10.084 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.405 * * * [progress]: [2/2] Setting up program. 0.410 * [progress]: [Phase 2 of 3] Improving. 0.410 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.410 * [simplify]: Simplifying: (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 0.410 * * [simplify]: iteration 1: (10 enodes) 0.415 * * [simplify]: iteration 2: (26 enodes) 0.423 * * [simplify]: iteration 3: (57 enodes) 0.446 * * [simplify]: iteration 4: (152 enodes) 0.541 * * [simplify]: iteration 5: (432 enodes) 0.889 * * [simplify]: iteration 6: (1457 enodes) 4.547 * * [simplify]: Extracting #0: cost 1 inf + 0 4.548 * * [simplify]: Extracting #1: cost 300 inf + 0 4.558 * * [simplify]: Extracting #2: cost 1465 inf + 630 4.585 * * [simplify]: Extracting #3: cost 1717 inf + 62714 4.728 * * [simplify]: Extracting #4: cost 970 inf + 408319 4.913 * * [simplify]: Extracting #5: cost 461 inf + 728964 5.157 * * [simplify]: Extracting #6: cost 17 inf + 1064477 5.411 * * [simplify]: Extracting #7: cost 0 inf + 1069121 5.673 * * [simplify]: Extracting #8: cost 0 inf + 1068420 5.941 * [simplify]: Simplified to: (/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n)) 5.952 * * [progress]: iteration 1 / 4 5.953 * * * [progress]: picking best candidate 5.962 * * * * [pick]: Picked # 5.962 * * * [progress]: localizing error 5.988 * * * [progress]: generating rewritten candidates 5.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.639 * * * [progress]: generating series expansions 6.639 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.639 * [backup-simplify]: Simplify (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) into (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) 6.639 * [approximate]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in (i n) around 0 6.639 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n 6.639 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n 6.639 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 6.639 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 6.639 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 6.639 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 6.639 * [taylor]: Taking taylor expansion of n in n 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.639 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 6.639 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 6.639 * [taylor]: Taking taylor expansion of (/ i n) in n 6.639 * [taylor]: Taking taylor expansion of i in n 6.639 * [backup-simplify]: Simplify i into i 6.639 * [taylor]: Taking taylor expansion of n in n 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.639 * [backup-simplify]: Simplify (/ i 1) into i 6.639 * [taylor]: Taking taylor expansion of 1 in n 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [backup-simplify]: Simplify (+ i 0) into i 6.640 * [backup-simplify]: Simplify (log i) into (log i) 6.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 6.640 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (+ 0 1) into 1 6.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 6.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 6.647 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 6.648 * [backup-simplify]: Simplify (exp 0) into 1 6.648 * [taylor]: Taking taylor expansion of 1 in n 6.648 * [backup-simplify]: Simplify 1 into 1 6.648 * [taylor]: Taking taylor expansion of n in n 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify 1 into 1 6.648 * [taylor]: Taking taylor expansion of i in n 6.648 * [backup-simplify]: Simplify i into i 6.648 * [backup-simplify]: Simplify (- 1) into -1 6.648 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.648 * [backup-simplify]: Simplify (* 0 0) into 0 6.649 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 6.649 * [backup-simplify]: Simplify (- 0) into 0 6.649 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 6.650 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 6.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [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)) 6.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 6.653 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) 6.653 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 6.653 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 6.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) 6.654 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 6.654 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 6.654 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 6.654 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 6.654 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 6.654 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 6.654 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 6.654 * [taylor]: Taking taylor expansion of n in i 6.655 * [backup-simplify]: Simplify n into n 6.655 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 6.655 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 6.655 * [taylor]: Taking taylor expansion of (/ i n) in i 6.655 * [taylor]: Taking taylor expansion of i in i 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [taylor]: Taking taylor expansion of n in i 6.655 * [backup-simplify]: Simplify n into n 6.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.655 * [taylor]: Taking taylor expansion of 1 in i 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (+ 0 1) into 1 6.655 * [backup-simplify]: Simplify (log 1) into 0 6.655 * [backup-simplify]: Simplify (* n 0) into 0 6.655 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 6.656 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 6.656 * [backup-simplify]: Simplify (exp 0) into 1 6.656 * [taylor]: Taking taylor expansion of 1 in i 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of n in i 6.656 * [backup-simplify]: Simplify n into n 6.656 * [taylor]: Taking taylor expansion of i in i 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (- 1) into -1 6.657 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.657 * [backup-simplify]: Simplify (* 0 n) into 0 6.657 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 6.657 * [backup-simplify]: Simplify (- 0) into 0 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.658 * [backup-simplify]: Simplify (/ n 1) into n 6.658 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 6.658 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 6.658 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 6.658 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 6.658 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 6.658 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 6.658 * [taylor]: Taking taylor expansion of n in i 6.658 * [backup-simplify]: Simplify n into n 6.658 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 6.658 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 6.658 * [taylor]: Taking taylor expansion of (/ i n) in i 6.658 * [taylor]: Taking taylor expansion of i in i 6.658 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify 1 into 1 6.658 * [taylor]: Taking taylor expansion of n in i 6.658 * [backup-simplify]: Simplify n into n 6.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.658 * [taylor]: Taking taylor expansion of 1 in i 6.658 * [backup-simplify]: Simplify 1 into 1 6.659 * [backup-simplify]: Simplify (+ 0 1) into 1 6.659 * [backup-simplify]: Simplify (log 1) into 0 6.659 * [backup-simplify]: Simplify (* n 0) into 0 6.659 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 6.660 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 6.660 * [backup-simplify]: Simplify (exp 0) into 1 6.660 * [taylor]: Taking taylor expansion of 1 in i 6.660 * [backup-simplify]: Simplify 1 into 1 6.660 * [taylor]: Taking taylor expansion of n in i 6.660 * [backup-simplify]: Simplify n into n 6.660 * [taylor]: Taking taylor expansion of i in i 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (- 1) into -1 6.660 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.660 * [backup-simplify]: Simplify (* 0 n) into 0 6.661 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 6.661 * [backup-simplify]: Simplify (- 0) into 0 6.662 * [backup-simplify]: Simplify (+ 1 0) into 1 6.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.662 * [backup-simplify]: Simplify (/ n 1) into n 6.662 * [taylor]: Taking taylor expansion of n in n 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 6.664 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 6.664 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 6.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2) 6.666 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 6.666 * [taylor]: Taking taylor expansion of (- (* 1/2 n) 1/2) in n 6.666 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.666 * [taylor]: Taking taylor expansion of 1/2 in n 6.666 * [backup-simplify]: Simplify 1/2 into 1/2 6.666 * [taylor]: Taking taylor expansion of n in n 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [taylor]: Taking taylor expansion of 1/2 in n 6.666 * [backup-simplify]: Simplify 1/2 into 1/2 6.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.667 * [backup-simplify]: Simplify (- 0) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.669 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 6.669 * [backup-simplify]: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) 6.671 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 6.671 * [backup-simplify]: Simplify (- 0) into 0 6.671 * [backup-simplify]: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 6.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* (- 1/2 (* 1/2 (/ 1 n))) 0) (* (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) n)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 6.672 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 1) (+ (* n (/ 0 1)) (* (- (* 1/2 n) 1/2) (/ 0 1)))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) 6.673 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n 6.673 * [taylor]: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n 6.673 * [taylor]: Taking taylor expansion of (* 1/6 n) in n 6.673 * [taylor]: Taking taylor expansion of 1/6 in n 6.673 * [backup-simplify]: Simplify 1/6 into 1/6 6.673 * [taylor]: Taking taylor expansion of n in n 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 n)) in n 6.673 * [taylor]: Taking taylor expansion of 1/3 in n 6.673 * [backup-simplify]: Simplify 1/3 into 1/3 6.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.673 * [taylor]: Taking taylor expansion of n in n 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ 1 1) into 1 6.673 * [taylor]: Taking taylor expansion of 1/2 in n 6.673 * [backup-simplify]: Simplify 1/2 into 1/2 6.674 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0 6.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (- 0) into 0 6.677 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [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) 6.678 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in (i n) around 0 6.678 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n 6.678 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n 6.678 * [taylor]: Taking taylor expansion of i in n 6.678 * [backup-simplify]: Simplify i into i 6.678 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 6.678 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 6.678 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 6.678 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 6.678 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.678 * [taylor]: Taking taylor expansion of n in n 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.679 * [backup-simplify]: Simplify (/ 1 1) into 1 6.679 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 6.679 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 6.679 * [taylor]: Taking taylor expansion of (/ n i) in n 6.679 * [taylor]: Taking taylor expansion of n in n 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of i in n 6.679 * [backup-simplify]: Simplify i into i 6.679 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 6.679 * [taylor]: Taking taylor expansion of 1 in n 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [backup-simplify]: Simplify (+ 0 1) into 1 6.679 * [backup-simplify]: Simplify (log 1) into 0 6.680 * [backup-simplify]: Simplify (* 1 0) into 0 6.680 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 6.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 6.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 6.681 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 6.681 * [taylor]: Taking taylor expansion of 1 in n 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [taylor]: Taking taylor expansion of n in n 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (- 1) into -1 6.681 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 6.681 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 6.681 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 6.681 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 6.681 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 6.681 * [taylor]: Taking taylor expansion of i in i 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 6.682 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 6.682 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 6.682 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 6.682 * [taylor]: Taking taylor expansion of (/ 1 n) in i 6.682 * [taylor]: Taking taylor expansion of n in i 6.682 * [backup-simplify]: Simplify n into n 6.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.682 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 6.682 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 6.682 * [taylor]: Taking taylor expansion of (/ n i) in i 6.682 * [taylor]: Taking taylor expansion of n in i 6.682 * [backup-simplify]: Simplify n into n 6.682 * [taylor]: Taking taylor expansion of i in i 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ n 1) into n 6.682 * [taylor]: Taking taylor expansion of 1 in i 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (+ n 0) into n 6.682 * [backup-simplify]: Simplify (log n) into (log n) 6.682 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.682 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 6.682 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.682 * [taylor]: Taking taylor expansion of 1 in i 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [taylor]: Taking taylor expansion of n in i 6.682 * [backup-simplify]: Simplify n into n 6.683 * [backup-simplify]: Simplify (- 1) into -1 6.683 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.683 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 6.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 6.684 * [backup-simplify]: Simplify (+ 0 1) into 1 6.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 6.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.684 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.685 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 6.685 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 6.685 * [backup-simplify]: Simplify (- 0) into 0 6.685 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 6.685 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.685 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 6.685 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 6.685 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 6.685 * [taylor]: Taking taylor expansion of i in i 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 6.685 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 6.685 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 6.686 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 6.686 * [taylor]: Taking taylor expansion of (/ 1 n) in i 6.686 * [taylor]: Taking taylor expansion of n in i 6.686 * [backup-simplify]: Simplify n into n 6.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.686 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 6.686 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 6.686 * [taylor]: Taking taylor expansion of (/ n i) in i 6.686 * [taylor]: Taking taylor expansion of n in i 6.686 * [backup-simplify]: Simplify n into n 6.686 * [taylor]: Taking taylor expansion of i in i 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.686 * [backup-simplify]: Simplify (/ n 1) into n 6.686 * [taylor]: Taking taylor expansion of 1 in i 6.686 * [backup-simplify]: Simplify 1 into 1 6.686 * [backup-simplify]: Simplify (+ n 0) into n 6.686 * [backup-simplify]: Simplify (log n) into (log n) 6.686 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.686 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 6.686 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.686 * [taylor]: Taking taylor expansion of 1 in i 6.686 * [backup-simplify]: Simplify 1 into 1 6.686 * [taylor]: Taking taylor expansion of n in i 6.686 * [backup-simplify]: Simplify n into n 6.687 * [backup-simplify]: Simplify (- 1) into -1 6.687 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.687 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 6.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (+ 0 1) into 1 6.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 6.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.688 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.688 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 6.689 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 6.689 * [backup-simplify]: Simplify (- 0) into 0 6.689 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 6.689 * [backup-simplify]: Simplify (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 1 (- (exp (/ (- (log n) (log i)) n)) 1))) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.689 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 6.689 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n 6.689 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 6.689 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.689 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.689 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.689 * [taylor]: Taking taylor expansion of (log n) in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (log 1) into 0 6.690 * [taylor]: Taking taylor expansion of (log i) in n 6.690 * [taylor]: Taking taylor expansion of i in n 6.690 * [backup-simplify]: Simplify i into i 6.690 * [backup-simplify]: Simplify (log i) into (log i) 6.690 * [taylor]: Taking taylor expansion of n in n 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.690 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.690 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.690 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.690 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.690 * [taylor]: Taking taylor expansion of 1 in n 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [taylor]: Taking taylor expansion of n in n 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.691 * [backup-simplify]: Simplify (- 1) into -1 6.691 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.691 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.691 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 6.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 6.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.694 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.694 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) 6.694 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 6.694 * [backup-simplify]: Simplify (- 0) into 0 6.694 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 6.695 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 1 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 6.695 * [backup-simplify]: Simplify (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) 6.695 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 6.695 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.695 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.695 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.695 * [taylor]: Taking taylor expansion of (log n) in n 6.695 * [taylor]: Taking taylor expansion of n in n 6.695 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify 1 into 1 6.696 * [backup-simplify]: Simplify (log 1) into 0 6.696 * [taylor]: Taking taylor expansion of (log i) in n 6.696 * [taylor]: Taking taylor expansion of i in n 6.696 * [backup-simplify]: Simplify i into i 6.696 * [backup-simplify]: Simplify (log i) into (log i) 6.696 * [taylor]: Taking taylor expansion of n in n 6.696 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify 1 into 1 6.696 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.696 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.696 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.697 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.697 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.697 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.697 * [taylor]: Taking taylor expansion of n in n 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 1 into 1 6.697 * [backup-simplify]: Simplify (* 1 1) into 1 6.698 * [backup-simplify]: Simplify (* 1 1) into 1 6.698 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ 0 0) into 0 6.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 6.705 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 6.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.710 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.711 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) 6.711 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 6.712 * [backup-simplify]: Simplify (- 0) into 0 6.713 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 6.714 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 1 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) 6.715 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) 6.715 * [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 6.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 6.715 * [taylor]: Taking taylor expansion of 1/2 in n 6.715 * [backup-simplify]: Simplify 1/2 into 1/2 6.715 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 6.715 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.715 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.715 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.715 * [taylor]: Taking taylor expansion of (log n) in n 6.715 * [taylor]: Taking taylor expansion of n in n 6.715 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (log 1) into 0 6.716 * [taylor]: Taking taylor expansion of (log i) in n 6.716 * [taylor]: Taking taylor expansion of i in n 6.716 * [backup-simplify]: Simplify i into i 6.716 * [backup-simplify]: Simplify (log i) into (log i) 6.716 * [taylor]: Taking taylor expansion of n in n 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 1 into 1 6.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.717 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.717 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.717 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.717 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.717 * [taylor]: Taking taylor expansion of (pow n 5) in n 6.717 * [taylor]: Taking taylor expansion of n in n 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 1 into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 6.718 * [taylor]: Taking taylor expansion of 1/2 in n 6.718 * [backup-simplify]: Simplify 1/2 into 1/2 6.719 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 6.719 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.719 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.719 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.719 * [taylor]: Taking taylor expansion of (log n) in n 6.719 * [taylor]: Taking taylor expansion of n in n 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [backup-simplify]: Simplify (log 1) into 0 6.719 * [taylor]: Taking taylor expansion of (log i) in n 6.719 * [taylor]: Taking taylor expansion of i in n 6.719 * [backup-simplify]: Simplify i into i 6.719 * [backup-simplify]: Simplify (log i) into (log i) 6.719 * [taylor]: Taking taylor expansion of n in n 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.720 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.720 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.720 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.720 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.720 * [taylor]: Taking taylor expansion of (pow n 4) in n 6.720 * [taylor]: Taking taylor expansion of n in n 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (* 1 1) into 1 6.721 * [backup-simplify]: Simplify (* 1 1) into 1 6.721 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 6.752 * [backup-simplify]: Simplify (- 0) into 0 6.753 * [backup-simplify]: Simplify (+ 0 0) into 0 6.753 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify (- 0) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4)) 6.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.770 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.770 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (- (* 1/4 (/ 1 (pow n 5)))) 6.772 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 4) 24)) (* (/ (pow (/ 1 (pow n 2)) 2) 2) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow n 5)))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 6.772 * [backup-simplify]: Simplify (- 0) into 0 6.773 * [backup-simplify]: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 11/24 (/ 1 (pow n 6))) (* 1/24 (/ 1 (pow n 8)))) (+ (* 1/4 (/ 1 (pow n 5))) (* 1/4 (/ 1 (pow n 7)))))) 0) into (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) 6.775 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 11/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) (* 1/24 (/ (exp (/ (- (log n) (log i)) n)) (pow n 8)))) (+ (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/4 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))))) (+ (* 1 (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 2))) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))))) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) 6.777 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) 6.777 * [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 6.777 * [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 6.777 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 6.777 * [taylor]: Taking taylor expansion of 1/6 in n 6.777 * [backup-simplify]: Simplify 1/6 into 1/6 6.777 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 6.777 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.777 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.777 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.777 * [taylor]: Taking taylor expansion of (log n) in n 6.777 * [taylor]: Taking taylor expansion of n in n 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (log 1) into 0 6.778 * [taylor]: Taking taylor expansion of (log i) in n 6.778 * [taylor]: Taking taylor expansion of i in n 6.778 * [backup-simplify]: Simplify i into i 6.778 * [backup-simplify]: Simplify (log i) into (log i) 6.778 * [taylor]: Taking taylor expansion of n in n 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.779 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.779 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.779 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.779 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.779 * [taylor]: Taking taylor expansion of (pow n 7) in n 6.779 * [taylor]: Taking taylor expansion of n in n 6.779 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (* 1 1) into 1 6.780 * [backup-simplify]: Simplify (* 1 1) into 1 6.781 * [backup-simplify]: Simplify (* 1 1) into 1 6.781 * [backup-simplify]: Simplify (* 1 1) into 1 6.781 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.781 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 6.781 * [taylor]: Taking taylor expansion of 1/3 in n 6.781 * [backup-simplify]: Simplify 1/3 into 1/3 6.781 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 6.781 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.781 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.781 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.781 * [taylor]: Taking taylor expansion of (log n) in n 6.781 * [taylor]: Taking taylor expansion of n in n 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify 1 into 1 6.782 * [backup-simplify]: Simplify (log 1) into 0 6.782 * [taylor]: Taking taylor expansion of (log i) in n 6.782 * [taylor]: Taking taylor expansion of i in n 6.782 * [backup-simplify]: Simplify i into i 6.782 * [backup-simplify]: Simplify (log i) into (log i) 6.782 * [taylor]: Taking taylor expansion of n in n 6.782 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify 1 into 1 6.