplify]: Simplify n into n
5.873 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.873 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.873 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.873 * [taylor]: Taking taylor expansion of (/ n i) in i
5.874 * [taylor]: Taking taylor expansion of n in i
5.874 * [backup-simplify]: Simplify n into n
5.874 * [taylor]: Taking taylor expansion of i in i
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (/ n 1) into n
5.874 * [taylor]: Taking taylor expansion of 1 in i
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (+ n 0) into n
5.874 * [backup-simplify]: Simplify (log n) into (log n)
5.874 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.874 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.874 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.874 * [taylor]: Taking taylor expansion of 1 in i
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
5.874 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
5.874 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
5.874 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
5.874 * [taylor]: Taking taylor expansion of (/ -1 n) in i
5.874 * [taylor]: Taking taylor expansion of -1 in i
5.874 * [backup-simplify]: Simplify -1 into -1
5.874 * [taylor]: Taking taylor expansion of n in i
5.874 * [backup-simplify]: Simplify n into n
5.874 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
5.874 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
5.874 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
5.874 * [taylor]: Taking taylor expansion of (/ n i) in i
5.874 * [taylor]: Taking taylor expansion of n in i
5.874 * [backup-simplify]: Simplify n into n
5.874 * [taylor]: Taking taylor expansion of i in i
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (/ n 1) into n
5.875 * [taylor]: Taking taylor expansion of 1 in i
5.875 * [backup-simplify]: Simplify 1 into 1
5.875 * [backup-simplify]: Simplify (+ n 0) into n
5.875 * [backup-simplify]: Simplify (log n) into (log n)
5.875 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.875 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
5.875 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.875 * [taylor]: Taking taylor expansion of 1 in i
5.875 * [backup-simplify]: Simplify 1 into 1
5.875 * [backup-simplify]: Simplify (- 1) into -1
5.875 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.875 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
5.876 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.876 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.876 * [taylor]: Taking taylor expansion of -1 in n
5.876 * [backup-simplify]: Simplify -1 into -1
5.876 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.876 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.876 * [taylor]: Taking taylor expansion of (log n) in n
5.876 * [taylor]: Taking taylor expansion of n in n
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 1 into 1
5.876 * [backup-simplify]: Simplify (log 1) into 0
5.876 * [taylor]: Taking taylor expansion of (log i) in n
5.876 * [taylor]: Taking taylor expansion of i in n
5.876 * [backup-simplify]: Simplify i into i
5.876 * [backup-simplify]: Simplify (log i) into (log i)
5.876 * [taylor]: Taking taylor expansion of n in n
5.876 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify 1 into 1
5.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.876 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.876 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.876 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.876 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.877 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.877 * [taylor]: Taking taylor expansion of 1 in n
5.877 * [backup-simplify]: Simplify 1 into 1
5.877 * [backup-simplify]: Simplify (- 1) into -1
5.877 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.877 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
5.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (+ 0 1) into 1
5.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
5.878 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
5.879 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.879 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
5.879 * [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)))
5.879 * [backup-simplify]: Simplify (- 0) into 0
5.879 * [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)))
5.879 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
5.879 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
5.879 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.879 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.879 * [taylor]: Taking taylor expansion of -1 in n
5.880 * [backup-simplify]: Simplify -1 into -1
5.880 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.880 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.880 * [taylor]: Taking taylor expansion of (log n) in n
5.880 * [taylor]: Taking taylor expansion of n in n
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.880 * [backup-simplify]: Simplify (log 1) into 0
5.880 * [taylor]: Taking taylor expansion of (log i) in n
5.880 * [taylor]: Taking taylor expansion of i in n
5.880 * [backup-simplify]: Simplify i into i
5.880 * [backup-simplify]: Simplify (log i) into (log i)
5.880 * [taylor]: Taking taylor expansion of n in n
5.880 * [backup-simplify]: Simplify 0 into 0
5.880 * [backup-simplify]: Simplify 1 into 1
5.880 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.880 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.880 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.880 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.880 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.881 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.881 * [taylor]: Taking taylor expansion of (pow n 2) in n
5.881 * [taylor]: Taking taylor expansion of n in n
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (* 1 1) into 1
5.881 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify (- 0) into 0
5.884 * [backup-simplify]: Simplify 0 into 0
5.884 * [backup-simplify]: Simplify (- 0) into 0
5.884 * [backup-simplify]: Simplify (+ 0 0) into 0
5.884 * [backup-simplify]: Simplify 0 into 0
5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.886 * [backup-simplify]: Simplify (+ 0 0) into 0
5.887 * [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))
5.887 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.888 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.888 * [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)))
5.888 * [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)))))
5.889 * [backup-simplify]: Simplify (- 0) into 0
5.889 * [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))))
5.889 * [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
5.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.889 * [taylor]: Taking taylor expansion of 1/2 in n
5.889 * [backup-simplify]: Simplify 1/2 into 1/2
5.889 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.889 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.889 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.889 * [taylor]: Taking taylor expansion of -1 in n
5.889 * [backup-simplify]: Simplify -1 into -1
5.889 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.890 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.890 * [taylor]: Taking taylor expansion of (log n) in n
5.890 * [taylor]: Taking taylor expansion of n in n
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 1 into 1
5.890 * [backup-simplify]: Simplify (log 1) into 0
5.890 * [taylor]: Taking taylor expansion of (log i) in n
5.890 * [taylor]: Taking taylor expansion of i in n
5.890 * [backup-simplify]: Simplify i into i
5.890 * [backup-simplify]: Simplify (log i) into (log i)
5.890 * [taylor]: Taking taylor expansion of n in n
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.891 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.891 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.891 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.891 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.891 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.891 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.891 * [taylor]: Taking taylor expansion of n in n
5.891 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (* 1 1) into 1
5.892 * [backup-simplify]: Simplify (* 1 1) into 1
5.892 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
5.892 * [taylor]: Taking taylor expansion of 1/2 in n
5.892 * [backup-simplify]: Simplify 1/2 into 1/2
5.892 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
5.892 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.892 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.892 * [taylor]: Taking taylor expansion of -1 in n
5.892 * [backup-simplify]: Simplify -1 into -1
5.892 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.892 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.892 * [taylor]: Taking taylor expansion of (log n) in n
5.892 * [taylor]: Taking taylor expansion of n in n
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.893 * [backup-simplify]: Simplify (log 1) into 0
5.893 * [taylor]: Taking taylor expansion of (log i) in n
5.893 * [taylor]: Taking taylor expansion of i in n
5.893 * [backup-simplify]: Simplify i into i
5.893 * [backup-simplify]: Simplify (log i) into (log i)
5.893 * [taylor]: Taking taylor expansion of n in n
5.893 * [backup-simplify]: Simplify 0 into 0
5.893 * [backup-simplify]: Simplify 1 into 1
5.893 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.893 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.893 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.894 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.894 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.894 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.894 * [taylor]: Taking taylor expansion of (pow n 3) in n
5.894 * [taylor]: Taking taylor expansion of n in n
5.894 * [backup-simplify]: Simplify 0 into 0
5.894 * [backup-simplify]: Simplify 1 into 1
5.894 * [backup-simplify]: Simplify (* 1 1) into 1
5.895 * [backup-simplify]: Simplify (* 1 1) into 1
5.895 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [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
5.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
5.914 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify 0 into 0
5.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (- 0) into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify (- 0) into 0
5.916 * [backup-simplify]: Simplify (+ 0 0) into 0
5.916 * [backup-simplify]: Simplify 0 into 0
5.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.918 * [backup-simplify]: Simplify (+ 0 0) into 0
5.919 * [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))
5.920 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
5.920 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
5.920 * [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))))
5.921 * [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)))))))
5.921 * [backup-simplify]: Simplify (- 0) into 0
5.921 * [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))))))
5.921 * [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
5.921 * [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
5.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
5.921 * [taylor]: Taking taylor expansion of 1/2 in n
5.921 * [backup-simplify]: Simplify 1/2 into 1/2
5.921 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
5.921 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.921 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.921 * [taylor]: Taking taylor expansion of -1 in n
5.921 * [backup-simplify]: Simplify -1 into -1
5.921 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.921 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.921 * [taylor]: Taking taylor expansion of (log n) in n
5.921 * [taylor]: Taking taylor expansion of n in n
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 1 into 1
5.922 * [backup-simplify]: Simplify (log 1) into 0
5.922 * [taylor]: Taking taylor expansion of (log i) in n
5.922 * [taylor]: Taking taylor expansion of i in n
5.922 * [backup-simplify]: Simplify i into i
5.922 * [backup-simplify]: Simplify (log i) into (log i)
5.922 * [taylor]: Taking taylor expansion of n in n
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 1 into 1
5.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.922 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.922 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.922 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.922 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.922 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.922 * [taylor]: Taking taylor expansion of (pow n 5) in n
5.923 * [taylor]: Taking taylor expansion of n in n
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 1 into 1
5.923 * [backup-simplify]: Simplify (* 1 1) into 1
5.923 * [backup-simplify]: Simplify (* 1 1) into 1
5.923 * [backup-simplify]: Simplify (* 1 1) into 1
5.923 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.923 * [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
5.923 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
5.923 * [taylor]: Taking taylor expansion of 1/6 in n
5.923 * [backup-simplify]: Simplify 1/6 into 1/6
5.923 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
5.923 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.924 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.924 * [taylor]: Taking taylor expansion of -1 in n
5.924 * [backup-simplify]: Simplify -1 into -1
5.924 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.924 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.924 * [taylor]: Taking taylor expansion of (log n) in n
5.924 * [taylor]: Taking taylor expansion of n in n
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (log 1) into 0
5.924 * [taylor]: Taking taylor expansion of (log i) in n
5.924 * [taylor]: Taking taylor expansion of i in n
5.924 * [backup-simplify]: Simplify i into i
5.924 * [backup-simplify]: Simplify (log i) into (log i)
5.924 * [taylor]: Taking taylor expansion of n in n
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.924 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.924 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.924 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.925 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.925 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.925 * [taylor]: Taking taylor expansion of (pow n 6) in n
5.925 * [taylor]: Taking taylor expansion of n in n
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (* 1 1) into 1
5.925 * [backup-simplify]: Simplify (* 1 1) into 1
5.925 * [backup-simplify]: Simplify (* 1 1) into 1
5.926 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.926 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
5.926 * [taylor]: Taking taylor expansion of 1/3 in n
5.926 * [backup-simplify]: Simplify 1/3 into 1/3
5.926 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
5.926 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
5.926 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
5.926 * [taylor]: Taking taylor expansion of -1 in n
5.926 * [backup-simplify]: Simplify -1 into -1
5.926 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
5.926 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
5.926 * [taylor]: Taking taylor expansion of (log n) in n
5.926 * [taylor]: Taking taylor expansion of n in n
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.926 * [backup-simplify]: Simplify (log 1) into 0
5.926 * [taylor]: Taking taylor expansion of (log i) in n
5.926 * [taylor]: Taking taylor expansion of i in n
5.926 * [backup-simplify]: Simplify i into i
5.926 * [backup-simplify]: Simplify (log i) into (log i)
5.926 * [taylor]: Taking taylor expansion of n in n
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 1 into 1
5.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
5.927 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
5.927 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
5.927 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
5.927 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
5.927 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.927 * [taylor]: Taking taylor expansion of (pow n 4) in n
5.927 * [taylor]: Taking taylor expansion of n in n
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify 1 into 1
5.927 * [backup-simplify]: Simplify (* 1 1) into 1
5.928 * [backup-simplify]: Simplify (* 1 1) into 1
5.928 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.949 * [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
5.952 * [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
5.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
5.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.970 * [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
5.972 * [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
5.974 * [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
5.976 * [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
5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.989 * [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
5.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
5.991 * [backup-simplify]: Simplify (+ 0 0) into 0
5.992 * [backup-simplify]: Simplify (+ 0 0) into 0
5.992 * [backup-simplify]: Simplify (- 0) into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)
5.992 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.993 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) into (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i))
5.993 * [approximate]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in (i n) around 0
5.993 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in n
5.993 * [taylor]: Taking taylor expansion of 100 in n
5.993 * [backup-simplify]: Simplify 100 into 100
5.993 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n
5.993 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n
5.993 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
5.993 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
5.993 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
5.993 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
5.993 * [taylor]: Taking taylor expansion of n in n
5.993 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify 1 into 1
5.993 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
5.993 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
5.993 * [taylor]: Taking taylor expansion of (/ i n) in n
5.993 * [taylor]: Taking taylor expansion of i in n
5.993 * [backup-simplify]: Simplify i into i
5.993 * [taylor]: Taking taylor expansion of n in n
5.993 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify 1 into 1
5.993 * [backup-simplify]: Simplify (/ i 1) into i
5.993 * [taylor]: Taking taylor expansion of 1 in n
5.993 * [backup-simplify]: Simplify 1 into 1
5.993 * [backup-simplify]: Simplify (+ i 0) into i
5.993 * [backup-simplify]: Simplify (log i) into (log i)
5.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.993 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
5.994 * [backup-simplify]: Simplify (+ 0 1) into 1
5.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
5.995 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.995 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
5.995 * [backup-simplify]: Simplify (exp 0) into 1
5.995 * [taylor]: Taking taylor expansion of 1 in n
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [taylor]: Taking taylor expansion of n in n
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [taylor]: Taking taylor expansion of i in n
5.995 * [backup-simplify]: Simplify i into i
5.995 * [backup-simplify]: Simplify (- 1) into -1
5.996 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.996 * [backup-simplify]: Simplify (* 0 0) into 0
5.996 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
5.996 * [backup-simplify]: Simplify (- 0) into 0
5.996 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
5.997 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
5.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.998 * [backup-simplify]: Simplify (+ 0 0) into 0
5.999 * [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))
5.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
5.999 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i)
5.999 * [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)))))
6.000 * [backup-simplify]: Simplify (- 0) into 0
6.000 * [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)))))
6.001 * [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))
6.001 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
6.001 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
6.001 * [taylor]: Taking taylor expansion of 100 in i
6.001 * [backup-simplify]: Simplify 100 into 100
6.001 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
6.001 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
6.001 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
6.001 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
6.001 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
6.001 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
6.001 * [taylor]: Taking taylor expansion of n in i
6.001 * [backup-simplify]: Simplify n into n
6.001 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
6.001 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
6.001 * [taylor]: Taking taylor expansion of (/ i n) in i
6.001 * [taylor]: Taking taylor expansion of i in i
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [taylor]: Taking taylor expansion of n in i
6.001 * [backup-simplify]: Simplify n into n
6.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
6.001 * [taylor]: Taking taylor expansion of 1 in i
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [backup-simplify]: Simplify (+ 0 1) into 1
6.002 * [backup-simplify]: Simplify (log 1) into 0
6.002 * [backup-simplify]: Simplify (* n 0) into 0
6.002 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
6.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
6.002 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
6.002 * [backup-simplify]: Simplify (exp 0) into 1
6.002 * [taylor]: Taking taylor expansion of 1 in i
6.002 * [backup-simplify]: Simplify 1 into 1
6.002 * [taylor]: Taking taylor expansion of n in i
6.002 * [backup-simplify]: Simplify n into n
6.002 * [taylor]: Taking taylor expansion of i in i
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 1 into 1
6.003 * [backup-simplify]: Simplify (- 1) into -1
6.003 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.003 * [backup-simplify]: Simplify (* 0 n) into 0
6.004 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.004 * [backup-simplify]: Simplify (- 0) into 0
6.004 * [backup-simplify]: Simplify (+ 1 0) into 1
6.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
6.004 * [backup-simplify]: Simplify (/ n 1) into n
6.004 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
6.004 * [taylor]: Taking taylor expansion of 100 in i
6.004 * [backup-simplify]: Simplify 100 into 100
6.004 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
6.004 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
6.005 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
6.005 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
6.005 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
6.005 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
6.005 * [taylor]: Taking taylor expansion of n in i
6.005 * [backup-simplify]: Simplify n into n
6.005 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
6.005 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
6.005 * [taylor]: Taking taylor expansion of (/ i n) in i
6.005 * [taylor]: Taking taylor expansion of i in i
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [taylor]: Taking taylor expansion of n in i
6.005 * [backup-simplify]: Simplify n into n
6.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
6.005 * [taylor]: Taking taylor expansion of 1 in i
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [backup-simplify]: Simplify (+ 0 1) into 1
6.005 * [backup-simplify]: Simplify (log 1) into 0
6.005 * [backup-simplify]: Simplify (* n 0) into 0
6.005 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
6.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
6.006 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
6.006 * [backup-simplify]: Simplify (exp 0) into 1
6.006 * [taylor]: Taking taylor expansion of 1 in i
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [taylor]: Taking taylor expansion of n in i
6.006 * [backup-simplify]: Simplify n into n
6.006 * [taylor]: Taking taylor expansion of i in i
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (- 1) into -1
6.007 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.007 * [backup-simplify]: Simplify (* 0 n) into 0
6.008 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.008 * [backup-simplify]: Simplify (- 0) into 0
6.008 * [backup-simplify]: Simplify (+ 1 0) into 1
6.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
6.008 * [backup-simplify]: Simplify (/ n 1) into n
6.008 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
6.008 * [taylor]: Taking taylor expansion of (* 100 n) in n
6.008 * [taylor]: Taking taylor expansion of 100 in n
6.009 * [backup-simplify]: Simplify 100 into 100
6.009 * [taylor]: Taking taylor expansion of n in n
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 1 into 1
6.009 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
6.010 * [backup-simplify]: Simplify (+ 0 0) into 0
6.011 * [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))
6.011 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
6.012 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
6.012 * [backup-simplify]: Simplify (- 0) into 0
6.012 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
6.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
6.013 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
6.013 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
6.013 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
6.013 * [taylor]: Taking taylor expansion of (* 50 n) in n
6.013 * [taylor]: Taking taylor expansion of 50 in n
6.013 * [backup-simplify]: Simplify 50 into 50
6.013 * [taylor]: Taking taylor expansion of n in n
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 1 into 1
6.013 * [taylor]: Taking taylor expansion of 50 in n
6.013 * [backup-simplify]: Simplify 50 into 50
6.014 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
6.014 * [backup-simplify]: Simplify (- 0) into 0
6.014 * [backup-simplify]: Simplify (+ 0 0) into 0
6.014 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.016 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [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))
6.018 * [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)))
6.019 * [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)))
6.019 * [backup-simplify]: Simplify (- 0) into 0
6.019 * [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)))
6.020 * [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)
6.021 * [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)
6.021 * [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)
6.021 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
6.021 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
6.021 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
6.021 * [taylor]: Taking taylor expansion of 50/3 in n
6.021 * [backup-simplify]: Simplify 50/3 into 50/3
6.021 * [taylor]: Taking taylor expansion of n in n
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 1 into 1
6.021 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
6.021 * [taylor]: Taking taylor expansion of 100/3 in n
6.021 * [backup-simplify]: Simplify 100/3 into 100/3
6.021 * [taylor]: Taking taylor expansion of (/ 1 n) in n
6.021 * [taylor]: Taking taylor expansion of n in n
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (/ 1 1) into 1
6.021 * [taylor]: Taking taylor expansion of 50 in n
6.021 * [backup-simplify]: Simplify 50 into 50
6.022 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.025 * [backup-simplify]: Simplify (- 0) into 0
6.025 * [backup-simplify]: Simplify (+ 0 0) into 0
6.025 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.027 * [backup-simplify]: Simplify (- 0) into 0
6.027 * [backup-simplify]: Simplify (+ 0 0) into 0
6.027 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [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))
6.029 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in (i n) around 0
6.029 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in n
6.029 * [taylor]: Taking taylor expansion of 100 in n
6.029 * [backup-simplify]: Simplify 100 into 100
6.029 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n
6.029 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n
6.029 * [taylor]: Taking taylor expansion of i in n
6.029 * [backup-simplify]: Simplify i into i
6.029 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
6.029 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
6.029 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
6.029 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
6.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n
6.029 * [taylor]: Taking taylor expansion of n in n
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (/ 1 1) into 1
6.030 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
6.030 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
6.030 * [taylor]: Taking taylor expansion of (/ n i) in n
6.030 * [taylor]: Taking taylor expansion of n in n
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [taylor]: Taking taylor expansion of i in n
6.030 * [backup-simplify]: Simplify i into i
6.030 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.030 * [taylor]: Taking taylor expansion of 1 in n
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (+ 0 1) into 1
6.031 * [backup-simplify]: Simplify (log 1) into 0
6.031 * [backup-simplify]: Simplify (* 1 0) into 0
6.031 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
6.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.033 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
6.033 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
6.033 * [taylor]: Taking taylor expansion of 1 in n
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [taylor]: Taking taylor expansion of n in n
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.034 * [backup-simplify]: Simplify (- 1) into -1
6.034 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
6.034 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
6.034 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
6.034 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
6.034 * [taylor]: Taking taylor expansion of 100 in i
6.034 * [backup-simplify]: Simplify 100 into 100
6.034 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
6.034 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
6.034 * [taylor]: Taking taylor expansion of i in i
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 1 into 1
6.034 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
6.034 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
6.034 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
6.034 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
6.034 * [taylor]: Taking taylor expansion of (/ 1 n) in i
6.034 * [taylor]: Taking taylor expansion of n in i
6.034 * [backup-simplify]: Simplify n into n
6.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
6.034 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
6.034 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
6.034 * [taylor]: Taking taylor expansion of (/ n i) in i
6.034 * [taylor]: Taking taylor expansion of n in i
6.035 * [backup-simplify]: Simplify n into n
6.035 * [taylor]: Taking taylor expansion of i in i
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 1 into 1
6.035 * [backup-simplify]: Simplify (/ n 1) into n
6.035 * [taylor]: Taking taylor expansion of 1 in i
6.035 * [backup-simplify]: Simplify 1 into 1
6.035 * [backup-simplify]: Simplify (+ n 0) into n
6.035 * [backup-simplify]: Simplify (log n) into (log n)
6.035 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.035 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
6.035 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.035 * [taylor]: Taking taylor expansion of 1 in i
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [taylor]: Taking taylor expansion of n in i
6.036 * [backup-simplify]: Simplify n into n
6.036 * [backup-simplify]: Simplify (- 1) into -1
6.036 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
6.036 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
6.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (+ 0 1) into 1
6.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
6.039 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.039 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
6.039 * [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))
6.040 * [backup-simplify]: Simplify (- 0) into 0
6.040 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
6.040 * [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)
6.040 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
6.040 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
6.041 * [taylor]: Taking taylor expansion of 100 in i
6.041 * [backup-simplify]: Simplify 100 into 100
6.041 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
6.041 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
6.041 * [taylor]: Taking taylor expansion of i in i
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 1 into 1
6.041 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
6.041 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
6.041 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
6.041 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
6.041 * [taylor]: Taking taylor expansion of (/ 1 n) in i
6.041 * [taylor]: Taking taylor expansion of n in i
6.041 * [backup-simplify]: Simplify n into n
6.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
6.041 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
6.041 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
6.041 * [taylor]: Taking taylor expansion of (/ n i) in i
6.041 * [taylor]: Taking taylor expansion of n in i
6.041 * [backup-simplify]: Simplify n into n
6.041 * [taylor]: Taking taylor expansion of i in i
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 1 into 1
6.041 * [backup-simplify]: Simplify (/ n 1) into n
6.041 * [taylor]: Taking taylor expansion of 1 in i
6.041 * [backup-simplify]: Simplify 1 into 1
6.041 * [backup-simplify]: Simplify (+ n 0) into n
6.041 * [backup-simplify]: Simplify (log n) into (log n)
6.042 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.042 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
6.042 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.042 * [taylor]: Taking taylor expansion of 1 in i
6.042 * [backup-simplify]: Simplify 1 into 1
6.042 * [taylor]: Taking taylor expansion of n in i
6.042 * [backup-simplify]: Simplify n into n
6.043 * [backup-simplify]: Simplify (- 1) into -1
6.043 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
6.043 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
6.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
6.044 * [backup-simplify]: Simplify (+ 0 1) into 1
6.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
6.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
6.045 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.045 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
6.045 * [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))
6.046 * [backup-simplify]: Simplify (- 0) into 0
6.046 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
6.046 * [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)
6.046 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
6.046 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
6.046 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
6.046 * [taylor]: Taking taylor expansion of 100 in n
6.046 * [backup-simplify]: Simplify 100 into 100
6.046 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
6.046 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
6.046 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.046 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.046 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.046 * [taylor]: Taking taylor expansion of (log n) in n
6.046 * [taylor]: Taking taylor expansion of n in n
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (log 1) into 0
6.047 * [taylor]: Taking taylor expansion of (log i) in n
6.047 * [taylor]: Taking taylor expansion of i in n
6.047 * [backup-simplify]: Simplify i into i
6.047 * [backup-simplify]: Simplify (log i) into (log i)
6.047 * [taylor]: Taking taylor expansion of n in n
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.047 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.047 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.047 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.047 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.047 * [taylor]: Taking taylor expansion of 1 in n
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [taylor]: Taking taylor expansion of n in n
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.048 * [backup-simplify]: Simplify (- 1) into -1
6.048 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
6.048 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
6.048 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
6.048 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
6.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.049 * [backup-simplify]: Simplify (+ 0 0) into 0
6.051 * [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))
6.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.052 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.052 * [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))))
6.052 * [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)))
6.053 * [backup-simplify]: Simplify (- 0) into 0
6.053 * [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))))
6.053 * [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))
6.054 * [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))
6.054 * [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)))
6.054 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
6.054 * [taylor]: Taking taylor expansion of 100 in n
6.054 * [backup-simplify]: Simplify 100 into 100
6.054 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
6.054 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.054 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.054 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.054 * [taylor]: Taking taylor expansion of (log n) in n
6.054 * [taylor]: Taking taylor expansion of n in n
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 1 into 1
6.054 * [backup-simplify]: Simplify (log 1) into 0
6.054 * [taylor]: Taking taylor expansion of (log i) in n
6.054 * [taylor]: Taking taylor expansion of i in n
6.054 * [backup-simplify]: Simplify i into i
6.054 * [backup-simplify]: Simplify (log i) into (log i)
6.054 * [taylor]: Taking taylor expansion of n in n
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.055 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.055 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.055 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.055 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.055 * [taylor]: Taking taylor expansion of (pow n 3) in n
6.055 * [taylor]: Taking taylor expansion of n in n
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (* 1 1) into 1
6.056 * [backup-simplify]: Simplify (* 1 1) into 1
6.056 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.060 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify (- 0) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
6.061 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
6.061 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.062 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [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))
6.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.064 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.065 * [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)))
6.065 * [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)))))
6.065 * [backup-simplify]: Simplify (- 0) into 0
6.066 * [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))))
6.067 * [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))))
6.067 * [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))))
6.068 * [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))))
6.068 * [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
6.068 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
6.068 * [taylor]: Taking taylor expansion of 50 in n
6.068 * [backup-simplify]: Simplify 50 into 50
6.068 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
6.068 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.068 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.068 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.068 * [taylor]: Taking taylor expansion of (log n) in n
6.068 * [taylor]: Taking taylor expansion of n in n
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 1 into 1
6.069 * [backup-simplify]: Simplify (log 1) into 0
6.069 * [taylor]: Taking taylor expansion of (log i) in n
6.069 * [taylor]: Taking taylor expansion of i in n
6.069 * [backup-simplify]: Simplify i into i
6.069 * [backup-simplify]: Simplify (log i) into (log i)
6.069 * [taylor]: Taking taylor expansion of n in n
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 1 into 1
6.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.069 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.069 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.069 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.069 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.069 * [taylor]: Taking taylor expansion of (pow n 5) in n
6.069 * [taylor]: Taking taylor expansion of n in n
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.070 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
6.070 * [taylor]: Taking taylor expansion of 50 in n
6.070 * [backup-simplify]: Simplify 50 into 50
6.070 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
6.071 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.071 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.071 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.071 * [taylor]: Taking taylor expansion of (log n) in n
6.071 * [taylor]: Taking taylor expansion of n in n
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (log 1) into 0
6.071 * [taylor]: Taking taylor expansion of (log i) in n
6.071 * [taylor]: Taking taylor expansion of i in n
6.071 * [backup-simplify]: Simplify i into i
6.071 * [backup-simplify]: Simplify (log i) into (log i)
6.071 * [taylor]: Taking taylor expansion of n in n
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.071 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.071 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.071 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.071 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.072 * [taylor]: Taking taylor expansion of (pow n 4) in n
6.072 * [taylor]: Taking taylor expansion of n in n
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify 1 into 1
6.072 * [backup-simplify]: Simplify (* 1 1) into 1
6.072 * [backup-simplify]: Simplify (* 1 1) into 1
6.072 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.087 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.094 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
6.094 * [backup-simplify]: Simplify (- 0) into 0
6.094 * [backup-simplify]: Simplify (+ 0 0) into 0
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify (- 0) into 0
6.098 * [backup-simplify]: Simplify (+ 0 0) into 0
6.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.100 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
6.100 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.104 * [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))
6.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.104 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.105 * [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))))
6.105 * [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))))))
6.105 * [backup-simplify]: Simplify (- 0) into 0
6.106 * [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)))))
6.108 * [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))))
6.109 * [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))))
6.110 * [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))))
6.110 * [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
6.110 * [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
6.110 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
6.110 * [taylor]: Taking taylor expansion of 50/3 in n
6.110 * [backup-simplify]: Simplify 50/3 into 50/3
6.110 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
6.110 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.110 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.110 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.110 * [taylor]: Taking taylor expansion of (log n) in n
6.110 * [taylor]: Taking taylor expansion of n in n
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [backup-simplify]: Simplify 1 into 1
6.110 * [backup-simplify]: Simplify (log 1) into 0
6.110 * [taylor]: Taking taylor expansion of (log i) in n
6.110 * [taylor]: Taking taylor expansion of i in n
6.111 * [backup-simplify]: Simplify i into i
6.111 * [backup-simplify]: Simplify (log i) into (log i)
6.111 * [taylor]: Taking taylor expansion of n in n
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.111 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.111 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.111 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.111 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.111 * [taylor]: Taking taylor expansion of (pow n 7) in n
6.111 * [taylor]: Taking taylor expansion of n in n
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [backup-simplify]: Simplify (* 1 1) into 1
6.112 * [backup-simplify]: Simplify (* 1 1) into 1
6.112 * [backup-simplify]: Simplify (* 1 1) into 1
6.112 * [backup-simplify]: Simplify (* 1 1) into 1
6.112 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.112 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
6.112 * [taylor]: Taking taylor expansion of 100/3 in n
6.112 * [backup-simplify]: Simplify 100/3 into 100/3
6.112 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
6.112 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.112 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.112 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.112 * [taylor]: Taking taylor expansion of (log n) in n
6.112 * [taylor]: Taking taylor expansion of n in n
6.112 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [backup-simplify]: Simplify (log 1) into 0
6.113 * [taylor]: Taking taylor expansion of (log i) in n
6.113 * [taylor]: Taking taylor expansion of i in n
6.113 * [backup-simplify]: Simplify i into i
6.113 * [backup-simplify]: Simplify (log i) into (log i)
6.113 * [taylor]: Taking taylor expansion of n in n
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.113 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.113 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.113 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.113 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.113 * [taylor]: Taking taylor expansion of (pow n 5) in n
6.113 * [taylor]: Taking taylor expansion of n in n
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.114 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
6.114 * [taylor]: Taking taylor expansion of 50 in n
6.114 * [backup-simplify]: Simplify 50 into 50
6.114 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
6.114 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
6.114 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.114 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.114 * [taylor]: Taking taylor expansion of (log n) in n
6.114 * [taylor]: Taking taylor expansion of n in n
6.114 * [backup-simplify]: Simplify 0 into 0
6.114 * [backup-simplify]: Simplify 1 into 1
6.115 * [backup-simplify]: Simplify (log 1) into 0
6.115 * [taylor]: Taking taylor expansion of (log i) in n
6.115 * [taylor]: Taking taylor expansion of i in n
6.115 * [backup-simplify]: Simplify i into i
6.115 * [backup-simplify]: Simplify (log i) into (log i)
6.115 * [taylor]: Taking taylor expansion of n in n
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.115 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.115 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.115 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.115 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
6.115 * [taylor]: Taking taylor expansion of (pow n 6) in n
6.115 * [taylor]: Taking taylor expansion of n in n
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.116 * [backup-simplify]: Simplify (* 1 1) into 1
6.116 * [backup-simplify]: Simplify (* 1 1) into 1
6.116 * [backup-simplify]: Simplify (* 1 1) into 1
6.116 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.153 * [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
6.159 * [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
6.161 * [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
6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
6.181 * [backup-simplify]: Simplify (+ 0 0) into 0
6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.202 * [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
6.203 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
6.203 * [backup-simplify]: Simplify (- 0) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [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))
6.204 * [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))
6.204 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in (i n) around 0
6.204 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in n
6.204 * [taylor]: Taking taylor expansion of 100 in n
6.204 * [backup-simplify]: Simplify 100 into 100
6.204 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n
6.204 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n
6.204 * [taylor]: Taking taylor expansion of i in n
6.204 * [backup-simplify]: Simplify i into i
6.204 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
6.204 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
6.204 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
6.204 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
6.204 * [taylor]: Taking taylor expansion of (/ -1 n) in n
6.204 * [taylor]: Taking taylor expansion of -1 in n
6.204 * [backup-simplify]: Simplify -1 into -1
6.204 * [taylor]: Taking taylor expansion of n in n
6.204 * [backup-simplify]: Simplify 0 into 0
6.204 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (/ -1 1) into -1
6.205 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
6.205 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
6.205 * [taylor]: Taking taylor expansion of (/ n i) in n
6.205 * [taylor]: Taking taylor expansion of n in n
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [taylor]: Taking taylor expansion of i in n
6.205 * [backup-simplify]: Simplify i into i
6.205 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.205 * [taylor]: Taking taylor expansion of 1 in n
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (+ 0 1) into 1
6.205 * [backup-simplify]: Simplify (log 1) into 0
6.206 * [backup-simplify]: Simplify (* -1 0) into 0
6.206 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
6.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
6.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.207 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
6.207 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
6.207 * [taylor]: Taking taylor expansion of 1 in n
6.207 * [backup-simplify]: Simplify 1 into 1
6.207 * [taylor]: Taking taylor expansion of n in n
6.207 * [backup-simplify]: Simplify 0 into 0
6.207 * [backup-simplify]: Simplify 1 into 1
6.207 * [backup-simplify]: Simplify (- 1) into -1
6.207 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1)
6.207 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1))
6.207 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1))
6.207 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
6.207 * [taylor]: Taking taylor expansion of 100 in i
6.207 * [backup-simplify]: Simplify 100 into 100
6.207 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
6.207 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
6.208 * [taylor]: Taking taylor expansion of i in i
6.208 * [backup-simplify]: Simplify 0 into 0
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
6.208 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
6.208 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
6.208 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
6.208 * [taylor]: Taking taylor expansion of (/ -1 n) in i
6.208 * [taylor]: Taking taylor expansion of -1 in i
6.208 * [backup-simplify]: Simplify -1 into -1
6.208 * [taylor]: Taking taylor expansion of n in i
6.208 * [backup-simplify]: Simplify n into n
6.208 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
6.208 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
6.208 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
6.208 * [taylor]: Taking taylor expansion of (/ n i) in i
6.208 * [taylor]: Taking taylor expansion of n in i
6.208 * [backup-simplify]: Simplify n into n
6.208 * [taylor]: Taking taylor expansion of i in i
6.208 * [backup-simplify]: Simplify 0 into 0
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [backup-simplify]: Simplify (/ n 1) into n
6.208 * [taylor]: Taking taylor expansion of 1 in i
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [backup-simplify]: Simplify (+ n 0) into n
6.208 * [backup-simplify]: Simplify (log n) into (log n)
6.208 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.208 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
6.208 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.208 * [taylor]: Taking taylor expansion of 1 in i
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [taylor]: Taking taylor expansion of n in i
6.208 * [backup-simplify]: Simplify n into n
6.209 * [backup-simplify]: Simplify (- 1) into -1
6.209 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
6.209 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
6.210 * [backup-simplify]: Simplify (+ 0 1) into 1
6.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
6.210 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
6.210 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.211 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
6.211 * [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)))
6.211 * [backup-simplify]: Simplify (- 0) into 0
6.211 * [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)))
6.211 * [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)
6.212 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
6.212 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
6.212 * [taylor]: Taking taylor expansion of 100 in i
6.212 * [backup-simplify]: Simplify 100 into 100
6.212 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
6.212 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
6.212 * [taylor]: Taking taylor expansion of i in i
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
6.212 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
6.212 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
6.212 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
6.212 * [taylor]: Taking taylor expansion of (/ -1 n) in i
6.212 * [taylor]: Taking taylor expansion of -1 in i
6.212 * [backup-simplify]: Simplify -1 into -1
6.212 * [taylor]: Taking taylor expansion of n in i
6.212 * [backup-simplify]: Simplify n into n
6.212 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
6.212 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
6.212 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
6.212 * [taylor]: Taking taylor expansion of (/ n i) in i
6.212 * [taylor]: Taking taylor expansion of n in i
6.212 * [backup-simplify]: Simplify n into n
6.212 * [taylor]: Taking taylor expansion of i in i
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (/ n 1) into n
6.212 * [taylor]: Taking taylor expansion of 1 in i
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (+ n 0) into n
6.212 * [backup-simplify]: Simplify (log n) into (log n)
6.212 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.212 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
6.212 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.213 * [taylor]: Taking taylor expansion of 1 in i
6.213 * [backup-simplify]: Simplify 1 into 1
6.213 * [taylor]: Taking taylor expansion of n in i
6.213 * [backup-simplify]: Simplify n into n
6.213 * [backup-simplify]: Simplify (- 1) into -1
6.213 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
6.213 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
6.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
6.214 * [backup-simplify]: Simplify (+ 0 1) into 1
6.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
6.214 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
6.215 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.215 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
6.215 * [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)))
6.215 * [backup-simplify]: Simplify (- 0) into 0
6.215 * [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)))
6.215 * [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)
6.216 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
6.216 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
6.216 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
6.216 * [taylor]: Taking taylor expansion of 100 in n
6.216 * [backup-simplify]: Simplify 100 into 100
6.216 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
6.216 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
6.216 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.216 * [taylor]: Taking taylor expansion of -1 in n
6.216 * [backup-simplify]: Simplify -1 into -1
6.216 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.216 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.216 * [taylor]: Taking taylor expansion of (log n) in n
6.216 * [taylor]: Taking taylor expansion of n in n
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [backup-simplify]: Simplify (log 1) into 0
6.216 * [taylor]: Taking taylor expansion of (log i) in n
6.216 * [taylor]: Taking taylor expansion of i in n
6.216 * [backup-simplify]: Simplify i into i
6.216 * [backup-simplify]: Simplify (log i) into (log i)
6.216 * [taylor]: Taking taylor expansion of n in n
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.217 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.217 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.217 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.217 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.217 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.217 * [taylor]: Taking taylor expansion of 1 in n
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [taylor]: Taking taylor expansion of n in n
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (- 1) into -1
6.217 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
6.217 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
6.218 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
6.218 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
6.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.219 * [backup-simplify]: Simplify (+ 0 0) into 0
6.220 * [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))
6.220 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.220 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.220 * [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)))
6.220 * [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)))))
6.221 * [backup-simplify]: Simplify (- 0) into 0
6.221 * [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))))
6.221 * [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)))
6.222 * [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)))
6.222 * [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))))
6.222 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
6.222 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
6.222 * [taylor]: Taking taylor expansion of 100 in n
6.222 * [backup-simplify]: Simplify 100 into 100
6.222 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
6.222 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.222 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.222 * [taylor]: Taking taylor expansion of -1 in n
6.222 * [backup-simplify]: Simplify -1 into -1
6.222 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.222 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.222 * [taylor]: Taking taylor expansion of (log n) in n
6.222 * [taylor]: Taking taylor expansion of n in n
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 1 into 1
6.222 * [backup-simplify]: Simplify (log 1) into 0
6.223 * [taylor]: Taking taylor expansion of (log i) in n
6.223 * [taylor]: Taking taylor expansion of i in n
6.223 * [backup-simplify]: Simplify i into i
6.223 * [backup-simplify]: Simplify (log i) into (log i)
6.223 * [taylor]: Taking taylor expansion of n in n
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 1 into 1
6.223 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.223 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.223 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.223 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.223 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.223 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.223 * [taylor]: Taking taylor expansion of (pow n 3) in n
6.223 * [taylor]: Taking taylor expansion of n in n
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 1 into 1
6.223 * [backup-simplify]: Simplify (* 1 1) into 1
6.224 * [backup-simplify]: Simplify (* 1 1) into 1
6.224 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
6.228 * [backup-simplify]: Simplify (- 0) into 0
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify (- 0) into 0
6.228 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
6.230 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.231 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [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))
6.233 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.233 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.233 * [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))))
6.234 * [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)))))))
6.234 * [backup-simplify]: Simplify (- 0) into 0
6.234 * [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))))))
6.235 * [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))))
6.236 * [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))))
6.236 * [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))))
6.236 * [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
6.237 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
6.237 * [taylor]: Taking taylor expansion of 50 in n
6.237 * [backup-simplify]: Simplify 50 into 50
6.237 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
6.237 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.237 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.237 * [taylor]: Taking taylor expansion of -1 in n
6.237 * [backup-simplify]: Simplify -1 into -1
6.237 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.237 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.237 * [taylor]: Taking taylor expansion of (log n) in n
6.237 * [taylor]: Taking taylor expansion of n in n
6.237 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify 1 into 1
6.237 * [backup-simplify]: Simplify (log 1) into 0
6.237 * [taylor]: Taking taylor expansion of (log i) in n
6.237 * [taylor]: Taking taylor expansion of i in n
6.237 * [backup-simplify]: Simplify i into i
6.237 * [backup-simplify]: Simplify (log i) into (log i)
6.237 * [taylor]: Taking taylor expansion of n in n
6.237 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify 1 into 1
6.237 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.237 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.237 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.238 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.238 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.238 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.238 * [taylor]: Taking taylor expansion of (pow n 5) in n
6.238 * [taylor]: Taking taylor expansion of n in n
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify 1 into 1
6.238 * [backup-simplify]: Simplify (* 1 1) into 1
6.238 * [backup-simplify]: Simplify (* 1 1) into 1
6.238 * [backup-simplify]: Simplify (* 1 1) into 1
6.239 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.239 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
6.239 * [taylor]: Taking taylor expansion of 50 in n
6.239 * [backup-simplify]: Simplify 50 into 50
6.239 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
6.239 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.239 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.239 * [taylor]: Taking taylor expansion of -1 in n
6.239 * [backup-simplify]: Simplify -1 into -1
6.239 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.239 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.239 * [taylor]: Taking taylor expansion of (log n) in n
6.239 * [taylor]: Taking taylor expansion of n in n
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (log 1) into 0
6.239 * [taylor]: Taking taylor expansion of (log i) in n
6.239 * [taylor]: Taking taylor expansion of i in n
6.239 * [backup-simplify]: Simplify i into i
6.239 * [backup-simplify]: Simplify (log i) into (log i)
6.239 * [taylor]: Taking taylor expansion of n in n
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.239 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.239 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.240 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.240 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.240 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.240 * [taylor]: Taking taylor expansion of (pow n 4) in n
6.240 * [taylor]: Taking taylor expansion of n in n
6.240 * [backup-simplify]: Simplify 0 into 0
6.240 * [backup-simplify]: Simplify 1 into 1
6.240 * [backup-simplify]: Simplify (* 1 1) into 1
6.240 * [backup-simplify]: Simplify (* 1 1) into 1
6.240 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.258 * [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
6.261 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.272 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
6.272 * [backup-simplify]: Simplify (+ 0 0) into 0
6.272 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.277 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
6.277 * [backup-simplify]: Simplify (- 0) into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify (- 0) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.280 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
6.280 * [backup-simplify]: Simplify 0 into 0
6.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.281 * [backup-simplify]: Simplify (+ 0 0) into 0
6.284 * [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))
6.284 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
6.284 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
6.284 * [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)))
6.285 * [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)))))))
6.285 * [backup-simplify]: Simplify (- 0) into 0
6.286 * [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))))))
6.288 * [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))))))
6.289 * [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))))))
6.290 * [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))))))
6.290 * [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
6.290 * [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
6.290 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
6.290 * [taylor]: Taking taylor expansion of 50/3 in n
6.290 * [backup-simplify]: Simplify 50/3 into 50/3
6.290 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
6.290 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.290 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.290 * [taylor]: Taking taylor expansion of -1 in n
6.290 * [backup-simplify]: Simplify -1 into -1
6.290 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.290 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.290 * [taylor]: Taking taylor expansion of (log n) in n
6.290 * [taylor]: Taking taylor expansion of n in n
6.290 * [backup-simplify]: Simplify 0 into 0
6.290 * [backup-simplify]: Simplify 1 into 1
6.291 * [backup-simplify]: Simplify (log 1) into 0
6.291 * [taylor]: Taking taylor expansion of (log i) in n
6.291 * [taylor]: Taking taylor expansion of i in n
6.291 * [backup-simplify]: Simplify i into i
6.291 * [backup-simplify]: Simplify (log i) into (log i)
6.291 * [taylor]: Taking taylor expansion of n in n
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.291 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.291 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.291 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.291 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.291 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.291 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.291 * [taylor]: Taking taylor expansion of (pow n 7) in n
6.291 * [taylor]: Taking taylor expansion of n in n
6.291 * [backup-simplify]: Simplify 0 into 0
6.291 * [backup-simplify]: Simplify 1 into 1
6.292 * [backup-simplify]: Simplify (* 1 1) into 1
6.292 * [backup-simplify]: Simplify (* 1 1) into 1
6.292 * [backup-simplify]: Simplify (* 1 1) into 1
6.292 * [backup-simplify]: Simplify (* 1 1) into 1
6.292 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.292 * [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
6.292 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
6.292 * [taylor]: Taking taylor expansion of 100/3 in n
6.292 * [backup-simplify]: Simplify 100/3 into 100/3
6.292 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
6.293 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.293 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.293 * [taylor]: Taking taylor expansion of -1 in n
6.293 * [backup-simplify]: Simplify -1 into -1
6.293 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.293 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.293 * [taylor]: Taking taylor expansion of (log n) in n
6.293 * [taylor]: Taking taylor expansion of n in n
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.293 * [backup-simplify]: Simplify (log 1) into 0
6.293 * [taylor]: Taking taylor expansion of (log i) in n
6.293 * [taylor]: Taking taylor expansion of i in n
6.293 * [backup-simplify]: Simplify i into i
6.293 * [backup-simplify]: Simplify (log i) into (log i)
6.293 * [taylor]: Taking taylor expansion of n in n
