29.598 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.293 * * * [progress]: [2/2] Setting up program. 0.296 * [progress]: [Phase 2 of 3] Improving. 0.296 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.297 * [simplify]: Simplifying: (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 0.297 * * [simplify]: iteration 0: 10 enodes 0.300 * * [simplify]: iteration 1: 28 enodes 0.306 * * [simplify]: iteration 2: 58 enodes 0.323 * * [simplify]: iteration 3: 154 enodes 0.399 * * [simplify]: iteration 4: 553 enodes 0.875 * * [simplify]: iteration 5: 2696 enodes 1.583 * * [simplify]: iteration complete: 5005 enodes 1.583 * * [simplify]: Extracting #0: cost 1 inf + 0 1.583 * * [simplify]: Extracting #1: cost 291 inf + 0 1.586 * * [simplify]: Extracting #2: cost 1347 inf + 170 1.594 * * [simplify]: Extracting #3: cost 1930 inf + 10163 1.621 * * [simplify]: Extracting #4: cost 1504 inf + 133002 1.710 * * [simplify]: Extracting #5: cost 414 inf + 700280 1.843 * * [simplify]: Extracting #6: cost 62 inf + 892824 1.982 * * [simplify]: Extracting #7: cost 14 inf + 896636 2.116 * * [simplify]: Extracting #8: cost 0 inf + 902207 2.274 * * [simplify]: Extracting #9: cost 0 inf + 901243 2.403 * [simplify]: Simplified to: (* (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) 100) 2.404 * * [progress]: iteration 1 / 4 2.404 * * * [progress]: picking best candidate 2.407 * * * * [pick]: Picked # 2.408 * * * [progress]: localizing error 2.427 * * * [progress]: generating rewritten candidates 2.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.019 * * * [progress]: generating series expansions 3.019 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.020 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) into (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) 3.020 * [approximate]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in (i n) around 0 3.020 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n 3.020 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n 3.020 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 3.020 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 3.020 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 3.020 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 3.020 * [taylor]: Taking taylor expansion of n in n 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 3.020 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 3.020 * [taylor]: Taking taylor expansion of (/ i n) in n 3.020 * [taylor]: Taking taylor expansion of i in n 3.020 * [backup-simplify]: Simplify i into i 3.020 * [taylor]: Taking taylor expansion of n in n 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (/ i 1) into i 3.020 * [taylor]: Taking taylor expansion of 1 in n 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (+ i 0) into i 3.021 * [backup-simplify]: Simplify (log i) into (log i) 3.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.021 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 3.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 1) into 1 3.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 3.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.024 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 3.024 * [backup-simplify]: Simplify (exp 0) into 1 3.024 * [taylor]: Taking taylor expansion of 1 in n 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of n in n 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of i in n 3.024 * [backup-simplify]: Simplify i into i 3.025 * [backup-simplify]: Simplify (- 1) into -1 3.025 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.026 * [backup-simplify]: Simplify (* 0 0) into 0 3.026 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 3.026 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [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)) 3.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.029 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) 3.030 * [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))))) 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [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))))) 3.031 * [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)) 3.031 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 3.031 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 3.031 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 3.031 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 3.031 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.031 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.031 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.031 * [taylor]: Taking taylor expansion of n in i 3.031 * [backup-simplify]: Simplify n into n 3.031 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.031 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.031 * [taylor]: Taking taylor expansion of (/ i n) in i 3.031 * [taylor]: Taking taylor expansion of i in i 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of n in i 3.031 * [backup-simplify]: Simplify n into n 3.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.031 * [taylor]: Taking taylor expansion of 1 in i 3.031 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (+ 0 1) into 1 3.032 * [backup-simplify]: Simplify (log 1) into 0 3.032 * [backup-simplify]: Simplify (* n 0) into 0 3.032 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.033 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.033 * [backup-simplify]: Simplify (exp 0) into 1 3.033 * [taylor]: Taking taylor expansion of 1 in i 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of n in i 3.033 * [backup-simplify]: Simplify n into n 3.033 * [taylor]: Taking taylor expansion of i in i 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (- 1) into -1 3.033 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.033 * [backup-simplify]: Simplify (* 0 n) into 0 3.034 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.034 * [backup-simplify]: Simplify (- 0) into 0 3.034 * [backup-simplify]: Simplify (+ 1 0) into 1 3.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.035 * [backup-simplify]: Simplify (/ n 1) into n 3.035 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 3.035 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 3.035 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 3.035 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.035 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.035 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.035 * [taylor]: Taking taylor expansion of n in i 3.035 * [backup-simplify]: Simplify n into n 3.035 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.035 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.035 * [taylor]: Taking taylor expansion of (/ i n) in i 3.035 * [taylor]: Taking taylor expansion of i in i 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [taylor]: Taking taylor expansion of n in i 3.035 * [backup-simplify]: Simplify n into n 3.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.035 * [taylor]: Taking taylor expansion of 1 in i 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [backup-simplify]: Simplify (+ 0 1) into 1 3.036 * [backup-simplify]: Simplify (log 1) into 0 3.036 * [backup-simplify]: Simplify (* n 0) into 0 3.036 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.036 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.036 * [backup-simplify]: Simplify (exp 0) into 1 3.036 * [taylor]: Taking taylor expansion of 1 in i 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [taylor]: Taking taylor expansion of n in i 3.036 * [backup-simplify]: Simplify n into n 3.036 * [taylor]: Taking taylor expansion of i in i 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (- 1) into -1 3.037 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.037 * [backup-simplify]: Simplify (* 0 n) into 0 3.038 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.038 * [backup-simplify]: Simplify (- 0) into 0 3.038 * [backup-simplify]: Simplify (+ 1 0) into 1 3.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.038 * [backup-simplify]: Simplify (/ n 1) into n 3.038 * [taylor]: Taking taylor expansion of n in n 3.038 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 3.040 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 3.041 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 3.041 * [backup-simplify]: Simplify (- 0) into 0 3.041 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 3.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2) 3.042 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 3.042 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n 3.042 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 3.042 * [taylor]: Taking taylor expansion of 1/2 in n 3.042 * [backup-simplify]: Simplify 1/2 into 1/2 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [taylor]: Taking taylor expansion of 1/2 in n 3.042 * [backup-simplify]: Simplify 1/2 into 1/2 3.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.043 * [backup-simplify]: Simplify (- 0) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [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)) 3.046 * [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))) 3.047 * [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))) 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.047 * [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))) 3.048 * [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) 3.049 * [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) 3.049 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n 3.049 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n 3.049 * [taylor]: Taking taylor expansion of (* 1/6 n) in n 3.049 * [taylor]: Taking taylor expansion of 1/6 in n 3.049 * [backup-simplify]: Simplify 1/6 into 1/6 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n 3.049 * [taylor]: Taking taylor expansion of 1/3 in n 3.049 * [backup-simplify]: Simplify 1/3 into 1/3 3.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of 1/2 in n 3.049 * [backup-simplify]: Simplify 1/2 into 1/2 3.050 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify (- 0) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [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) 3.055 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in (i n) around 0 3.055 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n 3.055 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n 3.055 * [taylor]: Taking taylor expansion of i in n 3.055 * [backup-simplify]: Simplify i into i 3.055 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 3.055 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 3.055 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 3.055 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 3.055 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.055 * [taylor]: Taking taylor expansion of n in n 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.056 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.056 * [taylor]: Taking taylor expansion of (/ n i) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [taylor]: Taking taylor expansion of i in n 3.056 * [backup-simplify]: Simplify i into i 3.056 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.056 * [taylor]: Taking taylor expansion of 1 in n 3.056 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (+ 0 1) into 1 3.057 * [backup-simplify]: Simplify (log 1) into 0 3.057 * [backup-simplify]: Simplify (* 1 0) into 0 3.057 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 3.059 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 3.059 * [taylor]: Taking taylor expansion of 1 in n 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of n in n 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (- 1) into -1 3.060 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 3.060 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 3.060 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 3.060 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 3.060 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 3.060 * [taylor]: Taking taylor expansion of i in i 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 3.060 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.060 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.060 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.060 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.060 * [taylor]: Taking taylor expansion of n in i 3.060 * [backup-simplify]: Simplify n into n 3.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.060 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.060 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.061 * [taylor]: Taking taylor expansion of (/ n i) in i 3.061 * [taylor]: Taking taylor expansion of n in i 3.061 * [backup-simplify]: Simplify n into n 3.061 * [taylor]: Taking taylor expansion of i in i 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (/ n 1) into n 3.061 * [taylor]: Taking taylor expansion of 1 in i 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ n 0) into n 3.061 * [backup-simplify]: Simplify (log n) into (log n) 3.061 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.061 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.062 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.062 * [taylor]: Taking taylor expansion of 1 in i 3.062 * [backup-simplify]: Simplify 1 into 1 3.062 * [taylor]: Taking taylor expansion of n in i 3.062 * [backup-simplify]: Simplify n into n 3.062 * [backup-simplify]: Simplify (- 1) into -1 3.062 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.062 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ 0 1) into 1 3.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.065 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.065 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 3.065 * [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)) 3.066 * [backup-simplify]: Simplify (- 0) into 0 3.066 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 3.066 * [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) 3.067 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 3.067 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 3.067 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 3.067 * [taylor]: Taking taylor expansion of i in i 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 3.067 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.067 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.067 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.067 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.067 * [taylor]: Taking taylor expansion of n in i 3.067 * [backup-simplify]: Simplify n into n 3.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.067 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.067 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.067 * [taylor]: Taking taylor expansion of (/ n i) in i 3.067 * [taylor]: Taking taylor expansion of n in i 3.067 * [backup-simplify]: Simplify n into n 3.067 * [taylor]: Taking taylor expansion of i in i 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (/ n 1) into n 3.067 * [taylor]: Taking taylor expansion of 1 in i 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (+ n 0) into n 3.067 * [backup-simplify]: Simplify (log n) into (log n) 3.068 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.068 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.068 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.068 * [taylor]: Taking taylor expansion of 1 in i 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of n in i 3.068 * [backup-simplify]: Simplify n into n 3.069 * [backup-simplify]: Simplify (- 1) into -1 3.069 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.069 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ 0 1) into 1 3.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.072 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 3.072 * [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)) 3.072 * [backup-simplify]: Simplify (- 0) into 0 3.073 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 3.073 * [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) 3.073 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 3.073 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n 3.073 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 3.073 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.073 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.073 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.073 * [taylor]: Taking taylor expansion of (log n) in n 3.073 * [taylor]: Taking taylor expansion of n in n 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (log 1) into 0 3.074 * [taylor]: Taking taylor expansion of (log i) in n 3.074 * [taylor]: Taking taylor expansion of i in n 3.074 * [backup-simplify]: Simplify i into i 3.074 * [backup-simplify]: Simplify (log i) into (log i) 3.074 * [taylor]: Taking taylor expansion of n in n 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.075 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.075 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.075 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.075 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.075 * [taylor]: Taking taylor expansion of 1 in n 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of n in n 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (- 1) into -1 3.076 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.076 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.076 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [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)) 3.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.080 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.080 * [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)))) 3.081 * [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))) 3.081 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [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)))) 3.083 * [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)) 3.083 * [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)) 3.083 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 3.083 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.083 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.083 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.083 * [taylor]: Taking taylor expansion of (log n) in n 3.083 * [taylor]: Taking taylor expansion of n in n 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (log 1) into 0 3.084 * [taylor]: Taking taylor expansion of (log i) in n 3.084 * [taylor]: Taking taylor expansion of i in n 3.084 * [backup-simplify]: Simplify i into i 3.084 * [backup-simplify]: Simplify (log i) into (log i) 3.084 * [taylor]: Taking taylor expansion of n in n 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.084 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.084 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.085 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.085 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.085 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.085 * [taylor]: Taking taylor expansion of n in n 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (* 1 1) into 1 3.086 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.092 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [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)) 3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.099 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.100 * [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))) 3.100 * [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))))) 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [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)))) 3.103 * [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)))) 3.104 * [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)))) 3.104 * [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 3.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 3.104 * [taylor]: Taking taylor expansion of 1/2 in n 3.104 * [backup-simplify]: Simplify 1/2 into 1/2 3.104 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 3.104 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.104 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.104 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.104 * [taylor]: Taking taylor expansion of (log n) in n 3.104 * [taylor]: Taking taylor expansion of n in n 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (log 1) into 0 3.113 * [taylor]: Taking taylor expansion of (log i) in n 3.113 * [taylor]: Taking taylor expansion of i in n 3.113 * [backup-simplify]: Simplify i into i 3.114 * [backup-simplify]: Simplify (log i) into (log i) 3.114 * [taylor]: Taking taylor expansion of n in n 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.115 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.115 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.115 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.115 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.115 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.115 * [taylor]: Taking taylor expansion of n in n 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 3.117 * [taylor]: Taking taylor expansion of 1/2 in n 3.117 * [backup-simplify]: Simplify 1/2 into 1/2 3.117 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 3.117 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.117 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.117 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.117 * [taylor]: Taking taylor expansion of (log n) in n 3.117 * [taylor]: Taking taylor expansion of n in n 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (log 1) into 0 3.118 * [taylor]: Taking taylor expansion of (log i) in n 3.118 * [taylor]: Taking taylor expansion of i in n 3.118 * [backup-simplify]: Simplify i into i 3.118 * [backup-simplify]: Simplify (log i) into (log i) 3.118 * [taylor]: Taking taylor expansion of n in n 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.118 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.118 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.118 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.119 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.119 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (* 1 1) into 1 3.119 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 3.151 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.156 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [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)) 3.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.163 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.163 * [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)))) 3.163 * [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)))))) 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.164 * [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))))) 3.166 * [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)))) 3.167 * [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)))) 3.167 * [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 3.167 * [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 3.167 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 3.167 * [taylor]: Taking taylor expansion of 1/6 in n 3.167 * [backup-simplify]: Simplify 1/6 into 1/6 3.167 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 3.167 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.167 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.167 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.167 * [taylor]: Taking taylor expansion of (log n) in n 3.167 * [taylor]: Taking taylor expansion of n in n 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (log 1) into 0 3.167 * [taylor]: Taking taylor expansion of (log i) in n 3.167 * [taylor]: Taking taylor expansion of i in n 3.167 * [backup-simplify]: Simplify i into i 3.167 * [backup-simplify]: Simplify (log i) into (log i) 3.167 * [taylor]: Taking taylor expansion of n in n 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.168 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.168 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.168 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.168 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.168 * [taylor]: Taking taylor expansion of (pow n 7) in n 3.168 * [taylor]: Taking taylor expansion of n in n 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* 1 1) into 1 3.168 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.169 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 3.169 * [taylor]: Taking taylor expansion of 1/3 in n 3.169 * [backup-simplify]: Simplify 1/3 into 1/3 3.169 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 3.169 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.169 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.169 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.169 * [taylor]: Taking taylor expansion of (log n) in n 3.169 * [taylor]: Taking taylor expansion of n in n 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (log 1) into 0 3.169 * [taylor]: Taking taylor expansion of (log i) in n 3.169 * [taylor]: Taking taylor expansion of i in n 3.169 * [backup-simplify]: Simplify i into i 3.169 * [backup-simplify]: Simplify (log i) into (log i) 3.169 * [taylor]: Taking taylor expansion of n in n 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.170 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.170 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.170 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.170 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.170 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.170 * [taylor]: Taking taylor expansion of n in n 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.171 * [backup-simplify]: Simplify (* 1 1) into 1 3.171 * [backup-simplify]: Simplify (* 1 1) into 1 3.171 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 3.171 * [taylor]: Taking taylor expansion of 1/2 in n 3.171 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 3.171 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.171 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.171 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.171 * [taylor]: Taking taylor expansion of (log n) in n 3.171 * [taylor]: Taking taylor expansion of n in n 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (log 1) into 0 3.171 * [taylor]: Taking taylor expansion of (log i) in n 3.171 * [taylor]: Taking taylor expansion of i in n 3.171 * [backup-simplify]: Simplify i into i 3.171 * [backup-simplify]: Simplify (log i) into (log i) 3.171 * [taylor]: Taking taylor expansion of n in n 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.172 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.172 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.172 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.172 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.172 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.195 * [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 3.197 * [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 3.198 * [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 3.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.241 * [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 3.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 3.244 * [backup-simplify]: Simplify (- 0) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (* (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) 3.245 * [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) 3.245 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in (i n) around 0 3.245 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n 3.245 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n 3.245 * [taylor]: Taking taylor expansion of i in n 3.245 * [backup-simplify]: Simplify i into i 3.245 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 3.245 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 3.245 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 3.245 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 3.245 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.245 * [taylor]: Taking taylor expansion of -1 in n 3.245 * [backup-simplify]: Simplify -1 into -1 3.245 * [taylor]: Taking taylor expansion of n in n 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (/ -1 1) into -1 3.246 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.246 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.246 * [taylor]: Taking taylor expansion of (/ n i) in n 3.246 * [taylor]: Taking taylor expansion of n in n 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [taylor]: Taking taylor expansion of i in n 3.246 * [backup-simplify]: Simplify i into i 3.246 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.246 * [taylor]: Taking taylor expansion of 1 in n 3.246 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (+ 0 1) into 1 3.247 * [backup-simplify]: Simplify (log 1) into 0 3.247 * [backup-simplify]: Simplify (* -1 0) into 0 3.247 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 3.250 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 3.250 * [taylor]: Taking taylor expansion of 1 in n 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [taylor]: Taking taylor expansion of n in n 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (- 1) into -1 3.251 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) 3.251 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1)) 3.251 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1)) 3.251 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 3.251 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 3.251 * [taylor]: Taking taylor expansion of i in i 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 3.251 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.251 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.251 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.251 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.251 * [taylor]: Taking taylor expansion of -1 in i 3.251 * [backup-simplify]: Simplify -1 into -1 3.251 * [taylor]: Taking taylor expansion of n in i 3.251 * [backup-simplify]: Simplify n into n 3.251 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.251 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.251 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.251 * [taylor]: Taking taylor expansion of (/ n i) in i 3.251 * [taylor]: Taking taylor expansion of n in i 3.252 * [backup-simplify]: Simplify n into n 3.252 * [taylor]: Taking taylor expansion of i in i 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (/ n 1) into n 3.252 * [taylor]: Taking taylor expansion of 1 in i 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (+ n 0) into n 3.252 * [backup-simplify]: Simplify (log n) into (log n) 3.252 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.252 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.253 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.253 * [taylor]: Taking taylor expansion of 1 in i 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [taylor]: Taking taylor expansion of n in i 3.253 * [backup-simplify]: Simplify n into n 3.253 * [backup-simplify]: Simplify (- 1) into -1 3.253 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.254 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ 0 1) into 1 3.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.255 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 3.256 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.256 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 3.256 * [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))) 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.257 * [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))) 3.258 * [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) 3.258 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 3.258 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 3.258 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 3.258 * [taylor]: Taking taylor expansion of i in i 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 3.258 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.258 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.258 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.258 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.258 * [taylor]: Taking taylor expansion of -1 in i 3.258 * [backup-simplify]: Simplify -1 into -1 3.258 * [taylor]: Taking taylor expansion of n in i 3.258 * [backup-simplify]: Simplify n into n 3.258 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.258 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.258 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.258 * [taylor]: Taking taylor expansion of (/ n i) in i 3.258 * [taylor]: Taking taylor expansion of n in i 3.258 * [backup-simplify]: Simplify n into n 3.258 * [taylor]: Taking taylor expansion of i in i 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (/ n 1) into n 3.259 * [taylor]: Taking taylor expansion of 1 in i 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (+ n 0) into n 3.259 * [backup-simplify]: Simplify (log n) into (log n) 3.259 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.259 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.260 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.260 * [taylor]: Taking taylor expansion of 1 in i 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [taylor]: Taking taylor expansion of n in i 3.260 * [backup-simplify]: Simplify n into n 3.260 * [backup-simplify]: Simplify (- 1) into -1 3.260 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.260 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 3.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (+ 0 1) into 1 3.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.263 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 3.263 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.263 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 3.264 * [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))) 3.264 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [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))) 3.265 * [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) 3.265 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 3.265 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n 3.265 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 3.265 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.265 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.265 * [taylor]: Taking taylor expansion of -1 in n 3.265 * [backup-simplify]: Simplify -1 into -1 3.265 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.265 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.265 * [taylor]: Taking taylor expansion of (log n) in n 3.265 * [taylor]: Taking taylor expansion of n in n 3.265 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (log 1) into 0 3.266 * [taylor]: Taking taylor expansion of (log i) in n 3.266 * [taylor]: Taking taylor expansion of i in n 3.266 * [backup-simplify]: Simplify i into i 3.266 * [backup-simplify]: Simplify (log i) into (log i) 3.266 * [taylor]: Taking taylor expansion of n in n 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.267 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.267 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.267 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.267 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.267 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.267 * [taylor]: Taking taylor expansion of 1 in n 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [taylor]: Taking taylor expansion of n in n 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (- 1) into -1 3.268 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.268 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.268 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ 0 0) into 0 3.272 * [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)) 3.272 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.273 * [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))) 3.273 * [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))))) 3.274 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [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)))) 3.275 * [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))) 3.276 * [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))) 3.276 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 3.276 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 3.276 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.276 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.276 * [taylor]: Taking taylor expansion of -1 in n 3.276 * [backup-simplify]: Simplify -1 into -1 3.276 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.276 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.276 * [taylor]: Taking taylor expansion of (log n) in n 3.276 * [taylor]: Taking taylor expansion of n in n 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (log 1) into 0 3.277 * [taylor]: Taking taylor expansion of (log i) in n 3.277 * [taylor]: Taking taylor expansion of i in n 3.277 * [backup-simplify]: Simplify i into i 3.277 * [backup-simplify]: Simplify (log i) into (log i) 3.277 * [taylor]: Taking taylor expansion of n in n 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.277 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.278 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.278 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.278 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.278 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.278 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.278 * [taylor]: Taking taylor expansion of n in n 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.284 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (- 0) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [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)) 3.289 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.289 * [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)))) 3.290 * [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))))))) 3.290 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [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)))))) 3.291 * [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)))) 3.292 * [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)))) 3.292 * [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 3.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 3.292 * [taylor]: Taking taylor expansion of 1/2 in n 3.292 * [backup-simplify]: Simplify 1/2 into 1/2 3.292 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 3.292 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.292 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.292 * [taylor]: Taking taylor expansion of -1 in n 3.292 * [backup-simplify]: Simplify -1 into -1 3.292 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.292 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.292 * [taylor]: Taking taylor expansion of (log n) in n 3.292 * [taylor]: Taking taylor expansion of n in n 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (log 1) into 0 3.292 * [taylor]: Taking taylor expansion of (log i) in n 3.292 * [taylor]: Taking taylor expansion of i in n 3.292 * [backup-simplify]: Simplify i into i 3.292 * [backup-simplify]: Simplify (log i) into (log i) 3.292 * [taylor]: Taking taylor expansion of n in n 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.293 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.293 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.293 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.293 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.293 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.293 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.293 * [taylor]: Taking taylor expansion of n in n 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 3.294 * [taylor]: Taking taylor expansion of 1/2 in n 3.294 * [backup-simplify]: Simplify 1/2 into 1/2 3.294 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 3.294 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.294 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.294 * [taylor]: Taking taylor expansion of -1 in n 3.294 * [backup-simplify]: Simplify -1 into -1 3.294 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.294 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.294 * [taylor]: Taking taylor expansion of (log n) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (log 1) into 0 3.294 * [taylor]: Taking taylor expansion of (log i) in n 3.294 * [taylor]: Taking taylor expansion of i in n 3.294 * [backup-simplify]: Simplify i into i 3.295 * [backup-simplify]: Simplify (log i) into (log i) 3.295 * [taylor]: Taking taylor expansion of n in n 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.295 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.295 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.295 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.295 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.295 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.295 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.295 * [taylor]: Taking taylor expansion of n in n 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [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 3.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [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)) 3.325 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.326 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.326 * [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))) 3.327 * [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))))))) 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.327 * [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)))))) 3.329 * [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)))))) 3.330 * [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)))))) 3.330 * [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 3.330 * [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 3.331 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 3.331 * [taylor]: Taking taylor expansion of 1/6 in n 3.331 * [backup-simplify]: Simplify 1/6 into 1/6 3.331 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 3.331 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.331 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.331 * [taylor]: Taking taylor expansion of -1 in n 3.331 * [backup-simplify]: Simplify -1 into -1 3.331 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.331 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.331 * [taylor]: Taking taylor expansion of (log n) in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (log 1) into 0 3.333 * [taylor]: Taking taylor expansion of (log i) in n 3.333 * [taylor]: Taking taylor expansion of i in n 3.333 * [backup-simplify]: Simplify i into i 3.333 * [backup-simplify]: Simplify (log i) into (log i) 3.333 * [taylor]: Taking taylor expansion of n in n 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.333 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.333 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.334 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.334 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.334 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.334 * [taylor]: Taking taylor expansion of (pow n 7) in n 3.334 * [taylor]: Taking taylor expansion of n in n 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (* 1 1) into 1 3.335 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.335 * [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 3.335 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 3.335 * [taylor]: Taking taylor expansion of 1/3 in n 3.335 * [backup-simplify]: Simplify 1/3 into 1/3 3.335 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 3.335 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.335 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.335 * [taylor]: Taking taylor expansion of -1 in n 3.335 * [backup-simplify]: Simplify -1 into -1 3.335 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.335 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.335 * [taylor]: Taking taylor expansion of (log n) in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (log 1) into 0 3.336 * [taylor]: Taking taylor expansion of (log i) in n 3.336 * [taylor]: Taking taylor expansion of i in n 3.336 * [backup-simplify]: Simplify i into i 3.336 * [backup-simplify]: Simplify (log i) into (log i) 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.336 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.336 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.336 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.336 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.336 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.336 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 3.337 * [taylor]: Taking taylor expansion of 1/2 in n 3.337 * [backup-simplify]: Simplify 1/2 into 1/2 3.337 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 3.337 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.337 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.337 * [taylor]: Taking taylor expansion of -1 in n 3.337 * [backup-simplify]: Simplify -1 into -1 3.337 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.337 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.337 * [taylor]: Taking taylor expansion of (log n) in n 3.337 * [taylor]: Taking taylor expansion of n in n 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (log 1) into 0 3.338 * [taylor]: Taking taylor expansion of (log i) in n 3.338 * [taylor]: Taking taylor expansion of i in n 3.338 * [backup-simplify]: Simplify i into i 3.338 * [backup-simplify]: Simplify (log i) into (log i) 3.338 * [taylor]: Taking taylor expansion of n in n 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.338 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.338 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.338 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.338 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.338 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.338 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.338 * [taylor]: Taking taylor expansion of n in n 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [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 3.366 * [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 3.368 * [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 3.369 * [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 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [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 3.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [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 3.406 * [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 3.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (- 0) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [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) 3.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.409 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n) 3.409 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0 3.409 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 3.410 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 3.410 * [taylor]: Taking taylor expansion of n in n 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 3.410 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 3.410 * [taylor]: Taking taylor expansion of (/ i n) in n 3.410 * [taylor]: Taking taylor expansion of i in n 3.410 * [backup-simplify]: Simplify i into i 3.410 * [taylor]: Taking taylor expansion of n in n 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (/ i 1) into i 3.410 * [taylor]: Taking taylor expansion of 1 in n 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (+ i 0) into i 3.410 * [backup-simplify]: Simplify (log i) into (log i) 3.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.411 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 1) into 1 3.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 3.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.413 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 3.413 * [backup-simplify]: Simplify (exp 0) into 1 3.414 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.414 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.414 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.414 * [taylor]: Taking taylor expansion of n in i 3.415 * [backup-simplify]: Simplify n into n 3.415 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.415 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.415 * [taylor]: Taking taylor expansion of (/ i n) in i 3.415 * [taylor]: Taking taylor expansion of i in i 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of n in i 3.415 * [backup-simplify]: Simplify n into n 3.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.415 * [taylor]: Taking taylor expansion of 1 in i 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (+ 0 1) into 1 3.416 * [backup-simplify]: Simplify (log 1) into 0 3.416 * [backup-simplify]: Simplify (* n 0) into 0 3.416 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.417 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.417 * [backup-simplify]: Simplify (exp 0) into 1 3.417 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.417 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.417 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.417 * [taylor]: Taking taylor expansion of n in i 3.417 * [backup-simplify]: Simplify n into n 3.417 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.417 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.417 * [taylor]: Taking taylor expansion of (/ i n) in i 3.417 * [taylor]: Taking taylor expansion of i in i 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [taylor]: Taking taylor expansion of n in i 3.417 * [backup-simplify]: Simplify n into n 3.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.417 * [taylor]: Taking taylor expansion of 1 in i 3.417 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (+ 0 1) into 1 3.418 * [backup-simplify]: Simplify (log 1) into 0 3.418 * [backup-simplify]: Simplify (* n 0) into 0 3.418 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.419 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.419 * [backup-simplify]: Simplify (exp 0) into 1 3.419 * [taylor]: Taking taylor expansion of 1 in n 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.420 * [taylor]: Taking taylor expansion of 1 in n 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 3.421 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [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)) 3.423 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 3.424 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 3.424 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n 3.424 * [taylor]: Taking taylor expansion of 1/2 in n 3.424 * [backup-simplify]: Simplify 1/2 into 1/2 3.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.424 * [taylor]: Taking taylor expansion of 1/2 in n 3.424 * [backup-simplify]: Simplify 1/2 into 1/2 3.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.424 * [taylor]: Taking taylor expansion of n in n 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.426 * [backup-simplify]: Simplify (- 0) into 0 3.427 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.427 * [backup-simplify]: Simplify 1/2 into 1/2 3.427 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1)) 3.427 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n)) 3.427 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0 3.427 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 3.428 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 3.428 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 3.428 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.428 * [taylor]: Taking taylor expansion of n in n 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (/ 1 1) into 1 3.428 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.428 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.428 * [taylor]: Taking taylor expansion of (/ n i) in n 3.428 * [taylor]: Taking taylor expansion of n in n 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [taylor]: Taking taylor expansion of i in n 3.428 * [backup-simplify]: Simplify i into i 3.428 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.428 * [taylor]: Taking taylor expansion of 1 in n 3.428 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (+ 0 1) into 1 3.429 * [backup-simplify]: Simplify (log 1) into 0 3.429 * [backup-simplify]: Simplify (* 1 0) into 0 3.429 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 3.431 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 3.431 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.431 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.431 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.431 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.431 * [taylor]: Taking taylor expansion of n in i 3.431 * [backup-simplify]: Simplify n into n 3.431 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.431 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.431 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.431 * [taylor]: Taking taylor expansion of (/ n i) in i 3.431 * [taylor]: Taking taylor expansion of n in i 3.431 * [backup-simplify]: Simplify n into n 3.432 * [taylor]: Taking taylor expansion of i in i 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ n 1) into n 3.432 * [taylor]: Taking taylor expansion of 1 in i 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (+ n 0) into n 3.432 * [backup-simplify]: Simplify (log n) into (log n) 3.432 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.432 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.432 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.432 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.432 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.432 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.432 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.433 * [taylor]: Taking taylor expansion of n in i 3.433 * [backup-simplify]: Simplify n into n 3.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.433 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.433 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.433 * [taylor]: Taking taylor expansion of (/ n i) in i 3.433 * [taylor]: Taking taylor expansion of n in i 3.433 * [backup-simplify]: Simplify n into n 3.433 * [taylor]: Taking taylor expansion of i in i 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ n 1) into n 3.433 * [taylor]: Taking taylor expansion of 1 in i 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (+ n 0) into n 3.433 * [backup-simplify]: Simplify (log n) into (log n) 3.433 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.433 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.434 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.434 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.434 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.434 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.434 * [taylor]: Taking taylor expansion of (log n) in n 3.434 * [taylor]: Taking taylor expansion of n in n 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (log 1) into 0 3.434 * [taylor]: Taking taylor expansion of (log i) in n 3.434 * [taylor]: Taking taylor expansion of i in n 3.434 * [backup-simplify]: Simplify i into i 3.434 * [backup-simplify]: Simplify (log i) into (log i) 3.434 * [taylor]: Taking taylor expansion of n in n 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.435 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.435 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.435 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.435 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.435 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (+ 0 1) into 1 3.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.438 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 3.438 * [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)) 3.438 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n 3.438 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.438 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.438 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.438 * [taylor]: Taking taylor expansion of (log n) in n 3.438 * [taylor]: Taking taylor expansion of n in n 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (log 1) into 0 3.439 * [taylor]: Taking taylor expansion of (log i) in n 3.439 * [taylor]: Taking taylor expansion of i in n 3.439 * [backup-simplify]: Simplify i into i 3.439 * [backup-simplify]: Simplify (log i) into (log i) 3.439 * [taylor]: Taking taylor expansion of n in n 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.439 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.439 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.439 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.440 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.440 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.440 * [taylor]: Taking taylor expansion of n in n 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (* 1 1) into 1 3.440 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [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)) 3.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.450 * [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)))) 3.450 * [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))) 3.450 * [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 3.450 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n 3.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 3.450 * [taylor]: Taking taylor expansion of 1/2 in n 3.451 * [backup-simplify]: Simplify 1/2 into 1/2 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 3.451 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.451 * [taylor]: Taking taylor expansion of n in n 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 3.452 * [taylor]: Taking taylor expansion of 1/2 in n 3.452 * [backup-simplify]: Simplify 1/2 into 1/2 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.452 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.452 * [taylor]: Taking taylor expansion of n in n 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.453 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.453 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.453 * [taylor]: Taking taylor expansion of (log n) in n 3.453 * [taylor]: Taking taylor expansion of n in n 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (log 1) into 0 3.454 * [taylor]: Taking taylor expansion of (log i) in n 3.454 * [taylor]: Taking taylor expansion of i in n 3.454 * [backup-simplify]: Simplify i into i 3.454 * [backup-simplify]: Simplify (log i) into (log i) 3.454 * [taylor]: Taking taylor expansion of n in n 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.454 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.454 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.454 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.455 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.455 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.455 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.459 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.459 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.476 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (- 0) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.489 * [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)) 3.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.490 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.491 * [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))) 3.491 * [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))))) 3.491 * [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 3.491 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.491 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.491 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.491 * [taylor]: Taking taylor expansion of (log n) in n 3.492 * [taylor]: Taking taylor expansion of n in n 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (log 1) into 0 3.492 * [taylor]: Taking taylor expansion of (log i) in n 3.492 * [taylor]: Taking taylor expansion of i in n 3.492 * [backup-simplify]: Simplify i into i 3.492 * [backup-simplify]: Simplify (log i) into (log i) 3.492 * [taylor]: Taking taylor expansion of n in n 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.493 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.493 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.493 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.493 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.493 * [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 3.493 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n 3.493 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 3.493 * [taylor]: Taking taylor expansion of 1/6 in n 3.493 * [backup-simplify]: Simplify 1/6 into 1/6 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 3.493 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 3.495 * [taylor]: Taking taylor expansion of 1/3 in n 3.495 * [backup-simplify]: Simplify 1/3 into 1/3 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 3.495 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.495 * [taylor]: Taking taylor expansion of n in n 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (* 1 1) into 1 3.496 * [backup-simplify]: Simplify (* 1 1) into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 3.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 3.496 * [taylor]: Taking taylor expansion of 1/2 in n 3.496 * [backup-simplify]: Simplify 1/2 into 1/2 3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 3.496 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.496 * [taylor]: Taking taylor expansion of n in n 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.498 * [backup-simplify]: Simplify (* 1 1) into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.538 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.559 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.567 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.573 * [backup-simplify]: Simplify (- 0) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 3.575 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.575 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.576 * [backup-simplify]: Simplify (- 0) into 0 3.577 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.578 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.579 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.579 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.582 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 3.582 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 3.583 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 3.585 * [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 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 3.585 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n)) 3.585 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0 3.585 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 3.585 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 3.585 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 3.585 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.586 * [taylor]: Taking taylor expansion of -1 in n 3.586 * [backup-simplify]: Simplify -1 into -1 3.586 * [taylor]: Taking taylor expansion of n in n 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (/ -1 1) into -1 3.586 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.586 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.586 * [taylor]: Taking taylor expansion of (/ n i) in n 3.586 * [taylor]: Taking taylor expansion of n in n 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of i in n 3.586 * [backup-simplify]: Simplify i into i 3.586 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.586 * [taylor]: Taking taylor expansion of 1 in n 3.586 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (+ 0 1) into 1 3.587 * [backup-simplify]: Simplify (log 1) into 0 3.588 * [backup-simplify]: Simplify (* -1 0) into 0 3.588 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 3.590 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 3.590 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.590 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.590 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.590 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.590 * [taylor]: Taking taylor expansion of -1 in i 3.590 * [backup-simplify]: Simplify -1 into -1 3.590 * [taylor]: Taking taylor expansion of n in i 3.590 * [backup-simplify]: Simplify n into n 3.590 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.590 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.590 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.590 * [taylor]: Taking taylor expansion of (/ n i) in i 3.590 * [taylor]: Taking taylor expansion of n in i 3.590 * [backup-simplify]: Simplify n into n 3.591 * [taylor]: Taking taylor expansion of i in i 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (/ n 1) into n 3.591 * [taylor]: Taking taylor expansion of 1 in i 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (+ n 0) into n 3.591 * [backup-simplify]: Simplify (log n) into (log n) 3.591 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.591 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.592 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.592 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.592 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.592 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.592 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.592 * [taylor]: Taking taylor expansion of -1 in i 3.592 * [backup-simplify]: Simplify -1 into -1 3.592 * [taylor]: Taking taylor expansion of n in i 3.592 * [backup-simplify]: Simplify n into n 3.592 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.592 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.592 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.592 * [taylor]: Taking taylor expansion of (/ n i) in i 3.592 * [taylor]: Taking taylor expansion of n in i 3.592 * [backup-simplify]: Simplify n into n 3.592 * [taylor]: Taking taylor expansion of i in i 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (/ n 1) into n 3.592 * [taylor]: Taking taylor expansion of 1 in i 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (+ n 0) into n 3.592 * [backup-simplify]: Simplify (log n) into (log n) 3.593 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.593 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.593 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.593 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.593 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.593 * [taylor]: Taking taylor expansion of -1 in n 3.593 * [backup-simplify]: Simplify -1 into -1 3.593 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.593 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.593 * [taylor]: Taking taylor expansion of (log n) in n 3.593 * [taylor]: Taking taylor expansion of n in n 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (log 1) into 0 3.594 * [taylor]: Taking taylor expansion of (log i) in n 3.594 * [taylor]: Taking taylor expansion of i in n 3.594 * [backup-simplify]: Simplify i into i 3.594 * [backup-simplify]: Simplify (log i) into (log i) 3.594 * [taylor]: Taking taylor expansion of n in n 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.595 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.595 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.595 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.595 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.595 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.595 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 1) into 1 3.