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.783 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.783 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.783 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.783 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.783 * [taylor]: Taking taylor expansion of (pow n 5) in n 6.783 * [taylor]: Taking taylor expansion of n in n 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 1 into 1 6.783 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 6.784 * [taylor]: Taking taylor expansion of 1/2 in n 6.784 * [backup-simplify]: Simplify 1/2 into 1/2 6.784 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 6.784 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 6.784 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.784 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.785 * [taylor]: Taking taylor expansion of (log n) in n 6.785 * [taylor]: Taking taylor expansion of n in n 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [backup-simplify]: Simplify (log 1) into 0 6.785 * [taylor]: Taking taylor expansion of (log i) in n 6.785 * [taylor]: Taking taylor expansion of i in n 6.785 * [backup-simplify]: Simplify i into i 6.785 * [backup-simplify]: Simplify (log i) into (log i) 6.785 * [taylor]: Taking taylor expansion of n in n 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.786 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.786 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.786 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.786 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 6.786 * [taylor]: Taking taylor expansion of (pow n 6) in n 6.786 * [taylor]: Taking taylor expansion of n in n 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (* 1 1) into 1 6.787 * [backup-simplify]: Simplify (* 1 1) into 1 6.787 * [backup-simplify]: Simplify (* 1 1) into 1 6.787 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 6.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.832 * [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 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 6.852 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [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) 6.882 * [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) 6.882 * [approximate]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in (i n) around 0 6.882 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n 6.882 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n 6.882 * [taylor]: Taking taylor expansion of i in n 6.882 * [backup-simplify]: Simplify i into i 6.882 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 6.882 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 6.882 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 6.883 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 6.883 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.883 * [taylor]: Taking taylor expansion of -1 in n 6.883 * [backup-simplify]: Simplify -1 into -1 6.883 * [taylor]: Taking taylor expansion of n in n 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (/ -1 1) into -1 6.883 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 6.883 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 6.883 * [taylor]: Taking taylor expansion of (/ n i) in n 6.883 * [taylor]: Taking taylor expansion of n in n 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.883 * [taylor]: Taking taylor expansion of i in n 6.883 * [backup-simplify]: Simplify i into i 6.883 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 6.883 * [taylor]: Taking taylor expansion of 1 in n 6.883 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (+ 0 1) into 1 6.884 * [backup-simplify]: Simplify (log 1) into 0 6.885 * [backup-simplify]: Simplify (* -1 0) into 0 6.885 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 6.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 6.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 6.887 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 6.887 * [taylor]: Taking taylor expansion of 1 in n 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [taylor]: Taking taylor expansion of n in n 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [backup-simplify]: Simplify (- 1) into -1 6.887 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) 6.888 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1)) 6.888 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1)) 6.888 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 6.888 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 6.888 * [taylor]: Taking taylor expansion of i in i 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 6.888 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 6.888 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 6.888 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 6.888 * [taylor]: Taking taylor expansion of (/ -1 n) in i 6.888 * [taylor]: Taking taylor expansion of -1 in i 6.888 * [backup-simplify]: Simplify -1 into -1 6.888 * [taylor]: Taking taylor expansion of n in i 6.888 * [backup-simplify]: Simplify n into n 6.888 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.888 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 6.888 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 6.888 * [taylor]: Taking taylor expansion of (/ n i) in i 6.888 * [taylor]: Taking taylor expansion of n in i 6.888 * [backup-simplify]: Simplify n into n 6.888 * [taylor]: Taking taylor expansion of i in i 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.889 * [backup-simplify]: Simplify (/ n 1) into n 6.889 * [taylor]: Taking taylor expansion of 1 in i 6.889 * [backup-simplify]: Simplify 1 into 1 6.889 * [backup-simplify]: Simplify (+ n 0) into n 6.889 * [backup-simplify]: Simplify (log n) into (log n) 6.889 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.889 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 6.890 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.890 * [taylor]: Taking taylor expansion of 1 in i 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [taylor]: Taking taylor expansion of n in i 6.890 * [backup-simplify]: Simplify n into n 6.890 * [backup-simplify]: Simplify (- 1) into -1 6.890 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.890 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (+ 0 1) into 1 6.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 6.893 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 6.893 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.893 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 6.894 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.894 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 6.895 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.895 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 6.895 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 6.895 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 6.895 * [taylor]: Taking taylor expansion of i in i 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 6.895 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 6.895 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 6.895 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 6.895 * [taylor]: Taking taylor expansion of (/ -1 n) in i 6.895 * [taylor]: Taking taylor expansion of -1 in i 6.895 * [backup-simplify]: Simplify -1 into -1 6.895 * [taylor]: Taking taylor expansion of n in i 6.896 * [backup-simplify]: Simplify n into n 6.896 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.896 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 6.896 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 6.896 * [taylor]: Taking taylor expansion of (/ n i) in i 6.896 * [taylor]: Taking taylor expansion of n in i 6.896 * [backup-simplify]: Simplify n into n 6.896 * [taylor]: Taking taylor expansion of i in i 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (/ n 1) into n 6.896 * [taylor]: Taking taylor expansion of 1 in i 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (+ n 0) into n 6.896 * [backup-simplify]: Simplify (log n) into (log n) 6.897 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.897 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 6.897 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.897 * [taylor]: Taking taylor expansion of 1 in i 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of n in i 6.897 * [backup-simplify]: Simplify n into n 6.897 * [backup-simplify]: Simplify (- 1) into -1 6.897 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.898 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 6.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 6.901 * [backup-simplify]: Simplify (+ 0 1) into 1 6.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 6.902 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 6.903 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.903 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 6.903 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 6.904 * [backup-simplify]: Simplify (- 0) into 0 6.904 * [backup-simplify]: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 6.904 * [backup-simplify]: Simplify (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 1 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.904 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 6.905 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n 6.905 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 6.905 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.905 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.905 * [taylor]: Taking taylor expansion of -1 in n 6.905 * [backup-simplify]: Simplify -1 into -1 6.905 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.905 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.905 * [taylor]: Taking taylor expansion of (log n) in n 6.905 * [taylor]: Taking taylor expansion of n in n 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (log 1) into 0 6.905 * [taylor]: Taking taylor expansion of (log i) in n 6.905 * [taylor]: Taking taylor expansion of i in n 6.905 * [backup-simplify]: Simplify i into i 6.905 * [backup-simplify]: Simplify (log i) into (log i) 6.905 * [taylor]: Taking taylor expansion of n in n 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.906 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.906 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.906 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.906 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.906 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.906 * [taylor]: Taking taylor expansion of 1 in n 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [taylor]: Taking taylor expansion of n in n 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (- 1) into -1 6.907 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.907 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.907 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 6.911 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.911 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.912 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) 6.912 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 6.912 * [backup-simplify]: Simplify (- 0) into 0 6.913 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) 6.914 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 1 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 6.914 * [backup-simplify]: Simplify (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) 6.914 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 6.914 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 6.914 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.914 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.914 * [taylor]: Taking taylor expansion of -1 in n 6.914 * [backup-simplify]: Simplify -1 into -1 6.914 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.914 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.914 * [taylor]: Taking taylor expansion of (log n) in n 6.914 * [taylor]: Taking taylor expansion of n in n 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [backup-simplify]: Simplify (log 1) into 0 6.915 * [taylor]: Taking taylor expansion of (log i) in n 6.915 * [taylor]: Taking taylor expansion of i in n 6.915 * [backup-simplify]: Simplify i into i 6.915 * [backup-simplify]: Simplify (log i) into (log i) 6.915 * [taylor]: Taking taylor expansion of n in n 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.916 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.916 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.916 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.916 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.916 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.916 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.916 * [taylor]: Taking taylor expansion of n in n 6.916 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.918 * [backup-simplify]: Simplify (* 1 1) into 1 6.918 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.926 * [backup-simplify]: Simplify (+ 0 0) into 0 6.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.932 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 6.932 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.933 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) 6.933 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 6.934 * [backup-simplify]: Simplify (- 0) into 0 6.934 * [backup-simplify]: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) 6.936 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 1 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) 6.938 * [backup-simplify]: Simplify (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) 6.938 * [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 6.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 6.938 * [taylor]: Taking taylor expansion of 1/2 in n 6.938 * [backup-simplify]: Simplify 1/2 into 1/2 6.938 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 6.938 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.938 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.938 * [taylor]: Taking taylor expansion of -1 in n 6.938 * [backup-simplify]: Simplify -1 into -1 6.938 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.938 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.938 * [taylor]: Taking taylor expansion of (log n) in n 6.938 * [taylor]: Taking taylor expansion of n in n 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (log 1) into 0 6.939 * [taylor]: Taking taylor expansion of (log i) in n 6.939 * [taylor]: Taking taylor expansion of i in n 6.939 * [backup-simplify]: Simplify i into i 6.939 * [backup-simplify]: Simplify (log i) into (log i) 6.939 * [taylor]: Taking taylor expansion of n in n 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.939 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.939 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.940 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.940 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.940 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.940 * [taylor]: Taking taylor expansion of (pow n 5) in n 6.940 * [taylor]: Taking taylor expansion of n in n 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 1 into 1 6.940 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 6.941 * [taylor]: Taking taylor expansion of 1/2 in n 6.941 * [backup-simplify]: Simplify 1/2 into 1/2 6.941 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 6.941 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.941 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.941 * [taylor]: Taking taylor expansion of -1 in n 6.941 * [backup-simplify]: Simplify -1 into -1 6.941 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.941 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.941 * [taylor]: Taking taylor expansion of (log n) in n 6.941 * [taylor]: Taking taylor expansion of n in n 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.942 * [backup-simplify]: Simplify (log 1) into 0 6.942 * [taylor]: Taking taylor expansion of (log i) in n 6.942 * [taylor]: Taking taylor expansion of i in n 6.942 * [backup-simplify]: Simplify i into i 6.942 * [backup-simplify]: Simplify (log i) into (log i) 6.942 * [taylor]: Taking taylor expansion of n in n 6.942 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify 1 into 1 6.942 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.943 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.943 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.943 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.943 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.943 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.943 * [taylor]: Taking taylor expansion of (pow n 4) in n 6.943 * [taylor]: Taking taylor expansion of n in n 6.943 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify 1 into 1 6.943 * [backup-simplify]: Simplify (* 1 1) into 1 6.944 * [backup-simplify]: Simplify (* 1 1) into 1 6.944 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 6.963 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow n 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow n 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow n 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow n 1)))) 24) into (/ -1/4 (pow n 4)) 6.973 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 6.974 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/4 (pow n 4))) (+ (* 0 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))))) into (* 1/4 (/ 1 (pow n 5))) 6.975 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 4) 24)) (* (/ (pow (- (/ 1 (pow n 2))) 2) 2) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow n 5))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 6.976 * [backup-simplify]: Simplify (- 0) into 0 6.977 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 11/24 (/ 1 (pow n 6))) (+ (* 1/4 (/ 1 (pow n 5))) (+ (* 1/4 (/ 1 (pow n 7))) (* 1/24 (/ 1 (pow n 8))))))) 0) into (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) 6.980 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/4 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 8))) (* 11/24 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 1 (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)))) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))))) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) 6.982 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) 6.982 * [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 6.982 * [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 6.983 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 6.983 * [taylor]: Taking taylor expansion of 1/6 in n 6.983 * [backup-simplify]: Simplify 1/6 into 1/6 6.983 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 6.983 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.983 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.983 * [taylor]: Taking taylor expansion of -1 in n 6.983 * [backup-simplify]: Simplify -1 into -1 6.983 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.983 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.983 * [taylor]: Taking taylor expansion of (log n) in n 6.983 * [taylor]: Taking taylor expansion of n in n 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 1 into 1 6.983 * [backup-simplify]: Simplify (log 1) into 0 6.983 * [taylor]: Taking taylor expansion of (log i) in n 6.983 * [taylor]: Taking taylor expansion of i in n 6.984 * [backup-simplify]: Simplify i into i 6.984 * [backup-simplify]: Simplify (log i) into (log i) 6.984 * [taylor]: Taking taylor expansion of n in n 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.984 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.984 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.984 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.984 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.985 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.985 * [taylor]: Taking taylor expansion of (pow n 7) in n 6.985 * [taylor]: Taking taylor expansion of n in n 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.986 * [backup-simplify]: Simplify (* 1 1) into 1 6.986 * [backup-simplify]: Simplify (* 1 1) into 1 6.986 * [backup-simplify]: Simplify (* 1 1) into 1 6.987 * [backup-simplify]: Simplify (* 1 1) into 1 6.987 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.987 * [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 6.987 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 6.987 * [taylor]: Taking taylor expansion of 1/3 in n 6.987 * [backup-simplify]: Simplify 1/3 into 1/3 6.987 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 6.987 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.987 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.987 * [taylor]: Taking taylor expansion of -1 in n 6.987 * [backup-simplify]: Simplify -1 into -1 6.987 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.987 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.987 * [taylor]: Taking taylor expansion of (log n) in n 6.987 * [taylor]: Taking taylor expansion of n in n 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (log 1) into 0 6.988 * [taylor]: Taking taylor expansion of (log i) in n 6.988 * [taylor]: Taking taylor expansion of i in n 6.988 * [backup-simplify]: Simplify i into i 6.988 * [backup-simplify]: Simplify (log i) into (log i) 6.988 * [taylor]: Taking taylor expansion of n in n 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.988 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.988 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.989 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.989 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.989 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.989 * [taylor]: Taking taylor expansion of (pow n 5) in n 6.989 * [taylor]: Taking taylor expansion of n in n 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 6.990 * [taylor]: Taking taylor expansion of 1/2 in n 6.990 * [backup-simplify]: Simplify 1/2 into 1/2 6.990 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 6.990 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 6.990 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 6.990 * [taylor]: Taking taylor expansion of -1 in n 6.990 * [backup-simplify]: Simplify -1 into -1 6.990 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 6.990 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 6.990 * [taylor]: Taking taylor expansion of (log n) in n 6.991 * [taylor]: Taking taylor expansion of n in n 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (log 1) into 0 6.991 * [taylor]: Taking taylor expansion of (log i) in n 6.991 * [taylor]: Taking taylor expansion of i in n 6.991 * [backup-simplify]: Simplify i into i 6.991 * [backup-simplify]: Simplify (log i) into (log i) 6.991 * [taylor]: Taking taylor expansion of n in n 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.992 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 6.992 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 6.992 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 6.992 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 6.992 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.992 * [taylor]: Taking taylor expansion of (pow n 6) in n 6.992 * [taylor]: Taking taylor expansion of n in n 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 6.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.029 * [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 7.032 * [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 7.036 * [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 7.039 * [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 7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.058 * [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 7.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.083 * [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 7.086 * [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 7.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify (- 0) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [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) 7.090 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 7.090 * [backup-simplify]: Simplify (pow (+ 1 (/ i n)) n) into (pow (+ (/ i n) 1) n) 7.090 * [approximate]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in (i n) around 0 7.090 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 7.090 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 7.090 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 7.090 * [taylor]: Taking taylor expansion of n in n 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 7.090 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 7.090 * [taylor]: Taking taylor expansion of (/ i n) in n 7.090 * [taylor]: Taking taylor expansion of i in n 7.090 * [backup-simplify]: Simplify i into i 7.090 * [taylor]: Taking taylor expansion of n in n 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (/ i 1) into i 7.090 * [taylor]: Taking taylor expansion of 1 in n 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [backup-simplify]: Simplify (+ i 0) into i 7.091 * [backup-simplify]: Simplify (log i) into (log i) 7.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.091 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 7.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 7.092 * [backup-simplify]: Simplify (+ 0 1) into 1 7.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 7.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.094 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 7.094 * [backup-simplify]: Simplify (exp 0) into 1 7.094 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.094 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.094 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.094 * [taylor]: Taking taylor expansion of n in i 7.094 * [backup-simplify]: Simplify n into n 7.094 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.094 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.094 * [taylor]: Taking taylor expansion of (/ i n) in i 7.094 * [taylor]: Taking taylor expansion of i in i 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 1 into 1 7.094 * [taylor]: Taking taylor expansion of n in i 7.094 * [backup-simplify]: Simplify n into n 7.094 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.094 * [taylor]: Taking taylor expansion of 1 in i 7.094 * [backup-simplify]: Simplify 1 into 1 7.095 * [backup-simplify]: Simplify (+ 0 1) into 1 7.095 * [backup-simplify]: Simplify (log 1) into 0 7.095 * [backup-simplify]: Simplify (* n 0) into 0 7.095 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.096 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.096 * [backup-simplify]: Simplify (exp 0) into 1 7.096 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.096 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.096 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.096 * [taylor]: Taking taylor expansion of n in i 7.096 * [backup-simplify]: Simplify n into n 7.096 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.096 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.096 * [taylor]: Taking taylor expansion of (/ i n) in i 7.096 * [taylor]: Taking taylor expansion of i in i 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [taylor]: Taking taylor expansion of n in i 7.096 * [backup-simplify]: Simplify n into n 7.096 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.097 * [taylor]: Taking taylor expansion of 1 in i 7.097 * [backup-simplify]: Simplify 1 into 1 7.097 * [backup-simplify]: Simplify (+ 0 1) into 1 7.097 * [backup-simplify]: Simplify (log 1) into 0 7.097 * [backup-simplify]: Simplify (* n 0) into 0 7.097 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.098 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.098 * [backup-simplify]: Simplify (exp 0) into 1 7.099 * [taylor]: Taking taylor expansion of 1 in n 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.100 * [taylor]: Taking taylor expansion of 1 in n 7.100 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify 1 into 1 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 7.100 * [backup-simplify]: Simplify (+ 0 0) into 0 7.102 * [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)) 7.103 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 7.104 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 7.104 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n 7.104 * [taylor]: Taking taylor expansion of 1/2 in n 7.104 * [backup-simplify]: Simplify 1/2 into 1/2 7.