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.293 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.293 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.293 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.293 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.294 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.294 * [taylor]: Taking taylor expansion of (pow n 5) in n
6.294 * [taylor]: Taking taylor expansion of n in n
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.294 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
6.294 * [taylor]: Taking taylor expansion of 50 in n
6.294 * [backup-simplify]: Simplify 50 into 50
6.294 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
6.295 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
6.295 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
6.295 * [taylor]: Taking taylor expansion of -1 in n
6.295 * [backup-simplify]: Simplify -1 into -1
6.295 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
6.295 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
6.295 * [taylor]: Taking taylor expansion of (log n) in n
6.295 * [taylor]: Taking taylor expansion of n in n
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 1 into 1
6.295 * [backup-simplify]: Simplify (log 1) into 0
6.295 * [taylor]: Taking taylor expansion of (log i) in n
6.295 * [taylor]: Taking taylor expansion of i in n
6.295 * [backup-simplify]: Simplify i into i
6.295 * [backup-simplify]: Simplify (log i) into (log i)
6.295 * [taylor]: Taking taylor expansion of n in n
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 1 into 1
6.295 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
6.295 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
6.295 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
6.295 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
6.295 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
6.296 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.296 * [taylor]: Taking taylor expansion of (pow n 6) in n
6.296 * [taylor]: Taking taylor expansion of n in n
6.296 * [backup-simplify]: Simplify 0 into 0
6.296 * [backup-simplify]: Simplify 1 into 1
6.296 * [backup-simplify]: Simplify (* 1 1) into 1
6.296 * [backup-simplify]: Simplify (* 1 1) into 1
6.296 * [backup-simplify]: Simplify (* 1 1) into 1
6.296 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
6.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
6.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.316 * [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
6.318 * [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
6.321 * [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
6.322 * [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
6.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.334 * [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
6.335 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.351 * [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
6.353 * [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
6.354 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
6.354 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (- 0) into 0
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [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))
6.355 * * * [progress]: simplifying candidates
6.355 * * * * [progress]: [ 1 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 1)))>
6.355 * * * * [progress]: [ 2 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (- (pow (+ 1 (/ i n)) n) 1)) (- (log i) (log n))))))>
6.355 * * * * [progress]: [ 3 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n))))))>
6.356 * * * * [progress]: [ 4 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
6.356 * * * * [progress]: [ 5 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))>
6.356 * * * * [progress]: [ 6 / 461 ] 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))))))>
6.356 * * * * [progress]: [ 7 / 461 ] 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))))))>
6.356 * * * * [progress]: [ 8 / 461 ] 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))))))>
6.356 * * * * [progress]: [ 9 / 461 ] 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))))))>
6.356 * * * * [progress]: [ 10 / 461 ] 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))))))>
6.356 * * * * [progress]: [ 11 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (- (pow (+ 1 (/ i n)) n) 1)) (- (/ i n)))))>
6.356 * * * * [progress]: [ 12 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))>
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6.358 * * * * [progress]: [ 53 / 461 ] 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))))))>
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6.370 * * * * [progress]: [ 312 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 313 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 314 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 315 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 316 / 461 ] 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))))>
6.370 * * * * [progress]: [ 317 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 318 / 461 ] 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)))))>
6.370 * * * * [progress]: [ 319 / 461 ] 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))))>
6.370 * * * * [progress]: [ 320 / 461 ] 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)))))>
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6.370 * * * * [progress]: [ 324 / 461 ] 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))))>
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6.370 * * * * [progress]: [ 329 / 461 ] 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))))>
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6.370 * * * * [progress]: [ 331 / 461 ] 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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6.370 * * * * [progress]: [ 333 / 461 ] 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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6.371 * * * * [progress]: [ 338 / 461 ] 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)))))>
6.371 * * * * [progress]: [ 339 / 461 ] 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)))))>
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6.371 * * * * [progress]: [ 341 / 461 ] 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)))))>
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6.371 * * * * [progress]: [ 344 / 461 ] 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)))))>
6.371 * * * * [progress]: [ 345 / 461 ] 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))))>
6.371 * * * * [progress]: [ 346 / 461 ] 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)))))>
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6.371 * * * * [progress]: [ 348 / 461 ] 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))))>
6.371 * * * * [progress]: [ 349 / 461 ] 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))))>
6.371 * * * * [progress]: [ 350 / 461 ] 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))))>
6.371 * * * * [progress]: [ 351 / 461 ] 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)))))>
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6.371 * * * * [progress]: [ 353 / 461 ] 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)))))>
6.371 * * * * [progress]: [ 354 / 461 ] 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)))))>
6.371 * * * * [progress]: [ 355 / 461 ] 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))))>
6.372 * * * * [progress]: [ 356 / 461 ] 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)))))>
6.372 * * * * [progress]: [ 357 / 461 ] 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)))))>
6.372 * * * * [progress]: [ 358 / 461 ] 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))))>
6.372 * * * * [progress]: [ 359 / 461 ] 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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6.372 * * * * [progress]: [ 361 / 461 ] 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))))>
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6.372 * * * * [progress]: [ 363 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))))>
6.372 * * * * [progress]: [ 364 / 461 ] 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)))))>
6.372 * * * * [progress]: [ 365 / 461 ] 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)))))>
6.372 * * * * [progress]: [ 366 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (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)))))>
6.372 * * * * [progress]: [ 367 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (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)))))>
6.372 * * * * [progress]: [ 368 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (cbrt i) n))))>
6.372 * * * * [progress]: [ 369 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (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)))))>
6.372 * * * * [progress]: [ 370 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ (sqrt i) (sqrt n)))))>
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6.372 * * * * [progress]: [ 372 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ i (cbrt n)))))>
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6.372 * * * * [progress]: [ 376 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) i)) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (/ 1 n))))>
6.372 * * * * [progress]: [ 377 / 461 ] 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)))))>
6.372 * * * * [progress]: [ 378 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 379 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 380 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 381 / 461 ] 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))))>
6.373 * * * * [progress]: [ 382 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 383 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 384 / 461 ] 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))))>
6.373 * * * * [progress]: [ 385 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 386 / 461 ] 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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6.373 * * * * [progress]: [ 391 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 392 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 393 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 394 / 461 ] 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))))>
6.373 * * * * [progress]: [ 395 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 396 / 461 ] 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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6.373 * * * * [progress]: [ 398 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 399 / 461 ] 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)))))>
6.373 * * * * [progress]: [ 400 / 461 ] 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))))>
6.373 * * * * [progress]: [ 401 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))))>
6.374 * * * * [progress]: [ 402 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))))>
6.374 * * * * [progress]: [ 403 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 404 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 405 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 406 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 407 / 461 ] 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))))>
6.374 * * * * [progress]: [ 408 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 409 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 410 / 461 ] 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))))>
6.374 * * * * [progress]: [ 411 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 412 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 413 / 461 ] 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))))>
6.374 * * * * [progress]: [ 414 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))))>
6.374 * * * * [progress]: [ 415 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))))>
6.374 * * * * [progress]: [ 416 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 417 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 418 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 419 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 420 / 461 ] 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))))>
6.374 * * * * [progress]: [ 421 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 422 / 461 ] 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)))))>
6.374 * * * * [progress]: [ 423 / 461 ] 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))))>
6.374 * * * * [progress]: [ 424 / 461 ] 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)))))>
6.375 * * * * [progress]: [ 425 / 461 ] 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)))))>
6.375 * * * * [progress]: [ 426 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 1))) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i n))))>
6.375 * * * * [progress]: [ 427 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 1)) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ i n))))>
6.375 * * * * [progress]: [ 428 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) i)) (/ (- (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ 1 n))))>
6.375 * * * * [progress]: [ 429 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))))>
6.375 * * * * [progress]: [ 430 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))>
6.375 * * * * [progress]: [ 431 / 461 ] 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)))))>
6.375 * * * * [progress]: [ 432 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))))>
6.375 * * * * [progress]: [ 433 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (* (cbrt i) (cbrt i)) 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))))>
6.375 * * * * [progress]: [ 434 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))))>
6.375 * * * * [progress]: [ 435 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))))>
6.375 * * * * [progress]: [ 436 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ (sqrt i) 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n))))>
6.375 * * * * [progress]: [ 437 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (* (cbrt n) (cbrt n))))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))))>
6.375 * * * * [progress]: [ 438 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 (sqrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))))>
6.375 * * * * [progress]: [ 439 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 (/ 1 1))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
6.375 * * * * [progress]: [ 440 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
6.375 * * * * [progress]: [ 441 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ 1 i)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))>
6.375 * * * * [progress]: [ 442 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 1) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
6.375 * * * * [progress]: [ 443 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (/ i n))))>
6.375 * * * * [progress]: [ 444 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n))>
6.375 * * * * [progress]: [ 445 / 461 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (cbrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
6.375 * * * * [progress]: [ 446 / 461 ] simplifiying candidate #<alt (λ (i n) (* (sqrt 100) (* (sqrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
6.375 * * * * [progress]: [ 447 / 461 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))>
6.375 * * * * [progress]: [ 448 / 461 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))>
6.375 * * * * [progress]: [ 449 / 461 ] simplifiying candidate #<alt (λ (i n) (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100))>
6.375 * * * * [progress]: [ 450 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 0))>
6.375 * * * * [progress]: [ 451 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
6.376 * * * * [progress]: [ 452 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
6.376 * * * * [progress]: [ 453 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (+ i (+ (* 1/2 (pow i 2)) 1)) 1) (/ i n))))>
6.376 * * * * [progress]: [ 454 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (/ i n))))>
6.376 * * * * [progress]: [ 455 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) (/ i n))))>
6.376 * * * * [progress]: [ 456 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) (/ i n))))>
6.376 * * * * [progress]: [ 457 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (/ i n))))>
6.376 * * * * [progress]: [ 458 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) (/ i n))))>
6.376 * * * * [progress]: [ 459 / 461 ] simplifiying candidate #<alt (λ (i n) 0)>
6.376 * * * * [progress]: [ 460 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
6.376 * * * * [progress]: [ 461 / 461 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
6.381 * [simplify]: Simplifying:
  (- (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)
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  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1))
  (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1))
  (+ (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (- (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1))
  (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 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)
  (+ (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (- (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)
  (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))
  (+ (log 100) (- (log (- (pow (+ 1 (/ i n)) n) 1)) (- (log i) (log n))))
  (+ (log 100) (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n))))
  (+ (log 100) (log (/ (- (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))))
  (* (* (* 100 100) 100) (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (* i i) i) (* (* n n) n))))
  (* (* (* 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))))
  (* (* (* 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))))
  (* (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))))
  (* (sqrt 100) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* (sqrt 100) (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 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))))
  (* (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))))
  (* 100 (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))))
  (* 100 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ 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)))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) (sqrt n))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (cbrt i) (cbrt i)) 1)))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) (sqrt n))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (sqrt i) 1)))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (* (cbrt n) (cbrt n)))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 (sqrt n))))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (/ 1 1)))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1))
  (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 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 (/ 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))
  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))
6.391 * * [simplify]: iteration 1: (538 enodes)
7.449 * * [simplify]: iteration 2: (1662 enodes)
16.669 * * [simplify]: Extracting #0: cost 305 inf + 0
16.674 * * [simplify]: Extracting #1: cost 1568 inf + 46
16.682 * * [simplify]: Extracting #2: cost 1982 inf + 5633
16.694 * * [simplify]: Extracting #3: cost 1700 inf + 46411
16.716 * * [simplify]: Extracting #4: cost 1351 inf + 171470
16.779 * * [simplify]: Extracting #5: cost 473 inf + 586088
16.875 * * [simplify]: Extracting #6: cost 22 inf + 810614
16.977 * * [simplify]: Extracting #7: cost 0 inf + 821724
17.081 * [simplify]: Simplified to:
  (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) (/ (/ (* (* (/ i n) (/ i n)) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (* (/ (- (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))
  (/ n i)
  (* (/ (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)) (sqrt (/ 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)) (cbrt i)) (cbrt n)) (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (cbrt n)))
  (* (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt i)) (cbrt n))
  (* (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)) (cbrt i)) (sqrt n))
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  (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100)
  (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) i)
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 100 (sqrt (/ i n)))
  (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (sqrt n) (* (cbrt i) (cbrt i))) 100)
  (/ 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))
  (* 100 (sqrt n))
  100
  100
  (/ 100 i)
  100
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) i)
  (/ (cbrt 100) (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 10)
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) 100) (/ i n))
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  0
  (/ (- (exp (* (log (/ i n)) n)) 1) (/ i n))
  (/ n (/ i (+ (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n)) -1)))
  (+ (+ i 1) (* (* i i) 1/2))
  (exp (* (log (/ i n)) n))
  (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n))
  (+ (* (* (* i i) i) 1/6) (+ i (* (* i i) 1/2)))
  (- (exp (* (log (/ i n)) n)) 1)
  (+ (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n)) -1)
  0
  (* 100 (/ (- (exp (* (log (/ i n)) n)) 1) (/ i n)))
  (/ (* 100 n) (/ i (+ (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n)) -1)))
17.121 * * * [progress]: adding candidates to table
21.046 * * [progress]: iteration 2 / 4
21.046 * * * [progress]: picking best candidate
21.063 * * * * [pick]: Picked  #<alt (λ (i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))>
21.063 * * * [progress]: localizing error
21.081 * * * [progress]: generating rewritten candidates
21.081 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
21.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1)
21.188 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
21.280 * * * [progress]: generating series expansions
21.280 * * * * [progress]: [ 1 / 3 ] generating series at (2)
21.280 * [backup-simplify]: Simplify (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) into (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i))
21.280 * [approximate]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in (i n) around 0
21.280 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in n
21.280 * [taylor]: Taking taylor expansion of 100 in n
21.280 * [backup-simplify]: Simplify 100 into 100
21.280 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n
21.280 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n
21.280 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
21.280 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
21.280 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
21.280 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
21.281 * [taylor]: Taking taylor expansion of n in n
21.281 * [backup-simplify]: Simplify 0 into 0
21.281 * [backup-simplify]: Simplify 1 into 1
21.281 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
21.281 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
21.281 * [taylor]: Taking taylor expansion of (/ i n) in n
21.281 * [taylor]: Taking taylor expansion of i in n
21.281 * [backup-simplify]: Simplify i into i
21.281 * [taylor]: Taking taylor expansion of n in n
21.281 * [backup-simplify]: Simplify 0 into 0
21.281 * [backup-simplify]: Simplify 1 into 1
21.281 * [backup-simplify]: Simplify (/ i 1) into i
21.281 * [taylor]: Taking taylor expansion of 1 in n
21.281 * [backup-simplify]: Simplify 1 into 1
21.281 * [backup-simplify]: Simplify (+ i 0) into i
21.281 * [backup-simplify]: Simplify (log i) into (log i)
21.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.281 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
21.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
21.282 * [backup-simplify]: Simplify (+ 0 1) into 1
21.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
21.283 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.283 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
21.283 * [backup-simplify]: Simplify (exp 0) into 1
21.283 * [taylor]: Taking taylor expansion of 1 in n
21.283 * [backup-simplify]: Simplify 1 into 1
21.283 * [taylor]: Taking taylor expansion of n in n
21.283 * [backup-simplify]: Simplify 0 into 0
21.283 * [backup-simplify]: Simplify 1 into 1
21.283 * [taylor]: Taking taylor expansion of i in n
21.283 * [backup-simplify]: Simplify i into i
21.283 * [backup-simplify]: Simplify (- 1) into -1
21.284 * [backup-simplify]: Simplify (+ 1 -1) into 0
21.284 * [backup-simplify]: Simplify (* 0 0) into 0
21.284 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
21.284 * [backup-simplify]: Simplify (- 0) into 0
21.284 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n))
21.285 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0
21.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.286 * [backup-simplify]: Simplify (+ 0 0) into 0
21.287 * [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))
21.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.287 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i)
21.287 * [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)))))
21.288 * [backup-simplify]: Simplify (- 0) into 0
21.288 * [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)))))
21.289 * [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))
21.289 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i)
21.289 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
21.289 * [taylor]: Taking taylor expansion of 100 in i
21.289 * [backup-simplify]: Simplify 100 into 100
21.289 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
21.289 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
21.289 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
21.289 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.289 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.289 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.289 * [taylor]: Taking taylor expansion of n in i
21.289 * [backup-simplify]: Simplify n into n
21.289 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.289 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.289 * [taylor]: Taking taylor expansion of (/ i n) in i
21.289 * [taylor]: Taking taylor expansion of i in i
21.289 * [backup-simplify]: Simplify 0 into 0
21.289 * [backup-simplify]: Simplify 1 into 1
21.289 * [taylor]: Taking taylor expansion of n in i
21.289 * [backup-simplify]: Simplify n into n
21.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.289 * [taylor]: Taking taylor expansion of 1 in i
21.289 * [backup-simplify]: Simplify 1 into 1
21.289 * [backup-simplify]: Simplify (+ 0 1) into 1
21.290 * [backup-simplify]: Simplify (log 1) into 0
21.290 * [backup-simplify]: Simplify (* n 0) into 0
21.290 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.290 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.290 * [backup-simplify]: Simplify (exp 0) into 1
21.290 * [taylor]: Taking taylor expansion of 1 in i
21.290 * [backup-simplify]: Simplify 1 into 1
21.290 * [taylor]: Taking taylor expansion of n in i
21.290 * [backup-simplify]: Simplify n into n
21.290 * [taylor]: Taking taylor expansion of i in i
21.290 * [backup-simplify]: Simplify 0 into 0
21.290 * [backup-simplify]: Simplify 1 into 1
21.291 * [backup-simplify]: Simplify (- 1) into -1
21.291 * [backup-simplify]: Simplify (+ 1 -1) into 0
21.291 * [backup-simplify]: Simplify (* 0 n) into 0
21.292 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
21.292 * [backup-simplify]: Simplify (- 0) into 0
21.292 * [backup-simplify]: Simplify (+ 1 0) into 1
21.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
21.292 * [backup-simplify]: Simplify (/ n 1) into n
21.292 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i
21.292 * [taylor]: Taking taylor expansion of 100 in i
21.292 * [backup-simplify]: Simplify 100 into 100
21.292 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i
21.292 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i
21.292 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
21.292 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.292 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.292 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.292 * [taylor]: Taking taylor expansion of n in i
21.292 * [backup-simplify]: Simplify n into n
21.293 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.293 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.293 * [taylor]: Taking taylor expansion of (/ i n) in i
21.293 * [taylor]: Taking taylor expansion of i in i
21.293 * [backup-simplify]: Simplify 0 into 0
21.293 * [backup-simplify]: Simplify 1 into 1
21.293 * [taylor]: Taking taylor expansion of n in i
21.293 * [backup-simplify]: Simplify n into n
21.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.293 * [taylor]: Taking taylor expansion of 1 in i
21.293 * [backup-simplify]: Simplify 1 into 1
21.293 * [backup-simplify]: Simplify (+ 0 1) into 1
21.293 * [backup-simplify]: Simplify (log 1) into 0
21.293 * [backup-simplify]: Simplify (* n 0) into 0
21.293 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.294 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.294 * [backup-simplify]: Simplify (exp 0) into 1
21.294 * [taylor]: Taking taylor expansion of 1 in i
21.294 * [backup-simplify]: Simplify 1 into 1
21.294 * [taylor]: Taking taylor expansion of n in i
21.294 * [backup-simplify]: Simplify n into n
21.294 * [taylor]: Taking taylor expansion of i in i
21.294 * [backup-simplify]: Simplify 0 into 0
21.294 * [backup-simplify]: Simplify 1 into 1
21.294 * [backup-simplify]: Simplify (- 1) into -1
21.294 * [backup-simplify]: Simplify (+ 1 -1) into 0
21.294 * [backup-simplify]: Simplify (* 0 n) into 0
21.295 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
21.295 * [backup-simplify]: Simplify (- 0) into 0
21.297 * [backup-simplify]: Simplify (+ 1 0) into 1
21.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
21.298 * [backup-simplify]: Simplify (/ n 1) into n
21.298 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
21.298 * [taylor]: Taking taylor expansion of (* 100 n) in n
21.298 * [taylor]: Taking taylor expansion of 100 in n
21.298 * [backup-simplify]: Simplify 100 into 100
21.298 * [taylor]: Taking taylor expansion of n in n
21.298 * [backup-simplify]: Simplify 0 into 0
21.298 * [backup-simplify]: Simplify 1 into 1
21.299 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
21.299 * [backup-simplify]: Simplify 0 into 0
21.299 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
21.300 * [backup-simplify]: Simplify (+ 0 0) into 0
21.301 * [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))
21.302 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
21.303 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
21.303 * [backup-simplify]: Simplify (- 0) into 0
21.303 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
21.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2)
21.304 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
21.305 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50)
21.305 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n
21.305 * [taylor]: Taking taylor expansion of (* 50 n) in n
21.305 * [taylor]: Taking taylor expansion of 50 in n
21.305 * [backup-simplify]: Simplify 50 into 50
21.305 * [taylor]: Taking taylor expansion of n in n
21.305 * [backup-simplify]: Simplify 0 into 0
21.305 * [backup-simplify]: Simplify 1 into 1
21.305 * [taylor]: Taking taylor expansion of 50 in n
21.305 * [backup-simplify]: Simplify 50 into 50
21.306 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0
21.306 * [backup-simplify]: Simplify (- 0) into 0
21.306 * [backup-simplify]: Simplify (+ 0 0) into 0
21.306 * [backup-simplify]: Simplify 0 into 0
21.307 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
21.307 * [backup-simplify]: Simplify 0 into 0
21.308 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.308 * [backup-simplify]: Simplify (+ 0 0) into 0
21.310 * [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))
21.310 * [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)))
21.311 * [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)))
21.311 * [backup-simplify]: Simplify (- 0) into 0
21.311 * [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)))
21.312 * [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)
21.313 * [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)
21.313 * [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)
21.313 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n
21.313 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n
21.313 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
21.313 * [taylor]: Taking taylor expansion of 50/3 in n
21.313 * [backup-simplify]: Simplify 50/3 into 50/3
21.313 * [taylor]: Taking taylor expansion of n in n
21.313 * [backup-simplify]: Simplify 0 into 0
21.313 * [backup-simplify]: Simplify 1 into 1
21.313 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n
21.313 * [taylor]: Taking taylor expansion of 100/3 in n
21.313 * [backup-simplify]: Simplify 100/3 into 100/3
21.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.313 * [taylor]: Taking taylor expansion of n in n
21.313 * [backup-simplify]: Simplify 0 into 0
21.313 * [backup-simplify]: Simplify 1 into 1
21.314 * [backup-simplify]: Simplify (/ 1 1) into 1
21.314 * [taylor]: Taking taylor expansion of 50 in n
21.314 * [backup-simplify]: Simplify 50 into 50
21.314 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0
21.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.316 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.317 * [backup-simplify]: Simplify (+ 0 0) into 0
21.317 * [backup-simplify]: Simplify (- 0) into 0
21.317 * [backup-simplify]: Simplify (+ 0 0) into 0
21.317 * [backup-simplify]: Simplify 0 into 0
21.318 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
21.318 * [backup-simplify]: Simplify (- 0) into 0
21.318 * [backup-simplify]: Simplify (+ 0 0) into 0
21.318 * [backup-simplify]: Simplify 0 into 0
21.319 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
21.319 * [backup-simplify]: Simplify 0 into 0
21.319 * [backup-simplify]: Simplify 0 into 0
21.319 * [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))
21.319 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in (i n) around 0
21.319 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in n
21.319 * [taylor]: Taking taylor expansion of 100 in n
21.319 * [backup-simplify]: Simplify 100 into 100
21.319 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n
21.319 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n
21.319 * [taylor]: Taking taylor expansion of i in n
21.319 * [backup-simplify]: Simplify i into i
21.319 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
21.319 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
21.319 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
21.319 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
21.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.319 * [taylor]: Taking taylor expansion of n in n
21.319 * [backup-simplify]: Simplify 0 into 0
21.319 * [backup-simplify]: Simplify 1 into 1
21.320 * [backup-simplify]: Simplify (/ 1 1) into 1
21.320 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.320 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.320 * [taylor]: Taking taylor expansion of (/ n i) in n
21.320 * [taylor]: Taking taylor expansion of n in n
21.320 * [backup-simplify]: Simplify 0 into 0
21.320 * [backup-simplify]: Simplify 1 into 1
21.320 * [taylor]: Taking taylor expansion of i in n
21.320 * [backup-simplify]: Simplify i into i
21.320 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.320 * [taylor]: Taking taylor expansion of 1 in n
21.320 * [backup-simplify]: Simplify 1 into 1
21.320 * [backup-simplify]: Simplify (+ 0 1) into 1
21.320 * [backup-simplify]: Simplify (log 1) into 0
21.321 * [backup-simplify]: Simplify (* 1 0) into 0
21.321 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.322 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
21.322 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
21.322 * [taylor]: Taking taylor expansion of 1 in n
21.322 * [backup-simplify]: Simplify 1 into 1
21.322 * [taylor]: Taking taylor expansion of n in n
21.322 * [backup-simplify]: Simplify 0 into 0
21.322 * [backup-simplify]: Simplify 1 into 1
21.322 * [backup-simplify]: Simplify (- 1) into -1
21.322 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1)
21.322 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i)
21.322 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i)
21.322 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
21.322 * [taylor]: Taking taylor expansion of 100 in i
21.322 * [backup-simplify]: Simplify 100 into 100
21.322 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
21.322 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
21.322 * [taylor]: Taking taylor expansion of i in i
21.322 * [backup-simplify]: Simplify 0 into 0
21.322 * [backup-simplify]: Simplify 1 into 1
21.322 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
21.322 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.322 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.322 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.322 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.322 * [taylor]: Taking taylor expansion of n in i
21.323 * [backup-simplify]: Simplify n into n
21.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.323 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.323 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.323 * [taylor]: Taking taylor expansion of (/ n i) in i
21.323 * [taylor]: Taking taylor expansion of n in i
21.323 * [backup-simplify]: Simplify n into n
21.323 * [taylor]: Taking taylor expansion of i in i
21.323 * [backup-simplify]: Simplify 0 into 0
21.323 * [backup-simplify]: Simplify 1 into 1
21.323 * [backup-simplify]: Simplify (/ n 1) into n
21.323 * [taylor]: Taking taylor expansion of 1 in i
21.323 * [backup-simplify]: Simplify 1 into 1
21.323 * [backup-simplify]: Simplify (+ n 0) into n
21.323 * [backup-simplify]: Simplify (log n) into (log n)
21.323 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.323 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.323 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.323 * [taylor]: Taking taylor expansion of 1 in i
21.323 * [backup-simplify]: Simplify 1 into 1
21.323 * [taylor]: Taking taylor expansion of n in i
21.323 * [backup-simplify]: Simplify n into n
21.324 * [backup-simplify]: Simplify (- 1) into -1
21.324 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.324 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
21.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.325 * [backup-simplify]: Simplify (+ 0 1) into 1
21.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
21.325 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.325 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
21.326 * [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))
21.326 * [backup-simplify]: Simplify (- 0) into 0
21.326 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
21.326 * [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)
21.326 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
21.326 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i
21.326 * [taylor]: Taking taylor expansion of 100 in i
21.326 * [backup-simplify]: Simplify 100 into 100
21.326 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i
21.326 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i
21.326 * [taylor]: Taking taylor expansion of i in i
21.326 * [backup-simplify]: Simplify 0 into 0
21.326 * [backup-simplify]: Simplify 1 into 1
21.326 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
21.326 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.326 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.326 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.327 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.327 * [taylor]: Taking taylor expansion of n in i
21.327 * [backup-simplify]: Simplify n into n
21.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.327 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.327 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.327 * [taylor]: Taking taylor expansion of (/ n i) in i
21.327 * [taylor]: Taking taylor expansion of n in i
21.327 * [backup-simplify]: Simplify n into n
21.327 * [taylor]: Taking taylor expansion of i in i
21.327 * [backup-simplify]: Simplify 0 into 0
21.327 * [backup-simplify]: Simplify 1 into 1
21.327 * [backup-simplify]: Simplify (/ n 1) into n
21.327 * [taylor]: Taking taylor expansion of 1 in i
21.327 * [backup-simplify]: Simplify 1 into 1
21.327 * [backup-simplify]: Simplify (+ n 0) into n
21.327 * [backup-simplify]: Simplify (log n) into (log n)
21.327 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.327 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.327 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.327 * [taylor]: Taking taylor expansion of 1 in i
21.327 * [backup-simplify]: Simplify 1 into 1
21.327 * [taylor]: Taking taylor expansion of n in i
21.327 * [backup-simplify]: Simplify n into n
21.328 * [backup-simplify]: Simplify (- 1) into -1
21.328 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.328 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0
21.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.329 * [backup-simplify]: Simplify (+ 0 1) into 1
21.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
21.329 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.329 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
21.330 * [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))
21.330 * [backup-simplify]: Simplify (- 0) into 0
21.330 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
21.330 * [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)
21.330 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)
21.330 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))
21.330 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n
21.330 * [taylor]: Taking taylor expansion of 100 in n
21.330 * [backup-simplify]: Simplify 100 into 100
21.330 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n
21.330 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
21.330 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.330 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.330 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.331 * [taylor]: Taking taylor expansion of (log n) in n
21.331 * [taylor]: Taking taylor expansion of n in n
21.331 * [backup-simplify]: Simplify 0 into 0
21.331 * [backup-simplify]: Simplify 1 into 1
21.331 * [backup-simplify]: Simplify (log 1) into 0
21.331 * [taylor]: Taking taylor expansion of (log i) in n
21.331 * [taylor]: Taking taylor expansion of i in n
21.331 * [backup-simplify]: Simplify i into i
21.331 * [backup-simplify]: Simplify (log i) into (log i)
21.331 * [taylor]: Taking taylor expansion of n in n
21.331 * [backup-simplify]: Simplify 0 into 0
21.331 * [backup-simplify]: Simplify 1 into 1
21.331 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.331 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.331 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.331 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.331 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.331 * [taylor]: Taking taylor expansion of 1 in n
21.331 * [backup-simplify]: Simplify 1 into 1
21.331 * [taylor]: Taking taylor expansion of n in n
21.331 * [backup-simplify]: Simplify 0 into 0
21.331 * [backup-simplify]: Simplify 1 into 1
21.332 * [backup-simplify]: Simplify (- 1) into -1
21.332 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.332 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.332 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
21.332 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1))
21.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.333 * [backup-simplify]: Simplify (+ 0 0) into 0
21.334 * [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))
21.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.335 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.335 * [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))))
21.335 * [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)))
21.335 * [backup-simplify]: Simplify (- 0) into 0
21.335 * [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))))
21.336 * [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))
21.336 * [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))
21.337 * [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)))
21.337 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
21.337 * [taylor]: Taking taylor expansion of 100 in n
21.337 * [backup-simplify]: Simplify 100 into 100
21.337 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
21.337 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.337 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.337 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.337 * [taylor]: Taking taylor expansion of (log n) in n
21.337 * [taylor]: Taking taylor expansion of n in n
21.337 * [backup-simplify]: Simplify 0 into 0
21.337 * [backup-simplify]: Simplify 1 into 1
21.337 * [backup-simplify]: Simplify (log 1) into 0
21.337 * [taylor]: Taking taylor expansion of (log i) in n
21.337 * [taylor]: Taking taylor expansion of i in n
21.337 * [backup-simplify]: Simplify i into i
21.337 * [backup-simplify]: Simplify (log i) into (log i)
21.337 * [taylor]: Taking taylor expansion of n in n
21.337 * [backup-simplify]: Simplify 0 into 0
21.337 * [backup-simplify]: Simplify 1 into 1
21.338 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.338 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.338 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.338 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.338 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.338 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.338 * [taylor]: Taking taylor expansion of n in n
21.338 * [backup-simplify]: Simplify 0 into 0
21.338 * [backup-simplify]: Simplify 1 into 1
21.338 * [backup-simplify]: Simplify (* 1 1) into 1
21.338 * [backup-simplify]: Simplify (* 1 1) into 1
21.339 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.342 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0
21.342 * [backup-simplify]: Simplify 0 into 0
21.343 * [backup-simplify]: Simplify (- 0) into 0
21.343 * [backup-simplify]: Simplify (+ 0 0) into 0
21.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0
21.344 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0
21.344 * [backup-simplify]: Simplify 0 into 0
21.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.345 * [backup-simplify]: Simplify (+ 0 0) into 0
21.347 * [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))
21.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.347 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.348 * [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)))
21.348 * [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)))))
21.348 * [backup-simplify]: Simplify (- 0) into 0
21.349 * [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))))
21.350 * [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))))
21.350 * [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))))
21.351 * [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))))
21.351 * [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
21.351 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
21.351 * [taylor]: Taking taylor expansion of 50 in n
21.351 * [backup-simplify]: Simplify 50 into 50
21.351 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
21.351 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.351 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.351 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.351 * [taylor]: Taking taylor expansion of (log n) in n
21.351 * [taylor]: Taking taylor expansion of n in n
21.351 * [backup-simplify]: Simplify 0 into 0
21.351 * [backup-simplify]: Simplify 1 into 1
21.351 * [backup-simplify]: Simplify (log 1) into 0
21.351 * [taylor]: Taking taylor expansion of (log i) in n
21.351 * [taylor]: Taking taylor expansion of i in n
21.351 * [backup-simplify]: Simplify i into i
21.351 * [backup-simplify]: Simplify (log i) into (log i)
21.351 * [taylor]: Taking taylor expansion of n in n
21.351 * [backup-simplify]: Simplify 0 into 0
21.351 * [backup-simplify]: Simplify 1 into 1
21.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.352 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.352 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.352 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.352 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.352 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.352 * [taylor]: Taking taylor expansion of n in n
21.352 * [backup-simplify]: Simplify 0 into 0
21.352 * [backup-simplify]: Simplify 1 into 1
21.352 * [backup-simplify]: Simplify (* 1 1) into 1
21.352 * [backup-simplify]: Simplify (* 1 1) into 1
21.353 * [backup-simplify]: Simplify (* 1 1) into 1
21.353 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.353 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
21.353 * [taylor]: Taking taylor expansion of 50 in n
21.353 * [backup-simplify]: Simplify 50 into 50
21.353 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
21.353 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.353 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.353 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.353 * [taylor]: Taking taylor expansion of (log n) in n
21.353 * [taylor]: Taking taylor expansion of n in n
21.353 * [backup-simplify]: Simplify 0 into 0
21.353 * [backup-simplify]: Simplify 1 into 1
21.353 * [backup-simplify]: Simplify (log 1) into 0
21.353 * [taylor]: Taking taylor expansion of (log i) in n
21.353 * [taylor]: Taking taylor expansion of i in n
21.353 * [backup-simplify]: Simplify i into i
21.353 * [backup-simplify]: Simplify (log i) into (log i)
21.353 * [taylor]: Taking taylor expansion of n in n
21.353 * [backup-simplify]: Simplify 0 into 0
21.353 * [backup-simplify]: Simplify 1 into 1
21.353 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.354 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.354 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.354 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.354 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.354 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.354 * [taylor]: Taking taylor expansion of n in n
21.354 * [backup-simplify]: Simplify 0 into 0
21.354 * [backup-simplify]: Simplify 1 into 1
21.354 * [backup-simplify]: Simplify (* 1 1) into 1
21.354 * [backup-simplify]: Simplify (* 1 1) into 1
21.354 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.366 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
21.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.373 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
21.373 * [backup-simplify]: Simplify (- 0) into 0
21.373 * [backup-simplify]: Simplify (+ 0 0) into 0
21.373 * [backup-simplify]: Simplify 0 into 0
21.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.376 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
21.376 * [backup-simplify]: Simplify 0 into 0
21.377 * [backup-simplify]: Simplify (- 0) into 0
21.377 * [backup-simplify]: Simplify (+ 0 0) into 0
21.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.378 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0
21.378 * [backup-simplify]: Simplify 0 into 0
21.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.380 * [backup-simplify]: Simplify (+ 0 0) into 0
21.383 * [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))
21.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.385 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.385 * [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))))
21.386 * [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))))))
21.386 * [backup-simplify]: Simplify (- 0) into 0
21.387 * [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)))))
21.388 * [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))))
21.389 * [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))))
21.390 * [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))))
21.390 * [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
21.390 * [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
21.390 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
21.390 * [taylor]: Taking taylor expansion of 50/3 in n
21.390 * [backup-simplify]: Simplify 50/3 into 50/3
21.390 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
21.390 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.390 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.390 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.390 * [taylor]: Taking taylor expansion of (log n) in n
21.390 * [taylor]: Taking taylor expansion of n in n
21.390 * [backup-simplify]: Simplify 0 into 0
21.390 * [backup-simplify]: Simplify 1 into 1
21.391 * [backup-simplify]: Simplify (log 1) into 0
21.391 * [taylor]: Taking taylor expansion of (log i) in n
21.391 * [taylor]: Taking taylor expansion of i in n
21.391 * [backup-simplify]: Simplify i into i
21.391 * [backup-simplify]: Simplify (log i) into (log i)
21.391 * [taylor]: Taking taylor expansion of n in n
21.391 * [backup-simplify]: Simplify 0 into 0
21.391 * [backup-simplify]: Simplify 1 into 1
21.391 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.391 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.391 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.391 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.391 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.391 * [taylor]: Taking taylor expansion of (pow n 7) in n
21.391 * [taylor]: Taking taylor expansion of n in n
21.391 * [backup-simplify]: Simplify 0 into 0
21.391 * [backup-simplify]: Simplify 1 into 1
21.392 * [backup-simplify]: Simplify (* 1 1) into 1
21.392 * [backup-simplify]: Simplify (* 1 1) into 1
21.392 * [backup-simplify]: Simplify (* 1 1) into 1
21.392 * [backup-simplify]: Simplify (* 1 1) into 1
21.393 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.393 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
21.393 * [taylor]: Taking taylor expansion of 100/3 in n
21.393 * [backup-simplify]: Simplify 100/3 into 100/3
21.393 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
21.393 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.393 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.393 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.393 * [taylor]: Taking taylor expansion of (log n) in n
21.393 * [taylor]: Taking taylor expansion of n in n
21.393 * [backup-simplify]: Simplify 0 into 0
21.393 * [backup-simplify]: Simplify 1 into 1
21.393 * [backup-simplify]: Simplify (log 1) into 0
21.393 * [taylor]: Taking taylor expansion of (log i) in n
21.393 * [taylor]: Taking taylor expansion of i in n
21.393 * [backup-simplify]: Simplify i into i
21.393 * [backup-simplify]: Simplify (log i) into (log i)
21.393 * [taylor]: Taking taylor expansion of n in n
21.393 * [backup-simplify]: Simplify 0 into 0
21.393 * [backup-simplify]: Simplify 1 into 1
21.393 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.393 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.393 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.394 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.394 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.394 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.394 * [taylor]: Taking taylor expansion of n in n
21.394 * [backup-simplify]: Simplify 0 into 0
21.394 * [backup-simplify]: Simplify 1 into 1
21.394 * [backup-simplify]: Simplify (* 1 1) into 1
21.394 * [backup-simplify]: Simplify (* 1 1) into 1
21.394 * [backup-simplify]: Simplify (* 1 1) into 1
21.394 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.395 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
21.395 * [taylor]: Taking taylor expansion of 50 in n
21.395 * [backup-simplify]: Simplify 50 into 50
21.395 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
21.395 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.395 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.395 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.395 * [taylor]: Taking taylor expansion of (log n) in n
21.395 * [taylor]: Taking taylor expansion of n in n
21.395 * [backup-simplify]: Simplify 0 into 0
21.395 * [backup-simplify]: Simplify 1 into 1
21.395 * [backup-simplify]: Simplify (log 1) into 0
21.395 * [taylor]: Taking taylor expansion of (log i) in n
21.395 * [taylor]: Taking taylor expansion of i in n
21.395 * [backup-simplify]: Simplify i into i
21.395 * [backup-simplify]: Simplify (log i) into (log i)
21.395 * [taylor]: Taking taylor expansion of n in n
21.395 * [backup-simplify]: Simplify 0 into 0
21.395 * [backup-simplify]: Simplify 1 into 1
21.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.395 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.395 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.395 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.396 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.396 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.396 * [taylor]: Taking taylor expansion of n in n
21.396 * [backup-simplify]: Simplify 0 into 0
21.396 * [backup-simplify]: Simplify 1 into 1
21.396 * [backup-simplify]: Simplify (* 1 1) into 1
21.396 * [backup-simplify]: Simplify (* 1 1) into 1
21.396 * [backup-simplify]: Simplify (* 1 1) into 1
21.396 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.418 * [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
21.420 * [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
21.421 * [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
21.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.433 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
21.433 * [backup-simplify]: Simplify (+ 0 0) into 0
21.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.447 * [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
21.449 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
21.449 * [backup-simplify]: Simplify (- 0) into 0
21.449 * [backup-simplify]: Simplify (+ 0 0) into 0
21.449 * [backup-simplify]: Simplify 0 into 0
21.449 * [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))
21.449 * [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))
21.449 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in (i n) around 0
21.450 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in n
21.450 * [taylor]: Taking taylor expansion of 100 in n
21.450 * [backup-simplify]: Simplify 100 into 100
21.450 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n
21.450 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n
21.450 * [taylor]: Taking taylor expansion of i in n
21.450 * [backup-simplify]: Simplify i into i
21.450 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
21.450 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
21.450 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
21.450 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
21.450 * [taylor]: Taking taylor expansion of (/ -1 n) in n
21.450 * [taylor]: Taking taylor expansion of -1 in n
21.450 * [backup-simplify]: Simplify -1 into -1
21.450 * [taylor]: Taking taylor expansion of n in n
21.450 * [backup-simplify]: Simplify 0 into 0
21.450 * [backup-simplify]: Simplify 1 into 1
21.450 * [backup-simplify]: Simplify (/ -1 1) into -1
21.450 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.450 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.450 * [taylor]: Taking taylor expansion of (/ n i) in n
21.450 * [taylor]: Taking taylor expansion of n in n
21.450 * [backup-simplify]: Simplify 0 into 0
21.450 * [backup-simplify]: Simplify 1 into 1
21.450 * [taylor]: Taking taylor expansion of i in n
21.450 * [backup-simplify]: Simplify i into i
21.450 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.450 * [taylor]: Taking taylor expansion of 1 in n
21.450 * [backup-simplify]: Simplify 1 into 1
21.450 * [backup-simplify]: Simplify (+ 0 1) into 1
21.451 * [backup-simplify]: Simplify (log 1) into 0
21.451 * [backup-simplify]: Simplify (* -1 0) into 0
21.451 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
21.452 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
21.452 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
21.452 * [taylor]: Taking taylor expansion of 1 in n
21.452 * [backup-simplify]: Simplify 1 into 1
21.452 * [taylor]: Taking taylor expansion of n in n
21.452 * [backup-simplify]: Simplify 0 into 0
21.452 * [backup-simplify]: Simplify 1 into 1
21.453 * [backup-simplify]: Simplify (- 1) into -1
21.453 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1)
21.453 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1))
21.453 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1))
21.453 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
21.453 * [taylor]: Taking taylor expansion of 100 in i
21.453 * [backup-simplify]: Simplify 100 into 100
21.453 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
21.453 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
21.453 * [taylor]: Taking taylor expansion of i in i
21.453 * [backup-simplify]: Simplify 0 into 0
21.453 * [backup-simplify]: Simplify 1 into 1
21.453 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
21.453 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.453 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.453 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.453 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.453 * [taylor]: Taking taylor expansion of -1 in i
21.453 * [backup-simplify]: Simplify -1 into -1
21.453 * [taylor]: Taking taylor expansion of n in i
21.453 * [backup-simplify]: Simplify n into n
21.453 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.453 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.453 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.453 * [taylor]: Taking taylor expansion of (/ n i) in i
21.453 * [taylor]: Taking taylor expansion of n in i
21.453 * [backup-simplify]: Simplify n into n
21.453 * [taylor]: Taking taylor expansion of i in i
21.453 * [backup-simplify]: Simplify 0 into 0
21.453 * [backup-simplify]: Simplify 1 into 1
21.453 * [backup-simplify]: Simplify (/ n 1) into n
21.453 * [taylor]: Taking taylor expansion of 1 in i
21.453 * [backup-simplify]: Simplify 1 into 1
21.453 * [backup-simplify]: Simplify (+ n 0) into n
21.453 * [backup-simplify]: Simplify (log n) into (log n)
21.454 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.454 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.454 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.454 * [taylor]: Taking taylor expansion of 1 in i
21.454 * [backup-simplify]: Simplify 1 into 1
21.454 * [taylor]: Taking taylor expansion of n in i
21.454 * [backup-simplify]: Simplify n into n
21.454 * [backup-simplify]: Simplify (- 1) into -1
21.454 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.454 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
21.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.455 * [backup-simplify]: Simplify (+ 0 1) into 1
21.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.456 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
21.456 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.456 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
21.456 * [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)))
21.456 * [backup-simplify]: Simplify (- 0) into 0
21.457 * [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)))
21.457 * [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)
21.457 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
21.457 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i
21.457 * [taylor]: Taking taylor expansion of 100 in i
21.457 * [backup-simplify]: Simplify 100 into 100
21.457 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i
21.457 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i
21.457 * [taylor]: Taking taylor expansion of i in i
21.457 * [backup-simplify]: Simplify 0 into 0
21.457 * [backup-simplify]: Simplify 1 into 1
21.457 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
21.457 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.457 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.457 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.457 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.457 * [taylor]: Taking taylor expansion of -1 in i
21.457 * [backup-simplify]: Simplify -1 into -1
21.457 * [taylor]: Taking taylor expansion of n in i
21.457 * [backup-simplify]: Simplify n into n
21.457 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.457 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.457 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.457 * [taylor]: Taking taylor expansion of (/ n i) in i
21.457 * [taylor]: Taking taylor expansion of n in i
21.457 * [backup-simplify]: Simplify n into n
21.457 * [taylor]: Taking taylor expansion of i in i
21.458 * [backup-simplify]: Simplify 0 into 0
21.458 * [backup-simplify]: Simplify 1 into 1
21.458 * [backup-simplify]: Simplify (/ n 1) into n
21.458 * [taylor]: Taking taylor expansion of 1 in i
21.458 * [backup-simplify]: Simplify 1 into 1
21.458 * [backup-simplify]: Simplify (+ n 0) into n
21.458 * [backup-simplify]: Simplify (log n) into (log n)
21.458 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.458 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.458 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.458 * [taylor]: Taking taylor expansion of 1 in i
21.458 * [backup-simplify]: Simplify 1 into 1
21.458 * [taylor]: Taking taylor expansion of n in i
21.458 * [backup-simplify]: Simplify n into n
21.458 * [backup-simplify]: Simplify (- 1) into -1
21.459 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.459 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0
21.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.460 * [backup-simplify]: Simplify (+ 0 1) into 1
21.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.460 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
21.460 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.460 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
21.461 * [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)))
21.461 * [backup-simplify]: Simplify (- 0) into 0
21.461 * [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)))
21.461 * [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)
21.461 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)
21.462 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))
21.462 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n
21.462 * [taylor]: Taking taylor expansion of 100 in n
21.462 * [backup-simplify]: Simplify 100 into 100
21.462 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n
21.462 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
21.462 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.462 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.462 * [taylor]: Taking taylor expansion of -1 in n
21.462 * [backup-simplify]: Simplify -1 into -1
21.462 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.462 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.462 * [taylor]: Taking taylor expansion of (log n) in n
21.462 * [taylor]: Taking taylor expansion of n in n
21.462 * [backup-simplify]: Simplify 0 into 0
21.462 * [backup-simplify]: Simplify 1 into 1
21.462 * [backup-simplify]: Simplify (log 1) into 0
21.462 * [taylor]: Taking taylor expansion of (log i) in n
21.462 * [taylor]: Taking taylor expansion of i in n
21.462 * [backup-simplify]: Simplify i into i
21.462 * [backup-simplify]: Simplify (log i) into (log i)
21.462 * [taylor]: Taking taylor expansion of n in n
21.462 * [backup-simplify]: Simplify 0 into 0
21.462 * [backup-simplify]: Simplify 1 into 1
21.462 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.462 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.462 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.463 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.463 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.463 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.463 * [taylor]: Taking taylor expansion of 1 in n
21.463 * [backup-simplify]: Simplify 1 into 1
21.463 * [taylor]: Taking taylor expansion of n in n
21.463 * [backup-simplify]: Simplify 0 into 0
21.463 * [backup-simplify]: Simplify 1 into 1
21.463 * [backup-simplify]: Simplify (- 1) into -1
21.463 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.463 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.463 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
21.463 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))
21.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.465 * [backup-simplify]: Simplify (+ 0 0) into 0
21.465 * [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))
21.466 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.466 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.466 * [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)))
21.466 * [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)))))
21.468 * [backup-simplify]: Simplify (- 0) into 0
21.468 * [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))))
21.469 * [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)))
21.469 * [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)))
21.469 * [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))))
21.469 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n
21.469 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
21.469 * [taylor]: Taking taylor expansion of 100 in n
21.470 * [backup-simplify]: Simplify 100 into 100
21.470 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
21.470 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.470 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.470 * [taylor]: Taking taylor expansion of -1 in n
21.470 * [backup-simplify]: Simplify -1 into -1
21.470 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.470 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.470 * [taylor]: Taking taylor expansion of (log n) in n
21.470 * [taylor]: Taking taylor expansion of n in n
21.470 * [backup-simplify]: Simplify 0 into 0
21.470 * [backup-simplify]: Simplify 1 into 1
21.470 * [backup-simplify]: Simplify (log 1) into 0
21.470 * [taylor]: Taking taylor expansion of (log i) in n
21.470 * [taylor]: Taking taylor expansion of i in n
21.470 * [backup-simplify]: Simplify i into i
21.470 * [backup-simplify]: Simplify (log i) into (log i)
21.470 * [taylor]: Taking taylor expansion of n in n
21.470 * [backup-simplify]: Simplify 0 into 0
21.470 * [backup-simplify]: Simplify 1 into 1
21.470 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.470 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.470 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.471 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.471 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.471 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.471 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.471 * [taylor]: Taking taylor expansion of n in n