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.598 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 3.598 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.598 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 3.599 * [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))) 3.599 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n 3.599 * [taylor]: Taking taylor expansion of -1 in n 3.599 * [backup-simplify]: Simplify -1 into -1 3.599 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n 3.599 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.599 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.599 * [taylor]: Taking taylor expansion of -1 in n 3.599 * [backup-simplify]: Simplify -1 into -1 3.599 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.599 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.599 * [taylor]: Taking taylor expansion of (log n) in n 3.599 * [taylor]: Taking taylor expansion of n in n 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (log 1) into 0 3.599 * [taylor]: Taking taylor expansion of (log i) in n 3.599 * [taylor]: Taking taylor expansion of i in n 3.599 * [backup-simplify]: Simplify i into i 3.599 * [backup-simplify]: Simplify (log i) into (log i) 3.600 * [taylor]: Taking taylor expansion of n in n 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.600 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.600 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.600 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.600 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.601 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.601 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.601 * [taylor]: Taking taylor expansion of n in n 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* 1 1) into 1 3.601 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [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)) 3.610 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.611 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.611 * [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))) 3.611 * [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))))) 3.611 * [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 3.612 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.612 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.612 * [taylor]: Taking taylor expansion of -1 in n 3.612 * [backup-simplify]: Simplify -1 into -1 3.612 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.612 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.612 * [taylor]: Taking taylor expansion of (log n) in n 3.612 * [taylor]: Taking taylor expansion of n in n 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (log 1) into 0 3.612 * [taylor]: Taking taylor expansion of (log i) in n 3.612 * [taylor]: Taking taylor expansion of i in n 3.612 * [backup-simplify]: Simplify i into i 3.612 * [backup-simplify]: Simplify (log i) into (log i) 3.612 * [taylor]: Taking taylor expansion of n in n 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.613 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.613 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.613 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.613 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.613 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n 3.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 3.613 * [taylor]: Taking taylor expansion of 1/2 in n 3.613 * [backup-simplify]: Simplify 1/2 into 1/2 3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.614 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.614 * [taylor]: Taking taylor expansion of n in n 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.615 * [backup-simplify]: Simplify (/ 1 1) into 1 3.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 3.615 * [taylor]: Taking taylor expansion of 1/2 in n 3.615 * [backup-simplify]: Simplify 1/2 into 1/2 3.615 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 3.615 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.615 * [taylor]: Taking taylor expansion of n in n 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (* 1 1) into 1 3.616 * [backup-simplify]: Simplify (* 1 1) into 1 3.616 * [backup-simplify]: Simplify (/ 1 1) into 1 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.643 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.643 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.644 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [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)) 3.653 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.654 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.654 * [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)))) 3.655 * [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))))))) 3.655 * [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 3.655 * [taylor]: Taking taylor expansion of -1 in n 3.655 * [backup-simplify]: Simplify -1 into -1 3.655 * [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 3.655 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.655 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.655 * [taylor]: Taking taylor expansion of -1 in n 3.655 * [backup-simplify]: Simplify -1 into -1 3.655 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.655 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.655 * [taylor]: Taking taylor expansion of (log n) in n 3.655 * [taylor]: Taking taylor expansion of n in n 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (log 1) into 0 3.656 * [taylor]: Taking taylor expansion of (log i) in n 3.656 * [taylor]: Taking taylor expansion of i in n 3.656 * [backup-simplify]: Simplify i into i 3.656 * [backup-simplify]: Simplify (log i) into (log i) 3.656 * [taylor]: Taking taylor expansion of n in n 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.656 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.656 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.657 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.657 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.657 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.657 * [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 3.657 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 3.657 * [taylor]: Taking taylor expansion of 1/6 in n 3.657 * [backup-simplify]: Simplify 1/6 into 1/6 3.657 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 3.657 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.657 * [taylor]: Taking taylor expansion of n in n 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n 3.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 3.658 * [taylor]: Taking taylor expansion of 1/2 in n 3.659 * [backup-simplify]: Simplify 1/2 into 1/2 3.659 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 3.659 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.659 * [taylor]: Taking taylor expansion of n in n 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (* 1 1) into 1 3.659 * [backup-simplify]: Simplify (* 1 1) into 1 3.660 * [backup-simplify]: Simplify (* 1 1) into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 3.660 * [taylor]: Taking taylor expansion of 1/3 in n 3.660 * [backup-simplify]: Simplify 1/3 into 1/3 3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 3.660 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.660 * [taylor]: Taking taylor expansion of n in n 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.718 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.718 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.719 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.719 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 3.720 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.720 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.721 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.721 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 3.722 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 3.723 * [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 3.725 * [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 3.726 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0 3.728 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0 3.728 * [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)))) 3.729 * [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)))) 3.729 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n)))) 3.731 * [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 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 3.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.732 * [backup-simplify]: Simplify (- (pow (+ 1 (/ i n)) n) 1) into (- (pow (+ (/ i n) 1) n) 1) 3.732 * [approximate]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in (i n) around 0 3.732 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 3.732 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 3.732 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 3.732 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 3.732 * [taylor]: Taking taylor expansion of n in n 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 3.732 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 3.732 * [taylor]: Taking taylor expansion of (/ i n) in n 3.732 * [taylor]: Taking taylor expansion of i in n 3.732 * [backup-simplify]: Simplify i into i 3.732 * [taylor]: Taking taylor expansion of n in n 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (/ i 1) into i 3.732 * [taylor]: Taking taylor expansion of 1 in n 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (+ i 0) into i 3.732 * [backup-simplify]: Simplify (log i) into (log i) 3.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.733 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 3.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 3.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 3.736 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 3.736 * [backup-simplify]: Simplify (exp 0) into 1 3.736 * [taylor]: Taking taylor expansion of 1 in n 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 3.736 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.736 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.736 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.736 * [taylor]: Taking taylor expansion of n in i 3.736 * [backup-simplify]: Simplify n into n 3.736 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.736 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.736 * [taylor]: Taking taylor expansion of (/ i n) in i 3.736 * [taylor]: Taking taylor expansion of i in i 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of n in i 3.736 * [backup-simplify]: Simplify n into n 3.736 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.736 * [taylor]: Taking taylor expansion of 1 in i 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (+ 0 1) into 1 3.737 * [backup-simplify]: Simplify (log 1) into 0 3.737 * [backup-simplify]: Simplify (* n 0) into 0 3.737 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.738 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.738 * [backup-simplify]: Simplify (exp 0) into 1 3.738 * [taylor]: Taking taylor expansion of 1 in i 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 3.738 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 3.738 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 3.738 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 3.738 * [taylor]: Taking taylor expansion of n in i 3.738 * [backup-simplify]: Simplify n into n 3.738 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 3.738 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 3.738 * [taylor]: Taking taylor expansion of (/ i n) in i 3.739 * [taylor]: Taking taylor expansion of i in i 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of n in i 3.739 * [backup-simplify]: Simplify n into n 3.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.739 * [taylor]: Taking taylor expansion of 1 in i 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (+ 0 1) into 1 3.739 * [backup-simplify]: Simplify (log 1) into 0 3.740 * [backup-simplify]: Simplify (* n 0) into 0 3.740 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 3.741 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 3.741 * [backup-simplify]: Simplify (exp 0) into 1 3.741 * [taylor]: Taking taylor expansion of 1 in i 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (- 1) into -1 3.742 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.742 * [taylor]: Taking taylor expansion of 0 in n 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.743 * [backup-simplify]: Simplify (- 0) into 0 3.744 * [backup-simplify]: Simplify (+ 1 0) into 1 3.744 * [taylor]: Taking taylor expansion of 1 in n 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [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)) 3.747 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 3.747 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 3.748 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 3.748 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n 3.748 * [taylor]: Taking taylor expansion of 1/2 in n 3.748 * [backup-simplify]: Simplify 1/2 into 1/2 3.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.748 * [taylor]: Taking taylor expansion of 1/2 in n 3.748 * [backup-simplify]: Simplify 1/2 into 1/2 3.748 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.748 * [taylor]: Taking taylor expansion of n in n 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.750 * [backup-simplify]: Simplify (- 0) into 0 3.750 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.750 * [backup-simplify]: Simplify 1/2 into 1/2 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.751 * [backup-simplify]: Simplify (+ 0 0) into 0 3.752 * [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)) 3.753 * [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))) 3.754 * [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))) 3.754 * [backup-simplify]: Simplify (- 0) into 0 3.754 * [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))) 3.754 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n 3.754 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n 3.754 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n 3.754 * [taylor]: Taking taylor expansion of 1/3 in n 3.754 * [backup-simplify]: Simplify 1/3 into 1/3 3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.754 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [taylor]: Taking taylor expansion of 1/6 in n 3.755 * [backup-simplify]: Simplify 1/6 into 1/6 3.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.755 * [taylor]: Taking taylor expansion of 1/2 in n 3.755 * [backup-simplify]: Simplify 1/2 into 1/2 3.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.755 * [taylor]: Taking taylor expansion of n in n 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.758 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.759 * [backup-simplify]: Simplify (- 0) into 0 3.759 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 3.759 * [backup-simplify]: Simplify 1/6 into 1/6 3.760 * [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)))) 3.760 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) into (- (pow (+ (/ n i) 1) (/ 1 n)) 1) 3.760 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in (i n) around 0 3.760 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 3.760 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 3.760 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 3.760 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 3.760 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.760 * [taylor]: Taking taylor expansion of n in n 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (/ 1 1) into 1 3.760 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.760 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.760 * [taylor]: Taking taylor expansion of (/ n i) in n 3.760 * [taylor]: Taking taylor expansion of n in n 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of i in n 3.760 * [backup-simplify]: Simplify i into i 3.760 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.760 * [taylor]: Taking taylor expansion of 1 in n 3.760 * [backup-simplify]: Simplify 1 into 1 3.761 * [backup-simplify]: Simplify (+ 0 1) into 1 3.761 * [backup-simplify]: Simplify (log 1) into 0 3.761 * [backup-simplify]: Simplify (* 1 0) into 0 3.761 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 3.762 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 3.762 * [taylor]: Taking taylor expansion of 1 in n 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 3.762 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.762 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.762 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.762 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.762 * [taylor]: Taking taylor expansion of n in i 3.762 * [backup-simplify]: Simplify n into n 3.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.762 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.762 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.762 * [taylor]: Taking taylor expansion of (/ n i) in i 3.763 * [taylor]: Taking taylor expansion of n in i 3.763 * [backup-simplify]: Simplify n into n 3.763 * [taylor]: Taking taylor expansion of i in i 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (/ n 1) into n 3.763 * [taylor]: Taking taylor expansion of 1 in i 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (+ n 0) into n 3.763 * [backup-simplify]: Simplify (log n) into (log n) 3.763 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.763 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.763 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.763 * [taylor]: Taking taylor expansion of 1 in i 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 3.763 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 3.763 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 3.763 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 3.763 * [taylor]: Taking taylor expansion of (/ 1 n) in i 3.763 * [taylor]: Taking taylor expansion of n in i 3.763 * [backup-simplify]: Simplify n into n 3.763 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.763 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.763 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.763 * [taylor]: Taking taylor expansion of (/ n i) in i 3.763 * [taylor]: Taking taylor expansion of n in i 3.763 * [backup-simplify]: Simplify n into n 3.763 * [taylor]: Taking taylor expansion of i in i 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (/ n 1) into n 3.763 * [taylor]: Taking taylor expansion of 1 in i 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (+ n 0) into n 3.764 * [backup-simplify]: Simplify (log n) into (log n) 3.764 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.764 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 3.764 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.764 * [taylor]: Taking taylor expansion of 1 in i 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (- 1) into -1 3.764 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.764 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 3.764 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.764 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.764 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.764 * [taylor]: Taking taylor expansion of (log n) in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (log 1) into 0 3.765 * [taylor]: Taking taylor expansion of (log i) in n 3.765 * [taylor]: Taking taylor expansion of i in n 3.765 * [backup-simplify]: Simplify i into i 3.765 * [backup-simplify]: Simplify (log i) into (log i) 3.765 * [taylor]: Taking taylor expansion of n in n 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.765 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.765 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.765 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.765 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.765 * [taylor]: Taking taylor expansion of 1 in n 3.765 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (- 1) into -1 3.766 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.766 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 3.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.767 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.768 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 3.768 * [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)) 3.768 * [backup-simplify]: Simplify (- 0) into 0 3.768 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 3.768 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n 3.768 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.768 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.768 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.768 * [taylor]: Taking taylor expansion of (log n) in n 3.768 * [taylor]: Taking taylor expansion of n in n 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (log 1) into 0 3.768 * [taylor]: Taking taylor expansion of (log i) in n 3.769 * [taylor]: Taking taylor expansion of i in n 3.769 * [backup-simplify]: Simplify i into i 3.769 * [backup-simplify]: Simplify (log i) into (log i) 3.769 * [taylor]: Taking taylor expansion of n in n 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.769 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.769 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.769 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.769 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.769 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.769 * [taylor]: Taking taylor expansion of n in n 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (* 1 1) into 1 3.770 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (- 0) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [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)) 3.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.775 * [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)))) 3.775 * [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))) 3.776 * [backup-simplify]: Simplify (- 0) into 0 3.776 * [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)))) 3.776 * [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 3.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 3.776 * [taylor]: Taking taylor expansion of 1/2 in n 3.776 * [backup-simplify]: Simplify 1/2 into 1/2 3.776 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 3.776 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.776 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.776 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.776 * [taylor]: Taking taylor expansion of (log n) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (log 1) into 0 3.776 * [taylor]: Taking taylor expansion of (log i) in n 3.776 * [taylor]: Taking taylor expansion of i in n 3.776 * [backup-simplify]: Simplify i into i 3.776 * [backup-simplify]: Simplify (log i) into (log i) 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.777 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.777 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.777 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.777 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.777 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.777 * [taylor]: Taking taylor expansion of n in n 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (* 1 1) into 1 3.777 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n 3.778 * [taylor]: Taking taylor expansion of 1/2 in n 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 3.778 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 3.778 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.778 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.778 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.778 * [taylor]: Taking taylor expansion of (log n) in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (log 1) into 0 3.778 * [taylor]: Taking taylor expansion of (log i) in n 3.778 * [taylor]: Taking taylor expansion of i in n 3.778 * [backup-simplify]: Simplify i into i 3.778 * [backup-simplify]: Simplify (log i) into (log i) 3.778 * [taylor]: Taking taylor expansion of n in n 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.778 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.778 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.779 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.779 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.779 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.808 * [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)) 3.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.809 * [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))) 3.810 * [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))))) 3.810 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [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)))) 3.811 * [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 3.811 * [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 3.811 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 3.811 * [taylor]: Taking taylor expansion of 1/3 in n 3.811 * [backup-simplify]: Simplify 1/3 into 1/3 3.811 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 3.811 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.811 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.811 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.811 * [taylor]: Taking taylor expansion of (log n) in n 3.811 * [taylor]: Taking taylor expansion of n in n 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (log 1) into 0 3.812 * [taylor]: Taking taylor expansion of (log i) in n 3.812 * [taylor]: Taking taylor expansion of i in n 3.812 * [backup-simplify]: Simplify i into i 3.812 * [backup-simplify]: Simplify (log i) into (log i) 3.812 * [taylor]: Taking taylor expansion of n in n 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.812 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.812 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.812 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.812 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.812 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.812 * [taylor]: Taking taylor expansion of n in n 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.814 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 3.814 * [taylor]: Taking taylor expansion of 1/6 in n 3.814 * [backup-simplify]: Simplify 1/6 into 1/6 3.814 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 3.814 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.814 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.814 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.814 * [taylor]: Taking taylor expansion of (log n) in n 3.814 * [taylor]: Taking taylor expansion of n in n 3.814 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (log 1) into 0 3.815 * [taylor]: Taking taylor expansion of (log i) in n 3.815 * [taylor]: Taking taylor expansion of i in n 3.815 * [backup-simplify]: Simplify i into i 3.815 * [backup-simplify]: Simplify (log i) into (log i) 3.815 * [taylor]: Taking taylor expansion of n in n 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.815 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.815 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.815 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.815 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.815 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.815 * [taylor]: Taking taylor expansion of n in n 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (* 1 1) into 1 3.816 * [backup-simplify]: Simplify (* 1 1) into 1 3.816 * [backup-simplify]: Simplify (* 1 1) into 1 3.816 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 3.816 * [taylor]: Taking taylor expansion of 1/2 in n 3.816 * [backup-simplify]: Simplify 1/2 into 1/2 3.816 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 3.816 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 3.816 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.816 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.816 * [taylor]: Taking taylor expansion of (log n) in n 3.816 * [taylor]: Taking taylor expansion of n in n 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (log 1) into 0 3.817 * [taylor]: Taking taylor expansion of (log i) in n 3.817 * [taylor]: Taking taylor expansion of i in n 3.817 * [backup-simplify]: Simplify i into i 3.817 * [backup-simplify]: Simplify (log i) into (log i) 3.817 * [taylor]: Taking taylor expansion of n in n 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.817 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.817 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.817 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.817 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 3.817 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.817 * [taylor]: Taking taylor expansion of n in n 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (* 1 1) into 1 3.818 * [backup-simplify]: Simplify (* 1 1) into 1 3.818 * [backup-simplify]: Simplify (* 1 1) into 1 3.818 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.845 * [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 3.847 * [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 3.849 * [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 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.864 * [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 3.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 3.866 * [backup-simplify]: Simplify (- 0) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) 3.866 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) into (- (pow (+ (/ n i) 1) (/ -1 n)) 1) 3.866 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in (i n) around 0 3.866 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 3.866 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 3.866 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 3.866 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 3.866 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.866 * [taylor]: Taking taylor expansion of -1 in n 3.866 * [backup-simplify]: Simplify -1 into -1 3.867 * [taylor]: Taking taylor expansion of n in n 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ -1 1) into -1 3.867 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 3.867 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 3.867 * [taylor]: Taking taylor expansion of (/ n i) in n 3.867 * [taylor]: Taking taylor expansion of n in n 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [taylor]: Taking taylor expansion of i in n 3.867 * [backup-simplify]: Simplify i into i 3.867 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 3.867 * [taylor]: Taking taylor expansion of 1 in n 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (+ 0 1) into 1 3.868 * [backup-simplify]: Simplify (log 1) into 0 3.868 * [backup-simplify]: Simplify (* -1 0) into 0 3.868 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 3.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 3.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 3.869 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 3.869 * [taylor]: Taking taylor expansion of 1 in n 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 3.869 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.869 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.869 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.869 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.869 * [taylor]: Taking taylor expansion of -1 in i 3.869 * [backup-simplify]: Simplify -1 into -1 3.869 * [taylor]: Taking taylor expansion of n in i 3.869 * [backup-simplify]: Simplify n into n 3.869 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.869 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.869 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.869 * [taylor]: Taking taylor expansion of (/ n i) in i 3.869 * [taylor]: Taking taylor expansion of n in i 3.869 * [backup-simplify]: Simplify n into n 3.869 * [taylor]: Taking taylor expansion of i in i 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ n 1) into n 3.869 * [taylor]: Taking taylor expansion of 1 in i 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (+ n 0) into n 3.870 * [backup-simplify]: Simplify (log n) into (log n) 3.870 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.870 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.870 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.870 * [taylor]: Taking taylor expansion of 1 in i 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 3.870 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 3.870 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 3.870 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 3.870 * [taylor]: Taking taylor expansion of (/ -1 n) in i 3.870 * [taylor]: Taking taylor expansion of -1 in i 3.870 * [backup-simplify]: Simplify -1 into -1 3.870 * [taylor]: Taking taylor expansion of n in i 3.870 * [backup-simplify]: Simplify n into n 3.870 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.870 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 3.870 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 3.870 * [taylor]: Taking taylor expansion of (/ n i) in i 3.870 * [taylor]: Taking taylor expansion of n in i 3.870 * [backup-simplify]: Simplify n into n 3.870 * [taylor]: Taking taylor expansion of i in i 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify (/ n 1) into n 3.870 * [taylor]: Taking taylor expansion of 1 in i 3.870 * [backup-simplify]: Simplify 1 into 1 3.870 * [backup-simplify]: Simplify (+ n 0) into n 3.870 * [backup-simplify]: Simplify (log n) into (log n) 3.871 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.871 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 3.871 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.871 * [taylor]: Taking taylor expansion of 1 in i 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (- 1) into -1 3.871 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.871 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.871 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.871 * [taylor]: Taking taylor expansion of -1 in n 3.871 * [backup-simplify]: Simplify -1 into -1 3.871 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.871 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.871 * [taylor]: Taking taylor expansion of (log n) in n 3.871 * [taylor]: Taking taylor expansion of n in n 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (log 1) into 0 3.872 * [taylor]: Taking taylor expansion of (log i) in n 3.872 * [taylor]: Taking taylor expansion of i in n 3.872 * [backup-simplify]: Simplify i into i 3.872 * [backup-simplify]: Simplify (log i) into (log i) 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.872 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.872 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.872 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.872 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.872 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.872 * [taylor]: Taking taylor expansion of 1 in n 3.872 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (- 1) into -1 3.873 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.873 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 3.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 1) into 1 3.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 3.875 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.875 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 3.876 * [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))) 3.876 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [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))) 3.876 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n 3.876 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n 3.876 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.877 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.877 * [taylor]: Taking taylor expansion of -1 in n 3.877 * [backup-simplify]: Simplify -1 into -1 3.877 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.877 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.877 * [taylor]: Taking taylor expansion of (log n) in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (log 1) into 0 3.877 * [taylor]: Taking taylor expansion of (log i) in n 3.877 * [taylor]: Taking taylor expansion of i in n 3.877 * [backup-simplify]: Simplify i into i 3.877 * [backup-simplify]: Simplify (log i) into (log i) 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.878 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.878 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.878 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.878 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.878 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.878 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.878 * [taylor]: Taking taylor expansion of n in n 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (- 0) into 0 3.884 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [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)) 3.887 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.888 * [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))) 3.889 * [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))))) 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [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)))) 3.889 * [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 3.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 3.889 * [taylor]: Taking taylor expansion of 1/2 in n 3.889 * [backup-simplify]: Simplify 1/2 into 1/2 3.889 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 3.889 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.889 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.889 * [taylor]: Taking taylor expansion of -1 in n 3.889 * [backup-simplify]: Simplify -1 into -1 3.889 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.890 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.890 * [taylor]: Taking taylor expansion of (log n) in n 3.890 * [taylor]: Taking taylor expansion of n in n 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (log 1) into 0 3.890 * [taylor]: Taking taylor expansion of (log i) in n 3.890 * [taylor]: Taking taylor expansion of i in n 3.890 * [backup-simplify]: Simplify i into i 3.890 * [backup-simplify]: Simplify (log i) into (log i) 3.890 * [taylor]: Taking taylor expansion of n in n 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.890 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.890 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.890 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.890 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.891 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.891 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [backup-simplify]: Simplify (* 1 1) into 1 3.891 * [backup-simplify]: Simplify (* 1 1) into 1 3.891 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 3.891 * [taylor]: Taking taylor expansion of 1/2 in n 3.891 * [backup-simplify]: Simplify 1/2 into 1/2 3.891 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 3.891 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.891 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.891 * [taylor]: Taking taylor expansion of -1 in n 3.891 * [backup-simplify]: Simplify -1 into -1 3.891 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.891 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.891 * [taylor]: Taking taylor expansion of (log n) in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (log 1) into 0 3.892 * [taylor]: Taking taylor expansion of (log i) in n 3.892 * [taylor]: Taking taylor expansion of i in n 3.892 * [backup-simplify]: Simplify i into i 3.892 * [backup-simplify]: Simplify (log i) into (log i) 3.892 * [taylor]: Taking taylor expansion of n in n 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.892 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.892 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.892 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.892 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.892 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.892 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.892 * [taylor]: Taking taylor expansion of n in n 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (* 1 1) into 1 3.893 * [backup-simplify]: Simplify (* 1 1) into 1 3.893 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [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 3.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (- 0) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (- 0) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [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)) 3.923 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.924 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 3.924 * [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)))) 3.925 * [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))))))) 3.925 * [backup-simplify]: Simplify (- 0) into 0 3.926 * [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)))))) 3.926 * [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 3.926 * [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 3.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 3.926 * [taylor]: Taking taylor expansion of 1/2 in n 3.926 * [backup-simplify]: Simplify 1/2 into 1/2 3.926 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.926 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.926 * [taylor]: Taking taylor expansion of -1 in n 3.926 * [backup-simplify]: Simplify -1 into -1 3.926 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.926 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.927 * [taylor]: Taking taylor expansion of (log n) in n 3.927 * [taylor]: Taking taylor expansion of n in n 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (log 1) into 0 3.927 * [taylor]: Taking taylor expansion of (log i) in n 3.927 * [taylor]: Taking taylor expansion of i in n 3.927 * [backup-simplify]: Simplify i into i 3.927 * [backup-simplify]: Simplify (log i) into (log i) 3.927 * [taylor]: Taking taylor expansion of n in n 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.928 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.928 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.928 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.928 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.928 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.928 * [taylor]: Taking taylor expansion of (pow n 5) in n 3.928 * [taylor]: Taking taylor expansion of n in n 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.929 * [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 3.930 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 3.930 * [taylor]: Taking taylor expansion of 1/6 in n 3.930 * [backup-simplify]: Simplify 1/6 into 1/6 3.930 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 3.930 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.930 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.930 * [taylor]: Taking taylor expansion of -1 in n 3.930 * [backup-simplify]: Simplify -1 into -1 3.930 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.930 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.930 * [taylor]: Taking taylor expansion of (log n) in n 3.930 * [taylor]: Taking taylor expansion of n in n 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (log 1) into 0 3.930 * [taylor]: Taking taylor expansion of (log i) in n 3.930 * [taylor]: Taking taylor expansion of i in n 3.930 * [backup-simplify]: Simplify i into i 3.930 * [backup-simplify]: Simplify (log i) into (log i) 3.930 * [taylor]: Taking taylor expansion of n in n 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.931 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.931 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.931 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.931 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.931 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.931 * [taylor]: Taking taylor expansion of (pow n 6) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.933 * [backup-simplify]: Simplify (* 1 1) into 1 3.933 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.933 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 3.933 * [taylor]: Taking taylor expansion of 1/3 in n 3.933 * [backup-simplify]: Simplify 1/3 into 1/3 3.933 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 3.933 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 3.933 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 3.933 * [taylor]: Taking taylor expansion of -1 in n 3.933 * [backup-simplify]: Simplify -1 into -1 3.933 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 3.933 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 3.933 * [taylor]: Taking taylor expansion of (log n) in n 3.933 * [taylor]: Taking taylor expansion of n in n 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (log 1) into 0 3.933 * [taylor]: Taking taylor expansion of (log i) in n 3.934 * [taylor]: Taking taylor expansion of i in n 3.934 * [backup-simplify]: Simplify i into i 3.934 * [backup-simplify]: Simplify (log i) into (log i) 3.934 * [taylor]: Taking taylor expansion of n in n 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.934 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 3.934 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 3.935 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 3.935 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 3.935 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.935 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.935 * [taylor]: Taking taylor expansion of n in n 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [backup-simplify]: Simplify (* 1 1) into 1 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.936 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [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 3.960 * [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 3.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [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 3.990 * [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 3.992 * [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 3.994 * [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 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (- 0) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) 4.005 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.005 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) into (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) 4.005 * [approximate]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in (i n) around 0 4.005 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in n 4.005 * [taylor]: Taking taylor expansion of 100 in n 4.005 * [backup-simplify]: Simplify 100 into 100 4.005 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n 4.005 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n 4.005 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 4.005 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 4.005 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 4.005 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 4.005 * [taylor]: Taking taylor expansion of n in n 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 4.005 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 4.005 * [taylor]: Taking taylor expansion of (/ i n) in n 4.005 * [taylor]: Taking taylor expansion of i in n 4.005 * [backup-simplify]: Simplify i into i 4.005 * [taylor]: Taking taylor expansion of n in n 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (/ i 1) into i 4.005 * [taylor]: Taking taylor expansion of 1 in n 4.005 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (+ i 0) into i 4.005 * [backup-simplify]: Simplify (log i) into (log i) 4.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 4.006 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (+ 0 1) into 1 4.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 4.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 4.008 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 4.008 * [backup-simplify]: Simplify (exp 0) into 1 4.008 * [taylor]: Taking taylor expansion of 1 in n 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of n in n 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [taylor]: Taking taylor expansion of i in n 4.008 * [backup-simplify]: Simplify i into i 4.009 * [backup-simplify]: Simplify (- 1) into -1 4.009 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.009 * [backup-simplify]: Simplify (* 0 0) into 0 4.010 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 4.010 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 4.011 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 4.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) 4.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 4.014 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) 4.015 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 4.015 * [backup-simplify]: Simplify (- 0) into 0 4.016 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 4.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) 4.017 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 4.017 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i 4.017 * [taylor]: Taking taylor expansion of 100 in i 4.017 * [backup-simplify]: Simplify 100 into 100 4.017 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 4.017 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 4.017 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 4.017 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 4.017 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 4.017 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 4.017 * [taylor]: Taking taylor expansion of n in i 4.017 * [backup-simplify]: Simplify n into n 4.017 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 4.017 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 4.017 * [taylor]: Taking taylor expansion of (/ i n) in i 4.017 * [taylor]: Taking taylor expansion of i in i 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of n in i 4.018 * [backup-simplify]: Simplify n into n 4.018 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.018 * [taylor]: Taking taylor expansion of 1 in i 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (+ 0 1) into 1 4.018 * [backup-simplify]: Simplify (log 1) into 0 4.018 * [backup-simplify]: Simplify (* n 0) into 0 4.018 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 4.019 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 4.019 * [backup-simplify]: Simplify (exp 0) into 1 4.019 * [taylor]: Taking taylor expansion of 1 in i 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of n in i 4.019 * [backup-simplify]: Simplify n into n 4.019 * [taylor]: Taking taylor expansion of i in i 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (- 1) into -1 4.019 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.020 * [backup-simplify]: Simplify (* 0 n) into 0 4.020 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 4.020 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ 1 0) into 1 4.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.023 * [backup-simplify]: Simplify (/ n 1) into n 4.023 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i 4.023 * [taylor]: Taking taylor expansion of 100 in i 4.023 * [backup-simplify]: Simplify 100 into 100 4.023 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 4.023 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 4.023 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 4.023 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 4.023 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 4.023 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 4.023 * [taylor]: Taking taylor expansion of n in i 4.023 * [backup-simplify]: Simplify n into n 4.023 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 4.023 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 4.023 * [taylor]: Taking taylor expansion of (/ i n) in i 4.023 * [taylor]: Taking taylor expansion of i in i 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [taylor]: Taking taylor expansion of n in i 4.023 * [backup-simplify]: Simplify n into n 4.023 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.023 * [taylor]: Taking taylor expansion of 1 in i 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (+ 0 1) into 1 4.024 * [backup-simplify]: Simplify (log 1) into 0 4.024 * [backup-simplify]: Simplify (* n 0) into 0 4.024 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 4.024 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 4.024 * [backup-simplify]: Simplify (exp 0) into 1 4.024 * [taylor]: Taking taylor expansion of 1 in i 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of n in i 4.024 * [backup-simplify]: Simplify n into n 4.024 * [taylor]: Taking taylor expansion of i in i 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (- 1) into -1 4.025 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.025 * [backup-simplify]: Simplify (* 0 n) into 0 4.026 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 1 0) into 1 4.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.026 * [backup-simplify]: Simplify (/ n 1) into n 4.027 * [backup-simplify]: Simplify (* 100 n) into (* 100 n) 4.027 * [taylor]: Taking taylor expansion of (* 100 n) in n 4.027 * [taylor]: Taking taylor expansion of 100 in n 4.027 * [backup-simplify]: Simplify 100 into 100 4.027 * [taylor]: Taking taylor expansion of n in n 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 4.028 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 4.029 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 4.029 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 4.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2) 4.031 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 4.031 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50) 4.031 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n 4.031 * [taylor]: Taking taylor expansion of (* 50 n) in n 4.031 * [taylor]: Taking taylor expansion of 50 in n 4.031 * [backup-simplify]: Simplify 50 into 50 4.031 * [taylor]: Taking taylor expansion of n in n 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of 50 in n 4.031 * [backup-simplify]: Simplify 50 into 50 4.032 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 4.035 * [backup-simplify]: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) 4.036 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 4.036 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 4.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 4.038 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 4.038 * [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) 4.038 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n 4.038 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n 4.038 * [taylor]: Taking taylor expansion of (* 50/3 n) in n 4.038 * [taylor]: Taking taylor expansion of 50/3 in n 4.038 * [backup-simplify]: Simplify 50/3 into 50/3 4.038 * [taylor]: Taking taylor expansion of n in n 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n 4.038 * [taylor]: Taking taylor expansion of 100/3 in n 4.038 * [backup-simplify]: Simplify 100/3 into 100/3 4.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.038 * [taylor]: Taking taylor expansion of n in n 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [taylor]: Taking taylor expansion of 50 in n 4.039 * [backup-simplify]: Simplify 50 into 50 4.039 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.043 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [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)) 4.044 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in (i n) around 0 4.045 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in n 4.045 * [taylor]: Taking taylor expansion of 100 in n 4.045 * [backup-simplify]: Simplify 100 into 100 4.045 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n 4.045 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n 4.045 * [taylor]: Taking taylor expansion of i in n 4.045 * [backup-simplify]: Simplify i into i 4.045 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 4.045 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 4.045 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 4.045 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 4.045 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.045 * [taylor]: Taking taylor expansion of n in n 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 4.045 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 4.045 * [taylor]: Taking taylor expansion of (/ n i) in n 4.045 * [taylor]: Taking taylor expansion of n in n 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [taylor]: Taking taylor expansion of i in n 4.045 * [backup-simplify]: Simplify i into i 4.045 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 4.045 * [taylor]: Taking taylor expansion of 1 in n 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (+ 0 1) into 1 4.046 * [backup-simplify]: Simplify (log 1) into 0 4.046 * [backup-simplify]: Simplify (* 1 0) into 0 4.046 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 4.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 4.047 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 4.047 * [taylor]: Taking taylor expansion of 1 in n 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of n in n 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (- 1) into -1 4.048 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 4.048 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 4.048 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 4.048 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i 4.048 * [taylor]: Taking taylor expansion of 100 in i 4.048 * [backup-simplify]: Simplify 100 into 100 4.048 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 4.048 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 4.048 * [taylor]: Taking taylor expansion of i in i 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 4.048 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 4.048 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 4.048 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 4.048 * [taylor]: Taking taylor expansion of (/ 1 n) in i 4.048 * [taylor]: Taking taylor expansion of n in i 4.048 * [backup-simplify]: Simplify n into n 4.048 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.048 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 4.048 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 4.048 * [taylor]: Taking taylor expansion of (/ n i) in i 4.048 * [taylor]: Taking taylor expansion of n in i 4.048 * [backup-simplify]: Simplify n into n 4.048 * [taylor]: Taking taylor expansion of i in i 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (/ n 1) into n 4.048 * [taylor]: Taking taylor expansion of 1 in i 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (+ n 0) into n 4.048 * [backup-simplify]: Simplify (log n) into (log n) 4.049 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.049 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 4.049 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.049 * [taylor]: Taking taylor expansion of 1 in i 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of n in i 4.049 * [backup-simplify]: Simplify n into n 4.049 * [backup-simplify]: Simplify (- 1) into -1 4.049 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.049 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 4.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ 0 1) into 1 4.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 4.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.051 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 4.051 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 4.052 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.052 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 4.052 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i 4.052 * [taylor]: Taking taylor expansion of 100 in i 4.052 * [backup-simplify]: Simplify 100 into 100 4.052 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 4.052 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 4.052 * [taylor]: Taking taylor expansion of i in i 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 4.052 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 4.052 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 4.052 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 4.052 * [taylor]: Taking taylor expansion of (/ 1 n) in i 4.052 * [taylor]: Taking taylor expansion of n in i 4.052 * [backup-simplify]: Simplify n into n 4.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.052 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 4.052 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 4.052 * [taylor]: Taking taylor expansion of (/ n i) in i 4.052 * [taylor]: Taking taylor expansion of n in i 4.052 * [backup-simplify]: Simplify n into n 4.052 * [taylor]: Taking taylor expansion of i in i 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (/ n 1) into n 4.052 * [taylor]: Taking taylor expansion of 1 in i 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (+ n 0) into n 4.052 * [backup-simplify]: Simplify (log n) into (log n) 4.053 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.053 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 4.053 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.053 * [taylor]: Taking taylor expansion of 1 in i 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of n in i 4.053 * [backup-simplify]: Simplify n into n 4.053 * [backup-simplify]: Simplify (- 1) into -1 4.053 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.053 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 4.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ 0 1) into 1 4.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 4.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.055 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 4.055 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 4.055 * [backup-simplify]: Simplify (- 0) into 0 4.055 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 4.056 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.056 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 4.056 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) 4.056 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n 4.056 * [taylor]: Taking taylor expansion of 100 in n 4.056 * [backup-simplify]: Simplify 100 into 100 4.056 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n 4.056 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 4.056 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.056 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.056 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.056 * [taylor]: Taking taylor expansion of (log n) in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (log 1) into 0 4.056 * [taylor]: Taking taylor expansion of (log i) in n 4.056 * [taylor]: Taking taylor expansion of i in n 4.056 * [backup-simplify]: Simplify i into i 4.056 * [backup-simplify]: Simplify (log i) into (log i) 4.056 * [taylor]: Taking taylor expansion of n in n 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.057 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.057 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.057 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.057 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.057 * [taylor]: Taking taylor expansion of 1 in n 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [taylor]: Taking taylor expansion of n in n 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (- 1) into -1 4.057 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.057 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 4.058 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) 4.058 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) 4.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 4.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.060 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.060 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) 4.061 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 4.062 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 4.062 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) 4.062 * [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))) 4.062 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n 4.062 * [taylor]: Taking taylor expansion of 100 in n 4.062 * [backup-simplify]: Simplify 100 into 100 4.062 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 4.062 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.062 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.062 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.062 * [taylor]: Taking taylor expansion of (log n) in n 4.062 * [taylor]: Taking taylor expansion of n in n 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (log 1) into 0 4.063 * [taylor]: Taking taylor expansion of (log i) in n 4.063 * [taylor]: Taking taylor expansion of i in n 4.063 * [backup-simplify]: Simplify i into i 4.063 * [backup-simplify]: Simplify (log i) into (log i) 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.063 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.063 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.063 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.063 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.063 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (- 0) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 4.069 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 4.