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.104 * [taylor]: Taking taylor expansion of 1/2 in n 7.104 * [backup-simplify]: Simplify 1/2 into 1/2 7.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.104 * [taylor]: Taking taylor expansion of n in n 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [backup-simplify]: Simplify (/ 1 1) into 1 7.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.106 * [backup-simplify]: Simplify (- 0) into 0 7.107 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.107 * [backup-simplify]: Simplify 1/2 into 1/2 7.107 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1)) 7.107 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) into (pow (+ (/ n i) 1) (/ 1 n)) 7.107 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in (i n) around 0 7.107 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 7.107 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 7.107 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 7.107 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.107 * [taylor]: Taking taylor expansion of n in n 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.108 * [backup-simplify]: Simplify (/ 1 1) into 1 7.108 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.108 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.108 * [taylor]: Taking taylor expansion of (/ n i) in n 7.108 * [taylor]: Taking taylor expansion of n in n 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 1 into 1 7.108 * [taylor]: Taking taylor expansion of i in n 7.108 * [backup-simplify]: Simplify i into i 7.108 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.108 * [taylor]: Taking taylor expansion of 1 in n 7.108 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (+ 0 1) into 1 7.109 * [backup-simplify]: Simplify (log 1) into 0 7.109 * [backup-simplify]: Simplify (* 1 0) into 0 7.110 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 7.111 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 7.111 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.111 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.111 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.112 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.112 * [taylor]: Taking taylor expansion of n in i 7.112 * [backup-simplify]: Simplify n into n 7.112 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.112 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.112 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.112 * [taylor]: Taking taylor expansion of (/ n i) in i 7.112 * [taylor]: Taking taylor expansion of n in i 7.112 * [backup-simplify]: Simplify n into n 7.112 * [taylor]: Taking taylor expansion of i in i 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ n 1) into n 7.112 * [taylor]: Taking taylor expansion of 1 in i 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (+ n 0) into n 7.112 * [backup-simplify]: Simplify (log n) into (log n) 7.112 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.113 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.113 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.113 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.113 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.113 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.113 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.113 * [taylor]: Taking taylor expansion of n in i 7.113 * [backup-simplify]: Simplify n into n 7.113 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.113 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.113 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.113 * [taylor]: Taking taylor expansion of (/ n i) in i 7.113 * [taylor]: Taking taylor expansion of n in i 7.113 * [backup-simplify]: Simplify n into n 7.113 * [taylor]: Taking taylor expansion of i in i 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (/ n 1) into n 7.113 * [taylor]: Taking taylor expansion of 1 in i 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (+ n 0) into n 7.113 * [backup-simplify]: Simplify (log n) into (log n) 7.114 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.114 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.114 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.114 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.114 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.114 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.114 * [taylor]: Taking taylor expansion of (log n) in n 7.114 * [taylor]: Taking taylor expansion of n in n 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (log 1) into 0 7.115 * [taylor]: Taking taylor expansion of (log i) in n 7.115 * [taylor]: Taking taylor expansion of i in n 7.115 * [backup-simplify]: Simplify i into i 7.115 * [backup-simplify]: Simplify (log i) into (log i) 7.115 * [taylor]: Taking taylor expansion of n in n 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.115 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.115 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.115 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.116 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.116 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ 0 1) into 1 7.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.118 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.118 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.119 * [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)) 7.119 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n 7.119 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.119 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.119 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.119 * [taylor]: Taking taylor expansion of (log n) in n 7.119 * [taylor]: Taking taylor expansion of n in n 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (log 1) into 0 7.119 * [taylor]: Taking taylor expansion of (log i) in n 7.119 * [taylor]: Taking taylor expansion of i in n 7.119 * [backup-simplify]: Simplify i into i 7.120 * [backup-simplify]: Simplify (log i) into (log i) 7.120 * [taylor]: Taking taylor expansion of n in n 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.120 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.120 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.120 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.120 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.120 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.120 * [taylor]: Taking taylor expansion of n in n 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.127 * [backup-simplify]: Simplify (+ 0 0) into 0 7.128 * [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)) 7.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.129 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.129 * [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)))) 7.130 * [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))) 7.130 * [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 7.130 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n 7.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 7.130 * [taylor]: Taking taylor expansion of 1/2 in n 7.130 * [backup-simplify]: Simplify 1/2 into 1/2 7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.130 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.130 * [taylor]: Taking taylor expansion of n in n 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (* 1 1) into 1 7.131 * [backup-simplify]: Simplify (* 1 1) into 1 7.131 * [backup-simplify]: Simplify (/ 1 1) into 1 7.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 7.131 * [taylor]: Taking taylor expansion of 1/2 in n 7.131 * [backup-simplify]: Simplify 1/2 into 1/2 7.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.131 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.131 * [taylor]: Taking taylor expansion of n in n 7.131 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.133 * [backup-simplify]: Simplify (/ 1 1) into 1 7.133 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.133 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.133 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.133 * [taylor]: Taking taylor expansion of (log n) in n 7.133 * [taylor]: Taking taylor expansion of n in n 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [backup-simplify]: Simplify (log 1) into 0 7.133 * [taylor]: Taking taylor expansion of (log i) in n 7.133 * [taylor]: Taking taylor expansion of i in n 7.134 * [backup-simplify]: Simplify i into i 7.134 * [backup-simplify]: Simplify (log i) into (log i) 7.134 * [taylor]: Taking taylor expansion of n in n 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.134 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.134 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.134 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.134 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.135 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.139 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.139 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.140 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- 0) into 0 7.146 * [backup-simplify]: Simplify (+ 0 0) into 0 7.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.151 * [backup-simplify]: Simplify (- 0) into 0 7.151 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (- 0) into 0 7.158 * [backup-simplify]: Simplify (+ 0 0) into 0 7.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.159 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.162 * [backup-simplify]: Simplify (+ 0 0) into 0 7.164 * [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)) 7.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.164 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.164 * [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))) 7.165 * [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))))) 7.165 * [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 7.165 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.165 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.165 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.165 * [taylor]: Taking taylor expansion of (log n) in n 7.165 * [taylor]: Taking taylor expansion of n in n 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (log 1) into 0 7.165 * [taylor]: Taking taylor expansion of (log i) in n 7.165 * [taylor]: Taking taylor expansion of i in n 7.165 * [backup-simplify]: Simplify i into i 7.165 * [backup-simplify]: Simplify (log i) into (log i) 7.165 * [taylor]: Taking taylor expansion of n in n 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.166 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.166 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.166 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.166 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.166 * [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 7.166 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n 7.166 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 7.166 * [taylor]: Taking taylor expansion of 1/6 in n 7.166 * [backup-simplify]: Simplify 1/6 into 1/6 7.166 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 7.166 * [taylor]: Taking taylor expansion of (pow n 6) in n 7.166 * [taylor]: Taking taylor expansion of n in n 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (* 1 1) into 1 7.167 * [backup-simplify]: Simplify (* 1 1) into 1 7.167 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 7.168 * [taylor]: Taking taylor expansion of 1/3 in n 7.168 * [backup-simplify]: Simplify 1/3 into 1/3 7.168 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.168 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.168 * [taylor]: Taking taylor expansion of n in n 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (* 1 1) into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 7.168 * [taylor]: Taking taylor expansion of 1/2 in n 7.168 * [backup-simplify]: Simplify 1/2 into 1/2 7.168 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 7.168 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.168 * [taylor]: Taking taylor expansion of n in n 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (* 1 1) into 1 7.169 * [backup-simplify]: Simplify (* 1 1) into 1 7.169 * [backup-simplify]: Simplify (* 1 1) into 1 7.169 * [backup-simplify]: Simplify (/ 1 1) into 1 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.197 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.211 * [backup-simplify]: Simplify (+ 0 0) into 0 7.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.235 * [backup-simplify]: Simplify (- 0) into 0 7.235 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.240 * [backup-simplify]: Simplify (- 0) into 0 7.240 * [backup-simplify]: Simplify (+ 0 0) into 0 7.241 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (- 0) into 0 7.245 * [backup-simplify]: Simplify (+ 0 0) into 0 7.246 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.247 * [backup-simplify]: Simplify (+ 0 0) into 0 7.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.249 * [backup-simplify]: Simplify (- 0) into 0 7.249 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 7.250 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.251 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.252 * [backup-simplify]: Simplify (- 0) into 0 7.252 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.253 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.254 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.254 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.254 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.255 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 7.255 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.256 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.258 * [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 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 7.258 * [backup-simplify]: Simplify (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) into (pow (+ (/ n i) 1) (/ -1 n)) 7.258 * [approximate]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in (i n) around 0 7.258 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 7.258 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 7.258 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 7.258 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.258 * [taylor]: Taking taylor expansion of -1 in n 7.258 * [backup-simplify]: Simplify -1 into -1 7.258 * [taylor]: Taking taylor expansion of n in n 7.258 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [backup-simplify]: Simplify (/ -1 1) into -1 7.259 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.259 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.259 * [taylor]: Taking taylor expansion of (/ n i) in n 7.259 * [taylor]: Taking taylor expansion of n in n 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of i in n 7.259 * [backup-simplify]: Simplify i into i 7.259 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.259 * [taylor]: Taking taylor expansion of 1 in n 7.259 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (+ 0 1) into 1 7.260 * [backup-simplify]: Simplify (log 1) into 0 7.261 * [backup-simplify]: Simplify (* -1 0) into 0 7.261 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.263 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 7.263 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 7.263 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 7.263 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 7.263 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 7.263 * [taylor]: Taking taylor expansion of (/ -1 n) in i 7.263 * [taylor]: Taking taylor expansion of -1 in i 7.263 * [backup-simplify]: Simplify -1 into -1 7.263 * [taylor]: Taking taylor expansion of n in i 7.263 * [backup-simplify]: Simplify n into n 7.263 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.263 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.263 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.263 * [taylor]: Taking taylor expansion of (/ n i) in i 7.263 * [taylor]: Taking taylor expansion of n in i 7.263 * [backup-simplify]: Simplify n into n 7.263 * [taylor]: Taking taylor expansion of i in i 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (/ n 1) into n 7.263 * [taylor]: Taking taylor expansion of 1 in i 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (+ n 0) into n 7.263 * [backup-simplify]: Simplify (log n) into (log n) 7.264 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.264 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.265 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.265 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 7.265 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 7.265 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 7.265 * [taylor]: Taking taylor expansion of (/ -1 n) in i 7.265 * [taylor]: Taking taylor expansion of -1 in i 7.265 * [backup-simplify]: Simplify -1 into -1 7.265 * [taylor]: Taking taylor expansion of n in i 7.265 * [backup-simplify]: Simplify n into n 7.265 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.265 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.265 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.265 * [taylor]: Taking taylor expansion of (/ n i) in i 7.265 * [taylor]: Taking taylor expansion of n in i 7.265 * [backup-simplify]: Simplify n into n 7.265 * [taylor]: Taking taylor expansion of i in i 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (/ n 1) into n 7.265 * [taylor]: Taking taylor expansion of 1 in i 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (+ n 0) into n 7.265 * [backup-simplify]: Simplify (log n) into (log n) 7.266 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.266 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.266 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.266 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.266 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.266 * [taylor]: Taking taylor expansion of -1 in n 7.266 * [backup-simplify]: Simplify -1 into -1 7.266 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.266 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.266 * [taylor]: Taking taylor expansion of (log n) in n 7.266 * [taylor]: Taking taylor expansion of n in n 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (log 1) into 0 7.267 * [taylor]: Taking taylor expansion of (log i) in n 7.267 * [taylor]: Taking taylor expansion of i in n 7.267 * [backup-simplify]: Simplify i into i 7.267 * [backup-simplify]: Simplify (log i) into (log i) 7.267 * [taylor]: Taking taylor expansion of n in n 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.268 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.268 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.268 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.268 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.268 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.268 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ 0 1) into 1 7.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.270 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 7.271 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.271 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 7.271 * [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))) 7.272 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n 7.272 * [taylor]: Taking taylor expansion of -1 in n 7.272 * [backup-simplify]: Simplify -1 into -1 7.272 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n 7.272 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.272 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.272 * [taylor]: Taking taylor expansion of -1 in n 7.272 * [backup-simplify]: Simplify -1 into -1 7.272 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.272 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.272 * [taylor]: Taking taylor expansion of (log n) in n 7.272 * [taylor]: Taking taylor expansion of n in n 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (log 1) into 0 7.272 * [taylor]: Taking taylor expansion of (log i) in n 7.272 * [taylor]: Taking taylor expansion of i in n 7.272 * [backup-simplify]: Simplify i into i 7.272 * [backup-simplify]: Simplify (log i) into (log i) 7.272 * [taylor]: Taking taylor expansion of n in n 7.272 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.273 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.273 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.273 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.273 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.273 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.273 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.273 * [taylor]: Taking taylor expansion of n in n 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.274 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.282 * [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)) 7.283 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.283 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.283 * [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))) 7.284 * [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))))) 7.284 * [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 7.284 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.284 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.284 * [taylor]: Taking taylor expansion of -1 in n 7.284 * [backup-simplify]: Simplify -1 into -1 7.284 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.284 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.284 * [taylor]: Taking taylor expansion of (log n) in n 7.284 * [taylor]: Taking taylor expansion of n in n 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (log 1) into 0 7.285 * [taylor]: Taking taylor expansion of (log i) in n 7.285 * [taylor]: Taking taylor expansion of i in n 7.285 * [backup-simplify]: Simplify i into i 7.285 * [backup-simplify]: Simplify (log i) into (log i) 7.285 * [taylor]: Taking taylor expansion of n in n 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.285 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.285 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.286 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.286 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.286 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n 7.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 3))) in n 7.286 * [taylor]: Taking taylor expansion of 1/2 in n 7.286 * [backup-simplify]: Simplify 1/2 into 1/2 7.286 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.286 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.286 * [taylor]: Taking taylor expansion of n in n 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (* 1 1) into 1 7.287 * [backup-simplify]: Simplify (* 1 1) into 1 7.287 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) in n 7.287 * [taylor]: Taking taylor expansion of 1/2 in n 7.287 * [backup-simplify]: Simplify 1/2 into 1/2 7.287 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.287 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.287 * [taylor]: Taking taylor expansion of n in n 7.287 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (* 1 1) into 1 7.288 * [backup-simplify]: Simplify (* 1 1) into 1 7.288 * [backup-simplify]: Simplify (/ 1 1) into 1 7.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.306 * [backup-simplify]: Simplify (+ 0 0) into 0 7.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.307 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.308 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.309 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.309 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.310 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (+ 0 0) into 0 7.315 * [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)) 7.316 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.316 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.316 * [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)))) 7.316 * [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))))))) 7.316 * [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 7.317 * [taylor]: Taking taylor expansion of -1 in n 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [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 7.317 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.317 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.317 * [taylor]: Taking taylor expansion of -1 in n 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.317 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.317 * [taylor]: Taking taylor expansion of (log n) in n 7.317 * [taylor]: Taking taylor expansion of n in n 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (log 1) into 0 7.317 * [taylor]: Taking taylor expansion of (log i) in n 7.317 * [taylor]: Taking taylor expansion of i in n 7.317 * [backup-simplify]: Simplify i into i 7.317 * [backup-simplify]: Simplify (log i) into (log i) 7.317 * [taylor]: Taking taylor expansion of n in n 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.317 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.317 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.317 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.318 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.318 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.318 * [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 7.318 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) in n 7.318 * [taylor]: Taking taylor expansion of 1/6 in n 7.318 * [backup-simplify]: Simplify 1/6 into 1/6 7.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 6)) in n 7.318 * [taylor]: Taking taylor expansion of (pow n 6) in n 7.318 * [taylor]: Taking taylor expansion of n in n 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (* 1 1) into 1 7.318 * [backup-simplify]: Simplify (* 1 1) into 1 7.319 * [backup-simplify]: Simplify (* 1 1) into 1 7.319 * [backup-simplify]: Simplify (/ 1 1) into 1 7.319 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n 7.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) in n 7.319 * [taylor]: Taking taylor expansion of 1/2 in n 7.319 * [backup-simplify]: Simplify 1/2 into 1/2 7.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 7.319 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.319 * [taylor]: Taking taylor expansion of n in n 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (* 1 1) into 1 7.319 * [backup-simplify]: Simplify (* 1 1) into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.320 * [backup-simplify]: Simplify (/ 1 1) into 1 7.320 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) in n 7.320 * [taylor]: Taking taylor expansion of 1/3 in n 7.320 * [backup-simplify]: Simplify 1/3 into 1/3 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 7.320 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.320 * [taylor]: Taking taylor expansion of n in n 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.321 * [backup-simplify]: Simplify (/ 1 1) into 1 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.347 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.382 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.385 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.390 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.390 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.390 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.391 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0 7.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.391 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.392 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.392 * [backup-simplify]: Simplify (* 1/6 1) into 1/6 7.392 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.393 * [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 7.394 * [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 7.395 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0 7.396 * [backup-simplify]: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0 7.396 * [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)))) 7.397 * [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)))) 7.397 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n)))) 7.398 * [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 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 7.398 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 7.398 * [backup-simplify]: Simplify (- (pow (+ 1 (/ i n)) n) 1) into (- (pow (+ (/ i n) 1) n) 1) 7.398 * [approximate]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in (i n) around 0 7.398 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 7.398 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 7.398 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 7.398 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 7.398 * [taylor]: Taking taylor expansion of n in n 7.398 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 7.399 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 7.399 * [taylor]: Taking taylor expansion of (/ i n) in n 7.399 * [taylor]: Taking taylor expansion of i in n 7.399 * [backup-simplify]: Simplify i into i 7.399 * [taylor]: Taking taylor expansion of n in n 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (/ i 1) into i 7.399 * [taylor]: Taking taylor expansion of 1 in n 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (+ i 0) into i 7.399 * [backup-simplify]: Simplify (log i) into (log i) 7.