21.471 * [backup-simplify]: Simplify 0 into 0
21.471 * [backup-simplify]: Simplify 1 into 1
21.471 * [backup-simplify]: Simplify (* 1 1) into 1
21.471 * [backup-simplify]: Simplify (* 1 1) into 1
21.471 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.475 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
21.476 * [backup-simplify]: Simplify (- 0) into 0
21.476 * [backup-simplify]: Simplify 0 into 0
21.476 * [backup-simplify]: Simplify (- 0) into 0
21.476 * [backup-simplify]: Simplify (+ 0 0) into 0
21.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0
21.477 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0
21.477 * [backup-simplify]: Simplify 0 into 0
21.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.479 * [backup-simplify]: Simplify (+ 0 0) into 0
21.480 * [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))
21.480 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.480 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.481 * [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))))
21.481 * [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)))))))
21.481 * [backup-simplify]: Simplify (- 0) into 0
21.482 * [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))))))
21.483 * [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))))
21.483 * [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))))
21.484 * [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))))
21.484 * [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
21.484 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
21.484 * [taylor]: Taking taylor expansion of 50 in n
21.484 * [backup-simplify]: Simplify 50 into 50
21.484 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
21.484 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.484 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.484 * [taylor]: Taking taylor expansion of -1 in n
21.484 * [backup-simplify]: Simplify -1 into -1
21.484 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.484 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.484 * [taylor]: Taking taylor expansion of (log n) in n
21.484 * [taylor]: Taking taylor expansion of n in n
21.484 * [backup-simplify]: Simplify 0 into 0
21.484 * [backup-simplify]: Simplify 1 into 1
21.484 * [backup-simplify]: Simplify (log 1) into 0
21.485 * [taylor]: Taking taylor expansion of (log i) in n
21.485 * [taylor]: Taking taylor expansion of i in n
21.485 * [backup-simplify]: Simplify i into i
21.485 * [backup-simplify]: Simplify (log i) into (log i)
21.485 * [taylor]: Taking taylor expansion of n in n
21.485 * [backup-simplify]: Simplify 0 into 0
21.485 * [backup-simplify]: Simplify 1 into 1
21.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.485 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.485 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.485 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.485 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.485 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.485 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.485 * [taylor]: Taking taylor expansion of n in n
21.485 * [backup-simplify]: Simplify 0 into 0
21.485 * [backup-simplify]: Simplify 1 into 1
21.485 * [backup-simplify]: Simplify (* 1 1) into 1
21.486 * [backup-simplify]: Simplify (* 1 1) into 1
21.486 * [backup-simplify]: Simplify (* 1 1) into 1
21.486 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.486 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
21.486 * [taylor]: Taking taylor expansion of 50 in n
21.486 * [backup-simplify]: Simplify 50 into 50
21.486 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
21.486 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.486 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.486 * [taylor]: Taking taylor expansion of -1 in n
21.486 * [backup-simplify]: Simplify -1 into -1
21.486 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.486 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.486 * [taylor]: Taking taylor expansion of (log n) in n
21.486 * [taylor]: Taking taylor expansion of n in n
21.486 * [backup-simplify]: Simplify 0 into 0
21.486 * [backup-simplify]: Simplify 1 into 1
21.486 * [backup-simplify]: Simplify (log 1) into 0
21.487 * [taylor]: Taking taylor expansion of (log i) in n
21.487 * [taylor]: Taking taylor expansion of i in n
21.487 * [backup-simplify]: Simplify i into i
21.487 * [backup-simplify]: Simplify (log i) into (log i)
21.487 * [taylor]: Taking taylor expansion of n in n
21.487 * [backup-simplify]: Simplify 0 into 0
21.487 * [backup-simplify]: Simplify 1 into 1
21.487 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.487 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.487 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.487 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.487 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.487 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.487 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.487 * [taylor]: Taking taylor expansion of n in n
21.487 * [backup-simplify]: Simplify 0 into 0
21.487 * [backup-simplify]: Simplify 1 into 1
21.487 * [backup-simplify]: Simplify (* 1 1) into 1
21.488 * [backup-simplify]: Simplify (* 1 1) into 1
21.488 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.498 * [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
21.499 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
21.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.506 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
21.506 * [backup-simplify]: Simplify (+ 0 0) into 0
21.506 * [backup-simplify]: Simplify 0 into 0
21.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.510 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
21.510 * [backup-simplify]: Simplify (- 0) into 0
21.510 * [backup-simplify]: Simplify 0 into 0
21.510 * [backup-simplify]: Simplify (- 0) into 0
21.510 * [backup-simplify]: Simplify (+ 0 0) into 0
21.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.512 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0
21.512 * [backup-simplify]: Simplify 0 into 0
21.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.514 * [backup-simplify]: Simplify (+ 0 0) into 0
21.516 * [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))
21.516 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.517 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.517 * [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)))
21.518 * [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)))))))
21.518 * [backup-simplify]: Simplify (- 0) into 0
21.518 * [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))))))
21.520 * [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))))))
21.521 * [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))))))
21.522 * [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))))))
21.523 * [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
21.523 * [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
21.523 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
21.523 * [taylor]: Taking taylor expansion of 50/3 in n
21.523 * [backup-simplify]: Simplify 50/3 into 50/3
21.523 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
21.523 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.523 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.523 * [taylor]: Taking taylor expansion of -1 in n
21.523 * [backup-simplify]: Simplify -1 into -1
21.523 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.523 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.523 * [taylor]: Taking taylor expansion of (log n) in n
21.523 * [taylor]: Taking taylor expansion of n in n
21.523 * [backup-simplify]: Simplify 0 into 0
21.523 * [backup-simplify]: Simplify 1 into 1
21.523 * [backup-simplify]: Simplify (log 1) into 0
21.523 * [taylor]: Taking taylor expansion of (log i) in n
21.523 * [taylor]: Taking taylor expansion of i in n
21.523 * [backup-simplify]: Simplify i into i
21.523 * [backup-simplify]: Simplify (log i) into (log i)
21.523 * [taylor]: Taking taylor expansion of n in n
21.523 * [backup-simplify]: Simplify 0 into 0
21.523 * [backup-simplify]: Simplify 1 into 1
21.523 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.524 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.524 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.524 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.524 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.524 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.524 * [taylor]: Taking taylor expansion of (pow n 7) in n
21.524 * [taylor]: Taking taylor expansion of n in n
21.524 * [backup-simplify]: Simplify 0 into 0
21.524 * [backup-simplify]: Simplify 1 into 1
21.524 * [backup-simplify]: Simplify (* 1 1) into 1
21.524 * [backup-simplify]: Simplify (* 1 1) into 1
21.525 * [backup-simplify]: Simplify (* 1 1) into 1
21.525 * [backup-simplify]: Simplify (* 1 1) into 1
21.525 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.525 * [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
21.525 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
21.525 * [taylor]: Taking taylor expansion of 100/3 in n
21.525 * [backup-simplify]: Simplify 100/3 into 100/3
21.525 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
21.525 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.525 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.525 * [taylor]: Taking taylor expansion of -1 in n
21.525 * [backup-simplify]: Simplify -1 into -1
21.525 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.525 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.525 * [taylor]: Taking taylor expansion of (log n) in n
21.525 * [taylor]: Taking taylor expansion of n in n
21.525 * [backup-simplify]: Simplify 0 into 0
21.525 * [backup-simplify]: Simplify 1 into 1
21.525 * [backup-simplify]: Simplify (log 1) into 0
21.525 * [taylor]: Taking taylor expansion of (log i) in n
21.525 * [taylor]: Taking taylor expansion of i in n
21.525 * [backup-simplify]: Simplify i into i
21.525 * [backup-simplify]: Simplify (log i) into (log i)
21.525 * [taylor]: Taking taylor expansion of n in n
21.526 * [backup-simplify]: Simplify 0 into 0
21.526 * [backup-simplify]: Simplify 1 into 1
21.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.526 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.526 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.526 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.526 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.526 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.526 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.526 * [taylor]: Taking taylor expansion of n in n
21.526 * [backup-simplify]: Simplify 0 into 0
21.526 * [backup-simplify]: Simplify 1 into 1
21.526 * [backup-simplify]: Simplify (* 1 1) into 1
21.527 * [backup-simplify]: Simplify (* 1 1) into 1
21.527 * [backup-simplify]: Simplify (* 1 1) into 1
21.527 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.527 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
21.527 * [taylor]: Taking taylor expansion of 50 in n
21.527 * [backup-simplify]: Simplify 50 into 50
21.527 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
21.527 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.527 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.527 * [taylor]: Taking taylor expansion of -1 in n
21.527 * [backup-simplify]: Simplify -1 into -1
21.527 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.527 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.527 * [taylor]: Taking taylor expansion of (log n) in n
21.527 * [taylor]: Taking taylor expansion of n in n
21.527 * [backup-simplify]: Simplify 0 into 0
21.527 * [backup-simplify]: Simplify 1 into 1
21.527 * [backup-simplify]: Simplify (log 1) into 0
21.527 * [taylor]: Taking taylor expansion of (log i) in n
21.527 * [taylor]: Taking taylor expansion of i in n
21.528 * [backup-simplify]: Simplify i into i
21.528 * [backup-simplify]: Simplify (log i) into (log i)
21.528 * [taylor]: Taking taylor expansion of n in n
21.528 * [backup-simplify]: Simplify 0 into 0
21.528 * [backup-simplify]: Simplify 1 into 1
21.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.528 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.528 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.528 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.528 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.528 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.528 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.528 * [taylor]: Taking taylor expansion of n in n
21.528 * [backup-simplify]: Simplify 0 into 0
21.528 * [backup-simplify]: Simplify 1 into 1
21.528 * [backup-simplify]: Simplify (* 1 1) into 1
21.529 * [backup-simplify]: Simplify (* 1 1) into 1
21.529 * [backup-simplify]: Simplify (* 1 1) into 1
21.529 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.550 * [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
21.552 * [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
21.554 * [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
21.555 * [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
21.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.566 * [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
21.567 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
21.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.580 * [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
21.582 * [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
21.583 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
21.583 * [backup-simplify]: Simplify (+ 0 0) into 0
21.584 * [backup-simplify]: Simplify (+ 0 0) into 0
21.584 * [backup-simplify]: Simplify (- 0) into 0
21.584 * [backup-simplify]: Simplify 0 into 0
21.584 * [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))
21.584 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1)
21.584 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n)
21.585 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0
21.585 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
21.585 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
21.585 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
21.585 * [taylor]: Taking taylor expansion of n in n
21.585 * [backup-simplify]: Simplify 0 into 0
21.585 * [backup-simplify]: Simplify 1 into 1
21.585 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
21.585 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
21.585 * [taylor]: Taking taylor expansion of (/ i n) in n
21.585 * [taylor]: Taking taylor expansion of i in n
21.585 * [backup-simplify]: Simplify i into i
21.585 * [taylor]: Taking taylor expansion of n in n
21.585 * [backup-simplify]: Simplify 0 into 0
21.585 * [backup-simplify]: Simplify 1 into 1
21.585 * [backup-simplify]: Simplify (/ i 1) into i
21.585 * [taylor]: Taking taylor expansion of 1 in n
21.585 * [backup-simplify]: Simplify 1 into 1
21.585 * [backup-simplify]: Simplify (+ i 0) into i
21.585 * [backup-simplify]: Simplify (log i) into (log i)
21.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.585 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
21.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
21.586 * [backup-simplify]: Simplify (+ 0 1) into 1
21.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
21.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.587 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
21.587 * [backup-simplify]: Simplify (exp 0) into 1
21.587 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.587 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.587 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.587 * [taylor]: Taking taylor expansion of n in i
21.587 * [backup-simplify]: Simplify n into n
21.587 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.587 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.587 * [taylor]: Taking taylor expansion of (/ i n) in i
21.587 * [taylor]: Taking taylor expansion of i in i
21.587 * [backup-simplify]: Simplify 0 into 0
21.587 * [backup-simplify]: Simplify 1 into 1
21.587 * [taylor]: Taking taylor expansion of n in i
21.587 * [backup-simplify]: Simplify n into n
21.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.587 * [taylor]: Taking taylor expansion of 1 in i
21.587 * [backup-simplify]: Simplify 1 into 1
21.587 * [backup-simplify]: Simplify (+ 0 1) into 1
21.588 * [backup-simplify]: Simplify (log 1) into 0
21.588 * [backup-simplify]: Simplify (* n 0) into 0
21.588 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.588 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.588 * [backup-simplify]: Simplify (exp 0) into 1
21.588 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.588 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.589 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.589 * [taylor]: Taking taylor expansion of n in i
21.589 * [backup-simplify]: Simplify n into n
21.589 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.589 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.589 * [taylor]: Taking taylor expansion of (/ i n) in i
21.589 * [taylor]: Taking taylor expansion of i in i
21.589 * [backup-simplify]: Simplify 0 into 0
21.589 * [backup-simplify]: Simplify 1 into 1
21.589 * [taylor]: Taking taylor expansion of n in i
21.589 * [backup-simplify]: Simplify n into n
21.589 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.589 * [taylor]: Taking taylor expansion of 1 in i
21.589 * [backup-simplify]: Simplify 1 into 1
21.589 * [backup-simplify]: Simplify (+ 0 1) into 1
21.589 * [backup-simplify]: Simplify (log 1) into 0
21.589 * [backup-simplify]: Simplify (* n 0) into 0
21.589 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.590 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.590 * [backup-simplify]: Simplify (exp 0) into 1
21.590 * [taylor]: Taking taylor expansion of 1 in n
21.590 * [backup-simplify]: Simplify 1 into 1
21.590 * [backup-simplify]: Simplify 1 into 1
21.591 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
21.591 * [taylor]: Taking taylor expansion of 1 in n
21.591 * [backup-simplify]: Simplify 1 into 1
21.591 * [backup-simplify]: Simplify 1 into 1
21.591 * [backup-simplify]: Simplify 0 into 0
21.591 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
21.591 * [backup-simplify]: Simplify (+ 0 0) into 0
21.592 * [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))
21.593 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
21.593 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
21.593 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
21.593 * [taylor]: Taking taylor expansion of 1/2 in n
21.593 * [backup-simplify]: Simplify 1/2 into 1/2
21.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
21.593 * [taylor]: Taking taylor expansion of 1/2 in n
21.593 * [backup-simplify]: Simplify 1/2 into 1/2
21.593 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.593 * [taylor]: Taking taylor expansion of n in n
21.593 * [backup-simplify]: Simplify 0 into 0
21.593 * [backup-simplify]: Simplify 1 into 1
21.594 * [backup-simplify]: Simplify (/ 1 1) into 1
21.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.595 * [backup-simplify]: Simplify (- 0) into 0
21.595 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.595 * [backup-simplify]: Simplify 1/2 into 1/2
21.595 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1))
21.595 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n))
21.595 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0
21.595 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
21.595 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
21.595 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
21.595 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.595 * [taylor]: Taking taylor expansion of n in n
21.595 * [backup-simplify]: Simplify 0 into 0
21.595 * [backup-simplify]: Simplify 1 into 1
21.596 * [backup-simplify]: Simplify (/ 1 1) into 1
21.596 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.596 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.596 * [taylor]: Taking taylor expansion of (/ n i) in n
21.596 * [taylor]: Taking taylor expansion of n in n
21.596 * [backup-simplify]: Simplify 0 into 0
21.596 * [backup-simplify]: Simplify 1 into 1
21.596 * [taylor]: Taking taylor expansion of i in n
21.596 * [backup-simplify]: Simplify i into i
21.596 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.596 * [taylor]: Taking taylor expansion of 1 in n
21.596 * [backup-simplify]: Simplify 1 into 1
21.596 * [backup-simplify]: Simplify (+ 0 1) into 1
21.596 * [backup-simplify]: Simplify (log 1) into 0
21.597 * [backup-simplify]: Simplify (* 1 0) into 0
21.597 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.598 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
21.598 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
21.598 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.598 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.598 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.598 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.598 * [taylor]: Taking taylor expansion of n in i
21.598 * [backup-simplify]: Simplify n into n
21.598 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.598 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.598 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.598 * [taylor]: Taking taylor expansion of (/ n i) in i
21.598 * [taylor]: Taking taylor expansion of n in i
21.598 * [backup-simplify]: Simplify n into n
21.598 * [taylor]: Taking taylor expansion of i in i
21.598 * [backup-simplify]: Simplify 0 into 0
21.598 * [backup-simplify]: Simplify 1 into 1
21.598 * [backup-simplify]: Simplify (/ n 1) into n
21.598 * [taylor]: Taking taylor expansion of 1 in i
21.598 * [backup-simplify]: Simplify 1 into 1
21.598 * [backup-simplify]: Simplify (+ n 0) into n
21.598 * [backup-simplify]: Simplify (log n) into (log n)
21.598 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.599 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.599 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.599 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.599 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.599 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.599 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.599 * [taylor]: Taking taylor expansion of n in i
21.599 * [backup-simplify]: Simplify n into n
21.599 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.599 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.599 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.599 * [taylor]: Taking taylor expansion of (/ n i) in i
21.599 * [taylor]: Taking taylor expansion of n in i
21.599 * [backup-simplify]: Simplify n into n
21.599 * [taylor]: Taking taylor expansion of i in i
21.599 * [backup-simplify]: Simplify 0 into 0
21.599 * [backup-simplify]: Simplify 1 into 1
21.599 * [backup-simplify]: Simplify (/ n 1) into n
21.599 * [taylor]: Taking taylor expansion of 1 in i
21.599 * [backup-simplify]: Simplify 1 into 1
21.599 * [backup-simplify]: Simplify (+ n 0) into n
21.599 * [backup-simplify]: Simplify (log n) into (log n)
21.599 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.599 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.599 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.599 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.599 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.599 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.600 * [taylor]: Taking taylor expansion of (log n) in n
21.600 * [taylor]: Taking taylor expansion of n in n
21.600 * [backup-simplify]: Simplify 0 into 0
21.600 * [backup-simplify]: Simplify 1 into 1
21.600 * [backup-simplify]: Simplify (log 1) into 0
21.600 * [taylor]: Taking taylor expansion of (log i) in n
21.600 * [taylor]: Taking taylor expansion of i in n
21.600 * [backup-simplify]: Simplify i into i
21.600 * [backup-simplify]: Simplify (log i) into (log i)
21.600 * [taylor]: Taking taylor expansion of n in n
21.600 * [backup-simplify]: Simplify 0 into 0
21.600 * [backup-simplify]: Simplify 1 into 1
21.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.600 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.600 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.600 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.600 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.600 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.601 * [backup-simplify]: Simplify (+ 0 1) into 1
21.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
21.602 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.602 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
21.602 * [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))
21.602 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
21.602 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.602 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.602 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.602 * [taylor]: Taking taylor expansion of (log n) in n
21.602 * [taylor]: Taking taylor expansion of n in n
21.603 * [backup-simplify]: Simplify 0 into 0
21.603 * [backup-simplify]: Simplify 1 into 1
21.603 * [backup-simplify]: Simplify (log 1) into 0
21.603 * [taylor]: Taking taylor expansion of (log i) in n
21.603 * [taylor]: Taking taylor expansion of i in n
21.603 * [backup-simplify]: Simplify i into i
21.603 * [backup-simplify]: Simplify (log i) into (log i)
21.603 * [taylor]: Taking taylor expansion of n in n
21.603 * [backup-simplify]: Simplify 0 into 0
21.603 * [backup-simplify]: Simplify 1 into 1
21.603 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.603 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.603 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.603 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.603 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.603 * [taylor]: Taking taylor expansion of (pow n 2) in n
21.603 * [taylor]: Taking taylor expansion of n in n
21.603 * [backup-simplify]: Simplify 0 into 0
21.603 * [backup-simplify]: Simplify 1 into 1
21.604 * [backup-simplify]: Simplify (* 1 1) into 1
21.604 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.606 * [backup-simplify]: Simplify 0 into 0
21.606 * [backup-simplify]: Simplify 0 into 0
21.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.607 * [backup-simplify]: Simplify (+ 0 0) into 0
21.608 * [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))
21.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.609 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.609 * [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))))
21.609 * [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)))
21.609 * [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
21.609 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n
21.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
21.609 * [taylor]: Taking taylor expansion of 1/2 in n
21.609 * [backup-simplify]: Simplify 1/2 into 1/2
21.609 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
21.609 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.609 * [taylor]: Taking taylor expansion of n in n
21.609 * [backup-simplify]: Simplify 0 into 0
21.609 * [backup-simplify]: Simplify 1 into 1
21.610 * [backup-simplify]: Simplify (* 1 1) into 1
21.610 * [backup-simplify]: Simplify (* 1 1) into 1
21.610 * [backup-simplify]: Simplify (/ 1 1) into 1
21.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
21.610 * [taylor]: Taking taylor expansion of 1/2 in n
21.610 * [backup-simplify]: Simplify 1/2 into 1/2
21.610 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
21.610 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.610 * [taylor]: Taking taylor expansion of n in n
21.610 * [backup-simplify]: Simplify 0 into 0
21.610 * [backup-simplify]: Simplify 1 into 1
21.610 * [backup-simplify]: Simplify (* 1 1) into 1
21.611 * [backup-simplify]: Simplify (* 1 1) into 1
21.611 * [backup-simplify]: Simplify (/ 1 1) into 1
21.611 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.611 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.611 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.611 * [taylor]: Taking taylor expansion of (log n) in n
21.611 * [taylor]: Taking taylor expansion of n in n
21.611 * [backup-simplify]: Simplify 0 into 0
21.611 * [backup-simplify]: Simplify 1 into 1
21.611 * [backup-simplify]: Simplify (log 1) into 0
21.611 * [taylor]: Taking taylor expansion of (log i) in n
21.611 * [taylor]: Taking taylor expansion of i in n
21.611 * [backup-simplify]: Simplify i into i
21.611 * [backup-simplify]: Simplify (log i) into (log i)
21.611 * [taylor]: Taking taylor expansion of n in n
21.611 * [backup-simplify]: Simplify 0 into 0
21.611 * [backup-simplify]: Simplify 1 into 1
21.612 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.612 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.612 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.612 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.612 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.612 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.612 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.614 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.615 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.615 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.619 * [backup-simplify]: Simplify (- 0) into 0
21.619 * [backup-simplify]: Simplify (+ 0 0) into 0
21.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.624 * [backup-simplify]: Simplify (- 0) into 0
21.624 * [backup-simplify]: Simplify (+ 0 0) into 0
21.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.629 * [backup-simplify]: Simplify (- 0) into 0
21.629 * [backup-simplify]: Simplify (+ 0 0) into 0
21.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
21.630 * [backup-simplify]: Simplify 0 into 0
21.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.634 * [backup-simplify]: Simplify 0 into 0
21.634 * [backup-simplify]: Simplify 0 into 0
21.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.636 * [backup-simplify]: Simplify (+ 0 0) into 0
21.637 * [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))
21.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.637 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.638 * [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)))
21.638 * [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)))))
21.638 * [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
21.638 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.638 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.638 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.638 * [taylor]: Taking taylor expansion of (log n) in n
21.638 * [taylor]: Taking taylor expansion of n in n
21.638 * [backup-simplify]: Simplify 0 into 0
21.638 * [backup-simplify]: Simplify 1 into 1
21.638 * [backup-simplify]: Simplify (log 1) into 0
21.638 * [taylor]: Taking taylor expansion of (log i) in n
21.639 * [taylor]: Taking taylor expansion of i in n
21.639 * [backup-simplify]: Simplify i into i
21.639 * [backup-simplify]: Simplify (log i) into (log i)
21.639 * [taylor]: Taking taylor expansion of n in n
21.639 * [backup-simplify]: Simplify 0 into 0
21.639 * [backup-simplify]: Simplify 1 into 1
21.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.639 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.639 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.639 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.639 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.639 * [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
21.639 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n
21.639 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
21.639 * [taylor]: Taking taylor expansion of 1/6 in n
21.639 * [backup-simplify]: Simplify 1/6 into 1/6
21.639 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
21.639 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.639 * [taylor]: Taking taylor expansion of n in n
21.639 * [backup-simplify]: Simplify 0 into 0
21.639 * [backup-simplify]: Simplify 1 into 1
21.639 * [backup-simplify]: Simplify (* 1 1) into 1
21.640 * [backup-simplify]: Simplify (* 1 1) into 1
21.640 * [backup-simplify]: Simplify (* 1 1) into 1
21.640 * [backup-simplify]: Simplify (/ 1 1) into 1
21.640 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
21.640 * [taylor]: Taking taylor expansion of 1/3 in n
21.640 * [backup-simplify]: Simplify 1/3 into 1/3
21.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
21.640 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.640 * [taylor]: Taking taylor expansion of n in n
21.640 * [backup-simplify]: Simplify 0 into 0
21.640 * [backup-simplify]: Simplify 1 into 1
21.641 * [backup-simplify]: Simplify (* 1 1) into 1
21.641 * [backup-simplify]: Simplify (* 1 1) into 1
21.641 * [backup-simplify]: Simplify (/ 1 1) into 1
21.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
21.641 * [taylor]: Taking taylor expansion of 1/2 in n
21.641 * [backup-simplify]: Simplify 1/2 into 1/2
21.641 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
21.641 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.641 * [taylor]: Taking taylor expansion of n in n
21.641 * [backup-simplify]: Simplify 0 into 0
21.641 * [backup-simplify]: Simplify 1 into 1
21.641 * [backup-simplify]: Simplify (* 1 1) into 1
21.642 * [backup-simplify]: Simplify (* 1 1) into 1
21.642 * [backup-simplify]: Simplify (* 1 1) into 1
21.642 * [backup-simplify]: Simplify (/ 1 1) into 1
21.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.657 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.665 * [backup-simplify]: Simplify (+ 0 0) into 0
21.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.677 * [backup-simplify]: Simplify (- 0) into 0
21.677 * [backup-simplify]: Simplify (+ 0 0) into 0
21.678 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.678 * [backup-simplify]: Simplify (+ 0 0) into 0
21.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.679 * [backup-simplify]: Simplify (- 0) into 0
21.680 * [backup-simplify]: Simplify (+ 0 0) into 0
21.680 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
21.681 * [backup-simplify]: Simplify (+ 0 0) into 0
21.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.682 * [backup-simplify]: Simplify (- 0) into 0
21.682 * [backup-simplify]: Simplify (+ 0 0) into 0
21.683 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
21.683 * [backup-simplify]: Simplify (+ 0 0) into 0
21.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.684 * [backup-simplify]: Simplify (- 0) into 0
21.684 * [backup-simplify]: Simplify (+ 0 0) into 0
21.685 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
21.685 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
21.686 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
21.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.686 * [backup-simplify]: Simplify (- 0) into 0
21.686 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
21.687 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
21.687 * [backup-simplify]: Simplify (+ 0 0) into 0
21.687 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.688 * [backup-simplify]: Simplify (- 1/2) into -1/2
21.688 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
21.688 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
21.688 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.689 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.690 * [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
21.690 * [backup-simplify]: Simplify 0 into 0
21.690 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
21.690 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n))
21.690 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0
21.690 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
21.690 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
21.690 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
21.690 * [taylor]: Taking taylor expansion of (/ -1 n) in n
21.690 * [taylor]: Taking taylor expansion of -1 in n
21.690 * [backup-simplify]: Simplify -1 into -1
21.690 * [taylor]: Taking taylor expansion of n in n
21.690 * [backup-simplify]: Simplify 0 into 0
21.690 * [backup-simplify]: Simplify 1 into 1
21.690 * [backup-simplify]: Simplify (/ -1 1) into -1
21.690 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.690 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.690 * [taylor]: Taking taylor expansion of (/ n i) in n
21.690 * [taylor]: Taking taylor expansion of n in n
21.690 * [backup-simplify]: Simplify 0 into 0
21.690 * [backup-simplify]: Simplify 1 into 1
21.691 * [taylor]: Taking taylor expansion of i in n
21.691 * [backup-simplify]: Simplify i into i
21.691 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.691 * [taylor]: Taking taylor expansion of 1 in n
21.691 * [backup-simplify]: Simplify 1 into 1
21.691 * [backup-simplify]: Simplify (+ 0 1) into 1
21.691 * [backup-simplify]: Simplify (log 1) into 0
21.691 * [backup-simplify]: Simplify (* -1 0) into 0
21.692 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
21.693 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
21.693 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
21.693 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.693 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.693 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.693 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.693 * [taylor]: Taking taylor expansion of -1 in i
21.693 * [backup-simplify]: Simplify -1 into -1
21.693 * [taylor]: Taking taylor expansion of n in i
21.693 * [backup-simplify]: Simplify n into n
21.693 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.693 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.693 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.693 * [taylor]: Taking taylor expansion of (/ n i) in i
21.693 * [taylor]: Taking taylor expansion of n in i
21.693 * [backup-simplify]: Simplify n into n
21.693 * [taylor]: Taking taylor expansion of i in i
21.693 * [backup-simplify]: Simplify 0 into 0
21.693 * [backup-simplify]: Simplify 1 into 1
21.693 * [backup-simplify]: Simplify (/ n 1) into n
21.693 * [taylor]: Taking taylor expansion of 1 in i
21.693 * [backup-simplify]: Simplify 1 into 1
21.693 * [backup-simplify]: Simplify (+ n 0) into n
21.693 * [backup-simplify]: Simplify (log n) into (log n)
21.693 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.694 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.694 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.694 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.694 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.694 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.694 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.694 * [taylor]: Taking taylor expansion of -1 in i
21.694 * [backup-simplify]: Simplify -1 into -1
21.694 * [taylor]: Taking taylor expansion of n in i
21.694 * [backup-simplify]: Simplify n into n
21.694 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.694 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.694 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.694 * [taylor]: Taking taylor expansion of (/ n i) in i
21.694 * [taylor]: Taking taylor expansion of n in i
21.694 * [backup-simplify]: Simplify n into n
21.694 * [taylor]: Taking taylor expansion of i in i
21.694 * [backup-simplify]: Simplify 0 into 0
21.694 * [backup-simplify]: Simplify 1 into 1
21.694 * [backup-simplify]: Simplify (/ n 1) into n
21.694 * [taylor]: Taking taylor expansion of 1 in i
21.694 * [backup-simplify]: Simplify 1 into 1
21.694 * [backup-simplify]: Simplify (+ n 0) into n
21.694 * [backup-simplify]: Simplify (log n) into (log n)
21.694 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.694 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.694 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.695 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.695 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.695 * [taylor]: Taking taylor expansion of -1 in n
21.695 * [backup-simplify]: Simplify -1 into -1
21.695 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.695 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.695 * [taylor]: Taking taylor expansion of (log n) in n
21.695 * [taylor]: Taking taylor expansion of n in n
21.695 * [backup-simplify]: Simplify 0 into 0
21.695 * [backup-simplify]: Simplify 1 into 1
21.695 * [backup-simplify]: Simplify (log 1) into 0
21.695 * [taylor]: Taking taylor expansion of (log i) in n
21.695 * [taylor]: Taking taylor expansion of i in n
21.695 * [backup-simplify]: Simplify i into i
21.695 * [backup-simplify]: Simplify (log i) into (log i)
21.695 * [taylor]: Taking taylor expansion of n in n
21.695 * [backup-simplify]: Simplify 0 into 0
21.695 * [backup-simplify]: Simplify 1 into 1
21.695 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.695 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.695 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.695 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.696 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.696 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.696 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.696 * [backup-simplify]: Simplify (+ 0 1) into 1
21.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.697 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
21.697 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.697 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
21.698 * [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)))
21.698 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
21.698 * [taylor]: Taking taylor expansion of -1 in n
21.698 * [backup-simplify]: Simplify -1 into -1
21.698 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
21.698 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.698 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.698 * [taylor]: Taking taylor expansion of -1 in n
21.698 * [backup-simplify]: Simplify -1 into -1
21.698 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.698 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.698 * [taylor]: Taking taylor expansion of (log n) in n
21.698 * [taylor]: Taking taylor expansion of n in n
21.698 * [backup-simplify]: Simplify 0 into 0
21.698 * [backup-simplify]: Simplify 1 into 1
21.698 * [backup-simplify]: Simplify (log 1) into 0
21.698 * [taylor]: Taking taylor expansion of (log i) in n
21.698 * [taylor]: Taking taylor expansion of i in n
21.698 * [backup-simplify]: Simplify i into i
21.698 * [backup-simplify]: Simplify (log i) into (log i)
21.698 * [taylor]: Taking taylor expansion of n in n
21.698 * [backup-simplify]: Simplify 0 into 0
21.698 * [backup-simplify]: Simplify 1 into 1
21.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.698 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.699 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.699 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.699 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.699 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.699 * [taylor]: Taking taylor expansion of (pow n 2) in n
21.699 * [taylor]: Taking taylor expansion of n in n
21.699 * [backup-simplify]: Simplify 0 into 0
21.699 * [backup-simplify]: Simplify 1 into 1
21.699 * [backup-simplify]: Simplify (* 1 1) into 1
21.699 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
21.702 * [backup-simplify]: Simplify 0 into 0
21.702 * [backup-simplify]: Simplify 0 into 0
21.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.703 * [backup-simplify]: Simplify (+ 0 0) into 0
21.704 * [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))
21.704 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.705 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.705 * [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)))
21.705 * [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)))))
21.705 * [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
21.705 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.705 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.705 * [taylor]: Taking taylor expansion of -1 in n
21.705 * [backup-simplify]: Simplify -1 into -1
21.705 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.705 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.705 * [taylor]: Taking taylor expansion of (log n) in n
21.705 * [taylor]: Taking taylor expansion of n in n
21.705 * [backup-simplify]: Simplify 0 into 0
21.705 * [backup-simplify]: Simplify 1 into 1
21.705 * [backup-simplify]: Simplify (log 1) into 0
21.706 * [taylor]: Taking taylor expansion of (log i) in n
21.706 * [taylor]: Taking taylor expansion of i in n
21.706 * [backup-simplify]: Simplify i into i
21.706 * [backup-simplify]: Simplify (log i) into (log i)
21.706 * [taylor]: Taking taylor expansion of n in n
21.706 * [backup-simplify]: Simplify 0 into 0
21.706 * [backup-simplify]: Simplify 1 into 1
21.706 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.706 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.706 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.706 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.706 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.706 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n
21.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
21.706 * [taylor]: Taking taylor expansion of 1/2 in n
21.706 * [backup-simplify]: Simplify 1/2 into 1/2
21.706 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
21.706 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.706 * [taylor]: Taking taylor expansion of n in n
21.706 * [backup-simplify]: Simplify 0 into 0
21.706 * [backup-simplify]: Simplify 1 into 1
21.707 * [backup-simplify]: Simplify (* 1 1) into 1
21.707 * [backup-simplify]: Simplify (* 1 1) into 1
21.707 * [backup-simplify]: Simplify (/ 1 1) into 1
21.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
21.707 * [taylor]: Taking taylor expansion of 1/2 in n
21.707 * [backup-simplify]: Simplify 1/2 into 1/2
21.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
21.707 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.707 * [taylor]: Taking taylor expansion of n in n
21.707 * [backup-simplify]: Simplify 0 into 0
21.707 * [backup-simplify]: Simplify 1 into 1
21.707 * [backup-simplify]: Simplify (* 1 1) into 1
21.708 * [backup-simplify]: Simplify (* 1 1) into 1
21.708 * [backup-simplify]: Simplify (/ 1 1) into 1
21.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.722 * [backup-simplify]: Simplify (+ 0 0) into 0
21.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.723 * [backup-simplify]: Simplify (+ 0 0) into 0
21.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.724 * [backup-simplify]: Simplify (+ 0 0) into 0
21.724 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.725 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.725 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.726 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
21.726 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0
21.726 * [backup-simplify]: Simplify 0 into 0
21.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
21.729 * [backup-simplify]: Simplify 0 into 0
21.729 * [backup-simplify]: Simplify 0 into 0
21.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.730 * [backup-simplify]: Simplify (+ 0 0) into 0
21.732 * [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))
21.732 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.732 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.732 * [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))))
21.733 * [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)))))))
21.733 * [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
21.733 * [taylor]: Taking taylor expansion of -1 in n
21.733 * [backup-simplify]: Simplify -1 into -1
21.733 * [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
21.733 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.733 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.733 * [taylor]: Taking taylor expansion of -1 in n
21.733 * [backup-simplify]: Simplify -1 into -1
21.733 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.733 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.733 * [taylor]: Taking taylor expansion of (log n) in n
21.733 * [taylor]: Taking taylor expansion of n in n
21.733 * [backup-simplify]: Simplify 0 into 0
21.733 * [backup-simplify]: Simplify 1 into 1
21.733 * [backup-simplify]: Simplify (log 1) into 0
21.733 * [taylor]: Taking taylor expansion of (log i) in n
21.733 * [taylor]: Taking taylor expansion of i in n
21.733 * [backup-simplify]: Simplify i into i
21.733 * [backup-simplify]: Simplify (log i) into (log i)
21.733 * [taylor]: Taking taylor expansion of n in n
21.733 * [backup-simplify]: Simplify 0 into 0
21.733 * [backup-simplify]: Simplify 1 into 1
21.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.734 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.734 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.734 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.734 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.734 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.734 * [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
21.734 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
21.734 * [taylor]: Taking taylor expansion of 1/6 in n
21.734 * [backup-simplify]: Simplify 1/6 into 1/6
21.734 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
21.734 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.734 * [taylor]: Taking taylor expansion of n in n
21.734 * [backup-simplify]: Simplify 0 into 0
21.734 * [backup-simplify]: Simplify 1 into 1
21.734 * [backup-simplify]: Simplify (* 1 1) into 1
21.734 * [backup-simplify]: Simplify (* 1 1) into 1
21.735 * [backup-simplify]: Simplify (* 1 1) into 1
21.735 * [backup-simplify]: Simplify (/ 1 1) into 1
21.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n
21.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
21.735 * [taylor]: Taking taylor expansion of 1/2 in n
21.735 * [backup-simplify]: Simplify 1/2 into 1/2
21.735 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
21.735 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.735 * [taylor]: Taking taylor expansion of n in n
21.735 * [backup-simplify]: Simplify 0 into 0
21.735 * [backup-simplify]: Simplify 1 into 1
21.735 * [backup-simplify]: Simplify (* 1 1) into 1
21.735 * [backup-simplify]: Simplify (* 1 1) into 1
21.736 * [backup-simplify]: Simplify (* 1 1) into 1
21.736 * [backup-simplify]: Simplify (/ 1 1) into 1
21.736 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
21.736 * [taylor]: Taking taylor expansion of 1/3 in n
21.736 * [backup-simplify]: Simplify 1/3 into 1/3
21.736 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
21.736 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.736 * [taylor]: Taking taylor expansion of n in n
21.736 * [backup-simplify]: Simplify 0 into 0
21.736 * [backup-simplify]: Simplify 1 into 1
21.736 * [backup-simplify]: Simplify (* 1 1) into 1
21.736 * [backup-simplify]: Simplify (* 1 1) into 1
21.737 * [backup-simplify]: Simplify (/ 1 1) into 1
21.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.751 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.771 * [backup-simplify]: Simplify (+ 0 0) into 0
21.771 * [backup-simplify]: Simplify (+ 0 0) into 0
21.772 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.773 * [backup-simplify]: Simplify (+ 0 0) into 0
21.774 * [backup-simplify]: Simplify (+ 0 0) into 0
21.774 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
21.776 * [backup-simplify]: Simplify (+ 0 0) into 0
21.776 * [backup-simplify]: Simplify (+ 0 0) into 0
21.776 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
21.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
21.778 * [backup-simplify]: Simplify (+ 0 0) into 0
21.778 * [backup-simplify]: Simplify (+ 0 0) into 0
21.778 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
21.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.779 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
21.779 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
21.780 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
21.780 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
21.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.781 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.781 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
21.781 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
21.781 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.782 * [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
21.783 * [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
21.784 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0
21.785 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0
21.785 * [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))))
21.786 * [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))))
21.786 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))
21.787 * [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
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
21.787 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
21.787 * [backup-simplify]: Simplify (- (pow (+ 1 (/ i n)) n) 1) into (- (pow (+ (/ i n) 1) n) 1)
21.787 * [approximate]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in (i n) around 0
21.787 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n
21.787 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
21.787 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
21.787 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
21.787 * [taylor]: Taking taylor expansion of n in n
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [backup-simplify]: Simplify 1 into 1
21.787 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
21.787 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
21.787 * [taylor]: Taking taylor expansion of (/ i n) in n
21.787 * [taylor]: Taking taylor expansion of i in n
21.787 * [backup-simplify]: Simplify i into i
21.787 * [taylor]: Taking taylor expansion of n in n
21.787 * [backup-simplify]: Simplify 0 into 0
21.787 * [backup-simplify]: Simplify 1 into 1
21.788 * [backup-simplify]: Simplify (/ i 1) into i
21.788 * [taylor]: Taking taylor expansion of 1 in n
21.788 * [backup-simplify]: Simplify 1 into 1
21.788 * [backup-simplify]: Simplify (+ i 0) into i
21.788 * [backup-simplify]: Simplify (log i) into (log i)
21.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.788 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
21.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
21.789 * [backup-simplify]: Simplify (+ 0 1) into 1
21.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
21.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
21.790 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
21.790 * [backup-simplify]: Simplify (exp 0) into 1
21.790 * [taylor]: Taking taylor expansion of 1 in n
21.790 * [backup-simplify]: Simplify 1 into 1
21.790 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
21.790 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.790 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.790 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.790 * [taylor]: Taking taylor expansion of n in i
21.790 * [backup-simplify]: Simplify n into n
21.790 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.790 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.790 * [taylor]: Taking taylor expansion of (/ i n) in i
21.790 * [taylor]: Taking taylor expansion of i in i
21.790 * [backup-simplify]: Simplify 0 into 0
21.790 * [backup-simplify]: Simplify 1 into 1
21.790 * [taylor]: Taking taylor expansion of n in i
21.790 * [backup-simplify]: Simplify n into n
21.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.790 * [taylor]: Taking taylor expansion of 1 in i
21.790 * [backup-simplify]: Simplify 1 into 1
21.790 * [backup-simplify]: Simplify (+ 0 1) into 1
21.790 * [backup-simplify]: Simplify (log 1) into 0
21.790 * [backup-simplify]: Simplify (* n 0) into 0
21.790 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.791 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.791 * [backup-simplify]: Simplify (exp 0) into 1
21.791 * [taylor]: Taking taylor expansion of 1 in i
21.791 * [backup-simplify]: Simplify 1 into 1
21.791 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i
21.791 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
21.791 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
21.791 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
21.791 * [taylor]: Taking taylor expansion of n in i
21.791 * [backup-simplify]: Simplify n into n
21.791 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
21.791 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
21.791 * [taylor]: Taking taylor expansion of (/ i n) in i
21.791 * [taylor]: Taking taylor expansion of i in i
21.791 * [backup-simplify]: Simplify 0 into 0
21.791 * [backup-simplify]: Simplify 1 into 1
21.791 * [taylor]: Taking taylor expansion of n in i
21.791 * [backup-simplify]: Simplify n into n
21.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.791 * [taylor]: Taking taylor expansion of 1 in i
21.791 * [backup-simplify]: Simplify 1 into 1
21.792 * [backup-simplify]: Simplify (+ 0 1) into 1
21.792 * [backup-simplify]: Simplify (log 1) into 0
21.792 * [backup-simplify]: Simplify (* n 0) into 0
21.792 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
21.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
21.793 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
21.793 * [backup-simplify]: Simplify (exp 0) into 1
21.793 * [taylor]: Taking taylor expansion of 1 in i
21.793 * [backup-simplify]: Simplify 1 into 1
21.793 * [backup-simplify]: Simplify (- 1) into -1
21.793 * [backup-simplify]: Simplify (+ 1 -1) into 0
21.793 * [taylor]: Taking taylor expansion of 0 in n
21.793 * [backup-simplify]: Simplify 0 into 0
21.793 * [backup-simplify]: Simplify 0 into 0
21.794 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
21.794 * [backup-simplify]: Simplify (- 0) into 0
21.796 * [backup-simplify]: Simplify (+ 1 0) into 1
21.796 * [taylor]: Taking taylor expansion of 1 in n
21.796 * [backup-simplify]: Simplify 1 into 1
21.796 * [backup-simplify]: Simplify 1 into 1
21.796 * [backup-simplify]: Simplify 0 into 0
21.796 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
21.796 * [backup-simplify]: Simplify (+ 0 0) into 0
21.797 * [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))
21.798 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
21.798 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
21.798 * [backup-simplify]: Simplify (- 0) into 0
21.798 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n)))
21.798 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
21.798 * [taylor]: Taking taylor expansion of 1/2 in n
21.798 * [backup-simplify]: Simplify 1/2 into 1/2
21.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
21.798 * [taylor]: Taking taylor expansion of 1/2 in n
21.798 * [backup-simplify]: Simplify 1/2 into 1/2
21.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.798 * [taylor]: Taking taylor expansion of n in n
21.798 * [backup-simplify]: Simplify 0 into 0
21.798 * [backup-simplify]: Simplify 1 into 1
21.799 * [backup-simplify]: Simplify (/ 1 1) into 1
21.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.800 * [backup-simplify]: Simplify (- 0) into 0
21.800 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.800 * [backup-simplify]: Simplify 1/2 into 1/2
21.800 * [backup-simplify]: Simplify 0 into 0
21.800 * [backup-simplify]: Simplify 0 into 0
21.800 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.800 * [backup-simplify]: Simplify (+ 0 0) into 0
21.802 * [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))
21.802 * [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)))
21.803 * [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)))
21.803 * [backup-simplify]: Simplify (- 0) into 0
21.804 * [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)))
21.804 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n
21.804 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n
21.804 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n
21.804 * [taylor]: Taking taylor expansion of 1/3 in n
21.804 * [backup-simplify]: Simplify 1/3 into 1/3
21.804 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n
21.804 * [taylor]: Taking taylor expansion of (pow n 2) in n
21.804 * [taylor]: Taking taylor expansion of n in n
21.804 * [backup-simplify]: Simplify 0 into 0
21.804 * [backup-simplify]: Simplify 1 into 1
21.804 * [backup-simplify]: Simplify (* 1 1) into 1
21.804 * [backup-simplify]: Simplify (/ 1 1) into 1
21.804 * [taylor]: Taking taylor expansion of 1/6 in n
21.804 * [backup-simplify]: Simplify 1/6 into 1/6
21.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
21.804 * [taylor]: Taking taylor expansion of 1/2 in n
21.804 * [backup-simplify]: Simplify 1/2 into 1/2
21.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.804 * [taylor]: Taking taylor expansion of n in n
21.804 * [backup-simplify]: Simplify 0 into 0
21.804 * [backup-simplify]: Simplify 1 into 1
21.805 * [backup-simplify]: Simplify (/ 1 1) into 1
21.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
21.807 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
21.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
21.808 * [backup-simplify]: Simplify (- 0) into 0
21.809 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.809 * [backup-simplify]: Simplify 1/6 into 1/6
21.809 * [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))))
21.809 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) into (- (pow (+ (/ n i) 1) (/ 1 n)) 1)
21.809 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in (i n) around 0
21.809 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n
21.809 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
21.809 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
21.809 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
21.809 * [taylor]: Taking taylor expansion of (/ 1 n) in n
21.809 * [taylor]: Taking taylor expansion of n in n
21.809 * [backup-simplify]: Simplify 0 into 0
21.809 * [backup-simplify]: Simplify 1 into 1
21.809 * [backup-simplify]: Simplify (/ 1 1) into 1
21.809 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.809 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.809 * [taylor]: Taking taylor expansion of (/ n i) in n
21.809 * [taylor]: Taking taylor expansion of n in n
21.809 * [backup-simplify]: Simplify 0 into 0
21.809 * [backup-simplify]: Simplify 1 into 1
21.809 * [taylor]: Taking taylor expansion of i in n
21.809 * [backup-simplify]: Simplify i into i
21.809 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.809 * [taylor]: Taking taylor expansion of 1 in n
21.809 * [backup-simplify]: Simplify 1 into 1
21.810 * [backup-simplify]: Simplify (+ 0 1) into 1
21.810 * [backup-simplify]: Simplify (log 1) into 0
21.810 * [backup-simplify]: Simplify (* 1 0) into 0
21.810 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.812 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
21.812 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
21.812 * [taylor]: Taking taylor expansion of 1 in n
21.812 * [backup-simplify]: Simplify 1 into 1
21.812 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
21.812 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.812 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.812 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.812 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.812 * [taylor]: Taking taylor expansion of n in i
21.812 * [backup-simplify]: Simplify n into n
21.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.812 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.812 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.812 * [taylor]: Taking taylor expansion of (/ n i) in i
21.812 * [taylor]: Taking taylor expansion of n in i
21.812 * [backup-simplify]: Simplify n into n
21.812 * [taylor]: Taking taylor expansion of i in i
21.812 * [backup-simplify]: Simplify 0 into 0
21.812 * [backup-simplify]: Simplify 1 into 1
21.812 * [backup-simplify]: Simplify (/ n 1) into n
21.812 * [taylor]: Taking taylor expansion of 1 in i
21.812 * [backup-simplify]: Simplify 1 into 1
21.812 * [backup-simplify]: Simplify (+ n 0) into n
21.812 * [backup-simplify]: Simplify (log n) into (log n)
21.812 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.812 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.812 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.812 * [taylor]: Taking taylor expansion of 1 in i
21.812 * [backup-simplify]: Simplify 1 into 1
21.812 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i
21.812 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
21.812 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
21.812 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
21.813 * [taylor]: Taking taylor expansion of (/ 1 n) in i
21.813 * [taylor]: Taking taylor expansion of n in i
21.813 * [backup-simplify]: Simplify n into n
21.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
21.813 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.813 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.813 * [taylor]: Taking taylor expansion of (/ n i) in i
21.813 * [taylor]: Taking taylor expansion of n in i
21.813 * [backup-simplify]: Simplify n into n
21.813 * [taylor]: Taking taylor expansion of i in i
21.813 * [backup-simplify]: Simplify 0 into 0
21.813 * [backup-simplify]: Simplify 1 into 1
21.813 * [backup-simplify]: Simplify (/ n 1) into n
21.813 * [taylor]: Taking taylor expansion of 1 in i
21.813 * [backup-simplify]: Simplify 1 into 1
21.813 * [backup-simplify]: Simplify (+ n 0) into n
21.813 * [backup-simplify]: Simplify (log n) into (log n)
21.813 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.813 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
21.813 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.813 * [taylor]: Taking taylor expansion of 1 in i
21.813 * [backup-simplify]: Simplify 1 into 1
21.814 * [backup-simplify]: Simplify (- 1) into -1
21.814 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.814 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n
21.814 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.814 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.814 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.814 * [taylor]: Taking taylor expansion of (log n) in n
21.814 * [taylor]: Taking taylor expansion of n in n
21.814 * [backup-simplify]: Simplify 0 into 0
21.814 * [backup-simplify]: Simplify 1 into 1
21.814 * [backup-simplify]: Simplify (log 1) into 0
21.814 * [taylor]: Taking taylor expansion of (log i) in n
21.814 * [taylor]: Taking taylor expansion of i in n
21.814 * [backup-simplify]: Simplify i into i
21.814 * [backup-simplify]: Simplify (log i) into (log i)
21.814 * [taylor]: Taking taylor expansion of n in n
21.814 * [backup-simplify]: Simplify 0 into 0
21.814 * [backup-simplify]: Simplify 1 into 1
21.814 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.814 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.814 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.814 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.815 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.815 * [taylor]: Taking taylor expansion of 1 in n
21.815 * [backup-simplify]: Simplify 1 into 1
21.815 * [backup-simplify]: Simplify (- 1) into -1
21.815 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.815 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
21.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.816 * [backup-simplify]: Simplify (+ 0 1) into 1
21.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
21.817 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.817 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
21.817 * [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))
21.817 * [backup-simplify]: Simplify (- 0) into 0
21.817 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
21.817 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
21.817 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.817 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.817 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.817 * [taylor]: Taking taylor expansion of (log n) in n
21.817 * [taylor]: Taking taylor expansion of n in n
21.817 * [backup-simplify]: Simplify 0 into 0
21.817 * [backup-simplify]: Simplify 1 into 1
21.818 * [backup-simplify]: Simplify (log 1) into 0
21.818 * [taylor]: Taking taylor expansion of (log i) in n
21.818 * [taylor]: Taking taylor expansion of i in n
21.818 * [backup-simplify]: Simplify i into i
21.818 * [backup-simplify]: Simplify (log i) into (log i)
21.818 * [taylor]: Taking taylor expansion of n in n
21.818 * [backup-simplify]: Simplify 0 into 0
21.818 * [backup-simplify]: Simplify 1 into 1
21.818 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.818 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.818 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.818 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.818 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.818 * [taylor]: Taking taylor expansion of (pow n 2) in n
21.818 * [taylor]: Taking taylor expansion of n in n
21.818 * [backup-simplify]: Simplify 0 into 0
21.818 * [backup-simplify]: Simplify 1 into 1
21.818 * [backup-simplify]: Simplify (* 1 1) into 1
21.819 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.821 * [backup-simplify]: Simplify 0 into 0
21.821 * [backup-simplify]: Simplify (- 0) into 0
21.821 * [backup-simplify]: Simplify (+ 0 0) into 0
21.821 * [backup-simplify]: Simplify 0 into 0
21.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.822 * [backup-simplify]: Simplify (+ 0 0) into 0
21.823 * [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))
21.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.824 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.824 * [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))))
21.824 * [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)))
21.824 * [backup-simplify]: Simplify (- 0) into 0
21.825 * [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))))
21.825 * [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
21.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
21.825 * [taylor]: Taking taylor expansion of 1/2 in n
21.825 * [backup-simplify]: Simplify 1/2 into 1/2
21.825 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
21.825 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.825 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.825 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.825 * [taylor]: Taking taylor expansion of (log n) in n
21.825 * [taylor]: Taking taylor expansion of n in n
21.825 * [backup-simplify]: Simplify 0 into 0
21.825 * [backup-simplify]: Simplify 1 into 1
21.825 * [backup-simplify]: Simplify (log 1) into 0
21.825 * [taylor]: Taking taylor expansion of (log i) in n
21.825 * [taylor]: Taking taylor expansion of i in n
21.825 * [backup-simplify]: Simplify i into i
21.825 * [backup-simplify]: Simplify (log i) into (log i)
21.825 * [taylor]: Taking taylor expansion of n in n
21.825 * [backup-simplify]: Simplify 0 into 0
21.825 * [backup-simplify]: Simplify 1 into 1