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.073 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) 4.074 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 4.074 * [backup-simplify]: Simplify (- 0) into 0 4.075 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 4.077 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 4.078 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) 4.079 * [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)))) 4.079 * [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 4.079 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 4.079 * [taylor]: Taking taylor expansion of 50 in n 4.079 * [backup-simplify]: Simplify 50 into 50 4.079 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 4.079 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.079 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.079 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.079 * [taylor]: Taking taylor expansion of (log n) in n 4.079 * [taylor]: Taking taylor expansion of n in n 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (log 1) into 0 4.080 * [taylor]: Taking taylor expansion of (log i) in n 4.080 * [taylor]: Taking taylor expansion of i in n 4.080 * [backup-simplify]: Simplify i into i 4.080 * [backup-simplify]: Simplify (log i) into (log i) 4.080 * [taylor]: Taking taylor expansion of n in n 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.080 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.080 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.080 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.080 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.081 * [taylor]: Taking taylor expansion of (pow n 5) in n 4.081 * [taylor]: Taking taylor expansion of n in n 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (* 1 1) into 1 4.081 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.082 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 4.082 * [taylor]: Taking taylor expansion of 50 in n 4.082 * [backup-simplify]: Simplify 50 into 50 4.082 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 4.082 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.082 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.082 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.082 * [taylor]: Taking taylor expansion of (log n) in n 4.082 * [taylor]: Taking taylor expansion of n in n 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (log 1) into 0 4.083 * [taylor]: Taking taylor expansion of (log i) in n 4.083 * [taylor]: Taking taylor expansion of i in n 4.083 * [backup-simplify]: Simplify i into i 4.083 * [backup-simplify]: Simplify (log i) into (log i) 4.083 * [taylor]: Taking taylor expansion of n in n 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.083 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.083 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.083 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.084 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.084 * [taylor]: Taking taylor expansion of (pow n 4) in n 4.084 * [taylor]: Taking taylor expansion of n in n 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (- 0) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.123 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4)) 4.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.123 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (- (* 1/4 (/ 1 (pow n 5)))) 4.124 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) 4.127 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 4.127 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) 4.128 * [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)))) 4.128 * [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 4.128 * [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 4.128 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 4.128 * [taylor]: Taking taylor expansion of 50/3 in n 4.129 * [backup-simplify]: Simplify 50/3 into 50/3 4.129 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 4.129 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.129 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.129 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.129 * [taylor]: Taking taylor expansion of (log n) in n 4.129 * [taylor]: Taking taylor expansion of n in n 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (log 1) into 0 4.129 * [taylor]: Taking taylor expansion of (log i) in n 4.129 * [taylor]: Taking taylor expansion of i in n 4.129 * [backup-simplify]: Simplify i into i 4.129 * [backup-simplify]: Simplify (log i) into (log i) 4.129 * [taylor]: Taking taylor expansion of n in n 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.129 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.129 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.130 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.130 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.130 * [taylor]: Taking taylor expansion of (pow n 7) in n 4.130 * [taylor]: Taking taylor expansion of n in n 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.131 * [backup-simplify]: Simplify (* 1 1) into 1 4.131 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.131 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 4.131 * [taylor]: Taking taylor expansion of 100/3 in n 4.131 * [backup-simplify]: Simplify 100/3 into 100/3 4.131 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 4.131 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.131 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.131 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.131 * [taylor]: Taking taylor expansion of (log n) in n 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (log 1) into 0 4.131 * [taylor]: Taking taylor expansion of (log i) in n 4.131 * [taylor]: Taking taylor expansion of i in n 4.131 * [backup-simplify]: Simplify i into i 4.131 * [backup-simplify]: Simplify (log i) into (log i) 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.132 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.132 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.132 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.132 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.132 * [taylor]: Taking taylor expansion of (pow n 5) in n 4.132 * [taylor]: Taking taylor expansion of n in n 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.133 * [backup-simplify]: Simplify (* 1 1) into 1 4.133 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.133 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 4.133 * [taylor]: Taking taylor expansion of 50 in n 4.133 * [backup-simplify]: Simplify 50 into 50 4.133 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 4.133 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 4.133 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.133 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.133 * [taylor]: Taking taylor expansion of (log n) in n 4.133 * [taylor]: Taking taylor expansion of n in n 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (log 1) into 0 4.133 * [taylor]: Taking taylor expansion of (log i) in n 4.133 * [taylor]: Taking taylor expansion of i in n 4.133 * [backup-simplify]: Simplify i into i 4.133 * [backup-simplify]: Simplify (log i) into (log i) 4.133 * [taylor]: Taking taylor expansion of n in n 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.133 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.134 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.134 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.134 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.134 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 4.134 * [taylor]: Taking taylor expansion of (pow n 6) in n 4.134 * [taylor]: Taking taylor expansion of n in n 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [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 4.160 * [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 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [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)) 4.194 * [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)) 4.194 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in (i n) around 0 4.194 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in n 4.194 * [taylor]: Taking taylor expansion of 100 in n 4.194 * [backup-simplify]: Simplify 100 into 100 4.194 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n 4.194 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n 4.194 * [taylor]: Taking taylor expansion of i in n 4.195 * [backup-simplify]: Simplify i into i 4.195 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 4.195 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 4.195 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 4.195 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 4.195 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.195 * [taylor]: Taking taylor expansion of -1 in n 4.195 * [backup-simplify]: Simplify -1 into -1 4.195 * [taylor]: Taking taylor expansion of n in n 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (/ -1 1) into -1 4.195 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 4.195 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 4.195 * [taylor]: Taking taylor expansion of (/ n i) in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [taylor]: Taking taylor expansion of i in n 4.195 * [backup-simplify]: Simplify i into i 4.195 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 4.195 * [taylor]: Taking taylor expansion of 1 in n 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (+ 0 1) into 1 4.196 * [backup-simplify]: Simplify (log 1) into 0 4.196 * [backup-simplify]: Simplify (* -1 0) into 0 4.196 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 4.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 4.197 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 4.197 * [taylor]: Taking taylor expansion of 1 in n 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [taylor]: Taking taylor expansion of n in n 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (- 1) into -1 4.198 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) 4.198 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1)) 4.198 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1)) 4.198 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i 4.198 * [taylor]: Taking taylor expansion of 100 in i 4.198 * [backup-simplify]: Simplify 100 into 100 4.198 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 4.198 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 4.198 * [taylor]: Taking taylor expansion of i in i 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 4.198 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 4.198 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 4.198 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 4.198 * [taylor]: Taking taylor expansion of (/ -1 n) in i 4.198 * [taylor]: Taking taylor expansion of -1 in i 4.198 * [backup-simplify]: Simplify -1 into -1 4.198 * [taylor]: Taking taylor expansion of n in i 4.198 * [backup-simplify]: Simplify n into n 4.198 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.198 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 4.198 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 4.198 * [taylor]: Taking taylor expansion of (/ n i) in i 4.198 * [taylor]: Taking taylor expansion of n in i 4.198 * [backup-simplify]: Simplify n into n 4.198 * [taylor]: Taking taylor expansion of i in i 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (/ n 1) into n 4.198 * [taylor]: Taking taylor expansion of 1 in i 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (+ n 0) into n 4.198 * [backup-simplify]: Simplify (log n) into (log n) 4.199 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.199 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 4.199 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.199 * [taylor]: Taking taylor expansion of 1 in i 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of n in i 4.199 * [backup-simplify]: Simplify n into n 4.199 * [backup-simplify]: Simplify (- 1) into -1 4.199 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.199 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 4.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (+ 0 1) into 1 4.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 4.201 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 4.201 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.201 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 4.201 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 4.201 * [backup-simplify]: Simplify (- 0) into 0 4.202 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 4.202 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.202 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 4.202 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i 4.202 * [taylor]: Taking taylor expansion of 100 in i 4.202 * [backup-simplify]: Simplify 100 into 100 4.202 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 4.202 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 4.202 * [taylor]: Taking taylor expansion of i in i 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 4.202 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 4.202 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 4.202 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 4.202 * [taylor]: Taking taylor expansion of (/ -1 n) in i 4.202 * [taylor]: Taking taylor expansion of -1 in i 4.202 * [backup-simplify]: Simplify -1 into -1 4.202 * [taylor]: Taking taylor expansion of n in i 4.202 * [backup-simplify]: Simplify n into n 4.202 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.202 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 4.202 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 4.202 * [taylor]: Taking taylor expansion of (/ n i) in i 4.202 * [taylor]: Taking taylor expansion of n in i 4.202 * [backup-simplify]: Simplify n into n 4.202 * [taylor]: Taking taylor expansion of i in i 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ n 1) into n 4.202 * [taylor]: Taking taylor expansion of 1 in i 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (+ n 0) into n 4.202 * [backup-simplify]: Simplify (log n) into (log n) 4.203 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.203 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 4.203 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.203 * [taylor]: Taking taylor expansion of 1 in i 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of n in i 4.203 * [backup-simplify]: Simplify n into n 4.203 * [backup-simplify]: Simplify (- 1) into -1 4.203 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.203 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 4.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ 0 1) into 1 4.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 4.205 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.205 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 4.205 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 4.206 * [backup-simplify]: Simplify (- 0) into 0 4.206 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 4.206 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.206 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 4.206 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) 4.206 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n 4.206 * [taylor]: Taking taylor expansion of 100 in n 4.206 * [backup-simplify]: Simplify 100 into 100 4.206 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n 4.206 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 4.206 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.207 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.207 * [taylor]: Taking taylor expansion of -1 in n 4.207 * [backup-simplify]: Simplify -1 into -1 4.207 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.207 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.207 * [taylor]: Taking taylor expansion of (log n) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (log 1) into 0 4.207 * [taylor]: Taking taylor expansion of (log i) in n 4.207 * [taylor]: Taking taylor expansion of i in n 4.207 * [backup-simplify]: Simplify i into i 4.207 * [backup-simplify]: Simplify (log i) into (log i) 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.207 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.207 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.207 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.207 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.208 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.208 * [taylor]: Taking taylor expansion of 1 in n 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of n in n 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (- 1) into -1 4.208 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.208 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 4.208 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) 4.208 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 4.212 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.212 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.213 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) 4.213 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.213 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) 4.214 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 4.214 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) 4.214 * [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)))) 4.214 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n 4.214 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 4.214 * [taylor]: Taking taylor expansion of 100 in n 4.215 * [backup-simplify]: Simplify 100 into 100 4.215 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 4.215 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.215 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.215 * [taylor]: Taking taylor expansion of -1 in n 4.215 * [backup-simplify]: Simplify -1 into -1 4.215 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.215 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.215 * [taylor]: Taking taylor expansion of (log n) in n 4.215 * [taylor]: Taking taylor expansion of n in n 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (log 1) into 0 4.215 * [taylor]: Taking taylor expansion of (log i) in n 4.215 * [taylor]: Taking taylor expansion of i in n 4.215 * [backup-simplify]: Simplify i into i 4.215 * [backup-simplify]: Simplify (log i) into (log i) 4.215 * [taylor]: Taking taylor expansion of n in n 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.215 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.215 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.215 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.216 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.216 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.216 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.216 * [taylor]: Taking taylor expansion of n in n 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 4.220 * [backup-simplify]: Simplify (- 0) into 0 4.220 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (- 0) into 0 4.221 * [backup-simplify]: Simplify (+ 0 0) into 0 4.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 4.225 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.226 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) 4.226 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.227 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) 4.228 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) 4.228 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) 4.229 * [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)))) 4.229 * [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 4.229 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 4.229 * [taylor]: Taking taylor expansion of 50 in n 4.229 * [backup-simplify]: Simplify 50 into 50 4.229 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 4.229 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.229 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.229 * [taylor]: Taking taylor expansion of -1 in n 4.229 * [backup-simplify]: Simplify -1 into -1 4.229 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.229 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.229 * [taylor]: Taking taylor expansion of (log n) in n 4.229 * [taylor]: Taking taylor expansion of n in n 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (log 1) into 0 4.229 * [taylor]: Taking taylor expansion of (log i) in n 4.229 * [taylor]: Taking taylor expansion of i in n 4.229 * [backup-simplify]: Simplify i into i 4.229 * [backup-simplify]: Simplify (log i) into (log i) 4.229 * [taylor]: Taking taylor expansion of n in n 4.229 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.230 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.230 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.230 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.230 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.230 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.230 * [taylor]: Taking taylor expansion of (pow n 5) in n 4.230 * [taylor]: Taking taylor expansion of n in n 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (* 1 1) into 1 4.231 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.231 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 4.231 * [taylor]: Taking taylor expansion of 50 in n 4.231 * [backup-simplify]: Simplify 50 into 50 4.231 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 4.231 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.231 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.231 * [taylor]: Taking taylor expansion of -1 in n 4.231 * [backup-simplify]: Simplify -1 into -1 4.231 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.231 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.231 * [taylor]: Taking taylor expansion of (log n) in n 4.231 * [taylor]: Taking taylor expansion of n in n 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (log 1) into 0 4.231 * [taylor]: Taking taylor expansion of (log i) in n 4.231 * [taylor]: Taking taylor expansion of i in n 4.231 * [backup-simplify]: Simplify i into i 4.232 * [backup-simplify]: Simplify (log i) into (log i) 4.232 * [taylor]: Taking taylor expansion of n in n 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.232 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.232 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.232 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.232 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.232 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.232 * [taylor]: Taking taylor expansion of (pow n 4) in n 4.232 * [taylor]: Taking taylor expansion of n in n 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.233 * [backup-simplify]: Simplify (* 1 1) into 1 4.233 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 4.256 * [backup-simplify]: Simplify (- 0) into 0 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4)) 4.263 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 4.263 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (* 1/4 (/ 1 (pow n 5))) 4.264 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 4.264 * [backup-simplify]: Simplify (- 0) into 0 4.265 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) 4.266 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) 4.268 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) 4.269 * [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)))))) 4.269 * [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 4.269 * [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 4.269 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 4.269 * [taylor]: Taking taylor expansion of 50/3 in n 4.269 * [backup-simplify]: Simplify 50/3 into 50/3 4.269 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 4.269 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.269 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.269 * [taylor]: Taking taylor expansion of -1 in n 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.269 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.269 * [taylor]: Taking taylor expansion of (log n) in n 4.269 * [taylor]: Taking taylor expansion of n in n 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (log 1) into 0 4.269 * [taylor]: Taking taylor expansion of (log i) in n 4.269 * [taylor]: Taking taylor expansion of i in n 4.269 * [backup-simplify]: Simplify i into i 4.269 * [backup-simplify]: Simplify (log i) into (log i) 4.269 * [taylor]: Taking taylor expansion of n in n 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.270 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.270 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.270 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.270 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.270 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.270 * [taylor]: Taking taylor expansion of (pow n 7) in n 4.270 * [taylor]: Taking taylor expansion of n in n 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (* 1 1) into 1 4.271 * [backup-simplify]: Simplify (* 1 1) into 1 4.271 * [backup-simplify]: Simplify (* 1 1) into 1 4.271 * [backup-simplify]: Simplify (* 1 1) into 1 4.271 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.271 * [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 4.271 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 4.271 * [taylor]: Taking taylor expansion of 100/3 in n 4.271 * [backup-simplify]: Simplify 100/3 into 100/3 4.271 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 4.271 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.271 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.271 * [taylor]: Taking taylor expansion of -1 in n 4.271 * [backup-simplify]: Simplify -1 into -1 4.271 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.271 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.271 * [taylor]: Taking taylor expansion of (log n) in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (log 1) into 0 4.272 * [taylor]: Taking taylor expansion of (log i) in n 4.272 * [taylor]: Taking taylor expansion of i in n 4.272 * [backup-simplify]: Simplify i into i 4.272 * [backup-simplify]: Simplify (log i) into (log i) 4.272 * [taylor]: Taking taylor expansion of n in n 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.272 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.272 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.272 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.272 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.272 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.272 * [taylor]: Taking taylor expansion of (pow n 5) in n 4.272 * [taylor]: Taking taylor expansion of n in n 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.273 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.273 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 4.273 * [taylor]: Taking taylor expansion of 50 in n 4.273 * [backup-simplify]: Simplify 50 into 50 4.273 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 4.273 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 4.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 4.273 * [taylor]: Taking taylor expansion of -1 in n 4.273 * [backup-simplify]: Simplify -1 into -1 4.273 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 4.273 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 4.273 * [taylor]: Taking taylor expansion of (log n) in n 4.273 * [taylor]: Taking taylor expansion of n in n 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (log 1) into 0 4.274 * [taylor]: Taking taylor expansion of (log i) in n 4.274 * [taylor]: Taking taylor expansion of i in n 4.274 * [backup-simplify]: Simplify i into i 4.274 * [backup-simplify]: Simplify (log i) into (log i) 4.274 * [taylor]: Taking taylor expansion of n in n 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.274 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 4.274 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 4.274 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 4.274 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 4.274 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.274 * [taylor]: Taking taylor expansion of (pow n 6) in n 4.274 * [taylor]: Taking taylor expansion of n in n 4.274 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (* 1 1) into 1 4.275 * [backup-simplify]: Simplify (* 1 1) into 1 4.275 * [backup-simplify]: Simplify (* 1 1) into 1 4.275 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 4.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [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 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.339 * [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)) 4.339 * * * [progress]: simplifying candidates 4.339 * * * * [progress]: [ 1 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 2 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 3 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 4 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 5 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 6 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 7 / 465 ] simplifiying candidate # 4.339 * * * * [progress]: [ 8 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 9 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 10 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 11 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 12 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 13 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 14 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 15 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 16 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 17 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 18 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 19 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 20 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 21 / 465 ] simplifiying candidate # 4.340 * * * * [progress]: [ 22 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 23 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 24 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 25 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 26 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 27 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 28 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 29 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 30 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 31 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 32 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 33 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 34 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 35 / 465 ] simplifiying candidate # 4.341 * * * * [progress]: [ 36 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 37 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 38 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 39 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 40 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 41 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 42 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 43 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 44 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 45 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 46 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 47 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 48 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 49 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 50 / 465 ] simplifiying candidate # 4.342 * * * * [progress]: [ 51 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 52 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 53 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 54 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 55 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 56 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 57 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 58 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 59 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 60 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 61 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 62 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 63 / 465 ] simplifiying candidate # 4.343 * * * * [progress]: [ 64 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 65 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 66 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 67 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 68 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 69 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 70 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 71 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 72 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 73 / 465 ] simplifiying candidate # 4.344 * * * * [progress]: [ 74 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 75 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 76 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 77 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 78 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 79 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 80 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 81 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 82 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 83 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 84 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 85 / 465 ] simplifiying candidate # 4.345 * * * * [progress]: [ 86 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 87 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 88 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 89 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 90 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 91 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 92 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 93 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 94 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 95 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 96 / 465 ] simplifiying candidate # 4.346 * * * * [progress]: [ 97 / 465 ] simplifiying 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4.363 * * * * [progress]: [ 448 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 449 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 450 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 451 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 452 / 465 ] simplifiying candidate #real (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))> 4.364 * * * * [progress]: [ 453 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 454 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 455 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 456 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 457 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 458 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 459 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 460 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 461 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 462 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 463 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 464 / 465 ] simplifiying candidate # 4.364 * * * * [progress]: [ 465 / 465 ] simplifiying candidate # 4.372 * [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) 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(pow (+ 1 (/ i n)) n) 1)) (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) 0 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) (+ i (+ (* 1/2 (pow i 2)) 1)) (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) 0 (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) 4.388 * * [simplify]: iteration 0: 542 enodes 4.801 * * [simplify]: iteration 1: 1702 enodes 5.277 * * [simplify]: iteration complete: 5001 enodes 5.278 * * [simplify]: Extracting #0: cost 313 inf + 0 5.282 * * [simplify]: Extracting #1: cost 1748 inf + 46 5.289 * * [simplify]: Extracting #2: cost 2090 inf + 8336 5.311 * * [simplify]: Extracting #3: cost 1765 inf + 72940 5.368 * * [simplify]: Extracting #4: cost 1181 inf + 296156 5.452 * * [simplify]: Extracting #5: cost 401 inf + 666581 5.611 * * [simplify]: Extracting #6: cost 36 inf + 844779 5.748 * * [simplify]: Extracting #7: cost 0 inf + 862930 5.912 * * [simplify]: Extracting #8: cost 0 inf + 862860 6.048 * [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 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1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))) (/ 100 (/ i (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))))) (* (/ 100 (cbrt (/ i n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))) (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) (/ (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n))) (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt i) (cbrt i))) (* (sqrt n) 100)) (/ (/ (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (cbrt i)) (cbrt i)) (* (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt i)) (* (cbrt n) (cbrt n))) 100) (/ 100 (/ (/ (sqrt i) (sqrt n)) (sqrt (- (pow (+ 1 (/ i n)) n) 1)))) (/ 100 (/ (sqrt i) (sqrt (- (pow (+ 1 (/ i n)) n) 1)))) (* (* (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt n)) (cbrt n)) 100) (* (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt n)) (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (* 100 (sqrt (- (pow (+ 1 (/ i n)) n) 1))) (/ (* (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 100) i) (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ 100 (sqrt (/ i n))) (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ 100 (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (/ (/ 100 (cbrt i)) (cbrt i)) (* (/ 100 (/ (sqrt i) (cbrt n))) (cbrt n)) (/ 100 (/ (sqrt i) (sqrt n))) (/ 100 (sqrt i)) (* (cbrt n) (* (cbrt n) 100)) (* (sqrt n) 100) 100 100 (/ 100 i) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt (/ i n))) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (cbrt i) (cbrt i))) (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (* (cbrt n) (cbrt n)) 100)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n))) (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) 100) (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n)))) (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt (/ i n))) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* 100 (/ (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt i)) (cbrt i))) (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (* (cbrt n) (cbrt n)) 100)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n))) (/ 100 (/ (sqrt i) (+ (pow (sqrt (+ 1 (/ i n))) n) 1))) (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n)))) (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i) (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt (/ i n))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* (/ 100 (cbrt i)) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt i))) (* 100 (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (* (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt i)) (* (sqrt n) 100)) (* 100 (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt i))) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (cbrt n) (cbrt n)))) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) i) (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt (/ i n))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* (/ 100 (cbrt i)) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt i))) (* 100 (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (* (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt i)) (* (sqrt n) 100)) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i)) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (cbrt n) (cbrt n)))) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) i) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n))) (/ (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n))) (* (/ (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (cbrt i)) (cbrt i)) (* (sqrt n) 100)) (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i))) (/ 100 (/ (/ (sqrt i) (* (cbrt n) (cbrt n))) (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n))) (* (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt i)) 100) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n)))) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ 100 (/ i (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n))) (/ (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n))) (* (/ (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (cbrt i)) (cbrt i)) (* (sqrt n) 100)) (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i))) (/ 100 (/ (/ (sqrt i) (* (cbrt n) (cbrt n))) (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt i)) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n)))) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ 100 (/ i (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (sqrt (/ i n))) (/ (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 100) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* 100 (/ (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt i)) (cbrt i))) (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt i)) (* (* (cbrt n) (cbrt n)) 100)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (sqrt i) (sqrt n))) (/ 100 (/ (sqrt i) (+ (pow (sqrt (+ 1 (/ i n))) n) 1))) (* 100 (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt n) (cbrt n)))) (* (* (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt n)) 100) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ (* 100 (+ (pow (sqrt (+ 1 (/ i n))) n) 1)) i) (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt (/ i n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt (/ i n))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) 100) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* (/ 100 (cbrt i)) (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (cbrt i))) (* 100 (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (/ (sqrt i) (* (cbrt n) (cbrt n))))) (* (/ (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt i)) (* (sqrt n) 100)) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (sqrt i)) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (* (cbrt n) (cbrt n)))) (* 100 (* (+ 1 (sqrt (pow (+ 1 (/ i n)) n))) (sqrt n))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) (/ (* 100 (+ 1 (sqrt (pow (+ 1 (/ i n)) n)))) i) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt (/ i n))) (/ (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (cbrt i) (cbrt n))) (/ (cbrt i) (cbrt n))) (* (/ (/ (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (cbrt i)) (cbrt i)) (* (sqrt n) 100)) (/ (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i))) (/ 100 (/ (/ (sqrt i) (* (cbrt n) (cbrt n))) (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (/ (sqrt i) (sqrt n))) (/ (* 100 (+ (pow (+ 1 (/ i n)) (/ n 2)) 1)) (sqrt i)) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (* (cbrt n) (cbrt n)))) (* 100 (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (* (+ (pow (+ 1 (/ i n)) (/ n 2)) 1) 100) (/ 100 (/ i (+ (pow (+ 1 (/ i n)) (/ n 2)) 1))) (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ 100 (sqrt (/ i n))) (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ 100 (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (/ (/ 100 (cbrt i)) (cbrt i)) (* (/ 100 (/ (sqrt i) (cbrt n))) (cbrt n)) (/ 100 (/ (sqrt i) (sqrt n))) (/ 100 (sqrt i)) (* (cbrt n) (* (cbrt n) 100)) (* (sqrt n) 100) 100 100 (/ 100 i) 100 (* (- (pow (+ 1 (/ i n)) n) 1) 100) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) i) (/ (* (cbrt 100) (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* 10 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) (* (- (pow (+ 1 (/ i n)) n) 1) 100) (real->posit16 (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))) 0 (/ (* (+ (exp (* n (+ (- (log n)) (log i)))) -1) n) i) (/ (* (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1) n) i) (+ (* i (* i 1/2)) (+ 1 i)) (exp (* n (+ (- (log n)) (log i)))) (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (+ (* 1/6 (* i (* i i))) (+ (* i (* i 1/2)) i)) (+ (exp (* n (+ (- (log n)) (log i)))) -1) (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1) 0 (/ (* (+ (exp (* n (+ (- (log n)) (log i)))) -1) 100) (/ i n)) (/ (* n 100) (/ i (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1))) 6.101 * * * [progress]: adding candidates to table 7.656 * * [progress]: iteration 2 / 4 7.656 * * * [progress]: picking best candidate 7.682 * * * * [pick]: Picked # 7.683 * * * [progress]: localizing error 7.714 * * * [progress]: generating rewritten candidates 7.714 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 7.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 7.851 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.898 * * * [progress]: generating series expansions 7.898 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.899 * [backup-simplify]: Simplify (- (/ (pow (+ 1 (/ i n)) n) (/ i n)) (/ 1 (/ i n))) into (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) 7.899 * [approximate]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in (i n) around 0 7.899 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in n 7.899 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in n 7.899 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in n 7.899 * [taylor]: Taking taylor expansion of n in n 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 7.899 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 7.899 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 7.899 * [taylor]: Taking taylor expansion of n in n 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 7.899 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 7.899 * [taylor]: Taking taylor expansion of (/ i n) in n 7.899 * [taylor]: Taking taylor expansion of i in n 7.899 * [backup-simplify]: Simplify i into i 7.899 * [taylor]: Taking taylor expansion of n in n 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ i 1) into i 7.899 * [taylor]: Taking taylor expansion of 1 in n 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (+ i 0) into i 7.899 * [backup-simplify]: Simplify (log i) into (log i) 7.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.901 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (+ 0 1) into 1 7.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 7.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.903 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 7.903 * [backup-simplify]: Simplify (exp 0) into 1 7.903 * [taylor]: Taking taylor expansion of i in n 7.903 * [backup-simplify]: Simplify i into i 7.904 * [backup-simplify]: Simplify (* 0 1) into 0 7.904 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 7.904 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 1)) into 1 7.904 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.904 * [taylor]: Taking taylor expansion of (/ n i) in n 7.904 * [taylor]: Taking taylor expansion of n in n 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.904 * [taylor]: Taking taylor expansion of i in n 7.904 * [backup-simplify]: Simplify i into i 7.904 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.904 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in i 7.904 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i 7.904 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i 7.904 * [taylor]: Taking taylor expansion of n in i 7.904 * [backup-simplify]: Simplify n into n 7.904 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.904 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.904 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.904 * [taylor]: Taking taylor expansion of n in i 7.904 * [backup-simplify]: Simplify n into n 7.905 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.905 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.905 * [taylor]: Taking taylor expansion of (/ i n) in i 7.905 * [taylor]: Taking taylor expansion of i in i 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [taylor]: Taking taylor expansion of n in i 7.905 * [backup-simplify]: Simplify n into n 7.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.905 * [taylor]: Taking taylor expansion of 1 in i 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (+ 0 1) into 1 7.905 * [backup-simplify]: Simplify (log 1) into 0 7.905 * [backup-simplify]: Simplify (* n 0) into 0 7.905 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.906 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.906 * [backup-simplify]: Simplify (exp 0) into 1 7.906 * [taylor]: Taking taylor expansion of i in i 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (* n 1) into n 7.907 * [backup-simplify]: Simplify (/ n 1) into n 7.907 * [taylor]: Taking taylor expansion of (/ n i) in i 7.907 * [taylor]: Taking taylor expansion of n in i 7.907 * [backup-simplify]: Simplify n into n 7.907 * [taylor]: Taking taylor expansion of i in i 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (/ n 1) into n 7.907 * [taylor]: Taking taylor expansion of (- (/ (* n (pow (+ (/ i n) 1) n)) i) (/ n i)) in i 7.907 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i 7.907 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i 7.907 * [taylor]: Taking taylor expansion of n in i 7.907 * [backup-simplify]: Simplify n into n 7.907 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.907 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.907 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.907 * [taylor]: Taking taylor expansion of n in i 7.907 * [backup-simplify]: Simplify n into n 7.907 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.907 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.907 * [taylor]: Taking taylor expansion of (/ i n) in i 7.907 * [taylor]: Taking taylor expansion of i in i 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [taylor]: Taking taylor expansion of n in i 7.907 * [backup-simplify]: Simplify n into n 7.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.907 * [taylor]: Taking taylor expansion of 1 in i 7.907 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (+ 0 1) into 1 7.908 * [backup-simplify]: Simplify (log 1) into 0 7.908 * [backup-simplify]: Simplify (* n 0) into 0 7.908 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.909 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.909 * [backup-simplify]: Simplify (exp 0) into 1 7.909 * [taylor]: Taking taylor expansion of i in i 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (* n 1) into n 7.910 * [backup-simplify]: Simplify (/ n 1) into n 7.910 * [taylor]: Taking taylor expansion of (/ n i) in i 7.910 * [taylor]: Taking taylor expansion of n in i 7.910 * [backup-simplify]: Simplify n into n 7.910 * [taylor]: Taking taylor expansion of i in i 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ n 1) into n 7.910 * [backup-simplify]: Simplify (- n) into (- n) 7.910 * [backup-simplify]: Simplify (+ n (- n)) into 0 7.910 * [taylor]: Taking taylor expansion of 0 in n 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.912 * [backup-simplify]: Simplify (+ (* n 1) (* 0 1)) into n 7.912 * [backup-simplify]: Simplify (- (/ n 1) (+ (* n (/ 0 1)))) into n 7.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (- 0) into 0 7.913 * [backup-simplify]: Simplify (+ n 0) into n 7.913 * [taylor]: Taking taylor expansion of n in n 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 7.914 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [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)) 7.916 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 7.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 7.918 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 1))) into (- (* 1/2 n) 1/2) 7.919 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)) (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 7.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (- 0) into 0 7.921 * [backup-simplify]: Simplify (+ (- (* 1/2 n) 1/2) 0) into (- (* 1/2 n) 1/2) 7.921 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n 7.921 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 7.921 * [taylor]: Taking taylor expansion of 1/2 in n 7.921 * [backup-simplify]: Simplify 1/2 into 1/2 7.921 * [taylor]: Taking taylor expansion of n in n 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [taylor]: Taking taylor expansion of 1/2 in n 7.921 * [backup-simplify]: Simplify 1/2 into 1/2 7.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.922 * [backup-simplify]: Simplify 1/2 into 1/2 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.923 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [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)) 7.926 * [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))) 7.927 * [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))) 7.927 * [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) 7.928 * [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) 7.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.930 * [backup-simplify]: Simplify (- 0) into 0 7.930 * [backup-simplify]: Simplify (+ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 0) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 7.930 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n 7.930 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n 7.930 * [taylor]: Taking taylor expansion of (* 1/6 n) in n 7.930 * [taylor]: Taking taylor expansion of 1/6 in n 7.930 * [backup-simplify]: Simplify 1/6 into 1/6 7.930 * [taylor]: Taking taylor expansion of n in n 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n 7.930 * [taylor]: Taking taylor expansion of 1/3 in n 7.930 * [backup-simplify]: Simplify 1/3 into 1/3 7.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.930 * [taylor]: Taking taylor expansion of n in n 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (/ 1 1) into 1 7.930 * [taylor]: Taking taylor expansion of 1/2 in n 7.930 * [backup-simplify]: Simplify 1/2 into 1/2 7.931 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.933 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.933 * [backup-simplify]: Simplify (- 0) into 0 7.933 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.933 * [backup-simplify]: Simplify 1/6 into 1/6 7.933 * [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)))) 7.934 * [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)) 7.934 * [approximate]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in (i n) around 0 7.934 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in n 7.934 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in n 7.934 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in n 7.934 * [taylor]: Taking taylor expansion of i in n 7.934 * [backup-simplify]: Simplify i into i 7.934 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 7.934 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 7.934 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 7.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.934 * [taylor]: Taking taylor expansion of n in n 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 1 into 1 7.938 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.938 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.938 * [taylor]: Taking taylor expansion of (/ n i) in n 7.938 * [taylor]: Taking taylor expansion of n in n 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [taylor]: Taking taylor expansion of i in n 7.938 * [backup-simplify]: Simplify i into i 7.938 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.938 * [taylor]: Taking taylor expansion of 1 in n 7.938 * [backup-simplify]: Simplify 1 into 1 7.939 * [backup-simplify]: Simplify (+ 0 1) into 1 7.939 * [backup-simplify]: Simplify (log 1) into 0 7.939 * [backup-simplify]: Simplify (* 1 0) into 0 7.939 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.941 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 7.941 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 7.941 * [taylor]: Taking taylor expansion of n in n 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [backup-simplify]: Simplify (* i (exp (/ 1 i))) into (* i (exp (/ 1 i))) 7.941 * [backup-simplify]: Simplify (/ (* i (exp (/ 1 i))) 1) into (* i (exp (/ 1 i))) 7.941 * [taylor]: Taking taylor expansion of (/ i n) in n 7.941 * [taylor]: Taking taylor expansion of i in n 7.941 * [backup-simplify]: Simplify i into i 7.941 * [taylor]: Taking taylor expansion of n in n 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [backup-simplify]: Simplify (/ i 1) into i 7.941 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in i 7.941 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i 7.941 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i 7.941 * [taylor]: Taking taylor expansion of i in i 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.941 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.941 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.941 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.941 * [taylor]: Taking taylor expansion of n in i 7.941 * [backup-simplify]: Simplify n into n 7.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.941 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.941 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.942 * [taylor]: Taking taylor expansion of (/ n i) in i 7.942 * [taylor]: Taking taylor expansion of n in i 7.942 * [backup-simplify]: Simplify n into n 7.942 * [taylor]: Taking taylor expansion of i in i 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (/ n 1) into n 7.942 * [taylor]: Taking taylor expansion of 1 in i 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (+ n 0) into n 7.942 * [backup-simplify]: Simplify (log n) into (log n) 7.942 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.942 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.942 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.942 * [taylor]: Taking taylor expansion of n in i 7.942 * [backup-simplify]: Simplify n into n 7.942 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0 7.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (+ 0 1) into 1 7.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.944 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.944 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.944 * [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)) 7.944 * [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)) 7.944 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n) 7.944 * [taylor]: Taking taylor expansion of (/ i n) in i 7.944 * [taylor]: Taking taylor expansion of i in i 7.944 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [taylor]: Taking taylor expansion of n in i 7.945 * [backup-simplify]: Simplify n into n 7.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.945 * [taylor]: Taking taylor expansion of (- (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) (/ i n)) in i 7.945 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i 7.945 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i 7.945 * [taylor]: Taking taylor expansion of i in i 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.945 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.945 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.945 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.945 * [taylor]: Taking taylor expansion of n in i 7.945 * [backup-simplify]: Simplify n into n 7.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.945 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.945 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.945 * [taylor]: Taking taylor expansion of (/ n i) in i 7.945 * [taylor]: Taking taylor expansion of n in i 7.945 * [backup-simplify]: Simplify n into n 7.945 * [taylor]: Taking taylor expansion of i in i 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (/ n 1) into n 7.945 * [taylor]: Taking taylor expansion of 1 in i 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (+ n 0) into n 7.945 * [backup-simplify]: Simplify (log n) into (log n) 7.945 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.945 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.945 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.946 * [taylor]: Taking taylor expansion of n in i 7.946 * [backup-simplify]: Simplify n into n 7.946 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0 7.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.946 * [backup-simplify]: Simplify (+ 0 1) into 1 7.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.947 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.947 * [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)) 7.948 * [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)) 7.948 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n) 7.948 * [taylor]: Taking taylor expansion of (/ i n) in i 7.948 * [taylor]: Taking taylor expansion of i in i 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [taylor]: Taking taylor expansion of n in i 7.948 * [backup-simplify]: Simplify n into n 7.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.948 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.948 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) n) (- (/ 1 n))) into (- (/ (exp (/ (- (log n) (log i)) n)) n) (/ 1 n)) 7.948 * [taylor]: Taking taylor expansion of (- (/ (exp (/ (- (log n) (log i)) n)) n) (/ 1 n)) in n 7.948 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) n) in n 7.948 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.948 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.948 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.948 * [taylor]: Taking taylor expansion of (log n) in n 7.948 * [taylor]: Taking taylor expansion of n in n 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify (log 1) into 0 7.949 * [taylor]: Taking taylor expansion of (log i) in n 7.949 * [taylor]: Taking taylor expansion of i in n 7.949 * [backup-simplify]: Simplify i into i 7.949 * [backup-simplify]: Simplify (log i) into (log i) 7.949 * [taylor]: Taking taylor expansion of n in n 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.949 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.949 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.949 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.949 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.949 * [taylor]: Taking taylor expansion of n in n 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.949 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.949 * [taylor]: Taking taylor expansion of n in n 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (/ 1 1) into 1 7.950 * [backup-simplify]: Simplify (- 1) into -1 7.950 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.950 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [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)) 7.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.952 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.953 * [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)))) 7.953 * [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))) 7.953 * [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)) 7.953 * [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)) 7.954 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 7.954 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) 7.954 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 7.954 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.954 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.954 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.954 * [taylor]: Taking taylor expansion of (log n) in n 7.954 * [taylor]: Taking taylor expansion of n in n 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (log 1) into 0 7.954 * [taylor]: Taking taylor expansion of (log i) in n 7.954 * [taylor]: Taking taylor expansion of i in n 7.954 * [backup-simplify]: Simplify i into i 7.954 * [backup-simplify]: Simplify (log i) into (log i) 7.954 * [taylor]: Taking taylor expansion of n in n 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.955 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.955 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.955 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.955 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.955 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.955 * [taylor]: Taking taylor expansion of n in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (* 1 1) into 1 7.955 * [backup-simplify]: Simplify (* 1 1) into 1 7.956 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.962 * [backup-simplify]: Simplify (- 0) into 0 7.962 * [backup-simplify]: Simplify (+ 0 0) into 0 7.962 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.968 * [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)) 7.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.968 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.969 * [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))) 7.969 * [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))))) 7.971 * [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)))) 7.972 * [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)))) 7.972 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.972 * [backup-simplify]: Simplify (- 0) into 0 7.973 * [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)))) 7.973 * [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 7.