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.399 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 7.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 7.400 * [backup-simplify]: Simplify (+ 0 1) into 1 7.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 7.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.401 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 7.401 * [backup-simplify]: Simplify (exp 0) into 1 7.401 * [taylor]: Taking taylor expansion of 1 in n 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 7.401 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.401 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.401 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.401 * [taylor]: Taking taylor expansion of n in i 7.401 * [backup-simplify]: Simplify n into n 7.401 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.401 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.401 * [taylor]: Taking taylor expansion of (/ i n) in i 7.401 * [taylor]: Taking taylor expansion of i in i 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of n in i 7.401 * [backup-simplify]: Simplify n into n 7.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.401 * [taylor]: Taking taylor expansion of 1 in i 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (+ 0 1) into 1 7.402 * [backup-simplify]: Simplify (log 1) into 0 7.402 * [backup-simplify]: Simplify (* n 0) into 0 7.402 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.402 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.402 * [backup-simplify]: Simplify (exp 0) into 1 7.402 * [taylor]: Taking taylor expansion of 1 in i 7.402 * [backup-simplify]: Simplify 1 into 1 7.402 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 7.402 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.402 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.402 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.403 * [taylor]: Taking taylor expansion of n in i 7.403 * [backup-simplify]: Simplify n into n 7.403 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.403 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.403 * [taylor]: Taking taylor expansion of (/ i n) in i 7.403 * [taylor]: Taking taylor expansion of i in i 7.403 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [taylor]: Taking taylor expansion of n in i 7.403 * [backup-simplify]: Simplify n into n 7.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.403 * [taylor]: Taking taylor expansion of 1 in i 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (+ 0 1) into 1 7.403 * [backup-simplify]: Simplify (log 1) into 0 7.403 * [backup-simplify]: Simplify (* n 0) into 0 7.403 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.406 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.406 * [backup-simplify]: Simplify (exp 0) into 1 7.406 * [taylor]: Taking taylor expansion of 1 in i 7.406 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (- 1) into -1 7.408 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.408 * [taylor]: Taking taylor expansion of 0 in n 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.409 * [backup-simplify]: Simplify (- 0) into 0 7.409 * [backup-simplify]: Simplify (+ 1 0) into 1 7.409 * [taylor]: Taking taylor expansion of 1 in n 7.410 * [backup-simplify]: Simplify 1 into 1 7.410 * [backup-simplify]: Simplify 1 into 1 7.410 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [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)) 7.412 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 7.413 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 7.414 * [backup-simplify]: Simplify (- 0) into 0 7.414 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 7.414 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 n))) in n 7.414 * [taylor]: Taking taylor expansion of 1/2 in n 7.414 * [backup-simplify]: Simplify 1/2 into 1/2 7.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.414 * [taylor]: Taking taylor expansion of 1/2 in n 7.414 * [backup-simplify]: Simplify 1/2 into 1/2 7.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.414 * [taylor]: Taking taylor expansion of n in n 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [backup-simplify]: Simplify (/ 1 1) into 1 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.416 * [backup-simplify]: Simplify (- 0) into 0 7.417 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.417 * [backup-simplify]: Simplify 1/2 into 1/2 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.417 * [backup-simplify]: Simplify (+ 0 0) into 0 7.420 * [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)) 7.421 * [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))) 7.422 * [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))) 7.423 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [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))) 7.423 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n 7.423 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n 7.423 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) in n 7.423 * [taylor]: Taking taylor expansion of 1/3 in n 7.423 * [backup-simplify]: Simplify 1/3 into 1/3 7.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.423 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.423 * [taylor]: Taking taylor expansion of n in n 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (* 1 1) into 1 7.424 * [backup-simplify]: Simplify (/ 1 1) into 1 7.424 * [taylor]: Taking taylor expansion of 1/6 in n 7.424 * [backup-simplify]: Simplify 1/6 into 1/6 7.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.424 * [taylor]: Taking taylor expansion of 1/2 in n 7.424 * [backup-simplify]: Simplify 1/2 into 1/2 7.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.424 * [taylor]: Taking taylor expansion of n in n 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (/ 1 1) into 1 7.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.429 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.431 * [backup-simplify]: Simplify (- 0) into 0 7.431 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 7.431 * [backup-simplify]: Simplify 1/6 into 1/6 7.432 * [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)))) 7.432 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) into (- (pow (+ (/ n i) 1) (/ 1 n)) 1) 7.432 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in (i n) around 0 7.432 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 7.432 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 7.432 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 7.432 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 7.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.432 * [taylor]: Taking taylor expansion of n in n 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.433 * [backup-simplify]: Simplify (/ 1 1) into 1 7.433 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.433 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.433 * [taylor]: Taking taylor expansion of (/ n i) in n 7.433 * [taylor]: Taking taylor expansion of n in n 7.433 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify 1 into 1 7.433 * [taylor]: Taking taylor expansion of i in n 7.433 * [backup-simplify]: Simplify i into i 7.433 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.433 * [taylor]: Taking taylor expansion of 1 in n 7.433 * [backup-simplify]: Simplify 1 into 1 7.433 * [backup-simplify]: Simplify (+ 0 1) into 1 7.434 * [backup-simplify]: Simplify (log 1) into 0 7.434 * [backup-simplify]: Simplify (* 1 0) into 0 7.434 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 7.436 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 7.436 * [taylor]: Taking taylor expansion of 1 in n 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 7.436 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.436 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.436 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.436 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.436 * [taylor]: Taking taylor expansion of n in i 7.436 * [backup-simplify]: Simplify n into n 7.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.436 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.436 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.436 * [taylor]: Taking taylor expansion of (/ n i) in i 7.436 * [taylor]: Taking taylor expansion of n in i 7.436 * [backup-simplify]: Simplify n into n 7.436 * [taylor]: Taking taylor expansion of i in i 7.436 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [backup-simplify]: Simplify (/ n 1) into n 7.436 * [taylor]: Taking taylor expansion of 1 in i 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [backup-simplify]: Simplify (+ n 0) into n 7.436 * [backup-simplify]: Simplify (log n) into (log n) 7.437 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.437 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.437 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.437 * [taylor]: Taking taylor expansion of 1 in i 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 7.437 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.437 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.437 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.437 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.437 * [taylor]: Taking taylor expansion of n in i 7.437 * [backup-simplify]: Simplify n into n 7.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.437 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.437 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.437 * [taylor]: Taking taylor expansion of (/ n i) in i 7.437 * [taylor]: Taking taylor expansion of n in i 7.437 * [backup-simplify]: Simplify n into n 7.437 * [taylor]: Taking taylor expansion of i in i 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (/ n 1) into n 7.437 * [taylor]: Taking taylor expansion of 1 in i 7.437 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (+ n 0) into n 7.437 * [backup-simplify]: Simplify (log n) into (log n) 7.437 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.438 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.438 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.438 * [taylor]: Taking taylor expansion of 1 in i 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (- 1) into -1 7.438 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.438 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 7.438 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.438 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.438 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.438 * [taylor]: Taking taylor expansion of (log n) in n 7.438 * [taylor]: Taking taylor expansion of n in n 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.438 * [backup-simplify]: Simplify (log 1) into 0 7.438 * [taylor]: Taking taylor expansion of (log i) in n 7.438 * [taylor]: Taking taylor expansion of i in n 7.438 * [backup-simplify]: Simplify i into i 7.439 * [backup-simplify]: Simplify (log i) into (log i) 7.439 * [taylor]: Taking taylor expansion of n in n 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 1 into 1 7.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.439 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.439 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.439 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.439 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.439 * [taylor]: Taking taylor expansion of 1 in n 7.439 * [backup-simplify]: Simplify 1 into 1 7.439 * [backup-simplify]: Simplify (- 1) into -1 7.439 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.440 * [backup-simplify]: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (+ 0 1) into 1 7.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.441 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.441 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.441 * [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)) 7.442 * [backup-simplify]: Simplify (- 0) into 0 7.442 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 7.442 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n 7.442 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.442 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.442 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.442 * [taylor]: Taking taylor expansion of (log n) in n 7.442 * [taylor]: Taking taylor expansion of n in n 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [backup-simplify]: Simplify (log 1) into 0 7.442 * [taylor]: Taking taylor expansion of (log i) in n 7.442 * [taylor]: Taking taylor expansion of i in n 7.442 * [backup-simplify]: Simplify i into i 7.442 * [backup-simplify]: Simplify (log i) into (log i) 7.442 * [taylor]: Taking taylor expansion of n in n 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.443 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.443 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.443 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.443 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.443 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.443 * [taylor]: Taking taylor expansion of n in n 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (* 1 1) into 1 7.443 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify (- 0) into 0 7.446 * [backup-simplify]: Simplify (+ 0 0) into 0 7.446 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [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)) 7.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.449 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.449 * [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)))) 7.449 * [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))) 7.449 * [backup-simplify]: Simplify (- 0) into 0 7.450 * [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)))) 7.450 * [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 7.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 7.450 * [taylor]: Taking taylor expansion of 1/2 in n 7.450 * [backup-simplify]: Simplify 1/2 into 1/2 7.450 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 7.450 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.450 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.450 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.450 * [taylor]: Taking taylor expansion of (log n) in n 7.450 * [taylor]: Taking taylor expansion of n in n 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (log 1) into 0 7.450 * [taylor]: Taking taylor expansion of (log i) in n 7.450 * [taylor]: Taking taylor expansion of i in n 7.450 * [backup-simplify]: Simplify i into i 7.450 * [backup-simplify]: Simplify (log i) into (log i) 7.450 * [taylor]: Taking taylor expansion of n in n 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.451 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.451 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.451 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.451 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.451 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.451 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.451 * [taylor]: Taking taylor expansion of n in n 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 1 into 1 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.451 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n 7.452 * [taylor]: Taking taylor expansion of 1/2 in n 7.452 * [backup-simplify]: Simplify 1/2 into 1/2 7.452 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 7.452 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.452 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.452 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.452 * [taylor]: Taking taylor expansion of (log n) in n 7.452 * [taylor]: Taking taylor expansion of n in n 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (log 1) into 0 7.452 * [taylor]: Taking taylor expansion of (log i) in n 7.452 * [taylor]: Taking taylor expansion of i in n 7.452 * [backup-simplify]: Simplify i into i 7.452 * [backup-simplify]: Simplify (log i) into (log i) 7.452 * [taylor]: Taking taylor expansion of n in n 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.452 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.452 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.452 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.453 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.453 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.453 * [taylor]: Taking taylor expansion of n in n 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (* 1 1) into 1 7.453 * [backup-simplify]: Simplify (* 1 1) into 1 7.454 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 7.471 * [backup-simplify]: Simplify (- 0) into 0 7.471 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (+ 0 0) into 0 7.476 * [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)) 7.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.477 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.477 * [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))) 7.477 * [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))))) 7.478 * [backup-simplify]: Simplify (- 0) into 0 7.478 * [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)))) 7.478 * [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 7.478 * [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 7.478 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 7.478 * [taylor]: Taking taylor expansion of 1/3 in n 7.478 * [backup-simplify]: Simplify 1/3 into 1/3 7.478 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 7.478 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.478 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.478 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.478 * [taylor]: Taking taylor expansion of (log n) in n 7.478 * [taylor]: Taking taylor expansion of n in n 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify (log 1) into 0 7.479 * [taylor]: Taking taylor expansion of (log i) in n 7.479 * [taylor]: Taking taylor expansion of i in n 7.479 * [backup-simplify]: Simplify i into i 7.479 * [backup-simplify]: Simplify (log i) into (log i) 7.479 * [taylor]: Taking taylor expansion of n in n 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.479 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.479 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.479 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.479 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.479 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.479 * [taylor]: Taking taylor expansion of n in n 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify (* 1 1) into 1 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.480 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.480 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 7.480 * [taylor]: Taking taylor expansion of 1/6 in n 7.480 * [backup-simplify]: Simplify 1/6 into 1/6 7.480 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 7.480 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.480 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.480 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.480 * [taylor]: Taking taylor expansion of (log n) in n 7.480 * [taylor]: Taking taylor expansion of n in n 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (log 1) into 0 7.480 * [taylor]: Taking taylor expansion of (log i) in n 7.480 * [taylor]: Taking taylor expansion of i in n 7.480 * [backup-simplify]: Simplify i into i 7.480 * [backup-simplify]: Simplify (log i) into (log i) 7.480 * [taylor]: Taking taylor expansion of n in n 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.481 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.481 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.481 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.481 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.481 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.481 * [taylor]: Taking taylor expansion of (pow n 6) in n 7.481 * [taylor]: Taking taylor expansion of n in n 7.481 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify 1 into 1 7.481 * [backup-simplify]: Simplify (* 1 1) into 1 7.481 * [backup-simplify]: Simplify (* 1 1) into 1 7.482 * [backup-simplify]: Simplify (* 1 1) into 1 7.482 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 7.482 * [taylor]: Taking taylor expansion of 1/2 in n 7.482 * [backup-simplify]: Simplify 1/2 into 1/2 7.482 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 7.482 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.482 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.482 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.482 * [taylor]: Taking taylor expansion of (log n) in n 7.482 * [taylor]: Taking taylor expansion of n in n 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 1 into 1 7.482 * [backup-simplify]: Simplify (log 1) into 0 7.482 * [taylor]: Taking taylor expansion of (log i) in n 7.482 * [taylor]: Taking taylor expansion of i in n 7.482 * [backup-simplify]: Simplify i into i 7.482 * [backup-simplify]: Simplify (log i) into (log i) 7.482 * [taylor]: Taking taylor expansion of n in n 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 1 into 1 7.483 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.483 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.483 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.483 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.483 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.483 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.483 * [taylor]: Taking taylor expansion of n in n 7.483 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify 1 into 1 7.483 * [backup-simplify]: Simplify (* 1 1) into 1 7.483 * [backup-simplify]: Simplify (* 1 1) into 1 7.484 * [backup-simplify]: Simplify (* 1 1) into 1 7.484 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [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 7.531 * [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 7.533 * [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 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.560 * [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 7.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 7.562 * [backup-simplify]: Simplify (- 0) into 0 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) 7.563 * [backup-simplify]: Simplify (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) into (- (pow (+ (/ n i) 1) (/ -1 n)) 1) 7.563 * [approximate]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in (i n) around 0 7.563 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 7.563 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 7.563 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 7.563 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 7.563 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.563 * [taylor]: Taking taylor expansion of -1 in n 7.563 * [backup-simplify]: Simplify -1 into -1 7.563 * [taylor]: Taking taylor expansion of n in n 7.563 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify 1 into 1 7.563 * [backup-simplify]: Simplify (/ -1 1) into -1 7.563 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.563 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.563 * [taylor]: Taking taylor expansion of (/ n i) in n 7.564 * [taylor]: Taking taylor expansion of n in n 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 1 into 1 7.564 * [taylor]: Taking taylor expansion of i in n 7.564 * [backup-simplify]: Simplify i into i 7.564 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.564 * [taylor]: Taking taylor expansion of 1 in n 7.564 * [backup-simplify]: Simplify 1 into 1 7.564 * [backup-simplify]: Simplify (+ 0 1) into 1 7.564 * [backup-simplify]: Simplify (log 1) into 0 7.565 * [backup-simplify]: Simplify (* -1 0) into 0 7.565 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 7.567 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 7.567 * [taylor]: Taking taylor expansion of 1 in n 7.567 * [backup-simplify]: Simplify 1 into 1 7.567 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 7.567 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 7.567 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 7.567 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 7.567 * [taylor]: Taking taylor expansion of (/ -1 n) in i 7.567 * [taylor]: Taking taylor expansion of -1 in i 7.567 * [backup-simplify]: Simplify -1 into -1 7.567 * [taylor]: Taking taylor expansion of n in i 7.567 * [backup-simplify]: Simplify n into n 7.567 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.567 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.567 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.567 * [taylor]: Taking taylor expansion of (/ n i) in i 7.567 * [taylor]: Taking taylor expansion of n in i 7.567 * [backup-simplify]: Simplify n into n 7.567 * [taylor]: Taking taylor expansion of i in i 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (/ n 1) into n 7.568 * [taylor]: Taking taylor expansion of 1 in i 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (+ n 0) into n 7.568 * [backup-simplify]: Simplify (log n) into (log n) 7.568 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.568 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.568 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.568 * [taylor]: Taking taylor expansion of 1 in i 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 7.569 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 7.569 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 7.569 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 7.569 * [taylor]: Taking taylor expansion of (/ -1 n) in i 7.569 * [taylor]: Taking taylor expansion of -1 in i 7.569 * [backup-simplify]: Simplify -1 into -1 7.569 * [taylor]: Taking taylor expansion of n in i 7.569 * [backup-simplify]: Simplify n into n 7.569 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.569 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.569 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.569 * [taylor]: Taking taylor expansion of (/ n i) in i 7.569 * [taylor]: Taking taylor expansion of n in i 7.569 * [backup-simplify]: Simplify n into n 7.569 * [taylor]: Taking taylor expansion of i in i 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.569 * [backup-simplify]: Simplify (/ n 1) into n 7.569 * [taylor]: Taking taylor expansion of 1 in i 7.569 * [backup-simplify]: Simplify 1 into 1 7.569 * [backup-simplify]: Simplify (+ n 0) into n 7.569 * [backup-simplify]: Simplify (log n) into (log n) 7.570 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.570 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.570 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.570 * [taylor]: Taking taylor expansion of 1 in i 7.570 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (- 1) into -1 7.571 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.571 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 7.571 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.571 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.571 * [taylor]: Taking taylor expansion of -1 in n 7.571 * [backup-simplify]: Simplify -1 into -1 7.571 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.571 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.571 * [taylor]: Taking taylor expansion of (log n) in n 7.571 * [taylor]: Taking taylor expansion of n in n 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (log 1) into 0 7.571 * [taylor]: Taking taylor expansion of (log i) in n 7.571 * [taylor]: Taking taylor expansion of i in n 7.571 * [backup-simplify]: Simplify i into i 7.571 * [backup-simplify]: Simplify (log i) into (log i) 7.571 * [taylor]: Taking taylor expansion of n in n 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.572 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.572 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.572 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.572 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.572 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.572 * [taylor]: Taking taylor expansion of 1 in n 7.572 * [backup-simplify]: Simplify 1 into 1 7.573 * [backup-simplify]: Simplify (- 1) into -1 7.573 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.573 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (+ 0 1) into 1 7.