21.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.825 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.825 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.825 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.826 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.826 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.826 * [taylor]: Taking taylor expansion of n in n
21.826 * [backup-simplify]: Simplify 0 into 0
21.826 * [backup-simplify]: Simplify 1 into 1
21.826 * [backup-simplify]: Simplify (* 1 1) into 1
21.826 * [backup-simplify]: Simplify (* 1 1) into 1
21.826 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n
21.826 * [taylor]: Taking taylor expansion of 1/2 in n
21.826 * [backup-simplify]: Simplify 1/2 into 1/2
21.826 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
21.826 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.826 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.826 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.826 * [taylor]: Taking taylor expansion of (log n) in n
21.826 * [taylor]: Taking taylor expansion of n in n
21.826 * [backup-simplify]: Simplify 0 into 0
21.826 * [backup-simplify]: Simplify 1 into 1
21.827 * [backup-simplify]: Simplify (log 1) into 0
21.827 * [taylor]: Taking taylor expansion of (log i) in n
21.827 * [taylor]: Taking taylor expansion of i in n
21.827 * [backup-simplify]: Simplify i into i
21.827 * [backup-simplify]: Simplify (log i) into (log i)
21.827 * [taylor]: Taking taylor expansion of n in n
21.827 * [backup-simplify]: Simplify 0 into 0
21.827 * [backup-simplify]: Simplify 1 into 1
21.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.827 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.827 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.827 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.827 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.827 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.827 * [taylor]: Taking taylor expansion of n in n
21.827 * [backup-simplify]: Simplify 0 into 0
21.827 * [backup-simplify]: Simplify 1 into 1
21.827 * [backup-simplify]: Simplify (* 1 1) into 1
21.828 * [backup-simplify]: Simplify (* 1 1) into 1
21.828 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
21.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
21.844 * [backup-simplify]: Simplify (- 0) into 0
21.844 * [backup-simplify]: Simplify (+ 0 0) into 0
21.844 * [backup-simplify]: Simplify 0 into 0
21.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.846 * [backup-simplify]: Simplify 0 into 0
21.846 * [backup-simplify]: Simplify (- 0) into 0
21.846 * [backup-simplify]: Simplify (+ 0 0) into 0
21.846 * [backup-simplify]: Simplify 0 into 0
21.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.847 * [backup-simplify]: Simplify (+ 0 0) into 0
21.849 * [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))
21.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.849 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.850 * [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)))
21.850 * [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)))))
21.850 * [backup-simplify]: Simplify (- 0) into 0
21.851 * [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))))
21.851 * [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
21.851 * [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
21.851 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
21.851 * [taylor]: Taking taylor expansion of 1/3 in n
21.851 * [backup-simplify]: Simplify 1/3 into 1/3
21.851 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
21.851 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.851 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.851 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.851 * [taylor]: Taking taylor expansion of (log n) in n
21.851 * [taylor]: Taking taylor expansion of n in n
21.851 * [backup-simplify]: Simplify 0 into 0
21.851 * [backup-simplify]: Simplify 1 into 1
21.851 * [backup-simplify]: Simplify (log 1) into 0
21.851 * [taylor]: Taking taylor expansion of (log i) in n
21.851 * [taylor]: Taking taylor expansion of i in n
21.851 * [backup-simplify]: Simplify i into i
21.851 * [backup-simplify]: Simplify (log i) into (log i)
21.851 * [taylor]: Taking taylor expansion of n in n
21.851 * [backup-simplify]: Simplify 0 into 0
21.851 * [backup-simplify]: Simplify 1 into 1
21.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.851 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.851 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.852 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.852 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.852 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.852 * [taylor]: Taking taylor expansion of n in n
21.852 * [backup-simplify]: Simplify 0 into 0
21.852 * [backup-simplify]: Simplify 1 into 1
21.852 * [backup-simplify]: Simplify (* 1 1) into 1
21.852 * [backup-simplify]: Simplify (* 1 1) into 1
21.852 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.852 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
21.852 * [taylor]: Taking taylor expansion of 1/6 in n
21.852 * [backup-simplify]: Simplify 1/6 into 1/6
21.852 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
21.852 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.852 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.852 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.852 * [taylor]: Taking taylor expansion of (log n) in n
21.852 * [taylor]: Taking taylor expansion of n in n
21.852 * [backup-simplify]: Simplify 0 into 0
21.852 * [backup-simplify]: Simplify 1 into 1
21.853 * [backup-simplify]: Simplify (log 1) into 0
21.853 * [taylor]: Taking taylor expansion of (log i) in n
21.853 * [taylor]: Taking taylor expansion of i in n
21.853 * [backup-simplify]: Simplify i into i
21.853 * [backup-simplify]: Simplify (log i) into (log i)
21.853 * [taylor]: Taking taylor expansion of n in n
21.853 * [backup-simplify]: Simplify 0 into 0
21.853 * [backup-simplify]: Simplify 1 into 1
21.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.853 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.853 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.853 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.853 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.853 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.853 * [taylor]: Taking taylor expansion of n in n
21.853 * [backup-simplify]: Simplify 0 into 0
21.853 * [backup-simplify]: Simplify 1 into 1
21.854 * [backup-simplify]: Simplify (* 1 1) into 1
21.854 * [backup-simplify]: Simplify (* 1 1) into 1
21.854 * [backup-simplify]: Simplify (* 1 1) into 1
21.854 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
21.854 * [taylor]: Taking taylor expansion of 1/2 in n
21.854 * [backup-simplify]: Simplify 1/2 into 1/2
21.854 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
21.854 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
21.854 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.854 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.854 * [taylor]: Taking taylor expansion of (log n) in n
21.854 * [taylor]: Taking taylor expansion of n in n
21.854 * [backup-simplify]: Simplify 0 into 0
21.854 * [backup-simplify]: Simplify 1 into 1
21.854 * [backup-simplify]: Simplify (log 1) into 0
21.854 * [taylor]: Taking taylor expansion of (log i) in n
21.854 * [taylor]: Taking taylor expansion of i in n
21.854 * [backup-simplify]: Simplify i into i
21.855 * [backup-simplify]: Simplify (log i) into (log i)
21.855 * [taylor]: Taking taylor expansion of n in n
21.855 * [backup-simplify]: Simplify 0 into 0
21.855 * [backup-simplify]: Simplify 1 into 1
21.855 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.855 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.855 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.855 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.855 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
21.855 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.855 * [taylor]: Taking taylor expansion of n in n
21.855 * [backup-simplify]: Simplify 0 into 0
21.855 * [backup-simplify]: Simplify 1 into 1
21.855 * [backup-simplify]: Simplify (* 1 1) into 1
21.856 * [backup-simplify]: Simplify (* 1 1) into 1
21.856 * [backup-simplify]: Simplify (* 1 1) into 1
21.856 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
21.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
21.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.884 * [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
21.886 * [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
21.887 * [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
21.887 * [backup-simplify]: Simplify (+ 0 0) into 0
21.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
21.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.901 * [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
21.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
21.903 * [backup-simplify]: Simplify (- 0) into 0
21.903 * [backup-simplify]: Simplify (+ 0 0) into 0
21.903 * [backup-simplify]: Simplify 0 into 0
21.903 * [backup-simplify]: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)
21.903 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) into (- (pow (+ (/ n i) 1) (/ -1 n)) 1)
21.903 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in (i n) around 0
21.903 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n
21.903 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
21.903 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
21.903 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
21.903 * [taylor]: Taking taylor expansion of (/ -1 n) in n
21.903 * [taylor]: Taking taylor expansion of -1 in n
21.903 * [backup-simplify]: Simplify -1 into -1
21.903 * [taylor]: Taking taylor expansion of n in n
21.903 * [backup-simplify]: Simplify 0 into 0
21.903 * [backup-simplify]: Simplify 1 into 1
21.904 * [backup-simplify]: Simplify (/ -1 1) into -1
21.904 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
21.904 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
21.904 * [taylor]: Taking taylor expansion of (/ n i) in n
21.904 * [taylor]: Taking taylor expansion of n in n
21.904 * [backup-simplify]: Simplify 0 into 0
21.904 * [backup-simplify]: Simplify 1 into 1
21.904 * [taylor]: Taking taylor expansion of i in n
21.904 * [backup-simplify]: Simplify i into i
21.904 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.904 * [taylor]: Taking taylor expansion of 1 in n
21.904 * [backup-simplify]: Simplify 1 into 1
21.904 * [backup-simplify]: Simplify (+ 0 1) into 1
21.904 * [backup-simplify]: Simplify (log 1) into 0
21.905 * [backup-simplify]: Simplify (* -1 0) into 0
21.905 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
21.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
21.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
21.906 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
21.906 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
21.906 * [taylor]: Taking taylor expansion of 1 in n
21.906 * [backup-simplify]: Simplify 1 into 1
21.906 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
21.906 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.906 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.906 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.906 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.906 * [taylor]: Taking taylor expansion of -1 in i
21.906 * [backup-simplify]: Simplify -1 into -1
21.906 * [taylor]: Taking taylor expansion of n in i
21.906 * [backup-simplify]: Simplify n into n
21.906 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.906 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.906 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.906 * [taylor]: Taking taylor expansion of (/ n i) in i
21.906 * [taylor]: Taking taylor expansion of n in i
21.906 * [backup-simplify]: Simplify n into n
21.906 * [taylor]: Taking taylor expansion of i in i
21.906 * [backup-simplify]: Simplify 0 into 0
21.906 * [backup-simplify]: Simplify 1 into 1
21.906 * [backup-simplify]: Simplify (/ n 1) into n
21.906 * [taylor]: Taking taylor expansion of 1 in i
21.906 * [backup-simplify]: Simplify 1 into 1
21.906 * [backup-simplify]: Simplify (+ n 0) into n
21.906 * [backup-simplify]: Simplify (log n) into (log n)
21.907 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.907 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.907 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.907 * [taylor]: Taking taylor expansion of 1 in i
21.907 * [backup-simplify]: Simplify 1 into 1
21.907 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i
21.907 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
21.907 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
21.907 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
21.907 * [taylor]: Taking taylor expansion of (/ -1 n) in i
21.907 * [taylor]: Taking taylor expansion of -1 in i
21.907 * [backup-simplify]: Simplify -1 into -1
21.907 * [taylor]: Taking taylor expansion of n in i
21.907 * [backup-simplify]: Simplify n into n
21.907 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
21.907 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
21.907 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
21.907 * [taylor]: Taking taylor expansion of (/ n i) in i
21.907 * [taylor]: Taking taylor expansion of n in i
21.907 * [backup-simplify]: Simplify n into n
21.907 * [taylor]: Taking taylor expansion of i in i
21.907 * [backup-simplify]: Simplify 0 into 0
21.907 * [backup-simplify]: Simplify 1 into 1
21.907 * [backup-simplify]: Simplify (/ n 1) into n
21.907 * [taylor]: Taking taylor expansion of 1 in i
21.907 * [backup-simplify]: Simplify 1 into 1
21.907 * [backup-simplify]: Simplify (+ n 0) into n
21.907 * [backup-simplify]: Simplify (log n) into (log n)
21.908 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.908 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
21.908 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.908 * [taylor]: Taking taylor expansion of 1 in i
21.908 * [backup-simplify]: Simplify 1 into 1
21.908 * [backup-simplify]: Simplify (- 1) into -1
21.908 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.908 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n
21.908 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.908 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.908 * [taylor]: Taking taylor expansion of -1 in n
21.908 * [backup-simplify]: Simplify -1 into -1
21.908 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.908 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.908 * [taylor]: Taking taylor expansion of (log n) in n
21.908 * [taylor]: Taking taylor expansion of n in n
21.908 * [backup-simplify]: Simplify 0 into 0
21.908 * [backup-simplify]: Simplify 1 into 1
21.909 * [backup-simplify]: Simplify (log 1) into 0
21.909 * [taylor]: Taking taylor expansion of (log i) in n
21.909 * [taylor]: Taking taylor expansion of i in n
21.909 * [backup-simplify]: Simplify i into i
21.909 * [backup-simplify]: Simplify (log i) into (log i)
21.909 * [taylor]: Taking taylor expansion of n in n
21.909 * [backup-simplify]: Simplify 0 into 0
21.909 * [backup-simplify]: Simplify 1 into 1
21.909 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.909 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.909 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.909 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.909 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.909 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.909 * [taylor]: Taking taylor expansion of 1 in n
21.909 * [backup-simplify]: Simplify 1 into 1
21.910 * [backup-simplify]: Simplify (- 1) into -1
21.910 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.910 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
21.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
21.911 * [backup-simplify]: Simplify (+ 0 1) into 1
21.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
21.911 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
21.912 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.912 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
21.912 * [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)))
21.912 * [backup-simplify]: Simplify (- 0) into 0
21.912 * [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)))
21.912 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
21.912 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
21.912 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.912 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.913 * [taylor]: Taking taylor expansion of -1 in n
21.913 * [backup-simplify]: Simplify -1 into -1
21.913 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.913 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.913 * [taylor]: Taking taylor expansion of (log n) in n
21.913 * [taylor]: Taking taylor expansion of n in n
21.913 * [backup-simplify]: Simplify 0 into 0
21.913 * [backup-simplify]: Simplify 1 into 1
21.913 * [backup-simplify]: Simplify (log 1) into 0
21.913 * [taylor]: Taking taylor expansion of (log i) in n
21.913 * [taylor]: Taking taylor expansion of i in n
21.913 * [backup-simplify]: Simplify i into i
21.913 * [backup-simplify]: Simplify (log i) into (log i)
21.913 * [taylor]: Taking taylor expansion of n in n
21.913 * [backup-simplify]: Simplify 0 into 0
21.913 * [backup-simplify]: Simplify 1 into 1
21.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.913 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.913 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.913 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.913 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.914 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.914 * [taylor]: Taking taylor expansion of (pow n 2) in n
21.914 * [taylor]: Taking taylor expansion of n in n
21.914 * [backup-simplify]: Simplify 0 into 0
21.914 * [backup-simplify]: Simplify 1 into 1
21.914 * [backup-simplify]: Simplify (* 1 1) into 1
21.914 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.917 * [backup-simplify]: Simplify (- 0) into 0
21.917 * [backup-simplify]: Simplify 0 into 0
21.917 * [backup-simplify]: Simplify (- 0) into 0
21.917 * [backup-simplify]: Simplify (+ 0 0) into 0
21.917 * [backup-simplify]: Simplify 0 into 0
21.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.918 * [backup-simplify]: Simplify (+ 0 0) into 0
21.919 * [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))
21.920 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.920 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.920 * [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)))
21.920 * [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)))))
21.920 * [backup-simplify]: Simplify (- 0) into 0
21.921 * [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))))
21.921 * [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
21.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
21.921 * [taylor]: Taking taylor expansion of 1/2 in n
21.921 * [backup-simplify]: Simplify 1/2 into 1/2
21.921 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
21.921 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.921 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.921 * [taylor]: Taking taylor expansion of -1 in n
21.921 * [backup-simplify]: Simplify -1 into -1
21.921 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.921 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.921 * [taylor]: Taking taylor expansion of (log n) in n
21.921 * [taylor]: Taking taylor expansion of n in n
21.921 * [backup-simplify]: Simplify 0 into 0
21.921 * [backup-simplify]: Simplify 1 into 1
21.921 * [backup-simplify]: Simplify (log 1) into 0
21.921 * [taylor]: Taking taylor expansion of (log i) in n
21.921 * [taylor]: Taking taylor expansion of i in n
21.921 * [backup-simplify]: Simplify i into i
21.921 * [backup-simplify]: Simplify (log i) into (log i)
21.921 * [taylor]: Taking taylor expansion of n in n
21.921 * [backup-simplify]: Simplify 0 into 0
21.921 * [backup-simplify]: Simplify 1 into 1
21.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.922 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.922 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.922 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.922 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.922 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.922 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.922 * [taylor]: Taking taylor expansion of n in n
21.922 * [backup-simplify]: Simplify 0 into 0
21.922 * [backup-simplify]: Simplify 1 into 1
21.922 * [backup-simplify]: Simplify (* 1 1) into 1
21.922 * [backup-simplify]: Simplify (* 1 1) into 1
21.923 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
21.923 * [taylor]: Taking taylor expansion of 1/2 in n
21.923 * [backup-simplify]: Simplify 1/2 into 1/2
21.923 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
21.923 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.923 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.923 * [taylor]: Taking taylor expansion of -1 in n
21.923 * [backup-simplify]: Simplify -1 into -1
21.923 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.923 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.923 * [taylor]: Taking taylor expansion of (log n) in n
21.923 * [taylor]: Taking taylor expansion of n in n
21.923 * [backup-simplify]: Simplify 0 into 0
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (log 1) into 0
21.923 * [taylor]: Taking taylor expansion of (log i) in n
21.923 * [taylor]: Taking taylor expansion of i in n
21.923 * [backup-simplify]: Simplify i into i
21.923 * [backup-simplify]: Simplify (log i) into (log i)
21.923 * [taylor]: Taking taylor expansion of n in n
21.923 * [backup-simplify]: Simplify 0 into 0
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.923 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.923 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.924 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.924 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.924 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.924 * [taylor]: Taking taylor expansion of (pow n 3) in n
21.924 * [taylor]: Taking taylor expansion of n in n
21.924 * [backup-simplify]: Simplify 0 into 0
21.924 * [backup-simplify]: Simplify 1 into 1
21.924 * [backup-simplify]: Simplify (* 1 1) into 1
21.924 * [backup-simplify]: Simplify (* 1 1) into 1
21.924 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.933 * [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
21.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
21.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
21.940 * [backup-simplify]: Simplify (+ 0 0) into 0
21.940 * [backup-simplify]: Simplify 0 into 0
21.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.942 * [backup-simplify]: Simplify (- 0) into 0
21.942 * [backup-simplify]: Simplify 0 into 0
21.943 * [backup-simplify]: Simplify (- 0) into 0
21.943 * [backup-simplify]: Simplify (+ 0 0) into 0
21.943 * [backup-simplify]: Simplify 0 into 0
21.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.944 * [backup-simplify]: Simplify (+ 0 0) into 0
21.946 * [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))
21.946 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
21.946 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
21.946 * [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))))
21.947 * [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)))))))
21.947 * [backup-simplify]: Simplify (- 0) into 0
21.947 * [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))))))
21.947 * [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
21.947 * [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
21.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
21.947 * [taylor]: Taking taylor expansion of 1/2 in n
21.947 * [backup-simplify]: Simplify 1/2 into 1/2
21.947 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
21.947 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.947 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.947 * [taylor]: Taking taylor expansion of -1 in n
21.948 * [backup-simplify]: Simplify -1 into -1
21.948 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.948 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.948 * [taylor]: Taking taylor expansion of (log n) in n
21.948 * [taylor]: Taking taylor expansion of n in n
21.948 * [backup-simplify]: Simplify 0 into 0
21.948 * [backup-simplify]: Simplify 1 into 1
21.948 * [backup-simplify]: Simplify (log 1) into 0
21.948 * [taylor]: Taking taylor expansion of (log i) in n
21.948 * [taylor]: Taking taylor expansion of i in n
21.948 * [backup-simplify]: Simplify i into i
21.948 * [backup-simplify]: Simplify (log i) into (log i)
21.948 * [taylor]: Taking taylor expansion of n in n
21.948 * [backup-simplify]: Simplify 0 into 0
21.948 * [backup-simplify]: Simplify 1 into 1
21.948 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.948 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.948 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.948 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.948 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.948 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.949 * [taylor]: Taking taylor expansion of (pow n 5) in n
21.949 * [taylor]: Taking taylor expansion of n in n
21.949 * [backup-simplify]: Simplify 0 into 0
21.949 * [backup-simplify]: Simplify 1 into 1
21.949 * [backup-simplify]: Simplify (* 1 1) into 1
21.949 * [backup-simplify]: Simplify (* 1 1) into 1
21.949 * [backup-simplify]: Simplify (* 1 1) into 1
21.949 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.949 * [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
21.949 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
21.949 * [taylor]: Taking taylor expansion of 1/6 in n
21.949 * [backup-simplify]: Simplify 1/6 into 1/6
21.950 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
21.950 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.950 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.950 * [taylor]: Taking taylor expansion of -1 in n
21.950 * [backup-simplify]: Simplify -1 into -1
21.950 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.950 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.950 * [taylor]: Taking taylor expansion of (log n) in n
21.950 * [taylor]: Taking taylor expansion of n in n
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [backup-simplify]: Simplify 1 into 1
21.950 * [backup-simplify]: Simplify (log 1) into 0
21.950 * [taylor]: Taking taylor expansion of (log i) in n
21.950 * [taylor]: Taking taylor expansion of i in n
21.950 * [backup-simplify]: Simplify i into i
21.950 * [backup-simplify]: Simplify (log i) into (log i)
21.950 * [taylor]: Taking taylor expansion of n in n
21.950 * [backup-simplify]: Simplify 0 into 0
21.950 * [backup-simplify]: Simplify 1 into 1
21.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.950 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.950 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.950 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.950 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.951 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.951 * [taylor]: Taking taylor expansion of (pow n 6) in n
21.951 * [taylor]: Taking taylor expansion of n in n
21.951 * [backup-simplify]: Simplify 0 into 0
21.951 * [backup-simplify]: Simplify 1 into 1
21.951 * [backup-simplify]: Simplify (* 1 1) into 1
21.951 * [backup-simplify]: Simplify (* 1 1) into 1
21.951 * [backup-simplify]: Simplify (* 1 1) into 1
21.951 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.951 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
21.951 * [taylor]: Taking taylor expansion of 1/3 in n
21.951 * [backup-simplify]: Simplify 1/3 into 1/3
21.951 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
21.951 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
21.952 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
21.952 * [taylor]: Taking taylor expansion of -1 in n
21.952 * [backup-simplify]: Simplify -1 into -1
21.952 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
21.952 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
21.952 * [taylor]: Taking taylor expansion of (log n) in n
21.952 * [taylor]: Taking taylor expansion of n in n
21.952 * [backup-simplify]: Simplify 0 into 0
21.952 * [backup-simplify]: Simplify 1 into 1
21.952 * [backup-simplify]: Simplify (log 1) into 0
21.952 * [taylor]: Taking taylor expansion of (log i) in n
21.952 * [taylor]: Taking taylor expansion of i in n
21.952 * [backup-simplify]: Simplify i into i
21.952 * [backup-simplify]: Simplify (log i) into (log i)
21.952 * [taylor]: Taking taylor expansion of n in n
21.952 * [backup-simplify]: Simplify 0 into 0
21.952 * [backup-simplify]: Simplify 1 into 1
21.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
21.952 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
21.952 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
21.952 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
21.952 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
21.953 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.953 * [taylor]: Taking taylor expansion of (pow n 4) in n
21.953 * [taylor]: Taking taylor expansion of n in n
21.953 * [backup-simplify]: Simplify 0 into 0
21.953 * [backup-simplify]: Simplify 1 into 1
21.953 * [backup-simplify]: Simplify (* 1 1) into 1
21.953 * [backup-simplify]: Simplify (* 1 1) into 1
21.953 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
21.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.967 * [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
21.969 * [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
21.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
21.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
21.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
21.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.985 * [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
21.987 * [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
21.989 * [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
21.991 * [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
21.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
21.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
21.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
21.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.999 * [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
22.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
22.000 * [backup-simplify]: Simplify (+ 0 0) into 0
22.000 * [backup-simplify]: Simplify (+ 0 0) into 0
22.000 * [backup-simplify]: Simplify (- 0) into 0
22.000 * [backup-simplify]: Simplify 0 into 0
22.001 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)
22.001 * * * [progress]: simplifying candidates
22.001 * * * * [progress]: [ 1 / 97 ] simplifiying candidate #<alt (λ (i n) (pow (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) 1))>
22.001 * * * * [progress]: [ 2 / 97 ] simplifiying candidate #<alt (λ (i n) (exp (- (+ (log 100) (log (- (pow (+ 1 (/ i n)) n) 1))) (- (log i) (log n)))))>
22.001 * * * * [progress]: [ 3 / 97 ] simplifiying candidate #<alt (λ (i n) (exp (- (+ (log 100) (log (- (pow (+ 1 (/ i n)) n) 1))) (log (/ i n)))))>
22.001 * * * * [progress]: [ 4 / 97 ] simplifiying candidate #<alt (λ (i n) (exp (- (log (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (- (log i) (log n)))))>
22.001 * * * * [progress]: [ 5 / 97 ] simplifiying candidate #<alt (λ (i n) (exp (- (log (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (log (/ i n)))))>
22.001 * * * * [progress]: [ 6 / 97 ] simplifiying candidate #<alt (λ (i n) (exp (log (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))))>
22.001 * * * * [progress]: [ 7 / 97 ] simplifiying candidate #<alt (λ (i n) (log (exp (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))))>
22.001 * * * * [progress]: [ 8 / 97 ] 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 i) i) (* (* n n) n)))))>
22.001 * * * * [progress]: [ 9 / 97 ] 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)))))>
22.001 * * * * [progress]: [ 10 / 97 ] simplifiying candidate #<alt (λ (i n) (cbrt (/ (* (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (* i i) i) (* (* n n) n)))))>
22.001 * * * * [progress]: [ 11 / 97 ] simplifiying candidate #<alt (λ (i n) (cbrt (/ (* (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* (* (/ i n) (/ i n)) (/ i n)))))>
22.001 * * * * [progress]: [ 12 / 97 ] 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)))))>
22.001 * * * * [progress]: [ 13 / 97 ] 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)))))>
22.001 * * * * [progress]: [ 14 / 97 ] 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)))))>
22.001 * * * * [progress]: [ 15 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (- (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (- (/ i n))))>
22.001 * * * * [progress]: [ 16 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))))>
22.001 * * * * [progress]: [ 17 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (sqrt (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))>
22.001 * * * * [progress]: [ 18 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (cbrt n)))))>
22.002 * * * * [progress]: [ 19 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))))>
22.002 * * * * [progress]: [ 20 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (* (cbrt i) (cbrt i)) 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))))>
22.002 * * * * [progress]: [ 21 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))))>
22.002 * * * * [progress]: [ 22 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (sqrt i) (sqrt n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))))>
22.002 * * * * [progress]: [ 23 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ (sqrt i) 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n))))>
22.002 * * * * [progress]: [ 24 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ 1 (* (cbrt n) (cbrt n)))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))))>
22.002 * * * * [progress]: [ 25 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ 1 (sqrt n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))))>
22.002 * * * * [progress]: [ 26 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 (/ 1 1)) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
22.002 * * * * [progress]: [ 27 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 1) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
22.002 * * * * [progress]: [ 28 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ 100 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))>
22.002 * * * * [progress]: [ 29 / 97 ] simplifiying candidate #<alt (λ (i n) (* 1 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))>
22.002 * * * * [progress]: [ 30 / 97 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (/ i n))))>
22.002 * * * * [progress]: [ 31 / 97 ] simplifiying candidate #<alt (λ (i n) (/ 1 (/ (/ i n) (* 100 (- (pow (+ 1 (/ i n)) n) 1)))))>
22.002 * * * * [progress]: [ 32 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))>
22.002 * * * * [progress]: [ 33 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) (sqrt (/ i n))))>
22.002 * * * * [progress]: [ 34 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (cbrt i) (cbrt n))))>
22.002 * * * * [progress]: [ 35 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (cbrt i) (sqrt n))))>
22.002 * * * * [progress]: [ 36 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (cbrt i) n)))>
22.002 * * * * [progress]: [ 37 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt i) (cbrt n))))>
22.002 * * * * [progress]: [ 38 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n))) (/ (sqrt i) (sqrt n))))>
22.002 * * * * [progress]: [ 39 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1)) (/ (sqrt i) n)))>
22.002 * * * * [progress]: [ 40 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n)))) (/ i (cbrt n))))>
22.002 * * * * [progress]: [ 41 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n))) (/ i (sqrt n))))>
22.002 * * * * [progress]: [ 42 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1)) (/ i n)))>
22.002 * * * * [progress]: [ 43 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) 1) (/ i n)))>
22.002 * * * * [progress]: [ 44 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (/ 1 n)))>
22.003 * * * * [progress]: [ 45 / 97 ] simplifiying candidate #<alt (λ (i n) (/ 100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))))>
22.003 * * * * [progress]: [ 46 / 97 ] simplifiying candidate #<alt (λ (i n) (* (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) n))>
22.003 * * * * [progress]: [ 47 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (pow (+ 1 (/ i n)) n) 3) (pow 1 3))) (* (/ i n) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))))>
22.003 * * * * [progress]: [ 48 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* 1 1))) (* (/ i n) (+ (pow (+ 1 (/ i n)) n) 1))))>
22.003 * * * * [progress]: [ 49 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 50 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 51 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (+ 1 (/ i n)) (* 1 n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 52 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (pow (+ 1 (/ i n)) (* (cbrt n) (cbrt n))) (cbrt n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 53 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (pow (+ 1 (/ i n)) (sqrt n)) (sqrt n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 54 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (pow (+ 1 (/ i n)) 1) n) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 55 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (pow (cbrt (+ 1 (/ i n))) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 56 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow (sqrt (+ 1 (/ i n))) n) (pow (sqrt (+ 1 (/ i n))) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 57 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow 1 n) (pow (+ 1 (/ i n)) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 58 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow 1 n) (pow (+ 1 (/ i n)) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 59 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (pow (pow (+ 1 (/ i n)) n) 1) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 60 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (log (pow (+ 1 (/ i n)) n))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 61 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (log (exp (pow (+ 1 (/ i n)) n))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 62 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (cbrt (pow (+ 1 (/ i n)) n))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 63 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (cbrt (* (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (pow (+ 1 (/ i n)) n))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 64 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (pow (+ 1 (/ i n)) n))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 65 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* 1 (pow (+ 1 (/ i n)) n)) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 66 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (pow (+ 1 (/ i n)) (/ n 2)) (pow (+ 1 (/ i n)) (/ n 2))) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 67 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (log (/ (exp (pow (+ 1 (/ i n)) n)) (exp 1)))) (/ i n)))>
22.003 * * * * [progress]: [ 68 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (pow (- (pow (+ 1 (/ i n)) n) 1) 1)) (/ i n)))>
22.003 * * * * [progress]: [ 69 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (exp (log (- (pow (+ 1 (/ i n)) n) 1)))) (/ i n)))>
22.003 * * * * [progress]: [ 70 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (log (exp (- (pow (+ 1 (/ i n)) n) 1)))) (/ i n)))>
22.003 * * * * [progress]: [ 71 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))) (/ i n)))>
22.003 * * * * [progress]: [ 72 / 97 ] 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)))>
22.004 * * * * [progress]: [ 73 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (- (pow (+ 1 (/ i n)) n) 1)))) (/ i n)))>
22.004 * * * * [progress]: [ 74 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (/ (- (pow (pow (+ 1 (/ i n)) n) 3) (pow 1 3)) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))) (/ i n)))>
22.004 * * * * [progress]: [ 75 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (+ (pow (+ 1 (/ i n)) n) (- 1))) (/ i n)))>
22.004 * * * * [progress]: [ 76 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* 1 (- (pow (+ 1 (/ i n)) n) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 77 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* 1 1)) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 78 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)) (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1)))) (/ i n)))>
22.004 * * * * [progress]: [ 79 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (- (pow (sqrt (+ 1 (/ i n))) n) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 80 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)) (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1)))) (/ i n)))>
22.004 * * * * [progress]: [ 81 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (- (sqrt (pow (+ 1 (/ i n)) n)) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 82 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)) (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1)))) (/ i n)))>
22.004 * * * * [progress]: [ 83 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (- (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 84 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (- (pow (sqrt (+ 1 (/ i n))) n) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (- (sqrt (pow (+ 1 (/ i n)) n)) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 86 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (- (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 87 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (* 1 (- (pow (+ 1 (/ i n)) n) 1))) (/ i n)))>
22.004 * * * * [progress]: [ 88 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (+ (pow (+ 1 (/ i n)) n) (- 1))) (/ i n)))>
22.004 * * * * [progress]: [ 89 / 97 ] simplifiying candidate #<alt (λ (i n) 0)>
22.004 * * * * [progress]: [ 90 / 97 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
22.004 * * * * [progress]: [ 91 / 97 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
22.004 * * * * [progress]: [ 92 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (+ i (+ (* 1/2 (pow i 2)) 1)) 1)) (/ i n)))>
22.004 * * * * [progress]: [ 93 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)) (/ i n)))>
22.004 * * * * [progress]: [ 94 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) (/ i n)))>
22.004 * * * * [progress]: [ 95 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3))))) (/ i n)))>
22.004 * * * * [progress]: [ 96 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1)) (/ i n)))>
22.004 * * * * [progress]: [ 97 / 97 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) (/ i n)))>
22.005 * [simplify]: Simplifying:
  (- (+ (log 100) (log (- (pow (+ 1 (/ i n)) n) 1))) (- (log i) (log n)))
  (- (+ (log 100) (log (- (pow (+ 1 (/ i n)) n) 1))) (log (/ i n)))
  (- (log (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (- (log i) (log n)))
  (- (log (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (log (/ i n)))
  (log (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))
  (exp (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)))
  (/ (* (* (* 100 100) 100) (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (* 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)))
  (/ (* (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (* i i) i) (* (* n n) n)))
  (/ (* (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* 100 (- (pow (+ 1 (/ i n)) n) 1))) (* (* (/ i n) (/ i n)) (/ 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)))
  (- (* 100 (- (pow (+ 1 (/ i n)) n) 1)))
  (- (/ i n))
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))
  (/ 100 (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (cbrt n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (sqrt n)))
  (/ 100 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) n))
  (/ 100 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (cbrt n)))
  (/ 100 (/ (sqrt i) (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) (sqrt n)))
  (/ 100 (/ (sqrt i) 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (sqrt i) n))
  (/ 100 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))
  (/ 100 (/ 1 (sqrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))
  (/ 100 (/ 1 1))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  (/ 100 1)
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  (/ 100 i)
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))
  (/ 1 (/ i n))
  (/ (/ i n) (* 100 (- (pow (+ 1 (/ i n)) n) 1)))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) (sqrt n)))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ (sqrt i) 1))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 (sqrt n)))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 1))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) 1)
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i)
  (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))
  (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i)
  (* (/ i n) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))
  (* (/ i n) (+ (pow (+ 1 (/ i n)) n) 1))
  (* (log (+ 1 (/ i n))) n)
  (* (log (+ 1 (/ i n))) n)
  (* 1 n)
  (pow (+ 1 (/ i n)) (* (cbrt n) (cbrt n)))
  (pow (+ 1 (/ i n)) (sqrt n))
  (pow (+ 1 (/ i n)) 1)
  (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n)
  (pow (cbrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  (pow 1 n)
  (pow (+ 1 (/ i n)) n)
  (pow 1 n)
  (pow (+ 1 (/ i n)) n)
  (log (pow (+ 1 (/ i n)) n))
  (exp (pow (+ 1 (/ i n)) n))
  (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n)))
  (cbrt (pow (+ 1 (/ i n)) n))
  (* (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (pow (+ 1 (/ i n)) n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (pow (+ 1 (/ i n)) (/ n 2))
  (pow (+ 1 (/ i n)) (/ n 2))
  (/ (exp (pow (+ 1 (/ i n)) n)) (exp 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))
  (- (pow (pow (+ 1 (/ i n)) n) 3) (pow 1 3))
  (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1)))
  (- 1)
  (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* 1 1))
  (+ (pow (+ 1 (/ i n)) n) 1)
  (+ (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1))
  (- (pow (sqrt (+ 1 (/ i n))) n) (sqrt 1))
  (+ (pow (sqrt (+ 1 (/ i n))) n) 1)
  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1))
  (- (sqrt (pow (+ 1 (/ i n)) n)) (sqrt 1))
  (+ (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (- (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (+ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 1))
  (- (pow (+ 1 (/ i n)) (/ n 2)) (sqrt 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)
  (+ (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (- (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)
  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 (+ (* 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)
22.007 * * [simplify]: iteration 1: (204 enodes)
22.086 * * [simplify]: iteration 2: (548 enodes)
22.429 * * [simplify]: iteration 3: (1952 enodes)
29.937 * * [simplify]: Extracting #0: cost 92 inf + 0
29.939 * * [simplify]: Extracting #1: cost 1296 inf + 5
29.949 * * [simplify]: Extracting #2: cost 3188 inf + 4303
29.972 * * [simplify]: Extracting #3: cost 2743 inf + 95541
30.039 * * [simplify]: Extracting #4: cost 1278 inf + 664487
30.207 * * [simplify]: Extracting #5: cost 74 inf + 1255055
30.400 * * [simplify]: Extracting #6: cost 0 inf + 1291579
30.591 * * [simplify]: Extracting #7: cost 0 inf + 1290314
30.783 * * [simplify]: Extracting #8: cost 0 inf + 1289854
30.976 * [simplify]: Simplified to:
  (log (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (log (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (log (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (log (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (log (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (exp (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (* (cbrt (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))) (cbrt (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (cbrt (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)) (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1))))
  (sqrt (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (sqrt (* (/ 100 (/ i n)) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (- (pow (+ 1 (/ i n)) n) 1) -100)
  (/ (- i) n)
  (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))
  (/ 100 (sqrt (/ i n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))
  (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (cbrt n)))
  (/ (sqrt n) (/ (cbrt i) (/ 100 (cbrt i))))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) (sqrt n)) (cbrt i))
  (/ 100 (* (cbrt i) (cbrt i)))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) (cbrt i))
  (* (/ (* 100 (cbrt n)) (sqrt i)) (cbrt n))
  (* (cbrt n) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt i)))
  (* (sqrt n) (/ 100 (sqrt i)))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt i)) (sqrt n))
  (/ 100 (sqrt i))
  (/ (* (- (pow (+ 1 (/ i n)) n) 1) n) (sqrt i))
  (* 100 (* (cbrt n) (cbrt n)))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (cbrt n)))
  (* 100 (sqrt n))
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i (sqrt n)))
  100
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  100
  (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))
  (/ 100 i)
  (* (- (pow (+ 1 (/ i n)) n) 1) n)
  (/ n i)
  (* 1/100 (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1)))
  (* (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (- (pow (+ 1 (/ i n)) n) 1))
  (* (- (pow (+ 1 (/ i n)) n) 1) (/ 100 (sqrt (/ i n))))
  (* (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (- (pow (+ 1 (/ i n)) n) 1))
  (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) 100)
  (* (/ 100 (cbrt i)) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt i)))
  (* (* (/ (* 100 (cbrt n)) (sqrt i)) (cbrt n)) (- (pow (+ 1 (/ i n)) n) 1))
  (* (* (/ 100 (sqrt i)) (- (pow (+ 1 (/ i n)) n) 1)) (sqrt n))
  (* (/ 100 (sqrt i)) (- (pow (+ 1 (/ i n)) n) 1))
  (* (* 100 (* (cbrt n) (cbrt n))) (- (pow (+ 1 (/ i n)) n) 1))
  (* (* 100 (sqrt n)) (- (pow (+ 1 (/ i n)) n) 1))
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  (* (- (pow (+ 1 (/ i n)) n) 1) 100)
  (* (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1))
  (/ (/ i n) (- (pow (+ 1 (/ i n)) n) 1))
  (* (/ 100 i) (- (pow (+ 1 (/ i n)) n) 1))
  (+ (+ (/ i n) (* (/ i n) (pow (+ 1 (/ i n)) n))) (* (* (/ i n) (pow (+ 1 (/ i n)) n)) (pow (+ 1 (/ i n)) n)))
  (+ (/ i n) (* (/ i n) (pow (+ 1 (/ i n)) n)))
  (* (log (+ 1 (/ i n))) n)
  (* (log (+ 1 (/ i n))) n)
  n
  (pow (+ 1 (/ i n)) (* (cbrt n) (cbrt n)))
  (pow (+ 1 (/ i n)) (sqrt n))
  (+ 1 (/ i n))
  (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n)
  (pow (cbrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  1
  (pow (+ 1 (/ i n)) n)
  1
  (pow (+ 1 (/ i n)) n)
  (* (log (+ 1 (/ i n))) n)
  (exp (pow (+ 1 (/ i n)) n))
  (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n)))
  (cbrt (pow (+ 1 (/ i n)) n))
  (* (pow (+ 1 (/ i n)) n) (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)))
  (sqrt (pow (+ 1 (/ i n)) n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (pow (+ 1 (/ i n)) (/ n 2))
  (pow (+ 1 (/ i n)) (/ n 2))
  (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))
  (- (* (pow (+ 1 (/ i n)) n) (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n))) 1)
  (+ (+ 1 (pow (+ 1 (/ i n)) n)) (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)))
  -1
  (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1)
  (+ (pow (+ 1 (/ i n)) n) 1)
  (+ 1 (pow (sqrt (+ 1 (/ i n))) n))
  (- (pow (sqrt (+ 1 (/ i n))) n) 1)
  (+ 1 (pow (sqrt (+ 1 (/ i n))) n))
  (- (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)
  (+ 1 (pow (sqrt (+ 1 (/ i n))) n))
  (- (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
  0
  (* (/ (+ -1 (exp (* n (log (/ i n))))) (/ i n)) 100)
  (* (/ (* n 100) i) (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1))
  (+ 1 (+ (* i (* 1/2 i)) i))
  (exp (* n (log (/ i n))))
  (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
  (+ (* (* i i) (+ 1/2 (* i 1/6))) i)
  (+ -1 (exp (* n (log (/ i n)))))
  (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1)
30.982 * * * [progress]: adding candidates to table
31.507 * * [progress]: iteration 3 / 4
31.507 * * * [progress]: picking best candidate
31.521 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))>
31.521 * * * [progress]: localizing error
31.540 * * * [progress]: generating rewritten candidates
31.540 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
31.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
31.632 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
31.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
31.668 * * * [progress]: generating series expansions
31.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
31.668 * [backup-simplify]: Simplify (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) into (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i))
31.668 * [approximate]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in (i n) around 0
31.668 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in n
31.668 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in n
31.668 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in n
31.668 * [taylor]: Taking taylor expansion of n in n
31.668 * [backup-simplify]: Simplify 0 into 0
31.668 * [backup-simplify]: Simplify 1 into 1
31.668 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
31.668 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
31.668 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
31.668 * [taylor]: Taking taylor expansion of n in n
31.668 * [backup-simplify]: Simplify 0 into 0
31.668 * [backup-simplify]: Simplify 1 into 1
31.668 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
31.668 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
31.668 * [taylor]: Taking taylor expansion of (/ i n) in n
31.668 * [taylor]: Taking taylor expansion of i in n
31.668 * [backup-simplify]: Simplify i into i
31.668 * [taylor]: Taking taylor expansion of n in n
31.669 * [backup-simplify]: Simplify 0 into 0
31.669 * [backup-simplify]: Simplify 1 into 1
31.669 * [backup-simplify]: Simplify (/ i 1) into i
31.669 * [taylor]: Taking taylor expansion of 1 in n
31.669 * [backup-simplify]: Simplify 1 into 1
31.669 * [backup-simplify]: Simplify (+ i 0) into i
31.669 * [backup-simplify]: Simplify (log i) into (log i)
31.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
31.669 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
31.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
31.670 * [backup-simplify]: Simplify (+ 0 1) into 1
31.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
31.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
31.671 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
31.671 * [backup-simplify]: Simplify (exp 0) into 1
31.671 * [taylor]: Taking taylor expansion of i in n
31.671 * [backup-simplify]: Simplify i into i
31.671 * [backup-simplify]: Simplify (* 0 1) into 0
31.671 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
31.672 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 1)) into 1
31.672 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
31.672 * [taylor]: Taking taylor expansion of (/ n i) in n
31.672 * [taylor]: Taking taylor expansion of n in n
31.672 * [backup-simplify]: Simplify 0 into 0
31.672 * [backup-simplify]: Simplify 1 into 1
31.672 * [taylor]: Taking taylor expansion of i in n
31.672 * [backup-simplify]: Simplify i into i
31.672 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
31.672 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in i
31.672 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i
31.672 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i
31.672 * [taylor]: Taking taylor expansion of n in i
31.672 * [backup-simplify]: Simplify n into n
31.672 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
31.672 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
31.672 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
31.672 * [taylor]: Taking taylor expansion of n in i
31.672 * [backup-simplify]: Simplify n into n
31.672 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
31.672 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
31.672 * [taylor]: Taking taylor expansion of (/ i n) in i
31.672 * [taylor]: Taking taylor expansion of i in i
31.672 * [backup-simplify]: Simplify 0 into 0
31.672 * [backup-simplify]: Simplify 1 into 1
31.672 * [taylor]: Taking taylor expansion of n in i
31.672 * [backup-simplify]: Simplify n into n
31.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.672 * [taylor]: Taking taylor expansion of 1 in i
31.672 * [backup-simplify]: Simplify 1 into 1
31.672 * [backup-simplify]: Simplify (+ 0 1) into 1
31.672 * [backup-simplify]: Simplify (log 1) into 0
31.673 * [backup-simplify]: Simplify (* n 0) into 0
31.673 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
31.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
31.673 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
31.673 * [backup-simplify]: Simplify (exp 0) into 1
31.673 * [taylor]: Taking taylor expansion of i in i
31.673 * [backup-simplify]: Simplify 0 into 0
31.673 * [backup-simplify]: Simplify 1 into 1
31.673 * [backup-simplify]: Simplify (* n 1) into n
31.673 * [backup-simplify]: Simplify (/ n 1) into n
31.673 * [taylor]: Taking taylor expansion of (/ n i) in i
31.673 * [taylor]: Taking taylor expansion of n in i
31.673 * [backup-simplify]: Simplify n into n
31.673 * [taylor]: Taking taylor expansion of i in i
31.673 * [backup-simplify]: Simplify 0 into 0
31.673 * [backup-simplify]: Simplify 1 into 1
31.673 * [backup-simplify]: Simplify (/ n 1) into n
31.673 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in i
31.673 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i
31.673 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i
31.673 * [taylor]: Taking taylor expansion of n in i
31.674 * [backup-simplify]: Simplify n into n
31.674 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
31.674 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
31.674 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
31.674 * [taylor]: Taking taylor expansion of n in i
31.674 * [backup-simplify]: Simplify n into n
31.674 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
31.674 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
31.674 * [taylor]: Taking taylor expansion of (/ i n) in i
31.674 * [taylor]: Taking taylor expansion of i in i
31.674 * [backup-simplify]: Simplify 0 into 0
31.674 * [backup-simplify]: Simplify 1 into 1
31.674 * [taylor]: Taking taylor expansion of n in i
31.674 * [backup-simplify]: Simplify n into n
31.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.674 * [taylor]: Taking taylor expansion of 1 in i
31.674 * [backup-simplify]: Simplify 1 into 1
31.674 * [backup-simplify]: Simplify (+ 0 1) into 1
31.674 * [backup-simplify]: Simplify (log 1) into 0
31.674 * [backup-simplify]: Simplify (* n 0) into 0
31.674 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
31.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
31.675 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
31.675 * [backup-simplify]: Simplify (exp 0) into 1
31.675 * [taylor]: Taking taylor expansion of i in i
31.675 * [backup-simplify]: Simplify 0 into 0
31.675 * [backup-simplify]: Simplify 1 into 1
31.675 * [backup-simplify]: Simplify (* n 1) into n
31.675 * [backup-simplify]: Simplify (/ n 1) into n
31.675 * [taylor]: Taking taylor expansion of (/ n i) in i
31.675 * [taylor]: Taking taylor expansion of n in i
31.675 * [backup-simplify]: Simplify n into n
31.675 * [taylor]: Taking taylor expansion of i in i
31.675 * [backup-simplify]: Simplify 0 into 0
31.675 * [backup-simplify]: Simplify 1 into 1
31.675 * [backup-simplify]: Simplify (/ n 1) into n
31.675 * [backup-simplify]: Simplify (- n) into (- n)
31.675 * [backup-simplify]: Simplify (+ n (- n)) into 0
31.675 * [taylor]: Taking taylor expansion of 0 in n
31.675 * [backup-simplify]: Simplify 0 into 0
31.675 * [backup-simplify]: Simplify 0 into 0
31.676 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
31.676 * [backup-simplify]: Simplify (+ (* n 1) (* 0 1)) into n
31.677 * [backup-simplify]: Simplify (- (/ n 1) (+ (* n (/ 0 1)))) into n
31.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.677 * [backup-simplify]: Simplify (- 0) into 0
31.677 * [backup-simplify]: Simplify (+ n 0) into n
31.677 * [taylor]: Taking taylor expansion of n in n
31.677 * [backup-simplify]: Simplify 0 into 0
31.677 * [backup-simplify]: Simplify 1 into 1
31.677 * [backup-simplify]: Simplify 1 into 1
31.677 * [backup-simplify]: Simplify 0 into 0
31.678 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
31.678 * [backup-simplify]: Simplify (+ 0 0) into 0
31.679 * [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))
31.679 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
31.680 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
31.680 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 1))) into (- (* 1/2 n) 1/2)
31.681 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)) (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
31.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.682 * [backup-simplify]: Simplify (- 0) into 0
31.682 * [backup-simplify]: Simplify (+ (- (* 1/2 n) 1/2) 0) into (- (* 1/2 n) 1/2)
31.682 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
31.682 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
31.682 * [taylor]: Taking taylor expansion of 1/2 in n
31.682 * [backup-simplify]: Simplify 1/2 into 1/2
31.682 * [taylor]: Taking taylor expansion of n in n
31.682 * [backup-simplify]: Simplify 0 into 0
31.682 * [backup-simplify]: Simplify 1 into 1
31.682 * [taylor]: Taking taylor expansion of 1/2 in n
31.682 * [backup-simplify]: Simplify 1/2 into 1/2
31.682 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
31.682 * [backup-simplify]: Simplify (- 0) into 0
31.683 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
31.683 * [backup-simplify]: Simplify 1/2 into 1/2
31.683 * [backup-simplify]: Simplify 0 into 0
31.683 * [backup-simplify]: Simplify 0 into 0
31.683 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.683 * [backup-simplify]: Simplify (+ 0 0) into 0
31.685 * [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))
31.685 * [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)))
31.686 * [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)))
31.686 * [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 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
31.687 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
31.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.689 * [backup-simplify]: Simplify (- 0) into 0
31.689 * [backup-simplify]: Simplify (+ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 0) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)
31.689 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n
31.689 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n
31.689 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
31.689 * [taylor]: Taking taylor expansion of 1/6 in n
31.689 * [backup-simplify]: Simplify 1/6 into 1/6
31.689 * [taylor]: Taking taylor expansion of n in n
31.689 * [backup-simplify]: Simplify 0 into 0
31.689 * [backup-simplify]: Simplify 1 into 1
31.689 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n
31.689 * [taylor]: Taking taylor expansion of 1/3 in n
31.689 * [backup-simplify]: Simplify 1/3 into 1/3
31.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.689 * [taylor]: Taking taylor expansion of n in n
31.689 * [backup-simplify]: Simplify 0 into 0
31.689 * [backup-simplify]: Simplify 1 into 1
31.689 * [backup-simplify]: Simplify (/ 1 1) into 1
31.689 * [taylor]: Taking taylor expansion of 1/2 in n
31.689 * [backup-simplify]: Simplify 1/2 into 1/2
31.690 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
31.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
31.691 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
31.692 * [backup-simplify]: Simplify (- 0) into 0
31.692 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
31.692 * [backup-simplify]: Simplify 1/6 into 1/6
31.692 * [backup-simplify]: Simplify (+ (* 1/6 (* n (pow i 2))) (+ (* 1/2 (* n i)) (* 1 (* n 1)))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
31.692 * [backup-simplify]: Simplify (- (/ (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) (/ (/ 1 i) (/ 1 n))) (/ 1 (/ (/ 1 i) (/ 1 n)))) into (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n))
31.692 * [approximate]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in (i n) around 0
31.692 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in n
31.692 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in n
31.692 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in n
31.692 * [taylor]: Taking taylor expansion of i in n
31.692 * [backup-simplify]: Simplify i into i
31.692 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
31.692 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
31.692 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
31.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.692 * [taylor]: Taking taylor expansion of n in n
31.692 * [backup-simplify]: Simplify 0 into 0
31.693 * [backup-simplify]: Simplify 1 into 1
31.693 * [backup-simplify]: Simplify (/ 1 1) into 1
31.693 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
31.693 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
31.693 * [taylor]: Taking taylor expansion of (/ n i) in n
31.693 * [taylor]: Taking taylor expansion of n in n
31.693 * [backup-simplify]: Simplify 0 into 0
31.693 * [backup-simplify]: Simplify 1 into 1
31.693 * [taylor]: Taking taylor expansion of i in n
31.693 * [backup-simplify]: Simplify i into i
31.693 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
31.693 * [taylor]: Taking taylor expansion of 1 in n
31.693 * [backup-simplify]: Simplify 1 into 1
31.693 * [backup-simplify]: Simplify (+ 0 1) into 1
31.693 * [backup-simplify]: Simplify (log 1) into 0
31.694 * [backup-simplify]: Simplify (* 1 0) into 0
31.694 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
31.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
31.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.695 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
31.695 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
31.695 * [taylor]: Taking taylor expansion of n in n
31.695 * [backup-simplify]: Simplify 0 into 0
31.695 * [backup-simplify]: Simplify 1 into 1
31.695 * [backup-simplify]: Simplify (* i (exp (/ 1 i))) into (* i (exp (/ 1 i)))
31.695 * [backup-simplify]: Simplify (/ (* i (exp (/ 1 i))) 1) into (* i (exp (/ 1 i)))
31.695 * [taylor]: Taking taylor expansion of (/ i n) in n
31.695 * [taylor]: Taking taylor expansion of i in n
31.695 * [backup-simplify]: Simplify i into i
31.695 * [taylor]: Taking taylor expansion of n in n
31.695 * [backup-simplify]: Simplify 0 into 0
31.695 * [backup-simplify]: Simplify 1 into 1
31.695 * [backup-simplify]: Simplify (/ i 1) into i
31.695 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in i
31.695 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i
31.695 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i
31.695 * [taylor]: Taking taylor expansion of i in i
31.695 * [backup-simplify]: Simplify 0 into 0
31.695 * [backup-simplify]: Simplify 1 into 1
31.695 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
31.695 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
31.695 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
31.695 * [taylor]: Taking taylor expansion of (/ 1 n) in i
31.695 * [taylor]: Taking taylor expansion of n in i
31.695 * [backup-simplify]: Simplify n into n
31.695 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.695 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.695 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.695 * [taylor]: Taking taylor expansion of (/ n i) in i
31.695 * [taylor]: Taking taylor expansion of n in i
31.695 * [backup-simplify]: Simplify n into n
31.695 * [taylor]: Taking taylor expansion of i in i
31.695 * [backup-simplify]: Simplify 0 into 0
31.695 * [backup-simplify]: Simplify 1 into 1
31.695 * [backup-simplify]: Simplify (/ n 1) into n
31.695 * [taylor]: Taking taylor expansion of 1 in i
31.695 * [backup-simplify]: Simplify 1 into 1
31.695 * [backup-simplify]: Simplify (+ n 0) into n
31.695 * [backup-simplify]: Simplify (log n) into (log n)
31.696 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.696 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
31.696 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.696 * [taylor]: Taking taylor expansion of n in i
31.696 * [backup-simplify]: Simplify n into n
31.696 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0
31.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.697 * [backup-simplify]: Simplify (+ 0 1) into 1
31.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
31.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
31.697 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.698 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
31.698 * [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))
31.698 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (exp (/ (- (log n) (log i)) n)))) into (exp (/ (- (log n) (log i)) n))
31.698 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n)
31.698 * [taylor]: Taking taylor expansion of (/ i n) in i
31.698 * [taylor]: Taking taylor expansion of i in i
31.698 * [backup-simplify]: Simplify 0 into 0
31.698 * [backup-simplify]: Simplify 1 into 1
31.698 * [taylor]: Taking taylor expansion of n in i
31.698 * [backup-simplify]: Simplify n into n
31.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.698 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in i
31.698 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i
31.698 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i
31.698 * [taylor]: Taking taylor expansion of i in i
31.698 * [backup-simplify]: Simplify 0 into 0
31.698 * [backup-simplify]: Simplify 1 into 1
31.698 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
31.698 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
31.698 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
31.698 * [taylor]: Taking taylor expansion of (/ 1 n) in i
31.698 * [taylor]: Taking taylor expansion of n in i
31.698 * [backup-simplify]: Simplify n into n
31.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.698 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.698 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.698 * [taylor]: Taking taylor expansion of (/ n i) in i
31.698 * [taylor]: Taking taylor expansion of n in i
31.698 * [backup-simplify]: Simplify n into n