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 7.973 * [taylor]: Taking taylor expansion of 1/2 in n 7.973 * [backup-simplify]: Simplify 1/2 into 1/2 7.973 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 7.973 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.973 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.973 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.973 * [taylor]: Taking taylor expansion of (log n) in n 7.973 * [taylor]: Taking taylor expansion of n in n 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (log 1) into 0 7.974 * [taylor]: Taking taylor expansion of (log i) in n 7.974 * [taylor]: Taking taylor expansion of i in n 7.974 * [backup-simplify]: Simplify i into i 7.974 * [backup-simplify]: Simplify (log i) into (log i) 7.974 * [taylor]: Taking taylor expansion of n in n 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.974 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.974 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.975 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.975 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.975 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.975 * [taylor]: Taking taylor expansion of n in n 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 7.976 * [taylor]: Taking taylor expansion of 1/2 in n 7.976 * [backup-simplify]: Simplify 1/2 into 1/2 7.976 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 7.976 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.976 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.976 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.976 * [taylor]: Taking taylor expansion of (log n) in n 7.976 * [taylor]: Taking taylor expansion of n in n 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (log 1) into 0 7.977 * [taylor]: Taking taylor expansion of (log i) in n 7.977 * [taylor]: Taking taylor expansion of i in n 7.977 * [backup-simplify]: Simplify i into i 7.977 * [backup-simplify]: Simplify (log i) into (log i) 7.977 * [taylor]: Taking taylor expansion of n in n 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.977 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.978 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.978 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.978 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.978 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.978 * [taylor]: Taking taylor expansion of n in n 7.978 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify 1 into 1 7.978 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 8.001 * [backup-simplify]: Simplify (- 0) into 0 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.001 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- 0) into 0 8.005 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (+ 0 0) into 0 8.013 * [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)) 8.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.014 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.014 * [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)))) 8.016 * [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)))))) 8.018 * [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)))) 8.020 * [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)))) 8.020 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.021 * [backup-simplify]: Simplify (- 0) into 0 8.022 * [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)))) 8.022 * [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 8.022 * [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 8.022 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 8.022 * [taylor]: Taking taylor expansion of 1/6 in n 8.022 * [backup-simplify]: Simplify 1/6 into 1/6 8.022 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 8.022 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.022 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.022 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.022 * [taylor]: Taking taylor expansion of (log n) in n 8.022 * [taylor]: Taking taylor expansion of n in n 8.022 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (log 1) into 0 8.023 * [taylor]: Taking taylor expansion of (log i) in n 8.023 * [taylor]: Taking taylor expansion of i in n 8.023 * [backup-simplify]: Simplify i into i 8.023 * [backup-simplify]: Simplify (log i) into (log i) 8.023 * [taylor]: Taking taylor expansion of n in n 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.024 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.024 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.024 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.024 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.024 * [taylor]: Taking taylor expansion of (pow n 7) in n 8.024 * [taylor]: Taking taylor expansion of n in n 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.025 * [backup-simplify]: Simplify (* 1 1) into 1 8.026 * [backup-simplify]: Simplify (* 1 1) into 1 8.026 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.026 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 8.026 * [taylor]: Taking taylor expansion of 1/3 in n 8.026 * [backup-simplify]: Simplify 1/3 into 1/3 8.026 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 8.026 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.026 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.026 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.026 * [taylor]: Taking taylor expansion of (log n) in n 8.026 * [taylor]: Taking taylor expansion of n in n 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 1 into 1 8.027 * [backup-simplify]: Simplify (log 1) into 0 8.027 * [taylor]: Taking taylor expansion of (log i) in n 8.027 * [taylor]: Taking taylor expansion of i in n 8.027 * [backup-simplify]: Simplify i into i 8.027 * [backup-simplify]: Simplify (log i) into (log i) 8.027 * [taylor]: Taking taylor expansion of n in n 8.027 * [backup-simplify]: Simplify 0 into 0 8.027 * [backup-simplify]: Simplify 1 into 1 8.027 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.027 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.027 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.028 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.028 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.028 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.028 * [taylor]: Taking taylor expansion of n in n 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (* 1 1) into 1 8.029 * [backup-simplify]: Simplify (* 1 1) into 1 8.029 * [backup-simplify]: Simplify (* 1 1) into 1 8.029 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 8.030 * [taylor]: Taking taylor expansion of 1/2 in n 8.030 * [backup-simplify]: Simplify 1/2 into 1/2 8.030 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 8.030 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.030 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.030 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.030 * [taylor]: Taking taylor expansion of (log n) in n 8.030 * [taylor]: Taking taylor expansion of n in n 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [backup-simplify]: Simplify (log 1) into 0 8.030 * [taylor]: Taking taylor expansion of (log i) in n 8.030 * [taylor]: Taking taylor expansion of i in n 8.030 * [backup-simplify]: Simplify i into i 8.030 * [backup-simplify]: Simplify (log i) into (log i) 8.030 * [taylor]: Taking taylor expansion of n in n 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.031 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.031 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.031 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.031 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.031 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.031 * [taylor]: Taking taylor expansion of n in n 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.075 * [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 8.079 * [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 8.081 * [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 8.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.122 * [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 8.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 8.124 * [backup-simplify]: Simplify (- 0) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [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) 8.125 * [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)) 8.125 * [approximate]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in (i n) around 0 8.125 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in n 8.125 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in n 8.125 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in n 8.125 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 8.125 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 8.125 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 8.125 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.125 * [taylor]: Taking taylor expansion of -1 in n 8.125 * [backup-simplify]: Simplify -1 into -1 8.125 * [taylor]: Taking taylor expansion of n in n 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [backup-simplify]: Simplify (/ -1 1) into -1 8.125 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 8.125 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 8.125 * [taylor]: Taking taylor expansion of (/ n i) in n 8.125 * [taylor]: Taking taylor expansion of n in n 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [taylor]: Taking taylor expansion of i in n 8.125 * [backup-simplify]: Simplify i into i 8.125 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.125 * [taylor]: Taking taylor expansion of 1 in n 8.125 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (+ 0 1) into 1 8.126 * [backup-simplify]: Simplify (log 1) into 0 8.126 * [backup-simplify]: Simplify (* -1 0) into 0 8.126 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 8.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 8.127 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 8.127 * [taylor]: Taking taylor expansion of i in n 8.127 * [backup-simplify]: Simplify i into i 8.127 * [taylor]: Taking taylor expansion of n in n 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (* (exp (- (/ 1 i))) i) into (* i (exp (- (/ 1 i)))) 8.128 * [backup-simplify]: Simplify (/ (* i (exp (- (/ 1 i)))) 1) into (* i (exp (- (/ 1 i)))) 8.128 * [taylor]: Taking taylor expansion of (/ i n) in n 8.128 * [taylor]: Taking taylor expansion of i in n 8.128 * [backup-simplify]: Simplify i into i 8.128 * [taylor]: Taking taylor expansion of n in n 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (/ i 1) into i 8.128 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in i 8.128 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i 8.128 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i 8.128 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.128 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.128 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.128 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.128 * [taylor]: Taking taylor expansion of -1 in i 8.128 * [backup-simplify]: Simplify -1 into -1 8.128 * [taylor]: Taking taylor expansion of n in i 8.128 * [backup-simplify]: Simplify n into n 8.128 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.128 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.128 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.128 * [taylor]: Taking taylor expansion of (/ n i) in i 8.128 * [taylor]: Taking taylor expansion of n in i 8.128 * [backup-simplify]: Simplify n into n 8.128 * [taylor]: Taking taylor expansion of i in i 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (/ n 1) into n 8.128 * [taylor]: Taking taylor expansion of 1 in i 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (+ n 0) into n 8.128 * [backup-simplify]: Simplify (log n) into (log n) 8.128 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.129 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.129 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.129 * [taylor]: Taking taylor expansion of i in i 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 1 into 1 8.129 * [taylor]: Taking taylor expansion of n in i 8.129 * [backup-simplify]: Simplify n into n 8.129 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0 8.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ 0 1) into 1 8.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.130 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.131 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 8.131 * [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))) 8.131 * [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))) 8.131 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) 8.131 * [taylor]: Taking taylor expansion of (/ i n) in i 8.131 * [taylor]: Taking taylor expansion of i in i 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.131 * [taylor]: Taking taylor expansion of n in i 8.131 * [backup-simplify]: Simplify n into n 8.131 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.131 * [taylor]: Taking taylor expansion of (- (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) (/ i n)) in i 8.131 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i 8.131 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i 8.131 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.131 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.131 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.131 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.131 * [taylor]: Taking taylor expansion of -1 in i 8.131 * [backup-simplify]: Simplify -1 into -1 8.131 * [taylor]: Taking taylor expansion of n in i 8.131 * [backup-simplify]: Simplify n into n 8.131 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.131 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.131 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.131 * [taylor]: Taking taylor expansion of (/ n i) in i 8.131 * [taylor]: Taking taylor expansion of n in i 8.131 * [backup-simplify]: Simplify n into n 8.131 * [taylor]: Taking taylor expansion of i in i 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (/ n 1) into n 8.132 * [taylor]: Taking taylor expansion of 1 in i 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (+ n 0) into n 8.132 * [backup-simplify]: Simplify (log n) into (log n) 8.132 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.132 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.132 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.132 * [taylor]: Taking taylor expansion of i in i 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [taylor]: Taking taylor expansion of n in i 8.132 * [backup-simplify]: Simplify n into n 8.132 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ 0 1) into 1 8.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.134 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.134 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 8.134 * [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))) 8.134 * [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))) 8.134 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) 8.134 * [taylor]: Taking taylor expansion of (/ i n) in i 8.135 * [taylor]: Taking taylor expansion of i in i 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 1 into 1 8.135 * [taylor]: Taking taylor expansion of n in i 8.135 * [backup-simplify]: Simplify n into n 8.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.135 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.135 * [backup-simplify]: Simplify (+ (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (- (/ 1 n))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 1 n)) 8.135 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) (/ 1 n)) in n 8.135 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) in n 8.135 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.135 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.135 * [taylor]: Taking taylor expansion of -1 in n 8.135 * [backup-simplify]: Simplify -1 into -1 8.135 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.135 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.135 * [taylor]: Taking taylor expansion of (log n) in n 8.135 * [taylor]: Taking taylor expansion of n in n 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 1 into 1 8.135 * [backup-simplify]: Simplify (log 1) into 0 8.135 * [taylor]: Taking taylor expansion of (log i) in n 8.135 * [taylor]: Taking taylor expansion of i in n 8.135 * [backup-simplify]: Simplify i into i 8.135 * [backup-simplify]: Simplify (log i) into (log i) 8.135 * [taylor]: Taking taylor expansion of n in n 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify 1 into 1 8.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.136 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.136 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.136 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.136 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.136 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.136 * [taylor]: Taking taylor expansion of n in n 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.136 * [taylor]: Taking taylor expansion of n in n 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [backup-simplify]: Simplify (/ 1 1) into 1 8.137 * [backup-simplify]: Simplify (- 1) into -1 8.137 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 8.137 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 8.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.139 * [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)) 8.139 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.140 * [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))) 8.140 * [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))))) 8.140 * [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))) 8.141 * [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))) 8.141 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 8.141 * [backup-simplify]: Simplify (- 0) into 0 8.141 * [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))) 8.141 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 8.141 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 8.141 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.141 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.141 * [taylor]: Taking taylor expansion of -1 in n 8.141 * [backup-simplify]: Simplify -1 into -1 8.141 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.141 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.141 * [taylor]: Taking taylor expansion of (log n) in n 8.141 * [taylor]: Taking taylor expansion of n in n 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (log 1) into 0 8.142 * [taylor]: Taking taylor expansion of (log i) in n 8.142 * [taylor]: Taking taylor expansion of i in n 8.142 * [backup-simplify]: Simplify i into i 8.142 * [backup-simplify]: Simplify (log i) into (log i) 8.142 * [taylor]: Taking taylor expansion of n in n 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.142 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.142 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.143 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.143 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.143 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.143 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.143 * [taylor]: Taking taylor expansion of n in n 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (* 1 1) into 1 8.144 * [backup-simplify]: Simplify (* 1 1) into 1 8.144 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (- 0) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.153 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.158 * [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)) 8.158 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.159 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.159 * [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)))) 8.160 * [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))))))) 8.161 * [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)))) 8.162 * [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)))) 8.162 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.163 * [backup-simplify]: Simplify (- 0) into 0 8.164 * [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)))) 8.164 * [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 8.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 8.164 * [taylor]: Taking taylor expansion of 1/2 in n 8.164 * [backup-simplify]: Simplify 1/2 into 1/2 8.164 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 8.164 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.164 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.164 * [taylor]: Taking taylor expansion of -1 in n 8.164 * [backup-simplify]: Simplify -1 into -1 8.164 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.164 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.164 * [taylor]: Taking taylor expansion of (log n) in n 8.164 * [taylor]: Taking taylor expansion of n in n 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (log 1) into 0 8.165 * [taylor]: Taking taylor expansion of (log i) in n 8.165 * [taylor]: Taking taylor expansion of i in n 8.165 * [backup-simplify]: Simplify i into i 8.165 * [backup-simplify]: Simplify (log i) into (log i) 8.165 * [taylor]: Taking taylor expansion of n in n 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.166 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.166 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.166 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.166 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.166 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.166 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.166 * [taylor]: Taking taylor expansion of n in n 8.167 * [backup-simplify]: Simplify 0 into 0 8.167 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (* 1 1) into 1 8.167 * [backup-simplify]: Simplify (* 1 1) into 1 8.168 * [backup-simplify]: Simplify (* 1 1) into 1 8.168 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 8.168 * [taylor]: Taking taylor expansion of 1/2 in n 8.168 * [backup-simplify]: Simplify 1/2 into 1/2 8.168 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 8.168 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.168 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.168 * [taylor]: Taking taylor expansion of -1 in n 8.168 * [backup-simplify]: Simplify -1 into -1 8.168 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.168 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.168 * [taylor]: Taking taylor expansion of (log n) in n 8.168 * [taylor]: Taking taylor expansion of n in n 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (log 1) into 0 8.169 * [taylor]: Taking taylor expansion of (log i) in n 8.169 * [taylor]: Taking taylor expansion of i in n 8.169 * [backup-simplify]: Simplify i into i 8.169 * [backup-simplify]: Simplify (log i) into (log i) 8.169 * [taylor]: Taking taylor expansion of n in n 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.169 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.170 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.170 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.170 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.170 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.170 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.170 * [taylor]: Taking taylor expansion of n in n 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (* 1 1) into 1 8.171 * [backup-simplify]: Simplify (* 1 1) into 1 8.171 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.195 * [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 8.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 8.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 8.210 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (- 0) into 0 8.215 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (- 0) into 0 8.218 * [backup-simplify]: Simplify (+ 0 0) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [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)) 8.223 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.223 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.223 * [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))) 8.224 * [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))))))) 8.225 * [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)))))) 8.227 * [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)))))) 8.227 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.227 * [backup-simplify]: Simplify (- 0) into 0 8.228 * [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)))))) 8.228 * [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 8.228 * [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 8.228 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 8.228 * [taylor]: Taking taylor expansion of 1/6 in n 8.228 * [backup-simplify]: Simplify 1/6 into 1/6 8.228 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 8.228 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.228 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.228 * [taylor]: Taking taylor expansion of -1 in n 8.228 * [backup-simplify]: Simplify -1 into -1 8.228 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.228 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.228 * [taylor]: Taking taylor expansion of (log n) in n 8.228 * [taylor]: Taking taylor expansion of n in n 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.228 * [backup-simplify]: Simplify (log 1) into 0 8.228 * [taylor]: Taking taylor expansion of (log i) in n 8.228 * [taylor]: Taking taylor expansion of i in n 8.228 * [backup-simplify]: Simplify i into i 8.228 * [backup-simplify]: Simplify (log i) into (log i) 8.228 * [taylor]: Taking taylor expansion of n in n 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.229 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.229 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.229 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.229 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.229 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.229 * [taylor]: Taking taylor expansion of (pow n 7) in n 8.229 * [taylor]: Taking taylor expansion of n in n 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (* 1 1) into 1 8.229 * [backup-simplify]: Simplify (* 1 1) into 1 8.230 * [backup-simplify]: Simplify (* 1 1) into 1 8.230 * [backup-simplify]: Simplify (* 1 1) into 1 8.230 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.230 * [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 8.230 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 8.230 * [taylor]: Taking taylor expansion of 1/3 in n 8.230 * [backup-simplify]: Simplify 1/3 into 1/3 8.230 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 8.230 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.230 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.230 * [taylor]: Taking taylor expansion of -1 in n 8.230 * [backup-simplify]: Simplify -1 into -1 8.230 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.230 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.230 * [taylor]: Taking taylor expansion of (log n) in n 8.230 * [taylor]: Taking taylor expansion of n in n 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.230 * [backup-simplify]: Simplify (log 1) into 0 8.230 * [taylor]: Taking taylor expansion of (log i) in n 8.230 * [taylor]: Taking taylor expansion of i in n 8.231 * [backup-simplify]: Simplify i into i 8.231 * [backup-simplify]: Simplify (log i) into (log i) 8.231 * [taylor]: Taking taylor expansion of n in n 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.231 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.231 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.231 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.231 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.231 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.231 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.231 * [taylor]: Taking taylor expansion of n in n 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (* 1 1) into 1 8.232 * [backup-simplify]: Simplify (* 1 1) into 1 8.232 * [backup-simplify]: Simplify (* 1 1) into 1 8.232 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 8.232 * [taylor]: Taking taylor expansion of 1/2 in n 8.232 * [backup-simplify]: Simplify 1/2 into 1/2 8.232 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 8.232 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.232 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.232 * [taylor]: Taking taylor expansion of -1 in n 8.232 * [backup-simplify]: Simplify -1 into -1 8.232 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.232 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.232 * [taylor]: Taking taylor expansion of (log n) in n 8.232 * [taylor]: Taking taylor expansion of n in n 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify 1 into 1 8.233 * [backup-simplify]: Simplify (log 1) into 0 8.233 * [taylor]: Taking taylor expansion of (log i) in n 8.233 * [taylor]: Taking taylor expansion of i in n 8.233 * [backup-simplify]: Simplify i into i 8.233 * [backup-simplify]: Simplify (log i) into (log i) 8.233 * [taylor]: Taking taylor expansion of n in n 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.233 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.233 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.233 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.233 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.233 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.233 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.233 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.233 * [taylor]: Taking taylor expansion of n in n 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.256 * [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 8.258 * [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 8.261 * [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 8.262 * [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 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.274 * [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 8.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 8.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.293 * [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 8.295 * [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 8.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 8.297 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (+ 0 0) into 0 8.297 * [backup-simplify]: Simplify (- 0) into 0 8.297 * [backup-simplify]: Simplify 0 into 0 8.298 * [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) 8.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 8.298 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n) 8.298 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0 8.298 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 8.298 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 8.298 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 8.298 * [taylor]: Taking taylor expansion of n in n 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify 1 into 1 8.298 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 8.298 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 8.298 * [taylor]: Taking taylor expansion of (/ i n) in n 8.298 * [taylor]: Taking taylor expansion of i in n 8.298 * [backup-simplify]: Simplify i into i 8.298 * [taylor]: Taking taylor expansion of n in n 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (/ i 1) into i 8.298 * [taylor]: Taking taylor expansion of 1 in n 8.298 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (+ i 0) into i 8.298 * [backup-simplify]: Simplify (log i) into (log i) 8.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 8.298 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (+ 0 1) into 1 8.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 8.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 8.300 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 8.300 * [backup-simplify]: Simplify (exp 0) into 1 8.300 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 8.300 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 8.300 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 8.300 * [taylor]: Taking taylor expansion of n in i 8.300 * [backup-simplify]: Simplify n into n 8.300 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 8.300 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 8.300 * [taylor]: Taking taylor expansion of (/ i n) in i 8.300 * [taylor]: Taking taylor expansion of i in i 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [taylor]: Taking taylor expansion of n in i 8.300 * [backup-simplify]: Simplify n into n 8.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.300 * [taylor]: Taking taylor expansion of 1 in i 8.300 * [backup-simplify]: Simplify 1 into 1 8.301 * [backup-simplify]: Simplify (+ 0 1) into 1 8.301 * [backup-simplify]: Simplify (log 1) into 0 8.301 * [backup-simplify]: Simplify (* n 0) into 0 8.301 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 8.302 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 8.302 * [backup-simplify]: Simplify (exp 0) into 1 8.302 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 8.302 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 8.302 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 8.302 * [taylor]: Taking taylor expansion of n in i 8.302 * [backup-simplify]: Simplify n into n 8.302 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 8.302 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 8.302 * [taylor]: Taking taylor expansion of (/ i n) in i 8.302 * [taylor]: Taking taylor expansion of i in i 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [taylor]: Taking taylor expansion of n in i 8.302 * [backup-simplify]: Simplify n into n 8.302 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.302 * [taylor]: Taking taylor expansion of 1 in i 8.302 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (+ 0 1) into 1 8.302 * [backup-simplify]: Simplify (log 1) into 0 8.302 * [backup-simplify]: Simplify (* n 0) into 0 8.303 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 8.303 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 8.303 * [backup-simplify]: Simplify (exp 0) into 1 8.303 * [taylor]: Taking taylor expansion of 1 in n 8.303 * [backup-simplify]: Simplify 1 into 1 8.303 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.304 * [taylor]: Taking taylor expansion of 1 in n 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 8.304 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [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)) 8.306 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 8.307 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 8.307 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n 8.307 * [taylor]: Taking taylor expansion of 1/2 in n 8.307 * [backup-simplify]: Simplify 1/2 into 1/2 8.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.307 * [taylor]: Taking taylor expansion of 1/2 in n 8.307 * [backup-simplify]: Simplify 1/2 into 1/2 8.307 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.307 * [taylor]: Taking taylor expansion of n in n 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.309 * [backup-simplify]: Simplify (- 0) into 0 8.310 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.310 * [backup-simplify]: Simplify 1/2 into 1/2 8.310 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1)) 8.310 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n)) 8.310 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0 8.310 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 8.310 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 8.310 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 8.310 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.310 * [taylor]: Taking taylor expansion of n in n 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 1 into 1 8.310 * [backup-simplify]: Simplify (/ 1 1) into 1 8.310 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 8.311 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 8.311 * [taylor]: Taking taylor expansion of (/ n i) in n 8.311 * [taylor]: Taking taylor expansion of n in n 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of i in n 8.311 * [backup-simplify]: Simplify i into i 8.311 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.311 * [taylor]: Taking taylor expansion of 1 in n 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [backup-simplify]: Simplify (+ 0 1) into 1 8.311 * [backup-simplify]: Simplify (log 1) into 0 8.312 * [backup-simplify]: Simplify (* 1 0) into 0 8.312 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 8.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 8.313 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 8.313 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 8.313 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 8.313 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 8.313 * [taylor]: Taking taylor expansion of (/ 1 n) in i 8.313 * [taylor]: Taking taylor expansion of n in i 8.313 * [backup-simplify]: Simplify n into n 8.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.313 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.313 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.313 * [taylor]: Taking taylor expansion of (/ n i) in i 8.313 * [taylor]: Taking taylor expansion of n in i 8.313 * [backup-simplify]: Simplify n into n 8.313 * [taylor]: Taking taylor expansion of i in i 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (/ n 1) into n 8.313 * [taylor]: Taking taylor expansion of 1 in i 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (+ n 0) into n 8.314 * [backup-simplify]: Simplify (log n) into (log n) 8.314 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.314 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 8.314 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.314 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 8.314 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 8.314 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 8.314 * [taylor]: Taking taylor expansion of (/ 1 n) in i 8.314 * [taylor]: Taking taylor expansion of n in i 8.314 * [backup-simplify]: Simplify n into n 8.314 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.314 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.314 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.314 * [taylor]: Taking taylor expansion of (/ n i) in i 8.314 * [taylor]: Taking taylor expansion of n in i 8.314 * [backup-simplify]: Simplify n into n 8.314 * [taylor]: Taking taylor expansion of i in i 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (/ n 1) into n 8.314 * [taylor]: Taking taylor expansion of 1 in i 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (+ n 0) into n 8.314 * [backup-simplify]: Simplify (log n) into (log n) 8.315 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.315 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 8.315 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.315 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.315 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.315 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.315 * [taylor]: Taking taylor expansion of (log n) in n 8.315 * [taylor]: Taking taylor expansion of n in n 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (log 1) into 0 8.315 * [taylor]: Taking taylor expansion of (log i) in n 8.315 * [taylor]: Taking taylor expansion of i in n 8.315 * [backup-simplify]: Simplify i into i 8.315 * [backup-simplify]: Simplify (log i) into (log i) 8.315 * [taylor]: Taking taylor expansion of n in n 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.316 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.316 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.316 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.316 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.316 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ 0 1) into 1 8.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.318 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 8.318 * [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)) 8.318 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n 8.318 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.318 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.318 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.318 * [taylor]: Taking taylor expansion of (log n) in n 8.318 * [taylor]: Taking taylor expansion of n in n 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (log 1) into 0 8.318 * [taylor]: Taking taylor expansion of (log i) in n 8.318 * [taylor]: Taking taylor expansion of i in n 8.318 * [backup-simplify]: Simplify i into i 8.318 * [backup-simplify]: Simplify (log i) into (log i) 8.318 * [taylor]: Taking taylor expansion of n in n 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.319 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.319 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.319 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.319 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.319 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.319 * [taylor]: Taking taylor expansion of n in n 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (* 1 1) into 1 8.319 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.324 * [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)) 8.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.325 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.325 * [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)))) 8.325 * [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))) 8.325 * [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 8.325 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n 8.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 8.325 * [taylor]: Taking taylor expansion of 1/2 in n 8.325 * [backup-simplify]: Simplify 1/2 into 1/2 8.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 8.325 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.325 * [taylor]: Taking taylor expansion of n in n 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.326 * [backup-simplify]: Simplify (/ 1 1) into 1 8.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 8.326 * [taylor]: Taking taylor expansion of 1/2 in n 8.326 * [backup-simplify]: Simplify 1/2 into 1/2 8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.326 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.326 * [taylor]: Taking taylor expansion of n in n 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.327 * [backup-simplify]: Simplify (* 1 1) into 1 8.327 * [backup-simplify]: Simplify (/ 1 1) into 1 8.327 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.327 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.327 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.327 * [taylor]: Taking taylor expansion of (log n) in n 8.327 * [taylor]: Taking taylor expansion of n in n 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 1 into 1 8.327 * [backup-simplify]: Simplify (log 1) into 0 8.327 * [taylor]: Taking taylor expansion of (log i) in n 8.327 * [taylor]: Taking taylor expansion of i in n 8.327 * [backup-simplify]: Simplify i into i 8.327 * [backup-simplify]: Simplify (log i) into (log i) 8.327 * [taylor]: Taking taylor expansion of n in n 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.328 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.328 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.328 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.328 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.328 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.328 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.331 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.331 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.335 * [backup-simplify]: Simplify (- 0) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.340 * [backup-simplify]: Simplify (- 0) into 0 8.340 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (- 0) into 0 8.346 * [backup-simplify]: Simplify (+ 0 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (+ 0 0) into 0 8.352 * [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)) 8.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.353 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.353 * [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))) 8.353 * [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))))) 8.353 * [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 8.353 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.353 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.353 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.353 * [taylor]: Taking taylor expansion of (log n) in n 8.353 * [taylor]: Taking taylor expansion of n in n 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (log 1) into 0 8.354 * [taylor]: Taking taylor expansion of (log i) in n 8.354 * [taylor]: Taking taylor expansion of i in n 8.354 * [backup-simplify]: Simplify i into i 8.354 * [backup-simplify]: Simplify (log i) into (log i) 8.354 * [taylor]: Taking taylor expansion of n in n 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.354 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.354 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.354 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.354 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.354 * [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 8.354 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n 8.354 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 8.354 * [taylor]: Taking taylor expansion of 1/6 in n 8.354 * [backup-simplify]: Simplify 1/6 into 1/6 8.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 8.354 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.354 * [taylor]: Taking taylor expansion of n in n 8.354 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (* 1 1) into 1 8.355 * [backup-simplify]: Simplify (* 1 1) into 1 8.355 * [backup-simplify]: Simplify (* 1 1) into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.356 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 8.356 * [taylor]: Taking taylor expansion of 1/3 in n 8.356 * [backup-simplify]: Simplify 1/3 into 1/3 8.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 8.356 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.356 * [taylor]: Taking taylor expansion of n in n 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 1 into 1 8.356 * [backup-simplify]: Simplify (* 1 1) into 1 8.356 * [backup-simplify]: Simplify (* 1 1) into 1 8.356 * [backup-simplify]: Simplify (/ 1 1) into 1 8.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 8.356 * [taylor]: Taking taylor expansion of 1/2 in n 8.356 * [backup-simplify]: Simplify 1/2 into 1/2 8.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 8.356 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.356 * [taylor]: Taking taylor expansion of n in n 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 1 into 1 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (/ 1 1) into 1 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.401 * [backup-simplify]: Simplify (- 0) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.405 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ 0 0) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 8.408 * [backup-simplify]: Simplify (+ 0 0) into 0 8.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (- 0) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 8.413 * [backup-simplify]: Simplify (+ 0 0) into 0 8.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.417 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 8.417 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 8.418 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 8.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.419 * [backup-simplify]: Simplify (- 0) into 0 8.419 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 8.420 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.421 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.421 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.421 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.422 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 8.422 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 8.422 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 8.424 * [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 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 8.424 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n)) 8.424 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0 8.424 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 8.424 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 8.424 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 8.424 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.424 * [taylor]: Taking taylor expansion of -1 in n 8.424 * [backup-simplify]: Simplify -1 into -1 8.424 * [taylor]: Taking taylor expansion of n in n 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 1 into 1 8.424 * [backup-simplify]: Simplify (/ -1 1) into -1 8.424 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 8.424 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 8.424 * [taylor]: Taking taylor expansion of (/ n i) in n 8.424 * [taylor]: Taking taylor expansion of n in n 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 1 into 1 8.424 * [taylor]: Taking taylor expansion of i in n 8.424 * [backup-simplify]: Simplify i into i 8.424 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.424 * [taylor]: Taking taylor expansion of 1 in n 8.424 * [backup-simplify]: Simplify 1 into 1 8.425 * [backup-simplify]: Simplify (+ 0 1) into 1 8.425 * [backup-simplify]: Simplify (log 1) into 0 8.425 * [backup-simplify]: Simplify (* -1 0) into 0 8.425 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 8.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 8.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 8.427 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 8.427 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.427 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.427 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.427 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.427 * [taylor]: Taking taylor expansion of -1 in i 8.427 * [backup-simplify]: Simplify -1 into -1 8.427 * [taylor]: Taking taylor expansion of n in i 8.427 * [backup-simplify]: Simplify n into n 8.427 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.427 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.427 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.427 * [taylor]: Taking taylor expansion of (/ n i) in i 8.427 * [taylor]: Taking taylor expansion of n in i 8.427 * [backup-simplify]: Simplify n into n 8.427 * [taylor]: Taking taylor expansion of i in i 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (/ n 1) into n 8.427 * [taylor]: Taking taylor expansion of 1 in i 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (+ n 0) into n 8.427 * [backup-simplify]: Simplify (log n) into (log n) 8.427 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.427 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.427 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.427 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.427 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.427 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.427 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.427 * [taylor]: Taking taylor expansion of -1 in i 8.427 * [backup-simplify]: Simplify -1 into -1 8.428 * [taylor]: Taking taylor expansion of n in i 8.428 * [backup-simplify]: Simplify n into n 8.428 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.428 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.428 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.428 * [taylor]: Taking taylor expansion of (/ n i) in i 8.428 * [taylor]: Taking taylor expansion of n in i 8.428 * [backup-simplify]: Simplify n into n 8.428 * [taylor]: Taking taylor expansion of i in i 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ n 1) into n 8.428 * [taylor]: Taking taylor expansion of 1 in i 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (+ n 0) into n 8.428 * [backup-simplify]: Simplify (log n) into (log n) 8.428 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.428 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.428 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.428 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.428 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.428 * [taylor]: Taking taylor expansion of -1 in n 8.428 * [backup-simplify]: Simplify -1 into -1 8.428 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.428 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.428 * [taylor]: Taking taylor expansion of (log n) in n 8.428 * [taylor]: Taking taylor expansion of n in n 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (log 1) into 0 8.429 * [taylor]: Taking taylor expansion of (log i) in n 8.429 * [taylor]: Taking taylor expansion of i in n 8.429 * [backup-simplify]: Simplify i into i 8.429 * [backup-simplify]: Simplify (log i) into (log i) 8.429 * [taylor]: Taking taylor expansion of n in n 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.429 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.429 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.429 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.429 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.429 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.430 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ 0 1) into 1 8.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.431 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 8.431 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.431 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 8.431 * [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))) 8.431 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n 8.431 * [taylor]: Taking taylor expansion of -1 in n 8.432 * [backup-simplify]: Simplify -1 into -1 8.432 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n 8.432 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.432 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.432 * [taylor]: Taking taylor expansion of -1 in n 8.432 * [backup-simplify]: Simplify -1 into -1 8.432 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.432 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.432 * [taylor]: Taking taylor expansion of (log n) in n 8.432 * [taylor]: Taking taylor expansion of n in n 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (log 1) into 0 8.432 * [taylor]: Taking taylor expansion of (log i) in n 8.432 * [taylor]: Taking taylor expansion of i in n 8.432 * [backup-simplify]: Simplify i into i 8.432 * [backup-simplify]: Simplify (log i) into (log i) 8.432 * [taylor]: Taking taylor expansion of n in n 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.432 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.432 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.432 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.433 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.433 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.433 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.433 * [taylor]: Taking taylor expansion of n in n 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [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)) 8.438 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.439 * [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))) 8.439 * [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))))) 8.439 * [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 8.439 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.439 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.439 * [taylor]: Taking taylor expansion of -1 in n 8.439 * [backup-simplify]: Simplify -1 into -1 8.439 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.439 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.439 * [taylor]: Taking taylor expansion of (log n) in n 8.439 * [taylor]: Taking taylor expansion of n in n 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (log 1) into 0 8.439 * [taylor]: Taking taylor expansion of (log i) in n 8.439 * [taylor]: Taking taylor expansion of i in n 8.439 * [backup-simplify]: Simplify i into i 8.440 * [backup-simplify]: Simplify (log i) into (log i) 8.440 * [taylor]: Taking taylor expansion of n in n 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.440 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.440 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.440 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.440 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.440 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.440 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n 8.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 8.440 * [taylor]: Taking taylor expansion of 1/2 in n 8.440 * [backup-simplify]: Simplify 1/2 into 1/2 8.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.440 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.440 * [taylor]: Taking taylor expansion of n in n 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (/ 1 1) into 1 8.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 8.441 * [taylor]: Taking taylor expansion of 1/2 in n 8.441 * [backup-simplify]: Simplify 1/2 into 1/2 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 8.441 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.441 * [taylor]: Taking taylor expansion of n in n 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.442 * [backup-simplify]: Simplify (* 1 1) into 1 8.442 * [backup-simplify]: Simplify (/ 1 1) into 1 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.456 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (+ 0 0) into 0 8.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.459 * [backup-simplify]: Simplify (+ 0 0) into 0 8.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.460 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.460 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.461 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.461 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [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)) 8.467 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.468 * [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)))) 8.468 * [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))))))) 8.468 * [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 8.468 * [taylor]: Taking taylor expansion of -1 in n 8.468 * [backup-simplify]: Simplify -1 into -1 8.468 * [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 8.468 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.468 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.468 * [taylor]: Taking taylor expansion of -1 in n 8.468 * [backup-simplify]: Simplify -1 into -1 8.468 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.468 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.468 * [taylor]: Taking taylor expansion of (log n) in n 8.468 * [taylor]: Taking taylor expansion of n in n 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (log 1) into 0 8.469 * [taylor]: Taking taylor expansion of (log i) in n 8.469 * [taylor]: Taking taylor expansion of i in n 8.469 * [backup-simplify]: Simplify i into i 8.469 * [backup-simplify]: Simplify (log i) into (log i) 8.469 * [taylor]: Taking taylor expansion of n in n 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.469 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.469 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.469 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.469 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.469 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.469 * [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 8.469 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 8.469 * [taylor]: Taking taylor expansion of 1/6 in n 8.469 * [backup-simplify]: Simplify 1/6 into 1/6 8.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 8.469 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.469 * [taylor]: Taking taylor expansion of n in n 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n 8.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 8.470 * [taylor]: Taking taylor expansion of 1/2 in n 8.470 * [backup-simplify]: Simplify 1/2 into 1/2 8.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 8.470 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.471 * [taylor]: Taking taylor expansion of n in n 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.471 * [backup-simplify]: Simplify (/ 1 1) into 1 8.471 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 8.472 * [taylor]: Taking taylor expansion of 1/3 in n 8.472 * [backup-simplify]: Simplify 1/3 into 1/3 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 8.472 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.472 * [taylor]: Taking taylor expansion of n in n 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (/ 1 1) into 1 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.519 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 8.525 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (+ 0 0) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 8.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.527 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 8.527 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 8.527 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 8.528 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.528 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.528 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.529 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 8.529 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 8.530 * [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 8.531 * [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 8.532 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0 8.533 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0 8.533 * [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)))) 8.534 * [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)))) 8.534 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n)))) 8.537 * [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 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 8.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 8.537 * [backup-simplify]: Simplify (/ 1 (/ i n)) into (/ n i) 8.537 * [approximate]: Taking taylor expansion of (/ n i) in (i n) around 0 8.537 * [taylor]: Taking taylor expansion of (/ n i) in n 8.537 * [taylor]: Taking taylor expansion of n in n 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of i in n 8.537 * [backup-simplify]: Simplify i into i 8.538 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.538 * [taylor]: Taking taylor expansion of (/ n i) in i 8.538 * [taylor]: Taking taylor expansion of n in i 8.538 * [backup-simplify]: Simplify n into n 8.538 * [taylor]: Taking taylor expansion of i in i 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ n 1) into n 8.538 * [taylor]: Taking taylor expansion of (/ n i) in i 8.538 * [taylor]: Taking taylor expansion of n in i 8.538 * [backup-simplify]: Simplify n into n 8.538 * [taylor]: Taking taylor expansion of i in i 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ n 1) into n 8.538 * [taylor]: Taking taylor expansion of n in n 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.539 * [taylor]: Taking taylor expansion of 0 in n 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [taylor]: Taking taylor expansion of 0 in n 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.541 * [taylor]: Taking taylor expansion of 0 in n 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (* 1 (* n (/ 1 i))) into (/ n i) 8.541 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 i) (/ 1 n))) into (/ i n) 8.541 * [approximate]: Taking taylor expansion of (/ i n) in (i n) around 0 8.541 * [taylor]: Taking taylor expansion of (/ i n) in n 8.541 * [taylor]: Taking taylor expansion of i in n 8.541 * [backup-simplify]: Simplify i into i 8.541 * [taylor]: Taking taylor expansion of n in n 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ i 1) into i 8.541 * [taylor]: Taking taylor expansion of (/ i n) in i 8.541 * [taylor]: Taking taylor expansion of i in i 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [taylor]: Taking taylor expansion of n in i 8.541 * [backup-simplify]: Simplify n into n 8.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.541 * [taylor]: Taking taylor expansion of (/ i n) in i 8.541 * [taylor]: Taking taylor expansion of i in i 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [taylor]: Taking taylor expansion of n in i 8.541 * [backup-simplify]: Simplify n into n 8.541 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.541 * [taylor]: Taking taylor expansion of n in n 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 8.542 * [taylor]: Taking taylor expansion of 0 in n 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.542 * [taylor]: Taking taylor expansion of 0 in n 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.543 * [taylor]: Taking taylor expansion of 0 in n 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ n i) 8.544 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ i n) 8.544 * [approximate]: Taking taylor expansion of (/ i n) in (i n) around 0 8.544 * [taylor]: Taking taylor expansion of (/ i n) in n 8.544 * [taylor]: Taking taylor expansion of i in n 8.544 * [backup-simplify]: Simplify i into i 8.544 * [taylor]: Taking taylor expansion of n in n 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ i 1) into i 8.544 * [taylor]: Taking taylor expansion of (/ i n) in i 8.544 * [taylor]: Taking taylor expansion of i in i 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [taylor]: Taking taylor expansion of n in i 8.544 * [backup-simplify]: Simplify n into n 8.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.544 * [taylor]: Taking taylor expansion of (/ i n) in i 8.544 * [taylor]: Taking taylor expansion of i in i 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [taylor]: Taking taylor expansion of n in i 8.544 * [backup-simplify]: Simplify n into n 8.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.544 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.544 * [taylor]: Taking taylor expansion of n in n 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (/ 1 1) into 1 8.545 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 8.545 * [taylor]: Taking taylor expansion of 0 in n 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.545 * [taylor]: Taking taylor expansion of 0 in n 8.545 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.546 * [taylor]: Taking taylor expansion of 0 in n 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ n i) 8.547 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.547 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ i n)) n) (/ i n)) into (/ (* n (pow (+ (/ i n) 1) n)) i) 8.547 * [approximate]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in (i n) around 0 8.547 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in n 8.547 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in n 8.547 * [taylor]: Taking taylor expansion of n in n 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 8.547 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 8.547 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 8.547 * [taylor]: Taking taylor expansion of n in n 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 8.547 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 8.547 * [taylor]: Taking taylor expansion of (/ i n) in n 8.547 * [taylor]: Taking taylor expansion of i in n 8.547 * [backup-simplify]: Simplify i into i 8.547 * [taylor]: Taking taylor expansion of n in n 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (/ i 1) into i 8.547 * [taylor]: Taking taylor expansion of 1 in n 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (+ i 0) into i 8.547 * [backup-simplify]: Simplify (log i) into (log i) 8.