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.576 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 7.577 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.577 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 7.577 * [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))) 7.578 * [backup-simplify]: Simplify (- 0) into 0 7.578 * [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))) 7.578 * [taylor]: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n 7.578 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n 7.578 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.578 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.578 * [taylor]: Taking taylor expansion of -1 in n 7.578 * [backup-simplify]: Simplify -1 into -1 7.578 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.578 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.578 * [taylor]: Taking taylor expansion of (log n) in n 7.578 * [taylor]: Taking taylor expansion of n in n 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 1 into 1 7.578 * [backup-simplify]: Simplify (log 1) into 0 7.578 * [taylor]: Taking taylor expansion of (log i) in n 7.579 * [taylor]: Taking taylor expansion of i in n 7.579 * [backup-simplify]: Simplify i into i 7.579 * [backup-simplify]: Simplify (log i) into (log i) 7.579 * [taylor]: Taking taylor expansion of n in n 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.579 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.579 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.579 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.579 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.580 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.580 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.580 * [taylor]: Taking taylor expansion of n in n 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify 1 into 1 7.580 * [backup-simplify]: Simplify (* 1 1) into 1 7.580 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (- 0) into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify (- 0) into 0 7.585 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify (+ 0 0) into 0 7.589 * [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)) 7.589 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.589 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.589 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) 7.590 * [backup-simplify]: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 7.590 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [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)))) 7.591 * [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 7.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 7.591 * [taylor]: Taking taylor expansion of 1/2 in n 7.591 * [backup-simplify]: Simplify 1/2 into 1/2 7.591 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 7.591 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.591 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.591 * [taylor]: Taking taylor expansion of -1 in n 7.591 * [backup-simplify]: Simplify -1 into -1 7.591 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.591 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.591 * [taylor]: Taking taylor expansion of (log n) in n 7.591 * [taylor]: Taking taylor expansion of n in n 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (log 1) into 0 7.592 * [taylor]: Taking taylor expansion of (log i) in n 7.592 * [taylor]: Taking taylor expansion of i in n 7.592 * [backup-simplify]: Simplify i into i 7.592 * [backup-simplify]: Simplify (log i) into (log i) 7.592 * [taylor]: Taking taylor expansion of n in n 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.592 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.592 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.592 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.592 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.593 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.593 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.593 * [taylor]: Taking taylor expansion of n in n 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (* 1 1) into 1 7.593 * [backup-simplify]: Simplify (* 1 1) into 1 7.594 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 7.594 * [taylor]: Taking taylor expansion of 1/2 in n 7.594 * [backup-simplify]: Simplify 1/2 into 1/2 7.594 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 7.594 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.594 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.594 * [taylor]: Taking taylor expansion of -1 in n 7.594 * [backup-simplify]: Simplify -1 into -1 7.594 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.594 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.594 * [taylor]: Taking taylor expansion of (log n) in n 7.594 * [taylor]: Taking taylor expansion of n in n 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (log 1) into 0 7.594 * [taylor]: Taking taylor expansion of (log i) in n 7.594 * [taylor]: Taking taylor expansion of i in n 7.594 * [backup-simplify]: Simplify i into i 7.594 * [backup-simplify]: Simplify (log i) into (log i) 7.594 * [taylor]: Taking taylor expansion of n in n 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.595 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.595 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.595 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.595 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.595 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.595 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.595 * [taylor]: Taking taylor expansion of n in n 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [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 7.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 7.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 7.625 * [backup-simplify]: Simplify (+ 0 0) into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (- 0) into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify (- 0) into 0 7.630 * [backup-simplify]: Simplify (+ 0 0) into 0 7.630 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (+ 0 0) into 0 7.636 * [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)) 7.636 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.637 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.637 * [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)))) 7.638 * [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))))))) 7.639 * [backup-simplify]: Simplify (- 0) into 0 7.639 * [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)))))) 7.639 * [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 7.640 * [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 7.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 7.640 * [taylor]: Taking taylor expansion of 1/2 in n 7.640 * [backup-simplify]: Simplify 1/2 into 1/2 7.640 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 7.640 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.640 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.640 * [taylor]: Taking taylor expansion of -1 in n 7.640 * [backup-simplify]: Simplify -1 into -1 7.640 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.640 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.640 * [taylor]: Taking taylor expansion of (log n) in n 7.640 * [taylor]: Taking taylor expansion of n in n 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [backup-simplify]: Simplify (log 1) into 0 7.640 * [taylor]: Taking taylor expansion of (log i) in n 7.640 * [taylor]: Taking taylor expansion of i in n 7.640 * [backup-simplify]: Simplify i into i 7.641 * [backup-simplify]: Simplify (log i) into (log i) 7.641 * [taylor]: Taking taylor expansion of n in n 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.641 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.641 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.641 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.641 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.642 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.642 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.642 * [taylor]: Taking taylor expansion of n in n 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.643 * [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 7.643 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 7.643 * [taylor]: Taking taylor expansion of 1/6 in n 7.643 * [backup-simplify]: Simplify 1/6 into 1/6 7.643 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 7.643 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.643 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.643 * [taylor]: Taking taylor expansion of -1 in n 7.643 * [backup-simplify]: Simplify -1 into -1 7.643 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.643 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.644 * [taylor]: Taking taylor expansion of (log n) in n 7.644 * [taylor]: Taking taylor expansion of n in n 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (log 1) into 0 7.644 * [taylor]: Taking taylor expansion of (log i) in n 7.644 * [taylor]: Taking taylor expansion of i in n 7.644 * [backup-simplify]: Simplify i into i 7.644 * [backup-simplify]: Simplify (log i) into (log i) 7.644 * [taylor]: Taking taylor expansion of n in n 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.645 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.645 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.645 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.645 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.645 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.645 * [taylor]: Taking taylor expansion of (pow n 6) in n 7.645 * [taylor]: Taking taylor expansion of n in n 7.645 * [backup-simplify]: Simplify 0 into 0 7.645 * [backup-simplify]: Simplify 1 into 1 7.646 * [backup-simplify]: Simplify (* 1 1) into 1 7.646 * [backup-simplify]: Simplify (* 1 1) into 1 7.647 * [backup-simplify]: Simplify (* 1 1) into 1 7.647 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.647 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 7.647 * [taylor]: Taking taylor expansion of 1/3 in n 7.647 * [backup-simplify]: Simplify 1/3 into 1/3 7.647 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 7.647 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.647 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.647 * [taylor]: Taking taylor expansion of -1 in n 7.647 * [backup-simplify]: Simplify -1 into -1 7.647 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.647 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.647 * [taylor]: Taking taylor expansion of (log n) in n 7.647 * [taylor]: Taking taylor expansion of n in n 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 1 into 1 7.647 * [backup-simplify]: Simplify (log 1) into 0 7.648 * [taylor]: Taking taylor expansion of (log i) in n 7.648 * [taylor]: Taking taylor expansion of i in n 7.648 * [backup-simplify]: Simplify i into i 7.648 * [backup-simplify]: Simplify (log i) into (log i) 7.648 * [taylor]: Taking taylor expansion of n in n 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.648 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.648 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.648 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.648 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.648 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.648 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.648 * [taylor]: Taking taylor expansion of n in n 7.648 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (* 1 1) into 1 7.649 * [backup-simplify]: Simplify (* 1 1) into 1 7.649 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.664 * [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 7.666 * [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 7.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 7.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.689 * [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 7.692 * [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 7.696 * [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 7.699 * [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 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.715 * [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 7.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (- 0) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) 7.718 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.718 * [backup-simplify]: Simplify (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) into (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) 7.719 * [approximate]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in (i n) around 0 7.719 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in n 7.719 * [taylor]: Taking taylor expansion of 100 in n 7.719 * [backup-simplify]: Simplify 100 into 100 7.719 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in n 7.719 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in n 7.719 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in n 7.719 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in n 7.719 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in n 7.719 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in n 7.719 * [taylor]: Taking taylor expansion of n in n 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in n 7.719 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in n 7.719 * [taylor]: Taking taylor expansion of (/ i n) in n 7.719 * [taylor]: Taking taylor expansion of i in n 7.719 * [backup-simplify]: Simplify i into i 7.719 * [taylor]: Taking taylor expansion of n in n 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (/ i 1) into i 7.719 * [taylor]: Taking taylor expansion of 1 in n 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (+ i 0) into i 7.719 * [backup-simplify]: Simplify (log i) into (log i) 7.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.720 * [backup-simplify]: Simplify (* 0 (- (log i) (log n))) into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ 0 1) into 1 7.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 7.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.722 * [backup-simplify]: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) 7.722 * [backup-simplify]: Simplify (exp 0) into 1 7.722 * [taylor]: Taking taylor expansion of 1 in n 7.722 * [backup-simplify]: Simplify 1 into 1 7.722 * [taylor]: Taking taylor expansion of n in n 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify 1 into 1 7.722 * [taylor]: Taking taylor expansion of i in n 7.722 * [backup-simplify]: Simplify i into i 7.722 * [backup-simplify]: Simplify (- 1) into -1 7.722 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.722 * [backup-simplify]: Simplify (* 0 0) into 0 7.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 7.723 * [backup-simplify]: Simplify (- 0) into 0 7.723 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 7.723 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.725 * [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)) 7.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 7.726 * [backup-simplify]: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) 7.726 * [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))))) 7.726 * [backup-simplify]: Simplify (- 0) into 0 7.727 * [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))))) 7.727 * [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)) 7.727 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 7.727 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i 7.727 * [taylor]: Taking taylor expansion of 100 in i 7.727 * [backup-simplify]: Simplify 100 into 100 7.728 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 7.728 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 7.728 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 7.728 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.728 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.728 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.728 * [taylor]: Taking taylor expansion of n in i 7.728 * [backup-simplify]: Simplify n into n 7.728 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.728 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.728 * [taylor]: Taking taylor expansion of (/ i n) in i 7.728 * [taylor]: Taking taylor expansion of i in i 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [taylor]: Taking taylor expansion of n in i 7.728 * [backup-simplify]: Simplify n into n 7.728 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.728 * [taylor]: Taking taylor expansion of 1 in i 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (+ 0 1) into 1 7.728 * [backup-simplify]: Simplify (log 1) into 0 7.728 * [backup-simplify]: Simplify (* n 0) into 0 7.728 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.729 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.729 * [backup-simplify]: Simplify (exp 0) into 1 7.729 * [taylor]: Taking taylor expansion of 1 in i 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [taylor]: Taking taylor expansion of n in i 7.729 * [backup-simplify]: Simplify n into n 7.729 * [taylor]: Taking taylor expansion of i in i 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (- 1) into -1 7.730 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.730 * [backup-simplify]: Simplify (* 0 n) into 0 7.730 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.731 * [backup-simplify]: Simplify (- 0) into 0 7.731 * [backup-simplify]: Simplify (+ 1 0) into 1 7.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.731 * [backup-simplify]: Simplify (/ n 1) into n 7.731 * [taylor]: Taking taylor expansion of (* 100 (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i)) in i 7.731 * [taylor]: Taking taylor expansion of 100 in i 7.731 * [backup-simplify]: Simplify 100 into 100 7.731 * [taylor]: Taking taylor expansion of (/ (* (- (pow (+ (/ i n) 1) n) 1) n) i) in i 7.731 * [taylor]: Taking taylor expansion of (* (- (pow (+ (/ i n) 1) n) 1) n) in i 7.731 * [taylor]: Taking taylor expansion of (- (pow (+ (/ i n) 1) n) 1) in i 7.731 * [taylor]: Taking taylor expansion of (pow (+ (/ i n) 1) n) in i 7.731 * [taylor]: Taking taylor expansion of (exp (* n (log (+ (/ i n) 1)))) in i 7.731 * [taylor]: Taking taylor expansion of (* n (log (+ (/ i n) 1))) in i 7.731 * [taylor]: Taking taylor expansion of n in i 7.731 * [backup-simplify]: Simplify n into n 7.731 * [taylor]: Taking taylor expansion of (log (+ (/ i n) 1)) in i 7.731 * [taylor]: Taking taylor expansion of (+ (/ i n) 1) in i 7.731 * [taylor]: Taking taylor expansion of (/ i n) in i 7.731 * [taylor]: Taking taylor expansion of i in i 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [taylor]: Taking taylor expansion of n in i 7.731 * [backup-simplify]: Simplify n into n 7.732 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.732 * [taylor]: Taking taylor expansion of 1 in i 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (+ 0 1) into 1 7.732 * [backup-simplify]: Simplify (log 1) into 0 7.732 * [backup-simplify]: Simplify (* n 0) into 0 7.732 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 7.733 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 7.733 * [backup-simplify]: Simplify (exp 0) into 1 7.733 * [taylor]: Taking taylor expansion of 1 in i 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [taylor]: Taking taylor expansion of n in i 7.733 * [backup-simplify]: Simplify n into n 7.733 * [taylor]: Taking taylor expansion of i in i 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (- 1) into -1 7.733 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.733 * [backup-simplify]: Simplify (* 0 n) into 0 7.734 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.734 * [backup-simplify]: Simplify (- 0) into 0 7.735 * [backup-simplify]: Simplify (+ 1 0) into 1 7.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.735 * [backup-simplify]: Simplify (/ n 1) into n 7.735 * [backup-simplify]: Simplify (* 100 n) into (* 100 n) 7.735 * [taylor]: Taking taylor expansion of (* 100 n) in n 7.735 * [taylor]: Taking taylor expansion of 100 in n 7.735 * [backup-simplify]: Simplify 100 into 100 7.735 * [taylor]: Taking taylor expansion of n in n 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 7.736 * [backup-simplify]: Simplify (+ 0 0) into 0 7.737 * [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)) 7.738 * [backup-simplify]: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) 7.738 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) 7.738 * [backup-simplify]: Simplify (- 0) into 0 7.739 * [backup-simplify]: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) 7.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* (- 1/2 (* 1/2 (/ 1 n))) n))) into (- (* 1/2 n) 1/2) 7.739 * [backup-simplify]: Simplify (- (/ (- (* 1/2 n) 1/2) 1) (+ (* n (/ 0 1)))) into (- (* 1/2 n) 1/2) 7.740 * [backup-simplify]: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50) 7.740 * [taylor]: Taking taylor expansion of (- (* 50 n) 50) in n 7.740 * [taylor]: Taking taylor expansion of (* 50 n) in n 7.740 * [taylor]: Taking taylor expansion of 50 in n 7.740 * [backup-simplify]: Simplify 50 into 50 7.740 * [taylor]: Taking taylor expansion of n in n 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [taylor]: Taking taylor expansion of 50 in n 7.740 * [backup-simplify]: Simplify 50 into 50 7.740 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 0))) into 0 7.741 * [backup-simplify]: Simplify (- 0) into 0 7.741 * [backup-simplify]: Simplify (+ 0 0) into 0 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.742 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [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)) 7.744 * [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))) 7.745 * [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))) 7.745 * [backup-simplify]: Simplify (- 0) into 0 7.745 * [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))) 7.746 * [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) 7.747 * [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) 7.747 * [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) 7.747 * [taylor]: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n 7.747 * [taylor]: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n 7.747 * [taylor]: Taking taylor expansion of (* 50/3 n) in n 7.747 * [taylor]: Taking taylor expansion of 50/3 in n 7.747 * [backup-simplify]: Simplify 50/3 into 50/3 7.747 * [taylor]: Taking taylor expansion of n in n 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [taylor]: Taking taylor expansion of (* 100/3 (/ 1 n)) in n 7.747 * [taylor]: Taking taylor expansion of 100/3 in n 7.747 * [backup-simplify]: Simplify 100/3 into 100/3 7.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.747 * [taylor]: Taking taylor expansion of n in n 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (/ 1 1) into 1 7.748 * [taylor]: Taking taylor expansion of 50 in n 7.748 * [backup-simplify]: Simplify 50 into 50 7.748 * [backup-simplify]: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (- 0) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.753 * [backup-simplify]: Simplify (- 0) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [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)) 7.755 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in (i n) around 0 7.755 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in n 7.755 * [taylor]: Taking taylor expansion of 100 in n 7.755 * [backup-simplify]: Simplify 100 into 100 7.755 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in n 7.755 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in n 7.755 * [taylor]: Taking taylor expansion of i in n 7.755 * [backup-simplify]: Simplify i into i 7.755 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in n 7.755 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in n 7.755 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in n 7.755 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in n 7.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.755 * [taylor]: Taking taylor expansion of n in n 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (/ 1 1) into 1 7.756 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.756 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.756 * [taylor]: Taking taylor expansion of (/ n i) in n 7.756 * [taylor]: Taking taylor expansion of n in n 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [taylor]: Taking taylor expansion of i in n 7.756 * [backup-simplify]: Simplify i into i 7.756 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.756 * [taylor]: Taking taylor expansion of 1 in n 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (+ 0 1) into 1 7.758 * [backup-simplify]: Simplify (log 1) into 0 7.758 * [backup-simplify]: Simplify (* 1 0) into 0 7.759 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) 7.760 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 7.760 * [taylor]: Taking taylor expansion of 1 in n 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [taylor]: Taking taylor expansion of n in n 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (- 1) into -1 7.760 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 7.760 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 7.760 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 7.760 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i 7.760 * [taylor]: Taking taylor expansion of 100 in i 7.760 * [backup-simplify]: Simplify 100 into 100 7.760 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 7.760 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 7.760 * [taylor]: Taking taylor expansion of i in i 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 7.760 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.760 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.760 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.760 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.760 * [taylor]: Taking taylor expansion of n in i 7.760 * [backup-simplify]: Simplify n into n 7.760 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.760 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.760 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.760 * [taylor]: Taking taylor expansion of (/ n i) in i 7.760 * [taylor]: Taking taylor expansion of n in i 7.761 * [backup-simplify]: Simplify n into n 7.761 * [taylor]: Taking taylor expansion of i in i 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (/ n 1) into n 7.761 * [taylor]: Taking taylor expansion of 1 in i 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (+ n 0) into n 7.761 * [backup-simplify]: Simplify (log n) into (log n) 7.761 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.761 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.761 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.761 * [taylor]: Taking taylor expansion of 1 in i 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [taylor]: Taking taylor expansion of n in i 7.761 * [backup-simplify]: Simplify n into n 7.761 * [backup-simplify]: Simplify (- 1) into -1 7.761 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.762 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 7.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 1) into 1 7.