31.698 * [taylor]: Taking taylor expansion of i in i
31.698 * [backup-simplify]: Simplify 0 into 0
31.698 * [backup-simplify]: Simplify 1 into 1
31.698 * [backup-simplify]: Simplify (/ n 1) into n
31.699 * [taylor]: Taking taylor expansion of 1 in i
31.699 * [backup-simplify]: Simplify 1 into 1
31.699 * [backup-simplify]: Simplify (+ n 0) into n
31.699 * [backup-simplify]: Simplify (log n) into (log n)
31.699 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.699 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
31.699 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.699 * [taylor]: Taking taylor expansion of n in i
31.699 * [backup-simplify]: Simplify n into n
31.699 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0
31.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.700 * [backup-simplify]: Simplify (+ 0 1) into 1
31.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
31.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
31.701 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.701 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
31.701 * [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))
31.701 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (exp (/ (- (log n) (log i)) n)))) into (exp (/ (- (log n) (log i)) n))
31.701 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n)
31.701 * [taylor]: Taking taylor expansion of (/ i n) in i
31.701 * [taylor]: Taking taylor expansion of i in i
31.701 * [backup-simplify]: Simplify 0 into 0
31.701 * [backup-simplify]: Simplify 1 into 1
31.701 * [taylor]: Taking taylor expansion of n in i
31.701 * [backup-simplify]: Simplify n into n
31.701 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.701 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
31.701 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) n) (- (/ 1 n))) into (- (/ (exp (/ (- (log n) (log i)) n)) n) (/ 1 n))
31.701 * [taylor]: Taking taylor expansion of (- (/ (exp (/ (- (log n) (log i)) n)) n) (/ 1 n)) in n
31.701 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) n) in n
31.702 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.702 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.702 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.702 * [taylor]: Taking taylor expansion of (log n) in n
31.702 * [taylor]: Taking taylor expansion of n in n
31.702 * [backup-simplify]: Simplify 0 into 0
31.702 * [backup-simplify]: Simplify 1 into 1
31.702 * [backup-simplify]: Simplify (log 1) into 0
31.702 * [taylor]: Taking taylor expansion of (log i) in n
31.702 * [taylor]: Taking taylor expansion of i in n
31.702 * [backup-simplify]: Simplify i into i
31.702 * [backup-simplify]: Simplify (log i) into (log i)
31.702 * [taylor]: Taking taylor expansion of n in n
31.702 * [backup-simplify]: Simplify 0 into 0
31.702 * [backup-simplify]: Simplify 1 into 1
31.702 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.702 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.702 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.702 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.702 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.702 * [taylor]: Taking taylor expansion of n in n
31.702 * [backup-simplify]: Simplify 0 into 0
31.702 * [backup-simplify]: Simplify 1 into 1
31.703 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.703 * [taylor]: Taking taylor expansion of n in n
31.703 * [backup-simplify]: Simplify 0 into 0
31.703 * [backup-simplify]: Simplify 1 into 1
31.703 * [backup-simplify]: Simplify (/ 1 1) into 1
31.703 * [backup-simplify]: Simplify (- 1) into -1
31.703 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1)
31.703 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1)
31.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.704 * [backup-simplify]: Simplify (+ 0 0) into 0
31.705 * [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))
31.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.706 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.706 * [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))))
31.706 * [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)))
31.706 * [backup-simplify]: Simplify (+ (* 0 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n))))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
31.706 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (exp (/ (- (log n) (log i)) n)) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
31.707 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
31.707 * [backup-simplify]: Simplify (- 0) into 0
31.707 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
31.707 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
31.707 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.707 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.707 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.707 * [taylor]: Taking taylor expansion of (log n) in n
31.707 * [taylor]: Taking taylor expansion of n in n
31.707 * [backup-simplify]: Simplify 0 into 0
31.707 * [backup-simplify]: Simplify 1 into 1
31.707 * [backup-simplify]: Simplify (log 1) into 0
31.707 * [taylor]: Taking taylor expansion of (log i) in n
31.707 * [taylor]: Taking taylor expansion of i in n
31.707 * [backup-simplify]: Simplify i into i
31.707 * [backup-simplify]: Simplify (log i) into (log i)
31.707 * [taylor]: Taking taylor expansion of n in n
31.707 * [backup-simplify]: Simplify 0 into 0
31.707 * [backup-simplify]: Simplify 1 into 1
31.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.708 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.708 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.708 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.708 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.708 * [taylor]: Taking taylor expansion of (pow n 3) in n
31.708 * [taylor]: Taking taylor expansion of n in n
31.708 * [backup-simplify]: Simplify 0 into 0
31.708 * [backup-simplify]: Simplify 1 into 1
31.708 * [backup-simplify]: Simplify (* 1 1) into 1
31.708 * [backup-simplify]: Simplify (* 1 1) into 1
31.708 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.712 * [backup-simplify]: Simplify 0 into 0
31.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.713 * [backup-simplify]: Simplify (- 0) into 0
31.713 * [backup-simplify]: Simplify (+ 0 0) into 0
31.713 * [backup-simplify]: Simplify 0 into 0
31.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.714 * [backup-simplify]: Simplify (+ 0 0) into 0
31.716 * [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))
31.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.716 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.716 * [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)))
31.717 * [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)))))
31.718 * [backup-simplify]: Simplify (+ (* 0 (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))) (+ (* 1 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n)))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
31.718 * [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)) 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))))
31.718 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.719 * [backup-simplify]: Simplify (- 0) into 0
31.719 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))
31.719 * [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
31.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
31.719 * [taylor]: Taking taylor expansion of 1/2 in n
31.719 * [backup-simplify]: Simplify 1/2 into 1/2
31.719 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
31.719 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.719 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.719 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.719 * [taylor]: Taking taylor expansion of (log n) in n
31.719 * [taylor]: Taking taylor expansion of n in n
31.719 * [backup-simplify]: Simplify 0 into 0
31.719 * [backup-simplify]: Simplify 1 into 1
31.719 * [backup-simplify]: Simplify (log 1) into 0
31.719 * [taylor]: Taking taylor expansion of (log i) in n
31.719 * [taylor]: Taking taylor expansion of i in n
31.719 * [backup-simplify]: Simplify i into i
31.719 * [backup-simplify]: Simplify (log i) into (log i)
31.719 * [taylor]: Taking taylor expansion of n in n
31.719 * [backup-simplify]: Simplify 0 into 0
31.719 * [backup-simplify]: Simplify 1 into 1
31.720 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.720 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.720 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.720 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.720 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.720 * [taylor]: Taking taylor expansion of (pow n 5) in n
31.720 * [taylor]: Taking taylor expansion of n in n
31.720 * [backup-simplify]: Simplify 0 into 0
31.720 * [backup-simplify]: Simplify 1 into 1
31.720 * [backup-simplify]: Simplify (* 1 1) into 1
31.720 * [backup-simplify]: Simplify (* 1 1) into 1
31.721 * [backup-simplify]: Simplify (* 1 1) into 1
31.721 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
31.721 * [taylor]: Taking taylor expansion of 1/2 in n
31.721 * [backup-simplify]: Simplify 1/2 into 1/2
31.721 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
31.721 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.721 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.721 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.721 * [taylor]: Taking taylor expansion of (log n) in n
31.721 * [taylor]: Taking taylor expansion of n in n
31.721 * [backup-simplify]: Simplify 0 into 0
31.721 * [backup-simplify]: Simplify 1 into 1
31.721 * [backup-simplify]: Simplify (log 1) into 0
31.721 * [taylor]: Taking taylor expansion of (log i) in n
31.721 * [taylor]: Taking taylor expansion of i in n
31.721 * [backup-simplify]: Simplify i into i
31.721 * [backup-simplify]: Simplify (log i) into (log i)
31.721 * [taylor]: Taking taylor expansion of n in n
31.721 * [backup-simplify]: Simplify 0 into 0
31.721 * [backup-simplify]: Simplify 1 into 1
31.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.722 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.722 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.722 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.722 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.722 * [taylor]: Taking taylor expansion of (pow n 4) in n
31.722 * [taylor]: Taking taylor expansion of n in n
31.722 * [backup-simplify]: Simplify 0 into 0
31.722 * [backup-simplify]: Simplify 1 into 1
31.722 * [backup-simplify]: Simplify (* 1 1) into 1
31.722 * [backup-simplify]: Simplify (* 1 1) into 1
31.722 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
31.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
31.743 * [backup-simplify]: Simplify (- 0) into 0
31.743 * [backup-simplify]: Simplify (+ 0 0) into 0
31.743 * [backup-simplify]: Simplify 0 into 0
31.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.746 * [backup-simplify]: Simplify 0 into 0
31.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.747 * [backup-simplify]: Simplify (- 0) into 0
31.747 * [backup-simplify]: Simplify (+ 0 0) into 0
31.747 * [backup-simplify]: Simplify 0 into 0
31.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.749 * [backup-simplify]: Simplify (+ 0 0) into 0
31.751 * [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))
31.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.752 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.752 * [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))))
31.753 * [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))))))
31.754 * [backup-simplify]: Simplify (+ (* 0 (* (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))))))) (+ (* 1 (* (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 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n))))))) 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))))
31.755 * [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)) 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))))
31.755 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.755 * [backup-simplify]: Simplify (- 0) into 0
31.755 * [backup-simplify]: Simplify (+ (- (+ (* 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) 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))))
31.756 * [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
31.756 * [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
31.756 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
31.756 * [taylor]: Taking taylor expansion of 1/6 in n
31.756 * [backup-simplify]: Simplify 1/6 into 1/6
31.756 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
31.756 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.756 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.756 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.756 * [taylor]: Taking taylor expansion of (log n) in n
31.756 * [taylor]: Taking taylor expansion of n in n
31.756 * [backup-simplify]: Simplify 0 into 0
31.756 * [backup-simplify]: Simplify 1 into 1
31.756 * [backup-simplify]: Simplify (log 1) into 0
31.756 * [taylor]: Taking taylor expansion of (log i) in n
31.756 * [taylor]: Taking taylor expansion of i in n
31.756 * [backup-simplify]: Simplify i into i
31.756 * [backup-simplify]: Simplify (log i) into (log i)
31.756 * [taylor]: Taking taylor expansion of n in n
31.756 * [backup-simplify]: Simplify 0 into 0
31.756 * [backup-simplify]: Simplify 1 into 1
31.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.756 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.756 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.756 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.757 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.757 * [taylor]: Taking taylor expansion of (pow n 7) in n
31.757 * [taylor]: Taking taylor expansion of n in n
31.757 * [backup-simplify]: Simplify 0 into 0
31.757 * [backup-simplify]: Simplify 1 into 1
31.757 * [backup-simplify]: Simplify (* 1 1) into 1
31.757 * [backup-simplify]: Simplify (* 1 1) into 1
31.757 * [backup-simplify]: Simplify (* 1 1) into 1
31.757 * [backup-simplify]: Simplify (* 1 1) into 1
31.758 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.758 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
31.758 * [taylor]: Taking taylor expansion of 1/3 in n
31.758 * [backup-simplify]: Simplify 1/3 into 1/3
31.758 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
31.758 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.758 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.758 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.758 * [taylor]: Taking taylor expansion of (log n) in n
31.758 * [taylor]: Taking taylor expansion of n in n
31.758 * [backup-simplify]: Simplify 0 into 0
31.758 * [backup-simplify]: Simplify 1 into 1
31.758 * [backup-simplify]: Simplify (log 1) into 0
31.758 * [taylor]: Taking taylor expansion of (log i) in n
31.758 * [taylor]: Taking taylor expansion of i in n
31.758 * [backup-simplify]: Simplify i into i
31.758 * [backup-simplify]: Simplify (log i) into (log i)
31.758 * [taylor]: Taking taylor expansion of n in n
31.758 * [backup-simplify]: Simplify 0 into 0
31.758 * [backup-simplify]: Simplify 1 into 1
31.758 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.758 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.758 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.758 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.759 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.759 * [taylor]: Taking taylor expansion of (pow n 5) in n
31.759 * [taylor]: Taking taylor expansion of n in n
31.759 * [backup-simplify]: Simplify 0 into 0
31.759 * [backup-simplify]: Simplify 1 into 1
31.759 * [backup-simplify]: Simplify (* 1 1) into 1
31.759 * [backup-simplify]: Simplify (* 1 1) into 1
31.759 * [backup-simplify]: Simplify (* 1 1) into 1
31.759 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
31.759 * [taylor]: Taking taylor expansion of 1/2 in n
31.759 * [backup-simplify]: Simplify 1/2 into 1/2
31.759 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
31.759 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.759 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.759 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.760 * [taylor]: Taking taylor expansion of (log n) in n
31.760 * [taylor]: Taking taylor expansion of n in n
31.760 * [backup-simplify]: Simplify 0 into 0
31.760 * [backup-simplify]: Simplify 1 into 1
31.760 * [backup-simplify]: Simplify (log 1) into 0
31.760 * [taylor]: Taking taylor expansion of (log i) in n
31.760 * [taylor]: Taking taylor expansion of i in n
31.760 * [backup-simplify]: Simplify i into i
31.760 * [backup-simplify]: Simplify (log i) into (log i)
31.760 * [taylor]: Taking taylor expansion of n in n
31.760 * [backup-simplify]: Simplify 0 into 0
31.760 * [backup-simplify]: Simplify 1 into 1
31.760 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.760 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.760 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.760 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.760 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.760 * [taylor]: Taking taylor expansion of (pow n 6) in n
31.760 * [taylor]: Taking taylor expansion of n in n
31.760 * [backup-simplify]: Simplify 0 into 0
31.760 * [backup-simplify]: Simplify 1 into 1
31.761 * [backup-simplify]: Simplify (* 1 1) into 1
31.761 * [backup-simplify]: Simplify (* 1 1) into 1
31.761 * [backup-simplify]: Simplify (* 1 1) into 1
31.761 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.781 * [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
31.783 * [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
31.784 * [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
31.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
31.796 * [backup-simplify]: Simplify (+ 0 0) into 0
31.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.809 * [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
31.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
31.812 * [backup-simplify]: Simplify (- 0) into 0
31.812 * [backup-simplify]: Simplify (+ 0 0) into 0
31.812 * [backup-simplify]: Simplify 0 into 0
31.812 * [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)
31.812 * [backup-simplify]: Simplify (- (/ (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) into (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n))
31.812 * [approximate]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in (i n) around 0
31.812 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in n
31.813 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in n
31.813 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in n
31.813 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
31.813 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
31.813 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
31.813 * [taylor]: Taking taylor expansion of (/ -1 n) in n
31.813 * [taylor]: Taking taylor expansion of -1 in n
31.813 * [backup-simplify]: Simplify -1 into -1
31.813 * [taylor]: Taking taylor expansion of n in n
31.813 * [backup-simplify]: Simplify 0 into 0
31.813 * [backup-simplify]: Simplify 1 into 1
31.813 * [backup-simplify]: Simplify (/ -1 1) into -1
31.813 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
31.813 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
31.813 * [taylor]: Taking taylor expansion of (/ n i) in n
31.813 * [taylor]: Taking taylor expansion of n in n
31.813 * [backup-simplify]: Simplify 0 into 0
31.813 * [backup-simplify]: Simplify 1 into 1
31.813 * [taylor]: Taking taylor expansion of i in n
31.813 * [backup-simplify]: Simplify i into i
31.813 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
31.813 * [taylor]: Taking taylor expansion of 1 in n
31.813 * [backup-simplify]: Simplify 1 into 1
31.813 * [backup-simplify]: Simplify (+ 0 1) into 1
31.814 * [backup-simplify]: Simplify (log 1) into 0
31.814 * [backup-simplify]: Simplify (* -1 0) into 0
31.814 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
31.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
31.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
31.815 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
31.815 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
31.815 * [taylor]: Taking taylor expansion of i in n
31.815 * [backup-simplify]: Simplify i into i
31.815 * [taylor]: Taking taylor expansion of n in n
31.815 * [backup-simplify]: Simplify 0 into 0
31.815 * [backup-simplify]: Simplify 1 into 1
31.815 * [backup-simplify]: Simplify (* (exp (- (/ 1 i))) i) into (* i (exp (- (/ 1 i))))
31.815 * [backup-simplify]: Simplify (/ (* i (exp (- (/ 1 i)))) 1) into (* i (exp (- (/ 1 i))))
31.815 * [taylor]: Taking taylor expansion of (/ i n) in n
31.815 * [taylor]: Taking taylor expansion of i in n
31.815 * [backup-simplify]: Simplify i into i
31.815 * [taylor]: Taking taylor expansion of n in n
31.815 * [backup-simplify]: Simplify 0 into 0
31.815 * [backup-simplify]: Simplify 1 into 1
31.815 * [backup-simplify]: Simplify (/ i 1) into i
31.815 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in i
31.815 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i
31.815 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i
31.815 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
31.815 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
31.815 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
31.815 * [taylor]: Taking taylor expansion of (/ -1 n) in i
31.815 * [taylor]: Taking taylor expansion of -1 in i
31.816 * [backup-simplify]: Simplify -1 into -1
31.816 * [taylor]: Taking taylor expansion of n in i
31.816 * [backup-simplify]: Simplify n into n
31.816 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
31.816 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.816 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.816 * [taylor]: Taking taylor expansion of (/ n i) in i
31.816 * [taylor]: Taking taylor expansion of n in i
31.816 * [backup-simplify]: Simplify n into n
31.816 * [taylor]: Taking taylor expansion of i in i
31.816 * [backup-simplify]: Simplify 0 into 0
31.816 * [backup-simplify]: Simplify 1 into 1
31.816 * [backup-simplify]: Simplify (/ n 1) into n
31.816 * [taylor]: Taking taylor expansion of 1 in i
31.816 * [backup-simplify]: Simplify 1 into 1
31.816 * [backup-simplify]: Simplify (+ n 0) into n
31.816 * [backup-simplify]: Simplify (log n) into (log n)
31.816 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.816 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
31.816 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.816 * [taylor]: Taking taylor expansion of i in i
31.816 * [backup-simplify]: Simplify 0 into 0
31.816 * [backup-simplify]: Simplify 1 into 1
31.816 * [taylor]: Taking taylor expansion of n in i
31.816 * [backup-simplify]: Simplify n into n
31.816 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0
31.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.817 * [backup-simplify]: Simplify (+ 0 1) into 1
31.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
31.818 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
31.818 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.818 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
31.818 * [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)))
31.819 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1) (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0)) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.819 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n)
31.819 * [taylor]: Taking taylor expansion of (/ i n) in i
31.819 * [taylor]: Taking taylor expansion of i in i
31.819 * [backup-simplify]: Simplify 0 into 0
31.819 * [backup-simplify]: Simplify 1 into 1
31.819 * [taylor]: Taking taylor expansion of n in i
31.819 * [backup-simplify]: Simplify n into n
31.819 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.819 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in i
31.819 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i
31.819 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i
31.819 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
31.819 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
31.819 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
31.819 * [taylor]: Taking taylor expansion of (/ -1 n) in i
31.819 * [taylor]: Taking taylor expansion of -1 in i
31.819 * [backup-simplify]: Simplify -1 into -1
31.819 * [taylor]: Taking taylor expansion of n in i
31.819 * [backup-simplify]: Simplify n into n
31.819 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
31.819 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.819 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.819 * [taylor]: Taking taylor expansion of (/ n i) in i
31.819 * [taylor]: Taking taylor expansion of n in i
31.819 * [backup-simplify]: Simplify n into n
31.819 * [taylor]: Taking taylor expansion of i in i
31.819 * [backup-simplify]: Simplify 0 into 0
31.819 * [backup-simplify]: Simplify 1 into 1
31.819 * [backup-simplify]: Simplify (/ n 1) into n
31.819 * [taylor]: Taking taylor expansion of 1 in i
31.819 * [backup-simplify]: Simplify 1 into 1
31.819 * [backup-simplify]: Simplify (+ n 0) into n
31.819 * [backup-simplify]: Simplify (log n) into (log n)
31.819 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.820 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
31.820 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.820 * [taylor]: Taking taylor expansion of i in i
31.820 * [backup-simplify]: Simplify 0 into 0
31.820 * [backup-simplify]: Simplify 1 into 1
31.820 * [taylor]: Taking taylor expansion of n in i
31.820 * [backup-simplify]: Simplify n into n
31.820 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0
31.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.821 * [backup-simplify]: Simplify (+ 0 1) into 1
31.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
31.821 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
31.821 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.821 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
31.822 * [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)))
31.822 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1) (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0)) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.822 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n)
31.822 * [taylor]: Taking taylor expansion of (/ i n) in i
31.822 * [taylor]: Taking taylor expansion of i in i
31.822 * [backup-simplify]: Simplify 0 into 0
31.822 * [backup-simplify]: Simplify 1 into 1
31.822 * [taylor]: Taking taylor expansion of n in i
31.822 * [backup-simplify]: Simplify n into n
31.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.822 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
31.822 * [backup-simplify]: Simplify (+ (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (- (/ 1 n))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 1 n))
31.822 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 1 n)) in n
31.822 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) in n
31.822 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.822 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.822 * [taylor]: Taking taylor expansion of -1 in n
31.822 * [backup-simplify]: Simplify -1 into -1
31.822 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.822 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.822 * [taylor]: Taking taylor expansion of (log n) in n
31.822 * [taylor]: Taking taylor expansion of n in n
31.822 * [backup-simplify]: Simplify 0 into 0
31.822 * [backup-simplify]: Simplify 1 into 1
31.823 * [backup-simplify]: Simplify (log 1) into 0
31.823 * [taylor]: Taking taylor expansion of (log i) in n
31.823 * [taylor]: Taking taylor expansion of i in n
31.823 * [backup-simplify]: Simplify i into i
31.823 * [backup-simplify]: Simplify (log i) into (log i)
31.823 * [taylor]: Taking taylor expansion of n in n
31.823 * [backup-simplify]: Simplify 0 into 0
31.823 * [backup-simplify]: Simplify 1 into 1
31.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.823 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.823 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.823 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.823 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.823 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.823 * [taylor]: Taking taylor expansion of n in n
31.823 * [backup-simplify]: Simplify 0 into 0
31.823 * [backup-simplify]: Simplify 1 into 1
31.823 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.823 * [taylor]: Taking taylor expansion of n in n
31.823 * [backup-simplify]: Simplify 0 into 0
31.823 * [backup-simplify]: Simplify 1 into 1
31.824 * [backup-simplify]: Simplify (/ 1 1) into 1
31.824 * [backup-simplify]: Simplify (- 1) into -1
31.824 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
31.824 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)
31.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.825 * [backup-simplify]: Simplify (+ 0 0) into 0
31.826 * [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))
31.826 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.827 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.827 * [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)))
31.827 * [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)))))
31.827 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 1) (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
31.828 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
31.828 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
31.828 * [backup-simplify]: Simplify (- 0) into 0
31.828 * [backup-simplify]: Simplify (+ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
31.828 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
31.828 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
31.828 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.828 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.828 * [taylor]: Taking taylor expansion of -1 in n
31.828 * [backup-simplify]: Simplify -1 into -1
31.828 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.828 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.828 * [taylor]: Taking taylor expansion of (log n) in n
31.828 * [taylor]: Taking taylor expansion of n in n
31.828 * [backup-simplify]: Simplify 0 into 0
31.828 * [backup-simplify]: Simplify 1 into 1
31.828 * [backup-simplify]: Simplify (log 1) into 0
31.829 * [taylor]: Taking taylor expansion of (log i) in n
31.829 * [taylor]: Taking taylor expansion of i in n
31.829 * [backup-simplify]: Simplify i into i
31.829 * [backup-simplify]: Simplify (log i) into (log i)
31.829 * [taylor]: Taking taylor expansion of n in n
31.829 * [backup-simplify]: Simplify 0 into 0
31.829 * [backup-simplify]: Simplify 1 into 1
31.829 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.829 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.829 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.829 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.829 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.829 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.829 * [taylor]: Taking taylor expansion of (pow n 3) in n
31.829 * [taylor]: Taking taylor expansion of n in n
31.829 * [backup-simplify]: Simplify 0 into 0
31.829 * [backup-simplify]: Simplify 1 into 1
31.829 * [backup-simplify]: Simplify (* 1 1) into 1
31.830 * [backup-simplify]: Simplify (* 1 1) into 1
31.830 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.833 * [backup-simplify]: Simplify (- 0) into 0
31.833 * [backup-simplify]: Simplify 0 into 0
31.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.834 * [backup-simplify]: Simplify (- 0) into 0
31.835 * [backup-simplify]: Simplify (+ 0 0) into 0
31.835 * [backup-simplify]: Simplify 0 into 0
31.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.836 * [backup-simplify]: Simplify (+ 0 0) into 0
31.837 * [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))
31.837 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.838 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.838 * [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))))
31.838 * [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)))))))
31.839 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) (+ (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 1) (* (* -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 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
31.840 * [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))) 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))))
31.840 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.840 * [backup-simplify]: Simplify (- 0) into 0
31.840 * [backup-simplify]: Simplify (+ (+ (* 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) 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))))
31.840 * [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
31.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
31.840 * [taylor]: Taking taylor expansion of 1/2 in n
31.840 * [backup-simplify]: Simplify 1/2 into 1/2
31.840 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
31.840 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.840 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.840 * [taylor]: Taking taylor expansion of -1 in n
31.841 * [backup-simplify]: Simplify -1 into -1
31.841 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.841 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.841 * [taylor]: Taking taylor expansion of (log n) in n
31.841 * [taylor]: Taking taylor expansion of n in n
31.841 * [backup-simplify]: Simplify 0 into 0
31.841 * [backup-simplify]: Simplify 1 into 1
31.841 * [backup-simplify]: Simplify (log 1) into 0
31.841 * [taylor]: Taking taylor expansion of (log i) in n
31.841 * [taylor]: Taking taylor expansion of i in n
31.841 * [backup-simplify]: Simplify i into i
31.841 * [backup-simplify]: Simplify (log i) into (log i)
31.841 * [taylor]: Taking taylor expansion of n in n
31.841 * [backup-simplify]: Simplify 0 into 0
31.841 * [backup-simplify]: Simplify 1 into 1
31.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.841 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.841 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.841 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.841 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.841 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.842 * [taylor]: Taking taylor expansion of (pow n 5) in n
31.842 * [taylor]: Taking taylor expansion of n in n
31.842 * [backup-simplify]: Simplify 0 into 0
31.842 * [backup-simplify]: Simplify 1 into 1
31.842 * [backup-simplify]: Simplify (* 1 1) into 1
31.842 * [backup-simplify]: Simplify (* 1 1) into 1
31.842 * [backup-simplify]: Simplify (* 1 1) into 1
31.842 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
31.842 * [taylor]: Taking taylor expansion of 1/2 in n
31.842 * [backup-simplify]: Simplify 1/2 into 1/2
31.842 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
31.842 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.842 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.842 * [taylor]: Taking taylor expansion of -1 in n
31.842 * [backup-simplify]: Simplify -1 into -1
31.842 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.842 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.843 * [taylor]: Taking taylor expansion of (log n) in n
31.843 * [taylor]: Taking taylor expansion of n in n
31.843 * [backup-simplify]: Simplify 0 into 0
31.843 * [backup-simplify]: Simplify 1 into 1
31.843 * [backup-simplify]: Simplify (log 1) into 0
31.843 * [taylor]: Taking taylor expansion of (log i) in n
31.843 * [taylor]: Taking taylor expansion of i in n
31.843 * [backup-simplify]: Simplify i into i
31.843 * [backup-simplify]: Simplify (log i) into (log i)
31.843 * [taylor]: Taking taylor expansion of n in n
31.843 * [backup-simplify]: Simplify 0 into 0
31.843 * [backup-simplify]: Simplify 1 into 1
31.843 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.843 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.843 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.843 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.843 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.843 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.843 * [taylor]: Taking taylor expansion of (pow n 4) in n
31.843 * [taylor]: Taking taylor expansion of n in n
31.843 * [backup-simplify]: Simplify 0 into 0
31.843 * [backup-simplify]: Simplify 1 into 1
31.844 * [backup-simplify]: Simplify (* 1 1) into 1
31.844 * [backup-simplify]: Simplify (* 1 1) into 1
31.844 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.854 * [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
31.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
31.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
31.862 * [backup-simplify]: Simplify (+ 0 0) into 0
31.862 * [backup-simplify]: Simplify 0 into 0
31.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.864 * [backup-simplify]: Simplify (- 0) into 0
31.864 * [backup-simplify]: Simplify 0 into 0
31.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.866 * [backup-simplify]: Simplify (- 0) into 0
31.866 * [backup-simplify]: Simplify (+ 0 0) into 0
31.866 * [backup-simplify]: Simplify 0 into 0
31.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.868 * [backup-simplify]: Simplify (+ 0 0) into 0
31.870 * [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))
31.871 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.871 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.871 * [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)))
31.872 * [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)))))))
31.873 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) (+ (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) (+ (* (* -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))))))) 1) (* (* (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 (- (+ (* 1/2 (/ (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))))))
31.874 * [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))) 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))))))
31.874 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.875 * [backup-simplify]: Simplify (- 0) into 0
31.875 * [backup-simplify]: Simplify (+ (- (+ (* 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) 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))))))
31.875 * [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
31.875 * [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
31.875 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
31.875 * [taylor]: Taking taylor expansion of 1/6 in n
31.875 * [backup-simplify]: Simplify 1/6 into 1/6
31.875 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
31.875 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.875 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.875 * [taylor]: Taking taylor expansion of -1 in n
31.875 * [backup-simplify]: Simplify -1 into -1
31.875 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.875 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.875 * [taylor]: Taking taylor expansion of (log n) in n
31.875 * [taylor]: Taking taylor expansion of n in n
31.875 * [backup-simplify]: Simplify 0 into 0
31.875 * [backup-simplify]: Simplify 1 into 1
31.876 * [backup-simplify]: Simplify (log 1) into 0
31.876 * [taylor]: Taking taylor expansion of (log i) in n
31.876 * [taylor]: Taking taylor expansion of i in n
31.876 * [backup-simplify]: Simplify i into i
31.876 * [backup-simplify]: Simplify (log i) into (log i)
31.876 * [taylor]: Taking taylor expansion of n in n
31.876 * [backup-simplify]: Simplify 0 into 0
31.876 * [backup-simplify]: Simplify 1 into 1
31.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.876 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.876 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.876 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.876 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.876 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.876 * [taylor]: Taking taylor expansion of (pow n 7) in n
31.876 * [taylor]: Taking taylor expansion of n in n
31.876 * [backup-simplify]: Simplify 0 into 0
31.876 * [backup-simplify]: Simplify 1 into 1
31.877 * [backup-simplify]: Simplify (* 1 1) into 1
31.877 * [backup-simplify]: Simplify (* 1 1) into 1
31.877 * [backup-simplify]: Simplify (* 1 1) into 1
31.877 * [backup-simplify]: Simplify (* 1 1) into 1
31.877 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.877 * [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
31.877 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
31.877 * [taylor]: Taking taylor expansion of 1/3 in n
31.877 * [backup-simplify]: Simplify 1/3 into 1/3
31.877 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
31.877 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.877 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.878 * [taylor]: Taking taylor expansion of -1 in n
31.878 * [backup-simplify]: Simplify -1 into -1
31.878 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.878 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.878 * [taylor]: Taking taylor expansion of (log n) in n
31.878 * [taylor]: Taking taylor expansion of n in n
31.878 * [backup-simplify]: Simplify 0 into 0
31.878 * [backup-simplify]: Simplify 1 into 1
31.878 * [backup-simplify]: Simplify (log 1) into 0
31.878 * [taylor]: Taking taylor expansion of (log i) in n
31.878 * [taylor]: Taking taylor expansion of i in n
31.878 * [backup-simplify]: Simplify i into i
31.878 * [backup-simplify]: Simplify (log i) into (log i)
31.878 * [taylor]: Taking taylor expansion of n in n
31.878 * [backup-simplify]: Simplify 0 into 0
31.878 * [backup-simplify]: Simplify 1 into 1
31.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.878 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.878 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.878 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.878 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.878 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.878 * [taylor]: Taking taylor expansion of (pow n 5) in n
31.879 * [taylor]: Taking taylor expansion of n in n
31.879 * [backup-simplify]: Simplify 0 into 0
31.879 * [backup-simplify]: Simplify 1 into 1
31.879 * [backup-simplify]: Simplify (* 1 1) into 1
31.879 * [backup-simplify]: Simplify (* 1 1) into 1
31.879 * [backup-simplify]: Simplify (* 1 1) into 1
31.879 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
31.879 * [taylor]: Taking taylor expansion of 1/2 in n
31.879 * [backup-simplify]: Simplify 1/2 into 1/2
31.879 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
31.879 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
31.879 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
31.879 * [taylor]: Taking taylor expansion of -1 in n
31.879 * [backup-simplify]: Simplify -1 into -1
31.879 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.879 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.879 * [taylor]: Taking taylor expansion of (log n) in n
31.879 * [taylor]: Taking taylor expansion of n in n
31.880 * [backup-simplify]: Simplify 0 into 0
31.880 * [backup-simplify]: Simplify 1 into 1
31.880 * [backup-simplify]: Simplify (log 1) into 0
31.880 * [taylor]: Taking taylor expansion of (log i) in n
31.880 * [taylor]: Taking taylor expansion of i in n
31.880 * [backup-simplify]: Simplify i into i
31.880 * [backup-simplify]: Simplify (log i) into (log i)
31.880 * [taylor]: Taking taylor expansion of n in n
31.880 * [backup-simplify]: Simplify 0 into 0
31.880 * [backup-simplify]: Simplify 1 into 1
31.880 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.880 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.880 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.880 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.880 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
31.880 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.880 * [taylor]: Taking taylor expansion of (pow n 6) in n
31.880 * [taylor]: Taking taylor expansion of n in n
31.880 * [backup-simplify]: Simplify 0 into 0
31.881 * [backup-simplify]: Simplify 1 into 1
31.881 * [backup-simplify]: Simplify (* 1 1) into 1
31.881 * [backup-simplify]: Simplify (* 1 1) into 1
31.881 * [backup-simplify]: Simplify (* 1 1) into 1
31.881 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
31.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.901 * [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
31.903 * [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
31.905 * [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
31.906 * [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
31.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.916 * [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
31.917 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
31.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
31.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.930 * [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
31.931 * [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
31.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
31.933 * [backup-simplify]: Simplify (+ 0 0) into 0
31.933 * [backup-simplify]: Simplify (+ 0 0) into 0
31.933 * [backup-simplify]: Simplify (- 0) into 0
31.933 * [backup-simplify]: Simplify 0 into 0
31.934 * [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)
31.934 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
31.934 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n)
31.934 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0
31.934 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
31.934 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
31.934 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
31.934 * [taylor]: Taking taylor expansion of n in n
31.934 * [backup-simplify]: Simplify 0 into 0
31.934 * [backup-simplify]: Simplify 1 into 1
31.934 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
31.934 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
31.934 * [taylor]: Taking taylor expansion of (/ i n) in n
31.934 * [taylor]: Taking taylor expansion of i in n
31.934 * [backup-simplify]: Simplify i into i
31.934 * [taylor]: Taking taylor expansion of n in n
31.934 * [backup-simplify]: Simplify 0 into 0
31.934 * [backup-simplify]: Simplify 1 into 1
31.934 * [backup-simplify]: Simplify (/ i 1) into i
31.934 * [taylor]: Taking taylor expansion of 1 in n
31.934 * [backup-simplify]: Simplify 1 into 1
31.934 * [backup-simplify]: Simplify (+ i 0) into i
31.934 * [backup-simplify]: Simplify (log i) into (log i)
31.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
31.934 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
31.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
31.935 * [backup-simplify]: Simplify (+ 0 1) into 1
31.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
31.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
31.936 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
31.936 * [backup-simplify]: Simplify (exp 0) into 1
31.936 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
31.936 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
31.936 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
31.936 * [taylor]: Taking taylor expansion of n in i
31.936 * [backup-simplify]: Simplify n into n
31.936 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
31.936 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
31.936 * [taylor]: Taking taylor expansion of (/ i n) in i
31.936 * [taylor]: Taking taylor expansion of i in i
31.936 * [backup-simplify]: Simplify 0 into 0
31.936 * [backup-simplify]: Simplify 1 into 1
31.936 * [taylor]: Taking taylor expansion of n in i
31.936 * [backup-simplify]: Simplify n into n
31.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.936 * [taylor]: Taking taylor expansion of 1 in i
31.936 * [backup-simplify]: Simplify 1 into 1
31.937 * [backup-simplify]: Simplify (+ 0 1) into 1
31.937 * [backup-simplify]: Simplify (log 1) into 0
31.937 * [backup-simplify]: Simplify (* n 0) into 0
31.937 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
31.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
31.938 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
31.938 * [backup-simplify]: Simplify (exp 0) into 1
31.938 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
31.938 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
31.938 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
31.938 * [taylor]: Taking taylor expansion of n in i
31.938 * [backup-simplify]: Simplify n into n
31.938 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
31.938 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
31.938 * [taylor]: Taking taylor expansion of (/ i n) in i
31.938 * [taylor]: Taking taylor expansion of i in i
31.938 * [backup-simplify]: Simplify 0 into 0
31.938 * [backup-simplify]: Simplify 1 into 1
31.938 * [taylor]: Taking taylor expansion of n in i
31.938 * [backup-simplify]: Simplify n into n
31.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.938 * [taylor]: Taking taylor expansion of 1 in i
31.938 * [backup-simplify]: Simplify 1 into 1
31.938 * [backup-simplify]: Simplify (+ 0 1) into 1
31.938 * [backup-simplify]: Simplify (log 1) into 0
31.938 * [backup-simplify]: Simplify (* n 0) into 0
31.938 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
31.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
31.939 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
31.939 * [backup-simplify]: Simplify (exp 0) into 1
31.939 * [taylor]: Taking taylor expansion of 1 in n
31.939 * [backup-simplify]: Simplify 1 into 1
31.939 * [backup-simplify]: Simplify 1 into 1
31.940 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
31.940 * [taylor]: Taking taylor expansion of 1 in n
31.940 * [backup-simplify]: Simplify 1 into 1
31.940 * [backup-simplify]: Simplify 1 into 1
31.940 * [backup-simplify]: Simplify 0 into 0
31.940 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
31.940 * [backup-simplify]: Simplify (+ 0 0) into 0
31.941 * [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))
31.941 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
31.942 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
31.942 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n
31.942 * [taylor]: Taking taylor expansion of 1/2 in n
31.942 * [backup-simplify]: Simplify 1/2 into 1/2
31.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
31.942 * [taylor]: Taking taylor expansion of 1/2 in n
31.942 * [backup-simplify]: Simplify 1/2 into 1/2
31.942 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.942 * [taylor]: Taking taylor expansion of n in n
31.942 * [backup-simplify]: Simplify 0 into 0
31.942 * [backup-simplify]: Simplify 1 into 1
31.942 * [backup-simplify]: Simplify (/ 1 1) into 1
31.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
31.943 * [backup-simplify]: Simplify (- 0) into 0
31.943 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
31.944 * [backup-simplify]: Simplify 1/2 into 1/2
31.944 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1))
31.944 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n))
31.944 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0
31.944 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
31.944 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
31.944 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
31.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n
31.944 * [taylor]: Taking taylor expansion of n in n
31.944 * [backup-simplify]: Simplify 0 into 0
31.944 * [backup-simplify]: Simplify 1 into 1
31.944 * [backup-simplify]: Simplify (/ 1 1) into 1
31.944 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
31.944 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
31.944 * [taylor]: Taking taylor expansion of (/ n i) in n
31.944 * [taylor]: Taking taylor expansion of n in n
31.944 * [backup-simplify]: Simplify 0 into 0
31.944 * [backup-simplify]: Simplify 1 into 1
31.944 * [taylor]: Taking taylor expansion of i in n
31.944 * [backup-simplify]: Simplify i into i
31.944 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
31.944 * [taylor]: Taking taylor expansion of 1 in n
31.944 * [backup-simplify]: Simplify 1 into 1
31.945 * [backup-simplify]: Simplify (+ 0 1) into 1
31.945 * [backup-simplify]: Simplify (log 1) into 0
31.945 * [backup-simplify]: Simplify (* 1 0) into 0
31.945 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
31.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
31.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.946 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
31.946 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
31.946 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
31.946 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
31.946 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
31.946 * [taylor]: Taking taylor expansion of (/ 1 n) in i
31.946 * [taylor]: Taking taylor expansion of n in i
31.946 * [backup-simplify]: Simplify n into n
31.946 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.946 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.946 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.946 * [taylor]: Taking taylor expansion of (/ n i) in i
31.946 * [taylor]: Taking taylor expansion of n in i
31.946 * [backup-simplify]: Simplify n into n
31.946 * [taylor]: Taking taylor expansion of i in i
31.946 * [backup-simplify]: Simplify 0 into 0
31.946 * [backup-simplify]: Simplify 1 into 1
31.946 * [backup-simplify]: Simplify (/ n 1) into n
31.946 * [taylor]: Taking taylor expansion of 1 in i
31.946 * [backup-simplify]: Simplify 1 into 1
31.946 * [backup-simplify]: Simplify (+ n 0) into n
31.947 * [backup-simplify]: Simplify (log n) into (log n)
31.947 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.947 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
31.947 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.947 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
31.947 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
31.947 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
31.947 * [taylor]: Taking taylor expansion of (/ 1 n) in i
31.947 * [taylor]: Taking taylor expansion of n in i
31.947 * [backup-simplify]: Simplify n into n
31.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
31.947 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
31.947 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
31.947 * [taylor]: Taking taylor expansion of (/ n i) in i
31.947 * [taylor]: Taking taylor expansion of n in i
31.947 * [backup-simplify]: Simplify n into n
31.947 * [taylor]: Taking taylor expansion of i in i
31.947 * [backup-simplify]: Simplify 0 into 0
31.947 * [backup-simplify]: Simplify 1 into 1
31.947 * [backup-simplify]: Simplify (/ n 1) into n
31.947 * [taylor]: Taking taylor expansion of 1 in i
31.947 * [backup-simplify]: Simplify 1 into 1
31.947 * [backup-simplify]: Simplify (+ n 0) into n
31.947 * [backup-simplify]: Simplify (log n) into (log n)
31.948 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.948 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
31.948 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.948 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.948 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.948 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.948 * [taylor]: Taking taylor expansion of (log n) in n
31.948 * [taylor]: Taking taylor expansion of n in n
31.948 * [backup-simplify]: Simplify 0 into 0
31.948 * [backup-simplify]: Simplify 1 into 1
31.948 * [backup-simplify]: Simplify (log 1) into 0
31.948 * [taylor]: Taking taylor expansion of (log i) in n
31.948 * [taylor]: Taking taylor expansion of i in n
31.948 * [backup-simplify]: Simplify i into i
31.948 * [backup-simplify]: Simplify (log i) into (log i)
31.948 * [taylor]: Taking taylor expansion of n in n
31.948 * [backup-simplify]: Simplify 0 into 0
31.948 * [backup-simplify]: Simplify 1 into 1
31.948 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.949 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.949 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.949 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.949 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.949 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
31.950 * [backup-simplify]: Simplify (+ 0 1) into 1
31.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
31.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
31.950 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.950 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
31.951 * [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))
31.951 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n
31.951 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.951 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.951 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.951 * [taylor]: Taking taylor expansion of (log n) in n
31.951 * [taylor]: Taking taylor expansion of n in n
31.951 * [backup-simplify]: Simplify 0 into 0
31.951 * [backup-simplify]: Simplify 1 into 1
31.951 * [backup-simplify]: Simplify (log 1) into 0
31.951 * [taylor]: Taking taylor expansion of (log i) in n
31.951 * [taylor]: Taking taylor expansion of i in n
31.951 * [backup-simplify]: Simplify i into i
31.951 * [backup-simplify]: Simplify (log i) into (log i)
31.951 * [taylor]: Taking taylor expansion of n in n
31.951 * [backup-simplify]: Simplify 0 into 0
31.951 * [backup-simplify]: Simplify 1 into 1
31.951 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.951 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.951 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.951 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.951 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.951 * [taylor]: Taking taylor expansion of (pow n 2) in n
31.952 * [taylor]: Taking taylor expansion of n in n
31.952 * [backup-simplify]: Simplify 0 into 0
31.952 * [backup-simplify]: Simplify 1 into 1
31.952 * [backup-simplify]: Simplify (* 1 1) into 1
31.952 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
31.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
31.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.954 * [backup-simplify]: Simplify 0 into 0
31.954 * [backup-simplify]: Simplify 0 into 0
31.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.955 * [backup-simplify]: Simplify (+ 0 0) into 0
31.956 * [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))
31.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.956 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.957 * [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))))
31.957 * [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)))
31.957 * [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
31.957 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n
31.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
31.957 * [taylor]: Taking taylor expansion of 1/2 in n
31.957 * [backup-simplify]: Simplify 1/2 into 1/2
31.957 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
31.957 * [taylor]: Taking taylor expansion of (pow n 4) in n
31.957 * [taylor]: Taking taylor expansion of n in n
31.957 * [backup-simplify]: Simplify 0 into 0
31.957 * [backup-simplify]: Simplify 1 into 1
31.957 * [backup-simplify]: Simplify (* 1 1) into 1
31.958 * [backup-simplify]: Simplify (* 1 1) into 1
31.958 * [backup-simplify]: Simplify (/ 1 1) into 1
31.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
31.958 * [taylor]: Taking taylor expansion of 1/2 in n
31.958 * [backup-simplify]: Simplify 1/2 into 1/2
31.958 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
31.958 * [taylor]: Taking taylor expansion of (pow n 3) in n
31.958 * [taylor]: Taking taylor expansion of n in n
31.958 * [backup-simplify]: Simplify 0 into 0
31.958 * [backup-simplify]: Simplify 1 into 1
31.958 * [backup-simplify]: Simplify (* 1 1) into 1
31.958 * [backup-simplify]: Simplify (* 1 1) into 1
31.959 * [backup-simplify]: Simplify (/ 1 1) into 1
31.959 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.959 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.959 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.959 * [taylor]: Taking taylor expansion of (log n) in n
31.959 * [taylor]: Taking taylor expansion of n in n
31.959 * [backup-simplify]: Simplify 0 into 0
31.959 * [backup-simplify]: Simplify 1 into 1
31.959 * [backup-simplify]: Simplify (log 1) into 0
31.959 * [taylor]: Taking taylor expansion of (log i) in n
31.959 * [taylor]: Taking taylor expansion of i in n
31.959 * [backup-simplify]: Simplify i into i
31.959 * [backup-simplify]: Simplify (log i) into (log i)
31.959 * [taylor]: Taking taylor expansion of n in n
31.959 * [backup-simplify]: Simplify 0 into 0
31.959 * [backup-simplify]: Simplify 1 into 1
31.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.959 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.959 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.959 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.960 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.960 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
31.960 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
31.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
31.962 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
31.962 * [backup-simplify]: Simplify (- 1/2) into -1/2
31.962 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
31.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
31.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
31.966 * [backup-simplify]: Simplify (- 0) into 0
31.966 * [backup-simplify]: Simplify (+ 0 0) into 0
31.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
31.972 * [backup-simplify]: Simplify (- 0) into 0
31.972 * [backup-simplify]: Simplify (+ 0 0) into 0
31.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.977 * [backup-simplify]: Simplify (- 0) into 0
31.977 * [backup-simplify]: Simplify (+ 0 0) into 0
31.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
31.978 * [backup-simplify]: Simplify 0 into 0
31.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.980 * [backup-simplify]: Simplify 0 into 0
31.980 * [backup-simplify]: Simplify 0 into 0
31.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.981 * [backup-simplify]: Simplify (+ 0 0) into 0
31.983 * [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))
31.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
31.983 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
31.984 * [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)))
31.984 * [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)))))
31.984 * [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
31.984 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
31.984 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
31.984 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
31.984 * [taylor]: Taking taylor expansion of (log n) in n
31.984 * [taylor]: Taking taylor expansion of n in n
31.984 * [backup-simplify]: Simplify 0 into 0
31.984 * [backup-simplify]: Simplify 1 into 1
31.984 * [backup-simplify]: Simplify (log 1) into 0
31.984 * [taylor]: Taking taylor expansion of (log i) in n
31.984 * [taylor]: Taking taylor expansion of i in n
31.984 * [backup-simplify]: Simplify i into i
31.984 * [backup-simplify]: Simplify (log i) into (log i)
31.984 * [taylor]: Taking taylor expansion of n in n
31.984 * [backup-simplify]: Simplify 0 into 0
31.984 * [backup-simplify]: Simplify 1 into 1
31.985 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
31.985 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
31.985 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
31.985 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
31.985 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
31.985 * [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
31.985 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n
31.985 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
31.985 * [taylor]: Taking taylor expansion of 1/6 in n
31.985 * [backup-simplify]: Simplify 1/6 into 1/6
31.985 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
31.985 * [taylor]: Taking taylor expansion of (pow n 6) in n
31.985 * [taylor]: Taking taylor expansion of n in n
31.985 * [backup-simplify]: Simplify 0 into 0
31.985 * [backup-simplify]: Simplify 1 into 1
31.985 * [backup-simplify]: Simplify (* 1 1) into 1
31.985 * [backup-simplify]: Simplify (* 1 1) into 1
31.986 * [backup-simplify]: Simplify (* 1 1) into 1
31.986 * [backup-simplify]: Simplify (/ 1 1) into 1
31.986 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
31.986 * [taylor]: Taking taylor expansion of 1/3 in n
31.986 * [backup-simplify]: Simplify 1/3 into 1/3
31.986 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
31.986 * [taylor]: Taking taylor expansion of (pow n 4) in n
31.986 * [taylor]: Taking taylor expansion of n in n
31.986 * [backup-simplify]: Simplify 0 into 0
31.986 * [backup-simplify]: Simplify 1 into 1
31.986 * [backup-simplify]: Simplify (* 1 1) into 1
31.987 * [backup-simplify]: Simplify (* 1 1) into 1
31.987 * [backup-simplify]: Simplify (/ 1 1) into 1
31.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
31.987 * [taylor]: Taking taylor expansion of 1/2 in n
31.987 * [backup-simplify]: Simplify 1/2 into 1/2
31.987 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
31.987 * [taylor]: Taking taylor expansion of (pow n 5) in n
31.987 * [taylor]: Taking taylor expansion of n in n
31.987 * [backup-simplify]: Simplify 0 into 0
31.987 * [backup-simplify]: Simplify 1 into 1
31.987 * [backup-simplify]: Simplify (* 1 1) into 1
31.987 * [backup-simplify]: Simplify (* 1 1) into 1
31.988 * [backup-simplify]: Simplify (* 1 1) into 1
31.988 * [backup-simplify]: Simplify (/ 1 1) into 1
31.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
31.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
31.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
31.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
31.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
31.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
31.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
31.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
31.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.002 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.009 * [backup-simplify]: Simplify (+ 0 0) into 0
32.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.021 * [backup-simplify]: Simplify (- 0) into 0
32.021 * [backup-simplify]: Simplify (+ 0 0) into 0
32.022 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.023 * [backup-simplify]: Simplify (+ 0 0) into 0
32.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.024 * [backup-simplify]: Simplify (- 0) into 0
32.024 * [backup-simplify]: Simplify (+ 0 0) into 0
32.024 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
32.025 * [backup-simplify]: Simplify (+ 0 0) into 0
32.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.026 * [backup-simplify]: Simplify (- 0) into 0
32.026 * [backup-simplify]: Simplify (+ 0 0) into 0
32.027 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
32.028 * [backup-simplify]: Simplify (+ 0 0) into 0
32.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
32.028 * [backup-simplify]: Simplify (- 0) into 0
32.028 * [backup-simplify]: Simplify (+ 0 0) into 0
32.029 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
32.029 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
32.030 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
32.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
32.030 * [backup-simplify]: Simplify (- 0) into 0
32.031 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
32.031 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
32.031 * [backup-simplify]: Simplify (+ 0 0) into 0
32.031 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
32.032 * [backup-simplify]: Simplify (- 1/2) into -1/2
32.032 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
32.032 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
32.032 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
32.033 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
32.034 * [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
32.034 * [backup-simplify]: Simplify 0 into 0
32.034 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n))
32.034 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n))
32.034 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0
32.034 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
32.034 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
32.034 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
32.034 * [taylor]: Taking taylor expansion of (/ -1 n) in n
32.034 * [taylor]: Taking taylor expansion of -1 in n
32.034 * [backup-simplify]: Simplify -1 into -1
32.034 * [taylor]: Taking taylor expansion of n in n
32.034 * [backup-simplify]: Simplify 0 into 0
32.034 * [backup-simplify]: Simplify 1 into 1
32.034 * [backup-simplify]: Simplify (/ -1 1) into -1
32.034 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
32.034 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
32.034 * [taylor]: Taking taylor expansion of (/ n i) in n
32.034 * [taylor]: Taking taylor expansion of n in n
32.034 * [backup-simplify]: Simplify 0 into 0
32.034 * [backup-simplify]: Simplify 1 into 1
32.034 * [taylor]: Taking taylor expansion of i in n
32.034 * [backup-simplify]: Simplify i into i
32.035 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
32.035 * [taylor]: Taking taylor expansion of 1 in n
32.035 * [backup-simplify]: Simplify 1 into 1
32.035 * [backup-simplify]: Simplify (+ 0 1) into 1
32.035 * [backup-simplify]: Simplify (log 1) into 0
32.035 * [backup-simplify]: Simplify (* -1 0) into 0
32.035 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
32.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
32.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
32.036 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
32.037 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
32.037 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
32.037 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
32.037 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
32.037 * [taylor]: Taking taylor expansion of (/ -1 n) in i
32.037 * [taylor]: Taking taylor expansion of -1 in i
32.037 * [backup-simplify]: Simplify -1 into -1
32.037 * [taylor]: Taking taylor expansion of n in i
32.037 * [backup-simplify]: Simplify n into n
32.037 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
32.037 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.037 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.037 * [taylor]: Taking taylor expansion of (/ n i) in i
32.037 * [taylor]: Taking taylor expansion of n in i
32.037 * [backup-simplify]: Simplify n into n
32.037 * [taylor]: Taking taylor expansion of i in i
32.037 * [backup-simplify]: Simplify 0 into 0
32.037 * [backup-simplify]: Simplify 1 into 1
32.037 * [backup-simplify]: Simplify (/ n 1) into n
32.037 * [taylor]: Taking taylor expansion of 1 in i
32.037 * [backup-simplify]: Simplify 1 into 1
32.037 * [backup-simplify]: Simplify (+ n 0) into n
32.037 * [backup-simplify]: Simplify (log n) into (log n)
32.037 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.037 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