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 8.548 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 8.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (+ 0 1) into 1 8.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 8.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 8.549 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 8.549 * [backup-simplify]: Simplify (exp 0) into 1 8.549 * [taylor]: Taking taylor expansion of i in n 8.549 * [backup-simplify]: Simplify i into i 8.550 * [backup-simplify]: Simplify (* 0 1) into 0 8.550 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 8.550 * [backup-simplify]: Simplify (+ (* 0 (- (log i) (log n))) (* 1 1)) into 1 8.550 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.550 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i 8.550 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i 8.550 * [taylor]: Taking taylor expansion of n in i 8.550 * [backup-simplify]: Simplify n into n 8.550 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 8.550 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 8.550 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 8.550 * [taylor]: Taking taylor expansion of n in i 8.550 * [backup-simplify]: Simplify n into n 8.550 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 8.550 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 8.550 * [taylor]: Taking taylor expansion of (/ i n) in i 8.550 * [taylor]: Taking taylor expansion of i in i 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [taylor]: Taking taylor expansion of n in i 8.550 * [backup-simplify]: Simplify n into n 8.550 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.550 * [taylor]: Taking taylor expansion of 1 in i 8.551 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (+ 0 1) into 1 8.551 * [backup-simplify]: Simplify (log 1) into 0 8.551 * [backup-simplify]: Simplify (* n 0) into 0 8.551 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 8.552 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 8.552 * [backup-simplify]: Simplify (exp 0) into 1 8.552 * [taylor]: Taking taylor expansion of i in i 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (* n 1) into n 8.552 * [backup-simplify]: Simplify (/ n 1) into n 8.552 * [taylor]: Taking taylor expansion of (/ (* n (pow (+ (/ i n) 1) n)) i) in i 8.552 * [taylor]: Taking taylor expansion of (* n (pow (+ (/ i n) 1) n)) in i 8.552 * [taylor]: Taking taylor expansion of n in i 8.552 * [backup-simplify]: Simplify n into n 8.552 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 8.552 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 8.552 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 8.552 * [taylor]: Taking taylor expansion of n in i 8.552 * [backup-simplify]: Simplify n into n 8.552 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 8.552 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 8.552 * [taylor]: Taking taylor expansion of (/ i n) in i 8.552 * [taylor]: Taking taylor expansion of i in i 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [taylor]: Taking taylor expansion of n in i 8.552 * [backup-simplify]: Simplify n into n 8.552 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.552 * [taylor]: Taking taylor expansion of 1 in i 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (+ 0 1) into 1 8.553 * [backup-simplify]: Simplify (log 1) into 0 8.553 * [backup-simplify]: Simplify (* n 0) into 0 8.553 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 8.553 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 8.553 * [backup-simplify]: Simplify (exp 0) into 1 8.553 * [taylor]: Taking taylor expansion of i in i 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (* n 1) into n 8.554 * [backup-simplify]: Simplify (/ n 1) into n 8.554 * [taylor]: Taking taylor expansion of n in n 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify 1 into 1 8.554 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 8.555 * [backup-simplify]: Simplify (+ (* n 1) (* 0 1)) into n 8.555 * [backup-simplify]: Simplify (- (/ n 1) (+ (* n (/ 0 1)))) into n 8.555 * [taylor]: Taking taylor expansion of n in n 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [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)) 8.557 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 8.557 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 8.558 * [backup-simplify]: Simplify (+ (* n (- 1/2 (* 1/2 (/ 1 n)))) (+ (* 0 1) (* 0 1))) into (- (* 1/2 n) 1/2) 8.558 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)) (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 8.558 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n 8.558 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.558 * [taylor]: Taking taylor expansion of 1/2 in n 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.558 * [taylor]: Taking taylor expansion of n in n 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [taylor]: Taking taylor expansion of 1/2 in n 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.559 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.559 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.559 * [backup-simplify]: Simplify 1/2 into 1/2 8.559 * [backup-simplify]: Simplify (+ (* 1/2 (* n i)) (+ (* 1 (* n 1)) (* 1 (* n (/ 1 i))))) into (+ (/ n i) (+ n (* 1/2 (* i n)))) 8.560 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) (/ (/ 1 i) (/ 1 n))) into (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) 8.560 * [approximate]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in (i n) around 0 8.560 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in n 8.560 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in n 8.560 * [taylor]: Taking taylor expansion of i in n 8.560 * [backup-simplify]: Simplify i into i 8.560 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 8.560 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 8.560 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 8.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.560 * [taylor]: Taking taylor expansion of n in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (/ 1 1) into 1 8.560 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 8.560 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 8.560 * [taylor]: Taking taylor expansion of (/ n i) in n 8.560 * [taylor]: Taking taylor expansion of n in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [taylor]: Taking taylor expansion of i in n 8.560 * [backup-simplify]: Simplify i into i 8.560 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.560 * [taylor]: Taking taylor expansion of 1 in n 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (+ 0 1) into 1 8.561 * [backup-simplify]: Simplify (log 1) into 0 8.561 * [backup-simplify]: Simplify (* 1 0) into 0 8.561 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 8.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 8.562 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 8.562 * [taylor]: Taking taylor expansion of n in n 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (* i (exp (/ 1 i))) into (* i (exp (/ 1 i))) 8.562 * [backup-simplify]: Simplify (/ (* i (exp (/ 1 i))) 1) into (* i (exp (/ 1 i))) 8.562 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i 8.562 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i 8.562 * [taylor]: Taking taylor expansion of i in i 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 8.562 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 8.562 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 8.562 * [taylor]: Taking taylor expansion of (/ 1 n) in i 8.562 * [taylor]: Taking taylor expansion of n in i 8.562 * [backup-simplify]: Simplify n into n 8.562 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.562 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.562 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.563 * [taylor]: Taking taylor expansion of (/ n i) in i 8.563 * [taylor]: Taking taylor expansion of n in i 8.563 * [backup-simplify]: Simplify n into n 8.563 * [taylor]: Taking taylor expansion of i in i 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (/ n 1) into n 8.563 * [taylor]: Taking taylor expansion of 1 in i 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (+ n 0) into n 8.563 * [backup-simplify]: Simplify (log n) into (log n) 8.563 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.563 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 8.563 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.563 * [taylor]: Taking taylor expansion of n in i 8.563 * [backup-simplify]: Simplify n into n 8.563 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0 8.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ 0 1) into 1 8.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.565 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 8.565 * [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)) 8.565 * [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)) 8.565 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n) 8.565 * [taylor]: Taking taylor expansion of (/ (* i (pow (+ (/ n i) 1) (/ 1 n))) n) in i 8.565 * [taylor]: Taking taylor expansion of (* i (pow (+ (/ n i) 1) (/ 1 n))) in i 8.565 * [taylor]: Taking taylor expansion of i in i 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 1 into 1 8.565 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 8.565 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 8.566 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 8.566 * [taylor]: Taking taylor expansion of (/ 1 n) in i 8.566 * [taylor]: Taking taylor expansion of n in i 8.566 * [backup-simplify]: Simplify n into n 8.566 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.566 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.566 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.566 * [taylor]: Taking taylor expansion of (/ n i) in i 8.566 * [taylor]: Taking taylor expansion of n in i 8.566 * [backup-simplify]: Simplify n into n 8.566 * [taylor]: Taking taylor expansion of i in i 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (/ n 1) into n 8.566 * [taylor]: Taking taylor expansion of 1 in i 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (+ n 0) into n 8.566 * [backup-simplify]: Simplify (log n) into (log n) 8.566 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.566 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 8.566 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.566 * [taylor]: Taking taylor expansion of n in i 8.566 * [backup-simplify]: Simplify n into n 8.566 * [backup-simplify]: Simplify (* 0 (exp (/ (- (log n) (log i)) n))) into 0 8.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (+ 0 1) into 1 8.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.568 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.568 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 8.568 * [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)) 8.568 * [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)) 8.568 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) n) into (/ (exp (/ (- (log n) (log i)) n)) n) 8.568 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) n) in n 8.569 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.569 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.569 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.569 * [taylor]: Taking taylor expansion of (log n) in n 8.569 * [taylor]: Taking taylor expansion of n in n 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (log 1) into 0 8.569 * [taylor]: Taking taylor expansion of (log i) in n 8.569 * [taylor]: Taking taylor expansion of i in n 8.569 * [backup-simplify]: Simplify i into i 8.569 * [backup-simplify]: Simplify (log i) into (log i) 8.569 * [taylor]: Taking taylor expansion of n in n 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.569 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.569 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.570 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.570 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.570 * [taylor]: Taking taylor expansion of n in n 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.570 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.572 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [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)) 8.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.574 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.575 * [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)))) 8.575 * [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))) 8.576 * [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)) 8.576 * [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)) 8.576 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 8.576 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.576 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.577 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.577 * [taylor]: Taking taylor expansion of (log n) in n 8.577 * [taylor]: Taking taylor expansion of n in n 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (log 1) into 0 8.577 * [taylor]: Taking taylor expansion of (log i) in n 8.577 * [taylor]: Taking taylor expansion of i in n 8.577 * [backup-simplify]: Simplify i into i 8.577 * [backup-simplify]: Simplify (log i) into (log i) 8.577 * [taylor]: Taking taylor expansion of n in n 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.578 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.578 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.578 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.578 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.578 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.578 * [taylor]: Taking taylor expansion of n in n 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.579 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [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)) 8.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.591 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.591 * [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))) 8.592 * [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))))) 8.592 * [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)))) 8.593 * [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)))) 8.593 * [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 8.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 8.593 * [taylor]: Taking taylor expansion of 1/2 in n 8.593 * [backup-simplify]: Simplify 1/2 into 1/2 8.593 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 8.593 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.593 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.593 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.593 * [taylor]: Taking taylor expansion of (log n) in n 8.593 * [taylor]: Taking taylor expansion of n in n 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (log 1) into 0 8.593 * [taylor]: Taking taylor expansion of (log i) in n 8.593 * [taylor]: Taking taylor expansion of i in n 8.593 * [backup-simplify]: Simplify i into i 8.593 * [backup-simplify]: Simplify (log i) into (log i) 8.594 * [taylor]: Taking taylor expansion of n in n 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.594 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.594 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.594 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.594 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.594 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.594 * [taylor]: Taking taylor expansion of n in n 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (* 1 1) into 1 8.595 * [backup-simplify]: Simplify (* 1 1) into 1 8.595 * [backup-simplify]: Simplify (* 1 1) into 1 8.595 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 8.595 * [taylor]: Taking taylor expansion of 1/2 in n 8.595 * [backup-simplify]: Simplify 1/2 into 1/2 8.595 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 8.595 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.595 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.595 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.595 * [taylor]: Taking taylor expansion of (log n) in n 8.595 * [taylor]: Taking taylor expansion of n in n 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [backup-simplify]: Simplify (log 1) into 0 8.595 * [taylor]: Taking taylor expansion of (log i) in n 8.595 * [taylor]: Taking taylor expansion of i in n 8.595 * [backup-simplify]: Simplify i into i 8.595 * [backup-simplify]: Simplify (log i) into (log i) 8.595 * [taylor]: Taking taylor expansion of n in n 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.596 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.596 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.596 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.596 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.596 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.596 * [taylor]: Taking taylor expansion of n in n 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* 1 1) into 1 8.596 * [backup-simplify]: Simplify (* 1 1) into 1 8.597 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [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)) 8.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.627 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.627 * [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)))) 8.628 * [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)))))) 8.629 * [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)))) 8.630 * [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)))) 8.630 * [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 8.630 * [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 8.630 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 8.630 * [taylor]: Taking taylor expansion of 1/6 in n 8.630 * [backup-simplify]: Simplify 1/6 into 1/6 8.630 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 8.630 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.630 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.630 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.630 * [taylor]: Taking taylor expansion of (log n) in n 8.630 * [taylor]: Taking taylor expansion of n in n 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (log 1) into 0 8.630 * [taylor]: Taking taylor expansion of (log i) in n 8.630 * [taylor]: Taking taylor expansion of i in n 8.630 * [backup-simplify]: Simplify i into i 8.630 * [backup-simplify]: Simplify (log i) into (log i) 8.630 * [taylor]: Taking taylor expansion of n in n 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.631 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.631 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.631 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.631 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.631 * [taylor]: Taking taylor expansion of (pow n 7) in n 8.631 * [taylor]: Taking taylor expansion of n in n 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.632 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 8.632 * [taylor]: Taking taylor expansion of 1/3 in n 8.632 * [backup-simplify]: Simplify 1/3 into 1/3 8.632 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 8.632 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.632 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.632 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.632 * [taylor]: Taking taylor expansion of (log n) in n 8.632 * [taylor]: Taking taylor expansion of n in n 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (log 1) into 0 8.633 * [taylor]: Taking taylor expansion of (log i) in n 8.633 * [taylor]: Taking taylor expansion of i in n 8.633 * [backup-simplify]: Simplify i into i 8.633 * [backup-simplify]: Simplify (log i) into (log i) 8.633 * [taylor]: Taking taylor expansion of n in n 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.633 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.633 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.633 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.633 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.633 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.633 * [taylor]: Taking taylor expansion of n in n 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.634 * [backup-simplify]: Simplify (* 1 1) into 1 8.634 * [backup-simplify]: Simplify (* 1 1) into 1 8.634 * [backup-simplify]: Simplify (* 1 1) into 1 8.634 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 8.634 * [taylor]: Taking taylor expansion of 1/2 in n 8.634 * [backup-simplify]: Simplify 1/2 into 1/2 8.634 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 8.634 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 8.634 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.634 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.634 * [taylor]: Taking taylor expansion of (log n) in n 8.634 * [taylor]: Taking taylor expansion of n in n 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (log 1) into 0 8.635 * [taylor]: Taking taylor expansion of (log i) in n 8.635 * [taylor]: Taking taylor expansion of i in n 8.635 * [backup-simplify]: Simplify i into i 8.635 * [backup-simplify]: Simplify (log i) into (log i) 8.635 * [taylor]: Taking taylor expansion of n in n 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.635 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.635 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.635 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.635 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 8.635 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.635 * [taylor]: Taking taylor expansion of n in n 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (* 1 1) into 1 8.636 * [backup-simplify]: Simplify (* 1 1) into 1 8.636 * [backup-simplify]: Simplify (* 1 1) into 1 8.636 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [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 8.661 * [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 8.662 * [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 8.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 8.682 * [backup-simplify]: Simplify (+ 0 0) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [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 8.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 8.701 * [backup-simplify]: Simplify (- 0) into 0 8.701 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [backup-simplify]: Simplify 0 into 0 8.702 * [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) 8.702 * [backup-simplify]: Simplify (/ (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) 8.702 * [approximate]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in (i n) around 0 8.702 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in n 8.702 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in n 8.702 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 8.702 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 8.702 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 8.702 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.702 * [taylor]: Taking taylor expansion of -1 in n 8.702 * [backup-simplify]: Simplify -1 into -1 8.702 * [taylor]: Taking taylor expansion of n in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 1 into 1 8.702 * [backup-simplify]: Simplify (/ -1 1) into -1 8.702 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 8.702 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 8.702 * [taylor]: Taking taylor expansion of (/ n i) in n 8.702 * [taylor]: Taking taylor expansion of n in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 1 into 1 8.702 * [taylor]: Taking taylor expansion of i in n 8.702 * [backup-simplify]: Simplify i into i 8.702 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 8.702 * [taylor]: Taking taylor expansion of 1 in n 8.702 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (+ 0 1) into 1 8.703 * [backup-simplify]: Simplify (log 1) into 0 8.703 * [backup-simplify]: Simplify (* -1 0) into 0 8.703 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 8.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 8.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 8.705 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 8.705 * [taylor]: Taking taylor expansion of i in n 8.705 * [backup-simplify]: Simplify i into i 8.705 * [taylor]: Taking taylor expansion of n in n 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* (exp (- (/ 1 i))) i) into (* i (exp (- (/ 1 i)))) 8.705 * [backup-simplify]: Simplify (/ (* i (exp (- (/ 1 i)))) 1) into (* i (exp (- (/ 1 i)))) 8.705 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i 8.705 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i 8.705 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.705 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.705 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.705 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.705 * [taylor]: Taking taylor expansion of -1 in i 8.705 * [backup-simplify]: Simplify -1 into -1 8.705 * [taylor]: Taking taylor expansion of n in i 8.705 * [backup-simplify]: Simplify n into n 8.705 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.705 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.705 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.705 * [taylor]: Taking taylor expansion of (/ n i) in i 8.705 * [taylor]: Taking taylor expansion of n in i 8.705 * [backup-simplify]: Simplify n into n 8.705 * [taylor]: Taking taylor expansion of i in i 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (/ n 1) into n 8.705 * [taylor]: Taking taylor expansion of 1 in i 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (+ n 0) into n 8.705 * [backup-simplify]: Simplify (log n) into (log n) 8.705 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.706 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.706 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.706 * [taylor]: Taking taylor expansion of i in i 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [taylor]: Taking taylor expansion of n in i 8.706 * [backup-simplify]: Simplify n into n 8.706 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0 8.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.707 * [backup-simplify]: Simplify (+ 0 1) into 1 8.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.707 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 8.707 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.707 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 8.708 * [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))) 8.708 * [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))) 8.708 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) 8.708 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ n i) 1) (/ -1 n)) i) n) in i 8.708 * [taylor]: Taking taylor expansion of (* (pow (+ (/ n i) 1) (/ -1 n)) i) in i 8.708 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 8.708 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 8.708 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 8.708 * [taylor]: Taking taylor expansion of (/ -1 n) in i 8.708 * [taylor]: Taking taylor expansion of -1 in i 8.708 * [backup-simplify]: Simplify -1 into -1 8.708 * [taylor]: Taking taylor expansion of n in i 8.708 * [backup-simplify]: Simplify n into n 8.708 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.708 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 8.708 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 8.708 * [taylor]: Taking taylor expansion of (/ n i) in i 8.708 * [taylor]: Taking taylor expansion of n in i 8.708 * [backup-simplify]: Simplify n into n 8.708 * [taylor]: Taking taylor expansion of i in i 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (/ n 1) into n 8.708 * [taylor]: Taking taylor expansion of 1 in i 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (+ n 0) into n 8.708 * [backup-simplify]: Simplify (log n) into (log n) 8.709 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.709 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 8.709 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.709 * [taylor]: Taking taylor expansion of i in i 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.709 * [taylor]: Taking taylor expansion of n in i 8.709 * [backup-simplify]: Simplify n into n 8.709 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) into 0 8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ 0 1) into 1 8.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 8.710 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 8.711 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.711 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 8.711 * [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))) 8.711 * [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))) 8.711 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) into (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) 8.711 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) n) in n 8.711 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.711 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.711 * [taylor]: Taking taylor expansion of -1 in n 8.711 * [backup-simplify]: Simplify -1 into -1 8.711 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.711 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.711 * [taylor]: Taking taylor expansion of (log n) in n 8.711 * [taylor]: Taking taylor expansion of n in n 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (log 1) into 0 8.712 * [taylor]: Taking taylor expansion of (log i) in n 8.712 * [taylor]: Taking taylor expansion of i in n 8.712 * [backup-simplify]: Simplify i into i 8.712 * [backup-simplify]: Simplify (log i) into (log i) 8.712 * [taylor]: Taking taylor expansion of n in n 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.712 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.712 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.712 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.712 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.712 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.712 * [taylor]: Taking taylor expansion of n in n 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.713 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.715 * [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)) 8.715 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.715 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.715 * [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))) 8.716 * [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))))) 8.716 * [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))) 8.716 * [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))) 8.716 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 8.716 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 8.716 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.716 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.716 * [taylor]: Taking taylor expansion of -1 in n 8.716 * [backup-simplify]: Simplify -1 into -1 8.716 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.716 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.716 * [taylor]: Taking taylor expansion of (log n) in n 8.716 * [taylor]: Taking taylor expansion of n in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (log 1) into 0 8.717 * [taylor]: Taking taylor expansion of (log i) in n 8.717 * [taylor]: Taking taylor expansion of i in n 8.717 * [backup-simplify]: Simplify i into i 8.717 * [backup-simplify]: Simplify (log i) into (log i) 8.717 * [taylor]: Taking taylor expansion of n in n 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.717 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.717 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.717 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.717 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.717 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.717 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.717 * [taylor]: Taking taylor expansion of n in n 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (* 1 1) into 1 8.718 * [backup-simplify]: Simplify (* 1 1) into 1 8.718 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (- 0) into 0 8.722 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.723 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.726 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [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)) 8.729 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.729 * [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)))) 8.730 * [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))))))) 8.732 * [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)))) 8.733 * [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)))) 8.733 * [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 8.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 8.733 * [taylor]: Taking taylor expansion of 1/2 in n 8.733 * [backup-simplify]: Simplify 1/2 into 1/2 8.733 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 8.733 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.733 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.733 * [taylor]: Taking taylor expansion of -1 in n 8.733 * [backup-simplify]: Simplify -1 into -1 8.733 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.733 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.733 * [taylor]: Taking taylor expansion of (log n) in n 8.733 * [taylor]: Taking taylor expansion of n in n 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (log 1) into 0 8.734 * [taylor]: Taking taylor expansion of (log i) in n 8.734 * [taylor]: Taking taylor expansion of i in n 8.734 * [backup-simplify]: Simplify i into i 8.734 * [backup-simplify]: Simplify (log i) into (log i) 8.734 * [taylor]: Taking taylor expansion of n in n 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.734 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.735 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.735 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.735 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.735 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.735 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.735 * [taylor]: Taking taylor expansion of n in n 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 1 into 1 8.736 * [backup-simplify]: Simplify (* 1 1) into 1 8.736 * [backup-simplify]: Simplify (* 1 1) into 1 8.737 * [backup-simplify]: Simplify (* 1 1) into 1 8.737 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 8.737 * [taylor]: Taking taylor expansion of 1/2 in n 8.737 * [backup-simplify]: Simplify 1/2 into 1/2 8.737 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 8.737 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.737 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.737 * [taylor]: Taking taylor expansion of -1 in n 8.737 * [backup-simplify]: Simplify -1 into -1 8.737 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.737 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.737 * [taylor]: Taking taylor expansion of (log n) in n 8.737 * [taylor]: Taking taylor expansion of n in n 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [backup-simplify]: Simplify (log 1) into 0 8.737 * [taylor]: Taking taylor expansion of (log i) in n 8.738 * [taylor]: Taking taylor expansion of i in n 8.738 * [backup-simplify]: Simplify i into i 8.738 * [backup-simplify]: Simplify (log i) into (log i) 8.738 * [taylor]: Taking taylor expansion of n in n 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.738 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.738 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.738 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.738 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.739 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.739 * [taylor]: Taking taylor expansion of (pow n 4) in n 8.739 * [taylor]: Taking taylor expansion of n in n 8.739 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (* 1 1) into 1 8.740 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.752 * [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 8.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 8.759 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.762 * [backup-simplify]: Simplify (- 0) into 0 8.762 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 0) into 0 8.768 * [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)) 8.768 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.768 * [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))) 8.769 * [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))))))) 8.770 * [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)))))) 8.771 * [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)))))) 8.771 * [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 8.772 * [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 8.772 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 8.772 * [taylor]: Taking taylor expansion of 1/6 in n 8.772 * [backup-simplify]: Simplify 1/6 into 1/6 8.772 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 8.772 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.772 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.772 * [taylor]: Taking taylor expansion of -1 in n 8.772 * [backup-simplify]: Simplify -1 into -1 8.772 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.772 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.772 * [taylor]: Taking taylor expansion of (log n) in n 8.772 * [taylor]: Taking taylor expansion of n in n 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (log 1) into 0 8.772 * [taylor]: Taking taylor expansion of (log i) in n 8.772 * [taylor]: Taking taylor expansion of i in n 8.772 * [backup-simplify]: Simplify i into i 8.772 * [backup-simplify]: Simplify (log i) into (log i) 8.772 * [taylor]: Taking taylor expansion of n in n 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.773 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.773 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.773 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.773 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.773 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.773 * [taylor]: Taking taylor expansion of (pow n 7) in n 8.773 * [taylor]: Taking taylor expansion of n in n 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.778 * [backup-simplify]: Simplify (* 1 1) into 1 8.778 * [backup-simplify]: Simplify (* 1 1) into 1 8.779 * [backup-simplify]: Simplify (* 1 1) into 1 8.779 * [backup-simplify]: Simplify (* 1 1) into 1 8.779 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.779 * [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 8.779 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 8.779 * [taylor]: Taking taylor expansion of 1/3 in n 8.779 * [backup-simplify]: Simplify 1/3 into 1/3 8.779 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 8.779 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.779 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.779 * [taylor]: Taking taylor expansion of -1 in n 8.779 * [backup-simplify]: Simplify -1 into -1 8.779 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.779 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.779 * [taylor]: Taking taylor expansion of (log n) in n 8.779 * [taylor]: Taking taylor expansion of n in n 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.780 * [backup-simplify]: Simplify (log 1) into 0 8.780 * [taylor]: Taking taylor expansion of (log i) in n 8.780 * [taylor]: Taking taylor expansion of i in n 8.780 * [backup-simplify]: Simplify i into i 8.780 * [backup-simplify]: Simplify (log i) into (log i) 8.780 * [taylor]: Taking taylor expansion of n in n 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 1 into 1 8.780 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.780 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.780 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.780 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.780 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.780 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.780 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.780 * [taylor]: Taking taylor expansion of n in n 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 1 into 1 8.781 * [backup-simplify]: Simplify (* 1 1) into 1 8.781 * [backup-simplify]: Simplify (* 1 1) into 1 8.781 * [backup-simplify]: Simplify (* 1 1) into 1 8.781 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 8.781 * [taylor]: Taking taylor expansion of 1/2 in n 8.781 * [backup-simplify]: Simplify 1/2 into 1/2 8.781 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 8.781 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.781 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.781 * [taylor]: Taking taylor expansion of -1 in n 8.781 * [backup-simplify]: Simplify -1 into -1 8.781 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.781 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.781 * [taylor]: Taking taylor expansion of (log n) in n 8.781 * [taylor]: Taking taylor expansion of n in n 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (log 1) into 0 8.782 * [taylor]: Taking taylor expansion of (log i) in n 8.782 * [taylor]: Taking taylor expansion of i in n 8.782 * [backup-simplify]: Simplify i into i 8.782 * [backup-simplify]: Simplify (log i) into (log i) 8.782 * [taylor]: Taking taylor expansion of n in n 8.782 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.782 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.782 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.782 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.782 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.782 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.782 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.782 * [taylor]: Taking taylor expansion of n in n 8.782 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify 1 into 1 8.783 * [backup-simplify]: Simplify (* 1 1) into 1 8.783 * [backup-simplify]: Simplify (* 1 1) into 1 8.783 * [backup-simplify]: Simplify (* 1 1) into 1 8.783 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.803 * [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 8.805 * [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 8.807 * [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 8.809 * [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 8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.822 * [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 8.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 8.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.836 * [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 8.838 * [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 8.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.840 * [backup-simplify]: Simplify (- 0) into 0 8.840 * [backup-simplify]: Simplify 0 into 0 8.840 * [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) 8.840 * * * [progress]: simplifying candidates 8.840 * * * * [progress]: [ 1 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 2 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 3 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 4 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 5 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 6 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 7 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 8 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 9 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 10 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 11 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 12 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 13 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 14 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 15 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 16 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 17 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 18 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 19 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 20 / 324 ] simplifiying candidate # 8.841 * * * * [progress]: [ 21 / 324 ] simplifiying 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8.843 * * * * [progress]: [ 53 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 54 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 55 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 56 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 57 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 58 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 59 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 60 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 61 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 62 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 63 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 64 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 65 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 66 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 67 / 324 ] simplifiying candidate # 8.843 * * * * [progress]: [ 68 / 324 ] 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8.844 * * * * [progress]: [ 83 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 84 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 85 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 86 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 87 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 88 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 89 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 90 / 324 ] simplifiying candidate #real (real->posit16 (pow (+ 1 (/ i n)) n))) (/ i n)) (/ 1 (/ i n)))))> 8.844 * * * * [progress]: [ 91 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 92 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 93 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 94 / 324 ] simplifiying candidate # 8.844 * * * * [progress]: [ 95 / 324 ] simplifiying candidate # 8.845 * * * * [progress]: [ 96 / 324 ] simplifiying candidate # 8.845 * * * * [progress]: [ 97 / 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candidate # 8.845 * * * * [progress]: [ 113 / 324 ] simplifiying candidate # 8.845 * * * * [progress]: [ 114 / 324 ] simplifiying candidate # 8.845 * * * * [progress]: [ 115 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 116 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 117 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 118 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 119 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 120 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 121 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 122 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 123 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 124 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 125 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 126 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 127 / 324 ] simplifiying candidate # 8.846 * * * * [progress]: [ 128 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 129 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 130 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 131 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 132 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 133 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 134 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 135 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 136 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 137 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 138 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 139 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 140 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 141 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 142 / 324 ] simplifiying candidate # 8.847 * * * * [progress]: [ 143 / 324 ] 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(log (/ -1 n)) (log (/ -1 i))))) n) i) 8.880 * * [simplify]: iteration 0: 487 enodes 9.104 * * [simplify]: iteration 1: 1236 enodes 9.555 * * [simplify]: iteration 2: 3710 enodes 10.248 * * [simplify]: iteration complete: 5014 enodes 10.248 * * [simplify]: Extracting #0: cost 277 inf + 0 10.252 * * [simplify]: Extracting #1: cost 1252 inf + 3 10.261 * * [simplify]: Extracting #2: cost 1760 inf + 16766 10.283 * * [simplify]: Extracting #3: cost 1476 inf + 112279 10.341 * * [simplify]: Extracting #4: cost 683 inf + 411246 10.439 * * [simplify]: Extracting #5: cost 107 inf + 668317 10.530 * * [simplify]: Extracting #6: cost 1 inf + 721445 10.612 * * [simplify]: Extracting #7: cost 0 inf + 721540 10.691 * * [simplify]: Extracting #8: cost 0 inf + 721219 10.772 * [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)) 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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) (cbrt n)) i) (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 n)) (cbrt i)) (* (/ (/ 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))) (/ (* (pow (+ 1 (/ i n)) n) (cbrt n)) (sqrt i)) (/ (* 1 (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) (cbrt n)) i) (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)) (/ (sqrt i) (cbrt n))) (* (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) (sqrt n))) (cbrt (pow (+ 1 (/ i n)) 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))) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ (sqrt i) n)) (* (* (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))) (* (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) (sqrt n)) (/ (cbrt (pow (+ 1 (/ i n)) n)) (/ i (sqrt 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)) (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)))) (* (cbrt (pow (+ 1 (/ i n)) 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)))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (cbrt n))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (* (sqrt n) (/ (sqrt (pow (+ 1 (/ i n)) n)) (cbrt i))) (/ (sqrt (pow (+ 1 (/ i n)) n)) (* (cbrt i) (cbrt i))) (/ (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)) (* (/ (sqrt (pow (+ 1 (/ i n)) n)) (sqrt i)) n) (* (sqrt (pow (+ 1 (/ i n)) n)) (* (cbrt n) (cbrt n))) (* (cbrt n) (/ (sqrt (pow (+ 1 (/ i n)) n)) i)) (* (sqrt (pow (+ 1 (/ i n)) n)) (sqrt n)) (/ (* (sqrt (pow (+ 1 (/ i n)) n)) (sqrt n)) i) (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 n)) (cbrt i)) (* (/ (/ 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))) (/ (* (pow (+ 1 (/ i n)) n) (cbrt n)) (sqrt i)) (/ (* 1 (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) (cbrt n)) i) (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)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ (cbrt i) (sqrt n))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (* (cbrt i) (cbrt i))) (* n (/ (pow (+ 1 (/ i n)) (/ n 2)) (cbrt i))) (/ (* (* (cbrt n) (cbrt n)) (pow (+ 1 (/ i n)) (/ n 2))) (sqrt i)) (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i)) (cbrt n)) (* (sqrt n) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i))) (* (sqrt n) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i))) (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i)) (* (/ (pow (+ 1 (/ i n)) (/ n 2)) (sqrt i)) n) (* (* (cbrt n) (cbrt n)) (pow (+ 1 (/ i n)) (/ n 2))) (* (cbrt n) (/ (pow (+ 1 (/ i n)) (/ n 2)) i)) (* (pow (+ 1 (/ i n)) (/ n 2)) (sqrt n)) (/ (pow (+ 1 (/ i n)) (/ n 2)) (/ i (sqrt n))) (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))) (* n (/ 1 i)) (/ (/ 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)) (/ (sqrt n) (cbrt i))) (/ (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)) (* (pow (+ 1 (/ i n)) n) (sqrt 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) (real->posit16 (/ (pow (+ 1 (/ i n)) n) (/ i n))) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)) (/ (+ (exp (* (log (/ i n)) n)) -1) (/ i n)) (/ n (/ i (+ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) -1))) (+ (* 1/2 (* i i)) (+ 1 i)) (exp (* (log (/ i n)) n)) (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ n i) (/ n i) (/ n i) (+ (* (* n i) 1/2) (+ n (/ n i))) (/ (exp (* (log (/ i n)) n)) (/ i n)) (/ (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ i n)) 10.806 * * * [progress]: adding candidates to table 11.805 * * [progress]: iteration 3 / 4 11.805 * * * [progress]: picking best candidate 11.845 * * * * [pick]: Picked # 11.845 * * * [progress]: localizing error 11.865 * * * [progress]: generating rewritten candidates 11.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.903 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 11.959 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 11.973 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 12.189 * * * [progress]: generating series expansions 12.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 12.189 * [backup-simplify]: Simplify (* n (* (* i i) 1/6)) into (* 1/6 (* (pow i 2) n)) 12.189 * [approximate]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in (n i) around 0 12.189 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 12.189 * [taylor]: Taking taylor expansion of 1/6 in i 12.189 * [backup-simplify]: Simplify 1/6 into 1/6 12.189 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.189 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.189 * [taylor]: Taking taylor expansion of i in i 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [taylor]: Taking taylor expansion of n in i 12.189 * [backup-simplify]: Simplify n into n 12.189 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.189 * [taylor]: Taking taylor expansion of 1/6 in n 12.189 * [backup-simplify]: Simplify 1/6 into 1/6 12.189 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.189 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.189 * [taylor]: Taking taylor expansion of i in n 12.189 * [backup-simplify]: Simplify i into i 12.189 * [taylor]: Taking taylor expansion of n in n 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.189 * [taylor]: Taking taylor expansion of 1/6 in n 12.189 * [backup-simplify]: Simplify 1/6 into 1/6 12.189 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.189 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.189 * [taylor]: Taking taylor expansion of i in n 12.189 * [backup-simplify]: Simplify i into i 12.189 * [taylor]: Taking taylor expansion of n in n 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.190 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.190 * [backup-simplify]: Simplify (* 1/6 0) into 0 12.190 * [taylor]: Taking taylor expansion of 0 in i 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.191 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.191 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 12.191 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 12.191 * [taylor]: Taking taylor expansion of 1/6 in i 12.191 * [backup-simplify]: Simplify 1/6 into 1/6 12.191 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.191 * [taylor]: Taking taylor expansion of i in i 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.191 * [backup-simplify]: Simplify (* 1 1) into 1 12.191 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.191 * [backup-simplify]: Simplify 1/6 into 1/6 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.192 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.193 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 12.193 * [taylor]: Taking taylor expansion of 0 in i 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.194 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.194 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.195 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.196 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 12.196 * [taylor]: Taking taylor expansion of 0 in i 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify (* 1/6 (* (pow i 2) n)) into (* 1/6 (* (pow i 2) n)) 12.196 * [backup-simplify]: Simplify (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) into (/ 1/6 (* (pow i 2) n)) 12.196 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in (n i) around 0 12.196 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in i 12.196 * [taylor]: Taking taylor expansion of 1/6 in i 12.196 * [backup-simplify]: Simplify 1/6 into 1/6 12.196 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.196 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.196 * [taylor]: Taking taylor expansion of i in i 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.196 * [taylor]: Taking taylor expansion of n in i 12.196 * [backup-simplify]: Simplify n into n 12.196 * [backup-simplify]: Simplify (* 1 1) into 1 12.196 * [backup-simplify]: Simplify (* 1 n) into n 12.196 * [backup-simplify]: Simplify (/ 1/6 n) into (/ 1/6 n) 12.196 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in n 12.196 * [taylor]: Taking taylor expansion of 1/6 in n 12.196 * [backup-simplify]: Simplify 1/6 into 1/6 12.196 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.196 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.196 * [taylor]: Taking taylor expansion of i in n 12.196 * [backup-simplify]: Simplify i into i 12.196 * [taylor]: Taking taylor expansion of n in n 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.197 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.197 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.197 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.197 * [backup-simplify]: Simplify (/ 1/6 (pow i 2)) into (/ 1/6 (pow i 2)) 12.197 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in n 12.197 * [taylor]: Taking taylor expansion of 1/6 in n 12.197 * [backup-simplify]: Simplify 1/6 into 1/6 12.197 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.197 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.197 * [taylor]: Taking taylor expansion of i in n 12.197 * [backup-simplify]: Simplify i into i 12.197 * [taylor]: Taking taylor expansion of n in n 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.197 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.197 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.198 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.198 * [backup-simplify]: Simplify (/ 1/6 (pow i 2)) into (/ 1/6 (pow i 2)) 12.198 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 12.198 * [taylor]: Taking taylor expansion of 1/6 in i 12.198 * [backup-simplify]: Simplify 1/6 into 1/6 12.198 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.198 * [taylor]: Taking taylor expansion of i in i 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify 1 into 1 12.198 * [backup-simplify]: Simplify (* 1 1) into 1 12.198 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 12.198 * [backup-simplify]: Simplify 1/6 into 1/6 12.199 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.199 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.199 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.199 * [taylor]: Taking taylor expansion of 0 in i 12.199 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.201 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.201 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.201 * [taylor]: Taking taylor expansion of 0 in i 12.201 * [backup-simplify]: Simplify 0 into 0 12.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.203 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0 12.204 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.204 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.204 * [taylor]: Taking taylor expansion of 0 in i 12.204 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))))) into 0 12.207 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.207 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.207 * [taylor]: Taking taylor expansion of 0 in i 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify 0 into 0 12.207 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify (* 1/6 (* (pow (/ 1 i) -2) (/ 1 (/ 1 n)))) into (* 1/6 (* (pow i 2) n)) 12.208 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) into (/ -1/6 (* (pow i 2) n)) 12.208 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in (n i) around 0 12.208 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in i 12.208 * [taylor]: Taking taylor expansion of -1/6 in i 12.208 * [backup-simplify]: Simplify -1/6 into -1/6 12.208 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.208 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.208 * [taylor]: Taking taylor expansion of i in i 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [taylor]: Taking taylor expansion of n in i 12.208 * [backup-simplify]: Simplify n into n 12.208 * [backup-simplify]: Simplify (* 1 1) into 1 12.208 * [backup-simplify]: Simplify (* 1 n) into n 12.208 * [backup-simplify]: Simplify (/ -1/6 n) into (/ -1/6 n) 12.208 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in n 12.208 * [taylor]: Taking taylor expansion of -1/6 in n 12.208 * [backup-simplify]: Simplify -1/6 into -1/6 12.208 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.208 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.208 * [taylor]: Taking taylor expansion of i in n 12.208 * [backup-simplify]: Simplify i into i 12.208 * [taylor]: Taking taylor expansion of n in n 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 1 into 1 12.208 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.208 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.208 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.209 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.209 * [backup-simplify]: Simplify (/ -1/6 (pow i 2)) into (/ -1/6 (pow i 2)) 12.209 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in n 12.209 * [taylor]: Taking taylor expansion of -1/6 in n 12.209 * [backup-simplify]: Simplify -1/6 into -1/6 12.209 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.209 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.209 * [taylor]: Taking taylor expansion of i in n 12.209 * [backup-simplify]: Simplify i into i 12.209 * [taylor]: Taking taylor expansion of n in n 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.209 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.209 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.209 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.209 * [backup-simplify]: Simplify (/ -1/6 (pow i 2)) into (/ -1/6 (pow i 2)) 12.210 * [taylor]: Taking taylor expansion of (/ -1/6 (pow i 2)) in i 12.210 * [taylor]: Taking taylor expansion of -1/6 in i 12.210 * [backup-simplify]: Simplify -1/6 into -1/6 12.210 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.210 * [taylor]: Taking taylor expansion of i in i 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (* 1 1) into 1 12.210 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 12.210 * [backup-simplify]: Simplify -1/6 into -1/6 12.211 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.211 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.211 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.211 * [taylor]: Taking taylor expansion of 0 in i 12.211 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.213 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.213 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.213 * [taylor]: Taking taylor expansion of 0 in i 12.213 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.214 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0 12.216 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.216 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.216 * [taylor]: Taking taylor expansion of 0 in i 12.216 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify 0 into 0 12.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))))) into 0 12.219 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.219 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.219 * [taylor]: Taking taylor expansion of 0 in i 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify (* -1/6 (* (pow (/ 1 (- i)) -2) (/ 1 (/ 1 (- n))))) into (* 1/6 (* (pow i 2) n)) 12.