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.763 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.763 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.763 * [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)) 7.764 * [backup-simplify]: Simplify (- 0) into 0 7.764 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 7.764 * [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) 7.764 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 7.764 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n)) in i 7.764 * [taylor]: Taking taylor expansion of 100 in i 7.764 * [backup-simplify]: Simplify 100 into 100 7.764 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) n) in i 7.764 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ 1 n)) 1)) in i 7.764 * [taylor]: Taking taylor expansion of i in i 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ 1 n)) 1) in i 7.764 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ 1 n)) in i 7.764 * [taylor]: Taking taylor expansion of (exp (* (/ 1 n) (log (+ (/ n i) 1)))) in i 7.764 * [taylor]: Taking taylor expansion of (* (/ 1 n) (log (+ (/ n i) 1))) in i 7.764 * [taylor]: Taking taylor expansion of (/ 1 n) in i 7.764 * [taylor]: Taking taylor expansion of n in i 7.764 * [backup-simplify]: Simplify n into n 7.764 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.764 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.764 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.764 * [taylor]: Taking taylor expansion of (/ n i) in i 7.764 * [taylor]: Taking taylor expansion of n in i 7.764 * [backup-simplify]: Simplify n into n 7.764 * [taylor]: Taking taylor expansion of i in i 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (/ n 1) into n 7.765 * [taylor]: Taking taylor expansion of 1 in i 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (+ n 0) into n 7.765 * [backup-simplify]: Simplify (log n) into (log n) 7.765 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.765 * [backup-simplify]: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) 7.765 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.765 * [taylor]: Taking taylor expansion of 1 in i 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of n in i 7.765 * [backup-simplify]: Simplify n into n 7.765 * [backup-simplify]: Simplify (- 1) into -1 7.765 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.766 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 7.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ 0 1) into 1 7.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.767 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.767 * [backup-simplify]: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) 7.767 * [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)) 7.768 * [backup-simplify]: Simplify (- 0) into 0 7.768 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 7.768 * [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) 7.768 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 7.768 * [backup-simplify]: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) 7.768 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n 7.768 * [taylor]: Taking taylor expansion of 100 in n 7.768 * [backup-simplify]: Simplify 100 into 100 7.768 * [taylor]: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n 7.768 * [taylor]: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n 7.768 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.768 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.768 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.768 * [taylor]: Taking taylor expansion of (log n) in n 7.768 * [taylor]: Taking taylor expansion of n in n 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (log 1) into 0 7.769 * [taylor]: Taking taylor expansion of (log i) in n 7.769 * [taylor]: Taking taylor expansion of i in n 7.769 * [backup-simplify]: Simplify i into i 7.769 * [backup-simplify]: Simplify (log i) into (log i) 7.769 * [taylor]: Taking taylor expansion of n in n 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.769 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.769 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.769 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.769 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.769 * [taylor]: Taking taylor expansion of 1 in n 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of n in n 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (- 1) into -1 7.770 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.770 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) 7.770 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) 7.770 * [backup-simplify]: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) 7.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.771 * [backup-simplify]: Simplify (+ 0 0) into 0 7.772 * [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)) 7.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.772 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.773 * [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)))) 7.773 * [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))) 7.773 * [backup-simplify]: Simplify (- 0) into 0 7.773 * [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)))) 7.774 * [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)) 7.774 * [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)) 7.774 * [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))) 7.774 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n 7.774 * [taylor]: Taking taylor expansion of 100 in n 7.774 * [backup-simplify]: Simplify 100 into 100 7.774 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n 7.774 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.774 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.774 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.774 * [taylor]: Taking taylor expansion of (log n) in n 7.774 * [taylor]: Taking taylor expansion of n in n 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (log 1) into 0 7.775 * [taylor]: Taking taylor expansion of (log i) in n 7.775 * [taylor]: Taking taylor expansion of i in n 7.775 * [backup-simplify]: Simplify i into i 7.775 * [backup-simplify]: Simplify (log i) into (log i) 7.775 * [taylor]: Taking taylor expansion of n in n 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.775 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.775 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.775 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.775 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.775 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.775 * [taylor]: Taking taylor expansion of n in n 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (* 1 1) into 1 7.776 * [backup-simplify]: Simplify (* 1 1) into 1 7.776 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.780 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 7.781 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [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)) 7.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.786 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.786 * [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))) 7.787 * [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))))) 7.788 * [backup-simplify]: Simplify (- 0) into 0 7.788 * [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)))) 7.790 * [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)))) 7.791 * [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)))) 7.792 * [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)))) 7.792 * [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 7.792 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 7.792 * [taylor]: Taking taylor expansion of 50 in n 7.792 * [backup-simplify]: Simplify 50 into 50 7.792 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 7.792 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.792 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.792 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.792 * [taylor]: Taking taylor expansion of (log n) in n 7.792 * [taylor]: Taking taylor expansion of n in n 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (log 1) into 0 7.793 * [taylor]: Taking taylor expansion of (log i) in n 7.793 * [taylor]: Taking taylor expansion of i in n 7.793 * [backup-simplify]: Simplify i into i 7.793 * [backup-simplify]: Simplify (log i) into (log i) 7.793 * [taylor]: Taking taylor expansion of n in n 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.793 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.793 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.793 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.794 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.794 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.794 * [taylor]: Taking taylor expansion of n in n 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (* 1 1) into 1 7.794 * [backup-simplify]: Simplify (* 1 1) into 1 7.795 * [backup-simplify]: Simplify (* 1 1) into 1 7.795 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.795 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n 7.795 * [taylor]: Taking taylor expansion of 50 in n 7.795 * [backup-simplify]: Simplify 50 into 50 7.795 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n 7.795 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.795 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.795 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.795 * [taylor]: Taking taylor expansion of (log n) in n 7.795 * [taylor]: Taking taylor expansion of n in n 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (log 1) into 0 7.796 * [taylor]: Taking taylor expansion of (log i) in n 7.796 * [taylor]: Taking taylor expansion of i in n 7.796 * [backup-simplify]: Simplify i into i 7.796 * [backup-simplify]: Simplify (log i) into (log i) 7.796 * [taylor]: Taking taylor expansion of n in n 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.796 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.796 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.796 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.797 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.797 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.797 * [taylor]: Taking taylor expansion of n in n 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [backup-simplify]: Simplify (* 1 1) into 1 7.798 * [backup-simplify]: Simplify (* 1 1) into 1 7.798 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 7.829 * [backup-simplify]: Simplify (- 0) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.834 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (- 0) into 0 7.835 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 7.837 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (+ 0 0) into 0 7.845 * [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)) 7.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.845 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.846 * [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)))) 7.847 * [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)))))) 7.847 * [backup-simplify]: Simplify (- 0) into 0 7.848 * [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))))) 7.851 * [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)))) 7.853 * [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)))) 7.854 * [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)))) 7.855 * [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 7.855 * [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 7.855 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n 7.855 * [taylor]: Taking taylor expansion of 50/3 in n 7.855 * [backup-simplify]: Simplify 50/3 into 50/3 7.855 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n 7.855 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.855 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.855 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.855 * [taylor]: Taking taylor expansion of (log n) in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (log 1) into 0 7.855 * [taylor]: Taking taylor expansion of (log i) in n 7.856 * [taylor]: Taking taylor expansion of i in n 7.856 * [backup-simplify]: Simplify i into i 7.856 * [backup-simplify]: Simplify (log i) into (log i) 7.856 * [taylor]: Taking taylor expansion of n in n 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.856 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.856 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.856 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.856 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.856 * [taylor]: Taking taylor expansion of (pow n 7) in n 7.856 * [taylor]: Taking taylor expansion of n in n 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (* 1 1) into 1 7.858 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.858 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n 7.858 * [taylor]: Taking taylor expansion of 100/3 in n 7.858 * [backup-simplify]: Simplify 100/3 into 100/3 7.858 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n 7.858 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.858 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.858 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.858 * [taylor]: Taking taylor expansion of (log n) in n 7.858 * [taylor]: Taking taylor expansion of n in n 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (log 1) into 0 7.859 * [taylor]: Taking taylor expansion of (log i) in n 7.859 * [taylor]: Taking taylor expansion of i in n 7.859 * [backup-simplify]: Simplify i into i 7.859 * [backup-simplify]: Simplify (log i) into (log i) 7.859 * [taylor]: Taking taylor expansion of n in n 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.860 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.860 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.860 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.860 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.860 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.860 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.860 * [taylor]: Taking taylor expansion of n in n 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [backup-simplify]: Simplify (* 1 1) into 1 7.861 * [backup-simplify]: Simplify (* 1 1) into 1 7.861 * [backup-simplify]: Simplify (* 1 1) into 1 7.861 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.861 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n 7.861 * [taylor]: Taking taylor expansion of 50 in n 7.861 * [backup-simplify]: Simplify 50 into 50 7.861 * [taylor]: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n 7.861 * [taylor]: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n 7.861 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.861 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.861 * [taylor]: Taking taylor expansion of (log n) in n 7.861 * [taylor]: Taking taylor expansion of n in n 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (log 1) into 0 7.862 * [taylor]: Taking taylor expansion of (log i) in n 7.862 * [taylor]: Taking taylor expansion of i in n 7.862 * [backup-simplify]: Simplify i into i 7.862 * [backup-simplify]: Simplify (log i) into (log i) 7.862 * [taylor]: Taking taylor expansion of n in n 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.863 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.863 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.863 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.863 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 7.863 * [taylor]: Taking taylor expansion of (pow n 6) in n 7.863 * [taylor]: Taking taylor expansion of n in n 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [backup-simplify]: Simplify (* 1 1) into 1 7.864 * [backup-simplify]: Simplify (* 1 1) into 1 7.864 * [backup-simplify]: Simplify (* 1 1) into 1 7.864 * [backup-simplify]: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) 7.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [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 7.907 * [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 7.909 * [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 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 7.921 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.937 * [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 7.939 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) into 0 7.939 * [backup-simplify]: Simplify (- 0) into 0 7.939 * [backup-simplify]: Simplify (+ 0 0) into 0 7.939 * [backup-simplify]: Simplify 0 into 0 7.940 * [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)) 7.940 * [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)) 7.940 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in (i n) around 0 7.940 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in n 7.940 * [taylor]: Taking taylor expansion of 100 in n 7.940 * [backup-simplify]: Simplify 100 into 100 7.940 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in n 7.940 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in n 7.940 * [taylor]: Taking taylor expansion of i in n 7.940 * [backup-simplify]: Simplify i into i 7.940 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in n 7.940 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in n 7.940 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in n 7.940 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in n 7.940 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.940 * [taylor]: Taking taylor expansion of -1 in n 7.940 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 1) into -1 7.941 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in n 7.941 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in n 7.941 * [taylor]: Taking taylor expansion of (/ n i) in n 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 * [taylor]: Taking taylor expansion of i in n 7.941 * [backup-simplify]: Simplify i into i 7.941 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 7.941 * [taylor]: Taking taylor expansion of 1 in n 7.941 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (+ 0 1) into 1 7.942 * [backup-simplify]: Simplify (log 1) into 0 7.943 * [backup-simplify]: Simplify (* -1 0) into 0 7.943 * [backup-simplify]: Simplify (+ (/ 1 i) 0) into (/ 1 i) 7.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 7.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (+ (* -1 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) 7.944 * [backup-simplify]: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) 7.944 * [taylor]: Taking taylor expansion of 1 in n 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of n in n 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (- 1) into -1 7.945 * [backup-simplify]: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) 7.945 * [backup-simplify]: Simplify (* i (- (exp (- (/ 1 i))) 1)) into (* i (- (exp (- (/ 1 i))) 1)) 7.945 * [backup-simplify]: Simplify (/ (* i (- (exp (- (/ 1 i))) 1)) 1) into (* i (- (exp (- (/ 1 i))) 1)) 7.945 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i 7.945 * [taylor]: Taking taylor expansion of 100 in i 7.945 * [backup-simplify]: Simplify 100 into 100 7.945 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 7.945 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) 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)) 1) in i 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 -1 in i 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 (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) 7.946 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.946 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.946 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.946 * [taylor]: Taking taylor expansion of 1 in i 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [taylor]: Taking taylor expansion of n in i 7.946 * [backup-simplify]: Simplify n into n 7.946 * [backup-simplify]: Simplify (- 1) into -1 7.946 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.946 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 7.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ 0 1) into 1 7.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.948 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 7.948 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.948 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 7.949 * [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))) 7.949 * [backup-simplify]: Simplify (- 0) into 0 7.949 * [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))) 7.949 * [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) 7.949 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 7.949 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n)) in i 7.949 * [taylor]: Taking taylor expansion of 100 in i 7.950 * [backup-simplify]: Simplify 100 into 100 7.950 * [taylor]: Taking taylor expansion of (/ (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) n) in i 7.950 * [taylor]: Taking taylor expansion of (* i (- (pow (+ (/ n i) 1) (/ -1 n)) 1)) in i 7.950 * [taylor]: Taking taylor expansion of i in i 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [taylor]: Taking taylor expansion of (- (pow (+ (/ n i) 1) (/ -1 n)) 1) in i 7.950 * [taylor]: Taking taylor expansion of (pow (+ (/ n i) 1) (/ -1 n)) in i 7.950 * [taylor]: Taking taylor expansion of (exp (* (/ -1 n) (log (+ (/ n i) 1)))) in i 7.950 * [taylor]: Taking taylor expansion of (* (/ -1 n) (log (+ (/ n i) 1))) in i 7.950 * [taylor]: Taking taylor expansion of (/ -1 n) in i 7.950 * [taylor]: Taking taylor expansion of -1 in i 7.950 * [backup-simplify]: Simplify -1 into -1 7.950 * [taylor]: Taking taylor expansion of n in i 7.950 * [backup-simplify]: Simplify n into n 7.950 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.950 * [taylor]: Taking taylor expansion of (log (+ (/ n i) 1)) in i 7.950 * [taylor]: Taking taylor expansion of (+ (/ n i) 1) in i 7.950 * [taylor]: Taking taylor expansion of (/ n i) in i 7.950 * [taylor]: Taking taylor expansion of n in i 7.950 * [backup-simplify]: Simplify n into n 7.950 * [taylor]: Taking taylor expansion of i in i 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (/ n 1) into n 7.950 * [taylor]: Taking taylor expansion of 1 in i 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (+ n 0) into n 7.950 * [backup-simplify]: Simplify (log n) into (log n) 7.951 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.951 * [backup-simplify]: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) 7.951 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.951 * [taylor]: Taking taylor expansion of 1 in i 7.951 * [backup-simplify]: Simplify 1 into 1 7.951 * [taylor]: Taking taylor expansion of n in i 7.951 * [backup-simplify]: Simplify n into n 7.951 * [backup-simplify]: Simplify (- 1) into -1 7.951 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.951 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 7.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 7.952 * [backup-simplify]: Simplify (+ 0 1) into 1 7.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 7.953 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)))) into 0 7.953 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.953 * [backup-simplify]: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) 7.953 * [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))) 7.954 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [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))) 7.954 * [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) 7.954 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 7.954 * [backup-simplify]: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) 7.954 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n 7.954 * [taylor]: Taking taylor expansion of 100 in n 7.954 * [backup-simplify]: Simplify 100 into 100 7.954 * [taylor]: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n 7.954 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n 7.954 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.954 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.954 * [taylor]: Taking taylor expansion of -1 in n 7.954 * [backup-simplify]: Simplify -1 into -1 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 7.955 * [backup-simplify]: Simplify (log 1) into 0 7.955 * [taylor]: Taking taylor expansion of (log i) in n 7.955 * [taylor]: Taking taylor expansion of i in n 7.955 * [backup-simplify]: Simplify i into i 7.955 * [backup-simplify]: Simplify (log i) into (log i) 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) (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 (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.955 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.955 * [taylor]: Taking taylor expansion of 1 in n 7.955 * [backup-simplify]: Simplify 1 into 1 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 7.956 * [backup-simplify]: Simplify (- 1) into -1 7.956 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.956 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 7.956 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) 7.956 * [backup-simplify]: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) 7.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [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)) 7.958 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.959 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.959 * [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))) 7.959 * [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))))) 7.959 * [backup-simplify]: Simplify (- 0) into 0 7.960 * [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)))) 7.960 * [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))) 7.961 * [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))) 7.961 * [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)))) 7.961 * [taylor]: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n 7.961 * [taylor]: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n 7.961 * [taylor]: Taking taylor expansion of 100 in n 7.961 * [backup-simplify]: Simplify 100 into 100 7.961 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n 7.961 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.961 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.961 * [taylor]: Taking taylor expansion of -1 in n 7.961 * [backup-simplify]: Simplify -1 into -1 7.961 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.961 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.961 * [taylor]: Taking taylor expansion of (log n) in n 7.961 * [taylor]: Taking taylor expansion of n in n 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (log 1) into 0 7.961 * [taylor]: Taking taylor expansion of (log i) in n 7.961 * [taylor]: Taking taylor expansion of i in n 7.961 * [backup-simplify]: Simplify i into i 7.961 * [backup-simplify]: Simplify (log i) into (log i) 7.961 * [taylor]: Taking taylor expansion of n in n 7.961 * [backup-simplify]: Simplify 0 into 0 7.961 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.962 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.962 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.962 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.962 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.962 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.962 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.962 * [taylor]: Taking taylor expansion of n in n 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (* 1 1) into 1 7.963 * [backup-simplify]: Simplify (* 1 1) into 1 7.963 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.967 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) into 0 7.967 * [backup-simplify]: Simplify (- 0) into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify (- 0) into 0 7.967 * [backup-simplify]: Simplify (+ 0 0) into 0 7.