32.037 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.037 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
32.037 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
32.037 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
32.038 * [taylor]: Taking taylor expansion of (/ -1 n) in i
32.038 * [taylor]: Taking taylor expansion of -1 in i
32.038 * [backup-simplify]: Simplify -1 into -1
32.038 * [taylor]: Taking taylor expansion of n in i
32.038 * [backup-simplify]: Simplify n into n
32.038 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
32.038 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.038 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.038 * [taylor]: Taking taylor expansion of (/ n i) in i
32.038 * [taylor]: Taking taylor expansion of n in i
32.038 * [backup-simplify]: Simplify n into n
32.038 * [taylor]: Taking taylor expansion of i in i
32.038 * [backup-simplify]: Simplify 0 into 0
32.038 * [backup-simplify]: Simplify 1 into 1
32.038 * [backup-simplify]: Simplify (/ n 1) into n
32.038 * [taylor]: Taking taylor expansion of 1 in i
32.038 * [backup-simplify]: Simplify 1 into 1
32.038 * [backup-simplify]: Simplify (+ n 0) into n
32.038 * [backup-simplify]: Simplify (log n) into (log n)
32.038 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.038 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
32.038 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.038 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.038 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.038 * [taylor]: Taking taylor expansion of -1 in n
32.038 * [backup-simplify]: Simplify -1 into -1
32.038 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.038 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.039 * [taylor]: Taking taylor expansion of (log n) in n
32.039 * [taylor]: Taking taylor expansion of n in n
32.039 * [backup-simplify]: Simplify 0 into 0
32.039 * [backup-simplify]: Simplify 1 into 1
32.039 * [backup-simplify]: Simplify (log 1) into 0
32.039 * [taylor]: Taking taylor expansion of (log i) in n
32.039 * [taylor]: Taking taylor expansion of i in n
32.039 * [backup-simplify]: Simplify i into i
32.039 * [backup-simplify]: Simplify (log i) into (log i)
32.039 * [taylor]: Taking taylor expansion of n in n
32.039 * [backup-simplify]: Simplify 0 into 0
32.039 * [backup-simplify]: Simplify 1 into 1
32.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.039 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.039 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.039 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.039 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.039 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.039 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.040 * [backup-simplify]: Simplify (+ 0 1) into 1
32.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
32.041 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
32.041 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.041 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
32.041 * [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)))
32.041 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n
32.041 * [taylor]: Taking taylor expansion of -1 in n
32.041 * [backup-simplify]: Simplify -1 into -1
32.041 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n
32.041 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.041 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.041 * [taylor]: Taking taylor expansion of -1 in n
32.041 * [backup-simplify]: Simplify -1 into -1
32.041 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.041 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.041 * [taylor]: Taking taylor expansion of (log n) in n
32.042 * [taylor]: Taking taylor expansion of n in n
32.042 * [backup-simplify]: Simplify 0 into 0
32.042 * [backup-simplify]: Simplify 1 into 1
32.042 * [backup-simplify]: Simplify (log 1) into 0
32.042 * [taylor]: Taking taylor expansion of (log i) in n
32.042 * [taylor]: Taking taylor expansion of i in n
32.042 * [backup-simplify]: Simplify i into i
32.042 * [backup-simplify]: Simplify (log i) into (log i)
32.042 * [taylor]: Taking taylor expansion of n in n
32.042 * [backup-simplify]: Simplify 0 into 0
32.042 * [backup-simplify]: Simplify 1 into 1
32.042 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.042 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.042 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.042 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.042 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.042 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.042 * [taylor]: Taking taylor expansion of (pow n 2) in n
32.042 * [taylor]: Taking taylor expansion of n in n
32.042 * [backup-simplify]: Simplify 0 into 0
32.042 * [backup-simplify]: Simplify 1 into 1
32.043 * [backup-simplify]: Simplify (* 1 1) into 1
32.043 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0
32.046 * [backup-simplify]: Simplify 0 into 0
32.046 * [backup-simplify]: Simplify 0 into 0
32.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.047 * [backup-simplify]: Simplify (+ 0 0) into 0
32.049 * [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))
32.049 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.049 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.049 * [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)))
32.049 * [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)))))
32.050 * [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
32.050 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.050 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.050 * [taylor]: Taking taylor expansion of -1 in n
32.050 * [backup-simplify]: Simplify -1 into -1
32.050 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.050 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.050 * [taylor]: Taking taylor expansion of (log n) in n
32.050 * [taylor]: Taking taylor expansion of n in n
32.050 * [backup-simplify]: Simplify 0 into 0
32.050 * [backup-simplify]: Simplify 1 into 1
32.050 * [backup-simplify]: Simplify (log 1) into 0
32.050 * [taylor]: Taking taylor expansion of (log i) in n
32.050 * [taylor]: Taking taylor expansion of i in n
32.050 * [backup-simplify]: Simplify i into i
32.050 * [backup-simplify]: Simplify (log i) into (log i)
32.050 * [taylor]: Taking taylor expansion of n in n
32.050 * [backup-simplify]: Simplify 0 into 0
32.050 * [backup-simplify]: Simplify 1 into 1
32.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.050 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.050 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.050 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.050 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.051 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.051 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n
32.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n
32.051 * [taylor]: Taking taylor expansion of 1/2 in n
32.051 * [backup-simplify]: Simplify 1/2 into 1/2
32.051 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n
32.051 * [taylor]: Taking taylor expansion of (pow n 3) in n
32.051 * [taylor]: Taking taylor expansion of n in n
32.051 * [backup-simplify]: Simplify 0 into 0
32.051 * [backup-simplify]: Simplify 1 into 1
32.051 * [backup-simplify]: Simplify (* 1 1) into 1
32.051 * [backup-simplify]: Simplify (* 1 1) into 1
32.051 * [backup-simplify]: Simplify (/ 1 1) into 1
32.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n
32.051 * [taylor]: Taking taylor expansion of 1/2 in n
32.051 * [backup-simplify]: Simplify 1/2 into 1/2
32.051 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
32.051 * [taylor]: Taking taylor expansion of (pow n 4) in n
32.051 * [taylor]: Taking taylor expansion of n in n
32.051 * [backup-simplify]: Simplify 0 into 0
32.051 * [backup-simplify]: Simplify 1 into 1
32.052 * [backup-simplify]: Simplify (* 1 1) into 1
32.052 * [backup-simplify]: Simplify (* 1 1) into 1
32.052 * [backup-simplify]: Simplify (/ 1 1) into 1
32.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.064 * [backup-simplify]: Simplify (+ 0 0) into 0
32.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
32.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.065 * [backup-simplify]: Simplify (+ 0 0) into 0
32.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
32.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
32.066 * [backup-simplify]: Simplify (+ 0 0) into 0
32.067 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
32.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
32.067 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
32.068 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
32.068 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
32.068 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0
32.068 * [backup-simplify]: Simplify 0 into 0
32.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
32.071 * [backup-simplify]: Simplify 0 into 0
32.071 * [backup-simplify]: Simplify 0 into 0
32.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.072 * [backup-simplify]: Simplify (+ 0 0) into 0
32.074 * [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))
32.074 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.074 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.074 * [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))))
32.075 * [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)))))))
32.075 * [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
32.075 * [taylor]: Taking taylor expansion of -1 in n
32.075 * [backup-simplify]: Simplify -1 into -1
32.075 * [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
32.075 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.075 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.075 * [taylor]: Taking taylor expansion of -1 in n
32.075 * [backup-simplify]: Simplify -1 into -1
32.075 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.075 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.075 * [taylor]: Taking taylor expansion of (log n) in n
32.075 * [taylor]: Taking taylor expansion of n in n
32.075 * [backup-simplify]: Simplify 0 into 0
32.075 * [backup-simplify]: Simplify 1 into 1
32.075 * [backup-simplify]: Simplify (log 1) into 0
32.075 * [taylor]: Taking taylor expansion of (log i) in n
32.075 * [taylor]: Taking taylor expansion of i in n
32.075 * [backup-simplify]: Simplify i into i
32.075 * [backup-simplify]: Simplify (log i) into (log i)
32.075 * [taylor]: Taking taylor expansion of n in n
32.075 * [backup-simplify]: Simplify 0 into 0
32.075 * [backup-simplify]: Simplify 1 into 1
32.075 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.076 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.076 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.076 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.076 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.076 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.076 * [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
32.076 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n
32.076 * [taylor]: Taking taylor expansion of 1/6 in n
32.076 * [backup-simplify]: Simplify 1/6 into 1/6
32.076 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n
32.076 * [taylor]: Taking taylor expansion of (pow n 6) in n
32.076 * [taylor]: Taking taylor expansion of n in n
32.076 * [backup-simplify]: Simplify 0 into 0
32.076 * [backup-simplify]: Simplify 1 into 1
32.076 * [backup-simplify]: Simplify (* 1 1) into 1
32.076 * [backup-simplify]: Simplify (* 1 1) into 1
32.077 * [backup-simplify]: Simplify (* 1 1) into 1
32.077 * [backup-simplify]: Simplify (/ 1 1) into 1
32.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n
32.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n
32.077 * [taylor]: Taking taylor expansion of 1/2 in n
32.077 * [backup-simplify]: Simplify 1/2 into 1/2
32.077 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n
32.077 * [taylor]: Taking taylor expansion of (pow n 5) in n
32.077 * [taylor]: Taking taylor expansion of n in n
32.077 * [backup-simplify]: Simplify 0 into 0
32.077 * [backup-simplify]: Simplify 1 into 1
32.077 * [backup-simplify]: Simplify (* 1 1) into 1
32.077 * [backup-simplify]: Simplify (* 1 1) into 1
32.078 * [backup-simplify]: Simplify (* 1 1) into 1
32.078 * [backup-simplify]: Simplify (/ 1 1) into 1
32.078 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n
32.078 * [taylor]: Taking taylor expansion of 1/3 in n
32.078 * [backup-simplify]: Simplify 1/3 into 1/3
32.078 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n
32.078 * [taylor]: Taking taylor expansion of (pow n 4) in n
32.078 * [taylor]: Taking taylor expansion of n in n
32.078 * [backup-simplify]: Simplify 0 into 0
32.078 * [backup-simplify]: Simplify 1 into 1
32.078 * [backup-simplify]: Simplify (* 1 1) into 1
32.078 * [backup-simplify]: Simplify (* 1 1) into 1
32.079 * [backup-simplify]: Simplify (/ 1 1) into 1
32.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.093 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.111 * [backup-simplify]: Simplify (+ 0 0) into 0
32.112 * [backup-simplify]: Simplify (+ 0 0) into 0
32.112 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.114 * [backup-simplify]: Simplify (+ 0 0) into 0
32.114 * [backup-simplify]: Simplify (+ 0 0) into 0
32.115 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0
32.116 * [backup-simplify]: Simplify (+ 0 0) into 0
32.116 * [backup-simplify]: Simplify (+ 0 0) into 0
32.117 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
32.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
32.118 * [backup-simplify]: Simplify (+ 0 0) into 0
32.118 * [backup-simplify]: Simplify (+ 0 0) into 0
32.119 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
32.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
32.120 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
32.120 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
32.120 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
32.120 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
32.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
32.121 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
32.121 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
32.121 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
32.122 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
32.123 * [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
32.124 * [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
32.125 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0
32.126 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0
32.127 * [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))))
32.127 * [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))))
32.127 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))
32.128 * [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
32.128 * [backup-simplify]: Simplify 0 into 0
32.128 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
32.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
32.129 * [backup-simplify]: Simplify (/ 1 (/ i n)) into (/ n i)
32.129 * [approximate]: Taking taylor expansion of (/ n i) in (i n) around 0
32.129 * [taylor]: Taking taylor expansion of (/ n i) in n
32.129 * [taylor]: Taking taylor expansion of n in n
32.129 * [backup-simplify]: Simplify 0 into 0
32.129 * [backup-simplify]: Simplify 1 into 1
32.129 * [taylor]: Taking taylor expansion of i in n
32.129 * [backup-simplify]: Simplify i into i
32.129 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
32.129 * [taylor]: Taking taylor expansion of (/ n i) in i
32.129 * [taylor]: Taking taylor expansion of n in i
32.129 * [backup-simplify]: Simplify n into n
32.129 * [taylor]: Taking taylor expansion of i in i
32.129 * [backup-simplify]: Simplify 0 into 0
32.129 * [backup-simplify]: Simplify 1 into 1
32.129 * [backup-simplify]: Simplify (/ n 1) into n
32.129 * [taylor]: Taking taylor expansion of (/ n i) in i
32.129 * [taylor]: Taking taylor expansion of n in i
32.129 * [backup-simplify]: Simplify n into n
32.129 * [taylor]: Taking taylor expansion of i in i
32.129 * [backup-simplify]: Simplify 0 into 0
32.129 * [backup-simplify]: Simplify 1 into 1
32.129 * [backup-simplify]: Simplify (/ n 1) into n
32.129 * [taylor]: Taking taylor expansion of n in n
32.129 * [backup-simplify]: Simplify 0 into 0
32.129 * [backup-simplify]: Simplify 1 into 1
32.129 * [backup-simplify]: Simplify 1 into 1
32.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.130 * [taylor]: Taking taylor expansion of 0 in n
32.130 * [backup-simplify]: Simplify 0 into 0
32.130 * [backup-simplify]: Simplify 0 into 0
32.130 * [backup-simplify]: Simplify 0 into 0
32.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.131 * [taylor]: Taking taylor expansion of 0 in n
32.131 * [backup-simplify]: Simplify 0 into 0
32.131 * [backup-simplify]: Simplify 0 into 0
32.131 * [backup-simplify]: Simplify 0 into 0
32.131 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.132 * [taylor]: Taking taylor expansion of 0 in n
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify (* 1 (* n (/ 1 i))) into (/ n i)
32.132 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 i) (/ 1 n))) into (/ i n)
32.132 * [approximate]: Taking taylor expansion of (/ i n) in (i n) around 0
32.132 * [taylor]: Taking taylor expansion of (/ i n) in n
32.132 * [taylor]: Taking taylor expansion of i in n
32.132 * [backup-simplify]: Simplify i into i
32.132 * [taylor]: Taking taylor expansion of n in n
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify 1 into 1
32.132 * [backup-simplify]: Simplify (/ i 1) into i
32.132 * [taylor]: Taking taylor expansion of (/ i n) in i
32.132 * [taylor]: Taking taylor expansion of i in i
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify 1 into 1
32.132 * [taylor]: Taking taylor expansion of n in i
32.132 * [backup-simplify]: Simplify n into n
32.132 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.132 * [taylor]: Taking taylor expansion of (/ i n) in i
32.132 * [taylor]: Taking taylor expansion of i in i
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify 1 into 1
32.132 * [taylor]: Taking taylor expansion of n in i
32.132 * [backup-simplify]: Simplify n into n
32.132 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.132 * [taylor]: Taking taylor expansion of (/ 1 n) in n
32.132 * [taylor]: Taking taylor expansion of n in n
32.132 * [backup-simplify]: Simplify 0 into 0
32.132 * [backup-simplify]: Simplify 1 into 1
32.133 * [backup-simplify]: Simplify (/ 1 1) into 1
32.133 * [backup-simplify]: Simplify 1 into 1
32.133 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
32.133 * [taylor]: Taking taylor expansion of 0 in n
32.133 * [backup-simplify]: Simplify 0 into 0
32.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.133 * [backup-simplify]: Simplify 0 into 0
32.133 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.133 * [taylor]: Taking taylor expansion of 0 in n
32.133 * [backup-simplify]: Simplify 0 into 0
32.133 * [backup-simplify]: Simplify 0 into 0
32.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.134 * [backup-simplify]: Simplify 0 into 0
32.134 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.134 * [taylor]: Taking taylor expansion of 0 in n
32.134 * [backup-simplify]: Simplify 0 into 0
32.134 * [backup-simplify]: Simplify 0 into 0
32.134 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.135 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ n i)
32.135 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ i n)
32.135 * [approximate]: Taking taylor expansion of (/ i n) in (i n) around 0
32.135 * [taylor]: Taking taylor expansion of (/ i n) in n
32.135 * [taylor]: Taking taylor expansion of i in n
32.135 * [backup-simplify]: Simplify i into i
32.135 * [taylor]: Taking taylor expansion of n in n
32.135 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify 1 into 1
32.135 * [backup-simplify]: Simplify (/ i 1) into i
32.135 * [taylor]: Taking taylor expansion of (/ i n) in i
32.135 * [taylor]: Taking taylor expansion of i in i
32.135 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify 1 into 1
32.135 * [taylor]: Taking taylor expansion of n in i
32.135 * [backup-simplify]: Simplify n into n
32.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.135 * [taylor]: Taking taylor expansion of (/ i n) in i
32.135 * [taylor]: Taking taylor expansion of i in i
32.135 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify 1 into 1
32.135 * [taylor]: Taking taylor expansion of n in i
32.135 * [backup-simplify]: Simplify n into n
32.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n
32.135 * [taylor]: Taking taylor expansion of n in n
32.135 * [backup-simplify]: Simplify 0 into 0
32.135 * [backup-simplify]: Simplify 1 into 1
32.136 * [backup-simplify]: Simplify (/ 1 1) into 1
32.136 * [backup-simplify]: Simplify 1 into 1
32.136 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
32.136 * [taylor]: Taking taylor expansion of 0 in n
32.136 * [backup-simplify]: Simplify 0 into 0
32.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.136 * [backup-simplify]: Simplify 0 into 0
32.136 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.136 * [taylor]: Taking taylor expansion of 0 in n
32.136 * [backup-simplify]: Simplify 0 into 0
32.136 * [backup-simplify]: Simplify 0 into 0
32.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.137 * [backup-simplify]: Simplify 0 into 0
32.137 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.137 * [taylor]: Taking taylor expansion of 0 in n
32.137 * [backup-simplify]: Simplify 0 into 0
32.137 * [backup-simplify]: Simplify 0 into 0
32.137 * [backup-simplify]: Simplify 0 into 0
32.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.138 * [backup-simplify]: Simplify 0 into 0
32.138 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ n i)
32.138 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
32.138 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ i n)) n) (/ i n)) into (/ (* n (pow (+ (/ i n) 1) n)) i)
32.138 * [approximate]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in (i n) around 0
32.138 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in n
32.138 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in n
32.138 * [taylor]: Taking taylor expansion of n in n
32.138 * [backup-simplify]: Simplify 0 into 0
32.138 * [backup-simplify]: Simplify 1 into 1
32.138 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n
32.138 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n
32.138 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n
32.138 * [taylor]: Taking taylor expansion of n in n
32.138 * [backup-simplify]: Simplify 0 into 0
32.138 * [backup-simplify]: Simplify 1 into 1
32.138 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n
32.138 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n
32.138 * [taylor]: Taking taylor expansion of (/ i n) in n
32.138 * [taylor]: Taking taylor expansion of i in n
32.138 * [backup-simplify]: Simplify i into i
32.138 * [taylor]: Taking taylor expansion of n in n
32.138 * [backup-simplify]: Simplify 0 into 0
32.138 * [backup-simplify]: Simplify 1 into 1
32.138 * [backup-simplify]: Simplify (/ i 1) into i
32.138 * [taylor]: Taking taylor expansion of 1 in n
32.138 * [backup-simplify]: Simplify 1 into 1
32.138 * [backup-simplify]: Simplify (+ i 0) into i
32.138 * [backup-simplify]: Simplify (log i) into (log i)
32.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
32.139 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0
32.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0
32.139 * [backup-simplify]: Simplify (+ 0 1) into 1
32.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i)
32.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n))
32.140 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n))
32.140 * [backup-simplify]: Simplify (exp 0) into 1
32.140 * [taylor]: Taking taylor expansion of i in n
32.140 * [backup-simplify]: Simplify i into i
32.140 * [backup-simplify]: Simplify (* 0 1) into 0
32.140 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n))
32.141 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 1)) into 1
32.141 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
32.141 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i
32.141 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i
32.141 * [taylor]: Taking taylor expansion of n in i
32.141 * [backup-simplify]: Simplify n into n
32.141 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
32.141 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
32.141 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
32.141 * [taylor]: Taking taylor expansion of n in i
32.141 * [backup-simplify]: Simplify n into n
32.141 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
32.141 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
32.141 * [taylor]: Taking taylor expansion of (/ i n) in i
32.141 * [taylor]: Taking taylor expansion of i in i
32.141 * [backup-simplify]: Simplify 0 into 0
32.141 * [backup-simplify]: Simplify 1 into 1
32.141 * [taylor]: Taking taylor expansion of n in i
32.141 * [backup-simplify]: Simplify n into n
32.141 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.141 * [taylor]: Taking taylor expansion of 1 in i
32.141 * [backup-simplify]: Simplify 1 into 1
32.141 * [backup-simplify]: Simplify (+ 0 1) into 1
32.142 * [backup-simplify]: Simplify (log 1) into 0
32.142 * [backup-simplify]: Simplify (* n 0) into 0
32.142 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
32.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
32.142 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
32.142 * [backup-simplify]: Simplify (exp 0) into 1
32.142 * [taylor]: Taking taylor expansion of i in i
32.142 * [backup-simplify]: Simplify 0 into 0
32.142 * [backup-simplify]: Simplify 1 into 1
32.142 * [backup-simplify]: Simplify (* n 1) into n
32.142 * [backup-simplify]: Simplify (/ n 1) into n
32.142 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i
32.142 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i
32.142 * [taylor]: Taking taylor expansion of n in i
32.142 * [backup-simplify]: Simplify n into n
32.142 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i
32.142 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i
32.142 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i
32.143 * [taylor]: Taking taylor expansion of n in i
32.143 * [backup-simplify]: Simplify n into n
32.143 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i
32.143 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i
32.143 * [taylor]: Taking taylor expansion of (/ i n) in i
32.143 * [taylor]: Taking taylor expansion of i in i
32.143 * [backup-simplify]: Simplify 0 into 0
32.143 * [backup-simplify]: Simplify 1 into 1
32.143 * [taylor]: Taking taylor expansion of n in i
32.143 * [backup-simplify]: Simplify n into n
32.143 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.143 * [taylor]: Taking taylor expansion of 1 in i
32.143 * [backup-simplify]: Simplify 1 into 1
32.143 * [backup-simplify]: Simplify (+ 0 1) into 1
32.143 * [backup-simplify]: Simplify (log 1) into 0
32.143 * [backup-simplify]: Simplify (* n 0) into 0
32.143 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n)
32.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n)
32.144 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1
32.144 * [backup-simplify]: Simplify (exp 0) into 1
32.144 * [taylor]: Taking taylor expansion of i in i
32.144 * [backup-simplify]: Simplify 0 into 0
32.144 * [backup-simplify]: Simplify 1 into 1
32.144 * [backup-simplify]: Simplify (* n 1) into n
32.144 * [backup-simplify]: Simplify (/ n 1) into n
32.144 * [taylor]: Taking taylor expansion of n in n
32.144 * [backup-simplify]: Simplify 0 into 0
32.144 * [backup-simplify]: Simplify 1 into 1
32.144 * [backup-simplify]: Simplify 1 into 1
32.145 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
32.145 * [backup-simplify]: Simplify (+ (* n 1) (* 0 1)) into n
32.145 * [backup-simplify]: Simplify (- (/ n 1) (+ (* n (/ 0 1)))) into n
32.145 * [taylor]: Taking taylor expansion of n in n
32.145 * [backup-simplify]: Simplify 0 into 0
32.145 * [backup-simplify]: Simplify 1 into 1
32.145 * [backup-simplify]: Simplify 1 into 1
32.145 * [backup-simplify]: Simplify 0 into 0
32.145 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0
32.146 * [backup-simplify]: Simplify (+ 0 0) into 0
32.147 * [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))
32.147 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n)))
32.147 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n)))
32.148 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 1))) into (- (* 1/2 n) 1/2)
32.148 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)) (* n (/ 0 1)))) into (- (* 1/2 n) 1/2)
32.148 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n
32.148 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
32.148 * [taylor]: Taking taylor expansion of 1/2 in n
32.148 * [backup-simplify]: Simplify 1/2 into 1/2
32.148 * [taylor]: Taking taylor expansion of n in n
32.148 * [backup-simplify]: Simplify 0 into 0
32.148 * [backup-simplify]: Simplify 1 into 1
32.148 * [taylor]: Taking taylor expansion of 1/2 in n
32.148 * [backup-simplify]: Simplify 1/2 into 1/2
32.149 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
32.149 * [backup-simplify]: Simplify (- 0) into 0
32.149 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
32.149 * [backup-simplify]: Simplify 1/2 into 1/2
32.149 * [backup-simplify]: Simplify (+ (* 1/2 (* n i)) (+ (* 1 (* n 1)) (* 1 (* n (/ 1 i))))) into (+ (/ n i) (+ n (* 1/2 (* i n))))
32.150 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) (/ (/ 1 i) (/ 1 n))) into (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n)
32.150 * [approximate]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in (i n) around 0
32.150 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in n
32.150 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in n
32.150 * [taylor]: Taking taylor expansion of i in n
32.150 * [backup-simplify]: Simplify i into i
32.150 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n
32.150 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n
32.150 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n
32.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n
32.150 * [taylor]: Taking taylor expansion of n in n
32.150 * [backup-simplify]: Simplify 0 into 0
32.150 * [backup-simplify]: Simplify 1 into 1
32.150 * [backup-simplify]: Simplify (/ 1 1) into 1
32.150 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
32.150 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
32.150 * [taylor]: Taking taylor expansion of (/ n i) in n
32.150 * [taylor]: Taking taylor expansion of n in n
32.150 * [backup-simplify]: Simplify 0 into 0
32.150 * [backup-simplify]: Simplify 1 into 1
32.150 * [taylor]: Taking taylor expansion of i in n
32.150 * [backup-simplify]: Simplify i into i
32.150 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
32.150 * [taylor]: Taking taylor expansion of 1 in n
32.150 * [backup-simplify]: Simplify 1 into 1
32.150 * [backup-simplify]: Simplify (+ 0 1) into 1
32.151 * [backup-simplify]: Simplify (log 1) into 0
32.151 * [backup-simplify]: Simplify (* 1 0) into 0
32.151 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
32.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
32.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
32.152 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i)
32.152 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i))
32.152 * [taylor]: Taking taylor expansion of n in n
32.152 * [backup-simplify]: Simplify 0 into 0
32.152 * [backup-simplify]: Simplify 1 into 1
32.152 * [backup-simplify]: Simplify (* i (exp (/ 1 i))) into (* i (exp (/ 1 i)))
32.152 * [backup-simplify]: Simplify (/ (* i (exp (/ 1 i))) 1) into (* i (exp (/ 1 i)))
32.152 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i
32.152 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i
32.152 * [taylor]: Taking taylor expansion of i in i
32.152 * [backup-simplify]: Simplify 0 into 0
32.152 * [backup-simplify]: Simplify 1 into 1
32.152 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
32.152 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
32.152 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
32.152 * [taylor]: Taking taylor expansion of (/ 1 n) in i
32.152 * [taylor]: Taking taylor expansion of n in i
32.152 * [backup-simplify]: Simplify n into n
32.152 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.152 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.152 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.152 * [taylor]: Taking taylor expansion of (/ n i) in i
32.152 * [taylor]: Taking taylor expansion of n in i
32.152 * [backup-simplify]: Simplify n into n
32.152 * [taylor]: Taking taylor expansion of i in i
32.152 * [backup-simplify]: Simplify 0 into 0
32.152 * [backup-simplify]: Simplify 1 into 1
32.153 * [backup-simplify]: Simplify (/ n 1) into n
32.153 * [taylor]: Taking taylor expansion of 1 in i
32.153 * [backup-simplify]: Simplify 1 into 1
32.153 * [backup-simplify]: Simplify (+ n 0) into n
32.153 * [backup-simplify]: Simplify (log n) into (log n)
32.153 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.153 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
32.153 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.153 * [taylor]: Taking taylor expansion of n in i
32.153 * [backup-simplify]: Simplify n into n
32.153 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0
32.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.154 * [backup-simplify]: Simplify (+ 0 1) into 1
32.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
32.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
32.155 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.155 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
32.155 * [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))
32.155 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (exp (/ (- (log n) (log i)) n)))) into (exp (/ (- (log n) (log i)) n))
32.155 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n)
32.155 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i
32.155 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i
32.155 * [taylor]: Taking taylor expansion of i in i
32.155 * [backup-simplify]: Simplify 0 into 0
32.155 * [backup-simplify]: Simplify 1 into 1
32.155 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i
32.155 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i
32.155 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i
32.155 * [taylor]: Taking taylor expansion of (/ 1 n) in i
32.155 * [taylor]: Taking taylor expansion of n in i
32.155 * [backup-simplify]: Simplify n into n
32.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
32.155 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.155 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.155 * [taylor]: Taking taylor expansion of (/ n i) in i
32.155 * [taylor]: Taking taylor expansion of n in i
32.155 * [backup-simplify]: Simplify n into n
32.155 * [taylor]: Taking taylor expansion of i in i
32.155 * [backup-simplify]: Simplify 0 into 0
32.155 * [backup-simplify]: Simplify 1 into 1
32.155 * [backup-simplify]: Simplify (/ n 1) into n
32.155 * [taylor]: Taking taylor expansion of 1 in i
32.155 * [backup-simplify]: Simplify 1 into 1
32.156 * [backup-simplify]: Simplify (+ n 0) into n
32.156 * [backup-simplify]: Simplify (log n) into (log n)
32.156 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.156 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n)
32.156 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.156 * [taylor]: Taking taylor expansion of n in i
32.156 * [backup-simplify]: Simplify n into n
32.156 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0
32.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.157 * [backup-simplify]: Simplify (+ 0 1) into 1
32.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
32.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
32.158 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.158 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2))
32.158 * [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))
32.158 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (exp (/ (- (log n) (log i)) n)))) into (exp (/ (- (log n) (log i)) n))
32.158 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n)
32.158 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) n) in n
32.158 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.158 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.158 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.158 * [taylor]: Taking taylor expansion of (log n) in n
32.158 * [taylor]: Taking taylor expansion of n in n
32.158 * [backup-simplify]: Simplify 0 into 0
32.158 * [backup-simplify]: Simplify 1 into 1
32.158 * [backup-simplify]: Simplify (log 1) into 0
32.158 * [taylor]: Taking taylor expansion of (log i) in n
32.158 * [taylor]: Taking taylor expansion of i in n
32.159 * [backup-simplify]: Simplify i into i
32.159 * [backup-simplify]: Simplify (log i) into (log i)
32.159 * [taylor]: Taking taylor expansion of n in n
32.159 * [backup-simplify]: Simplify 0 into 0
32.159 * [backup-simplify]: Simplify 1 into 1
32.159 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.159 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.159 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.159 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.159 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.159 * [taylor]: Taking taylor expansion of n in n
32.159 * [backup-simplify]: Simplify 0 into 0
32.159 * [backup-simplify]: Simplify 1 into 1
32.159 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.159 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.160 * [backup-simplify]: Simplify (+ 0 0) into 0
32.161 * [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))
32.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.161 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.162 * [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))))
32.162 * [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)))
32.162 * [backup-simplify]: Simplify (+ (* 0 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n))))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))
32.162 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (exp (/ (- (log n) (log i)) n)) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))
32.162 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n
32.162 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.162 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.163 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.163 * [taylor]: Taking taylor expansion of (log n) in n
32.163 * [taylor]: Taking taylor expansion of n in n
32.163 * [backup-simplify]: Simplify 0 into 0
32.163 * [backup-simplify]: Simplify 1 into 1
32.163 * [backup-simplify]: Simplify (log 1) into 0
32.163 * [taylor]: Taking taylor expansion of (log i) in n
32.163 * [taylor]: Taking taylor expansion of i in n
32.163 * [backup-simplify]: Simplify i into i
32.163 * [backup-simplify]: Simplify (log i) into (log i)
32.163 * [taylor]: Taking taylor expansion of n in n
32.163 * [backup-simplify]: Simplify 0 into 0
32.163 * [backup-simplify]: Simplify 1 into 1
32.163 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.163 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.163 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.163 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.163 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.163 * [taylor]: Taking taylor expansion of (pow n 3) in n
32.163 * [taylor]: Taking taylor expansion of n in n
32.163 * [backup-simplify]: Simplify 0 into 0
32.163 * [backup-simplify]: Simplify 1 into 1
32.164 * [backup-simplify]: Simplify (* 1 1) into 1
32.164 * [backup-simplify]: Simplify (* 1 1) into 1
32.164 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.167 * [backup-simplify]: Simplify 0 into 0
32.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.168 * [backup-simplify]: Simplify 0 into 0
32.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.169 * [backup-simplify]: Simplify (+ 0 0) into 0
32.170 * [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))
32.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.171 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.171 * [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)))
32.171 * [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)))))
32.172 * [backup-simplify]: Simplify (+ (* 0 (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))))) (+ (* 1 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n)))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))
32.173 * [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)) 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))))
32.173 * [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
32.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
32.173 * [taylor]: Taking taylor expansion of 1/2 in n
32.173 * [backup-simplify]: Simplify 1/2 into 1/2
32.173 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
32.173 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.173 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.173 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.173 * [taylor]: Taking taylor expansion of (log n) in n
32.173 * [taylor]: Taking taylor expansion of n in n
32.173 * [backup-simplify]: Simplify 0 into 0
32.173 * [backup-simplify]: Simplify 1 into 1
32.173 * [backup-simplify]: Simplify (log 1) into 0
32.173 * [taylor]: Taking taylor expansion of (log i) in n
32.173 * [taylor]: Taking taylor expansion of i in n
32.173 * [backup-simplify]: Simplify i into i
32.173 * [backup-simplify]: Simplify (log i) into (log i)
32.173 * [taylor]: Taking taylor expansion of n in n
32.173 * [backup-simplify]: Simplify 0 into 0
32.173 * [backup-simplify]: Simplify 1 into 1
32.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.173 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.173 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.174 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.174 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.174 * [taylor]: Taking taylor expansion of (pow n 5) in n
32.174 * [taylor]: Taking taylor expansion of n in n
32.174 * [backup-simplify]: Simplify 0 into 0
32.174 * [backup-simplify]: Simplify 1 into 1
32.174 * [backup-simplify]: Simplify (* 1 1) into 1
32.174 * [backup-simplify]: Simplify (* 1 1) into 1
32.174 * [backup-simplify]: Simplify (* 1 1) into 1
32.174 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n
32.174 * [taylor]: Taking taylor expansion of 1/2 in n
32.174 * [backup-simplify]: Simplify 1/2 into 1/2
32.175 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n
32.175 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.175 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.175 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.175 * [taylor]: Taking taylor expansion of (log n) in n
32.175 * [taylor]: Taking taylor expansion of n in n
32.175 * [backup-simplify]: Simplify 0 into 0
32.175 * [backup-simplify]: Simplify 1 into 1
32.175 * [backup-simplify]: Simplify (log 1) into 0
32.175 * [taylor]: Taking taylor expansion of (log i) in n
32.175 * [taylor]: Taking taylor expansion of i in n
32.175 * [backup-simplify]: Simplify i into i
32.175 * [backup-simplify]: Simplify (log i) into (log i)
32.175 * [taylor]: Taking taylor expansion of n in n
32.175 * [backup-simplify]: Simplify 0 into 0
32.175 * [backup-simplify]: Simplify 1 into 1
32.175 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.175 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.175 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.175 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.175 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.175 * [taylor]: Taking taylor expansion of (pow n 4) in n
32.175 * [taylor]: Taking taylor expansion of n in n
32.175 * [backup-simplify]: Simplify 0 into 0
32.175 * [backup-simplify]: Simplify 1 into 1
32.176 * [backup-simplify]: Simplify (* 1 1) into 1
32.176 * [backup-simplify]: Simplify (* 1 1) into 1
32.176 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
32.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0
32.193 * [backup-simplify]: Simplify (- 0) into 0
32.194 * [backup-simplify]: Simplify (+ 0 0) into 0
32.194 * [backup-simplify]: Simplify 0 into 0
32.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.196 * [backup-simplify]: Simplify 0 into 0
32.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.197 * [backup-simplify]: Simplify 0 into 0
32.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.198 * [backup-simplify]: Simplify (+ 0 0) into 0
32.201 * [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))
32.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.201 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.201 * [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))))
32.202 * [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))))))
32.203 * [backup-simplify]: Simplify (+ (* 0 (* (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))))))) (+ (* 1 (* (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 (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n)))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (exp (/ (- (log n) (log i)) n))))))) 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))))
32.204 * [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)) 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))))
32.204 * [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
32.204 * [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
32.204 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n
32.204 * [taylor]: Taking taylor expansion of 1/6 in n
32.204 * [backup-simplify]: Simplify 1/6 into 1/6
32.204 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n
32.204 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.204 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.204 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.204 * [taylor]: Taking taylor expansion of (log n) in n
32.204 * [taylor]: Taking taylor expansion of n in n
32.204 * [backup-simplify]: Simplify 0 into 0
32.204 * [backup-simplify]: Simplify 1 into 1
32.204 * [backup-simplify]: Simplify (log 1) into 0
32.204 * [taylor]: Taking taylor expansion of (log i) in n
32.204 * [taylor]: Taking taylor expansion of i in n
32.204 * [backup-simplify]: Simplify i into i
32.204 * [backup-simplify]: Simplify (log i) into (log i)
32.204 * [taylor]: Taking taylor expansion of n in n
32.204 * [backup-simplify]: Simplify 0 into 0
32.204 * [backup-simplify]: Simplify 1 into 1
32.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.205 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.205 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.205 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.205 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.205 * [taylor]: Taking taylor expansion of (pow n 7) in n
32.205 * [taylor]: Taking taylor expansion of n in n
32.205 * [backup-simplify]: Simplify 0 into 0
32.205 * [backup-simplify]: Simplify 1 into 1
32.206 * [backup-simplify]: Simplify (* 1 1) into 1
32.207 * [backup-simplify]: Simplify (* 1 1) into 1
32.207 * [backup-simplify]: Simplify (* 1 1) into 1
32.207 * [backup-simplify]: Simplify (* 1 1) into 1
32.207 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.207 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n
32.207 * [taylor]: Taking taylor expansion of 1/3 in n
32.207 * [backup-simplify]: Simplify 1/3 into 1/3
32.207 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n
32.207 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.207 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.207 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.207 * [taylor]: Taking taylor expansion of (log n) in n
32.207 * [taylor]: Taking taylor expansion of n in n
32.207 * [backup-simplify]: Simplify 0 into 0
32.207 * [backup-simplify]: Simplify 1 into 1
32.208 * [backup-simplify]: Simplify (log 1) into 0
32.208 * [taylor]: Taking taylor expansion of (log i) in n
32.208 * [taylor]: Taking taylor expansion of i in n
32.208 * [backup-simplify]: Simplify i into i
32.208 * [backup-simplify]: Simplify (log i) into (log i)
32.208 * [taylor]: Taking taylor expansion of n in n
32.208 * [backup-simplify]: Simplify 0 into 0
32.208 * [backup-simplify]: Simplify 1 into 1
32.208 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.208 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.208 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.208 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.208 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.208 * [taylor]: Taking taylor expansion of (pow n 5) in n
32.208 * [taylor]: Taking taylor expansion of n in n
32.208 * [backup-simplify]: Simplify 0 into 0
32.208 * [backup-simplify]: Simplify 1 into 1
32.208 * [backup-simplify]: Simplify (* 1 1) into 1
32.209 * [backup-simplify]: Simplify (* 1 1) into 1
32.209 * [backup-simplify]: Simplify (* 1 1) into 1
32.209 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n
32.209 * [taylor]: Taking taylor expansion of 1/2 in n
32.209 * [backup-simplify]: Simplify 1/2 into 1/2
32.209 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n
32.209 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n
32.209 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.209 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.209 * [taylor]: Taking taylor expansion of (log n) in n
32.209 * [taylor]: Taking taylor expansion of n in n
32.209 * [backup-simplify]: Simplify 0 into 0
32.209 * [backup-simplify]: Simplify 1 into 1
32.209 * [backup-simplify]: Simplify (log 1) into 0
32.209 * [taylor]: Taking taylor expansion of (log i) in n
32.209 * [taylor]: Taking taylor expansion of i in n
32.209 * [backup-simplify]: Simplify i into i
32.209 * [backup-simplify]: Simplify (log i) into (log i)
32.210 * [taylor]: Taking taylor expansion of n in n
32.210 * [backup-simplify]: Simplify 0 into 0
32.210 * [backup-simplify]: Simplify 1 into 1
32.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.210 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.210 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.210 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.210 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n))
32.210 * [taylor]: Taking taylor expansion of (pow n 6) in n
32.210 * [taylor]: Taking taylor expansion of n in n
32.210 * [backup-simplify]: Simplify 0 into 0
32.210 * [backup-simplify]: Simplify 1 into 1
32.210 * [backup-simplify]: Simplify (* 1 1) into 1
32.210 * [backup-simplify]: Simplify (* 1 1) into 1
32.211 * [backup-simplify]: Simplify (* 1 1) into 1
32.211 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n))
32.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.230 * [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
32.233 * [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
32.234 * [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
32.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0
32.245 * [backup-simplify]: Simplify (+ 0 0) into 0
32.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0
32.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.259 * [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
32.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0
32.260 * [backup-simplify]: Simplify (- 0) into 0
32.260 * [backup-simplify]: Simplify (+ 0 0) into 0
32.260 * [backup-simplify]: Simplify 0 into 0
32.260 * [backup-simplify]: Simplify (* (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) n) i)
32.261 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n)
32.261 * [approximate]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in (i n) around 0
32.261 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in n
32.261 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in n
32.261 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n
32.261 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n
32.261 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n
32.261 * [taylor]: Taking taylor expansion of (/ -1 n) in n
32.261 * [taylor]: Taking taylor expansion of -1 in n
32.261 * [backup-simplify]: Simplify -1 into -1
32.261 * [taylor]: Taking taylor expansion of n in n
32.261 * [backup-simplify]: Simplify 0 into 0
32.261 * [backup-simplify]: Simplify 1 into 1
32.261 * [backup-simplify]: Simplify (/ -1 1) into -1
32.261 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n
32.261 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n
32.261 * [taylor]: Taking taylor expansion of (/ n i) in n
32.261 * [taylor]: Taking taylor expansion of n in n
32.261 * [backup-simplify]: Simplify 0 into 0
32.261 * [backup-simplify]: Simplify 1 into 1
32.261 * [taylor]: Taking taylor expansion of i in n
32.261 * [backup-simplify]: Simplify i into i
32.261 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
32.261 * [taylor]: Taking taylor expansion of 1 in n
32.261 * [backup-simplify]: Simplify 1 into 1
32.261 * [backup-simplify]: Simplify (+ 0 1) into 1
32.262 * [backup-simplify]: Simplify (log 1) into 0
32.262 * [backup-simplify]: Simplify (* -1 0) into 0
32.262 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i)
32.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i)
32.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
32.263 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i))
32.263 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i)))
32.263 * [taylor]: Taking taylor expansion of i in n
32.263 * [backup-simplify]: Simplify i into i
32.263 * [taylor]: Taking taylor expansion of n in n
32.263 * [backup-simplify]: Simplify 0 into 0
32.263 * [backup-simplify]: Simplify 1 into 1
32.263 * [backup-simplify]: Simplify (* (exp (- (/ 1 i))) i) into (* i (exp (- (/ 1 i))))
32.263 * [backup-simplify]: Simplify (/ (* i (exp (- (/ 1 i)))) 1) into (* i (exp (- (/ 1 i))))
32.263 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i
32.263 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i
32.263 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
32.263 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
32.263 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
32.263 * [taylor]: Taking taylor expansion of (/ -1 n) in i
32.263 * [taylor]: Taking taylor expansion of -1 in i
32.263 * [backup-simplify]: Simplify -1 into -1
32.263 * [taylor]: Taking taylor expansion of n in i
32.263 * [backup-simplify]: Simplify n into n
32.263 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
32.263 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.264 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.264 * [taylor]: Taking taylor expansion of (/ n i) in i
32.264 * [taylor]: Taking taylor expansion of n in i
32.264 * [backup-simplify]: Simplify n into n
32.264 * [taylor]: Taking taylor expansion of i in i
32.264 * [backup-simplify]: Simplify 0 into 0
32.264 * [backup-simplify]: Simplify 1 into 1
32.264 * [backup-simplify]: Simplify (/ n 1) into n
32.264 * [taylor]: Taking taylor expansion of 1 in i
32.264 * [backup-simplify]: Simplify 1 into 1
32.264 * [backup-simplify]: Simplify (+ n 0) into n
32.264 * [backup-simplify]: Simplify (log n) into (log n)
32.264 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.264 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
32.264 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.264 * [taylor]: Taking taylor expansion of i in i
32.264 * [backup-simplify]: Simplify 0 into 0
32.264 * [backup-simplify]: Simplify 1 into 1
32.264 * [taylor]: Taking taylor expansion of n in i
32.264 * [backup-simplify]: Simplify n into n
32.264 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0
32.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.265 * [backup-simplify]: Simplify (+ 0 1) into 1
32.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
32.266 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
32.266 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.266 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
32.266 * [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)))
32.266 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1) (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0)) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.266 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n)
32.266 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i
32.266 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i
32.266 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i
32.266 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i
32.266 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i
32.267 * [taylor]: Taking taylor expansion of (/ -1 n) in i
32.267 * [taylor]: Taking taylor expansion of -1 in i
32.267 * [backup-simplify]: Simplify -1 into -1
32.267 * [taylor]: Taking taylor expansion of n in i
32.267 * [backup-simplify]: Simplify n into n
32.267 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
32.267 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i
32.267 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i
32.267 * [taylor]: Taking taylor expansion of (/ n i) in i
32.267 * [taylor]: Taking taylor expansion of n in i
32.267 * [backup-simplify]: Simplify n into n
32.267 * [taylor]: Taking taylor expansion of i in i
32.267 * [backup-simplify]: Simplify 0 into 0
32.267 * [backup-simplify]: Simplify 1 into 1
32.267 * [backup-simplify]: Simplify (/ n 1) into n
32.267 * [taylor]: Taking taylor expansion of 1 in i
32.267 * [backup-simplify]: Simplify 1 into 1
32.267 * [backup-simplify]: Simplify (+ n 0) into n
32.267 * [backup-simplify]: Simplify (log n) into (log n)
32.267 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.267 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n))
32.267 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.267 * [taylor]: Taking taylor expansion of i in i
32.267 * [backup-simplify]: Simplify 0 into 0
32.267 * [backup-simplify]: Simplify 1 into 1
32.267 * [taylor]: Taking taylor expansion of n in i
32.267 * [backup-simplify]: Simplify n into n
32.267 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0
32.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0
32.268 * [backup-simplify]: Simplify (+ 0 1) into 1
32.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n)
32.269 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
32.269 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.269 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2)))
32.269 * [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)))
32.269 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1) (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0)) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.270 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n)
32.270 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) in n
32.270 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.270 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.270 * [taylor]: Taking taylor expansion of -1 in n
32.270 * [backup-simplify]: Simplify -1 into -1
32.270 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.270 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.270 * [taylor]: Taking taylor expansion of (log n) in n
32.270 * [taylor]: Taking taylor expansion of n in n
32.270 * [backup-simplify]: Simplify 0 into 0
32.270 * [backup-simplify]: Simplify 1 into 1
32.270 * [backup-simplify]: Simplify (log 1) into 0
32.270 * [taylor]: Taking taylor expansion of (log i) in n
32.270 * [taylor]: Taking taylor expansion of i in n
32.270 * [backup-simplify]: Simplify i into i
32.270 * [backup-simplify]: Simplify (log i) into (log i)
32.270 * [taylor]: Taking taylor expansion of n in n
32.270 * [backup-simplify]: Simplify 0 into 0
32.270 * [backup-simplify]: Simplify 1 into 1
32.270 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.270 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.270 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.270 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.271 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.271 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.271 * [taylor]: Taking taylor expansion of n in n
32.271 * [backup-simplify]: Simplify 0 into 0
32.271 * [backup-simplify]: Simplify 1 into 1
32.271 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.271 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.272 * [backup-simplify]: Simplify (+ 0 0) into 0
32.273 * [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))
32.273 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.273 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.273 * [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)))
32.274 * [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)))))
32.274 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 1) (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))
32.274 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))
32.274 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n
32.274 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n
32.274 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.274 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.274 * [taylor]: Taking taylor expansion of -1 in n
32.274 * [backup-simplify]: Simplify -1 into -1
32.274 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.274 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.274 * [taylor]: Taking taylor expansion of (log n) in n
32.274 * [taylor]: Taking taylor expansion of n in n
32.274 * [backup-simplify]: Simplify 0 into 0
32.274 * [backup-simplify]: Simplify 1 into 1
32.275 * [backup-simplify]: Simplify (log 1) into 0
32.275 * [taylor]: Taking taylor expansion of (log i) in n
32.275 * [taylor]: Taking taylor expansion of i in n
32.275 * [backup-simplify]: Simplify i into i
32.275 * [backup-simplify]: Simplify (log i) into (log i)
32.275 * [taylor]: Taking taylor expansion of n in n
32.275 * [backup-simplify]: Simplify 0 into 0
32.275 * [backup-simplify]: Simplify 1 into 1
32.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.275 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.275 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.275 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.275 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.275 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.275 * [taylor]: Taking taylor expansion of (pow n 3) in n
32.275 * [taylor]: Taking taylor expansion of n in n
32.275 * [backup-simplify]: Simplify 0 into 0
32.275 * [backup-simplify]: Simplify 1 into 1
32.276 * [backup-simplify]: Simplify (* 1 1) into 1
32.276 * [backup-simplify]: Simplify (* 1 1) into 1
32.276 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.279 * [backup-simplify]: Simplify (- 0) into 0
32.279 * [backup-simplify]: Simplify 0 into 0
32.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.280 * [backup-simplify]: Simplify 0 into 0
32.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.283 * [backup-simplify]: Simplify (+ 0 0) into 0
32.284 * [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))
32.284 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.285 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.285 * [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))))
32.285 * [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)))))))
32.286 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) (+ (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 1) (* (* -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 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))
32.287 * [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))) 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))))
32.287 * [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
32.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
32.287 * [taylor]: Taking taylor expansion of 1/2 in n
32.287 * [backup-simplify]: Simplify 1/2 into 1/2
32.287 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
32.287 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.287 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.287 * [taylor]: Taking taylor expansion of -1 in n
32.287 * [backup-simplify]: Simplify -1 into -1
32.287 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.287 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.287 * [taylor]: Taking taylor expansion of (log n) in n
32.287 * [taylor]: Taking taylor expansion of n in n
32.287 * [backup-simplify]: Simplify 0 into 0
32.287 * [backup-simplify]: Simplify 1 into 1
32.287 * [backup-simplify]: Simplify (log 1) into 0
32.287 * [taylor]: Taking taylor expansion of (log i) in n
32.287 * [taylor]: Taking taylor expansion of i in n
32.287 * [backup-simplify]: Simplify i into i
32.287 * [backup-simplify]: Simplify (log i) into (log i)
32.287 * [taylor]: Taking taylor expansion of n in n
32.287 * [backup-simplify]: Simplify 0 into 0
32.287 * [backup-simplify]: Simplify 1 into 1
32.287 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.287 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.288 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.288 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.288 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.288 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.288 * [taylor]: Taking taylor expansion of (pow n 5) in n
32.288 * [taylor]: Taking taylor expansion of n in n
32.288 * [backup-simplify]: Simplify 0 into 0
32.288 * [backup-simplify]: Simplify 1 into 1
32.288 * [backup-simplify]: Simplify (* 1 1) into 1
32.288 * [backup-simplify]: Simplify (* 1 1) into 1
32.288 * [backup-simplify]: Simplify (* 1 1) into 1
32.289 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n
32.289 * [taylor]: Taking taylor expansion of 1/2 in n
32.289 * [backup-simplify]: Simplify 1/2 into 1/2
32.289 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n
32.289 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.289 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.289 * [taylor]: Taking taylor expansion of -1 in n
32.289 * [backup-simplify]: Simplify -1 into -1
32.289 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.289 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.289 * [taylor]: Taking taylor expansion of (log n) in n
32.289 * [taylor]: Taking taylor expansion of n in n
32.289 * [backup-simplify]: Simplify 0 into 0
32.289 * [backup-simplify]: Simplify 1 into 1
32.289 * [backup-simplify]: Simplify (log 1) into 0
32.289 * [taylor]: Taking taylor expansion of (log i) in n
32.289 * [taylor]: Taking taylor expansion of i in n
32.289 * [backup-simplify]: Simplify i into i
32.289 * [backup-simplify]: Simplify (log i) into (log i)
32.289 * [taylor]: Taking taylor expansion of n in n
32.289 * [backup-simplify]: Simplify 0 into 0
32.289 * [backup-simplify]: Simplify 1 into 1
32.289 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.289 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.289 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.290 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.290 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.290 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.290 * [taylor]: Taking taylor expansion of (pow n 4) in n
32.290 * [taylor]: Taking taylor expansion of n in n
32.290 * [backup-simplify]: Simplify 0 into 0
32.290 * [backup-simplify]: Simplify 1 into 1
32.290 * [backup-simplify]: Simplify (* 1 1) into 1
32.290 * [backup-simplify]: Simplify (* 1 1) into 1
32.290 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.300 * [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
32.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
32.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0
32.308 * [backup-simplify]: Simplify (+ 0 0) into 0
32.308 * [backup-simplify]: Simplify 0 into 0
32.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.310 * [backup-simplify]: Simplify (- 0) into 0
32.310 * [backup-simplify]: Simplify 0 into 0
32.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.311 * [backup-simplify]: Simplify 0 into 0
32.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.313 * [backup-simplify]: Simplify (+ 0 0) into 0
32.315 * [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))
32.315 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
32.316 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i))
32.316 * [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)))
32.316 * [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)))))))
32.318 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) (+ (* (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) (+ (* (* -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))))))) 1) (* (* (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 (- (+ (* 1/2 (/ (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))))))
32.319 * [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))) 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))))))
32.319 * [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
32.319 * [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
32.319 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n
32.319 * [taylor]: Taking taylor expansion of 1/6 in n
32.319 * [backup-simplify]: Simplify 1/6 into 1/6
32.319 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n
32.319 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.319 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.319 * [taylor]: Taking taylor expansion of -1 in n
32.319 * [backup-simplify]: Simplify -1 into -1
32.319 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.319 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.319 * [taylor]: Taking taylor expansion of (log n) in n
32.319 * [taylor]: Taking taylor expansion of n in n
32.319 * [backup-simplify]: Simplify 0 into 0
32.319 * [backup-simplify]: Simplify 1 into 1
32.319 * [backup-simplify]: Simplify (log 1) into 0
32.319 * [taylor]: Taking taylor expansion of (log i) in n
32.319 * [taylor]: Taking taylor expansion of i in n
32.319 * [backup-simplify]: Simplify i into i
32.319 * [backup-simplify]: Simplify (log i) into (log i)
32.319 * [taylor]: Taking taylor expansion of n in n
32.320 * [backup-simplify]: Simplify 0 into 0
32.320 * [backup-simplify]: Simplify 1 into 1
32.320 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.320 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.320 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.320 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.320 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.320 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.320 * [taylor]: Taking taylor expansion of (pow n 7) in n
32.320 * [taylor]: Taking taylor expansion of n in n
32.320 * [backup-simplify]: Simplify 0 into 0
32.320 * [backup-simplify]: Simplify 1 into 1
32.320 * [backup-simplify]: Simplify (* 1 1) into 1
32.321 * [backup-simplify]: Simplify (* 1 1) into 1
32.321 * [backup-simplify]: Simplify (* 1 1) into 1
32.321 * [backup-simplify]: Simplify (* 1 1) into 1
32.321 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.321 * [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
32.321 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n
32.321 * [taylor]: Taking taylor expansion of 1/3 in n
32.321 * [backup-simplify]: Simplify 1/3 into 1/3