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 12.220 * [backup-simplify]: Simplify (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 12.220 * [approximate]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in (n i) around 0 12.220 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i 12.220 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 12.220 * [taylor]: Taking taylor expansion of 1/6 in i 12.220 * [backup-simplify]: Simplify 1/6 into 1/6 12.220 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.220 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.220 * [taylor]: Taking taylor expansion of i in i 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of n in i 12.220 * [backup-simplify]: Simplify n into n 12.220 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i 12.220 * [taylor]: Taking taylor expansion of n in i 12.220 * [backup-simplify]: Simplify n into n 12.220 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i 12.220 * [taylor]: Taking taylor expansion of 1/2 in i 12.220 * [backup-simplify]: Simplify 1/2 into 1/2 12.220 * [taylor]: Taking taylor expansion of (* i n) in i 12.220 * [taylor]: Taking taylor expansion of i in i 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of n in i 12.220 * [backup-simplify]: Simplify n into n 12.220 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 12.220 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.220 * [taylor]: Taking taylor expansion of 1/6 in n 12.220 * [backup-simplify]: Simplify 1/6 into 1/6 12.220 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.220 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.220 * [taylor]: Taking taylor expansion of i in n 12.220 * [backup-simplify]: Simplify i into i 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 12.220 * [taylor]: Taking taylor expansion of 1/2 in n 12.220 * [backup-simplify]: Simplify 1/2 into 1/2 12.220 * [taylor]: Taking taylor expansion of (* i n) in n 12.220 * [taylor]: Taking taylor expansion of i in n 12.220 * [backup-simplify]: Simplify i into i 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 12.220 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.220 * [taylor]: Taking taylor expansion of 1/6 in n 12.220 * [backup-simplify]: Simplify 1/6 into 1/6 12.220 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.220 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.220 * [taylor]: Taking taylor expansion of i in n 12.220 * [backup-simplify]: Simplify i into i 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 12.220 * [taylor]: Taking taylor expansion of n in n 12.220 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify 1 into 1 12.220 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 12.220 * [taylor]: Taking taylor expansion of 1/2 in n 12.220 * [backup-simplify]: Simplify 1/2 into 1/2 12.220 * [taylor]: Taking taylor expansion of (* i n) in n 12.220 * [taylor]: Taking taylor expansion of i in n 12.221 * [backup-simplify]: Simplify i into i 12.221 * [taylor]: Taking taylor expansion of n in n 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 1 into 1 12.221 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.221 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.221 * [backup-simplify]: Simplify (* 1/6 0) into 0 12.221 * [backup-simplify]: Simplify (* i 0) into 0 12.221 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.222 * [backup-simplify]: Simplify (+ 0 0) into 0 12.222 * [backup-simplify]: Simplify (+ 0 0) into 0 12.222 * [taylor]: Taking taylor expansion of 0 in i 12.222 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify 0 into 0 12.222 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.222 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.222 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 12.223 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.223 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 12.223 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 12.223 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 12.223 * [taylor]: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i 12.223 * [taylor]: Taking taylor expansion of (* 1/2 i) in i 12.223 * [taylor]: Taking taylor expansion of 1/2 in i 12.223 * [backup-simplify]: Simplify 1/2 into 1/2 12.223 * [taylor]: Taking taylor expansion of i in i 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i 12.223 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 12.223 * [taylor]: Taking taylor expansion of 1/6 in i 12.223 * [backup-simplify]: Simplify 1/6 into 1/6 12.223 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.223 * [taylor]: Taking taylor expansion of i in i 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 1 into 1 12.223 * [taylor]: Taking taylor expansion of 1 in i 12.223 * [backup-simplify]: Simplify 1 into 1 12.224 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.224 * [backup-simplify]: Simplify (+ 0 1) into 1 12.224 * [backup-simplify]: Simplify (+ 0 1) into 1 12.224 * [backup-simplify]: Simplify 1 into 1 12.224 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.225 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.226 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 12.226 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 i) (* 0 0))) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [taylor]: Taking taylor expansion of 0 in i 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.228 * [backup-simplify]: Simplify (+ 0 0) into 0 12.228 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.228 * [backup-simplify]: Simplify 1/2 into 1/2 12.228 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.229 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.230 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 12.230 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0 12.231 * [backup-simplify]: Simplify (+ 0 0) into 0 12.231 * [backup-simplify]: Simplify (+ 0 0) into 0 12.231 * [taylor]: Taking taylor expansion of 0 in i 12.231 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 12.232 * [backup-simplify]: Simplify (* 1 1) into 1 12.233 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.233 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 12.233 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 12.233 * [backup-simplify]: Simplify 1/6 into 1/6 12.233 * [backup-simplify]: Simplify (+ (* 1/6 (* (pow i 2) n)) (+ (* 1/2 (* i n)) (* 1 (* 1 n)))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 12.234 * [backup-simplify]: Simplify (+ (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) (+ (* (* (/ 1 n) (/ 1 i)) 1/2) (/ 1 n))) into (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 12.234 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in (n i) around 0 12.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 12.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 12.234 * [taylor]: Taking taylor expansion of 1/2 in i 12.234 * [backup-simplify]: Simplify 1/2 into 1/2 12.234 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 12.234 * [taylor]: Taking taylor expansion of (* i n) in i 12.234 * [taylor]: Taking taylor expansion of i in i 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [taylor]: Taking taylor expansion of n in i 12.234 * [backup-simplify]: Simplify n into n 12.234 * [backup-simplify]: Simplify (* 0 n) into 0 12.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.234 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 12.234 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 12.234 * [taylor]: Taking taylor expansion of 1/6 in i 12.234 * [backup-simplify]: Simplify 1/6 into 1/6 12.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 12.234 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.234 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.234 * [taylor]: Taking taylor expansion of i in i 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [taylor]: Taking taylor expansion of n in i 12.234 * [backup-simplify]: Simplify n into n 12.235 * [backup-simplify]: Simplify (* 1 1) into 1 12.235 * [backup-simplify]: Simplify (* 1 n) into n 12.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.235 * [taylor]: Taking taylor expansion of (/ 1 n) in i 12.235 * [taylor]: Taking taylor expansion of n in i 12.235 * [backup-simplify]: Simplify n into n 12.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.235 * [taylor]: Taking taylor expansion of 1/2 in n 12.235 * [backup-simplify]: Simplify 1/2 into 1/2 12.235 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.235 * [taylor]: Taking taylor expansion of (* i n) in n 12.235 * [taylor]: Taking taylor expansion of i in n 12.235 * [backup-simplify]: Simplify i into i 12.235 * [taylor]: Taking taylor expansion of n in n 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (* i 0) into 0 12.235 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.235 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.235 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.235 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.235 * [taylor]: Taking taylor expansion of 1/6 in n 12.235 * [backup-simplify]: Simplify 1/6 into 1/6 12.235 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.235 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.235 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.235 * [taylor]: Taking taylor expansion of i in n 12.235 * [backup-simplify]: Simplify i into i 12.235 * [taylor]: Taking taylor expansion of n in n 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.236 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.236 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.236 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.236 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.236 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.236 * [taylor]: Taking taylor expansion of n in n 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.236 * [backup-simplify]: Simplify (/ 1 1) into 1 12.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.236 * [taylor]: Taking taylor expansion of 1/2 in n 12.236 * [backup-simplify]: Simplify 1/2 into 1/2 12.236 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.236 * [taylor]: Taking taylor expansion of (* i n) in n 12.236 * [taylor]: Taking taylor expansion of i in n 12.236 * [backup-simplify]: Simplify i into i 12.236 * [taylor]: Taking taylor expansion of n in n 12.236 * [backup-simplify]: Simplify 0 into 0 12.236 * [backup-simplify]: Simplify 1 into 1 12.236 * [backup-simplify]: Simplify (* i 0) into 0 12.237 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.237 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.237 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.237 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.237 * [taylor]: Taking taylor expansion of 1/6 in n 12.237 * [backup-simplify]: Simplify 1/6 into 1/6 12.237 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.237 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.237 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.237 * [taylor]: Taking taylor expansion of i in n 12.237 * [backup-simplify]: Simplify i into i 12.237 * [taylor]: Taking taylor expansion of n in n 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.237 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.237 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.238 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.238 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.238 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.238 * [taylor]: Taking taylor expansion of n in n 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.238 * [backup-simplify]: Simplify (/ 1 1) into 1 12.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 12.238 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 12.238 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 12.238 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 12.238 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i 12.238 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 12.238 * [taylor]: Taking taylor expansion of 1/6 in i 12.238 * [backup-simplify]: Simplify 1/6 into 1/6 12.238 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 12.238 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.238 * [taylor]: Taking taylor expansion of i in i 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify (* 1 1) into 1 12.239 * [backup-simplify]: Simplify (/ 1 1) into 1 12.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i 12.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 12.239 * [taylor]: Taking taylor expansion of 1/2 in i 12.239 * [backup-simplify]: Simplify 1/2 into 1/2 12.239 * [taylor]: Taking taylor expansion of (/ 1 i) in i 12.239 * [taylor]: Taking taylor expansion of i in i 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify (/ 1 1) into 1 12.239 * [taylor]: Taking taylor expansion of 1 in i 12.239 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.240 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 12.240 * [backup-simplify]: Simplify 1/6 into 1/6 12.240 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 12.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 12.241 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.242 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 12.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (+ 0 0) into 0 12.243 * [backup-simplify]: Simplify (+ 0 0) into 0 12.243 * [taylor]: Taking taylor expansion of 0 in i 12.243 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.245 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.245 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.245 * [backup-simplify]: Simplify 1/2 into 1/2 12.246 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 12.247 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.247 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.248 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 12.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.249 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [taylor]: Taking taylor expansion of 0 in i 12.249 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.251 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 12.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.252 * [backup-simplify]: Simplify (+ 0 1) into 1 12.252 * [backup-simplify]: Simplify (+ 0 1) into 1 12.252 * [backup-simplify]: Simplify 1 into 1 12.253 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 n)))) (+ (* 1/2 (* (/ 1 (/ 1 i)) (/ 1 (/ 1 n)))) (* 1/6 (* (pow (/ 1 i) -2) (/ 1 (/ 1 n)))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 12.253 * [backup-simplify]: Simplify (+ (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) (+ (* (* (/ 1 (- n)) (/ 1 (- i))) 1/2) (/ 1 (- n)))) into (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 12.253 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in (n i) around 0 12.253 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 12.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 12.253 * [taylor]: Taking taylor expansion of 1/2 in i 12.253 * [backup-simplify]: Simplify 1/2 into 1/2 12.253 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 12.253 * [taylor]: Taking taylor expansion of (* i n) in i 12.253 * [taylor]: Taking taylor expansion of i in i 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 1 into 1 12.253 * [taylor]: Taking taylor expansion of n in i 12.253 * [backup-simplify]: Simplify n into n 12.253 * [backup-simplify]: Simplify (* 0 n) into 0 12.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.254 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 12.254 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 12.254 * [taylor]: Taking taylor expansion of 1/6 in i 12.254 * [backup-simplify]: Simplify 1/6 into 1/6 12.254 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 12.254 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.254 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.254 * [taylor]: Taking taylor expansion of i in i 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.254 * [taylor]: Taking taylor expansion of n in i 12.254 * [backup-simplify]: Simplify n into n 12.254 * [backup-simplify]: Simplify (* 1 1) into 1 12.254 * [backup-simplify]: Simplify (* 1 n) into n 12.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.254 * [taylor]: Taking taylor expansion of (/ 1 n) in i 12.254 * [taylor]: Taking taylor expansion of n in i 12.254 * [backup-simplify]: Simplify n into n 12.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.254 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.254 * [taylor]: Taking taylor expansion of 1/2 in n 12.254 * [backup-simplify]: Simplify 1/2 into 1/2 12.254 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.254 * [taylor]: Taking taylor expansion of (* i n) in n 12.254 * [taylor]: Taking taylor expansion of i in n 12.254 * [backup-simplify]: Simplify i into i 12.254 * [taylor]: Taking taylor expansion of n in n 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (* i 0) into 0 12.255 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.255 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.255 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.255 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.255 * [taylor]: Taking taylor expansion of 1/6 in n 12.255 * [backup-simplify]: Simplify 1/6 into 1/6 12.255 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.255 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.255 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.255 * [taylor]: Taking taylor expansion of i in n 12.255 * [backup-simplify]: Simplify i into i 12.255 * [taylor]: Taking taylor expansion of n in n 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.255 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.255 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.255 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.255 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.255 * [taylor]: Taking taylor expansion of n in n 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.256 * [backup-simplify]: Simplify (/ 1 1) into 1 12.256 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.256 * [taylor]: Taking taylor expansion of 1/2 in n 12.256 * [backup-simplify]: Simplify 1/2 into 1/2 12.256 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.256 * [taylor]: Taking taylor expansion of (* i n) in n 12.256 * [taylor]: Taking taylor expansion of i in n 12.256 * [backup-simplify]: Simplify i into i 12.256 * [taylor]: Taking taylor expansion of n in n 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.256 * [backup-simplify]: Simplify (* i 0) into 0 12.256 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.256 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.256 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.256 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.256 * [taylor]: Taking taylor expansion of 1/6 in n 12.256 * [backup-simplify]: Simplify 1/6 into 1/6 12.256 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.256 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.256 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.256 * [taylor]: Taking taylor expansion of i in n 12.256 * [backup-simplify]: Simplify i into i 12.256 * [taylor]: Taking taylor expansion of n in n 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.256 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.256 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.256 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.257 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.257 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.257 * [taylor]: Taking taylor expansion of n in n 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (/ 1 1) into 1 12.257 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 12.257 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 12.257 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 12.257 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 12.258 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 12.258 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i 12.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 12.258 * [taylor]: Taking taylor expansion of 1/2 in i 12.258 * [backup-simplify]: Simplify 1/2 into 1/2 12.258 * [taylor]: Taking taylor expansion of (/ 1 i) in i 12.258 * [taylor]: Taking taylor expansion of i in i 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (/ 1 1) into 1 12.258 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) 1) in i 12.258 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 12.258 * [taylor]: Taking taylor expansion of 1/6 in i 12.258 * [backup-simplify]: Simplify 1/6 into 1/6 12.258 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 12.258 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.258 * [taylor]: Taking taylor expansion of i in i 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (* 1 1) into 1 12.259 * [backup-simplify]: Simplify (/ 1 1) into 1 12.259 * [taylor]: Taking taylor expansion of 1 in i 12.259 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.259 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 12.259 * [backup-simplify]: Simplify (- 1/6) into -1/6 12.260 * [backup-simplify]: Simplify (+ 0 -1/6) into -1/6 12.260 * [backup-simplify]: Simplify -1/6 into -1/6 12.260 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 12.261 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.261 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ 0 0) into 0 12.263 * [backup-simplify]: Simplify (- 0) into 0 12.263 * [backup-simplify]: Simplify (+ 0 0) into 0 12.263 * [taylor]: Taking taylor expansion of 0 in i 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.264 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.265 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.265 * [backup-simplify]: Simplify 1/2 into 1/2 12.266 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 12.267 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.267 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.268 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 12.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.272 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [backup-simplify]: Simplify (- 0) into 0 12.272 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [taylor]: Taking taylor expansion of 0 in i 12.272 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 12.275 * [backup-simplify]: Simplify (+ 0 1) into 1 12.275 * [backup-simplify]: Simplify (- 1) into -1 12.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.276 * [backup-simplify]: Simplify -1 into -1 12.276 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- n))))) (+ (* 1/2 (* (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- n))))) (* -1/6 (* (pow (/ 1 (- i)) -2) (/ 1 (/ 1 (- n))))))) into (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 12.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 12.276 * [backup-simplify]: Simplify (* (* i i) 1/6) into (* 1/6 (pow i 2)) 12.276 * [approximate]: Taking taylor expansion of (* 1/6 (pow i 2)) in (i) around 0 12.276 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 12.276 * [taylor]: Taking taylor expansion of 1/6 in i 12.276 * [backup-simplify]: Simplify 1/6 into 1/6 12.276 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.276 * [taylor]: Taking taylor expansion of i in i 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 12.276 * [taylor]: Taking taylor expansion of 1/6 in i 12.276 * [backup-simplify]: Simplify 1/6 into 1/6 12.276 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.276 * [taylor]: Taking taylor expansion of i in i 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (* 1 1) into 1 12.277 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.277 * [backup-simplify]: Simplify 1/6 into 1/6 12.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.278 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.279 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.280 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.280 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.282 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.282 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.283 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.283 * [backup-simplify]: Simplify 0 into 0 12.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.285 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify (* 1/6 (pow i 2)) into (* 1/6 (pow i 2)) 12.285 * [backup-simplify]: Simplify (* (* (/ 1 i) (/ 1 i)) 1/6) into (/ 1/6 (pow i 2)) 12.285 * [approximate]: Taking taylor expansion of (/ 1/6 (pow i 2)) in (i) around 0 12.285 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 12.285 * [taylor]: Taking taylor expansion of 1/6 in i 12.285 * [backup-simplify]: Simplify 1/6 into 1/6 12.285 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.286 * [taylor]: Taking taylor expansion of i in i 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (* 1 1) into 1 12.286 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 12.286 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 12.286 * [taylor]: Taking taylor expansion of 1/6 in i 12.286 * [backup-simplify]: Simplify 1/6 into 1/6 12.286 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.286 * [taylor]: Taking taylor expansion of i in i 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (* 1 1) into 1 12.287 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 12.287 * [backup-simplify]: Simplify 1/6 into 1/6 12.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.289 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.290 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (/ 1 i)) 2)) into (* 1/6 (pow i 2)) 12.295 * [backup-simplify]: Simplify (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6) into (/ 1/6 (pow i 2)) 12.295 * [approximate]: Taking taylor expansion of (/ 1/6 (pow i 2)) in (i) around 0 12.295 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 12.295 * [taylor]: Taking taylor expansion of 1/6 in i 12.295 * [backup-simplify]: Simplify 1/6 into 1/6 12.295 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.295 * [taylor]: Taking taylor expansion of i in i 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (* 1 1) into 1 12.295 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 12.295 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 12.295 * [taylor]: Taking taylor expansion of 1/6 in i 12.295 * [backup-simplify]: Simplify 1/6 into 1/6 12.295 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.295 * [taylor]: Taking taylor expansion of i in i 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (* 1 1) into 1 12.296 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 12.296 * [backup-simplify]: Simplify 1/6 into 1/6 12.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (/ 1 (- i))) 2)) into (* 1/6 (pow i 2)) 12.304 * * * * [progress]: [ 4 / 4 ] generating series at (2) 12.304 * [backup-simplify]: Simplify (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) into (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) 12.304 * [approximate]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in (n i) around 0 12.304 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i 12.304 * [taylor]: Taking taylor expansion of 100 in i 12.304 * [backup-simplify]: Simplify 100 into 100 12.304 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i 12.304 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 12.304 * [taylor]: Taking taylor expansion of 1/6 in i 12.304 * [backup-simplify]: Simplify 1/6 into 1/6 12.304 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.304 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.304 * [taylor]: Taking taylor expansion of i in i 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [taylor]: Taking taylor expansion of n in i 12.305 * [backup-simplify]: Simplify n into n 12.305 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i 12.305 * [taylor]: Taking taylor expansion of n in i 12.305 * [backup-simplify]: Simplify n into n 12.305 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i 12.305 * [taylor]: Taking taylor expansion of 1/2 in i 12.305 * [backup-simplify]: Simplify 1/2 into 1/2 12.305 * [taylor]: Taking taylor expansion of (* i n) in i 12.305 * [taylor]: Taking taylor expansion of i in i 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of n in i 12.305 * [backup-simplify]: Simplify n into n 12.305 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 12.305 * [taylor]: Taking taylor expansion of 100 in n 12.305 * [backup-simplify]: Simplify 100 into 100 12.305 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 12.305 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.305 * [taylor]: Taking taylor expansion of 1/6 in n 12.305 * [backup-simplify]: Simplify 1/6 into 1/6 12.305 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.305 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.305 * [taylor]: Taking taylor expansion of i in n 12.305 * [backup-simplify]: Simplify i into i 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 12.305 * [taylor]: Taking taylor expansion of 1/2 in n 12.305 * [backup-simplify]: Simplify 1/2 into 1/2 12.305 * [taylor]: Taking taylor expansion of (* i n) in n 12.305 * [taylor]: Taking taylor expansion of i in n 12.305 * [backup-simplify]: Simplify i into i 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 12.305 * [taylor]: Taking taylor expansion of 100 in n 12.305 * [backup-simplify]: Simplify 100 into 100 12.305 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 12.305 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 12.305 * [taylor]: Taking taylor expansion of 1/6 in n 12.305 * [backup-simplify]: Simplify 1/6 into 1/6 12.305 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.305 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.305 * [taylor]: Taking taylor expansion of i in n 12.305 * [backup-simplify]: Simplify i into i 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 12.305 * [taylor]: Taking taylor expansion of 1/2 in n 12.305 * [backup-simplify]: Simplify 1/2 into 1/2 12.305 * [taylor]: Taking taylor expansion of (* i n) in n 12.305 * [taylor]: Taking taylor expansion of i in n 12.305 * [backup-simplify]: Simplify i into i 12.305 * [taylor]: Taking taylor expansion of n in n 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.306 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.306 * [backup-simplify]: Simplify (* 1/6 0) into 0 12.306 * [backup-simplify]: Simplify (* i 0) into 0 12.306 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.306 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (* 100 0) into 0 12.307 * [taylor]: Taking taylor expansion of 0 in i 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.307 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.308 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 12.308 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.308 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 12.309 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 12.309 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 12.309 * [backup-simplify]: Simplify (+ (* 100 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 0)) into (+ (* 50 i) (+ (* 50/3 (pow i 2)) 100)) 12.309 * [taylor]: Taking taylor expansion of (+ (* 50 i) (+ (* 50/3 (pow i 2)) 100)) in i 12.309 * [taylor]: Taking taylor expansion of (* 50 i) in i 12.309 * [taylor]: Taking taylor expansion of 50 in i 12.309 * [backup-simplify]: Simplify 50 into 50 12.309 * [taylor]: Taking taylor expansion of i in i 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [taylor]: Taking taylor expansion of (+ (* 50/3 (pow i 2)) 100) in i 12.309 * [taylor]: Taking taylor expansion of (* 50/3 (pow i 2)) in i 12.309 * [taylor]: Taking taylor expansion of 50/3 in i 12.309 * [backup-simplify]: Simplify 50/3 into 50/3 12.309 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.309 * [taylor]: Taking taylor expansion of i in i 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [taylor]: Taking taylor expansion of 100 in i 12.309 * [backup-simplify]: Simplify 100 into 100 12.310 * [backup-simplify]: Simplify (* 50 0) into 0 12.310 * [backup-simplify]: Simplify (+ 0 100) into 100 12.310 * [backup-simplify]: Simplify (+ 0 100) into 100 12.310 * [backup-simplify]: Simplify 100 into 100 12.310 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.311 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.311 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 12.312 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 i) (* 0 0))) into 0 12.313 * [backup-simplify]: Simplify (+ 0 0) into 0 12.313 * [backup-simplify]: Simplify (+ 0 0) into 0 12.313 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 0))) into 0 12.313 * [taylor]: Taking taylor expansion of 0 in i 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify (+ (* 50 1) (* 0 0)) into 50 12.314 * [backup-simplify]: Simplify (+ 0 0) into 0 12.314 * [backup-simplify]: Simplify (+ 50 0) into 50 12.314 * [backup-simplify]: Simplify 50 into 50 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.316 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.316 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0 12.318 * [backup-simplify]: Simplify (+ 0 0) into 0 12.318 * [backup-simplify]: Simplify (+ 0 0) into 0 12.319 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (* 0 0)))) into 0 12.319 * [taylor]: Taking taylor expansion of 0 in i 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0 12.320 * [backup-simplify]: Simplify (* 1 1) into 1 12.320 * [backup-simplify]: Simplify (* 50/3 1) into 50/3 12.320 * [backup-simplify]: Simplify (+ 50/3 0) into 50/3 12.320 * [backup-simplify]: Simplify (+ 0 50/3) into 50/3 12.321 * [backup-simplify]: Simplify 50/3 into 50/3 12.321 * [backup-simplify]: Simplify (+ (* 50/3 (* (pow i 2) n)) (+ (* 50 (* i n)) (* 100 (* 1 n)))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) 12.321 * [backup-simplify]: Simplify (* 100 (+ (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) (+ (* (* (/ 1 n) (/ 1 i)) 1/2) (/ 1 n)))) into (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) 12.321 * [approximate]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in (n i) around 0 12.321 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 12.321 * [taylor]: Taking taylor expansion of 100 in i 12.321 * [backup-simplify]: Simplify 100 into 100 12.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 12.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 12.321 * [taylor]: Taking taylor expansion of 1/2 in i 12.321 * [backup-simplify]: Simplify 1/2 into 1/2 12.321 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 12.321 * [taylor]: Taking taylor expansion of (* i n) in i 12.321 * [taylor]: Taking taylor expansion of i in i 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [taylor]: Taking taylor expansion of n in i 12.321 * [backup-simplify]: Simplify n into n 12.321 * [backup-simplify]: Simplify (* 0 n) into 0 12.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 12.322 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 12.322 * [taylor]: Taking taylor expansion of 1/6 in i 12.322 * [backup-simplify]: Simplify 1/6 into 1/6 12.322 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 12.322 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.322 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.322 * [taylor]: Taking taylor expansion of i in i 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of n in i 12.322 * [backup-simplify]: Simplify n into n 12.322 * [backup-simplify]: Simplify (* 1 1) into 1 12.322 * [backup-simplify]: Simplify (* 1 n) into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [taylor]: Taking taylor expansion of (/ 1 n) in i 12.322 * [taylor]: Taking taylor expansion of n in i 12.322 * [backup-simplify]: Simplify n into n 12.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.322 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 12.322 * [taylor]: Taking taylor expansion of 100 in n 12.322 * [backup-simplify]: Simplify 100 into 100 12.322 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.322 * [taylor]: Taking taylor expansion of 1/2 in n 12.322 * [backup-simplify]: Simplify 1/2 into 1/2 12.322 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.322 * [taylor]: Taking taylor expansion of (* i n) in n 12.322 * [taylor]: Taking taylor expansion of i in n 12.322 * [backup-simplify]: Simplify i into i 12.322 * [taylor]: Taking taylor expansion of n in n 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (* i 0) into 0 12.323 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.323 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.323 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.323 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.323 * [taylor]: Taking taylor expansion of 1/6 in n 12.323 * [backup-simplify]: Simplify 1/6 into 1/6 12.323 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.323 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.323 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.323 * [taylor]: Taking taylor expansion of i in n 12.323 * [backup-simplify]: Simplify i into i 12.323 * [taylor]: Taking taylor expansion of n in n 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.323 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.323 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.323 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.323 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.323 * [taylor]: Taking taylor expansion of n in n 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (/ 1 1) into 1 12.324 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 12.324 * [taylor]: Taking taylor expansion of 100 in n 12.324 * [backup-simplify]: Simplify 100 into 100 12.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.324 * [taylor]: Taking taylor expansion of 1/2 in n 12.324 * [backup-simplify]: Simplify 1/2 into 1/2 12.324 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.324 * [taylor]: Taking taylor expansion of (* i n) in n 12.324 * [taylor]: Taking taylor expansion of i in n 12.324 * [backup-simplify]: Simplify i into i 12.324 * [taylor]: Taking taylor expansion of n in n 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (* i 0) into 0 12.324 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.324 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.324 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.324 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.324 * [taylor]: Taking taylor expansion of 1/6 in n 12.324 * [backup-simplify]: Simplify 1/6 into 1/6 12.324 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.324 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.324 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.324 * [taylor]: Taking taylor expansion of i in n 12.324 * [backup-simplify]: Simplify i into i 12.324 * [taylor]: Taking taylor expansion of n in n 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.324 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.325 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.325 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.325 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.325 * [taylor]: Taking taylor expansion of n in n 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify 1 into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.325 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 12.325 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 12.325 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 12.326 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 12.326 * [backup-simplify]: Simplify (* 100 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (* 100 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 12.326 * [taylor]: Taking taylor expansion of (* 100 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i 12.326 * [taylor]: Taking taylor expansion of 100 in i 12.326 * [backup-simplify]: Simplify 100 into 100 12.326 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i 12.326 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 12.326 * [taylor]: Taking taylor expansion of 1/6 in i 12.326 * [backup-simplify]: Simplify 1/6 into 1/6 12.326 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 12.326 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.326 * [taylor]: Taking taylor expansion of i in i 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (* 1 1) into 1 12.326 * [backup-simplify]: Simplify (/ 1 1) into 1 12.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i 12.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 12.326 * [taylor]: Taking taylor expansion of 1/2 in i 12.326 * [backup-simplify]: Simplify 1/2 into 1/2 12.326 * [taylor]: Taking taylor expansion of (/ 1 i) in i 12.326 * [taylor]: Taking taylor expansion of i in i 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.327 * [backup-simplify]: Simplify (/ 1 1) into 1 12.327 * [taylor]: Taking taylor expansion of 1 in i 12.327 * [backup-simplify]: Simplify 1 into 1 12.327 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.327 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 12.328 * [backup-simplify]: Simplify (* 100 1/6) into 50/3 12.328 * [backup-simplify]: Simplify 50/3 into 50/3 12.328 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 12.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 12.329 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.329 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 12.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.331 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into 0 12.331 * [taylor]: Taking taylor expansion of 0 in i 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.333 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.333 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.334 * [backup-simplify]: Simplify (+ (* 100 1/2) (* 0 1/6)) into 50 12.334 * [backup-simplify]: Simplify 50 into 50 12.334 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 12.335 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.336 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.336 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 12.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ 0 0) into 0 12.337 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))))) into 0 12.338 * [taylor]: Taking taylor expansion of 0 in i 12.338 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.341 * [backup-simplify]: Simplify (+ 0 1) into 1 12.341 * [backup-simplify]: Simplify (+ 0 1) into 1 12.342 * [backup-simplify]: Simplify (+ (* 100 1) (+ (* 0 1/2) (* 0 1/6))) into 100 12.342 * [backup-simplify]: Simplify 100 into 100 12.342 * [backup-simplify]: Simplify (+ (* 100 (* 1 (/ 1 (/ 1 n)))) (+ (* 50 (* (/ 1 (/ 1 i)) (/ 1 (/ 1 n)))) (* 50/3 (* (pow (/ 1 i) -2) (/ 1 (/ 1 n)))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) 12.343 * [backup-simplify]: Simplify (* 100 (+ (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) (+ (* (* (/ 1 (- n)) (/ 1 (- i))) 1/2) (/ 1 (- n))))) into (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) 12.343 * [approximate]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in (n i) around 0 12.343 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 12.343 * [taylor]: Taking taylor expansion of 100 in i 12.343 * [backup-simplify]: Simplify 100 into 100 12.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 12.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 12.343 * [taylor]: Taking taylor expansion of 1/2 in i 12.343 * [backup-simplify]: Simplify 1/2 into 1/2 12.343 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 12.343 * [taylor]: Taking taylor expansion of (* i n) in i 12.343 * [taylor]: Taking taylor expansion of i in i 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.343 * [taylor]: Taking taylor expansion of n in i 12.343 * [backup-simplify]: Simplify n into n 12.343 * [backup-simplify]: Simplify (* 0 n) into 0 12.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.343 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.343 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 12.343 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 12.343 * [taylor]: Taking taylor expansion of 1/6 in i 12.343 * [backup-simplify]: Simplify 1/6 into 1/6 12.343 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 12.343 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 12.343 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.343 * [taylor]: Taking taylor expansion of i in i 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.343 * [taylor]: Taking taylor expansion of n in i 12.343 * [backup-simplify]: Simplify n into n 12.344 * [backup-simplify]: Simplify (* 1 1) into 1 12.344 * [backup-simplify]: Simplify (* 1 n) into n 12.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.344 * [taylor]: Taking taylor expansion of (/ 1 n) in i 12.344 * [taylor]: Taking taylor expansion of n in i 12.344 * [backup-simplify]: Simplify n into n 12.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.344 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 12.344 * [taylor]: Taking taylor expansion of 100 in n 12.344 * [backup-simplify]: Simplify 100 into 100 12.344 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.344 * [taylor]: Taking taylor expansion of 1/2 in n 12.344 * [backup-simplify]: Simplify 1/2 into 1/2 12.344 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.344 * [taylor]: Taking taylor expansion of (* i n) in n 12.344 * [taylor]: Taking taylor expansion of i in n 12.344 * [backup-simplify]: Simplify i into i 12.344 * [taylor]: Taking taylor expansion of n in n 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (* i 0) into 0 12.344 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.344 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.344 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.344 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.344 * [taylor]: Taking taylor expansion of 1/6 in n 12.344 * [backup-simplify]: Simplify 1/6 into 1/6 12.344 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.344 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.344 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.344 * [taylor]: Taking taylor expansion of i in n 12.344 * [backup-simplify]: Simplify i into i 12.344 * [taylor]: Taking taylor expansion of n in n 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.345 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.345 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.345 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.345 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.345 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.345 * [taylor]: Taking taylor expansion of n in n 12.345 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify 1 into 1 12.345 * [backup-simplify]: Simplify (/ 1 1) into 1 12.345 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 12.345 * [taylor]: Taking taylor expansion of 100 in n 12.345 * [backup-simplify]: Simplify 100 into 100 12.345 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 12.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 12.345 * [taylor]: Taking taylor expansion of 1/2 in n 12.345 * [backup-simplify]: Simplify 1/2 into 1/2 12.345 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 12.345 * [taylor]: Taking taylor expansion of (* i n) in n 12.345 * [taylor]: Taking taylor expansion of i in n 12.345 * [backup-simplify]: Simplify i into i 12.345 * [taylor]: Taking taylor expansion of n in n 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify (* i 0) into 0 12.346 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 12.346 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 12.346 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 12.346 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 12.346 * [taylor]: Taking taylor expansion of 1/6 in n 12.346 * [backup-simplify]: Simplify 1/6 into 1/6 12.346 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 12.346 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 12.346 * [taylor]: Taking taylor expansion of (pow i 2) in n 12.346 * [taylor]: Taking taylor expansion of i in n 12.346 * [backup-simplify]: Simplify i into i 12.346 * [taylor]: Taking taylor expansion of n in n 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify (* i i) into (pow i 2) 12.346 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 12.346 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 12.346 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 12.347 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 12.347 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.347 * [taylor]: Taking taylor expansion of n in n 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [backup-simplify]: Simplify (/ 1 1) into 1 12.347 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 12.347 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 12.347 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 12.347 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 12.347 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 12.347 * [backup-simplify]: Simplify (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 12.347 * [taylor]: Taking taylor expansion of (* 100 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i 12.347 * [taylor]: Taking taylor expansion of 100 in i 12.348 * [backup-simplify]: Simplify 100 into 100 12.348 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i 12.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 12.348 * [taylor]: Taking taylor expansion of 1/2 in i 12.348 * [backup-simplify]: Simplify 1/2 into 1/2 12.348 * [taylor]: Taking taylor expansion of (/ 1 i) in i 12.348 * [taylor]: Taking taylor expansion of i in i 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (/ 1 1) into 1 12.348 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) 1) in i 12.348 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 12.348 * [taylor]: Taking taylor expansion of 1/6 in i 12.348 * [backup-simplify]: Simplify 1/6 into 1/6 12.348 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 12.348 * [taylor]: Taking taylor expansion of (pow i 2) in i 12.348 * [taylor]: Taking taylor expansion of i in i 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (* 1 1) into 1 12.348 * [backup-simplify]: Simplify (/ 1 1) into 1 12.349 * [taylor]: Taking taylor expansion of 1 in i 12.349 * [backup-simplify]: Simplify 1 into 1 12.349 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 12.349 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 12.349 * [backup-simplify]: Simplify (- 1/6) into -1/6 12.350 * [backup-simplify]: Simplify (+ 0 -1/6) into -1/6 12.350 * [backup-simplify]: Simplify (* 100 -1/6) into -50/3 12.350 * [backup-simplify]: Simplify -50/3 into -50/3 12.350 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 12.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 12.351 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 12.351 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 12.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 12.352 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 12.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.353 * [backup-simplify]: Simplify (- 0) into 0 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.353 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into 0 12.353 * [taylor]: Taking taylor expansion of 0 in i 12.353 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 12.355 * [backup-simplify]: Simplify (+ 0 0) into 0 12.355 * [backup-simplify]: Simplify (- 0) into 0 12.356 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.356 * [backup-simplify]: Simplify (+ (* 100 1/2) (* 0 -1/6)) into 50 12.356 * [backup-simplify]: Simplify 50 into 50 12.360 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 12.362 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 12.363 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 12.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.363 * [backup-simplify]: Simplify (+ 0 0) into 0 12.364 * [backup-simplify]: Simplify (- 0) into 0 12.364 * [backup-simplify]: Simplify (+ 0 0) into 0 12.364 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))))) into 0 12.364 * [taylor]: Taking taylor expansion of 0 in i 12.364 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 12.367 * [backup-simplify]: Simplify (+ 0 1) into 1 12.368 * [backup-simplify]: Simplify (- 1) into -1 12.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.369 * [backup-simplify]: Simplify (+ (* 100 -1) (+ (* 0 1/2) (* 0 -1/6))) into -100 12.369 * [backup-simplify]: Simplify -100 into -100 12.369 * [backup-simplify]: Simplify (+ (* -100 (* 1 (/ 1 (/ 1 (- n))))) (+ (* 50 (* (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- n))))) (* -50/3 (* (pow (/ 1 (- i)) -2) (/ 1 (/ 1 (- n))))))) into (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) 12.369 * * * [progress]: simplifying candidates 12.369 * * * * [progress]: [ 1 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 2 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 3 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 4 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 5 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 6 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 7 / 91 ] simplifiying candidate # 12.369 * * * * [progress]: [ 8 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 9 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 10 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 11 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 12 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 13 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 14 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 15 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 16 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 17 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 18 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 19 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 20 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 21 / 91 ] simplifiying candidate #real (real->posit16 (* n (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> 12.370 * * * * [progress]: [ 22 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 23 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 24 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 25 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 26 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 27 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 28 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 29 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 30 / 91 ] simplifiying candidate # 12.370 * * * * [progress]: [ 31 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 32 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 33 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 34 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 35 / 91 ] simplifiying candidate #real (real->posit16 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))))> 12.371 * * * * [progress]: [ 36 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 37 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 38 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 39 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 40 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 41 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 42 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 43 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 44 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 45 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 46 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 47 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 48 / 91 ] simplifiying candidate # 12.371 * * * * [progress]: [ 49 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 50 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 51 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 52 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 53 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 54 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 55 / 91 ] simplifiying candidate #real (real->posit16 (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> 12.372 * * * * [progress]: [ 56 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 57 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 58 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 59 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 60 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 61 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 62 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 63 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 64 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 65 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 66 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 67 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 68 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 69 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 70 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 71 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 72 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 73 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 74 / 91 ] simplifiying candidate # 12.372 * * * * [progress]: [ 75 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 76 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 77 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 78 / 91 ] simplifiying candidate #real (real->posit16 (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))))> 12.373 * * * * [progress]: [ 79 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 80 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 81 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 82 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 83 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 84 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 85 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 86 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 87 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 88 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 89 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 90 / 91 ] simplifiying candidate # 12.373 * * * * [progress]: [ 91 / 91 ] simplifiying candidate # 12.374 * [simplify]: Simplifying: (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (+ (log n) (+ (+ (log i) (log i)) (log 1/6))) (+ (log n) (+ (log (* i i)) (log 1/6))) (+ (log n) (log (* (* i i) 1/6))) (log (* n (* (* i i) 1/6))) (exp (* n (* (* i i) 1/6))) (* (* (* n n) n) (* (* (* (* i i) i) (* (* i i) i)) (* (* 1/6 1/6) 1/6))) (* (* (* n n) n) (* (* (* (* i i) (* i i)) (* i i)) (* (* 1/6 1/6) 1/6))) (* (* (* n n) n) (* (* (* (* i i) 1/6) (* (* i i) 1/6)) (* (* i i) 1/6))) (* (cbrt (* n (* (* i i) 1/6))) (cbrt (* n (* (* i i) 1/6)))) (cbrt (* n (* (* i i) 1/6))) (* (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* n (* (* i i) 1/6))) (sqrt (* n (* (* i i) 1/6))) (sqrt (* n (* (* i i) 1/6))) (* n (* i i)) (* (cbrt n) (* (* i i) 1/6)) (* (sqrt n) (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (real->posit16 (* n (* (* i i) 1/6))) (* (exp (* n (* (* i i) 1/6))) (* (exp (* (* n i) 1/2)) (exp n))) (* (exp (* n (* (* i i) 1/6))) (exp (+ (* (* n i) 1/2) n))) (log (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (exp (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (* (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (+ (pow (* n (* (* i i) 1/6)) 3) (pow (+ (* (* n i) 1/2) n) 3)) (+ (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (- (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)) (* (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (- (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n))) (- (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)) (+ (* n (* (* i i) 1/6)) (* (* n i) 1/2)) (real->posit16 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (* i i) 1/6) (* (* i i) 1/6) (+ (+ (log i) (log i)) (log 1/6)) (+ (log (* i i)) (log 1/6)) (log (* (* i i) 1/6)) (exp (* (* i i) 1/6)) (* (* (* (* i i) i) (* (* i i) i)) (* (* 1/6 1/6) 1/6)) (* (* (* (* i i) (* i i)) (* i i)) (* (* 1/6 1/6) 1/6)) (* (cbrt (* (* i i) 1/6)) (cbrt (* (* i i) 1/6))) (cbrt (* (* i i) 1/6)) (* (* (* (* i i) 1/6) (* (* i i) 1/6)) (* (* i i) 1/6)) (sqrt (* (* i i) 1/6)) (sqrt (* (* i i) 1/6)) (* i (sqrt 1/6)) (* i (sqrt 1/6)) (* (* i i) (* (cbrt 1/6) (cbrt 1/6))) (* (* i i) (sqrt 1/6)) (* (* i i) 1) (* i 1/6) (real->posit16 (* (* i i) 1/6)) (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (+ (log 100) (log (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (log (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (exp (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (* (* 100 100) 100) (* (* (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (cbrt (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (* (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (sqrt 100) (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (sqrt 100) (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* 100 (* n (* (* i i) 1/6))) (* 100 (+ (* (* n i) 1/2) n)) (* (* n (* (* i i) 1/6)) 100) (* (+ (* (* n i) 1/2) n) 100) (* 100 (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (* 100 (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* 100 1) (* (cbrt 100) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (sqrt 100) (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* 100 (+ (pow (* n (* (* i i) 1/6)) 3) (pow (+ (* (* n i) 1/2) n) 3))) (* 100 (- (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)))) (real->posit16 (* 100 (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* 1/6 (* (pow i 2) n)) (* 1/6 (* (pow i 2) n)) (* 1/6 (* (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)) (* 1/6 (pow i 2)) (* 1/6 (pow i 2)) (+ (* 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)))) 12.375 * * [simplify]: iteration 0: 134 enodes 12.408 * * [simplify]: iteration 1: 392 enodes 12.544 * * [simplify]: iteration 2: 1930 enodes 12.950 * * [simplify]: iteration complete: 5007 enodes 12.951 * * [simplify]: Extracting #0: cost 56 inf + 0 12.952 * * [simplify]: Extracting #1: cost 636 inf + 1 12.956 * * [simplify]: Extracting #2: cost 1553 inf + 5161 12.968 * * [simplify]: Extracting #3: cost 1839 inf + 50910 13.022 * * [simplify]: Extracting #4: cost 931 inf + 316285 13.134 * * [simplify]: Extracting #5: cost 98 inf + 593752 13.266 * * [simplify]: Extracting #6: cost 3 inf + 618326 13.402 * * [simplify]: Extracting #7: cost 0 inf + 618197 13.536 * [simplify]: Simplified to: (* n (* 1/6 (* i i))) (* n (* 1/6 (* i i))) (* n (* 1/6 (* i i))) (log (* n (* 1/6 (* i i)))) (log (* n (* 1/6 (* i i)))) (log (* n (* 1/6 (* i i)))) (log (* n (* 1/6 (* i i)))) (exp (* n (* 1/6 (* i i)))) (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (* (cbrt (* n (* 1/6 (* i i)))) (cbrt (* n (* 1/6 (* i i))))) (cbrt (* n (* 1/6 (* i i)))) (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (sqrt (* n (* 1/6 (* i i)))) (sqrt (* n (* 1/6 (* i i)))) (* (* n i) i) (* (* (* i i) (cbrt n)) 1/6) (* (sqrt n) (* 1/6 (* i i))) (* n (* 1/6 (* i i))) (real->posit16 (* n (* 1/6 (* i i)))) (exp (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (exp (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (log (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (exp (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (* (cbrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (cbrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))))) (cbrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (* (* (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (sqrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (sqrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (+ (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (* (+ n (* (* n i) 1/2)) (* (+ n (* (* n i) 1/2)) (+ n (* (* n i) 1/2))))) (- (+ (* (+ n (* (* n i) 1/2)) (+ n (* (* n i) 1/2))) (* 1/36 (* (* (* n i) i) (* (* n i) i)))) (* (* (+ n (* (* n i) 1/2)) (* (* n i) i)) 1/6)) (- (* 1/36 (* (* (* n i) i) (* (* n i) i))) (* (+ n (* (* n i) 1/2)) (+ n (* (* n i) 1/2)))) (- (* n (- (* 1/6 (* i i)) (* i 1/2))) n) (* n (+ (* i 1/2) (* 1/6 (* i i)))) (real->posit16 (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (* 1/6 (* i i)) (* 1/6 (* i i)) (log (* 1/6 (* i i))) (log (* 1/6 (* i i))) (log (* 1/6 (* i i))) (exp (* 1/6 (* i i))) (* (* 1/216 (* i i)) (* (* i i) (* i i))) (* (* 1/216 (* i i)) (* (* i i) (* i i))) (* (cbrt (* 1/6 (* i i))) (cbrt (* 1/6 (* i i)))) (cbrt (* 1/6 (* i i))) (* (* 1/216 (* i i)) (* (* i i) (* i i))) (sqrt (* 1/6 (* i i))) (sqrt (* 1/6 (* i i))) (* (sqrt 1/6) i) (* (sqrt 1/6) i) (* (* (cbrt 1/6) i) (* (cbrt 1/6) i)) (* (* i i) (sqrt 1/6)) (* i i) (* 1/6 i) (real->posit16 (* 1/6 (* i i))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) (log (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (log (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (exp (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (* (* (* (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) 1000000) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (* (cbrt (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (cbrt (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))))) (cbrt (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (* (* (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (sqrt (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (sqrt (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (* 10 (sqrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))))) (* 10 (sqrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))))) (* n (* (* i i) 50/3)) (* n (+ 100 (* 50 i))) (* n (* (* i i) 50/3)) (* n (+ 100 (* 50 i))) (* (* (cbrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (cbrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))))) 100) (* (sqrt (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) 100) 100 (* (cbrt 100) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i)))))) (+ (* 10 (+ n (* (* n i) 1/2))) (* 5/3 (* (* n i) i))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) (* 100 (+ (* (* (* (* (* n i) i) (* (* n i) i)) (* (* n i) i)) 1/216) (* (+ n (* (* n i) 1/2)) (* (+ n (* (* n i) 1/2)) (+ n (* (* n i) 1/2)))))) (* (- (* 1/36 (* (* (* n i) i) (* (* n i) i))) (* (+ n (* (* n i) 1/2)) (+ n (* (* n i) 1/2)))) 100) (real->posit16 (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100)))) (* n (* 1/6 (* i i))) (* n (* 1/6 (* i i))) (* n (* 1/6 (* i i))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))) (+ n (* n (+ (* i 1/2) (* 1/6 (* i i))))) (* 1/6 (* i i)) (* 1/6 (* i i)) (* 1/6 (* i i)) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) (+ (* i (* n 50)) (* n (+ (* (* i i) 50/3) 100))) 13.542 * * * [progress]: adding candidates to table 13.779 * * [progress]: iteration 4 / 4 13.779 * * * [progress]: picking best candidate 13.839 * * * * [pick]: Picked # 13.839 * * * [progress]: localizing error 13.877 * * * [progress]: generating rewritten candidates 13.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 13.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 13.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 14.040 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 14.077 * * * [progress]: generating series expansions 14.077 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 14.077 * [backup-simplify]: Simplify (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) into (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) 14.077 * [approximate]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in (n i) around 0 14.077 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in i 14.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in i 14.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in i 14.077 * [taylor]: Taking taylor expansion of 1/3 in i 14.077 * [backup-simplify]: Simplify 1/3 into 1/3 14.077 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i 14.077 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i 14.077 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 14.077 * [taylor]: Taking taylor expansion of 1/6 in i 14.078 * [backup-simplify]: Simplify 1/6 into 1/6 14.078 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.078 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.078 * [taylor]: Taking taylor expansion of i in i 14.078 * [backup-simplify]: Simplify 0 into 0 14.078 * [backup-simplify]: Simplify 1 into 1 14.078 * [taylor]: Taking taylor expansion of n in i 14.078 * [backup-simplify]: Simplify n into n 14.078 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i 14.078 * [taylor]: Taking taylor expansion of n in i 14.078 * [backup-simplify]: Simplify n into n 14.078 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i 14.078 * [taylor]: Taking taylor expansion of 1/2 in i 14.078 * [backup-simplify]: Simplify 1/2 into 1/2 14.078 * [taylor]: Taking taylor expansion of (* i n) in i 14.078 * [taylor]: Taking taylor expansion of i in i 14.078 * [backup-simplify]: Simplify 0 into 0 14.078 * [backup-simplify]: Simplify 1 into 1 14.078 * [taylor]: Taking taylor expansion of n in i 14.078 * [backup-simplify]: Simplify n into n 14.078 * [backup-simplify]: Simplify (* 0 n) into 0 14.079 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.079 * [backup-simplify]: Simplify (+ n 0) into n 14.079 * [backup-simplify]: Simplify (+ 0 n) into n 14.079 * [backup-simplify]: Simplify (log n) into (log n) 14.079 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.079 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.079 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.079 * [taylor]: Taking taylor expansion of 1/3 in n 14.079 * [backup-simplify]: Simplify 1/3 into 1/3 14.079 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.079 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.079 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.079 * [taylor]: Taking taylor expansion of 1/6 in n 14.079 * [backup-simplify]: Simplify 1/6 into 1/6 14.079 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.079 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.079 * [taylor]: Taking taylor expansion of i in n 14.079 * [backup-simplify]: Simplify i into i 14.079 * [taylor]: Taking taylor expansion of n in n 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 1 into 1 14.079 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.079 * [taylor]: Taking taylor expansion of n in n 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 1 into 1 14.079 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.079 * [taylor]: Taking taylor expansion of 1/2 in n 14.079 * [backup-simplify]: Simplify 1/2 into 1/2 14.079 * [taylor]: Taking taylor expansion of (* i n) in n 14.079 * [taylor]: Taking taylor expansion of i in n 14.079 * [backup-simplify]: Simplify i into i 14.079 * [taylor]: Taking taylor expansion of n in n 14.079 * [backup-simplify]: Simplify 0 into 0 14.079 * [backup-simplify]: Simplify 1 into 1 14.079 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.079 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.080 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.080 * [backup-simplify]: Simplify (* i 0) into 0 14.