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.970 * [backup-simplify]: Simplify (+ 0 0) into 0 7.972 * [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)) 7.972 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.972 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 7.972 * [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)))) 7.973 * [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))))))) 7.973 * [backup-simplify]: Simplify (- 0) into 0 7.973 * [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)))))) 7.974 * [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)))) 7.975 * [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)))) 7.976 * [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)))) 7.976 * [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 7.976 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 7.976 * [taylor]: Taking taylor expansion of 50 in n 7.976 * [backup-simplify]: Simplify 50 into 50 7.976 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 7.976 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.976 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.976 * [taylor]: Taking taylor expansion of -1 in n 7.976 * [backup-simplify]: Simplify -1 into -1 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 7.976 * [backup-simplify]: Simplify (log 1) into 0 7.976 * [taylor]: Taking taylor expansion of (log i) in n 7.976 * [taylor]: Taking taylor expansion of i in n 7.976 * [backup-simplify]: Simplify i into i 7.976 * [backup-simplify]: Simplify (log i) into (log i) 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 (+ (* (- -1) (log n)) 0) into (log n) 7.977 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.977 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.977 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.977 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.977 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.977 * [taylor]: Taking taylor expansion of (pow n 5) in n 7.977 * [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 7.978 * [backup-simplify]: Simplify (* 1 1) into 1 7.978 * [backup-simplify]: Simplify (* 1 1) into 1 7.978 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.978 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n 7.979 * [taylor]: Taking taylor expansion of 50 in n 7.979 * [backup-simplify]: Simplify 50 into 50 7.979 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n 7.979 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 7.979 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 7.979 * [taylor]: Taking taylor expansion of -1 in n 7.979 * [backup-simplify]: Simplify -1 into -1 7.979 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 7.979 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 7.979 * [taylor]: Taking taylor expansion of (log n) in n 7.979 * [taylor]: Taking taylor expansion of n in n 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (log 1) into 0 7.979 * [taylor]: Taking taylor expansion of (log i) in n 7.979 * [taylor]: Taking taylor expansion of i in n 7.979 * [backup-simplify]: Simplify i into i 7.979 * [backup-simplify]: Simplify (log i) into (log i) 7.979 * [taylor]: Taking taylor expansion of n in n 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.981 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 7.981 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 7.981 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 7.982 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 7.982 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.982 * [taylor]: Taking taylor expansion of (pow n 4) in n 7.982 * [taylor]: Taking taylor expansion of n in n 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.986 * [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 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.993 * [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 7.994 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 8.005 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 8.011 * [backup-simplify]: Simplify (- 0) into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (- 0) into 0 8.012 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 8.015 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ 0 0) into 0 8.022 * [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)) 8.022 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ -1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 8.023 * [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))) 8.025 * [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))))))) 8.025 * [backup-simplify]: Simplify (- 0) into 0 8.027 * [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)))))) 8.030 * [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)))))) 8.032 * [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)))))) 8.033 * [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)))))) 8.033 * [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 8.033 * [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 8.033 * [taylor]: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n 8.033 * [taylor]: Taking taylor expansion of 50/3 in n 8.033 * [backup-simplify]: Simplify 50/3 into 50/3 8.033 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n 8.033 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.033 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.033 * [taylor]: Taking taylor expansion of -1 in n 8.033 * [backup-simplify]: Simplify -1 into -1 8.033 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.033 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.033 * [taylor]: Taking taylor expansion of (log n) in n 8.033 * [taylor]: Taking taylor expansion of n in n 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.034 * [backup-simplify]: Simplify (log 1) into 0 8.034 * [taylor]: Taking taylor expansion of (log i) in n 8.034 * [taylor]: Taking taylor expansion of i in n 8.034 * [backup-simplify]: Simplify i into i 8.034 * [backup-simplify]: Simplify (log i) into (log i) 8.034 * [taylor]: Taking taylor expansion of n in n 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 1 into 1 8.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.034 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.034 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.034 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.034 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.035 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.035 * [taylor]: Taking taylor expansion of (pow n 7) in n 8.035 * [taylor]: Taking taylor expansion of n in n 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (* 1 1) into 1 8.035 * [backup-simplify]: Simplify (* 1 1) into 1 8.035 * [backup-simplify]: Simplify (* 1 1) into 1 8.036 * [backup-simplify]: Simplify (* 1 1) into 1 8.036 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.036 * [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 8.036 * [taylor]: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n 8.036 * [taylor]: Taking taylor expansion of 100/3 in n 8.036 * [backup-simplify]: Simplify 100/3 into 100/3 8.036 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n 8.036 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.036 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.036 * [taylor]: Taking taylor expansion of -1 in n 8.036 * [backup-simplify]: Simplify -1 into -1 8.036 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.036 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.036 * [taylor]: Taking taylor expansion of (log n) in n 8.036 * [taylor]: Taking taylor expansion of n in n 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (log 1) into 0 8.036 * [taylor]: Taking taylor expansion of (log i) in n 8.036 * [taylor]: Taking taylor expansion of i in n 8.036 * [backup-simplify]: Simplify i into i 8.036 * [backup-simplify]: Simplify (log i) into (log i) 8.036 * [taylor]: Taking taylor expansion of n in n 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.037 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.037 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.037 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.037 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.037 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.037 * [taylor]: Taking taylor expansion of (pow n 5) in n 8.037 * [taylor]: Taking taylor expansion of n in n 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (* 1 1) into 1 8.038 * [backup-simplify]: Simplify (* 1 1) into 1 8.038 * [backup-simplify]: Simplify (* 1 1) into 1 8.038 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.038 * [taylor]: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n 8.038 * [taylor]: Taking taylor expansion of 50 in n 8.038 * [backup-simplify]: Simplify 50 into 50 8.038 * [taylor]: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n 8.038 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n 8.038 * [taylor]: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) n)) in n 8.038 * [taylor]: Taking taylor expansion of -1 in n 8.038 * [backup-simplify]: Simplify -1 into -1 8.038 * [taylor]: Taking taylor expansion of (/ (- (log n) (log i)) n) in n 8.038 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 8.038 * [taylor]: Taking taylor expansion of (log n) in n 8.038 * [taylor]: Taking taylor expansion of n in n 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (log 1) into 0 8.038 * [taylor]: Taking taylor expansion of (log i) in n 8.038 * [taylor]: Taking taylor expansion of i in n 8.038 * [backup-simplify]: Simplify i into i 8.038 * [backup-simplify]: Simplify (log i) into (log i) 8.038 * [taylor]: Taking taylor expansion of n in n 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.039 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 8.039 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 8.039 * [backup-simplify]: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) 8.039 * [backup-simplify]: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) 8.039 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 8.039 * [taylor]: Taking taylor expansion of (pow n 6) in n 8.039 * [taylor]: Taking taylor expansion of n in n 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.040 * [backup-simplify]: Simplify (* 1 1) into 1 8.040 * [backup-simplify]: Simplify (* 1 1) into 1 8.040 * [backup-simplify]: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.048 * [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 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.061 * [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 8.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [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 8.070 * [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 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.088 * [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 8.090 * [backup-simplify]: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 8.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 8.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [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 8.112 * [backup-simplify]: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 8.112 * [backup-simplify]: Simplify (+ 0 0) into 0 8.113 * [backup-simplify]: Simplify (+ 0 0) into 0 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [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)) 8.113 * * * [progress]: simplifying candidates 8.113 * * * * [progress]: [ 1 / 508 ] simplifiying candidate # 8.113 * * * * [progress]: [ 2 / 508 ] simplifiying candidate # 8.113 * * * * [progress]: [ 3 / 508 ] simplifiying candidate # 8.113 * * * * [progress]: [ 4 / 508 ] simplifiying candidate # 8.113 * * * * [progress]: [ 5 / 508 ] simplifiying candidate # 8.113 * * * * [progress]: [ 6 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 7 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 8 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 9 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 10 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 11 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 12 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 13 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 14 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 15 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 16 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 17 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 18 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 19 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 20 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 21 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 22 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 23 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 24 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 25 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 26 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 27 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 28 / 508 ] simplifiying candidate # 8.114 * * * * [progress]: [ 29 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 30 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 31 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 32 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 33 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 34 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 35 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 36 / 508 ] simplifiying candidate # 8.115 * * * * [progress]: [ 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8.115 * * * * [progress]: [ 53 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 54 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 55 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 56 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 57 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 58 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 59 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 60 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 61 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 62 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 63 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 64 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 65 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 66 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 67 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 68 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 69 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 70 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 71 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 72 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 73 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 74 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 75 / 508 ] simplifiying candidate # 8.116 * * * * [progress]: [ 76 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 77 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 78 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 79 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 80 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 81 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 82 / 508 ] simplifiying candidate # 8.117 * * * * [progress]: [ 83 / 508 ] simplifiying candidate # 8.117 * * * * 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8.140 * * * * [progress]: [ 450 / 508 ] simplifiying candidate # 8.140 * * * * [progress]: [ 451 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 452 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 453 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 454 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 455 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 456 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 457 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 458 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 459 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 460 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 461 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 462 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 463 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: [ 464 / 508 ] simplifiying candidate # 8.141 * * * * [progress]: 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simplifiying candidate # 8.143 * * * * [progress]: [ 481 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 482 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 483 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 484 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 485 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 486 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 487 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 488 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 489 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 490 / 508 ] simplifiying candidate # 8.143 * * * * [progress]: [ 491 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 492 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 493 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 494 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 495 / 508 ] simplifiying candidate #real (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))))> 8.144 * * * * [progress]: [ 496 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 497 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 498 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 499 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 500 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 501 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 502 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 503 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 504 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 505 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 506 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 507 / 508 ] simplifiying candidate # 8.144 * * * * [progress]: [ 508 / 508 ] simplifiying candidate # 8.152 * [simplify]: Simplifying: (expm1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 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(* 100 (/ 1 (/ 1 (sqrt n)))) (* 100 (/ 1 (/ 1 1))) (* 100 (/ 1 1)) (* 100 (/ 1 i)) (* 100 1) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (* (cbrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* (sqrt 100) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (real->posit16 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) 0 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) (+ i (+ (* 1/2 (pow i 2)) 1)) (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) 0 (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) 8.161 * * [simplify]: iteration 1: (583 enodes) 9.152 * * [simplify]: iteration 2: (1746 enodes) 14.033 * * [simplify]: Extracting #0: cost 318 inf + 0 14.038 * * [simplify]: Extracting #1: cost 1501 inf + 46 14.048 * * [simplify]: Extracting #2: cost 1827 inf + 3551 14.058 * * [simplify]: Extracting #3: cost 1640 inf + 29754 14.080 * * [simplify]: Extracting #4: cost 1200 inf + 182655 14.166 * * [simplify]: Extracting #5: cost 195 inf + 662676 14.274 * * [simplify]: Extracting #6: cost 0 inf + 761446 14.383 * * [simplify]: Extracting #7: cost 0 inf + 761296 14.551 * [simplify]: Simplified to: (expm1 (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (log1p (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (log (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (log (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (log (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (exp (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (/ (* (- (pow (+ (/ i n) 1) n) 1) (* (- (pow (+ (/ i n) 1) n) 1) (- (pow (+ (/ i n) 1) n) 1))) (* (/ i n) (* (/ i n) (/ i n)))) (* (/ (- (pow (+ (/ i 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(cbrt n)))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (sqrt i) (sqrt n))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (sqrt i)) (* (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (* (cbrt n) (cbrt n))) 100) (* 100 (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) i) (/ (* 100 (+ (pow (+ (/ i n) 1) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (sqrt (/ i n))) (* 100 (/ (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (sqrt i) (sqrt n))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (sqrt i)) (* (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (* (cbrt n) (cbrt n))) 100) (* 100 (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) i) (* (/ 100 (cbrt (/ i n))) (/ (+ (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n)))) (/ (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) 100) (sqrt (/ i n))) (/ 100 (/ (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))) (+ (pow (sqrt (+ (/ i n) 1)) n) 1))) (/ 100 (/ (/ (* (cbrt i) (cbrt i)) (sqrt n)) (+ (pow (sqrt (+ (/ i n) 1)) n) 1))) (/ (* 100 (+ (pow (sqrt (+ (/ i n) 1)) n) 1)) (* (cbrt i) (cbrt i))) (* (/ (+ (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt i)) (* (cbrt n) (* (cbrt n) 100))) (* (/ (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt n)) (sqrt i)) 100) (/ 100 (/ (sqrt i) (+ (pow (sqrt (+ (/ i n) 1)) n) 1))) (* (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) (* (cbrt n) (cbrt n))) 100) (* (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt n)) 100) (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) 100) (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) 100) (/ (* (+ (pow (sqrt (+ (/ i n) 1)) n) 1) 100) i) (* (/ 100 (cbrt (/ i n))) (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (cbrt (/ i n)))) (/ (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) 100) (sqrt (/ i n))) (/ 100 (/ (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))) (+ 1 (sqrt (pow (+ (/ i n) 1) n))))) (/ (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (* (cbrt i) (cbrt i))) (/ 100 (/ (/ (sqrt i) (* (cbrt n) (cbrt n))) (+ 1 (sqrt (pow (+ (/ i n) 1) n))))) (/ (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (/ (sqrt i) (sqrt n))) (/ (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (sqrt i)) (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (* (cbrt n) (* (cbrt n) 100))) (* 100 (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (sqrt n))) (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (* 100 (+ 1 (sqrt (pow (+ (/ i n) 1) n)))) (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) i) 100) (/ (* 100 (+ (pow (+ (/ i n) 1) (/ n 2)) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (sqrt (/ i n))) (* 100 (/ (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n))))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (* (cbrt i) (cbrt i)) (sqrt n))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (* (cbrt i) (cbrt i))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (sqrt i) (* (cbrt n) (cbrt n)))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (sqrt i) (sqrt n))) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (sqrt i)) (* (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (* (cbrt n) (cbrt n))) 100) (* 100 (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) (sqrt n))) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) (/ (* (+ (pow (+ (/ i n) 1) (/ n 2)) 1) 100) i) (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ 100 (sqrt (/ i n))) (/ 100 (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (* 100 (/ (sqrt n) (* (cbrt i) (cbrt i)))) (/ 100 (* (cbrt i) (cbrt i))) (* 100 (/ (* (cbrt n) (cbrt n)) (sqrt i))) (* 100 (/ (sqrt n) (sqrt i))) (/ 100 (sqrt i)) (* (cbrt n) (* (cbrt n) 100)) (* 100 (sqrt n)) 100 100 (/ 100 i) 100 (* 100 (- (pow (+ (/ i n) 1) n) 1)) (* (/ (- (pow (+ (/ i n) 1) n) 1) i) 100) (* (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) (cbrt 100)) (* (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) 10) (* 100 (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) (* 100 (- (pow (+ (/ i n) 1) n) 1)) (real->posit16 (* 100 (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)))) 0 (/ (expm1 (* (log (/ i n)) n)) (/ i n)) (* (/ n i) (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n))) (+ i (fma (* i i) 1/2 1)) (exp (* (log (/ i n)) n)) (exp (* (- (log (/ -1 n)) (log (/ -1 i))) n)) (+ (fma 1/2 (* i i) (* (* 1/6 i) (* i i))) i) (expm1 (* (log (/ i n)) n)) (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)) 0 (* (/ (expm1 (* (log (/ i n)) n)) (/ i n)) 100) (/ (* 100 n) (/ i (expm1 (* (- (log (/ -1 n)) (log (/ -1 i))) n)))) 14.623 * * * [progress]: adding candidates to table 17.613 * * [progress]: iteration 2 / 4 17.613 * * * [progress]: picking best candidate 17.632 * * * * [pick]: Picked # 17.632 * * * [progress]: localizing error 17.655 * * * [progress]: generating rewritten candidates 17.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 17.683 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 17.688 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 17.689 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 17.707 * * * [progress]: generating series expansions 17.707 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 17.707 * [backup-simplify]: Simplify (/ (- (exp (* n (log1p (/ i n)))) 1) (/ i n)) into (/ (* (- (exp (* (log1p (/ i n)) n)) 1) n) i) 17.707 * [approximate]: Taking taylor expansion of (/ (* (- (exp (* (log1p (/ i n)) n)) 1) n) i) in (n i) around 0 17.707 * [taylor]: Taking taylor expansion of (/ (* (- (exp (* (log1p (/ i n)) n)) 1) n) i) in i 17.707 * [taylor]: Taking taylor expansion of (* (- (exp (* (log1p (/ i n)) n)) 1) n) in i 17.707 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in i 17.707 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i 17.707 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i 17.707 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i 17.707 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 17.707 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i 17.707 * [taylor]: Taking taylor expansion of 1 in i 17.707 * [backup-simplify]: Simplify 1 into 1 17.707 * [taylor]: Taking taylor expansion of (/ i n) in i 17.707 * [taylor]: Taking taylor expansion of i in i 17.707 * [backup-simplify]: Simplify 0 into 0 17.707 * [backup-simplify]: Simplify 1 into 1 17.707 * [taylor]: Taking taylor expansion of n in i 17.707 * [backup-simplify]: Simplify n into n 17.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.708 * [backup-simplify]: Simplify (+ 1 0) into 1 17.708 * [backup-simplify]: Simplify (log 1) into 0 17.708 * [taylor]: Taking taylor expansion of n in i 17.708 * [backup-simplify]: Simplify n into n 17.708 * [backup-simplify]: Simplify (* 0 n) into 0 17.708 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 17.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 17.709 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1 17.709 * [backup-simplify]: Simplify (exp 0) into 1 17.709 * [taylor]: Taking taylor expansion of 1 in i 17.709 * [backup-simplify]: Simplify 1 into 1 17.709 * [taylor]: Taking taylor expansion of n in i 17.709 * [backup-simplify]: Simplify n into n 17.709 * [taylor]: Taking taylor expansion of i in i 17.709 * [backup-simplify]: Simplify 0 into 0 17.709 * [backup-simplify]: Simplify 1 into 1 17.709 * [backup-simplify]: Simplify (- 1) into -1 17.710 * [backup-simplify]: Simplify (+ 1 -1) into 0 17.710 * [backup-simplify]: Simplify (* 0 n) into 0 17.710 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 17.710 * [backup-simplify]: Simplify (- 0) into 0 17.711 * [backup-simplify]: Simplify (+ 1 0) into 1 17.711 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 17.711 * [backup-simplify]: Simplify (/ n 1) into n 17.711 * [taylor]: Taking taylor expansion of (/ (* (- (exp (* (log1p (/ i n)) n)) 1) n) i) in n 17.711 * [taylor]: Taking taylor expansion of (* (- (exp (* (log1p (/ i n)) n)) 1) n) in n 17.711 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in n 17.711 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n 17.711 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 17.711 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 17.711 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 17.711 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 17.711 * [taylor]: Taking taylor expansion of 1 in n 17.711 * [backup-simplify]: Simplify 1 into 1 17.711 * [taylor]: Taking taylor expansion of (/ i n) in n 17.711 * [taylor]: Taking taylor expansion of i in n 17.711 * [backup-simplify]: Simplify i into i 17.711 * [taylor]: Taking taylor expansion of n in n 17.711 * [backup-simplify]: Simplify 0 into 0 17.711 * [backup-simplify]: Simplify 1 into 1 17.711 * [backup-simplify]: Simplify (/ i 1) into i 17.711 * [backup-simplify]: Simplify (+ 0 i) into i 17.711 * [backup-simplify]: Simplify (log i) into (log i) 17.711 * [taylor]: Taking taylor expansion of n in n 17.711 * [backup-simplify]: Simplify 0 into 0 17.711 * [backup-simplify]: Simplify 1 into 1 17.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.712 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0 17.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 17.713 * [backup-simplify]: Simplify (+ 1 0) into 1 17.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 17.714 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n)) 17.714 * [backup-simplify]: Simplify (exp 0) into 1 17.714 * [taylor]: Taking taylor expansion of 1 in n 17.714 * [backup-simplify]: Simplify 1 into 1 17.714 * [taylor]: Taking taylor expansion of n in n 17.714 * [backup-simplify]: Simplify 0 into 0 17.714 * [backup-simplify]: Simplify 1 into 1 17.714 * [taylor]: Taking taylor expansion of i in n 17.714 * [backup-simplify]: Simplify i into i 17.714 * [backup-simplify]: Simplify (- 1) into -1 17.715 * [backup-simplify]: Simplify (+ 1 -1) into 0 17.715 * [backup-simplify]: Simplify (* 0 0) into 0 17.715 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 17.715 * [backup-simplify]: Simplify (- 0) into 0 17.715 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 17.716 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 17.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.717 * [backup-simplify]: Simplify (+ 0 0) into 0 17.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) 17.718 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i) 17.718 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 17.719 * [backup-simplify]: Simplify (- 0) into 0 17.719 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 17.