32.321 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n
32.321 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.321 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.321 * [taylor]: Taking taylor expansion of -1 in n
32.321 * [backup-simplify]: Simplify -1 into -1
32.321 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.321 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.321 * [taylor]: Taking taylor expansion of (log n) in n
32.321 * [taylor]: Taking taylor expansion of n in n
32.321 * [backup-simplify]: Simplify 0 into 0
32.321 * [backup-simplify]: Simplify 1 into 1
32.322 * [backup-simplify]: Simplify (log 1) into 0
32.322 * [taylor]: Taking taylor expansion of (log i) in n
32.322 * [taylor]: Taking taylor expansion of i in n
32.322 * [backup-simplify]: Simplify i into i
32.322 * [backup-simplify]: Simplify (log i) into (log i)
32.322 * [taylor]: Taking taylor expansion of n in n
32.322 * [backup-simplify]: Simplify 0 into 0
32.322 * [backup-simplify]: Simplify 1 into 1
32.322 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.322 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.322 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.322 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.322 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.322 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.322 * [taylor]: Taking taylor expansion of (pow n 5) in n
32.322 * [taylor]: Taking taylor expansion of n in n
32.322 * [backup-simplify]: Simplify 0 into 0
32.322 * [backup-simplify]: Simplify 1 into 1
32.323 * [backup-simplify]: Simplify (* 1 1) into 1
32.323 * [backup-simplify]: Simplify (* 1 1) into 1
32.323 * [backup-simplify]: Simplify (* 1 1) into 1
32.323 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n
32.323 * [taylor]: Taking taylor expansion of 1/2 in n
32.323 * [backup-simplify]: Simplify 1/2 into 1/2
32.323 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n
32.323 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n
32.323 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n
32.323 * [taylor]: Taking taylor expansion of -1 in n
32.323 * [backup-simplify]: Simplify -1 into -1
32.323 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n
32.323 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n
32.323 * [taylor]: Taking taylor expansion of (log n) in n
32.323 * [taylor]: Taking taylor expansion of n in n
32.323 * [backup-simplify]: Simplify 0 into 0
32.323 * [backup-simplify]: Simplify 1 into 1
32.323 * [backup-simplify]: Simplify (log 1) into 0
32.324 * [taylor]: Taking taylor expansion of (log i) in n
32.324 * [taylor]: Taking taylor expansion of i in n
32.324 * [backup-simplify]: Simplify i into i
32.324 * [backup-simplify]: Simplify (log i) into (log i)
32.324 * [taylor]: Taking taylor expansion of n in n
32.324 * [backup-simplify]: Simplify 0 into 0
32.324 * [backup-simplify]: Simplify 1 into 1
32.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
32.324 * [backup-simplify]: Simplify (- (log i)) into (- (log i))
32.324 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i))
32.324 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i))
32.324 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i)))
32.324 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.324 * [taylor]: Taking taylor expansion of (pow n 6) in n
32.324 * [taylor]: Taking taylor expansion of n in n
32.324 * [backup-simplify]: Simplify 0 into 0
32.324 * [backup-simplify]: Simplify 1 into 1
32.324 * [backup-simplify]: Simplify (* 1 1) into 1
32.325 * [backup-simplify]: Simplify (* 1 1) into 1
32.325 * [backup-simplify]: Simplify (* 1 1) into 1
32.325 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n)))
32.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
32.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.344 * [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
32.345 * [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
32.347 * [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
32.349 * [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
32.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.360 * [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
32.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0
32.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
32.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
32.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0
32.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
32.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
32.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
32.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
32.373 * [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
32.375 * [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
32.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0
32.376 * [backup-simplify]: Simplify (+ 0 0) into 0
32.376 * [backup-simplify]: Simplify (+ 0 0) into 0
32.376 * [backup-simplify]: Simplify (- 0) into 0
32.376 * [backup-simplify]: Simplify 0 into 0
32.377 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) n) i)
32.377 * * * [progress]: simplifying candidates
32.377 * * * * [progress]: [ 1 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (/ (exp (/ (pow (+ 1 (/ i n)) n) (/ i n))) (exp (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 2 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) 1)))>
32.377 * * * * [progress]: [ 3 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 4 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 5 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (* (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))) (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))) (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 6 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (* (* (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))) (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 7 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (sqrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))) (sqrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 8 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))>
32.377 * * * * [progress]: [ 9 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (/ i n)) (* (/ i n) 1)) (* (/ i n) (/ i n)))))>
32.377 * * * * [progress]: [ 10 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (pow (/ (pow (+ 1 (/ i n)) n) (/ i n)) 3) (pow (/ 1 (/ i n)) 3)) (+ (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (+ (* (/ 1 (/ i n)) (/ 1 (/ i n))) (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))))))>
32.377 * * * * [progress]: [ 11 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (/ (pow (+ 1 (/ i n)) n) (/ i n)) (- (/ 1 (/ i n))))))>
32.377 * * * * [progress]: [ 12 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* 1 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))))>
32.377 * * * * [progress]: [ 13 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (* (/ 1 (/ i n)) (/ 1 (/ i n)))) (+ (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))))>
32.377 * * * * [progress]: [ 14 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ 1 (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ 1 (/ i n)))))))>
32.377 * * * * [progress]: [ 15 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))))))>
32.377 * * * * [progress]: [ 16 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))))))>
32.377 * * * * [progress]: [ 17 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))>
32.377 * * * * [progress]: [ 18 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))))))>
32.377 * * * * [progress]: [ 19 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (sqrt (/ 1 (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (sqrt (/ 1 (/ i n)))))))>
32.378 * * * * [progress]: [ 20 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 21 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 22 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 23 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 24 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (sqrt (/ 1 (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (sqrt (/ 1 (/ i n)))))))>
32.378 * * * * [progress]: [ 25 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 26 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 27 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 28 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n)))) (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 29 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (sqrt (/ 1 (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (sqrt (/ 1 (/ i n)))))))>
32.378 * * * * [progress]: [ 30 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 31 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 32 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 33 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 34 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (sqrt (/ 1 (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (sqrt (/ 1 (/ i n)))))))>
32.378 * * * * [progress]: [ 35 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 36 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n)))))))>
32.378 * * * * [progress]: [ 37 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n)))))))>
32.378 * * * * [progress]: [ 38 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n)))) (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n)))))))>
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32.387 * * * * [progress]: [ 239 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (/ (sqrt i) 1)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 240 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (/ 1 (* (cbrt n) (cbrt n)))) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 241 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (/ 1 (sqrt n))) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i (sqrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 242 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (/ 1 1)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 243 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) 1) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 244 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) i) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ 1 n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 245 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (cbrt (/ i n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 246 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 247 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 248 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 249 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 250 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 251 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 252 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) 1)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 253 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 254 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 (sqrt n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (sqrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 255 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 1)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 256 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 257 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (sqrt (pow (+ 1 (/ i n)) n)) i) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 n))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 258 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 259 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (sqrt (/ i n))) (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 260 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 261 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.387 * * * * [progress]: [ 262 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (* (cbrt i) (cbrt i)) 1)) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 263 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 264 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (sqrt i) (sqrt n))) (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 265 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ (sqrt i) 1)) (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 266 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ 1 (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 267 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ 1 (sqrt n))) (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 268 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 (/ 1 1)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 269 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 1) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 270 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ 1 i) (/ (pow (+ 1 (/ i n)) n) (/ 1 n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 271 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (cbrt (/ i n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 272 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 273 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 274 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 275 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) 1)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 276 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (cbrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 277 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (sqrt n))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (sqrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 278 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) 1)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 279 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 (* (cbrt n) (cbrt n)))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i (cbrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 280 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 (sqrt n))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i (sqrt n)))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 281 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 1)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 282 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) 1) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 283 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) (/ n 2)) i) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 284 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* 1 (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 285 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (pow (+ 1 (/ i n)) n) (/ 1 (/ i n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 286 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ 1 (/ (/ i n) (pow (+ 1 (/ i n)) n))) (/ 1 (/ i n)))))>
32.388 * * * * [progress]: [ 287 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 288 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n))) (sqrt (/ i n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 289 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n)))) (/ (cbrt i) (cbrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 290 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (cbrt i) (sqrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 291 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) 1)) (/ (cbrt i) n)) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 292 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (sqrt i) (cbrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 293 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n))) (/ (sqrt i) (sqrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 294 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) 1)) (/ (sqrt i) n)) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 295 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ 1 (* (cbrt n) (cbrt n)))) (/ i (cbrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 296 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ 1 (sqrt n))) (/ i (sqrt n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 297 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (/ 1 1)) (/ i n)) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 298 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 299 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) i) (/ 1 n)) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 300 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (/ (/ i n) (pow (cbrt (+ 1 (/ i n))) n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 301 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (/ i n) (pow (sqrt (+ 1 (/ i n))) n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 302 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow 1 n) (/ (/ i n) (pow (+ 1 (/ i n)) n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 303 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow 1 n) (/ (/ i n) (pow (+ 1 (/ i n)) n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 304 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (/ (/ i n) (cbrt (pow (+ 1 (/ i n)) n)))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 305 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (/ i n) (sqrt (pow (+ 1 (/ i n)) n)))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 306 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ 1 (/ (/ i n) (pow (+ 1 (/ i n)) n))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 307 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (/ i n) (pow (+ 1 (/ i n)) (/ n 2)))) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 308 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (* (/ (pow (+ 1 (/ i n)) n) i) n) (/ 1 (/ i n)))))>
32.389 * * * * [progress]: [ 309 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))>
32.389 * * * * [progress]: [ 310 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)))>
32.390 * * * * [progress]: [ 311 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)))>
32.390 * * * * [progress]: [ 312 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (+ i (+ (* 1/2 (pow i 2)) 1)) (/ i n)) (/ 1 (/ i n)))))>
32.390 * * * * [progress]: [ 313 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) (/ i n)) (/ 1 (/ i n)))))>
32.390 * * * * [progress]: [ 314 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ i n)) (/ 1 (/ i n)))))>
32.390 * * * * [progress]: [ 315 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))>
32.390 * * * * [progress]: [ 316 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))>
32.390 * * * * [progress]: [ 317 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))>
32.390 * * * * [progress]: [ 318 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (+ (/ n i) (+ n (* 1/2 (* i n)))) (/ 1 (/ i n)))))>
32.390 * * * * [progress]: [ 319 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (* (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) n) i) (/ 1 (/ i n)))))>
32.390 * * * * [progress]: [ 320 / 320 ] simplifiying candidate #<alt (λ (i n) (* 100 (- (/ (* (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) n) i) (/ 1 (/ i n)))))>
32.393 * [simplify]: Simplifying:
  (/ (exp (/ (pow (+ 1 (/ i n)) n) (/ i n))) (exp (/ 1 (/ i n))))
  (log (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (exp (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (* (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))) (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))
  (cbrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (* (* (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))) (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (sqrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (sqrt (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))))
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (* (pow (+ 1 (/ i n)) n) (/ i n)) (* (/ i n) 1))
  (* (/ i n) (/ i n))
  (- (pow (/ (pow (+ 1 (/ i n)) n) (/ i n)) 3) (pow (/ 1 (/ i n)) 3))
  (+ (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (+ (* (/ 1 (/ i n)) (/ 1 (/ i n))) (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))))
  (- (/ 1 (/ i n)))
  (- (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (* (/ 1 (/ i n)) (/ 1 (/ i n))))
  (+ (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n)))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ 1 (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ 1 (/ i n))))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (sqrt (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (sqrt (/ i n))))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ (sqrt i) (sqrt n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (/ (sqrt i) (sqrt n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (sqrt (/ 1 (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (sqrt (/ 1 (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
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  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (/ (sqrt i) (sqrt n))))
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  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (sqrt (/ 1 (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (sqrt (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (sqrt n))) (/ 1 (/ (sqrt i) (sqrt n))))
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  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (sqrt (/ 1 (/ i n))))
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  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (sqrt (/ i n))))
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  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt 1) (/ (sqrt i) (sqrt n))))
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  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
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  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (cbrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (cbrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) 1))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 1))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) 1)
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) i)
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ 1 n))
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) (cbrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) (sqrt n)))
  (/ 1 (/ (* (cbrt i) (cbrt i)) 1))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))
  (/ 1 (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (cbrt n)))
  (/ 1 (/ (sqrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ 1 (/ (sqrt i) 1))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) n))
  (/ 1 (/ 1 (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n)))
  (/ 1 (/ 1 (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n)))
  (/ 1 (/ 1 1))
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 1)
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 i)
  (/ (pow (+ 1 (/ i n)) n) (/ 1 n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (cbrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (cbrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (cbrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) 1))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i (cbrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i (sqrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 1))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) 1)
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) i)
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ 1 n))
  (/ 1 (/ i n))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (pow (+ 1 (/ i n)) n) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ (* (cbrt i) (cbrt i)) 1))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) 1))
  (/ (pow (+ 1 (/ i n)) n) (/ 1 (* (cbrt n) (cbrt n))))
  (/ (pow (+ 1 (/ i n)) n) (/ 1 (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (/ 1 1))
  (/ (pow (+ 1 (/ i n)) n) 1)
  (/ (pow (+ 1 (/ i n)) n) i)
  (/ (/ i n) (pow (cbrt (+ 1 (/ i n))) n))
  (/ (/ i n) (pow (sqrt (+ 1 (/ i n))) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (/ i n) (sqrt (pow (+ 1 (/ i n)) n)))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) (/ n 2)))
  (/ (pow (+ 1 (/ i n)) n) i)
  (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
  (/ (* (- (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)))))
  (/ n i)
  (/ n i)
  (/ n i)
  (+ (/ n i) (+ n (* 1/2 (* i n))))
  (/ (* (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) n) i)
  (/ (* (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) n) i)
32.399 * * [simplify]: iteration 1: (483 enodes)
32.918 * * [simplify]: iteration 2: (1196 enodes)
34.759 * * [simplify]: Extracting #0: cost 273 inf + 0
34.761 * * [simplify]: Extracting #1: cost 892 inf + 44
34.765 * * [simplify]: Extracting #2: cost 1092 inf + 7525
34.774 * * [simplify]: Extracting #3: cost 801 inf + 74605
34.805 * * [simplify]: Extracting #4: cost 223 inf + 308341
34.846 * * [simplify]: Extracting #5: cost 13 inf + 409397
34.890 * * [simplify]: Extracting #6: cost 2 inf + 411574
34.934 * * [simplify]: Extracting #7: cost 0 inf + 412310
34.977 * * [simplify]: Extracting #8: cost 0 inf + 412170
35.022 * [simplify]: Simplified to:
  (exp (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (log (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (exp (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (* (cbrt (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))))
  (cbrt (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (* (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (* (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))))
  (sqrt (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (sqrt (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (* (pow (+ 1 (/ i n)) n) (/ i n)) (/ i n))
  (* (/ i n) (/ i n))
  (+ (* (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ -1 (* (/ i n) (* (/ i n) (/ i n)))))
  (+ (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (* (* (/ 1 i) n) (+ (* (/ 1 i) n) (/ (pow (+ 1 (/ i n)) n) (/ i n)))))
  (/ -1 (/ i n))
  (- (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (* (* (/ 1 i) n) (* (/ 1 i) n)))
  (+ (* (/ 1 i) n) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (* (/ 1 i) n)))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (* (/ 1 i) n)))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (* (/ 1 i) n)) (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (sqrt (* (/ 1 i) n)))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (- (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (* (/ 1 i) n)) (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (sqrt (* (/ 1 i) n)))
  (+ (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (- (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ (sqrt n) (sqrt i)))
  (+ (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (- (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i)) (/ (sqrt n) (sqrt i)))
  (+ (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (sqrt (* (/ 1 i) n)))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (sqrt (* (/ 1 i) n)))
  (+ (/ 1 (sqrt (/ i n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (/ 1 (sqrt (/ i n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (* (/ 1 i) n)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (sqrt (* (/ 1 i) n)))
  (+ (/ 1 (sqrt (/ i n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt n) (sqrt i)))
  (+ (/ 1 (sqrt (/ i n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))))
  (- (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (* (/ 1 i) n)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (sqrt (* (/ 1 i) n)))
  (+ (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n))) (/ (sqrt n) (sqrt i)))
  (+ (sqrt (* (/ 1 i) n)) (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (sqrt (* (/ 1 i) n)))
  (+ (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (- (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ (sqrt n) (sqrt i)))
  (+ (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (- (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ 1 (sqrt (/ i n))))
  (+ (/ (sqrt n) (sqrt i)) (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)))
  (- (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i)) (/ (sqrt n) (sqrt i)))
  (- (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n))) (/ 1 (cbrt (/ i n))))
  (- (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n))) (/ 1 (sqrt (/ i n))))
  (* (cbrt n) (- (/ (pow (+ 1 (/ i n)) n) (cbrt i)) (/ 1 (cbrt i))))
  (- (/ (* (pow (+ 1 (/ i n)) n) (sqrt n)) (cbrt i)) (* (sqrt n) (/ 1 (cbrt i))))
  (* n (- (/ (pow (+ 1 (/ i n)) n) (cbrt i)) (/ 1 (cbrt i))))
  (* (cbrt n) (- (/ (pow (+ 1 (/ i n)) n) (sqrt i)) (/ 1 (sqrt i))))
  (- (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n))) (/ (sqrt n) (sqrt i)))
  (* n (- (/ (pow (+ 1 (/ i n)) n) (sqrt i)) (/ 1 (sqrt i))))
  (- (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n))) (/ 1 (/ i (cbrt n))))
  (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n))))
  (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (- (* (pow (+ 1 (/ i n)) n) n) n)
  (- (* (pow (+ 1 (/ i n)) n) n) n)
  (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (+ (/ -1 (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (pow (+ 1 (/ i n)) n) 1)
  (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i))
  (/ -1 (/ i n))
  (* (log (+ 1 (/ i n))) n)
  (* (log (+ 1 (/ i n))) n)
  n
  (pow (+ 1 (/ i n)) (* (cbrt n) (cbrt n)))
  (pow (+ 1 (/ i n)) (sqrt n))
  (+ 1 (/ i n))
  (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n)
  (pow (cbrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  (pow (sqrt (+ 1 (/ i n))) n)
  1
  (pow (+ 1 (/ i n)) n)
  1
  (pow (+ 1 (/ i n)) n)
  (* (log (+ 1 (/ i n))) n)
  (exp (pow (+ 1 (/ i n)) n))
  (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n)))
  (cbrt (pow (+ 1 (/ i n)) n))
  (* (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (pow (+ 1 (/ i n)) n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (pow (+ 1 (/ i n)) (/ n 2))
  (pow (+ 1 (/ i n)) (/ n 2))
  -1
  (- (log (/ i n)))
  (- (log (/ i n)))
  (- (log (/ i n)))
  (- (log (/ i n)))
  (- (log (/ i n)))
  (- (log (/ i n)))
  (- (log (/ i n)))
  (exp (* (/ 1 i) n))
  (/ 1 (* (* (/ i n) (/ i n)) (/ i n)))
  (* (* (/ 1 i) n) (* (* (/ 1 i) n) (* (/ 1 i) n)))
  (* (cbrt (* (/ 1 i) n)) (cbrt (* (/ 1 i) n)))
  (cbrt (* (/ 1 i) n))
  (* (* (/ 1 i) n) (* (* (/ 1 i) n) (* (/ 1 i) n)))
  (sqrt (* (/ 1 i) n))
  (sqrt (* (/ 1 i) n))
  -1
  (/ (- i) n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 1 (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 1 (cbrt n)) (cbrt i))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (* (sqrt n) (/ 1 (cbrt i)))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (* 1 n) (cbrt i))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ (* 1 (cbrt n)) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ 1 (sqrt i))
  (/ 1 (/ (sqrt i) n))
  (* (cbrt n) (cbrt n))
  (/ 1 (/ i (cbrt n)))
  (sqrt n)
  (/ 1 (/ i (sqrt n)))
  1
  (* (/ 1 i) n)
  1
  (* (/ 1 i) n)
  (/ 1 i)
  n
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 1 (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 1 (cbrt n)) (cbrt i))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (* (sqrt n) (/ 1 (cbrt i)))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (* 1 n) (cbrt i))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ (* 1 (cbrt n)) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ 1 (sqrt i))
  (/ 1 (/ (sqrt i) n))
  (* (cbrt n) (cbrt n))
  (/ 1 (/ i (cbrt n)))
  (sqrt n)
  (/ 1 (/ i (sqrt n)))
  1
  (* (/ 1 i) n)
  1
  (* (/ 1 i) n)
  (/ 1 i)
  n
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 1 (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ (* 1 (cbrt n)) (cbrt i))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (* (sqrt n) (/ 1 (cbrt i)))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (* 1 n) (cbrt i))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ (* 1 (cbrt n)) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ (sqrt n) (sqrt i))
  (/ 1 (sqrt i))
  (/ 1 (/ (sqrt i) n))
  (* (cbrt n) (cbrt n))
  (/ 1 (/ i (cbrt n)))
  (sqrt n)
  (/ 1 (/ i (sqrt n)))
  1
  (* (/ 1 i) n)
  1
  (* (/ 1 i) n)
  (/ 1 i)
  n
  (* (/ 1 i) n)
  (/ i n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ 1 (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ 1 (* (cbrt i) (cbrt i)))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (/ (sqrt n) (sqrt i))
  (/ 1 (sqrt i))
  (* (cbrt n) (cbrt n))
  (sqrt n)
  1
  1
  (/ 1 i)
  (/ i n)
  (/ i n)
  (/ i n)
  (/ 1 i)
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))
  (exp (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (* (/ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* (/ i n) (/ i n))) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))))
  (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (* (* (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))
  (- (pow (+ 1 (/ i n)) n))
  (/ (- i) n)
  (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (cbrt (+ 1 (/ i n))) n) (cbrt (/ i n)))
  (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt (/ i n)))
  (/ (pow (cbrt (+ 1 (/ i n))) n) (sqrt (/ i n)))
  (/ (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (* (cbrt n) (/ (pow (cbrt (+ 1 (/ i n))) n) (cbrt i)))
  (/ (* (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt n)) (* (cbrt i) (cbrt i)))
  (/ (pow (cbrt (+ 1 (/ i n))) n) (/ (cbrt i) (sqrt n)))
  (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (* (cbrt i) (cbrt i)))
  (/ (* (pow (cbrt (+ 1 (/ i n))) n) n) (cbrt i))
  (* (* (cbrt n) (cbrt n)) (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt i)))
  (/ (* (pow (cbrt (+ 1 (/ i n))) n) (cbrt n)) (sqrt i))
  (* (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt i)) (sqrt n))
  (* (sqrt n) (/ (pow (cbrt (+ 1 (/ i n))) n) (sqrt i)))
  (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt i))
  (* (/ (pow (cbrt (+ 1 (/ i n))) n) (sqrt i)) n)
  (* (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (* (cbrt n) (cbrt n)))
  (* (/ (pow (cbrt (+ 1 (/ i n))) n) i) (cbrt n))
  (* (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) (sqrt n))
  (* (/ (pow (cbrt (+ 1 (/ i n))) n) i) (sqrt n))
  (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n)
  (/ (pow (cbrt (+ 1 (/ i n))) n) (/ i n))
  (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n)
  (/ (pow (cbrt (+ 1 (/ i n))) n) (/ i n))
  (/ (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) i)
  (* (pow (cbrt (+ 1 (/ i n))) n) n)
  (/ (/ (pow (sqrt (+ 1 (/ i n))) n) (cbrt (/ i n))) (cbrt (/ i n)))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (cbrt (/ i n)))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n)))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt (/ i n)))
  (/ (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (* (/ (pow (sqrt (+ 1 (/ i n))) n) (cbrt i)) (cbrt n))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (* (sqrt n) (/ (pow (sqrt (+ 1 (/ i n))) n) (cbrt i)))
  (/ (/ (pow (sqrt (+ 1 (/ i n))) n) (cbrt i)) (cbrt i))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (cbrt i) n))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) (cbrt n)))
  (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i))
  (/ (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n)) (sqrt i))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (sqrt i))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ (sqrt i) n))
  (* (* (pow (sqrt (+ 1 (/ i n))) n) (cbrt n)) (cbrt n))
  (/ (* (pow (sqrt (+ 1 (/ i n))) n) (cbrt n)) i)
  (* (pow (sqrt (+ 1 (/ i n))) n) (sqrt n))
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ i (sqrt n)))
  (pow (sqrt (+ 1 (/ i n))) n)
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ i n))
  (pow (sqrt (+ 1 (/ i n))) n)
  (/ (pow (sqrt (+ 1 (/ i n))) n) (/ i n))
  (/ (pow (sqrt (+ 1 (/ i n))) n) i)
  (* (pow (sqrt (+ 1 (/ i n))) n) n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (pow (+ 1 (/ i n)) n) (cbrt i)) (cbrt n))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (* (pow (+ 1 (/ i n)) n) (sqrt n)) (cbrt i))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (cbrt n) (/ (pow (+ 1 (/ i n)) n) (sqrt i)))
  (/ (sqrt n) (sqrt i))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ 1 (sqrt i))
  (* (/ (pow (+ 1 (/ i n)) n) (sqrt i)) n)
  (* (cbrt n) (cbrt n))
  (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n)))
  (sqrt n)
  (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n)))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 i)
  (* (pow (+ 1 (/ i n)) n) n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (pow (+ 1 (/ i n)) n) (cbrt i)) (cbrt n))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (* (pow (+ 1 (/ i n)) n) (sqrt n)) (cbrt i))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (cbrt n) (/ (pow (+ 1 (/ i n)) n) (sqrt i)))
  (/ (sqrt n) (sqrt i))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ 1 (sqrt i))
  (* (/ (pow (+ 1 (/ i n)) n) (sqrt i)) n)
  (* (cbrt n) (cbrt n))
  (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n)))
  (sqrt n)
  (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n)))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 i)
  (* (pow (+ 1 (/ i n)) n) n)
  (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (/ i n))) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (/ i n))))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (/ i n)))
  (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n))) (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n)))
  (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)))
  (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))
  (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i))))
  (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))
  (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) n))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (/ (/ (sqrt i) (cbrt n)) (cbrt n)) (cbrt (pow (+ 1 (/ i n)) n))))
  (/ (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt n)) (sqrt i))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (* (cbrt (pow (+ 1 (/ i n)) n)) (sqrt n))))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (cbrt (pow (+ 1 (/ i n)) n))))
  (* n (/ (cbrt (pow (+ 1 (/ i n)) n)) (sqrt i)))
  (* (* (cbrt n) (cbrt n)) (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt n)))
  (* (sqrt n) (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))))
  (* (sqrt n) (/ (cbrt (pow (+ 1 (/ i n)) n)) i))
  (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt (pow (+ 1 (/ i n)) n))))
  (* n (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (cbrt (/ i n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt (/ i n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (cbrt n) (/ (sqrt (pow (+ 1 (/ i n)) n)) (cbrt i)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (* (cbrt i) (cbrt i)))
  (/ (* (sqrt (pow (+ 1 (/ i n)) n)) n) (cbrt i))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt i)) (cbrt n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt i))
  (/ (* (sqrt (pow (+ 1 (/ i n)) n)) n) (sqrt i))
  (* (* (cbrt n) (cbrt n)) (sqrt (pow (+ 1 (/ i n)) n)))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (cbrt n)))
  (* (sqrt (pow (+ 1 (/ i n)) n)) (sqrt n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i (sqrt n)))
  (sqrt (pow (+ 1 (/ i n)) n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (sqrt (pow (+ 1 (/ i n)) n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ i n))
  (/ (sqrt (pow (+ 1 (/ i n)) n)) i)
  (* (sqrt (pow (+ 1 (/ i n)) n)) n)
  (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (cbrt (/ i n)))
  (/ 1 (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ 1 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))
  (* (/ (pow (+ 1 (/ i n)) n) (cbrt i)) (cbrt n))
  (/ 1 (/ (* (cbrt i) (cbrt i)) (sqrt n)))
  (/ (* (pow (+ 1 (/ i n)) n) (sqrt n)) (cbrt i))
  (/ 1 (* (cbrt i) (cbrt i)))
  (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))
  (* (/ 1 (sqrt i)) (* (cbrt n) (cbrt n)))
  (* (cbrt n) (/ (pow (+ 1 (/ i n)) n) (sqrt i)))
  (/ (sqrt n) (sqrt i))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ 1 (sqrt i))
  (* (/ (pow (+ 1 (/ i n)) n) (sqrt i)) n)
  (* (cbrt n) (cbrt n))
  (/ (pow (+ 1 (/ i n)) n) (/ i (cbrt n)))
  (sqrt n)
  (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n)))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  1
  (/ (pow (+ 1 (/ i n)) n) (/ i n))
  (/ 1 i)
  (* (pow (+ 1 (/ i n)) n) n)
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (cbrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt (/ i n)))
  (/ (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (cbrt n)))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (* (cbrt i) (cbrt i)))
  (* (sqrt n) (/ (pow (+ 1 (/ i n)) (/ n 2)) (cbrt i)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (* (cbrt i) (cbrt i)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (/ (sqrt i) (cbrt n)) (cbrt n)))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (sqrt i) (cbrt n)))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (sqrt i))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) n) (sqrt i))
  (* (* (cbrt n) (cbrt n)) (pow (+ 1 (/ i n)) (/ n 2)))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (cbrt n)) i)
  (* (sqrt n) (pow (+ 1 (/ i n)) (/ n 2)))
  (/ (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) i)
  (pow (+ 1 (/ i n)) (/ n 2))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))
  (pow (+ 1 (/ i n)) (/ n 2))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i n))
  (/ (pow (+ 1 (/ i n)) (/ n 2)) i)
  (* n (pow (+ 1 (/ i n)) (/ n 2)))
  (* (/ 1 i) n)
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (pow (+ 1 (/ i n)) n) (* (cbrt (/ i n)) (cbrt (/ i n))))
  (/ (pow (+ 1 (/ i n)) n) (sqrt (/ i n)))
  (/ (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n)))
  (* (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (sqrt n))
  (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i)))
  (* (* (cbrt n) (cbrt n)) (/ (pow (+ 1 (/ i n)) n) (sqrt i)))
  (/ (pow (+ 1 (/ i n)) n) (/ (sqrt i) (sqrt n)))
  (/ (pow (+ 1 (/ i n)) n) (sqrt i))
  (* (* (cbrt n) (cbrt n)) (pow (+ 1 (/ i n)) n))
  (* (sqrt n) (pow (+ 1 (/ i n)) n))
  (pow (+ 1 (/ i n)) n)
  (pow (+ 1 (/ i n)) n)
  (/ (pow (+ 1 (/ i n)) n) i)
  (/ (/ i n) (pow (cbrt (+ 1 (/ i n))) n))
  (/ (/ i n) (pow (sqrt (+ 1 (/ i n))) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (cbrt (pow (+ 1 (/ i n)) n)))
  (/ (/ i n) (sqrt (pow (+ 1 (/ i n)) n)))
  (/ (/ i n) (pow (+ 1 (/ i n)) n))
  (/ (/ i n) (pow (+ 1 (/ i n)) (/ n 2)))
  (/ (pow (+ 1 (/ i n)) n) i)
  (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))
  (/ (+ (exp (* n (log (/ i n)))) -1) (/ i n))
  (* (/ n i) (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1))
  (+ (+ (* i (* i 1/2)) i) 1)
  (exp (* n (log (/ i n))))
  (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))
  (/ n i)
  (/ n i)
  (/ n i)
  (+ n (+ (* (* i 1/2) n) (/ n i)))
  (/ (exp (* n (log (/ i n)))) (/ i n))
  (/ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ i n))
35.053 * * * [progress]: adding candidates to table
36.985 * * [progress]: iteration 4 / 4
36.985 * * * [progress]: picking best candidate
37.035 * * * * [pick]: Picked  #<alt (λ (i n) (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.035 * * * [progress]: localizing error
37.056 * * * [progress]: generating rewritten candidates
37.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
37.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
37.124 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
37.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
37.363 * * * [progress]: generating series expansions
37.363 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
37.363 * [backup-simplify]: Simplify (* (* i i) n) into (* (pow i 2) n)
37.363 * [approximate]: Taking taylor expansion of (* (pow i 2) n) in (i n) around 0
37.364 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.364 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.364 * [taylor]: Taking taylor expansion of i in n
37.364 * [backup-simplify]: Simplify i into i
37.364 * [taylor]: Taking taylor expansion of n in n
37.364 * [backup-simplify]: Simplify 0 into 0
37.364 * [backup-simplify]: Simplify 1 into 1
37.364 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.364 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.364 * [taylor]: Taking taylor expansion of i in i
37.364 * [backup-simplify]: Simplify 0 into 0
37.364 * [backup-simplify]: Simplify 1 into 1
37.364 * [taylor]: Taking taylor expansion of n in i
37.364 * [backup-simplify]: Simplify n into n
37.364 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.364 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.364 * [taylor]: Taking taylor expansion of i in i
37.364 * [backup-simplify]: Simplify 0 into 0
37.364 * [backup-simplify]: Simplify 1 into 1
37.364 * [taylor]: Taking taylor expansion of n in i
37.364 * [backup-simplify]: Simplify n into n
37.364 * [backup-simplify]: Simplify (* 1 1) into 1
37.364 * [backup-simplify]: Simplify (* 1 n) into n
37.364 * [taylor]: Taking taylor expansion of n in n
37.364 * [backup-simplify]: Simplify 0 into 0
37.364 * [backup-simplify]: Simplify 1 into 1
37.364 * [backup-simplify]: Simplify 0 into 0
37.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.365 * [taylor]: Taking taylor expansion of 0 in n
37.365 * [backup-simplify]: Simplify 0 into 0
37.365 * [backup-simplify]: Simplify 0 into 0
37.365 * [backup-simplify]: Simplify 1 into 1
37.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.366 * [taylor]: Taking taylor expansion of 0 in n
37.366 * [backup-simplify]: Simplify 0 into 0
37.366 * [backup-simplify]: Simplify 0 into 0
37.366 * [backup-simplify]: Simplify 0 into 0
37.366 * [backup-simplify]: Simplify 0 into 0
37.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.367 * [taylor]: Taking taylor expansion of 0 in n
37.367 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify (* 1 (* n (pow i 2))) into (* (pow i 2) n)
37.368 * [backup-simplify]: Simplify (* (* (/ 1 i) (/ 1 i)) (/ 1 n)) into (/ 1 (* (pow i 2) n))
37.368 * [approximate]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in (i n) around 0
37.368 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n
37.368 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.368 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.368 * [taylor]: Taking taylor expansion of i in n
37.368 * [backup-simplify]: Simplify i into i
37.368 * [taylor]: Taking taylor expansion of n in n
37.368 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify 1 into 1
37.368 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.368 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.368 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.368 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.368 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
37.368 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.368 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.368 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.368 * [taylor]: Taking taylor expansion of i in i
37.368 * [backup-simplify]: Simplify 0 into 0
37.368 * [backup-simplify]: Simplify 1 into 1
37.368 * [taylor]: Taking taylor expansion of n in i
37.368 * [backup-simplify]: Simplify n into n
37.369 * [backup-simplify]: Simplify (* 1 1) into 1
37.369 * [backup-simplify]: Simplify (* 1 n) into n
37.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.369 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.369 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.369 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.369 * [taylor]: Taking taylor expansion of i in i
37.369 * [backup-simplify]: Simplify 0 into 0
37.369 * [backup-simplify]: Simplify 1 into 1
37.369 * [taylor]: Taking taylor expansion of n in i
37.369 * [backup-simplify]: Simplify n into n
37.369 * [backup-simplify]: Simplify (* 1 1) into 1
37.369 * [backup-simplify]: Simplify (* 1 n) into n
37.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.369 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.369 * [taylor]: Taking taylor expansion of n in n
37.369 * [backup-simplify]: Simplify 0 into 0
37.369 * [backup-simplify]: Simplify 1 into 1
37.369 * [backup-simplify]: Simplify (/ 1 1) into 1
37.369 * [backup-simplify]: Simplify 1 into 1
37.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.370 * [taylor]: Taking taylor expansion of 0 in n
37.370 * [backup-simplify]: Simplify 0 into 0
37.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
37.371 * [backup-simplify]: Simplify 0 into 0
37.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.372 * [taylor]: Taking taylor expansion of 0 in n
37.372 * [backup-simplify]: Simplify 0 into 0
37.372 * [backup-simplify]: Simplify 0 into 0
37.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.373 * [backup-simplify]: Simplify 0 into 0
37.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.374 * [taylor]: Taking taylor expansion of 0 in n
37.374 * [backup-simplify]: Simplify 0 into 0
37.374 * [backup-simplify]: Simplify 0 into 0
37.374 * [backup-simplify]: Simplify 0 into 0
37.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.374 * [backup-simplify]: Simplify 0 into 0
37.375 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))) into (* (pow i 2) n)
37.375 * [backup-simplify]: Simplify (* (* (/ 1 (- i)) (/ 1 (- i))) (/ 1 (- n))) into (/ -1 (* (pow i 2) n))
37.375 * [approximate]: Taking taylor expansion of (/ -1 (* (pow i 2) n)) in (i n) around 0
37.375 * [taylor]: Taking taylor expansion of (/ -1 (* (pow i 2) n)) in n
37.375 * [taylor]: Taking taylor expansion of -1 in n
37.375 * [backup-simplify]: Simplify -1 into -1
37.375 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.375 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.375 * [taylor]: Taking taylor expansion of i in n
37.375 * [backup-simplify]: Simplify i into i
37.375 * [taylor]: Taking taylor expansion of n in n
37.375 * [backup-simplify]: Simplify 0 into 0
37.375 * [backup-simplify]: Simplify 1 into 1
37.375 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.375 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.375 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.375 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.375 * [backup-simplify]: Simplify (/ -1 (pow i 2)) into (/ -1 (pow i 2))
37.375 * [taylor]: Taking taylor expansion of (/ -1 (* (pow i 2) n)) in i
37.375 * [taylor]: Taking taylor expansion of -1 in i
37.375 * [backup-simplify]: Simplify -1 into -1
37.375 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.375 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.375 * [taylor]: Taking taylor expansion of i in i
37.375 * [backup-simplify]: Simplify 0 into 0
37.375 * [backup-simplify]: Simplify 1 into 1
37.375 * [taylor]: Taking taylor expansion of n in i
37.375 * [backup-simplify]: Simplify n into n
37.376 * [backup-simplify]: Simplify (* 1 1) into 1
37.376 * [backup-simplify]: Simplify (* 1 n) into n
37.376 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
37.376 * [taylor]: Taking taylor expansion of (/ -1 (* (pow i 2) n)) in i
37.376 * [taylor]: Taking taylor expansion of -1 in i
37.376 * [backup-simplify]: Simplify -1 into -1
37.376 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.376 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.376 * [taylor]: Taking taylor expansion of i in i
37.376 * [backup-simplify]: Simplify 0 into 0
37.376 * [backup-simplify]: Simplify 1 into 1
37.376 * [taylor]: Taking taylor expansion of n in i
37.376 * [backup-simplify]: Simplify n into n
37.376 * [backup-simplify]: Simplify (* 1 1) into 1
37.376 * [backup-simplify]: Simplify (* 1 n) into n
37.376 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
37.376 * [taylor]: Taking taylor expansion of (/ -1 n) in n
37.376 * [taylor]: Taking taylor expansion of -1 in n
37.376 * [backup-simplify]: Simplify -1 into -1
37.376 * [taylor]: Taking taylor expansion of n in n
37.376 * [backup-simplify]: Simplify 0 into 0
37.376 * [backup-simplify]: Simplify 1 into 1
37.377 * [backup-simplify]: Simplify (/ -1 1) into -1
37.377 * [backup-simplify]: Simplify -1 into -1
37.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.377 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0
37.377 * [taylor]: Taking taylor expansion of 0 in n
37.377 * [backup-simplify]: Simplify 0 into 0
37.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
37.378 * [backup-simplify]: Simplify 0 into 0
37.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.379 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.379 * [taylor]: Taking taylor expansion of 0 in n
37.379 * [backup-simplify]: Simplify 0 into 0
37.379 * [backup-simplify]: Simplify 0 into 0
37.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.379 * [backup-simplify]: Simplify 0 into 0
37.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.381 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.381 * [taylor]: Taking taylor expansion of 0 in n
37.381 * [backup-simplify]: Simplify 0 into 0
37.381 * [backup-simplify]: Simplify 0 into 0
37.381 * [backup-simplify]: Simplify 0 into 0
37.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.381 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))) into (* (pow i 2) n)
37.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
37.382 * [backup-simplify]: Simplify (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
37.382 * [approximate]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in (i n) around 0
37.382 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n
37.382 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n
37.382 * [taylor]: Taking taylor expansion of 1/6 in n
37.382 * [backup-simplify]: Simplify 1/6 into 1/6
37.382 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.382 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.382 * [taylor]: Taking taylor expansion of i in n
37.382 * [backup-simplify]: Simplify i into i
37.382 * [taylor]: Taking taylor expansion of n in n
37.382 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify 1 into 1
37.382 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n
37.382 * [taylor]: Taking taylor expansion of n in n
37.382 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify 1 into 1
37.382 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n
37.382 * [taylor]: Taking taylor expansion of 1/2 in n
37.382 * [backup-simplify]: Simplify 1/2 into 1/2
37.382 * [taylor]: Taking taylor expansion of (* i n) in n
37.382 * [taylor]: Taking taylor expansion of i in n
37.382 * [backup-simplify]: Simplify i into i
37.382 * [taylor]: Taking taylor expansion of n in n
37.382 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify 1 into 1
37.382 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i
37.382 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.382 * [taylor]: Taking taylor expansion of 1/6 in i
37.382 * [backup-simplify]: Simplify 1/6 into 1/6
37.382 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.382 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.382 * [taylor]: Taking taylor expansion of i in i
37.382 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify 1 into 1
37.382 * [taylor]: Taking taylor expansion of n in i
37.382 * [backup-simplify]: Simplify n into n
37.382 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i
37.382 * [taylor]: Taking taylor expansion of n in i
37.382 * [backup-simplify]: Simplify n into n
37.382 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i
37.382 * [taylor]: Taking taylor expansion of 1/2 in i
37.382 * [backup-simplify]: Simplify 1/2 into 1/2
37.382 * [taylor]: Taking taylor expansion of (* i n) in i
37.382 * [taylor]: Taking taylor expansion of i in i
37.382 * [backup-simplify]: Simplify 0 into 0
37.382 * [backup-simplify]: Simplify 1 into 1
37.382 * [taylor]: Taking taylor expansion of n in i
37.382 * [backup-simplify]: Simplify n into n
37.382 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i
37.382 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.383 * [taylor]: Taking taylor expansion of 1/6 in i
37.383 * [backup-simplify]: Simplify 1/6 into 1/6
37.383 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.383 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.383 * [taylor]: Taking taylor expansion of i in i
37.383 * [backup-simplify]: Simplify 0 into 0
37.383 * [backup-simplify]: Simplify 1 into 1
37.383 * [taylor]: Taking taylor expansion of n in i
37.383 * [backup-simplify]: Simplify n into n
37.383 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i
37.383 * [taylor]: Taking taylor expansion of n in i
37.383 * [backup-simplify]: Simplify n into n
37.383 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i
37.383 * [taylor]: Taking taylor expansion of 1/2 in i
37.383 * [backup-simplify]: Simplify 1/2 into 1/2
37.383 * [taylor]: Taking taylor expansion of (* i n) in i
37.383 * [taylor]: Taking taylor expansion of i in i
37.383 * [backup-simplify]: Simplify 0 into 0
37.383 * [backup-simplify]: Simplify 1 into 1
37.383 * [taylor]: Taking taylor expansion of n in i
37.383 * [backup-simplify]: Simplify n into n
37.383 * [backup-simplify]: Simplify (* 0 n) into 0
37.383 * [backup-simplify]: Simplify (* 1/2 0) into 0
37.383 * [backup-simplify]: Simplify (+ n 0) into n
37.383 * [backup-simplify]: Simplify (+ 0 n) into n
37.383 * [taylor]: Taking taylor expansion of n in n
37.383 * [backup-simplify]: Simplify 0 into 0
37.383 * [backup-simplify]: Simplify 1 into 1
37.383 * [backup-simplify]: Simplify 0 into 0
37.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.384 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n)
37.384 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n)
37.384 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n)
37.384 * [taylor]: Taking taylor expansion of (* 1/2 n) in n
37.384 * [taylor]: Taking taylor expansion of 1/2 in n
37.384 * [backup-simplify]: Simplify 1/2 into 1/2
37.384 * [taylor]: Taking taylor expansion of n in n
37.384 * [backup-simplify]: Simplify 0 into 0
37.384 * [backup-simplify]: Simplify 1 into 1
37.384 * [backup-simplify]: Simplify (* 1/2 0) into 0
37.384 * [backup-simplify]: Simplify 0 into 0
37.384 * [backup-simplify]: Simplify 1 into 1
37.384 * [backup-simplify]: Simplify (* 1 1) into 1
37.384 * [backup-simplify]: Simplify (* 1 n) into n
37.385 * [backup-simplify]: Simplify (* 1/6 n) into (* 1/6 n)
37.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0
37.386 * [backup-simplify]: Simplify (+ 0 0) into 0
37.386 * [backup-simplify]: Simplify (+ (* 1/6 n) 0) into (* 1/6 n)
37.386 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
37.386 * [taylor]: Taking taylor expansion of 1/6 in n
37.386 * [backup-simplify]: Simplify 1/6 into 1/6
37.386 * [taylor]: Taking taylor expansion of n in n
37.386 * [backup-simplify]: Simplify 0 into 0
37.386 * [backup-simplify]: Simplify 1 into 1
37.386 * [backup-simplify]: Simplify (* 1/6 0) into 0
37.386 * [backup-simplify]: Simplify 0 into 0
37.387 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
37.387 * [backup-simplify]: Simplify 1/2 into 1/2
37.387 * [backup-simplify]: Simplify 0 into 0
37.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.387 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 n)) into 0
37.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0
37.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0
37.389 * [backup-simplify]: Simplify (+ 0 0) into 0
37.389 * [backup-simplify]: Simplify (+ 0 0) into 0
37.389 * [taylor]: Taking taylor expansion of 0 in n
37.389 * [backup-simplify]: Simplify 0 into 0
37.389 * [backup-simplify]: Simplify 0 into 0
37.390 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
37.390 * [backup-simplify]: Simplify 1/6 into 1/6
37.390 * [backup-simplify]: Simplify (+ (* 1/6 (* n (pow i 2))) (+ (* 1/2 (* n i)) (* 1 (* n 1)))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
37.390 * [backup-simplify]: Simplify (+ (* (* (* (/ 1 i) (/ 1 i)) (/ 1 n)) 1/6) (+ (* (* (/ 1 i) 1/2) (/ 1 n)) (/ 1 n))) into (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))
37.390 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in (i n) around 0
37.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n
37.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n
37.390 * [taylor]: Taking taylor expansion of 1/2 in n
37.390 * [backup-simplify]: Simplify 1/2 into 1/2
37.390 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n
37.390 * [taylor]: Taking taylor expansion of (* i n) in n
37.390 * [taylor]: Taking taylor expansion of i in n
37.390 * [backup-simplify]: Simplify i into i
37.390 * [taylor]: Taking taylor expansion of n in n
37.390 * [backup-simplify]: Simplify 0 into 0
37.390 * [backup-simplify]: Simplify 1 into 1
37.390 * [backup-simplify]: Simplify (* i 0) into 0
37.391 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
37.391 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
37.391 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n
37.391 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n
37.391 * [taylor]: Taking taylor expansion of 1/6 in n
37.391 * [backup-simplify]: Simplify 1/6 into 1/6
37.391 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n
37.391 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.391 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.391 * [taylor]: Taking taylor expansion of i in n
37.391 * [backup-simplify]: Simplify i into i
37.391 * [taylor]: Taking taylor expansion of n in n
37.391 * [backup-simplify]: Simplify 0 into 0
37.391 * [backup-simplify]: Simplify 1 into 1
37.391 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.391 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.391 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.391 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.391 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
37.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.391 * [taylor]: Taking taylor expansion of n in n
37.391 * [backup-simplify]: Simplify 0 into 0
37.391 * [backup-simplify]: Simplify 1 into 1
37.392 * [backup-simplify]: Simplify (/ 1 1) into 1
37.392 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.392 * [taylor]: Taking taylor expansion of 1/2 in i
37.392 * [backup-simplify]: Simplify 1/2 into 1/2
37.392 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.392 * [taylor]: Taking taylor expansion of (* i n) in i
37.392 * [taylor]: Taking taylor expansion of i in i
37.392 * [backup-simplify]: Simplify 0 into 0
37.392 * [backup-simplify]: Simplify 1 into 1
37.392 * [taylor]: Taking taylor expansion of n in i
37.392 * [backup-simplify]: Simplify n into n
37.392 * [backup-simplify]: Simplify (* 0 n) into 0
37.392 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.392 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.392 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.392 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.392 * [taylor]: Taking taylor expansion of 1/6 in i
37.392 * [backup-simplify]: Simplify 1/6 into 1/6
37.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.392 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.392 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.392 * [taylor]: Taking taylor expansion of i in i
37.392 * [backup-simplify]: Simplify 0 into 0
37.392 * [backup-simplify]: Simplify 1 into 1
37.392 * [taylor]: Taking taylor expansion of n in i
37.392 * [backup-simplify]: Simplify n into n
37.392 * [backup-simplify]: Simplify (* 1 1) into 1
37.392 * [backup-simplify]: Simplify (* 1 n) into n
37.392 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.392 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.393 * [taylor]: Taking taylor expansion of n in i
37.393 * [backup-simplify]: Simplify n into n
37.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.393 * [taylor]: Taking taylor expansion of 1/2 in i
37.393 * [backup-simplify]: Simplify 1/2 into 1/2
37.393 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.393 * [taylor]: Taking taylor expansion of (* i n) in i
37.393 * [taylor]: Taking taylor expansion of i in i
37.393 * [backup-simplify]: Simplify 0 into 0
37.393 * [backup-simplify]: Simplify 1 into 1
37.393 * [taylor]: Taking taylor expansion of n in i
37.393 * [backup-simplify]: Simplify n into n
37.393 * [backup-simplify]: Simplify (* 0 n) into 0
37.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.393 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.393 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.393 * [taylor]: Taking taylor expansion of 1/6 in i
37.393 * [backup-simplify]: Simplify 1/6 into 1/6
37.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.393 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.393 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.393 * [taylor]: Taking taylor expansion of i in i
37.393 * [backup-simplify]: Simplify 0 into 0
37.393 * [backup-simplify]: Simplify 1 into 1
37.393 * [taylor]: Taking taylor expansion of n in i
37.393 * [backup-simplify]: Simplify n into n
37.393 * [backup-simplify]: Simplify (* 1 1) into 1
37.393 * [backup-simplify]: Simplify (* 1 n) into n
37.394 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.394 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.394 * [taylor]: Taking taylor expansion of n in i
37.394 * [backup-simplify]: Simplify n into n
37.394 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.394 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n)
37.394 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n))
37.394 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ 1 n))) into (* 1/6 (/ 1 n))
37.394 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 n)) in n
37.394 * [taylor]: Taking taylor expansion of 1/6 in n
37.394 * [backup-simplify]: Simplify 1/6 into 1/6
37.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.394 * [taylor]: Taking taylor expansion of n in n
37.394 * [backup-simplify]: Simplify 0 into 0
37.394 * [backup-simplify]: Simplify 1 into 1
37.394 * [backup-simplify]: Simplify (/ 1 1) into 1
37.394 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
37.394 * [backup-simplify]: Simplify 1/6 into 1/6
37.394 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n)
37.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.395 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 n))) into 0
37.396 * [backup-simplify]: Simplify (+ 0 0) into 0
37.396 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n))
37.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
37.396 * [taylor]: Taking taylor expansion of 1/2 in n
37.396 * [backup-simplify]: Simplify 1/2 into 1/2
37.396 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.396 * [taylor]: Taking taylor expansion of n in n
37.396 * [backup-simplify]: Simplify 0 into 0
37.396 * [backup-simplify]: Simplify 1 into 1
37.396 * [backup-simplify]: Simplify (/ 1 1) into 1
37.396 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
37.396 * [backup-simplify]: Simplify 1/2 into 1/2
37.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
37.397 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
37.397 * [backup-simplify]: Simplify 0 into 0
37.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0
37.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.399 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0
37.400 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.400 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.400 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.400 * [taylor]: Taking taylor expansion of n in n
37.400 * [backup-simplify]: Simplify 0 into 0
37.400 * [backup-simplify]: Simplify 1 into 1
37.400 * [backup-simplify]: Simplify (/ 1 1) into 1
37.400 * [backup-simplify]: Simplify 1 into 1
37.400 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 n)) 1)) (+ (* 1/2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 i)))) (* 1/6 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
37.400 * [backup-simplify]: Simplify (+ (* (* (* (/ 1 (- i)) (/ 1 (- i))) (/ 1 (- n))) 1/6) (+ (* (* (/ 1 (- i)) 1/2) (/ 1 (- n))) (/ 1 (- n)))) into (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))
37.400 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in (i n) around 0
37.400 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n
37.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n
37.400 * [taylor]: Taking taylor expansion of 1/2 in n
37.401 * [backup-simplify]: Simplify 1/2 into 1/2
37.401 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n
37.401 * [taylor]: Taking taylor expansion of (* i n) in n
37.401 * [taylor]: Taking taylor expansion of i in n
37.401 * [backup-simplify]: Simplify i into i
37.401 * [taylor]: Taking taylor expansion of n in n
37.401 * [backup-simplify]: Simplify 0 into 0
37.401 * [backup-simplify]: Simplify 1 into 1
37.401 * [backup-simplify]: Simplify (* i 0) into 0
37.401 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
37.401 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
37.401 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n
37.401 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n
37.401 * [taylor]: Taking taylor expansion of 1/6 in n
37.401 * [backup-simplify]: Simplify 1/6 into 1/6
37.401 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n
37.401 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.401 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.401 * [taylor]: Taking taylor expansion of i in n
37.401 * [backup-simplify]: Simplify i into i
37.401 * [taylor]: Taking taylor expansion of n in n
37.401 * [backup-simplify]: Simplify 0 into 0
37.401 * [backup-simplify]: Simplify 1 into 1
37.401 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.401 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.401 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.401 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.402 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
37.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.402 * [taylor]: Taking taylor expansion of n in n
37.402 * [backup-simplify]: Simplify 0 into 0
37.402 * [backup-simplify]: Simplify 1 into 1
37.402 * [backup-simplify]: Simplify (/ 1 1) into 1
37.402 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.402 * [taylor]: Taking taylor expansion of 1/2 in i
37.402 * [backup-simplify]: Simplify 1/2 into 1/2
37.402 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.402 * [taylor]: Taking taylor expansion of (* i n) in i
37.402 * [taylor]: Taking taylor expansion of i in i
37.402 * [backup-simplify]: Simplify 0 into 0
37.402 * [backup-simplify]: Simplify 1 into 1
37.402 * [taylor]: Taking taylor expansion of n in i
37.402 * [backup-simplify]: Simplify n into n
37.402 * [backup-simplify]: Simplify (* 0 n) into 0
37.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.402 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.402 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.402 * [taylor]: Taking taylor expansion of 1/6 in i
37.402 * [backup-simplify]: Simplify 1/6 into 1/6
37.402 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.402 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.402 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.402 * [taylor]: Taking taylor expansion of i in i
37.402 * [backup-simplify]: Simplify 0 into 0
37.402 * [backup-simplify]: Simplify 1 into 1
37.402 * [taylor]: Taking taylor expansion of n in i
37.403 * [backup-simplify]: Simplify n into n
37.403 * [backup-simplify]: Simplify (* 1 1) into 1
37.403 * [backup-simplify]: Simplify (* 1 n) into n