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.080 * [backup-simplify]: Simplify (+ 0 0) into 0 14.081 * [backup-simplify]: Simplify (+ 0 0) into 0 14.081 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.081 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.081 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.082 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.082 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.082 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.082 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.082 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.083 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.083 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.083 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.083 * [taylor]: Taking taylor expansion of 1/3 in n 14.083 * [backup-simplify]: Simplify 1/3 into 1/3 14.083 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.083 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.083 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.083 * [taylor]: Taking taylor expansion of 1/6 in n 14.083 * [backup-simplify]: Simplify 1/6 into 1/6 14.083 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.083 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.083 * [taylor]: Taking taylor expansion of i in n 14.083 * [backup-simplify]: Simplify i into i 14.083 * [taylor]: Taking taylor expansion of n in n 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 1 into 1 14.083 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.083 * [taylor]: Taking taylor expansion of n in n 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 1 into 1 14.083 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.083 * [taylor]: Taking taylor expansion of 1/2 in n 14.083 * [backup-simplify]: Simplify 1/2 into 1/2 14.083 * [taylor]: Taking taylor expansion of (* i n) in n 14.083 * [taylor]: Taking taylor expansion of i in n 14.083 * [backup-simplify]: Simplify i into i 14.083 * [taylor]: Taking taylor expansion of n in n 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 1 into 1 14.083 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.083 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.084 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.084 * [backup-simplify]: Simplify (* i 0) into 0 14.084 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.084 * [backup-simplify]: Simplify (+ 0 0) into 0 14.084 * [backup-simplify]: Simplify (+ 0 0) into 0 14.084 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.085 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.085 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.085 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.086 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.086 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.086 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.086 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.086 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.087 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i 14.087 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) in i 14.087 * [taylor]: Taking taylor expansion of 1/3 in i 14.087 * [backup-simplify]: Simplify 1/3 into 1/3 14.087 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i 14.087 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i 14.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i 14.087 * [taylor]: Taking taylor expansion of (* 1/2 i) in i 14.087 * [taylor]: Taking taylor expansion of 1/2 in i 14.087 * [backup-simplify]: Simplify 1/2 into 1/2 14.087 * [taylor]: Taking taylor expansion of i in i 14.087 * [backup-simplify]: Simplify 0 into 0 14.087 * [backup-simplify]: Simplify 1 into 1 14.087 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i 14.087 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 14.087 * [taylor]: Taking taylor expansion of 1/6 in i 14.087 * [backup-simplify]: Simplify 1/6 into 1/6 14.087 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.087 * [taylor]: Taking taylor expansion of i in i 14.087 * [backup-simplify]: Simplify 0 into 0 14.087 * [backup-simplify]: Simplify 1 into 1 14.087 * [taylor]: Taking taylor expansion of 1 in i 14.087 * [backup-simplify]: Simplify 1 into 1 14.087 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.088 * [backup-simplify]: Simplify (+ 0 1) into 1 14.088 * [backup-simplify]: Simplify (+ 0 1) into 1 14.088 * [backup-simplify]: Simplify (log 1) into 0 14.088 * [taylor]: Taking taylor expansion of (log n) in i 14.088 * [taylor]: Taking taylor expansion of n in i 14.088 * [backup-simplify]: Simplify n into n 14.088 * [backup-simplify]: Simplify (log n) into (log n) 14.088 * [backup-simplify]: Simplify (+ 0 (log n)) into (log n) 14.088 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.088 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.088 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 14.089 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.089 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.090 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 14.090 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 i) (* 0 0))) into 0 14.091 * [backup-simplify]: Simplify (+ 0 0) into 0 14.091 * [backup-simplify]: Simplify (+ 0 0) into 0 14.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 14.092 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 14.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.093 * [taylor]: Taking taylor expansion of 0 in i 14.093 * [backup-simplify]: Simplify 0 into 0 14.093 * [backup-simplify]: Simplify 0 into 0 14.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.094 * [backup-simplify]: Simplify (+ 0 0) into 0 14.094 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.095 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.096 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 14.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) 14.096 * [backup-simplify]: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) 14.097 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.097 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.098 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 14.099 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0 14.100 * [backup-simplify]: Simplify (+ 0 0) into 0 14.100 * [backup-simplify]: Simplify (+ 0 0) into 0 14.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 14.101 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 14.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.103 * [taylor]: Taking taylor expansion of 0 in i 14.103 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify 0 into 0 14.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.104 * [backup-simplify]: Simplify (* 1 1) into 1 14.104 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.104 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.105 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 14.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 14.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.107 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 14.108 * [backup-simplify]: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 14.109 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) 14.109 * [backup-simplify]: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) 14.109 * [backup-simplify]: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) 14.109 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) (+ (* (* (/ 1 n) (/ 1 i)) 1/2) (/ 1 n)))) into (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.110 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.110 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.110 * [taylor]: Taking taylor expansion of 1/3 in i 14.110 * [backup-simplify]: Simplify 1/3 into 1/3 14.110 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.110 * [taylor]: Taking taylor expansion of 1/2 in i 14.110 * [backup-simplify]: Simplify 1/2 into 1/2 14.110 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.110 * [taylor]: Taking taylor expansion of (* i n) in i 14.110 * [taylor]: Taking taylor expansion of i in i 14.110 * [backup-simplify]: Simplify 0 into 0 14.110 * [backup-simplify]: Simplify 1 into 1 14.110 * [taylor]: Taking taylor expansion of n in i 14.110 * [backup-simplify]: Simplify n into n 14.110 * [backup-simplify]: Simplify (* 0 n) into 0 14.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.110 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.110 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.110 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.110 * [taylor]: Taking taylor expansion of 1/6 in i 14.110 * [backup-simplify]: Simplify 1/6 into 1/6 14.110 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.110 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.110 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.110 * [taylor]: Taking taylor expansion of i in i 14.110 * [backup-simplify]: Simplify 0 into 0 14.110 * [backup-simplify]: Simplify 1 into 1 14.110 * [taylor]: Taking taylor expansion of n in i 14.110 * [backup-simplify]: Simplify n into n 14.111 * [backup-simplify]: Simplify (* 1 1) into 1 14.111 * [backup-simplify]: Simplify (* 1 n) into n 14.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.111 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.111 * [taylor]: Taking taylor expansion of n in i 14.111 * [backup-simplify]: Simplify n into n 14.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.111 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.111 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.111 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ 1 n))) into (* 1/6 (/ 1 n)) 14.111 * [backup-simplify]: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) 14.111 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) 14.111 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) 14.111 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) 14.111 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.112 * [taylor]: Taking taylor expansion of 1/3 in n 14.112 * [backup-simplify]: Simplify 1/3 into 1/3 14.112 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.112 * [taylor]: Taking taylor expansion of 1/2 in n 14.112 * [backup-simplify]: Simplify 1/2 into 1/2 14.112 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.112 * [taylor]: Taking taylor expansion of (* i n) in n 14.112 * [taylor]: Taking taylor expansion of i in n 14.112 * [backup-simplify]: Simplify i into i 14.112 * [taylor]: Taking taylor expansion of n in n 14.112 * [backup-simplify]: Simplify 0 into 0 14.112 * [backup-simplify]: Simplify 1 into 1 14.112 * [backup-simplify]: Simplify (* i 0) into 0 14.112 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.112 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.112 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.112 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.112 * [taylor]: Taking taylor expansion of 1/6 in n 14.112 * [backup-simplify]: Simplify 1/6 into 1/6 14.112 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.112 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.112 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.112 * [taylor]: Taking taylor expansion of i in n 14.112 * [backup-simplify]: Simplify i into i 14.112 * [taylor]: Taking taylor expansion of n in n 14.112 * [backup-simplify]: Simplify 0 into 0 14.112 * [backup-simplify]: Simplify 1 into 1 14.112 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.112 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.112 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.113 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.113 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.113 * [taylor]: Taking taylor expansion of n in n 14.113 * [backup-simplify]: Simplify 0 into 0 14.113 * [backup-simplify]: Simplify 1 into 1 14.113 * [backup-simplify]: Simplify (/ 1 1) into 1 14.113 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.113 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.113 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.113 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.113 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.114 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.114 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.114 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.114 * [taylor]: Taking taylor expansion of 1/3 in n 14.114 * [backup-simplify]: Simplify 1/3 into 1/3 14.114 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.114 * [taylor]: Taking taylor expansion of 1/2 in n 14.114 * [backup-simplify]: Simplify 1/2 into 1/2 14.114 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.114 * [taylor]: Taking taylor expansion of (* i n) in n 14.114 * [taylor]: Taking taylor expansion of i in n 14.114 * [backup-simplify]: Simplify i into i 14.114 * [taylor]: Taking taylor expansion of n in n 14.114 * [backup-simplify]: Simplify 0 into 0 14.114 * [backup-simplify]: Simplify 1 into 1 14.114 * [backup-simplify]: Simplify (* i 0) into 0 14.115 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.115 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.115 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.115 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.115 * [taylor]: Taking taylor expansion of 1/6 in n 14.115 * [backup-simplify]: Simplify 1/6 into 1/6 14.115 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.115 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.115 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.115 * [taylor]: Taking taylor expansion of i in n 14.115 * [backup-simplify]: Simplify i into i 14.115 * [taylor]: Taking taylor expansion of n in n 14.115 * [backup-simplify]: Simplify 0 into 0 14.115 * [backup-simplify]: Simplify 1 into 1 14.115 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.115 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.115 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.115 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.115 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.115 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.115 * [taylor]: Taking taylor expansion of n in n 14.116 * [backup-simplify]: Simplify 0 into 0 14.116 * [backup-simplify]: Simplify 1 into 1 14.116 * [backup-simplify]: Simplify (/ 1 1) into 1 14.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.116 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.116 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.116 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.116 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.117 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.117 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i 14.117 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) in i 14.117 * [taylor]: Taking taylor expansion of 1/3 in i 14.117 * [backup-simplify]: Simplify 1/3 into 1/3 14.117 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i 14.117 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i 14.117 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i 14.117 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.117 * [taylor]: Taking taylor expansion of 1/6 in i 14.117 * [backup-simplify]: Simplify 1/6 into 1/6 14.117 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.117 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.117 * [taylor]: Taking taylor expansion of i in i 14.117 * [backup-simplify]: Simplify 0 into 0 14.117 * [backup-simplify]: Simplify 1 into 1 14.117 * [backup-simplify]: Simplify (* 1 1) into 1 14.118 * [backup-simplify]: Simplify (/ 1 1) into 1 14.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i 14.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.118 * [taylor]: Taking taylor expansion of 1/2 in i 14.118 * [backup-simplify]: Simplify 1/2 into 1/2 14.118 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.118 * [taylor]: Taking taylor expansion of i in i 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (/ 1 1) into 1 14.118 * [taylor]: Taking taylor expansion of 1 in i 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.119 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.119 * [backup-simplify]: Simplify (log 1/6) into (log 1/6) 14.119 * [taylor]: Taking taylor expansion of (log n) in i 14.119 * [taylor]: Taking taylor expansion of n in i 14.119 * [backup-simplify]: Simplify n into n 14.119 * [backup-simplify]: Simplify (log n) into (log n) 14.119 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) 14.120 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.120 * [backup-simplify]: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) 14.120 * [backup-simplify]: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) 14.120 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.121 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.121 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.122 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.122 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.123 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.124 * [backup-simplify]: Simplify (+ 0 0) into 0 14.124 * [backup-simplify]: Simplify (+ 0 0) into 0 14.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 1) into 0 14.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 14.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.126 * [taylor]: Taking taylor expansion of 0 in i 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.127 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.128 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.128 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 14.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.130 * [backup-simplify]: Simplify (- 0) into 0 14.130 * [backup-simplify]: Simplify (+ 3 0) into 3 14.131 * [backup-simplify]: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 14.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.132 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.135 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.136 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.137 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.138 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.139 * [backup-simplify]: Simplify (+ 0 0) into 0 14.139 * [backup-simplify]: Simplify (+ 0 0) into 0 14.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 2) into 0 14.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 14.142 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.142 * [taylor]: Taking taylor expansion of 0 in i 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.144 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.145 * [backup-simplify]: Simplify (+ 0 1) into 1 14.146 * [backup-simplify]: Simplify (+ 0 1) into 1 14.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 14.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.149 * [backup-simplify]: Simplify (- 0) into 0 14.149 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.150 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 14.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.151 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.152 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) 14.153 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) (+ (* (* (/ 1 (- n)) (/ 1 (- i))) 1/2) (/ 1 (- n))))) into (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.153 * [approximate]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.153 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.153 * [taylor]: Taking taylor expansion of 1/3 in i 14.153 * [backup-simplify]: Simplify 1/3 into 1/3 14.153 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.153 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.153 * [taylor]: Taking taylor expansion of 1/2 in i 14.153 * [backup-simplify]: Simplify 1/2 into 1/2 14.153 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.153 * [taylor]: Taking taylor expansion of (* i n) in i 14.153 * [taylor]: Taking taylor expansion of i in i 14.153 * [backup-simplify]: Simplify 0 into 0 14.153 * [backup-simplify]: Simplify 1 into 1 14.153 * [taylor]: Taking taylor expansion of n in i 14.153 * [backup-simplify]: Simplify n into n 14.153 * [backup-simplify]: Simplify (* 0 n) into 0 14.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.153 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.153 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.153 * [taylor]: Taking taylor expansion of 1/6 in i 14.153 * [backup-simplify]: Simplify 1/6 into 1/6 14.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.154 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.154 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.154 * [taylor]: Taking taylor expansion of i in i 14.154 * [backup-simplify]: Simplify 0 into 0 14.154 * [backup-simplify]: Simplify 1 into 1 14.154 * [taylor]: Taking taylor expansion of n in i 14.154 * [backup-simplify]: Simplify n into n 14.154 * [backup-simplify]: Simplify (* 1 1) into 1 14.154 * [backup-simplify]: Simplify (* 1 n) into n 14.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.154 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.154 * [taylor]: Taking taylor expansion of n in i 14.154 * [backup-simplify]: Simplify n into n 14.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.154 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.154 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.154 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 n))) into (- (* 1/6 (/ 1 n))) 14.154 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 n)))) into (- (* 1/6 (/ 1 n))) 14.154 * [backup-simplify]: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) 14.155 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) 14.155 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) 14.155 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) 14.155 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.155 * [taylor]: Taking taylor expansion of 1/3 in n 14.155 * [backup-simplify]: Simplify 1/3 into 1/3 14.155 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.155 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.155 * [taylor]: Taking taylor expansion of 1/2 in n 14.155 * [backup-simplify]: Simplify 1/2 into 1/2 14.155 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.155 * [taylor]: Taking taylor expansion of (* i n) in n 14.155 * [taylor]: Taking taylor expansion of i in n 14.155 * [backup-simplify]: Simplify i into i 14.155 * [taylor]: Taking taylor expansion of n in n 14.155 * [backup-simplify]: Simplify 0 into 0 14.155 * [backup-simplify]: Simplify 1 into 1 14.155 * [backup-simplify]: Simplify (* i 0) into 0 14.155 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.156 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.156 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.156 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.156 * [taylor]: Taking taylor expansion of 1/6 in n 14.156 * [backup-simplify]: Simplify 1/6 into 1/6 14.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.156 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.156 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.156 * [taylor]: Taking taylor expansion of i in n 14.156 * [backup-simplify]: Simplify i into i 14.156 * [taylor]: Taking taylor expansion of n in n 14.156 * [backup-simplify]: Simplify 0 into 0 14.156 * [backup-simplify]: Simplify 1 into 1 14.156 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.156 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.156 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.156 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.156 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.156 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.156 * [taylor]: Taking taylor expansion of n in n 14.156 * [backup-simplify]: Simplify 0 into 0 14.156 * [backup-simplify]: Simplify 1 into 1 14.157 * [backup-simplify]: Simplify (/ 1 1) into 1 14.157 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.157 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.157 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.157 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.157 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.157 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.158 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.158 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.158 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.158 * [taylor]: Taking taylor expansion of 1/3 in n 14.158 * [backup-simplify]: Simplify 1/3 into 1/3 14.158 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.158 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.158 * [taylor]: Taking taylor expansion of 1/2 in n 14.158 * [backup-simplify]: Simplify 1/2 into 1/2 14.158 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.158 * [taylor]: Taking taylor expansion of (* i n) in n 14.158 * [taylor]: Taking taylor expansion of i in n 14.158 * [backup-simplify]: Simplify i into i 14.158 * [taylor]: Taking taylor expansion of n in n 14.158 * [backup-simplify]: Simplify 0 into 0 14.158 * [backup-simplify]: Simplify 1 into 1 14.158 * [backup-simplify]: Simplify (* i 0) into 0 14.159 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.159 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.159 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.159 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.159 * [taylor]: Taking taylor expansion of 1/6 in n 14.159 * [backup-simplify]: Simplify 1/6 into 1/6 14.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.159 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.159 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.159 * [taylor]: Taking taylor expansion of i in n 14.159 * [backup-simplify]: Simplify i into i 14.159 * [taylor]: Taking taylor expansion of n in n 14.159 * [backup-simplify]: Simplify 0 into 0 14.159 * [backup-simplify]: Simplify 1 into 1 14.159 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.159 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.159 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.159 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.159 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.159 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.159 * [taylor]: Taking taylor expansion of n in n 14.159 * [backup-simplify]: Simplify 0 into 0 14.159 * [backup-simplify]: Simplify 1 into 1 14.160 * [backup-simplify]: Simplify (/ 1 1) into 1 14.160 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.160 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.160 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.160 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.160 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.160 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.161 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.161 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i 14.161 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) in i 14.161 * [taylor]: Taking taylor expansion of 1/3 in i 14.161 * [backup-simplify]: Simplify 1/3 into 1/3 14.161 * [taylor]: Taking taylor expansion of (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i 14.161 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i 14.161 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i 14.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.161 * [taylor]: Taking taylor expansion of 1/2 in i 14.161 * [backup-simplify]: Simplify 1/2 into 1/2 14.161 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.161 * [taylor]: Taking taylor expansion of i in i 14.161 * [backup-simplify]: Simplify 0 into 0 14.161 * [backup-simplify]: Simplify 1 into 1 14.162 * [backup-simplify]: Simplify (/ 1 1) into 1 14.162 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) 1) in i 14.162 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.162 * [taylor]: Taking taylor expansion of 1/6 in i 14.162 * [backup-simplify]: Simplify 1/6 into 1/6 14.162 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.162 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.162 * [taylor]: Taking taylor expansion of i in i 14.162 * [backup-simplify]: Simplify 0 into 0 14.162 * [backup-simplify]: Simplify 1 into 1 14.162 * [backup-simplify]: Simplify (* 1 1) into 1 14.162 * [backup-simplify]: Simplify (/ 1 1) into 1 14.162 * [taylor]: Taking taylor expansion of 1 in i 14.162 * [backup-simplify]: Simplify 1 into 1 14.163 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.163 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.164 * [backup-simplify]: Simplify (- 1/6) into -1/6 14.164 * [backup-simplify]: Simplify (+ 0 -1/6) into -1/6 14.164 * [backup-simplify]: Simplify (log -1/6) into (log -1/6) 14.164 * [taylor]: Taking taylor expansion of (log n) in i 14.164 * [taylor]: Taking taylor expansion of n in i 14.164 * [backup-simplify]: Simplify n into n 14.164 * [backup-simplify]: Simplify (log n) into (log n) 14.165 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) 14.165 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.165 * [backup-simplify]: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) 14.166 * [backup-simplify]: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) 14.166 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.166 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.167 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.167 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.168 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.168 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.169 * [backup-simplify]: Simplify (+ 0 0) into 0 14.169 * [backup-simplify]: Simplify (- 0) into 0 14.170 * [backup-simplify]: Simplify (+ 0 0) into 0 14.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 14.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 14.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.172 * [taylor]: Taking taylor expansion of 0 in i 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.173 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.173 * [backup-simplify]: Simplify (+ 0 0) into 0 14.174 * [backup-simplify]: Simplify (- 0) into 0 14.174 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 14.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.176 * [backup-simplify]: Simplify (- 0) into 0 14.176 * [backup-simplify]: Simplify (+ -3 0) into -3 14.176 * [backup-simplify]: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) 14.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.178 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.178 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.179 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.180 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.181 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.181 * [backup-simplify]: Simplify (+ 0 0) into 0 14.182 * [backup-simplify]: Simplify (- 0) into 0 14.182 * [backup-simplify]: Simplify (+ 0 0) into 0 14.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 14.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 14.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.185 * [taylor]: Taking taylor expansion of 0 in i 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.188 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.188 * [backup-simplify]: Simplify (+ 0 1) into 1 14.188 * [backup-simplify]: Simplify (- 1) into -1 14.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 14.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.191 * [backup-simplify]: Simplify (- 0) into 0 14.192 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.193 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 14.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.194 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.195 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) 14.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 14.196 * [backup-simplify]: Simplify (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) into (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) 14.196 * [approximate]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in (n i) around 0 14.196 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in i 14.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in i 14.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in i 14.196 * [taylor]: Taking taylor expansion of 1/3 in i 14.196 * [backup-simplify]: Simplify 1/3 into 1/3 14.196 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i 14.196 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i 14.196 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 14.196 * [taylor]: Taking taylor expansion of 1/6 in i 14.196 * [backup-simplify]: Simplify 1/6 into 1/6 14.196 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.196 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.196 * [taylor]: Taking taylor expansion of i in i 14.196 * [backup-simplify]: Simplify 0 into 0 14.196 * [backup-simplify]: Simplify 1 into 1 14.196 * [taylor]: Taking taylor expansion of n in i 14.196 * [backup-simplify]: Simplify n into n 14.196 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i 14.196 * [taylor]: Taking taylor expansion of n in i 14.196 * [backup-simplify]: Simplify n into n 14.196 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i 14.196 * [taylor]: Taking taylor expansion of 1/2 in i 14.196 * [backup-simplify]: Simplify 1/2 into 1/2 14.196 * [taylor]: Taking taylor expansion of (* i n) in i 14.196 * [taylor]: Taking taylor expansion of i in i 14.196 * [backup-simplify]: Simplify 0 into 0 14.196 * [backup-simplify]: Simplify 1 into 1 14.196 * [taylor]: Taking taylor expansion of n in i 14.196 * [backup-simplify]: Simplify n into n 14.196 * [backup-simplify]: Simplify (* 0 n) into 0 14.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.197 * [backup-simplify]: Simplify (+ n 0) into n 14.197 * [backup-simplify]: Simplify (+ 0 n) into n 14.197 * [backup-simplify]: Simplify (log n) into (log n) 14.197 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.197 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.197 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.197 * [taylor]: Taking taylor expansion of 1/3 in n 14.197 * [backup-simplify]: Simplify 1/3 into 1/3 14.197 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.197 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.197 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.197 * [taylor]: Taking taylor expansion of 1/6 in n 14.197 * [backup-simplify]: Simplify 1/6 into 1/6 14.197 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.197 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.197 * [taylor]: Taking taylor expansion of i in n 14.197 * [backup-simplify]: Simplify i into i 14.197 * [taylor]: Taking taylor expansion of n in n 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.197 * [taylor]: Taking taylor expansion of n in n 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.197 * [taylor]: Taking taylor expansion of 1/2 in n 14.197 * [backup-simplify]: Simplify 1/2 into 1/2 14.197 * [taylor]: Taking taylor expansion of (* i n) in n 14.197 * [taylor]: Taking taylor expansion of i in n 14.197 * [backup-simplify]: Simplify i into i 14.197 * [taylor]: Taking taylor expansion of n in n 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.197 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.198 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.198 * [backup-simplify]: Simplify (* i 0) into 0 14.198 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.198 * [backup-simplify]: Simplify (+ 0 0) into 0 14.198 * [backup-simplify]: Simplify (+ 0 0) into 0 14.198 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.199 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.199 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.199 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.200 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.200 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.200 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.200 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.200 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.201 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.201 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.201 * [taylor]: Taking taylor expansion of 1/3 in n 14.201 * [backup-simplify]: Simplify 1/3 into 1/3 14.201 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.201 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.201 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.201 * [taylor]: Taking taylor expansion of 1/6 in n 14.201 * [backup-simplify]: Simplify 1/6 into 1/6 14.201 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.201 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.201 * [taylor]: Taking taylor expansion of i in n 14.201 * [backup-simplify]: Simplify i into i 14.201 * [taylor]: Taking taylor expansion of n in n 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 1 into 1 14.201 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.201 * [taylor]: Taking taylor expansion of n in n 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 1 into 1 14.201 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.201 * [taylor]: Taking taylor expansion of 1/2 in n 14.201 * [backup-simplify]: Simplify 1/2 into 1/2 14.201 * [taylor]: Taking taylor expansion of (* i n) in n 14.201 * [taylor]: Taking taylor expansion of i in n 14.201 * [backup-simplify]: Simplify i into i 14.201 * [taylor]: Taking taylor expansion of n in n 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 1 into 1 14.201 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.201 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.201 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.201 * [backup-simplify]: Simplify (* i 0) into 0 14.202 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.202 * [backup-simplify]: Simplify (+ 0 0) into 0 14.202 * [backup-simplify]: Simplify (+ 0 0) into 0 14.202 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.203 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.203 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.203 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.204 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.204 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.204 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.204 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.204 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.204 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.205 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i 14.205 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) in i 14.205 * [taylor]: Taking taylor expansion of 1/3 in i 14.205 * [backup-simplify]: Simplify 1/3 into 1/3 14.205 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i 14.205 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i 14.205 * [taylor]: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i 14.205 * [taylor]: Taking taylor expansion of (* 1/2 i) in i 14.205 * [taylor]: Taking taylor expansion of 1/2 in i 14.205 * [backup-simplify]: Simplify 1/2 into 1/2 14.205 * [taylor]: Taking taylor expansion of i in i 14.205 * [backup-simplify]: Simplify 0 into 0 14.205 * [backup-simplify]: Simplify 1 into 1 14.205 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i 14.205 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 14.205 * [taylor]: Taking taylor expansion of 1/6 in i 14.205 * [backup-simplify]: Simplify 1/6 into 1/6 14.205 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.205 * [taylor]: Taking taylor expansion of i in i 14.205 * [backup-simplify]: Simplify 0 into 0 14.205 * [backup-simplify]: Simplify 1 into 1 14.205 * [taylor]: Taking taylor expansion of 1 in i 14.205 * [backup-simplify]: Simplify 1 into 1 14.205 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.206 * [backup-simplify]: Simplify (+ 0 1) into 1 14.206 * [backup-simplify]: Simplify (+ 0 1) into 1 14.206 * [backup-simplify]: Simplify (log 1) into 0 14.206 * [taylor]: Taking taylor expansion of (log n) in i 14.206 * [taylor]: Taking taylor expansion of n in i 14.206 * [backup-simplify]: Simplify n into n 14.206 * [backup-simplify]: Simplify (log n) into (log n) 14.206 * [backup-simplify]: Simplify (+ 0 (log n)) into (log n) 14.206 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.206 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.206 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 14.207 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.207 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.208 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 14.208 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 i) (* 0 0))) into 0 14.209 * [backup-simplify]: Simplify (+ 0 0) into 0 14.209 * [backup-simplify]: Simplify (+ 0 0) into 0 14.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 14.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 14.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.211 * [taylor]: Taking taylor expansion of 0 in i 14.211 * [backup-simplify]: Simplify 0 into 0 14.211 * [backup-simplify]: Simplify 0 into 0 14.212 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.212 * [backup-simplify]: Simplify (+ 0 0) into 0 14.212 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.214 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.214 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 14.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) 14.214 * [backup-simplify]: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) 14.215 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.216 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.216 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 14.217 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0 14.218 * [backup-simplify]: Simplify (+ 0 0) into 0 14.218 * [backup-simplify]: Simplify (+ 0 0) into 0 14.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 14.220 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 14.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.221 * [taylor]: Taking taylor expansion of 0 in i 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.226 * [backup-simplify]: Simplify (* 1 1) into 1 14.226 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.227 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.227 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 14.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 14.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.230 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 14.231 * [backup-simplify]: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 14.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) 14.232 * [backup-simplify]: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) 14.232 * [backup-simplify]: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) 14.232 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) (+ (* (* (/ 1 n) (/ 1 i)) 1/2) (/ 1 n)))) into (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.232 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.232 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.232 * [taylor]: Taking taylor expansion of 1/3 in i 14.232 * [backup-simplify]: Simplify 1/3 into 1/3 14.232 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.232 * [taylor]: Taking taylor expansion of 1/2 in i 14.232 * [backup-simplify]: Simplify 1/2 into 1/2 14.232 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.232 * [taylor]: Taking taylor expansion of (* i n) in i 14.232 * [taylor]: Taking taylor expansion of i in i 14.232 * [backup-simplify]: Simplify 0 into 0 14.232 * [backup-simplify]: Simplify 1 into 1 14.232 * [taylor]: Taking taylor expansion of n in i 14.232 * [backup-simplify]: Simplify n into n 14.232 * [backup-simplify]: Simplify (* 0 n) into 0 14.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.233 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.233 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.233 * [taylor]: Taking taylor expansion of 1/6 in i 14.233 * [backup-simplify]: Simplify 1/6 into 1/6 14.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.233 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.233 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.233 * [taylor]: Taking taylor expansion of i in i 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 1 into 1 14.233 * [taylor]: Taking taylor expansion of n in i 14.233 * [backup-simplify]: Simplify n into n 14.233 * [backup-simplify]: Simplify (* 1 1) into 1 14.233 * [backup-simplify]: Simplify (* 1 n) into n 14.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.233 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.233 * [taylor]: Taking taylor expansion of n in i 14.233 * [backup-simplify]: Simplify n into n 14.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.233 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.233 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.233 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ 1 n))) into (* 1/6 (/ 1 n)) 14.233 * [backup-simplify]: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) 14.234 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) 14.234 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) 14.234 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) 14.234 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.234 * [taylor]: Taking taylor expansion of 1/3 in n 14.234 * [backup-simplify]: Simplify 1/3 into 1/3 14.234 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.234 * [taylor]: Taking taylor expansion of 1/2 in n 14.234 * [backup-simplify]: Simplify 1/2 into 1/2 14.234 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.234 * [taylor]: Taking taylor expansion of (* i n) in n 14.234 * [taylor]: Taking taylor expansion of i in n 14.234 * [backup-simplify]: Simplify i into i 14.234 * [taylor]: Taking taylor expansion of n in n 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.234 * [backup-simplify]: Simplify (* i 0) into 0 14.235 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.235 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.235 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.235 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.235 * [taylor]: Taking taylor expansion of 1/6 in n 14.235 * [backup-simplify]: Simplify 1/6 into 1/6 14.235 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.235 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.235 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.235 * [taylor]: Taking taylor expansion of i in n 14.235 * [backup-simplify]: Simplify i into i 14.235 * [taylor]: Taking taylor expansion of n in n 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 1 into 1 14.235 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.235 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.235 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.235 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.235 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.235 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.235 * [taylor]: Taking taylor expansion of n in n 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 1 into 1 14.236 * [backup-simplify]: Simplify (/ 1 1) into 1 14.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.236 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.236 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.236 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.236 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.236 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.237 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.237 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.237 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.237 * [taylor]: Taking taylor expansion of 1/3 in n 14.237 * [backup-simplify]: Simplify 1/3 into 1/3 14.237 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.237 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.237 * [taylor]: Taking taylor expansion of 1/2 in n 14.237 * [backup-simplify]: Simplify 1/2 into 1/2 14.237 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.237 * [taylor]: Taking taylor expansion of (* i n) in n 14.237 * [taylor]: Taking taylor expansion of i in n 14.237 * [backup-simplify]: Simplify i into i 14.237 * [taylor]: Taking taylor expansion of n in n 14.237 * [backup-simplify]: Simplify 0 into 0 14.237 * [backup-simplify]: Simplify 1 into 1 14.237 * [backup-simplify]: Simplify (* i 0) into 0 14.237 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.237 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.237 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.237 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.237 * [taylor]: Taking taylor expansion of 1/6 in n 14.237 * [backup-simplify]: Simplify 1/6 into 1/6 14.237 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.237 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.237 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.238 * [taylor]: Taking taylor expansion of i in n 14.238 * [backup-simplify]: Simplify i into i 14.238 * [taylor]: Taking taylor expansion of n in n 14.238 * [backup-simplify]: Simplify 0 into 0 14.238 * [backup-simplify]: Simplify 1 into 1 14.238 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.238 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.238 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.238 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.238 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.238 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.238 * [taylor]: Taking taylor expansion of n in n 14.238 * [backup-simplify]: Simplify 0 into 0 14.238 * [backup-simplify]: Simplify 1 into 1 14.238 * [backup-simplify]: Simplify (/ 1 1) into 1 14.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.238 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.239 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.239 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.239 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.239 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.240 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i 14.240 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) in i 14.240 * [taylor]: Taking taylor expansion of 1/3 in i 14.240 * [backup-simplify]: Simplify 1/3 into 1/3 14.240 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i 14.240 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i 14.240 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i 14.240 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.240 * [taylor]: Taking taylor expansion of 1/6 in i 14.240 * [backup-simplify]: Simplify 1/6 into 1/6 14.240 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.240 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.240 * [taylor]: Taking taylor expansion of i in i 14.240 * [backup-simplify]: Simplify 0 into 0 14.240 * [backup-simplify]: Simplify 1 into 1 14.240 * [backup-simplify]: Simplify (* 1 1) into 1 14.240 * [backup-simplify]: Simplify (/ 1 1) into 1 14.240 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i 14.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.240 * [taylor]: Taking taylor expansion of 1/2 in i 14.240 * [backup-simplify]: Simplify 1/2 into 1/2 14.240 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.240 * [taylor]: Taking taylor expansion of i in i 14.240 * [backup-simplify]: Simplify 0 into 0 14.240 * [backup-simplify]: Simplify 1 into 1 14.241 * [backup-simplify]: Simplify (/ 1 1) into 1 14.241 * [taylor]: Taking taylor expansion of 1 in i 14.241 * [backup-simplify]: Simplify 1 into 1 14.241 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.241 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.242 * [backup-simplify]: Simplify (log 1/6) into (log 1/6) 14.242 * [taylor]: Taking taylor expansion of (log n) in i 14.242 * [taylor]: Taking taylor expansion of n in i 14.242 * [backup-simplify]: Simplify n into n 14.242 * [backup-simplify]: Simplify (log n) into (log n) 14.242 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) 14.242 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.242 * [backup-simplify]: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) 14.243 * [backup-simplify]: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) 14.243 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.243 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.244 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.245 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.245 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.245 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 1) into 0 14.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 14.248 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.249 * [taylor]: Taking taylor expansion of 0 in i 14.249 * [backup-simplify]: Simplify 0 into 0 14.249 * [backup-simplify]: Simplify 0 into 0 14.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.250 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.250 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.251 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 14.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.252 * [backup-simplify]: Simplify (- 0) into 0 14.252 * [backup-simplify]: Simplify (+ 3 0) into 3 14.253 * [backup-simplify]: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 14.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.254 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.255 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.256 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.256 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.257 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.258 * [backup-simplify]: Simplify (+ 0 0) into 0 14.258 * [backup-simplify]: Simplify (+ 0 0) into 0 14.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 2) into 0 14.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 14.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.261 * [taylor]: Taking taylor expansion of 0 in i 14.261 * [backup-simplify]: Simplify 0 into 0 14.261 * [backup-simplify]: Simplify 0 into 0 14.261 * [backup-simplify]: Simplify 0 into 0 14.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.263 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.264 * [backup-simplify]: Simplify (+ 0 1) into 1 14.264 * [backup-simplify]: Simplify (+ 0 1) into 1 14.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 14.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.267 * [backup-simplify]: Simplify (- 0) into 0 14.267 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.268 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 14.269 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.270 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.271 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) 14.271 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) (+ (* (* (/ 1 (- n)) (/ 1 (- i))) 1/2) (/ 1 (- n))))) into (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.271 * [approximate]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.271 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.271 * [taylor]: Taking taylor expansion of 1/3 in i 14.271 * [backup-simplify]: Simplify 1/3 into 1/3 14.271 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.271 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.272 * [taylor]: Taking taylor expansion of 1/2 in i 14.272 * [backup-simplify]: Simplify 1/2 into 1/2 14.272 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.272 * [taylor]: Taking taylor expansion of (* i n) in i 14.272 * [taylor]: Taking taylor expansion of i in i 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 1 into 1 14.272 * [taylor]: Taking taylor expansion of n in i 14.272 * [backup-simplify]: Simplify n into n 14.272 * [backup-simplify]: Simplify (* 0 n) into 0 14.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.272 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.272 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.272 * [taylor]: Taking taylor expansion of 1/6 in i 14.272 * [backup-simplify]: Simplify 1/6 into 1/6 14.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.272 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.272 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.272 * [taylor]: Taking taylor expansion of i in i 14.272 * [backup-simplify]: Simplify 0 into 0 14.272 * [backup-simplify]: Simplify 1 into 1 14.272 * [taylor]: Taking taylor expansion of n in i 14.272 * [backup-simplify]: Simplify n into n 14.272 * [backup-simplify]: Simplify (* 1 1) into 1 14.272 * [backup-simplify]: Simplify (* 1 n) into n 14.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.272 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.272 * [taylor]: Taking taylor expansion of n in i 14.273 * [backup-simplify]: Simplify n into n 14.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.273 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.273 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.273 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 n))) into (- (* 1/6 (/ 1 n))) 14.273 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 n)))) into (- (* 1/6 (/ 1 n))) 14.273 * [backup-simplify]: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) 14.273 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) 14.273 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) 14.273 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) 14.273 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.273 * [taylor]: Taking taylor expansion of 1/3 in n 14.273 * [backup-simplify]: Simplify 1/3 into 1/3 14.273 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.274 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.274 * [taylor]: Taking taylor expansion of 1/2 in n 14.274 * [backup-simplify]: Simplify 1/2 into 1/2 14.274 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.274 * [taylor]: Taking taylor expansion of (* i n) in n 14.274 * [taylor]: Taking taylor expansion of i in n 14.274 * [backup-simplify]: Simplify i into i 14.274 * [taylor]: Taking taylor expansion of n in n 14.274 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify 1 into 1 14.274 * [backup-simplify]: Simplify (* i 0) into 0 14.274 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.274 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.274 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.274 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.274 * [taylor]: Taking taylor expansion of 1/6 in n 14.274 * [backup-simplify]: Simplify 1/6 into 1/6 14.274 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.274 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.274 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.274 * [taylor]: Taking taylor expansion of i in n 14.274 * [backup-simplify]: Simplify i into i 14.274 * [taylor]: Taking taylor expansion of n in n 14.274 * [backup-simplify]: Simplify 0 into 0 14.274 * [backup-simplify]: Simplify 1 into 1 14.274 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.274 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.274 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.275 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.275 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.275 * [taylor]: Taking taylor expansion of n in n 14.275 * [backup-simplify]: Simplify 0 into 0 14.275 * [backup-simplify]: Simplify 1 into 1 14.275 * [backup-simplify]: Simplify (/ 1 1) into 1 14.275 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.275 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.275 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.275 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.275 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.276 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.276 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.276 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.276 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.276 * [taylor]: Taking taylor expansion of 1/3 in n 14.276 * [backup-simplify]: Simplify 1/3 into 1/3 14.276 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.276 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.276 * [taylor]: Taking taylor expansion of 1/2 in n 14.276 * [backup-simplify]: Simplify 1/2 into 1/2 14.276 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.277 * [taylor]: Taking taylor expansion of (* i n) in n 14.277 * [taylor]: Taking taylor expansion of i in n 14.277 * [backup-simplify]: Simplify i into i 14.277 * [taylor]: Taking taylor expansion of n in n 14.277 * [backup-simplify]: Simplify 0 into 0 14.277 * [backup-simplify]: Simplify 1 into 1 14.277 * [backup-simplify]: Simplify (* i 0) into 0 14.277 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.277 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.277 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.277 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.277 * [taylor]: Taking taylor expansion of 1/6 in n 14.277 * [backup-simplify]: Simplify 1/6 into 1/6 14.277 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.277 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.277 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.277 * [taylor]: Taking taylor expansion of i in n 14.277 * [backup-simplify]: Simplify i into i 14.277 * [taylor]: Taking taylor expansion of n in n 14.277 * [backup-simplify]: Simplify 0 into 0 14.277 * [backup-simplify]: Simplify 1 into 1 14.277 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.277 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.277 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.278 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.278 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.278 * [taylor]: Taking taylor expansion of n in n 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify 1 into 1 14.278 * [backup-simplify]: Simplify (/ 1 1) into 1 14.278 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.278 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.278 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.278 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.278 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.278 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.279 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i 14.279 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) in i 14.280 * [taylor]: Taking taylor expansion of 1/3 in i 14.280 * [backup-simplify]: Simplify 1/3 into 1/3 14.280 * [taylor]: Taking taylor expansion of (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i 14.280 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i 14.280 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i 14.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.280 * [taylor]: Taking taylor expansion of 1/2 in i 14.280 * [backup-simplify]: Simplify 1/2 into 1/2 14.280 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.280 * [taylor]: Taking taylor expansion of i in i 14.280 * [backup-simplify]: Simplify 0 into 0 14.280 * [backup-simplify]: Simplify 1 into 1 14.280 * [backup-simplify]: Simplify (/ 1 1) into 1 14.280 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) 1) in i 14.280 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.280 * [taylor]: Taking taylor expansion of 1/6 in i 14.280 * [backup-simplify]: Simplify 1/6 into 1/6 14.280 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.280 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.280 * [taylor]: Taking taylor expansion of i in i 14.280 * [backup-simplify]: Simplify 0 into 0 14.280 * [backup-simplify]: Simplify 1 into 1 14.280 * [backup-simplify]: Simplify (* 1 1) into 1 14.281 * [backup-simplify]: Simplify (/ 1 1) into 1 14.281 * [taylor]: Taking taylor expansion of 1 in i 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.281 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.281 * [backup-simplify]: Simplify (- 1/6) into -1/6 14.282 * [backup-simplify]: Simplify (+ 0 -1/6) into -1/6 14.282 * [backup-simplify]: Simplify (log -1/6) into (log -1/6) 14.282 * [taylor]: Taking taylor expansion of (log n) in i 14.282 * [taylor]: Taking taylor expansion of n in i 14.282 * [backup-simplify]: Simplify n into n 14.282 * [backup-simplify]: Simplify (log n) into (log n) 14.282 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) 14.282 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.283 * [backup-simplify]: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) 14.283 * [backup-simplify]: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) 14.283 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.284 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.285 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.285 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.286 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.286 * [backup-simplify]: Simplify (+ 0 0) into 0 14.287 * [backup-simplify]: Simplify (- 0) into 0 14.287 * [backup-simplify]: Simplify (+ 0 0) into 0 14.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 14.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 14.289 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.289 * [taylor]: Taking taylor expansion of 0 in i 14.289 * [backup-simplify]: Simplify 0 into 0 14.289 * [backup-simplify]: Simplify 0 into 0 14.289 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.291 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.291 * [backup-simplify]: Simplify (+ 0 0) into 0 14.291 * [backup-simplify]: Simplify (- 0) into 0 14.291 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 14.