37.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.403 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.403 * [taylor]: Taking taylor expansion of n in i
37.403 * [backup-simplify]: Simplify n into n
37.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.403 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.403 * [taylor]: Taking taylor expansion of 1/2 in i
37.403 * [backup-simplify]: Simplify 1/2 into 1/2
37.403 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.403 * [taylor]: Taking taylor expansion of (* i n) in i
37.403 * [taylor]: Taking taylor expansion of i in i
37.403 * [backup-simplify]: Simplify 0 into 0
37.403 * [backup-simplify]: Simplify 1 into 1
37.403 * [taylor]: Taking taylor expansion of n in i
37.403 * [backup-simplify]: Simplify n into n
37.403 * [backup-simplify]: Simplify (* 0 n) into 0
37.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.403 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.403 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.403 * [taylor]: Taking taylor expansion of 1/6 in i
37.403 * [backup-simplify]: Simplify 1/6 into 1/6
37.403 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.403 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.403 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.403 * [taylor]: Taking taylor expansion of i in i
37.403 * [backup-simplify]: Simplify 0 into 0
37.403 * [backup-simplify]: Simplify 1 into 1
37.404 * [taylor]: Taking taylor expansion of n in i
37.404 * [backup-simplify]: Simplify n into n
37.404 * [backup-simplify]: Simplify (* 1 1) into 1
37.404 * [backup-simplify]: Simplify (* 1 n) into n
37.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.404 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.404 * [taylor]: Taking taylor expansion of n in i
37.404 * [backup-simplify]: Simplify n into n
37.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.404 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n)
37.404 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n))
37.404 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 n))) into (- (* 1/6 (/ 1 n)))
37.404 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 n)))) into (- (* 1/6 (/ 1 n)))
37.404 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 n))) in n
37.404 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 n)) in n
37.404 * [taylor]: Taking taylor expansion of 1/6 in n
37.404 * [backup-simplify]: Simplify 1/6 into 1/6
37.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.404 * [taylor]: Taking taylor expansion of n in n
37.404 * [backup-simplify]: Simplify 0 into 0
37.404 * [backup-simplify]: Simplify 1 into 1
37.404 * [backup-simplify]: Simplify (/ 1 1) into 1
37.405 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
37.405 * [backup-simplify]: Simplify (- 1/6) into -1/6
37.405 * [backup-simplify]: Simplify -1/6 into -1/6
37.405 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n)
37.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.406 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 n))) into 0
37.406 * [backup-simplify]: Simplify (+ 0 0) into 0
37.406 * [backup-simplify]: Simplify (- 0) into 0
37.407 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n))
37.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n
37.407 * [taylor]: Taking taylor expansion of 1/2 in n
37.407 * [backup-simplify]: Simplify 1/2 into 1/2
37.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.407 * [taylor]: Taking taylor expansion of n in n
37.407 * [backup-simplify]: Simplify 0 into 0
37.407 * [backup-simplify]: Simplify 1 into 1
37.407 * [backup-simplify]: Simplify (/ 1 1) into 1
37.407 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
37.407 * [backup-simplify]: Simplify 1/2 into 1/2
37.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
37.408 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
37.408 * [backup-simplify]: Simplify (- 0) into 0
37.408 * [backup-simplify]: Simplify 0 into 0
37.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0
37.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.411 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0
37.411 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.411 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
37.411 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
37.411 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n
37.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.411 * [taylor]: Taking taylor expansion of n in n
37.411 * [backup-simplify]: Simplify 0 into 0
37.411 * [backup-simplify]: Simplify 1 into 1
37.411 * [backup-simplify]: Simplify (/ 1 1) into 1
37.411 * [backup-simplify]: Simplify (- 1) into -1
37.411 * [backup-simplify]: Simplify -1 into -1
37.412 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- n))) 1)) (+ (* 1/2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- i))))) (* -1/6 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
37.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
37.412 * [backup-simplify]: Simplify (* (* (* i i) n) 1/6) into (* 1/6 (* (pow i 2) n))
37.412 * [approximate]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in (i n) around 0
37.412 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n
37.412 * [taylor]: Taking taylor expansion of 1/6 in n
37.412 * [backup-simplify]: Simplify 1/6 into 1/6
37.412 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.412 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.412 * [taylor]: Taking taylor expansion of i in n
37.412 * [backup-simplify]: Simplify i into i
37.412 * [taylor]: Taking taylor expansion of n in n
37.412 * [backup-simplify]: Simplify 0 into 0
37.412 * [backup-simplify]: Simplify 1 into 1
37.412 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.412 * [taylor]: Taking taylor expansion of 1/6 in i
37.412 * [backup-simplify]: Simplify 1/6 into 1/6
37.412 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.412 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.412 * [taylor]: Taking taylor expansion of i in i
37.412 * [backup-simplify]: Simplify 0 into 0
37.412 * [backup-simplify]: Simplify 1 into 1
37.412 * [taylor]: Taking taylor expansion of n in i
37.412 * [backup-simplify]: Simplify n into n
37.412 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.412 * [taylor]: Taking taylor expansion of 1/6 in i
37.412 * [backup-simplify]: Simplify 1/6 into 1/6
37.412 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.412 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.412 * [taylor]: Taking taylor expansion of i in i
37.412 * [backup-simplify]: Simplify 0 into 0
37.412 * [backup-simplify]: Simplify 1 into 1
37.412 * [taylor]: Taking taylor expansion of n in i
37.412 * [backup-simplify]: Simplify n into n
37.412 * [backup-simplify]: Simplify (* 1 1) into 1
37.412 * [backup-simplify]: Simplify (* 1 n) into n
37.412 * [backup-simplify]: Simplify (* 1/6 n) into (* 1/6 n)
37.412 * [taylor]: Taking taylor expansion of (* 1/6 n) in n
37.412 * [taylor]: Taking taylor expansion of 1/6 in n
37.412 * [backup-simplify]: Simplify 1/6 into 1/6
37.412 * [taylor]: Taking taylor expansion of n in n
37.412 * [backup-simplify]: Simplify 0 into 0
37.413 * [backup-simplify]: Simplify 1 into 1
37.413 * [backup-simplify]: Simplify (* 1/6 0) into 0
37.413 * [backup-simplify]: Simplify 0 into 0
37.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.414 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 n)) into 0
37.414 * [taylor]: Taking taylor expansion of 0 in n
37.414 * [backup-simplify]: Simplify 0 into 0
37.414 * [backup-simplify]: Simplify 0 into 0
37.414 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
37.414 * [backup-simplify]: Simplify 1/6 into 1/6
37.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.416 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 n))) into 0
37.416 * [taylor]: Taking taylor expansion of 0 in n
37.416 * [backup-simplify]: Simplify 0 into 0
37.416 * [backup-simplify]: Simplify 0 into 0
37.416 * [backup-simplify]: Simplify 0 into 0
37.416 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
37.416 * [backup-simplify]: Simplify 0 into 0
37.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.418 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.418 * [taylor]: Taking taylor expansion of 0 in n
37.418 * [backup-simplify]: Simplify 0 into 0
37.418 * [backup-simplify]: Simplify 0 into 0
37.418 * [backup-simplify]: Simplify 0 into 0
37.418 * [backup-simplify]: Simplify 0 into 0
37.418 * [backup-simplify]: Simplify (* 1/6 (* n (pow i 2))) into (* 1/6 (* (pow i 2) n))
37.418 * [backup-simplify]: Simplify (* (* (* (/ 1 i) (/ 1 i)) (/ 1 n)) 1/6) into (/ 1/6 (* (pow i 2) n))
37.418 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in (i n) around 0
37.418 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in n
37.418 * [taylor]: Taking taylor expansion of 1/6 in n
37.418 * [backup-simplify]: Simplify 1/6 into 1/6
37.418 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.418 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.419 * [taylor]: Taking taylor expansion of i in n
37.419 * [backup-simplify]: Simplify i into i
37.419 * [taylor]: Taking taylor expansion of n in n
37.419 * [backup-simplify]: Simplify 0 into 0
37.419 * [backup-simplify]: Simplify 1 into 1
37.419 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.419 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.419 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.419 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.419 * [backup-simplify]: Simplify (/ 1/6 (pow i 2)) into (/ 1/6 (pow i 2))
37.419 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in i
37.419 * [taylor]: Taking taylor expansion of 1/6 in i
37.419 * [backup-simplify]: Simplify 1/6 into 1/6
37.419 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.419 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.419 * [taylor]: Taking taylor expansion of i in i
37.419 * [backup-simplify]: Simplify 0 into 0
37.419 * [backup-simplify]: Simplify 1 into 1
37.419 * [taylor]: Taking taylor expansion of n in i
37.419 * [backup-simplify]: Simplify n into n
37.419 * [backup-simplify]: Simplify (* 1 1) into 1
37.419 * [backup-simplify]: Simplify (* 1 n) into n
37.419 * [backup-simplify]: Simplify (/ 1/6 n) into (/ 1/6 n)
37.420 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in i
37.420 * [taylor]: Taking taylor expansion of 1/6 in i
37.420 * [backup-simplify]: Simplify 1/6 into 1/6
37.420 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.420 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.420 * [taylor]: Taking taylor expansion of i in i
37.420 * [backup-simplify]: Simplify 0 into 0
37.420 * [backup-simplify]: Simplify 1 into 1
37.420 * [taylor]: Taking taylor expansion of n in i
37.420 * [backup-simplify]: Simplify n into n
37.420 * [backup-simplify]: Simplify (* 1 1) into 1
37.420 * [backup-simplify]: Simplify (* 1 n) into n
37.420 * [backup-simplify]: Simplify (/ 1/6 n) into (/ 1/6 n)
37.420 * [taylor]: Taking taylor expansion of (/ 1/6 n) in n
37.420 * [taylor]: Taking taylor expansion of 1/6 in n
37.420 * [backup-simplify]: Simplify 1/6 into 1/6
37.420 * [taylor]: Taking taylor expansion of n in n
37.420 * [backup-simplify]: Simplify 0 into 0
37.420 * [backup-simplify]: Simplify 1 into 1
37.420 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6
37.420 * [backup-simplify]: Simplify 1/6 into 1/6
37.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.421 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1/6 n) (/ 0 n)))) into 0
37.421 * [taylor]: Taking taylor expansion of 0 in n
37.421 * [backup-simplify]: Simplify 0 into 0
37.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0
37.422 * [backup-simplify]: Simplify 0 into 0
37.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.423 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1/6 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.423 * [taylor]: Taking taylor expansion of 0 in n
37.423 * [backup-simplify]: Simplify 0 into 0
37.423 * [backup-simplify]: Simplify 0 into 0
37.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.423 * [backup-simplify]: Simplify 0 into 0
37.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.425 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1/6 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.425 * [taylor]: Taking taylor expansion of 0 in n
37.425 * [backup-simplify]: Simplify 0 into 0
37.425 * [backup-simplify]: Simplify 0 into 0
37.425 * [backup-simplify]: Simplify 0 into 0
37.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.425 * [backup-simplify]: Simplify 0 into 0
37.426 * [backup-simplify]: Simplify (* 1/6 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))) into (* 1/6 (* (pow i 2) n))
37.426 * [backup-simplify]: Simplify (* (* (* (/ 1 (- i)) (/ 1 (- i))) (/ 1 (- n))) 1/6) into (/ -1/6 (* (pow i 2) n))
37.426 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in (i n) around 0
37.426 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in n
37.426 * [taylor]: Taking taylor expansion of -1/6 in n
37.426 * [backup-simplify]: Simplify -1/6 into -1/6
37.426 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.426 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.426 * [taylor]: Taking taylor expansion of i in n
37.426 * [backup-simplify]: Simplify i into i
37.426 * [taylor]: Taking taylor expansion of n in n
37.426 * [backup-simplify]: Simplify 0 into 0
37.426 * [backup-simplify]: Simplify 1 into 1
37.426 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.426 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.426 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.426 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.426 * [backup-simplify]: Simplify (/ -1/6 (pow i 2)) into (/ -1/6 (pow i 2))
37.426 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in i
37.426 * [taylor]: Taking taylor expansion of -1/6 in i
37.426 * [backup-simplify]: Simplify -1/6 into -1/6
37.426 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.426 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.426 * [taylor]: Taking taylor expansion of i in i
37.426 * [backup-simplify]: Simplify 0 into 0
37.426 * [backup-simplify]: Simplify 1 into 1
37.426 * [taylor]: Taking taylor expansion of n in i
37.426 * [backup-simplify]: Simplify n into n
37.427 * [backup-simplify]: Simplify (* 1 1) into 1
37.427 * [backup-simplify]: Simplify (* 1 n) into n
37.427 * [backup-simplify]: Simplify (/ -1/6 n) into (/ -1/6 n)
37.427 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in i
37.427 * [taylor]: Taking taylor expansion of -1/6 in i
37.427 * [backup-simplify]: Simplify -1/6 into -1/6
37.427 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.427 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.427 * [taylor]: Taking taylor expansion of i in i
37.427 * [backup-simplify]: Simplify 0 into 0
37.427 * [backup-simplify]: Simplify 1 into 1
37.427 * [taylor]: Taking taylor expansion of n in i
37.427 * [backup-simplify]: Simplify n into n
37.427 * [backup-simplify]: Simplify (* 1 1) into 1
37.427 * [backup-simplify]: Simplify (* 1 n) into n
37.427 * [backup-simplify]: Simplify (/ -1/6 n) into (/ -1/6 n)
37.427 * [taylor]: Taking taylor expansion of (/ -1/6 n) in n
37.427 * [taylor]: Taking taylor expansion of -1/6 in n
37.427 * [backup-simplify]: Simplify -1/6 into -1/6
37.427 * [taylor]: Taking taylor expansion of n in n
37.427 * [backup-simplify]: Simplify 0 into 0
37.427 * [backup-simplify]: Simplify 1 into 1
37.428 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6
37.428 * [backup-simplify]: Simplify -1/6 into -1/6
37.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.428 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1/6 n) (/ 0 n)))) into 0
37.428 * [taylor]: Taking taylor expansion of 0 in n
37.428 * [backup-simplify]: Simplify 0 into 0
37.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0
37.429 * [backup-simplify]: Simplify 0 into 0
37.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.430 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1/6 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.430 * [taylor]: Taking taylor expansion of 0 in n
37.430 * [backup-simplify]: Simplify 0 into 0
37.430 * [backup-simplify]: Simplify 0 into 0
37.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.431 * [backup-simplify]: Simplify 0 into 0
37.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
37.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0
37.432 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1/6 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.432 * [taylor]: Taking taylor expansion of 0 in n
37.432 * [backup-simplify]: Simplify 0 into 0
37.432 * [backup-simplify]: Simplify 0 into 0
37.432 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
37.433 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify (* -1/6 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))) into (* 1/6 (* (pow i 2) n))
37.433 * * * * [progress]: [ 4 / 4 ] generating series at (2)
37.433 * [backup-simplify]: Simplify (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) into (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))
37.433 * [approximate]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in (i n) around 0
37.433 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n
37.433 * [taylor]: Taking taylor expansion of 100 in n
37.433 * [backup-simplify]: Simplify 100 into 100
37.433 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n
37.433 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n
37.433 * [taylor]: Taking taylor expansion of 1/6 in n
37.433 * [backup-simplify]: Simplify 1/6 into 1/6
37.433 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.433 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.433 * [taylor]: Taking taylor expansion of i in n
37.433 * [backup-simplify]: Simplify i into i
37.433 * [taylor]: Taking taylor expansion of n in n
37.433 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify 1 into 1
37.433 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n
37.433 * [taylor]: Taking taylor expansion of n in n
37.433 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify 1 into 1
37.433 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n
37.433 * [taylor]: Taking taylor expansion of 1/2 in n
37.433 * [backup-simplify]: Simplify 1/2 into 1/2
37.433 * [taylor]: Taking taylor expansion of (* i n) in n
37.433 * [taylor]: Taking taylor expansion of i in n
37.433 * [backup-simplify]: Simplify i into i
37.433 * [taylor]: Taking taylor expansion of n in n
37.433 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify 1 into 1
37.433 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i
37.433 * [taylor]: Taking taylor expansion of 100 in i
37.433 * [backup-simplify]: Simplify 100 into 100
37.433 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i
37.433 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.433 * [taylor]: Taking taylor expansion of 1/6 in i
37.433 * [backup-simplify]: Simplify 1/6 into 1/6
37.433 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.433 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.433 * [taylor]: Taking taylor expansion of i in i
37.433 * [backup-simplify]: Simplify 0 into 0
37.433 * [backup-simplify]: Simplify 1 into 1
37.433 * [taylor]: Taking taylor expansion of n in i
37.433 * [backup-simplify]: Simplify n into n
37.433 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i
37.434 * [taylor]: Taking taylor expansion of n in i
37.434 * [backup-simplify]: Simplify n into n
37.434 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i
37.434 * [taylor]: Taking taylor expansion of 1/2 in i
37.434 * [backup-simplify]: Simplify 1/2 into 1/2
37.434 * [taylor]: Taking taylor expansion of (* i n) in i
37.434 * [taylor]: Taking taylor expansion of i in i
37.434 * [backup-simplify]: Simplify 0 into 0
37.434 * [backup-simplify]: Simplify 1 into 1
37.434 * [taylor]: Taking taylor expansion of n in i
37.434 * [backup-simplify]: Simplify n into n
37.434 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i
37.434 * [taylor]: Taking taylor expansion of 100 in i
37.434 * [backup-simplify]: Simplify 100 into 100
37.434 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i
37.434 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i
37.434 * [taylor]: Taking taylor expansion of 1/6 in i
37.434 * [backup-simplify]: Simplify 1/6 into 1/6
37.434 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.434 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.434 * [taylor]: Taking taylor expansion of i in i
37.434 * [backup-simplify]: Simplify 0 into 0
37.434 * [backup-simplify]: Simplify 1 into 1
37.434 * [taylor]: Taking taylor expansion of n in i
37.434 * [backup-simplify]: Simplify n into n
37.434 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i
37.434 * [taylor]: Taking taylor expansion of n in i
37.434 * [backup-simplify]: Simplify n into n
37.434 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i
37.434 * [taylor]: Taking taylor expansion of 1/2 in i
37.434 * [backup-simplify]: Simplify 1/2 into 1/2
37.434 * [taylor]: Taking taylor expansion of (* i n) in i
37.434 * [taylor]: Taking taylor expansion of i in i
37.434 * [backup-simplify]: Simplify 0 into 0
37.434 * [backup-simplify]: Simplify 1 into 1
37.434 * [taylor]: Taking taylor expansion of n in i
37.434 * [backup-simplify]: Simplify n into n
37.434 * [backup-simplify]: Simplify (* 0 n) into 0
37.434 * [backup-simplify]: Simplify (* 1/2 0) into 0
37.434 * [backup-simplify]: Simplify (+ n 0) into n
37.434 * [backup-simplify]: Simplify (+ 0 n) into n
37.434 * [backup-simplify]: Simplify (* 100 n) into (* 100 n)
37.434 * [taylor]: Taking taylor expansion of (* 100 n) in n
37.434 * [taylor]: Taking taylor expansion of 100 in n
37.434 * [backup-simplify]: Simplify 100 into 100
37.434 * [taylor]: Taking taylor expansion of n in n
37.435 * [backup-simplify]: Simplify 0 into 0
37.435 * [backup-simplify]: Simplify 1 into 1
37.435 * [backup-simplify]: Simplify (* 100 0) into 0
37.435 * [backup-simplify]: Simplify 0 into 0
37.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.435 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n)
37.435 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n)
37.435 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n)
37.435 * [backup-simplify]: Simplify (+ (* 100 (* 1/2 n)) (* 0 n)) into (* 50 n)
37.435 * [taylor]: Taking taylor expansion of (* 50 n) in n
37.435 * [taylor]: Taking taylor expansion of 50 in n
37.436 * [backup-simplify]: Simplify 50 into 50
37.436 * [taylor]: Taking taylor expansion of n in n
37.436 * [backup-simplify]: Simplify 0 into 0
37.436 * [backup-simplify]: Simplify 1 into 1
37.436 * [backup-simplify]: Simplify (* 50 0) into 0
37.436 * [backup-simplify]: Simplify 0 into 0
37.436 * [backup-simplify]: Simplify (+ (* 100 1) (* 0 0)) into 100
37.436 * [backup-simplify]: Simplify 100 into 100
37.436 * [backup-simplify]: Simplify (* 1 1) into 1
37.437 * [backup-simplify]: Simplify (* 1 n) into n
37.437 * [backup-simplify]: Simplify (* 1/6 n) into (* 1/6 n)
37.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0
37.438 * [backup-simplify]: Simplify (+ 0 0) into 0
37.438 * [backup-simplify]: Simplify (+ (* 1/6 n) 0) into (* 1/6 n)
37.438 * [backup-simplify]: Simplify (+ (* 100 (* 1/6 n)) (+ (* 0 (* 1/2 n)) (* 0 n))) into (* 50/3 n)
37.438 * [taylor]: Taking taylor expansion of (* 50/3 n) in n
37.438 * [taylor]: Taking taylor expansion of 50/3 in n
37.438 * [backup-simplify]: Simplify 50/3 into 50/3
37.438 * [taylor]: Taking taylor expansion of n in n
37.438 * [backup-simplify]: Simplify 0 into 0
37.438 * [backup-simplify]: Simplify 1 into 1
37.438 * [backup-simplify]: Simplify (* 50/3 0) into 0
37.438 * [backup-simplify]: Simplify 0 into 0
37.439 * [backup-simplify]: Simplify (+ (* 50 1) (* 0 0)) into 50
37.439 * [backup-simplify]: Simplify 50 into 50
37.439 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0
37.439 * [backup-simplify]: Simplify 0 into 0
37.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.440 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 n)) into 0
37.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0
37.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0
37.442 * [backup-simplify]: Simplify (+ 0 0) into 0
37.442 * [backup-simplify]: Simplify (+ 0 0) into 0
37.442 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (* 1/6 n)) (+ (* 0 (* 1/2 n)) (* 0 n)))) into 0
37.442 * [taylor]: Taking taylor expansion of 0 in n
37.442 * [backup-simplify]: Simplify 0 into 0
37.442 * [backup-simplify]: Simplify 0 into 0
37.445 * [backup-simplify]: Simplify (+ (* 50/3 1) (* 0 0)) into 50/3
37.445 * [backup-simplify]: Simplify 50/3 into 50/3
37.445 * [backup-simplify]: Simplify (+ (* 50/3 (* n (pow i 2))) (+ (* 50 (* n i)) (* 100 (* n 1)))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
37.446 * [backup-simplify]: Simplify (* 100 (+ (* (* (* (/ 1 i) (/ 1 i)) (/ 1 n)) 1/6) (+ (* (* (/ 1 i) 1/2) (/ 1 n)) (/ 1 n)))) into (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))
37.446 * [approximate]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in (i n) around 0
37.446 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n
37.446 * [taylor]: Taking taylor expansion of 100 in n
37.446 * [backup-simplify]: Simplify 100 into 100
37.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n
37.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n
37.446 * [taylor]: Taking taylor expansion of 1/2 in n
37.446 * [backup-simplify]: Simplify 1/2 into 1/2
37.446 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n
37.446 * [taylor]: Taking taylor expansion of (* i n) in n
37.446 * [taylor]: Taking taylor expansion of i in n
37.446 * [backup-simplify]: Simplify i into i
37.446 * [taylor]: Taking taylor expansion of n in n
37.446 * [backup-simplify]: Simplify 0 into 0
37.446 * [backup-simplify]: Simplify 1 into 1
37.446 * [backup-simplify]: Simplify (* i 0) into 0
37.446 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
37.446 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
37.446 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n
37.446 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n
37.446 * [taylor]: Taking taylor expansion of 1/6 in n
37.446 * [backup-simplify]: Simplify 1/6 into 1/6
37.446 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n
37.446 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.446 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.446 * [taylor]: Taking taylor expansion of i in n
37.446 * [backup-simplify]: Simplify i into i
37.446 * [taylor]: Taking taylor expansion of n in n
37.446 * [backup-simplify]: Simplify 0 into 0
37.446 * [backup-simplify]: Simplify 1 into 1
37.446 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.447 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.447 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.447 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.447 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
37.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.447 * [taylor]: Taking taylor expansion of n in n
37.447 * [backup-simplify]: Simplify 0 into 0
37.447 * [backup-simplify]: Simplify 1 into 1
37.447 * [backup-simplify]: Simplify (/ 1 1) into 1
37.447 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i
37.447 * [taylor]: Taking taylor expansion of 100 in i
37.447 * [backup-simplify]: Simplify 100 into 100
37.447 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.447 * [taylor]: Taking taylor expansion of 1/2 in i
37.447 * [backup-simplify]: Simplify 1/2 into 1/2
37.447 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.447 * [taylor]: Taking taylor expansion of (* i n) in i
37.447 * [taylor]: Taking taylor expansion of i in i
37.447 * [backup-simplify]: Simplify 0 into 0
37.447 * [backup-simplify]: Simplify 1 into 1
37.447 * [taylor]: Taking taylor expansion of n in i
37.447 * [backup-simplify]: Simplify n into n
37.447 * [backup-simplify]: Simplify (* 0 n) into 0
37.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.448 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.448 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.448 * [taylor]: Taking taylor expansion of 1/6 in i
37.448 * [backup-simplify]: Simplify 1/6 into 1/6
37.448 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.448 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.448 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.448 * [taylor]: Taking taylor expansion of i in i
37.448 * [backup-simplify]: Simplify 0 into 0
37.448 * [backup-simplify]: Simplify 1 into 1
37.448 * [taylor]: Taking taylor expansion of n in i
37.448 * [backup-simplify]: Simplify n into n
37.448 * [backup-simplify]: Simplify (* 1 1) into 1
37.448 * [backup-simplify]: Simplify (* 1 n) into n
37.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.448 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.448 * [taylor]: Taking taylor expansion of n in i
37.448 * [backup-simplify]: Simplify n into n
37.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.448 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i
37.448 * [taylor]: Taking taylor expansion of 100 in i
37.448 * [backup-simplify]: Simplify 100 into 100
37.448 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.448 * [taylor]: Taking taylor expansion of 1/2 in i
37.448 * [backup-simplify]: Simplify 1/2 into 1/2
37.448 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.448 * [taylor]: Taking taylor expansion of (* i n) in i
37.448 * [taylor]: Taking taylor expansion of i in i
37.448 * [backup-simplify]: Simplify 0 into 0
37.448 * [backup-simplify]: Simplify 1 into 1
37.448 * [taylor]: Taking taylor expansion of n in i
37.448 * [backup-simplify]: Simplify n into n
37.449 * [backup-simplify]: Simplify (* 0 n) into 0
37.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.449 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.449 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.449 * [taylor]: Taking taylor expansion of 1/6 in i
37.449 * [backup-simplify]: Simplify 1/6 into 1/6
37.449 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.449 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.449 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.449 * [taylor]: Taking taylor expansion of i in i
37.449 * [backup-simplify]: Simplify 0 into 0
37.449 * [backup-simplify]: Simplify 1 into 1
37.449 * [taylor]: Taking taylor expansion of n in i
37.449 * [backup-simplify]: Simplify n into n
37.449 * [backup-simplify]: Simplify (* 1 1) into 1
37.449 * [backup-simplify]: Simplify (* 1 n) into n
37.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.449 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.449 * [taylor]: Taking taylor expansion of n in i
37.449 * [backup-simplify]: Simplify n into n
37.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.449 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n)
37.449 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n))
37.450 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ 1 n))) into (* 1/6 (/ 1 n))
37.450 * [backup-simplify]: Simplify (* 100 (* 1/6 (/ 1 n))) into (/ 50/3 n)
37.450 * [taylor]: Taking taylor expansion of (/ 50/3 n) in n
37.450 * [taylor]: Taking taylor expansion of 50/3 in n
37.450 * [backup-simplify]: Simplify 50/3 into 50/3
37.450 * [taylor]: Taking taylor expansion of n in n
37.450 * [backup-simplify]: Simplify 0 into 0
37.450 * [backup-simplify]: Simplify 1 into 1
37.450 * [backup-simplify]: Simplify (/ 50/3 1) into 50/3
37.450 * [backup-simplify]: Simplify 50/3 into 50/3
37.450 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n)
37.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.451 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 n))) into 0
37.451 * [backup-simplify]: Simplify (+ 0 0) into 0
37.451 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n))
37.451 * [backup-simplify]: Simplify (+ (* 100 (* 1/2 (/ 1 n))) (* 0 (* 1/6 (/ 1 n)))) into (* 50 (/ 1 n))
37.451 * [taylor]: Taking taylor expansion of (* 50 (/ 1 n)) in n
37.451 * [taylor]: Taking taylor expansion of 50 in n
37.451 * [backup-simplify]: Simplify 50 into 50
37.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.451 * [taylor]: Taking taylor expansion of n in n
37.451 * [backup-simplify]: Simplify 0 into 0
37.451 * [backup-simplify]: Simplify 1 into 1
37.452 * [backup-simplify]: Simplify (/ 1 1) into 1
37.452 * [backup-simplify]: Simplify (* 50 1) into 50
37.452 * [backup-simplify]: Simplify 50 into 50
37.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 50/3 (/ 0 1)))) into 0
37.452 * [backup-simplify]: Simplify 0 into 0
37.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0
37.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.455 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0
37.455 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.455 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.455 * [backup-simplify]: Simplify (+ (* 100 (/ 1 n)) (+ (* 0 (* 1/2 (/ 1 n))) (* 0 (* 1/6 (/ 1 n))))) into (* 100 (/ 1 n))
37.455 * [taylor]: Taking taylor expansion of (* 100 (/ 1 n)) in n
37.455 * [taylor]: Taking taylor expansion of 100 in n
37.455 * [backup-simplify]: Simplify 100 into 100
37.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.455 * [taylor]: Taking taylor expansion of n in n
37.455 * [backup-simplify]: Simplify 0 into 0
37.455 * [backup-simplify]: Simplify 1 into 1
37.455 * [backup-simplify]: Simplify (/ 1 1) into 1
37.456 * [backup-simplify]: Simplify (* 100 1) into 100
37.456 * [backup-simplify]: Simplify 100 into 100
37.456 * [backup-simplify]: Simplify (+ (* 100 (* (/ 1 (/ 1 n)) 1)) (+ (* 50 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 i)))) (* 50/3 (* (/ 1 (/ 1 n)) (pow (/ 1 i) -2))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
37.456 * [backup-simplify]: Simplify (* 100 (+ (* (* (* (/ 1 (- i)) (/ 1 (- i))) (/ 1 (- n))) 1/6) (+ (* (* (/ 1 (- i)) 1/2) (/ 1 (- n))) (/ 1 (- n))))) into (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))
37.456 * [approximate]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in (i n) around 0
37.456 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n
37.456 * [taylor]: Taking taylor expansion of 100 in n
37.456 * [backup-simplify]: Simplify 100 into 100
37.456 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n
37.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n
37.456 * [taylor]: Taking taylor expansion of 1/2 in n
37.456 * [backup-simplify]: Simplify 1/2 into 1/2
37.456 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n
37.456 * [taylor]: Taking taylor expansion of (* i n) in n
37.456 * [taylor]: Taking taylor expansion of i in n
37.456 * [backup-simplify]: Simplify i into i
37.456 * [taylor]: Taking taylor expansion of n in n
37.456 * [backup-simplify]: Simplify 0 into 0
37.456 * [backup-simplify]: Simplify 1 into 1
37.456 * [backup-simplify]: Simplify (* i 0) into 0
37.457 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
37.457 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
37.457 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n
37.457 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n
37.457 * [taylor]: Taking taylor expansion of 1/6 in n
37.457 * [backup-simplify]: Simplify 1/6 into 1/6
37.457 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n
37.457 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n
37.457 * [taylor]: Taking taylor expansion of (pow i 2) in n
37.457 * [taylor]: Taking taylor expansion of i in n
37.457 * [backup-simplify]: Simplify i into i
37.457 * [taylor]: Taking taylor expansion of n in n
37.457 * [backup-simplify]: Simplify 0 into 0
37.457 * [backup-simplify]: Simplify 1 into 1
37.457 * [backup-simplify]: Simplify (* i i) into (pow i 2)
37.457 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
37.457 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
37.457 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
37.457 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
37.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.457 * [taylor]: Taking taylor expansion of n in n
37.457 * [backup-simplify]: Simplify 0 into 0
37.457 * [backup-simplify]: Simplify 1 into 1
37.458 * [backup-simplify]: Simplify (/ 1 1) into 1
37.458 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i
37.458 * [taylor]: Taking taylor expansion of 100 in i
37.458 * [backup-simplify]: Simplify 100 into 100
37.458 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.458 * [taylor]: Taking taylor expansion of 1/2 in i
37.458 * [backup-simplify]: Simplify 1/2 into 1/2
37.458 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.458 * [taylor]: Taking taylor expansion of (* i n) in i
37.458 * [taylor]: Taking taylor expansion of i in i
37.458 * [backup-simplify]: Simplify 0 into 0
37.458 * [backup-simplify]: Simplify 1 into 1
37.458 * [taylor]: Taking taylor expansion of n in i
37.458 * [backup-simplify]: Simplify n into n
37.458 * [backup-simplify]: Simplify (* 0 n) into 0
37.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.458 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.458 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.458 * [taylor]: Taking taylor expansion of 1/6 in i
37.458 * [backup-simplify]: Simplify 1/6 into 1/6
37.458 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.458 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.458 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.458 * [taylor]: Taking taylor expansion of i in i
37.458 * [backup-simplify]: Simplify 0 into 0
37.458 * [backup-simplify]: Simplify 1 into 1
37.458 * [taylor]: Taking taylor expansion of n in i
37.458 * [backup-simplify]: Simplify n into n
37.459 * [backup-simplify]: Simplify (* 1 1) into 1
37.459 * [backup-simplify]: Simplify (* 1 n) into n
37.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.459 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.459 * [taylor]: Taking taylor expansion of n in i
37.459 * [backup-simplify]: Simplify n into n
37.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.459 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i
37.459 * [taylor]: Taking taylor expansion of 100 in i
37.459 * [backup-simplify]: Simplify 100 into 100
37.459 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i
37.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i
37.459 * [taylor]: Taking taylor expansion of 1/2 in i
37.459 * [backup-simplify]: Simplify 1/2 into 1/2
37.459 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i
37.459 * [taylor]: Taking taylor expansion of (* i n) in i
37.459 * [taylor]: Taking taylor expansion of i in i
37.459 * [backup-simplify]: Simplify 0 into 0
37.459 * [backup-simplify]: Simplify 1 into 1
37.459 * [taylor]: Taking taylor expansion of n in i
37.459 * [backup-simplify]: Simplify n into n
37.459 * [backup-simplify]: Simplify (* 0 n) into 0
37.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n
37.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.459 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i
37.459 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i
37.459 * [taylor]: Taking taylor expansion of 1/6 in i
37.459 * [backup-simplify]: Simplify 1/6 into 1/6
37.459 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i
37.459 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i
37.459 * [taylor]: Taking taylor expansion of (pow i 2) in i
37.459 * [taylor]: Taking taylor expansion of i in i
37.459 * [backup-simplify]: Simplify 0 into 0
37.459 * [backup-simplify]: Simplify 1 into 1
37.459 * [taylor]: Taking taylor expansion of n in i
37.459 * [backup-simplify]: Simplify n into n
37.460 * [backup-simplify]: Simplify (* 1 1) into 1
37.460 * [backup-simplify]: Simplify (* 1 n) into n
37.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.460 * [taylor]: Taking taylor expansion of (/ 1 n) in i
37.460 * [taylor]: Taking taylor expansion of n in i
37.460 * [backup-simplify]: Simplify n into n
37.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
37.460 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n)
37.460 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n))
37.460 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 n))) into (- (* 1/6 (/ 1 n)))
37.460 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 n)))) into (- (* 1/6 (/ 1 n)))
37.460 * [backup-simplify]: Simplify (* 100 (- (* 1/6 (/ 1 n)))) into (/ -50/3 n)
37.460 * [taylor]: Taking taylor expansion of (/ -50/3 n) in n
37.460 * [taylor]: Taking taylor expansion of -50/3 in n
37.460 * [backup-simplify]: Simplify -50/3 into -50/3
37.460 * [taylor]: Taking taylor expansion of n in n
37.460 * [backup-simplify]: Simplify 0 into 0
37.460 * [backup-simplify]: Simplify 1 into 1
37.460 * [backup-simplify]: Simplify (/ -50/3 1) into -50/3
37.460 * [backup-simplify]: Simplify -50/3 into -50/3
37.460 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n)
37.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
37.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 n)) into 0
37.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.461 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 n))) into 0
37.462 * [backup-simplify]: Simplify (+ 0 0) into 0
37.462 * [backup-simplify]: Simplify (- 0) into 0
37.462 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n))
37.462 * [backup-simplify]: Simplify (+ (* 100 (* 1/2 (/ 1 n))) (* 0 (- (* 1/6 (/ 1 n))))) into (* 50 (/ 1 n))
37.462 * [taylor]: Taking taylor expansion of (* 50 (/ 1 n)) in n
37.462 * [taylor]: Taking taylor expansion of 50 in n
37.462 * [backup-simplify]: Simplify 50 into 50
37.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.462 * [taylor]: Taking taylor expansion of n in n
37.462 * [backup-simplify]: Simplify 0 into 0
37.462 * [backup-simplify]: Simplify 1 into 1
37.462 * [backup-simplify]: Simplify (/ 1 1) into 1
37.463 * [backup-simplify]: Simplify (* 50 1) into 50
37.463 * [backup-simplify]: Simplify 50 into 50
37.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -50/3 (/ 0 1)))) into 0
37.463 * [backup-simplify]: Simplify 0 into 0
37.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0
37.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0
37.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0
37.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
37.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 n))) into 0
37.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0
37.466 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0
37.466 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n)
37.466 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n))
37.466 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n))
37.466 * [backup-simplify]: Simplify (+ (* 100 (- (/ 1 n))) (+ (* 0 (* 1/2 (/ 1 n))) (* 0 (- (* 1/6 (/ 1 n)))))) into (- (* 100 (/ 1 n)))
37.466 * [taylor]: Taking taylor expansion of (- (* 100 (/ 1 n))) in n
37.466 * [taylor]: Taking taylor expansion of (* 100 (/ 1 n)) in n
37.466 * [taylor]: Taking taylor expansion of 100 in n
37.466 * [backup-simplify]: Simplify 100 into 100
37.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n
37.466 * [taylor]: Taking taylor expansion of n in n
37.466 * [backup-simplify]: Simplify 0 into 0
37.466 * [backup-simplify]: Simplify 1 into 1
37.466 * [backup-simplify]: Simplify (/ 1 1) into 1
37.466 * [backup-simplify]: Simplify (* 100 1) into 100
37.467 * [backup-simplify]: Simplify (- 100) into -100
37.467 * [backup-simplify]: Simplify -100 into -100
37.467 * [backup-simplify]: Simplify (+ (* -100 (* (/ 1 (/ 1 (- n))) 1)) (+ (* 50 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- i))))) (* -50/3 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- i)) -2))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
37.467 * * * [progress]: simplifying candidates
37.467 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (pow (* (* i i) n) 1) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (pow (* (* i i) n) 1) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (pow (* (* i i) n) 1) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (exp (+ (+ (log i) (log i)) (log n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (exp (+ (log (* i i)) (log n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (exp (log (* (* i i) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (log (exp (* (* i i) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (cbrt (* (* (* (* i i) i) (* (* i i) i)) (* (* n n) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (cbrt (* (* (* (* i i) (* i i)) (* i i)) (* (* n n) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (cbrt (* (* i i) n)) (cbrt (* (* i i) n))) (cbrt (* (* i i) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (cbrt (* (* (* (* i i) n) (* (* i i) n)) (* (* i i) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.467 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (sqrt (* (* i i) n)) (sqrt (* (* i i) n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* 1 (* (* i i) n)) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* i (sqrt n)) (* i (sqrt n))) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) (* (cbrt n) (cbrt n))) (cbrt n)) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) (sqrt n)) (sqrt n)) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) 1) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* i (* i n)) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* n (* i i)) 1/6) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (* (exp (* (* (* i i) n) 1/6)) (* (exp (* (* i 1/2) n)) (exp n))))))>
37.468 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (* (exp (* (* (* i i) n) 1/6)) (exp (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (pow (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) 1)))>
37.468 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (exp (log (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (log (exp (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (cbrt (* (* (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (* (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.468 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (+ (pow (* (* (* i i) n) 1/6) 3) (pow (+ (* (* i 1/2) n) n) 3)) (+ (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (- (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n)) (* (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))))>
37.468 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (* 1 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.468 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (/ (- (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n))) (- (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.468 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (+ (* (* (* i i) n) 1/6) (* (* i 1/2) n)) n)))>
37.468 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (+ (* (* i 1/2) n) n) (* (* (* i i) n) 1/6))))>
37.468 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (pow (* (* (* i i) n) 1/6) 1) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (pow (* (* (* i i) n) 1/6) 1) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (pow (* (* (* i i) n) 1/6) 1) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (pow (* (* (* i i) n) 1/6) 1) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (exp (+ (+ (+ (log i) (log i)) (log n)) (log 1/6))) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (exp (+ (+ (log (* i i)) (log n)) (log 1/6))) (+ (* (* i 1/2) n) n))))>
37.468 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (exp (+ (log (* (* i i) n)) (log 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (exp (log (* (* (* i i) n) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (log (exp (* (* (* i i) n) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (cbrt (* (* (* (* (* i i) i) (* (* i i) i)) (* (* n n) n)) (* (* 1/6 1/6) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (cbrt (* (* (* (* (* i i) (* i i)) (* i i)) (* (* n n) n)) (* (* 1/6 1/6) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (cbrt (* (* (* (* (* i i) n) (* (* i i) n)) (* (* i i) n)) (* (* 1/6 1/6) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (cbrt (* (* (* i i) n) 1/6)) (cbrt (* (* (* i i) n) 1/6))) (cbrt (* (* (* i i) n) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (cbrt (* (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (* (* i i) n) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (sqrt (* (* (* i i) n) 1/6)) (sqrt (* (* (* i i) n) 1/6))) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1 (* (* (* i i) n) 1/6)) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) n) (* (cbrt 1/6) (cbrt 1/6))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) n) (sqrt 1/6)) (sqrt 1/6)) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (* (* i i) n) 1) 1/6) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* i i) (* n 1/6)) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (* i i) n)) (+ (* (* i 1/2) n) n))))>
37.469 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (i n) (pow (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) 1))>
37.469 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (i n) (pow (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) 1))>
37.469 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (i n) (exp (+ (log 100) (log (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (i n) (exp (log (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (i n) (log (exp (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 100) 100) (* (* (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (i n) (cbrt (* (* (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (i n) (* (sqrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (sqrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.469 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* (sqrt 100) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (* (sqrt 100) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.469 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (i n) (+ (* 100 (* (* (* i i) n) 1/6)) (* 100 (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (i n) (+ (* (* (* (* i i) n) 1/6) 100) (* (+ (* (* i 1/2) n) n) 100)))>
37.470 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.470 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* 100 (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.470 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* 100 1) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (cbrt 100) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.470 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (i n) (* (sqrt 100) (* (sqrt 100) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.470 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (i n) (* 1 (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))>
37.470 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (+ (pow (* (* (* i i) n) 1/6) 3) (pow (+ (* (* i 1/2) n) n) 3))) (+ (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (- (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n)) (* (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))>
37.470 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (i n) (/ (* 100 (- (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n)))) (- (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (i n) (* (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) 100))>
37.470 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (pow i 2) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (pow i 2) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* (* (pow i 2) n) 1/6) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))>
37.470 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))>
37.470 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))>
37.470 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (i n) (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ (* (* i 1/2) n) n))))>
37.470 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (i n) (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))))>
37.470 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (i n) (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))))>
37.470 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (i n) (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))))>
37.471 * [simplify]: Simplifying:
  (* (* i i) n)
  (* (* i i) n)
  (+ (+ (log i) (log i)) (log n))
  (+ (log (* i i)) (log n))
  (log (* (* i i) n))
  (exp (* (* i i) n))
  (* (* (* (* i i) i) (* (* i i) i)) (* (* n n) n))
  (* (* (* (* i i) (* i i)) (* i i)) (* (* n n) n))
  (* (cbrt (* (* i i) n)) (cbrt (* (* i i) n)))
  (cbrt (* (* i i) n))
  (* (* (* (* i i) n) (* (* i i) n)) (* (* i i) n))
  (sqrt (* (* i i) n))
  (sqrt (* (* i i) n))
  (* i (sqrt n))
  (* i (sqrt n))
  (* (* i i) (* (cbrt n) (cbrt n)))
  (* (* i i) (sqrt n))
  (* (* i i) 1)
  (* i n)
  (* (exp (* (* (* i i) n) 1/6)) (* (exp (* (* i 1/2) n)) (exp n)))
  (* (exp (* (* (* i i) n) 1/6)) (exp (+ (* (* i 1/2) n) n)))
  (log (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (exp (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (* (* (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (+ (pow (* (* (* i i) n) 1/6) 3) (pow (+ (* (* i 1/2) n) n) 3))
  (+ (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (- (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n)) (* (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (- (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n)))
  (- (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))
  (+ (* (* (* i i) n) 1/6) (* (* i 1/2) n))
  (* (* (* i i) n) 1/6)
  (* (* (* i i) n) 1/6)
  (* (* (* i i) n) 1/6)
  (+ (+ (+ (log i) (log i)) (log n)) (log 1/6))
  (+ (+ (log (* i i)) (log n)) (log 1/6))
  (+ (log (* (* i i) n)) (log 1/6))
  (log (* (* (* i i) n) 1/6))
  (exp (* (* (* i i) n) 1/6))
  (* (* (* (* (* i i) i) (* (* i i) i)) (* (* n n) n)) (* (* 1/6 1/6) 1/6))
  (* (* (* (* (* i i) (* i i)) (* i i)) (* (* n n) n)) (* (* 1/6 1/6) 1/6))
  (* (* (* (* (* i i) n) (* (* i i) n)) (* (* i i) n)) (* (* 1/6 1/6) 1/6))
  (* (cbrt (* (* (* i i) n) 1/6)) (cbrt (* (* (* i i) n) 1/6)))
  (cbrt (* (* (* i i) n) 1/6))
  (* (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (* (* i i) n) 1/6))
  (sqrt (* (* (* i i) n) 1/6))
  (sqrt (* (* (* i i) n) 1/6))
  (* (* (* i i) n) (* (cbrt 1/6) (cbrt 1/6)))
  (* (* (* i i) n) (sqrt 1/6))
  (* (* (* i i) n) 1)
  (* n 1/6)
  (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (+ (log 100) (log (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (log (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (exp (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* (* (* 100 100) 100) (* (* (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))
  (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* (* (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (sqrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (sqrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* (sqrt 100) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* (sqrt 100) (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* 100 (* (* (* i i) n) 1/6))
  (* 100 (+ (* (* i 1/2) n) n))
  (* (* (* (* i i) n) 1/6) 100)
  (* (+ (* (* i 1/2) n) n) 100)
  (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))
  (* 100 (sqrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))
  (* 100 1)
  (* (cbrt 100) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (* (sqrt 100) (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))
  (* 100 (+ (pow (* (* (* i i) n) 1/6) 3) (pow (+ (* (* i 1/2) n) n) 3)))
  (* 100 (- (* (* (* (* i i) n) 1/6) (* (* (* i i) n) 1/6)) (* (+ (* (* i 1/2) n) n) (+ (* (* i 1/2) n) n))))
  (* (pow i 2) n)
  (* (pow i 2) n)
  (* (pow i 2) n)
  (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
  (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
  (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))
  (* 1/6 (* (pow i 2) n))
  (* 1/6 (* (pow i 2) n))
  (* 1/6 (* (pow i 2) n))
  (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
  (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
  (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
37.472 * * [simplify]: iteration 1: (130 enodes)
37.502 * * [simplify]: iteration 2: (390 enodes)
37.871 * * [simplify]: iteration 3: (1648 enodes)
40.842 * * [simplify]: Extracting #0: cost 51 inf + 0
40.844 * * [simplify]: Extracting #1: cost 566 inf + 1
40.850 * * [simplify]: Extracting #2: cost 1829 inf + 4434
40.868 * * [simplify]: Extracting #3: cost 1992 inf + 53754
40.943 * * [simplify]: Extracting #4: cost 857 inf + 380029
41.092 * * [simplify]: Extracting #5: cost 42 inf + 649056
41.246 * * [simplify]: Extracting #6: cost 0 inf + 628236
41.399 * * [simplify]: Extracting #7: cost 0 inf + 627350
41.551 * [simplify]: Simplified to:
  (* i (* i n))
  (* i (* i n))
  (log (* i (* i n)))
  (log (* i (* i n)))
  (log (* i (* i n)))
  (exp (* i (* i n)))
  (* (* (* i (* i n)) (* i (* i n))) (* i (* i n)))
  (* (* (* i (* i n)) (* i (* i n))) (* i (* i n)))
  (* (cbrt (* i (* i n))) (cbrt (* i (* i n))))
  (cbrt (* i (* i n)))
  (* (* (* i (* i n)) (* i (* i n))) (* i (* i n)))
  (sqrt (* i (* i n)))
  (sqrt (* i (* i n)))
  (* i (sqrt n))
  (* i (sqrt n))
  (* (* i (cbrt n)) (* i (cbrt n)))
  (* i (* i (sqrt n)))
  (* i i)
  (* i n)
  (exp (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (exp (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (log (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (exp (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* (cbrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))) (cbrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (cbrt (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (+ n (* (* i n) (+ (* i 1/6) 1/2)))) (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (sqrt (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (sqrt (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n)))))
  (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n))))))
  (- (* (* 1/36 (* i (* i n))) (* i (* i n))) (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))))
  (- (* (* i n) (- (* i 1/6) 1/2)) n)
  (* (* i n) (+ (* i 1/6) 1/2))
  (* (* i 1/6) (* i n))
  (* (* i 1/6) (* i n))
  (* (* i 1/6) (* i n))
  (log (* (* i 1/6) (* i n)))
  (log (* (* i 1/6) (* i n)))
  (log (* (* i 1/6) (* i n)))
  (log (* (* i 1/6) (* i n)))
  (exp (* (* i 1/6) (* i n)))
  (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))
  (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))
  (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))
  (* (cbrt (* (* i 1/6) (* i n))) (cbrt (* (* i 1/6) (* i n))))
  (cbrt (* (* i 1/6) (* i n)))
  (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))
  (sqrt (* (* i 1/6) (* i n)))
  (sqrt (* (* i 1/6) (* i n)))
  (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i)))
  (* (* (sqrt 1/6) (* i n)) i)
  (* i (* i n))
  (* 1/6 n)
  (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (exp (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (* (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) 1000000) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (* (cbrt (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))) (cbrt (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))))
  (cbrt (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (* (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) 1000000) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (sqrt (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (sqrt (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  (* (sqrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))) 10)
  (* (sqrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))) 10)
  (* 50/3 (* i (* i n)))
  (* n (+ (* i 50) 100))
  (* 50/3 (* i (* i n)))
  (* n (+ (* i 50) 100))
  (* (* (cbrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))) (cbrt (+ n (* (* i n) (+ (* i 1/6) 1/2))))) 100)
  (* 100 (sqrt (+ n (* (* i n) (+ (* i 1/6) 1/2)))))
  100
  (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))
  (* 10 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) 100)
  (* (- (* (* 1/36 (* i (* i n))) (* i (* i n))) (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2)))) 100)
  (* i (* i n))
  (* i (* i n))
  (* i (* i n))
  (+ n (* (* i n) (+ (* i 1/6) 1/2)))
  (+ n (* (* i n) (+ (* i 1/6) 1/2)))
  (+ n (* (* i n) (+ (* i 1/6) 1/2)))
  (* (* i 1/6) (* i n))
  (* (* i 1/6) (* i n))
  (* (* i 1/6) (* i n))
  (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
  (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2))))
41.556 * * * [progress]: adding candidates to table
42.006 * [progress]: [Phase 3 of 3] Extracting.
42.007 * * [regime]: Finding splitpoints for: (#<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))> #<alt (λ (i n) 0)> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))))> #<alt (λ (i n) (* 100 (exp (log (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))))> #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))))> #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))> #<alt (λ (i n) (* 100 (- (* (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt n) (cbrt n)) (/ 1 (/ i (cbrt n)))))))> #<alt (λ (i n) (* 100 (/ (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n)))))))))> #<alt (λ (i n) (* 100 (- (* (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))> #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt (/ 1 (/ i n))) (cbrt (/ 1 (/ i n)))) (cbrt (/ 1 (/ i n)))))))> #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (sqrt n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n)))))))> #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))> #<alt (λ (i n) (* 100 (- (* (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))> #<alt (λ (i n) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt i) (cbrt i))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (exp (- (log (/ i n)))))))> #<alt (λ (i n) (exp (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (- (exp (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))) (/ 1 (/ i n)))))>)
42.011 * * * [regime-changes]: Trying 2 branch expressions: (n i)
42.011 * * * * [regimes]: Trying to branch on n from (#<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))> #<alt (λ (i n) 0)> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))))> #<alt (λ (i n) (* 100 (exp (log (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))))> #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))))> #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))> #<alt (λ (i n) (* 100 (- (* (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt n) (cbrt n)) (/ 1 (/ i (cbrt n)))))))> #<alt (λ (i n) (* 100 (/ (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n)))))))))> #<alt (λ (i n) (* 100 (- (* (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))> #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt (/ 1 (/ i n))) (cbrt (/ 1 (/ i n)))) (cbrt (/ 1 (/ i n)))))))> #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (sqrt n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n)))))))> #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))> #<alt (λ (i n) (* 100 (- (* (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))> #<alt (λ (i n) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt i) (cbrt i))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (exp (- (log (/ i n)))))))> #<alt (λ (i n) (exp (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (- (exp (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))) (/ 1 (/ i n)))))>)
42.154 * * * * [regimes]: Trying to branch on i from (#<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))> #<alt (λ (i n) 0)> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))))> #<alt (λ (i n) (* 100 (exp (log (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))))> #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))))> #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))> #<alt (λ (i n) (* 100 (- (* (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt n) (cbrt n)) (/ 1 (/ i (cbrt n)))))))> #<alt (λ (i n) (* 100 (/ (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n)))))))))> #<alt (λ (i n) (* 100 (- (* (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))> #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt (/ 1 (/ i n))) (cbrt (/ 1 (/ i n)))) (cbrt (/ 1 (/ i n)))))))> #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (sqrt n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n)))))))> #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))> #<alt (λ (i n) (* 100 (- (* (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))> #<alt (λ (i n) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt i) (cbrt i))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (exp (- (log (/ i n)))))))> #<alt (λ (i n) (exp (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (- (exp (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))) (/ 1 (/ i n)))))>)
42.265 * * * [regime]: Found split indices: #<option (#s(si 19 42) #s(si 20 69) #s(si 19 77) #s(si 4 90) #s(si 1 164) #s(si 19 255))>
42.266 * [binary-search]: Improving bounds with binary search for n and (#<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))> #<alt (λ (i n) 0)> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))))> #<alt (λ (i n) (* 100 (exp (log (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))))> #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))))> #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))> #<alt (λ (i n) (* 100 (- (* (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt n) (cbrt n)) (/ 1 (/ i (cbrt n)))))))> #<alt (λ (i n) (* 100 (/ (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n)))))))))> #<alt (λ (i n) (* 100 (- (* (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))> #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt (/ 1 (/ i n))) (cbrt (/ 1 (/ i n)))) (cbrt (/ 1 (/ i n)))))))> #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (sqrt n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n)))))))> #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))> #<alt (λ (i n) (* 100 (- (* (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))> #<alt (λ (i n) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt i) (cbrt i))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (exp (- (log (/ i n)))))))> #<alt (λ (i n) (exp (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (- (exp (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))) (/ 1 (/ i n)))))>)
42.722 * [regimes]: Found splitpoints: (#s(sp 19 n -1.3875157595860486e+126) #s(sp 20 n -1.7911077630361746e+47) #s(sp 19 n -9.669625897906558e+22) #s(sp 4 n -5.9286511822489366e-49) #s(sp 1 n 9.575664251285104e-135) #s(sp 19 n +nan.0)) , with alts (#<alt (λ (i n) (/ (* 100 (/ (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) 1) (+ (pow (+ 1 (/ i n)) n) 1))) (/ i n)))> #<alt (λ (i n) 0)> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))))> #<alt (λ (i n) (* 100 (exp (log (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))))> #<alt (λ (i n) (* (* (cbrt 100) (cbrt 100)) (* (+ n (* (* i n) (+ (* i 1/6) 1/2))) (cbrt 100))))> #<alt (λ (i n) (* (* 100 (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))))> #<alt (λ (i n) (* 100 (- (* (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt n) (cbrt n)) (/ 1 (/ i (cbrt n)))))))> #<alt (λ (i n) (* 100 (/ (+ (* (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (+ n (* (* i n) 1/2))) (* (* 1/216 (* i (* i n))) (* (* i (* i n)) (* i (* i n))))) (- (* (+ n (* (* i n) 1/2)) (+ n (* (* i n) 1/2))) (* (* (* i 1/6) (* i n)) (+ (* (* i n) 1/2) (- n (* (* i 1/6) (* i n)))))))))> #<alt (λ (i n) (* 100 (- (* (* (sqrt n) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (sqrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (* (+ (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))) (- (sqrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (/ 1 (sqrt (/ i n)))))))> #<alt (λ (i n) (* (* (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))) (cbrt (* 100 (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (* (* (cbrt (/ 1 (/ i n))) (cbrt (/ 1 (/ i n)))) (cbrt (/ 1 (/ i n)))))))> #<alt (λ (i n) (* 100 (* (/ 1 (/ 1 (sqrt n))) (- (/ (pow (+ 1 (/ i n)) n) (/ i (sqrt n))) (/ 1 (/ i (sqrt n)))))))> #<alt (λ (i n) (* 100 (* (* (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n)))) (cbrt (+ (* (* (* i i) n) 1/6) (+ (* (* i 1/2) n) n))))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ n i))))> #<alt (λ (i n) (* 100 (- (* (* (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n)) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (cbrt i)) (cbrt n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (/ (pow (+ 1 (/ i n)) n) (* (cbrt i) (cbrt i))) (/ (cbrt i) n)) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))> #<alt (λ (i n) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (* (/ 1 (* (cbrt i) (cbrt i))) (/ (pow (+ 1 (/ i n)) n) (/ (cbrt i) n))) (/ 1 (/ i n)))))> #<alt (λ (i n) (* 100 (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (exp (- (log (/ i n)))))))> #<alt (λ (i n) (exp (log (* 100 (+ n (* (* i n) (+ (* i 1/6) 1/2)))))))> #<alt (λ (i n) (* 100 (- (exp (- (* (log (+ 1 (/ i n))) n) (log (/ i n)))) (/ 1 (/ i n)))))>)
42.723 * [simplify]: Simplifying:
  (if (<= n -1.3875157595860486e+126) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))) (if (<= n -1.7911077630361746e+47) (* 100 (- (* (* (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (cbrt (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))) (if (<= n -9.669625897906558e+22) (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))) (if (<= n -5.9286511822489366e-49) (* 100 (* n (- (/ (pow (+ 1 (/ i n)) n) i) (/ 1 i)))) (if (<= n 9.575664251285104e-135) 0 (* 100 (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* i 1/2) n) n))))))))
42.723 * * [simplify]: iteration 1: (47 enodes)
42.725 * * [simplify]: iteration 2: (60 enodes)
42.727 * * [simplify]: Extracting #0: cost 1 inf + 0
42.727 * * [simplify]: Extracting #1: cost 4 inf + 0
42.727 * * [simplify]: Extracting #2: cost 11 inf + 0
42.727 * * [simplify]: Extracting #3: cost 14 inf + 3
42.727 * * [simplify]: Extracting #4: cost 20 inf + 138
42.727 * * [simplify]: Extracting #5: cost 30 inf + 139
42.727 * * [simplify]: Extracting #6: cost 30 inf + 291
42.727 * * [simplify]: Extracting #7: cost 23 inf + 1015
42.728 * * [simplify]: Extracting #8: cost 17 inf + 2422
42.728 * * [simplify]: Extracting #9: cost 13 inf + 3708
42.729 * * [simplify]: Extracting #10: cost 9 inf + 5320
42.729 * * [simplify]: Extracting #11: cost 6 inf + 7466
42.730 * * [simplify]: Extracting #12: cost 3 inf + 9862
42.731 * * [simplify]: Extracting #13: cost 1 inf + 12257
42.733 * * [simplify]: Extracting #14: cost 0 inf + 14169
42.735 * [simplify]: Simplified to:
  (if (<= n -1.3875157595860486e+126) (* (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* 1/2 i) n) n)) 100) (if (<= n -1.7911077630361746e+47) (* (- (* (cbrt (/ (pow (+ (/ i n) 1) n) (/ i n))) (* (cbrt (/ (pow (+ (/ i n) 1) n) (/ i n))) (cbrt (/ (pow (+ (/ i n) 1) n) (/ i n))))) (/ 1 (/ i n))) 100) (if (<= n -9.669625897906558e+22) (* (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* 1/2 i) n) n)) 100) (if (<= n -5.9286511822489366e-49) (* 100 (* (- (/ (pow (+ (/ i n) 1) n) i) (/ 1 i)) n)) (if (<= n 9.575664251285104e-135) 0 (* (+ (* (* n (* (* (cbrt 1/6) i) (* (cbrt 1/6) i))) (cbrt 1/6)) (+ (* (* 1/2 i) n) n)) 100))))))
50.821 * [regime-testing]: Baseline error score: 33.555939925335316
50.823 * [regime-testing]: Oracle error score: 10.893975451389354
50.828 * [regime-testing]: End program error score: 21.943429854079206
50.880 * [regime-testing]: Target error score: 41.846965974000774