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.293 * [backup-simplify]: Simplify (- 0) into 0 14.293 * [backup-simplify]: Simplify (+ -3 0) into -3 14.294 * [backup-simplify]: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) 14.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.295 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.295 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.297 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.297 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.298 * [backup-simplify]: Simplify (+ 0 0) into 0 14.299 * [backup-simplify]: Simplify (- 0) into 0 14.299 * [backup-simplify]: Simplify (+ 0 0) into 0 14.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 14.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 14.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.302 * [taylor]: Taking taylor expansion of 0 in i 14.302 * [backup-simplify]: Simplify 0 into 0 14.302 * [backup-simplify]: Simplify 0 into 0 14.302 * [backup-simplify]: Simplify 0 into 0 14.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.305 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.305 * [backup-simplify]: Simplify (+ 0 1) into 1 14.305 * [backup-simplify]: Simplify (- 1) into -1 14.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 14.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.308 * [backup-simplify]: Simplify (- 0) into 0 14.309 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.310 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 14.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.315 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.316 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) 14.316 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 14.317 * [backup-simplify]: Simplify (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) into (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) 14.317 * [approximate]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in (n i) around 0 14.317 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in i 14.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in i 14.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in i 14.317 * [taylor]: Taking taylor expansion of 1/3 in i 14.317 * [backup-simplify]: Simplify 1/3 into 1/3 14.317 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in i 14.317 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in i 14.317 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 14.317 * [taylor]: Taking taylor expansion of 1/6 in i 14.317 * [backup-simplify]: Simplify 1/6 into 1/6 14.317 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.317 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.317 * [taylor]: Taking taylor expansion of i in i 14.317 * [backup-simplify]: Simplify 0 into 0 14.317 * [backup-simplify]: Simplify 1 into 1 14.317 * [taylor]: Taking taylor expansion of n in i 14.317 * [backup-simplify]: Simplify n into n 14.317 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in i 14.317 * [taylor]: Taking taylor expansion of n in i 14.317 * [backup-simplify]: Simplify n into n 14.317 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in i 14.317 * [taylor]: Taking taylor expansion of 1/2 in i 14.317 * [backup-simplify]: Simplify 1/2 into 1/2 14.317 * [taylor]: Taking taylor expansion of (* i n) in i 14.317 * [taylor]: Taking taylor expansion of i in i 14.317 * [backup-simplify]: Simplify 0 into 0 14.317 * [backup-simplify]: Simplify 1 into 1 14.317 * [taylor]: Taking taylor expansion of n in i 14.317 * [backup-simplify]: Simplify n into n 14.317 * [backup-simplify]: Simplify (* 0 n) into 0 14.317 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.317 * [backup-simplify]: Simplify (+ n 0) into n 14.317 * [backup-simplify]: Simplify (+ 0 n) into n 14.317 * [backup-simplify]: Simplify (log n) into (log n) 14.317 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.318 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.318 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.318 * [taylor]: Taking taylor expansion of 1/3 in n 14.318 * [backup-simplify]: Simplify 1/3 into 1/3 14.318 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.318 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.318 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.318 * [taylor]: Taking taylor expansion of 1/6 in n 14.318 * [backup-simplify]: Simplify 1/6 into 1/6 14.318 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.318 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.318 * [taylor]: Taking taylor expansion of i in n 14.318 * [backup-simplify]: Simplify i into i 14.318 * [taylor]: Taking taylor expansion of n in n 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.318 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.318 * [taylor]: Taking taylor expansion of n in n 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.318 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.318 * [taylor]: Taking taylor expansion of 1/2 in n 14.318 * [backup-simplify]: Simplify 1/2 into 1/2 14.318 * [taylor]: Taking taylor expansion of (* i n) in n 14.318 * [taylor]: Taking taylor expansion of i in n 14.318 * [backup-simplify]: Simplify i into i 14.318 * [taylor]: Taking taylor expansion of n in n 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.318 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.318 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.318 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.318 * [backup-simplify]: Simplify (* i 0) into 0 14.319 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.319 * [backup-simplify]: Simplify (+ 0 0) into 0 14.319 * [backup-simplify]: Simplify (+ 0 0) into 0 14.319 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.320 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.320 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.320 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.320 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.320 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.321 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.321 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.321 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.321 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.321 * [taylor]: Taking taylor expansion of (pow (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) 1/3) in n 14.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))))) in n 14.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))))) in n 14.321 * [taylor]: Taking taylor expansion of 1/3 in n 14.321 * [backup-simplify]: Simplify 1/3 into 1/3 14.321 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n))))) in n 14.321 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) in n 14.322 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.322 * [taylor]: Taking taylor expansion of 1/6 in n 14.322 * [backup-simplify]: Simplify 1/6 into 1/6 14.322 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.322 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.322 * [taylor]: Taking taylor expansion of i in n 14.322 * [backup-simplify]: Simplify i into i 14.322 * [taylor]: Taking taylor expansion of n in n 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.322 * [taylor]: Taking taylor expansion of (+ n (* 1/2 (* i n))) in n 14.322 * [taylor]: Taking taylor expansion of n in n 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.322 * [taylor]: Taking taylor expansion of (* 1/2 (* i n)) in n 14.322 * [taylor]: Taking taylor expansion of 1/2 in n 14.322 * [backup-simplify]: Simplify 1/2 into 1/2 14.322 * [taylor]: Taking taylor expansion of (* i n) in n 14.322 * [taylor]: Taking taylor expansion of i in n 14.322 * [backup-simplify]: Simplify i into i 14.322 * [taylor]: Taking taylor expansion of n in n 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.322 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.322 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.322 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.322 * [backup-simplify]: Simplify (* i 0) into 0 14.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.323 * [backup-simplify]: Simplify (+ 0 0) into 0 14.323 * [backup-simplify]: Simplify (+ 0 0) into 0 14.323 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.323 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.324 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.324 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.324 * [backup-simplify]: Simplify (+ (* 1/2 i) (* 0 0)) into (* 1/2 i) 14.324 * [backup-simplify]: Simplify (+ 1 (* 1/2 i)) into (+ (* 1/2 i) 1) 14.324 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 14.324 * [backup-simplify]: Simplify (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) into (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) 14.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.325 * [backup-simplify]: Simplify (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) into (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) 14.325 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) 14.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) in i 14.325 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))) in i 14.325 * [taylor]: Taking taylor expansion of 1/3 in i 14.325 * [backup-simplify]: Simplify 1/3 into 1/3 14.325 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) in i 14.325 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) in i 14.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) in i 14.325 * [taylor]: Taking taylor expansion of (* 1/2 i) in i 14.325 * [taylor]: Taking taylor expansion of 1/2 in i 14.325 * [backup-simplify]: Simplify 1/2 into 1/2 14.325 * [taylor]: Taking taylor expansion of i in i 14.325 * [backup-simplify]: Simplify 0 into 0 14.325 * [backup-simplify]: Simplify 1 into 1 14.325 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow i 2)) 1) in i 14.325 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 14.325 * [taylor]: Taking taylor expansion of 1/6 in i 14.325 * [backup-simplify]: Simplify 1/6 into 1/6 14.325 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.326 * [taylor]: Taking taylor expansion of i in i 14.326 * [backup-simplify]: Simplify 0 into 0 14.326 * [backup-simplify]: Simplify 1 into 1 14.326 * [taylor]: Taking taylor expansion of 1 in i 14.326 * [backup-simplify]: Simplify 1 into 1 14.326 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.326 * [backup-simplify]: Simplify (+ 0 1) into 1 14.326 * [backup-simplify]: Simplify (+ 0 1) into 1 14.327 * [backup-simplify]: Simplify (log 1) into 0 14.327 * [taylor]: Taking taylor expansion of (log n) in i 14.327 * [taylor]: Taking taylor expansion of n in i 14.327 * [backup-simplify]: Simplify n into n 14.327 * [backup-simplify]: Simplify (log n) into (log n) 14.327 * [backup-simplify]: Simplify (+ 0 (log n)) into (log n) 14.327 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 14.327 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 14.327 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 14.327 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.328 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.328 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 14.329 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 i) (* 0 0))) into 0 14.329 * [backup-simplify]: Simplify (+ 0 0) into 0 14.330 * [backup-simplify]: Simplify (+ 0 0) into 0 14.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 1) into 0 14.331 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) into 0 14.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.332 * [taylor]: Taking taylor expansion of 0 in i 14.332 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.333 * [backup-simplify]: Simplify (+ 0 0) into 0 14.333 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.335 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.335 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log n))) into 1/6 14.336 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow n 1/3)) 14.336 * [backup-simplify]: Simplify (* 1/6 (pow n 1/3)) into (* 1/6 (pow n 1/3)) 14.336 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.337 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.337 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 14.338 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 i) (* 0 0)))) into 0 14.339 * [backup-simplify]: Simplify (+ 0 0) into 0 14.339 * [backup-simplify]: Simplify (+ 0 0) into 0 14.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 1)))) 2) into 0 14.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)))) into (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)) 14.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n))))) into 0 14.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.342 * [taylor]: Taking taylor expansion of 0 in i 14.342 * [backup-simplify]: Simplify 0 into 0 14.342 * [backup-simplify]: Simplify 0 into 0 14.342 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.343 * [backup-simplify]: Simplify (* 1 1) into 1 14.344 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.344 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.344 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 14.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/24 14.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.347 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 14.348 * [backup-simplify]: Simplify (+ (* 1/3 1/24) (+ (* 0 1/2) (* 0 (log n)))) into 1/72 14.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 1/72 1) 1)))) into (* 1/36 (pow n 1/3)) 14.349 * [backup-simplify]: Simplify (* 1/36 (pow n 1/3)) into (* 1/36 (pow n 1/3)) 14.349 * [backup-simplify]: Simplify (+ (* (* 1/36 (pow n 1/3)) (pow (* i 1) 2)) (+ (* (* 1/6 (pow n 1/3)) (* i 1)) (pow n 1/3))) into (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) 14.349 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) (+ (* (* (/ 1 n) (/ 1 i)) 1/2) (/ 1 n)))) into (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.349 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.349 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.349 * [taylor]: Taking taylor expansion of 1/3 in i 14.349 * [backup-simplify]: Simplify 1/3 into 1/3 14.349 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.349 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.349 * [taylor]: Taking taylor expansion of 1/2 in i 14.349 * [backup-simplify]: Simplify 1/2 into 1/2 14.349 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.349 * [taylor]: Taking taylor expansion of (* i n) in i 14.349 * [taylor]: Taking taylor expansion of i in i 14.349 * [backup-simplify]: Simplify 0 into 0 14.349 * [backup-simplify]: Simplify 1 into 1 14.349 * [taylor]: Taking taylor expansion of n in i 14.349 * [backup-simplify]: Simplify n into n 14.349 * [backup-simplify]: Simplify (* 0 n) into 0 14.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.350 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.350 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.350 * [taylor]: Taking taylor expansion of 1/6 in i 14.350 * [backup-simplify]: Simplify 1/6 into 1/6 14.350 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.350 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.350 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.350 * [taylor]: Taking taylor expansion of i in i 14.350 * [backup-simplify]: Simplify 0 into 0 14.350 * [backup-simplify]: Simplify 1 into 1 14.350 * [taylor]: Taking taylor expansion of n in i 14.350 * [backup-simplify]: Simplify n into n 14.350 * [backup-simplify]: Simplify (* 1 1) into 1 14.350 * [backup-simplify]: Simplify (* 1 n) into n 14.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.350 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.350 * [taylor]: Taking taylor expansion of n in i 14.350 * [backup-simplify]: Simplify n into n 14.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.350 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.351 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.351 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ 1 n))) into (* 1/6 (/ 1 n)) 14.351 * [backup-simplify]: Simplify (log (* 1/6 (/ 1 n))) into (log (/ 1/6 n)) 14.351 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (/ 1/6 n))) into (- (log (/ 1/6 n)) (* 2 (log i))) 14.351 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) into (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i)))) 14.351 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) into (exp (* 1/3 (- (log (/ 1/6 n)) (* 2 (log i))))) 14.351 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.351 * [taylor]: Taking taylor expansion of 1/3 in n 14.351 * [backup-simplify]: Simplify 1/3 into 1/3 14.351 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.351 * [taylor]: Taking taylor expansion of 1/2 in n 14.351 * [backup-simplify]: Simplify 1/2 into 1/2 14.351 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.351 * [taylor]: Taking taylor expansion of (* i n) in n 14.351 * [taylor]: Taking taylor expansion of i in n 14.351 * [backup-simplify]: Simplify i into i 14.351 * [taylor]: Taking taylor expansion of n in n 14.351 * [backup-simplify]: Simplify 0 into 0 14.351 * [backup-simplify]: Simplify 1 into 1 14.351 * [backup-simplify]: Simplify (* i 0) into 0 14.352 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.352 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.352 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.352 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.352 * [taylor]: Taking taylor expansion of 1/6 in n 14.352 * [backup-simplify]: Simplify 1/6 into 1/6 14.352 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.352 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.352 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.352 * [taylor]: Taking taylor expansion of i in n 14.352 * [backup-simplify]: Simplify i into i 14.352 * [taylor]: Taking taylor expansion of n in n 14.352 * [backup-simplify]: Simplify 0 into 0 14.352 * [backup-simplify]: Simplify 1 into 1 14.352 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.352 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.352 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.352 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.352 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.352 * [taylor]: Taking taylor expansion of n in n 14.352 * [backup-simplify]: Simplify 0 into 0 14.352 * [backup-simplify]: Simplify 1 into 1 14.353 * [backup-simplify]: Simplify (/ 1 1) into 1 14.353 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.353 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.353 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.353 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.353 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.354 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.354 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.354 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.354 * [taylor]: Taking taylor expansion of 1/3 in n 14.354 * [backup-simplify]: Simplify 1/3 into 1/3 14.354 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.354 * [taylor]: Taking taylor expansion of 1/2 in n 14.354 * [backup-simplify]: Simplify 1/2 into 1/2 14.354 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.354 * [taylor]: Taking taylor expansion of (* i n) in n 14.354 * [taylor]: Taking taylor expansion of i in n 14.354 * [backup-simplify]: Simplify i into i 14.354 * [taylor]: Taking taylor expansion of n in n 14.354 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify 1 into 1 14.354 * [backup-simplify]: Simplify (* i 0) into 0 14.354 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.354 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.355 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.355 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.355 * [taylor]: Taking taylor expansion of 1/6 in n 14.355 * [backup-simplify]: Simplify 1/6 into 1/6 14.355 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.355 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.355 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.355 * [taylor]: Taking taylor expansion of i in n 14.355 * [backup-simplify]: Simplify i into i 14.355 * [taylor]: Taking taylor expansion of n in n 14.355 * [backup-simplify]: Simplify 0 into 0 14.355 * [backup-simplify]: Simplify 1 into 1 14.355 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.355 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.355 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.355 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.355 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.355 * [taylor]: Taking taylor expansion of n in n 14.355 * [backup-simplify]: Simplify 0 into 0 14.355 * [backup-simplify]: Simplify 1 into 1 14.355 * [backup-simplify]: Simplify (/ 1 1) into 1 14.356 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.356 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.356 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.356 * [backup-simplify]: Simplify (+ (/ 1/2 i) (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 14.356 * [backup-simplify]: Simplify (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) into (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) 14.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.356 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) into (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) 14.357 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) 14.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) in i 14.357 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))) in i 14.357 * [taylor]: Taking taylor expansion of 1/3 in i 14.357 * [backup-simplify]: Simplify 1/3 into 1/3 14.357 * [taylor]: Taking taylor expansion of (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) in i 14.357 * [taylor]: Taking taylor expansion of (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) in i 14.357 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) in i 14.357 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.357 * [taylor]: Taking taylor expansion of 1/6 in i 14.357 * [backup-simplify]: Simplify 1/6 into 1/6 14.357 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.357 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.357 * [taylor]: Taking taylor expansion of i in i 14.357 * [backup-simplify]: Simplify 0 into 0 14.357 * [backup-simplify]: Simplify 1 into 1 14.357 * [backup-simplify]: Simplify (* 1 1) into 1 14.357 * [backup-simplify]: Simplify (/ 1 1) into 1 14.357 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 i)) 1) in i 14.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.358 * [taylor]: Taking taylor expansion of 1/2 in i 14.358 * [backup-simplify]: Simplify 1/2 into 1/2 14.358 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.358 * [taylor]: Taking taylor expansion of i in i 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify 1 into 1 14.358 * [backup-simplify]: Simplify (/ 1 1) into 1 14.358 * [taylor]: Taking taylor expansion of 1 in i 14.358 * [backup-simplify]: Simplify 1 into 1 14.358 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.358 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.359 * [backup-simplify]: Simplify (log 1/6) into (log 1/6) 14.359 * [taylor]: Taking taylor expansion of (log n) in i 14.359 * [taylor]: Taking taylor expansion of n in i 14.359 * [backup-simplify]: Simplify n into n 14.359 * [backup-simplify]: Simplify (log n) into (log n) 14.359 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log 1/6)) into (- (log 1/6) (* 2 (log i))) 14.359 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.360 * [backup-simplify]: Simplify (+ (- (log 1/6) (* 2 (log i))) (- (log n))) into (- (log 1/6) (+ (log n) (* 2 (log i)))) 14.360 * [backup-simplify]: Simplify (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i))))) into (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n)))) 14.360 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.361 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.361 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.362 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.362 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.363 * [backup-simplify]: Simplify (+ 0 0) into 0 14.364 * [backup-simplify]: Simplify (+ 0 0) into 0 14.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 1) into 0 14.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) into 0 14.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.366 * [taylor]: Taking taylor expansion of 0 in i 14.366 * [backup-simplify]: Simplify 0 into 0 14.366 * [backup-simplify]: Simplify 0 into 0 14.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.367 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.367 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.368 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.368 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/6 1)))) 1) into 3 14.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.369 * [backup-simplify]: Simplify (- 0) into 0 14.370 * [backup-simplify]: Simplify (+ 3 0) into 3 14.370 * [backup-simplify]: Simplify (+ (* 1/3 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into 1 14.371 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.371 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.372 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.373 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.374 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.374 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.375 * [backup-simplify]: Simplify (+ 0 0) into 0 14.375 * [backup-simplify]: Simplify (+ 0 0) into 0 14.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)) 1)))) 2) into 0 14.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1)))) into (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)) 14.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n))))) into 0 14.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (+ (* 1/6 (/ 1 (pow i 2))) (+ (* 1/2 (/ 1 i)) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.378 * [taylor]: Taking taylor expansion of 0 in i 14.378 * [backup-simplify]: Simplify 0 into 0 14.378 * [backup-simplify]: Simplify 0 into 0 14.378 * [backup-simplify]: Simplify 0 into 0 14.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.380 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.382 * [backup-simplify]: Simplify (+ 0 1) into 1 14.382 * [backup-simplify]: Simplify (+ 0 1) into 1 14.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/6 1)))) 2) into 3/2 14.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.385 * [backup-simplify]: Simplify (- 0) into 0 14.385 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.386 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 3) (* 0 (- (log 1/6) (+ (log n) (* 2 (log i))))))) into 1/2 14.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) 14.387 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/6) (+ (log n) (* 2 (log i)))))) into (exp (* 1/3 (- (log 1/6) (+ (* 2 (log i)) (log n))))) 14.388 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow (* (/ 1 i) 1) 2)) (+ (* (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (* (/ 1 i) 1)) (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))))) into (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) 14.389 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) (+ (* (* (/ 1 (- n)) (/ 1 (- i))) 1/2) (/ 1 (- n))))) into (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) 14.389 * [approximate]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in (n i) around 0 14.389 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in i 14.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in i 14.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in i 14.389 * [taylor]: Taking taylor expansion of 1/3 in i 14.389 * [backup-simplify]: Simplify 1/3 into 1/3 14.389 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in i 14.389 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in i 14.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in i 14.389 * [taylor]: Taking taylor expansion of 1/2 in i 14.389 * [backup-simplify]: Simplify 1/2 into 1/2 14.389 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in i 14.389 * [taylor]: Taking taylor expansion of (* i n) in i 14.389 * [taylor]: Taking taylor expansion of i in i 14.389 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify 1 into 1 14.389 * [taylor]: Taking taylor expansion of n in i 14.389 * [backup-simplify]: Simplify n into n 14.389 * [backup-simplify]: Simplify (* 0 n) into 0 14.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 14.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.389 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in i 14.389 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in i 14.389 * [taylor]: Taking taylor expansion of 1/6 in i 14.389 * [backup-simplify]: Simplify 1/6 into 1/6 14.389 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in i 14.389 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.389 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.389 * [taylor]: Taking taylor expansion of i in i 14.389 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify 1 into 1 14.389 * [taylor]: Taking taylor expansion of n in i 14.389 * [backup-simplify]: Simplify n into n 14.390 * [backup-simplify]: Simplify (* 1 1) into 1 14.390 * [backup-simplify]: Simplify (* 1 n) into n 14.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.390 * [taylor]: Taking taylor expansion of (/ 1 n) in i 14.390 * [taylor]: Taking taylor expansion of n in i 14.390 * [backup-simplify]: Simplify n into n 14.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.390 * [backup-simplify]: Simplify (* 1/6 (/ 1 n)) into (/ 1/6 n) 14.390 * [backup-simplify]: Simplify (+ (/ 1/6 n) 0) into (* 1/6 (/ 1 n)) 14.390 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 n))) into (- (* 1/6 (/ 1 n))) 14.390 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 n)))) into (- (* 1/6 (/ 1 n))) 14.390 * [backup-simplify]: Simplify (log (- (* 1/6 (/ 1 n)))) into (log (- (* 1/6 (/ 1 n)))) 14.390 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log (- (* 1/6 (/ 1 n))))) into (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))) 14.391 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) into (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i)))) 14.391 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) into (exp (* 1/3 (- (log (- (* 1/6 (/ 1 n)))) (* 2 (log i))))) 14.391 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.391 * [taylor]: Taking taylor expansion of 1/3 in n 14.391 * [backup-simplify]: Simplify 1/3 into 1/3 14.391 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.391 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.391 * [taylor]: Taking taylor expansion of 1/2 in n 14.391 * [backup-simplify]: Simplify 1/2 into 1/2 14.391 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.391 * [taylor]: Taking taylor expansion of (* i n) in n 14.391 * [taylor]: Taking taylor expansion of i in n 14.391 * [backup-simplify]: Simplify i into i 14.391 * [taylor]: Taking taylor expansion of n in n 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify 1 into 1 14.391 * [backup-simplify]: Simplify (* i 0) into 0 14.391 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.391 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.391 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.391 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.391 * [taylor]: Taking taylor expansion of 1/6 in n 14.391 * [backup-simplify]: Simplify 1/6 into 1/6 14.391 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.391 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.391 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.391 * [taylor]: Taking taylor expansion of i in n 14.391 * [backup-simplify]: Simplify i into i 14.391 * [taylor]: Taking taylor expansion of n in n 14.391 * [backup-simplify]: Simplify 0 into 0 14.391 * [backup-simplify]: Simplify 1 into 1 14.391 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.392 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.392 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.392 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.392 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.392 * [taylor]: Taking taylor expansion of n in n 14.392 * [backup-simplify]: Simplify 0 into 0 14.392 * [backup-simplify]: Simplify 1 into 1 14.392 * [backup-simplify]: Simplify (/ 1 1) into 1 14.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.392 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.392 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.393 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.393 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.393 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.393 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.394 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.394 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) 1/3) in n 14.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))))) in n 14.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))))) in n 14.394 * [taylor]: Taking taylor expansion of 1/3 in n 14.394 * [backup-simplify]: Simplify 1/3 into 1/3 14.394 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)))) in n 14.394 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* i n))) (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n))) in n 14.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* i n))) in n 14.394 * [taylor]: Taking taylor expansion of 1/2 in n 14.394 * [backup-simplify]: Simplify 1/2 into 1/2 14.394 * [taylor]: Taking taylor expansion of (/ 1 (* i n)) in n 14.394 * [taylor]: Taking taylor expansion of (* i n) in n 14.394 * [taylor]: Taking taylor expansion of i in n 14.394 * [backup-simplify]: Simplify i into i 14.394 * [taylor]: Taking taylor expansion of n in n 14.394 * [backup-simplify]: Simplify 0 into 0 14.394 * [backup-simplify]: Simplify 1 into 1 14.394 * [backup-simplify]: Simplify (* i 0) into 0 14.394 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i 14.394 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 14.394 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (* (pow i 2) n))) (/ 1 n)) in n 14.394 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow i 2) n))) in n 14.394 * [taylor]: Taking taylor expansion of 1/6 in n 14.394 * [backup-simplify]: Simplify 1/6 into 1/6 14.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) n)) in n 14.394 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.394 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.394 * [taylor]: Taking taylor expansion of i in n 14.394 * [backup-simplify]: Simplify i into i 14.394 * [taylor]: Taking taylor expansion of n in n 14.394 * [backup-simplify]: Simplify 0 into 0 14.394 * [backup-simplify]: Simplify 1 into 1 14.394 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.394 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.394 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.395 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.395 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) 14.395 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.395 * [taylor]: Taking taylor expansion of n in n 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify 1 into 1 14.395 * [backup-simplify]: Simplify (/ 1 1) into 1 14.395 * [backup-simplify]: Simplify (* 1/2 (/ 1 i)) into (/ 1/2 i) 14.395 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow i 2))) into (/ 1/6 (pow i 2)) 14.395 * [backup-simplify]: Simplify (+ (/ 1/6 (pow i 2)) 1) into (+ (* 1/6 (/ 1 (pow i 2))) 1) 14.395 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) into (- (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.396 * [backup-simplify]: Simplify (+ (/ 1/2 i) (- (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 14.396 * [backup-simplify]: Simplify (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) into (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) 14.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.396 * [backup-simplify]: Simplify (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) into (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) 14.396 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) 14.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) in i 14.397 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))) in i 14.397 * [taylor]: Taking taylor expansion of 1/3 in i 14.397 * [backup-simplify]: Simplify 1/3 into 1/3 14.397 * [taylor]: Taking taylor expansion of (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) in i 14.397 * [taylor]: Taking taylor expansion of (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) in i 14.397 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) in i 14.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 i)) in i 14.397 * [taylor]: Taking taylor expansion of 1/2 in i 14.397 * [backup-simplify]: Simplify 1/2 into 1/2 14.397 * [taylor]: Taking taylor expansion of (/ 1 i) in i 14.397 * [taylor]: Taking taylor expansion of i in i 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (/ 1 1) into 1 14.397 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow i 2))) 1) in i 14.397 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow i 2))) in i 14.397 * [taylor]: Taking taylor expansion of 1/6 in i 14.397 * [backup-simplify]: Simplify 1/6 into 1/6 14.397 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 14.397 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.397 * [taylor]: Taking taylor expansion of i in i 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [backup-simplify]: Simplify (* 1 1) into 1 14.398 * [backup-simplify]: Simplify (/ 1 1) into 1 14.398 * [taylor]: Taking taylor expansion of 1 in i 14.398 * [backup-simplify]: Simplify 1 into 1 14.398 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.398 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 14.398 * [backup-simplify]: Simplify (- 1/6) into -1/6 14.399 * [backup-simplify]: Simplify (+ 0 -1/6) into -1/6 14.399 * [backup-simplify]: Simplify (log -1/6) into (log -1/6) 14.399 * [taylor]: Taking taylor expansion of (log n) in i 14.399 * [taylor]: Taking taylor expansion of n in i 14.399 * [backup-simplify]: Simplify n into n 14.399 * [backup-simplify]: Simplify (log n) into (log n) 14.399 * [backup-simplify]: Simplify (+ (* (- 2) (log i)) (log -1/6)) into (- (log -1/6) (* 2 (log i))) 14.400 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 14.400 * [backup-simplify]: Simplify (+ (- (log -1/6) (* 2 (log i))) (- (log n))) into (- (log -1/6) (+ (* 2 (log i)) (log n))) 14.400 * [backup-simplify]: Simplify (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) into (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))) 14.404 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.405 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.405 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 14.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 14.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 i))) into 0 14.406 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.407 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.407 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ 1 (pow i 2)))) into 0 14.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.408 * [backup-simplify]: Simplify (+ 0 0) into 0 14.408 * [backup-simplify]: Simplify (- 0) into 0 14.408 * [backup-simplify]: Simplify (+ 0 0) into 0 14.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 1) into 0 14.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) into 0 14.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 14.411 * [taylor]: Taking taylor expansion of 0 in i 14.411 * [backup-simplify]: Simplify 0 into 0 14.411 * [backup-simplify]: Simplify 0 into 0 14.411 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.413 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.413 * [backup-simplify]: Simplify (+ 0 0) into 0 14.413 * [backup-simplify]: Simplify (- 0) into 0 14.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/6 1)))) 1) into -3 14.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 14.415 * [backup-simplify]: Simplify (- 0) into 0 14.415 * [backup-simplify]: Simplify (+ -3 0) into -3 14.416 * [backup-simplify]: Simplify (+ (* 1/3 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (- 1) 14.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 1) 1)))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.417 * [backup-simplify]: Simplify (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) 14.417 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 14.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 14.419 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.419 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.420 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (/ 1 (pow i 2))))) into 0 14.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.421 * [backup-simplify]: Simplify (+ 0 0) into 0 14.421 * [backup-simplify]: Simplify (- 0) into 0 14.421 * [backup-simplify]: Simplify (+ 0 0) into 0 14.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)) 1)))) 2) into 0 14.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1)))) into (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)) 14.423 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n))))) into 0 14.424 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 (/ 1 i)) (+ (* 1/6 (/ 1 (pow i 2))) 1))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.424 * [taylor]: Taking taylor expansion of 0 in i 14.424 * [backup-simplify]: Simplify 0 into 0 14.424 * [backup-simplify]: Simplify 0 into 0 14.424 * [backup-simplify]: Simplify 0 into 0 14.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.427 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 14.427 * [backup-simplify]: Simplify (+ 0 1) into 1 14.427 * [backup-simplify]: Simplify (- 1) into -1 14.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow -1/6 1)))) 2) into 3/2 14.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 14.431 * [backup-simplify]: Simplify (- 0) into 0 14.431 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 14.432 * [backup-simplify]: Simplify (+ (* 1/3 3/2) (+ (* 0 -3) (* 0 (- (log -1/6) (+ (* 2 (log i)) (log n)))))) into 1/2 14.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.433 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) into (exp (* 1/3 (- (log -1/6) (+ (* 2 (log i)) (log n))))) 14.435 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))) (pow (* (/ 1 (- i)) 1) 2)) (+ (* (* -1 (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n)))))))) (* (/ 1 (- i)) 1)) (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ 1 (- i)))) (log (/ 1 (- n))))))))) into (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) 14.435 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 14.435 * [backup-simplify]: Simplify (* n (* (* i i) 1/6)) into (* 1/6 (* (pow i 2) n)) 14.435 * [approximate]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in (n i) around 0 14.435 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in i 14.435 * [taylor]: Taking taylor expansion of 1/6 in i 14.435 * [backup-simplify]: Simplify 1/6 into 1/6 14.435 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.435 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.435 * [taylor]: Taking taylor expansion of i in i 14.435 * [backup-simplify]: Simplify 0 into 0 14.435 * [backup-simplify]: Simplify 1 into 1 14.435 * [taylor]: Taking taylor expansion of n in i 14.435 * [backup-simplify]: Simplify n into n 14.435 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.435 * [taylor]: Taking taylor expansion of 1/6 in n 14.435 * [backup-simplify]: Simplify 1/6 into 1/6 14.435 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.435 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.435 * [taylor]: Taking taylor expansion of i in n 14.435 * [backup-simplify]: Simplify i into i 14.435 * [taylor]: Taking taylor expansion of n in n 14.435 * [backup-simplify]: Simplify 0 into 0 14.435 * [backup-simplify]: Simplify 1 into 1 14.435 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow i 2) n)) in n 14.435 * [taylor]: Taking taylor expansion of 1/6 in n 14.435 * [backup-simplify]: Simplify 1/6 into 1/6 14.435 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.435 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.435 * [taylor]: Taking taylor expansion of i in n 14.435 * [backup-simplify]: Simplify i into i 14.435 * [taylor]: Taking taylor expansion of n in n 14.435 * [backup-simplify]: Simplify 0 into 0 14.435 * [backup-simplify]: Simplify 1 into 1 14.435 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.436 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.436 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.436 * [taylor]: Taking taylor expansion of 0 in i 14.436 * [backup-simplify]: Simplify 0 into 0 14.436 * [backup-simplify]: Simplify 0 into 0 14.436 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.436 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.437 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (* 0 0)) into (* 1/6 (pow i 2)) 14.437 * [taylor]: Taking taylor expansion of (* 1/6 (pow i 2)) in i 14.437 * [taylor]: Taking taylor expansion of 1/6 in i 14.437 * [backup-simplify]: Simplify 1/6 into 1/6 14.437 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.437 * [taylor]: Taking taylor expansion of i in i 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [backup-simplify]: Simplify 1 into 1 14.437 * [backup-simplify]: Simplify (* 1 1) into 1 14.437 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 14.437 * [backup-simplify]: Simplify 1/6 into 1/6 14.437 * [backup-simplify]: Simplify 0 into 0 14.438 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.438 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.439 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (pow i 2)) (* 0 0))) into 0 14.439 * [taylor]: Taking taylor expansion of 0 in i 14.439 * [backup-simplify]: Simplify 0 into 0 14.439 * [backup-simplify]: Simplify 0 into 0 14.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.439 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 14.439 * [backup-simplify]: Simplify 0 into 0 14.440 * [backup-simplify]: Simplify 0 into 0 14.440 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.441 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.443 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (pow i 2)) (* 0 0)))) into 0 14.443 * [taylor]: Taking taylor expansion of 0 in i 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify (* 1/6 (* (pow i 2) n)) into (* 1/6 (* (pow i 2) n)) 14.444 * [backup-simplify]: Simplify (* (/ 1 n) (* (* (/ 1 i) (/ 1 i)) 1/6)) into (/ 1/6 (* (pow i 2) n)) 14.444 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in (n i) around 0 14.444 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in i 14.444 * [taylor]: Taking taylor expansion of 1/6 in i 14.444 * [backup-simplify]: Simplify 1/6 into 1/6 14.444 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.444 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.444 * [taylor]: Taking taylor expansion of i in i 14.444 * [backup-simplify]: Simplify 0 into 0 14.444 * [backup-simplify]: Simplify 1 into 1 14.444 * [taylor]: Taking taylor expansion of n in i 14.444 * [backup-simplify]: Simplify n into n 14.444 * [backup-simplify]: Simplify (* 1 1) into 1 14.444 * [backup-simplify]: Simplify (* 1 n) into n 14.444 * [backup-simplify]: Simplify (/ 1/6 n) into (/ 1/6 n) 14.444 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in n 14.444 * [taylor]: Taking taylor expansion of 1/6 in n 14.444 * [backup-simplify]: Simplify 1/6 into 1/6 14.444 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.444 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.444 * [taylor]: Taking taylor expansion of i in n 14.444 * [backup-simplify]: Simplify i into i 14.444 * [taylor]: Taking taylor expansion of n in n 14.444 * [backup-simplify]: Simplify 0 into 0 14.444 * [backup-simplify]: Simplify 1 into 1 14.444 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.444 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.444 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.445 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.445 * [backup-simplify]: Simplify (/ 1/6 (pow i 2)) into (/ 1/6 (pow i 2)) 14.445 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow i 2) n)) in n 14.445 * [taylor]: Taking taylor expansion of 1/6 in n 14.445 * [backup-simplify]: Simplify 1/6 into 1/6 14.445 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.445 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.445 * [taylor]: Taking taylor expansion of i in n 14.445 * [backup-simplify]: Simplify i into i 14.445 * [taylor]: Taking taylor expansion of n in n 14.445 * [backup-simplify]: Simplify 0 into 0 14.445 * [backup-simplify]: Simplify 1 into 1 14.445 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.445 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.445 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.445 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.445 * [backup-simplify]: Simplify (/ 1/6 (pow i 2)) into (/ 1/6 (pow i 2)) 14.445 * [taylor]: Taking taylor expansion of (/ 1/6 (pow i 2)) in i 14.446 * [taylor]: Taking taylor expansion of 1/6 in i 14.446 * [backup-simplify]: Simplify 1/6 into 1/6 14.446 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.446 * [taylor]: Taking taylor expansion of i in i 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify 1 into 1 14.446 * [backup-simplify]: Simplify (* 1 1) into 1 14.446 * [backup-simplify]: Simplify (/ 1/6 1) into 1/6 14.446 * [backup-simplify]: Simplify 1/6 into 1/6 14.446 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.447 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.447 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.447 * [taylor]: Taking taylor expansion of 0 in i 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 14.448 * [backup-simplify]: Simplify 0 into 0 14.449 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.449 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.449 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.449 * [taylor]: Taking taylor expansion of 0 in i 14.449 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.450 * [backup-simplify]: Simplify 0 into 0 14.451 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0 14.452 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.452 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.452 * [taylor]: Taking taylor expansion of 0 in i 14.452 * [backup-simplify]: Simplify 0 into 0 14.452 * [backup-simplify]: Simplify 0 into 0 14.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.453 * [backup-simplify]: Simplify 0 into 0 14.454 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))))) into 0 14.455 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.455 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.455 * [taylor]: Taking taylor expansion of 0 in i 14.455 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify (* 1/6 (* (pow (/ 1 i) -2) (/ 1 (/ 1 n)))) into (* 1/6 (* (pow i 2) n)) 14.455 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* (* (/ 1 (- i)) (/ 1 (- i))) 1/6)) into (/ -1/6 (* (pow i 2) n)) 14.456 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in (n i) around 0 14.456 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in i 14.456 * [taylor]: Taking taylor expansion of -1/6 in i 14.456 * [backup-simplify]: Simplify -1/6 into -1/6 14.456 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in i 14.456 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.456 * [taylor]: Taking taylor expansion of i in i 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 1 into 1 14.456 * [taylor]: Taking taylor expansion of n in i 14.456 * [backup-simplify]: Simplify n into n 14.456 * [backup-simplify]: Simplify (* 1 1) into 1 14.456 * [backup-simplify]: Simplify (* 1 n) into n 14.456 * [backup-simplify]: Simplify (/ -1/6 n) into (/ -1/6 n) 14.456 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in n 14.456 * [taylor]: Taking taylor expansion of -1/6 in n 14.456 * [backup-simplify]: Simplify -1/6 into -1/6 14.456 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.456 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.456 * [taylor]: Taking taylor expansion of i in n 14.456 * [backup-simplify]: Simplify i into i 14.456 * [taylor]: Taking taylor expansion of n in n 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 1 into 1 14.456 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.456 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.456 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.457 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.457 * [backup-simplify]: Simplify (/ -1/6 (pow i 2)) into (/ -1/6 (pow i 2)) 14.457 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow i 2) n)) in n 14.457 * [taylor]: Taking taylor expansion of -1/6 in n 14.457 * [backup-simplify]: Simplify -1/6 into -1/6 14.457 * [taylor]: Taking taylor expansion of (* (pow i 2) n) in n 14.457 * [taylor]: Taking taylor expansion of (pow i 2) in n 14.457 * [taylor]: Taking taylor expansion of i in n 14.457 * [backup-simplify]: Simplify i into i 14.457 * [taylor]: Taking taylor expansion of n in n 14.457 * [backup-simplify]: Simplify 0 into 0 14.457 * [backup-simplify]: Simplify 1 into 1 14.457 * [backup-simplify]: Simplify (* i i) into (pow i 2) 14.457 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0 14.457 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0 14.457 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) 14.457 * [backup-simplify]: Simplify (/ -1/6 (pow i 2)) into (/ -1/6 (pow i 2)) 14.457 * [taylor]: Taking taylor expansion of (/ -1/6 (pow i 2)) in i 14.457 * [taylor]: Taking taylor expansion of -1/6 in i 14.457 * [backup-simplify]: Simplify -1/6 into -1/6 14.457 * [taylor]: Taking taylor expansion of (pow i 2) in i 14.457 * [taylor]: Taking taylor expansion of i in i 14.457 * [backup-simplify]: Simplify 0 into 0 14.457 * [backup-simplify]: Simplify 1 into 1 14.458 * [backup-simplify]: Simplify (* 1 1) into 1 14.458 * [backup-simplify]: Simplify (/ -1/6 1) into -1/6 14.458 * [backup-simplify]: Simplify -1/6 into -1/6 14.458 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 14.459 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0 14.459 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))))) into 0 14.459 * [taylor]: Taking taylor expansion of 0 in i 14.459 * [backup-simplify]: Simplify 0 into 0 14.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)))) into 0 14.460 * [backup-simplify]: Simplify 0 into 0 14.461 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 14.461 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.461 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.461 * [taylor]: Taking taylor expansion of 0 in i 14.461 * [backup-simplify]: Simplify 0 into 0 14.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0 14.464 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.464 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.464 * [taylor]: Taking taylor expansion of 0 in i 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.466 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))))) into 0 14.467 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.468 * [backup-simplify]: Simplify (- (/ 0 (pow i 2)) (+ (* (/ -1/6 (pow i 2)) (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))) (* 0 (/ 0 (pow i 2))))) into 0 14.468 * [taylor]: Taking taylor expansion of 0 in i 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify (* -1/6 (* (pow (/ 1 (- i)) -2) (/ 1 (/ 1 (- n))))) into (* 1/6 (* (pow i 2) n)) 14.468 * * * [progress]: simplifying candidates 14.468 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 14.468 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))))))> 14.469 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 16 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))))> 14.469 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 32 / 76 ] simplifiying candidate # 14.469 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))))> 14.470 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 48 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 14.470 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #real (real->posit16 (* n (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))))> 14.471 * * * * [progress]: [ 64 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 14.471 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 14.472 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 14.472 * [simplify]: Simplifying: (log (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (exp (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt 1) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (pow (* n (* (* i i) 1/6)) 3) (pow (+ (* (* n i) 1/2) n) 3))) (cbrt (+ (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (- (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)) (* (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (- (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)))) (cbrt (- (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (log (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (exp (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt 1) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (pow (* n (* (* i i) 1/6)) 3) (pow (+ (* (* n i) 1/2) n) 3))) (cbrt (+ (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (- (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)) (* (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (- (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)))) (cbrt (- (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (log (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (exp (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (sqrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt 1) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (pow (* n (* (* i i) 1/6)) 3) (pow (+ (* (* n i) 1/2) n) 3))) (cbrt (+ (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (- (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)) (* (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (- (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* (+ (* (* n i) 1/2) n) (+ (* (* n i) 1/2) n)))) (cbrt (- (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (* (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))))) (cbrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* (* (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (sqrt (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (real->posit16 (cbrt (+ (* n (* (* i i) 1/6)) (+ (* (* n i) 1/2) n)))) (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (+ (log n) (+ (+ (log i) (log i)) (log 1/6))) (+ (log n) (+ (log (* i i)) (log 1/6))) (+ (log n) (log (* (* i i) 1/6))) (log (* n (* (* i i) 1/6))) (exp (* n (* (* i i) 1/6))) (* (* (* n n) n) (* (* (* (* i i) i) (* (* i i) i)) (* (* 1/6 1/6) 1/6))) (* (* (* n n) n) (* (* (* (* i i) (* i i)) (* i i)) (* (* 1/6 1/6) 1/6))) (* (* (* n n) n) (* (* (* (* i i) 1/6) (* (* i i) 1/6)) (* (* i i) 1/6))) (* (cbrt (* n (* (* i i) 1/6))) (cbrt (* n (* (* i i) 1/6)))) (cbrt (* n (* (* i i) 1/6))) (* (* (* n (* (* i i) 1/6)) (* n (* (* i i) 1/6))) (* n (* (* i i) 1/6))) (sqrt (* n (* (* i i) 1/6))) (sqrt (* n (* (* i i) 1/6))) (* n (* i i)) (* (cbrt n) (* (* i i) 1/6)) (* (sqrt n) (* (* i i) 1/6)) (* n (* (* i i) 1/6)) (real->posit16 (* n (* (* i i) 1/6))) (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) (+ (* 1/6 (* i (pow n 1/3))) (+ (* 1/36 (* (pow i 2) (pow n 1/3))) (pow n 1/3))) (+ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (+ (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) (pow i 2)) (/ (exp (* 1/3 (- (log 1/6) (+ (* 2 (log (/ 1 i))) (log (/ 1 n)))))) i))) (+ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (+ (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) i) (/ (exp (* 1/3 (- (log -1/6) (+ (* 2 (log (/ -1 i))) (log (/ -1 n)))))) (pow i 2)))) (* 1/6 (* (pow i 2) n)) (* 1/6 (* (pow i 2) n)) (* 1/6 (* (pow i 2) n)) 14.474 * * [simplify]: iteration 0: 120 enodes 14.505 * * [simplify]: iteration 1: 310 enodes 14.606 * * [simplify]: iteration 2: 1235 enodes 14.986 * * [simplify]: iteration complete: 5000 enodes 14.986 * * [simplify]: Extracting #0: cost 29 inf + 0 14.987 * * [simplify]: Extracting #1: cost 401 inf + 1 14.991 * * [simplify]: Extracting #2: cost 1154 inf + 5886 15.013 * * [simplify]: Extracting #3: cost 1007 inf + 101759 15.053 * * [simplify]: Extracting #4: cost 560 inf + 228300 15.120 * * [simplify]: Extracting #5: cost 151 inf + 333557 15.192 * * [simplify]: Extracting #6: cost 91 inf + 348413 15.269 * * [simplify]: Extracting #7: cost 28 inf + 368247 15.346 * * [simplify]: Extracting #8: cost 5 inf + 377522 15.423 * * [simplify]: Extracting #9: cost 0 inf + 379997 15.500 * * [simplify]: Extracting #10: cost 0 inf + 378907 15.578 * * [simplify]: Extracting #11: cost 0 inf + 378233 15.656 * * [simplify]: Extracting #12: cost 0 inf + 377816 15.734 * [simplify]: Simplified to: (log (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (exp (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (* (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) 1 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (+ n (* (* n 1/2) i))) (* (* i (* i n)) (* 1/216 (* (* i (* i n)) (* i (* i n))))))) (cbrt (- (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (* (* 1/6 (* i (* i n))) (+ (* (* n 1/2) i) (- n (* 1/6 (* i (* i n)))))))) (cbrt (- (* (* (* i (* i n)) (* i (* i n))) 1/36) (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))))) (cbrt (- (* n (* i (- (* i 1/6) 1/2))) n)) (* (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (+ (* n (* i (+ (* i 1/6) 1/2))) n) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (real->posit16 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (log (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (exp (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (* (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) 1 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (+ n (* (* n 1/2) i))) (* (* i (* i n)) (* 1/216 (* (* i (* i n)) (* i (* i n))))))) (cbrt (- (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (* (* 1/6 (* i (* i n))) (+ (* (* n 1/2) i) (- n (* 1/6 (* i (* i n)))))))) (cbrt (- (* (* (* i (* i n)) (* i (* i n))) 1/36) (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))))) (cbrt (- (* n (* i (- (* i 1/6) 1/2))) n)) (* (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (+ (* n (* i (+ (* i 1/6) 1/2))) n) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (real->posit16 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (log (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (exp (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (* (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (sqrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) 1 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)) (cbrt (+ (* (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (+ n (* (* n 1/2) i))) (* (* i (* i n)) (* 1/216 (* (* i (* i n)) (* i (* i n))))))) (cbrt (- (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))) (* (* 1/6 (* i (* i n))) (+ (* (* n 1/2) i) (- n (* 1/6 (* i (* i n)))))))) (cbrt (- (* (* (* i (* i n)) (* i (* i n))) 1/36) (* (+ n (* (* n 1/2) i)) (+ n (* (* n 1/2) i))))) (cbrt (- (* n (* i (- (* i 1/6) 1/2))) n)) (* (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n)))) (cbrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (+ (* n (* i (+ (* i 1/6) 1/2))) n) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (sqrt (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (real->posit16 (cbrt (+ (* n (* i (+ (* i 1/6) 1/2))) n))) (* 1/6 (* i (* i n))) (* 1/6 (* i (* i n))) (* 1/6 (* i (* i n))) (log (* 1/6 (* i (* i n)))) (log (* 1/6 (* i (* i n)))) (log (* 1/6 (* i (* i n)))) (log (* 1/6 (* i (* i n)))) (exp (* 1/6 (* 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)) (* 1/216 (* (* i (* i n)) (* i (* i n))))) (* (cbrt (* 1/6 (* i (* i n)))) (cbrt (* 1/6 (* i (* i n))))) (cbrt (* 1/6 (* i (* i n)))) (* (* i (* i n)) (* 1/216 (* (* i (* i n)) (* i (* i n))))) (sqrt (* 1/6 (* i (* i n)))) (sqrt (* 1/6 (* i (* i n)))) (* i (* i n)) (* (cbrt n) (* i (* i 1/6))) (* (* 1/6 (* (sqrt n) i)) i) (* 1/6 (* i (* i n))) (real->posit16 (* 1/6 (* i (* i n)))) (+ (* (cbrt n) (* i (+ 1/6 (* 1/36 i)))) (cbrt n)) (+ (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (* i i)) (+ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) i))) (+ (+ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (* i i))) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) i)) (+ (* (cbrt n) (* i (+ 1/6 (* 1/36 i)))) (cbrt n)) (+ (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (* i i)) (+ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) i))) (+ (+ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (* i i))) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) i)) (+ (* (cbrt n) (* i (+ 1/6 (* 1/36 i)))) (cbrt n)) (+ (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (* i i)) (+ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) (/ (exp (* 1/3 (+ (+ (log 1/6) (* (log i) 2)) (log n)))) i))) (+ (+ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) (* i i))) (/ (exp (* (- (- (log -1/6) (log (/ -1 n))) (* 2 (log (/ -1 i)))) 1/3)) i)) (* 1/6 (* i (* i n))) (* 1/6 (* i (* i n))) (* 1/6 (* i (* i n))) 15.745 * * * [progress]: adding candidates to table 16.097 * [progress]: [Phase 3 of 3] Extracting. 16.098 * * [regime]: Finding splitpoints for: (# # # # # # # # # #real (real->posit16 (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> # # # # #real (real->posit16 (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> # # # # #) 16.105 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n i) 16.106 * * * * [regimes]: Trying to branch on (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) from (# # # # # # # # # #real (real->posit16 (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> # # # # #real (real->posit16 (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> # # # # #) 16.209 * * * * [regimes]: Trying to branch on (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) from (# #) 16.232 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #real (real->posit16 (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> # # # # #real (real->posit16 (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> # # # # #) 16.360 * * * * [regimes]: Trying to branch on i from (# # # # # # # # # #real (real->posit16 (/ (pow (+ 1 (/ i n)) n) (/ i n)))) (/ 1 (/ i n)))))> # # # # #real (real->posit16 (* (* i i) 1/6)))) (+ (* (* n i) 1/2) n))))> # # # # #) 16.476 * * * [regime]: Found split indices: #