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) 17.723 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 17.723 * [taylor]: Taking taylor expansion of (/ (* (- (exp (* (log1p (/ i n)) n)) 1) n) i) in n 17.723 * [taylor]: Taking taylor expansion of (* (- (exp (* (log1p (/ i n)) n)) 1) n) in n 17.723 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in n 17.723 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n 17.723 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 17.723 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 17.723 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 17.723 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 17.723 * [taylor]: Taking taylor expansion of 1 in n 17.723 * [backup-simplify]: Simplify 1 into 1 17.723 * [taylor]: Taking taylor expansion of (/ i n) in n 17.724 * [taylor]: Taking taylor expansion of i in n 17.724 * [backup-simplify]: Simplify i into i 17.724 * [taylor]: Taking taylor expansion of n in n 17.724 * [backup-simplify]: Simplify 0 into 0 17.724 * [backup-simplify]: Simplify 1 into 1 17.724 * [backup-simplify]: Simplify (/ i 1) into i 17.724 * [backup-simplify]: Simplify (+ 0 i) into i 17.724 * [backup-simplify]: Simplify (log i) into (log i) 17.724 * [taylor]: Taking taylor expansion of n in n 17.724 * [backup-simplify]: Simplify 0 into 0 17.724 * [backup-simplify]: Simplify 1 into 1 17.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.724 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0 17.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 17.725 * [backup-simplify]: Simplify (+ 1 0) into 1 17.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 17.726 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n)) 17.726 * [backup-simplify]: Simplify (exp 0) into 1 17.726 * [taylor]: Taking taylor expansion of 1 in n 17.726 * [backup-simplify]: Simplify 1 into 1 17.726 * [taylor]: Taking taylor expansion of n in n 17.726 * [backup-simplify]: Simplify 0 into 0 17.726 * [backup-simplify]: Simplify 1 into 1 17.726 * [taylor]: Taking taylor expansion of i in n 17.726 * [backup-simplify]: Simplify i into i 17.726 * [backup-simplify]: Simplify (- 1) into -1 17.727 * [backup-simplify]: Simplify (+ 1 -1) into 0 17.727 * [backup-simplify]: Simplify (* 0 0) into 0 17.727 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 17.727 * [backup-simplify]: Simplify (- 0) into 0 17.727 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 17.728 * [backup-simplify]: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 17.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.729 * [backup-simplify]: Simplify (+ 0 0) into 0 17.730 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) 17.730 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i) 17.731 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 17.731 * [backup-simplify]: Simplify (- 0) into 0 17.731 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 17.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) 17.732 * [backup-simplify]: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) 17.732 * [taylor]: Taking taylor expansion of (/ (- (log i) (log n)) i) in i 17.732 * [taylor]: Taking taylor expansion of (- (log i) (log n)) in i 17.732 * [taylor]: Taking taylor expansion of (log i) in i 17.732 * [taylor]: Taking taylor expansion of i in i 17.732 * [backup-simplify]: Simplify 0 into 0 17.732 * [backup-simplify]: Simplify 1 into 1 17.733 * [backup-simplify]: Simplify (log 1) into 0 17.733 * [taylor]: Taking taylor expansion of (log n) in i 17.733 * [taylor]: Taking taylor expansion of n in i 17.733 * [backup-simplify]: Simplify n into n 17.733 * [backup-simplify]: Simplify (log n) into (log n) 17.733 * [taylor]: Taking taylor expansion of i in i 17.733 * [backup-simplify]: Simplify 0 into 0 17.733 * [backup-simplify]: Simplify 1 into 1 17.733 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.733 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.733 * [backup-simplify]: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) 17.733 * [backup-simplify]: Simplify (/ (- (log i) (log n)) 1) into (- (log i) (log n)) 17.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.735 * [backup-simplify]: Simplify (- 0) into 0 17.735 * [backup-simplify]: Simplify (+ 0 0) into 0 17.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)))) into 0 17.735 * [backup-simplify]: Simplify 0 into 0 17.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.737 * [backup-simplify]: Simplify (+ 0 0) into 0 17.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) 17.739 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 0) (+ (* (/ -1/2 (pow i 2)) 1) (* (/ 1/3 (pow i 3)) 0)))) into (- (* 1/2 (/ 1 (pow i 2)))) 17.739 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 17.740 * [backup-simplify]: Simplify (- 0) into 0 17.741 * [backup-simplify]: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 17.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 1) (* (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 1/2 (pow (log i) 2)))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 17.743 * [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))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)))) into (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) 17.743 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) in i 17.743 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) in i 17.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (log i) 2) i)) in i 17.743 * [taylor]: Taking taylor expansion of 1/2 in i 17.743 * [backup-simplify]: Simplify 1/2 into 1/2 17.743 * [taylor]: Taking taylor expansion of (/ (pow (log i) 2) i) in i 17.743 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 17.744 * [taylor]: Taking taylor expansion of (log i) in i 17.744 * [taylor]: Taking taylor expansion of i in i 17.744 * [backup-simplify]: Simplify 0 into 0 17.744 * [backup-simplify]: Simplify 1 into 1 17.744 * [backup-simplify]: Simplify (log 1) into 0 17.744 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.744 * [taylor]: Taking taylor expansion of i in i 17.744 * [backup-simplify]: Simplify 0 into 0 17.744 * [backup-simplify]: Simplify 1 into 1 17.744 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.745 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.745 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 17.745 * [backup-simplify]: Simplify (/ (pow (log i) 2) 1) into (pow (log i) 2) 17.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i))) in i 17.745 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 17.745 * [taylor]: Taking taylor expansion of (pow i 2) in i 17.745 * [taylor]: Taking taylor expansion of i in i 17.745 * [backup-simplify]: Simplify 0 into 0 17.745 * [backup-simplify]: Simplify 1 into 1 17.745 * [backup-simplify]: Simplify (* 1 1) into 1 17.745 * [backup-simplify]: Simplify (/ 1 1) into 1 17.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (log n) 2) i)) in i 17.746 * [taylor]: Taking taylor expansion of 1/2 in i 17.746 * [backup-simplify]: Simplify 1/2 into 1/2 17.746 * [taylor]: Taking taylor expansion of (/ (pow (log n) 2) i) in i 17.746 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 17.746 * [taylor]: Taking taylor expansion of (log n) in i 17.746 * [taylor]: Taking taylor expansion of n in i 17.746 * [backup-simplify]: Simplify n into n 17.746 * [backup-simplify]: Simplify (log n) into (log n) 17.746 * [taylor]: Taking taylor expansion of i in i 17.746 * [backup-simplify]: Simplify 0 into 0 17.746 * [backup-simplify]: Simplify 1 into 1 17.746 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.746 * [backup-simplify]: Simplify (/ (pow (log n) 2) 1) into (pow (log n) 2) 17.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i))) in i 17.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (log n) (log i)) i)) in i 17.746 * [taylor]: Taking taylor expansion of 1/2 in i 17.746 * [backup-simplify]: Simplify 1/2 into 1/2 17.746 * [taylor]: Taking taylor expansion of (/ (* (log n) (log i)) i) in i 17.746 * [taylor]: Taking taylor expansion of (* (log n) (log i)) in i 17.746 * [taylor]: Taking taylor expansion of (log n) in i 17.746 * [taylor]: Taking taylor expansion of n in i 17.746 * [backup-simplify]: Simplify n into n 17.746 * [backup-simplify]: Simplify (log n) into (log n) 17.746 * [taylor]: Taking taylor expansion of (log i) in i 17.746 * [taylor]: Taking taylor expansion of i in i 17.746 * [backup-simplify]: Simplify 0 into 0 17.746 * [backup-simplify]: Simplify 1 into 1 17.746 * [backup-simplify]: Simplify (log 1) into 0 17.746 * [taylor]: Taking taylor expansion of i in i 17.746 * [backup-simplify]: Simplify 0 into 0 17.746 * [backup-simplify]: Simplify 1 into 1 17.747 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.747 * [backup-simplify]: Simplify (* (log n) (log i)) into (* (log n) (log i)) 17.747 * [backup-simplify]: Simplify (/ (* (log n) (log i)) 1) into (* (log n) (log i)) 17.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (log i) (log n)) i)) in i 17.747 * [taylor]: Taking taylor expansion of 1/2 in i 17.747 * [backup-simplify]: Simplify 1/2 into 1/2 17.747 * [taylor]: Taking taylor expansion of (/ (* (log i) (log n)) i) in i 17.747 * [taylor]: Taking taylor expansion of (* (log i) (log n)) in i 17.747 * [taylor]: Taking taylor expansion of (log i) in i 17.747 * [taylor]: Taking taylor expansion of i in i 17.747 * [backup-simplify]: Simplify 0 into 0 17.747 * [backup-simplify]: Simplify 1 into 1 17.747 * [backup-simplify]: Simplify (log 1) into 0 17.747 * [taylor]: Taking taylor expansion of (log n) in i 17.747 * [taylor]: Taking taylor expansion of n in i 17.747 * [backup-simplify]: Simplify n into n 17.747 * [backup-simplify]: Simplify (log n) into (log n) 17.747 * [taylor]: Taking taylor expansion of i in i 17.747 * [backup-simplify]: Simplify 0 into 0 17.747 * [backup-simplify]: Simplify 1 into 1 17.747 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.748 * [backup-simplify]: Simplify (* (log i) (log n)) into (* (log i) (log n)) 17.748 * [backup-simplify]: Simplify (/ (* (log i) (log n)) 1) into (* (log i) (log n)) 17.748 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.749 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.749 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (log i))) into 0 17.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)))) into 0 17.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (log i) 2))) into 0 17.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.752 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (log n))) into 0 17.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)))) into 0 17.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (log n) 2))) into 0 17.753 * [backup-simplify]: Simplify (+ 0 0) into 0 17.754 * [backup-simplify]: Simplify (+ 0 0) into 0 17.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.755 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.755 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (log i))) into 0 17.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)))) into 0 17.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (log n) (log i)))) into 0 17.756 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.758 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (log n))) into 0 17.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)))) into 0 17.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (log i) (log n)))) into 0 17.759 * [backup-simplify]: Simplify (+ 0 0) into 0 17.759 * [backup-simplify]: Simplify (- 0) into 0 17.759 * [backup-simplify]: Simplify (+ 0 0) into 0 17.759 * [backup-simplify]: Simplify 0 into 0 17.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.762 * [backup-simplify]: Simplify (- 0) into 0 17.762 * [backup-simplify]: Simplify (+ 0 0) into 0 17.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.763 * [backup-simplify]: Simplify 0 into 0 17.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 17.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.765 * [backup-simplify]: Simplify (+ 0 0) into 0 17.768 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow i 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow i 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow i 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow i 1)))) 24) into (/ -1/4 (pow i 4)) 17.768 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 0) (+ (* (/ -1/2 (pow i 2)) 0) (+ (* (/ 1/3 (pow i 3)) 1) (* (/ -1/4 (pow i 4)) 0))))) into (* 1/3 (/ 1 (pow i 3))) 17.769 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 4) 24)) (* (/ (pow (- (log i) (log n)) 2) 2) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)) (* (/ (pow (/ 1 i) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (- (+ (* 1/8 (* (pow (log i) 2) (pow (log n) 2))) (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (* 1/2 (/ (log n) (pow i 2))) (+ (* 1/2 (/ 1 (pow i 2))) (+ (* 1/24 (pow (log n) 4)) (+ (* 1/2 (/ (pow (log n) 2) i)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (* 1/24 (pow (log i) 4)))))))))) (+ (* 1/2 (/ (* (log i) (log n)) i)) (+ (* 1/24 (* (log i) (pow (log n) 3))) (+ (* 1/2 (/ (log i) (pow i 2))) (+ (* 1/8 (* (pow (log i) 3) (log n))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (* 1/2 (/ (* (log n) (log i)) i))))))))) 17.769 * [backup-simplify]: Simplify (- 0) into 0 17.773 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow (log i) 2) (pow (log n) 2))) (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (* 1/2 (/ (log n) (pow i 2))) (+ (* 1/2 (/ 1 (pow i 2))) (+ (* 1/24 (pow (log n) 4)) (+ (* 1/2 (/ (pow (log n) 2) i)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (* 1/24 (pow (log i) 4)))))))))) (+ (* 1/2 (/ (* (log i) (log n)) i)) (+ (* 1/24 (* (log i) (pow (log n) 3))) (+ (* 1/2 (/ (log i) (pow i 2))) (+ (* 1/8 (* (pow (log i) 3) (log n))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (* 1/2 (/ (* (log n) (log i)) i))))))))) 0) into (- (+ (* 1/2 (/ (log n) (pow i 2))) (+ (* 1/2 (/ (pow (log n) 2) i)) (+ (* 1/8 (* (pow (log i) 2) (pow (log n) 2))) (+ (* 1/2 (/ 1 (pow i 2))) (+ (* 1/24 (pow (log n) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/2 (/ (pow (log i) 2) i)))))))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/2 (/ (* (log i) (log n)) i)) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (+ (* 1/8 (* (pow (log i) 3) (log n))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (log i) (pow i 2)))))))))) 17.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) (+ (* (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 1) (* (- (+ (* 1/2 (/ (log n) (pow i 2))) (+ (* 1/2 (/ (pow (log n) 2) i)) (+ (* 1/8 (* (pow (log i) 2) (pow (log n) 2))) (+ (* 1/2 (/ 1 (pow i 2))) (+ (* 1/24 (pow (log n) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/2 (/ (pow (log i) 2) i)))))))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/2 (/ (* (log i) (log n)) i)) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (+ (* 1/8 (* (pow (log i) 3) (log n))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (log i) (pow i 2)))))))))) 0))))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 17.782 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)) (* (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) (/ 0 i)))) into (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) 17.782 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) in i 17.782 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) in i 17.782 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) in i 17.782 * [taylor]: Taking taylor expansion of 1/6 in i 17.782 * [backup-simplify]: Simplify 1/6 into 1/6 17.782 * [taylor]: Taking taylor expansion of (/ (* (log i) (pow (log n) 2)) i) in i 17.782 * [taylor]: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i 17.782 * [taylor]: Taking taylor expansion of (log i) in i 17.782 * [taylor]: Taking taylor expansion of i in i 17.782 * [backup-simplify]: Simplify 0 into 0 17.782 * [backup-simplify]: Simplify 1 into 1 17.782 * [backup-simplify]: Simplify (log 1) into 0 17.783 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 17.783 * [taylor]: Taking taylor expansion of (log n) in i 17.783 * [taylor]: Taking taylor expansion of n in i 17.783 * [backup-simplify]: Simplify n into n 17.783 * [backup-simplify]: Simplify (log n) into (log n) 17.783 * [taylor]: Taking taylor expansion of i in i 17.783 * [backup-simplify]: Simplify 0 into 0 17.783 * [backup-simplify]: Simplify 1 into 1 17.783 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.783 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.783 * [backup-simplify]: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) 17.783 * [backup-simplify]: Simplify (/ (* (log i) (pow (log n) 2)) 1) into (* (log i) (pow (log n) 2)) 17.783 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2)))) in i 17.783 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow (log i) 3) i)) in i 17.783 * [taylor]: Taking taylor expansion of 1/6 in i 17.783 * [backup-simplify]: Simplify 1/6 into 1/6 17.783 * [taylor]: Taking taylor expansion of (/ (pow (log i) 3) i) in i 17.783 * [taylor]: Taking taylor expansion of (pow (log i) 3) in i 17.783 * [taylor]: Taking taylor expansion of (log i) in i 17.783 * [taylor]: Taking taylor expansion of i in i 17.783 * [backup-simplify]: Simplify 0 into 0 17.783 * [backup-simplify]: Simplify 1 into 1 17.784 * [backup-simplify]: Simplify (log 1) into 0 17.784 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.784 * [taylor]: Taking taylor expansion of i in i 17.784 * [backup-simplify]: Simplify 0 into 0 17.784 * [backup-simplify]: Simplify 1 into 1 17.784 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.784 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.785 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.785 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 17.785 * [backup-simplify]: Simplify (* (log i) (pow (log i) 2)) into (pow (log i) 3) 17.785 * [backup-simplify]: Simplify (/ (pow (log i) 3) 1) into (pow (log i) 3) 17.785 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))) in i 17.785 * [taylor]: Taking taylor expansion of (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) in i 17.785 * [taylor]: Taking taylor expansion of 1/3 in i 17.785 * [backup-simplify]: Simplify 1/3 into 1/3 17.785 * [taylor]: Taking taylor expansion of (/ (* (pow (log n) 2) (log i)) i) in i 17.785 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i 17.785 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 17.785 * [taylor]: Taking taylor expansion of (log n) in i 17.785 * [taylor]: Taking taylor expansion of n in i 17.785 * [backup-simplify]: Simplify n into n 17.785 * [backup-simplify]: Simplify (log n) into (log n) 17.785 * [taylor]: Taking taylor expansion of (log i) in i 17.785 * [taylor]: Taking taylor expansion of i in i 17.785 * [backup-simplify]: Simplify 0 into 0 17.785 * [backup-simplify]: Simplify 1 into 1 17.785 * [backup-simplify]: Simplify (log 1) into 0 17.785 * [taylor]: Taking taylor expansion of i in i 17.785 * [backup-simplify]: Simplify 0 into 0 17.785 * [backup-simplify]: Simplify 1 into 1 17.786 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.786 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.786 * [backup-simplify]: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) 17.786 * [backup-simplify]: Simplify (/ (* (pow (log n) 2) (log i)) 1) into (* (pow (log n) 2) (log i)) 17.786 * [taylor]: Taking taylor expansion of (/ (log i) (pow i 2)) in i 17.786 * [taylor]: Taking taylor expansion of (log i) in i 17.786 * [taylor]: Taking taylor expansion of i in i 17.786 * [backup-simplify]: Simplify 0 into 0 17.786 * [backup-simplify]: Simplify 1 into 1 17.786 * [backup-simplify]: Simplify (log 1) into 0 17.786 * [taylor]: Taking taylor expansion of (pow i 2) in i 17.786 * [taylor]: Taking taylor expansion of i in i 17.786 * [backup-simplify]: Simplify 0 into 0 17.786 * [backup-simplify]: Simplify 1 into 1 17.787 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.787 * [backup-simplify]: Simplify (* 1 1) into 1 17.787 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.787 * [backup-simplify]: Simplify (/ (log i) 1) into (log i) 17.787 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))))) in i 17.787 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) in i 17.787 * [taylor]: Taking taylor expansion of 1/6 in i 17.787 * [backup-simplify]: Simplify 1/6 into 1/6 17.787 * [taylor]: Taking taylor expansion of (/ (* (log n) (pow (log i) 2)) i) in i 17.787 * [taylor]: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i 17.787 * [taylor]: Taking taylor expansion of (log n) in i 17.787 * [taylor]: Taking taylor expansion of n in i 17.787 * [backup-simplify]: Simplify n into n 17.787 * [backup-simplify]: Simplify (log n) into (log n) 17.787 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 17.787 * [taylor]: Taking taylor expansion of (log i) in i 17.787 * [taylor]: Taking taylor expansion of i in i 17.787 * [backup-simplify]: Simplify 0 into 0 17.787 * [backup-simplify]: Simplify 1 into 1 17.788 * [backup-simplify]: Simplify (log 1) into 0 17.788 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.788 * [taylor]: Taking taylor expansion of i in i 17.788 * [backup-simplify]: Simplify 0 into 0 17.788 * [backup-simplify]: Simplify 1 into 1 17.788 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.789 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.789 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 17.789 * [backup-simplify]: Simplify (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) 17.789 * [backup-simplify]: Simplify (/ (* (log n) (pow (log i) 2)) 1) into (* (log n) (pow (log i) 2)) 17.789 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))) in i 17.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow i 3))) in i 17.789 * [taylor]: Taking taylor expansion of 1/2 in i 17.789 * [backup-simplify]: Simplify 1/2 into 1/2 17.789 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i 17.789 * [taylor]: Taking taylor expansion of (pow i 3) in i 17.789 * [taylor]: Taking taylor expansion of i in i 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [backup-simplify]: Simplify 1 into 1 17.789 * [backup-simplify]: Simplify (* 1 1) into 1 17.789 * [backup-simplify]: Simplify (* 1 1) into 1 17.790 * [backup-simplify]: Simplify (/ 1 1) into 1 17.790 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))) in i 17.790 * [taylor]: Taking taylor expansion of (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) in i 17.790 * [taylor]: Taking taylor expansion of 1/3 in i 17.790 * [backup-simplify]: Simplify 1/3 into 1/3 17.790 * [taylor]: Taking taylor expansion of (/ (* (pow (log i) 2) (log n)) i) in i 17.790 * [taylor]: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i 17.790 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 17.790 * [taylor]: Taking taylor expansion of (log i) in i 17.790 * [taylor]: Taking taylor expansion of i in i 17.790 * [backup-simplify]: Simplify 0 into 0 17.790 * [backup-simplify]: Simplify 1 into 1 17.790 * [backup-simplify]: Simplify (log 1) into 0 17.790 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.790 * [taylor]: Taking taylor expansion of (log n) in i 17.790 * [taylor]: Taking taylor expansion of n in i 17.790 * [backup-simplify]: Simplify n into n 17.790 * [backup-simplify]: Simplify (log n) into (log n) 17.790 * [taylor]: Taking taylor expansion of i in i 17.790 * [backup-simplify]: Simplify 0 into 0 17.790 * [backup-simplify]: Simplify 1 into 1 17.791 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.791 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.791 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 17.791 * [backup-simplify]: Simplify (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) 17.791 * [backup-simplify]: Simplify (/ (* (pow (log i) 2) (log n)) 1) into (* (pow (log i) 2) (log n)) 17.791 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))) in i 17.791 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow (log n) 3) i)) in i 17.791 * [taylor]: Taking taylor expansion of 1/6 in i 17.791 * [backup-simplify]: Simplify 1/6 into 1/6 17.791 * [taylor]: Taking taylor expansion of (/ (pow (log n) 3) i) in i 17.791 * [taylor]: Taking taylor expansion of (pow (log n) 3) in i 17.791 * [taylor]: Taking taylor expansion of (log n) in i 17.791 * [taylor]: Taking taylor expansion of n in i 17.791 * [backup-simplify]: Simplify n into n 17.791 * [backup-simplify]: Simplify (log n) into (log n) 17.791 * [taylor]: Taking taylor expansion of i in i 17.791 * [backup-simplify]: Simplify 0 into 0 17.791 * [backup-simplify]: Simplify 1 into 1 17.791 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.792 * [backup-simplify]: Simplify (* (log n) (pow (log n) 2)) into (pow (log n) 3) 17.792 * [backup-simplify]: Simplify (/ (pow (log n) 3) 1) into (pow (log n) 3) 17.792 * [taylor]: Taking taylor expansion of (/ (log n) (pow i 2)) in i 17.792 * [taylor]: Taking taylor expansion of (log n) in i 17.792 * [taylor]: Taking taylor expansion of n in i 17.792 * [backup-simplify]: Simplify n into n 17.792 * [backup-simplify]: Simplify (log n) into (log n) 17.792 * [taylor]: Taking taylor expansion of (pow i 2) in i 17.792 * [taylor]: Taking taylor expansion of i in i 17.792 * [backup-simplify]: Simplify 0 into 0 17.792 * [backup-simplify]: Simplify 1 into 1 17.792 * [backup-simplify]: Simplify (* 1 1) into 1 17.792 * [backup-simplify]: Simplify (/ (log n) 1) into (log n) 17.792 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.793 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (log n))) into 0 17.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.794 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (pow (log n) 2))) into 0 17.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log i) (pow (log n) 2)) (/ 0 1)))) into 0 17.795 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* (log i) (pow (log n) 2)))) into 0 17.795 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.795 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.796 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.796 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (log i))) into 0 17.796 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (pow (log i) 2))) into 0 17.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log i) 3) (/ 0 1)))) into 0 17.797 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow (log i) 3))) into 0 17.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.798 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (log n))) into 0 17.799 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.799 * [backup-simplify]: Simplify (+ (* (pow (log n) 2) 0) (* 0 (log i))) into 0 17.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (log n) 2) (log i)) (/ 0 1)))) into 0 17.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* (pow (log n) 2) (log i)))) into 0 17.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 17.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.808 * [backup-simplify]: Simplify (+ 0 0) into 0 17.808 * [backup-simplify]: Simplify (+ 0 0) into 0 17.808 * [backup-simplify]: Simplify (+ 0 0) into 0 17.809 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.810 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.810 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (log i))) into 0 17.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.810 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (pow (log i) 2))) into 0 17.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log n) (pow (log i) 2)) (/ 0 1)))) into 0 17.811 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* (log n) (pow (log i) 2)))) into 0 17.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.818 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.819 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.819 * [backup-simplify]: Simplify (+ (* (log i) 0) (* 0 (log i))) into 0 17.819 * [backup-simplify]: Simplify (+ (* (pow (log i) 2) 0) (* 0 (log n))) into 0 17.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (log i) 2) (log n)) (/ 0 1)))) into 0 17.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* (pow (log i) 2) (log n)))) into 0 17.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.821 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (log n))) into 0 17.821 * [backup-simplify]: Simplify (+ (* (log n) 0) (* 0 (pow (log n) 2))) into 0 17.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log n) 3) (/ 0 1)))) into 0 17.822 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow (log n) 3))) into 0 17.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 17.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.826 * [backup-simplify]: Simplify (+ 0 0) into 0 17.826 * [backup-simplify]: Simplify (+ 0 0) into 0 17.826 * [backup-simplify]: Simplify (+ 0 0) into 0 17.826 * [backup-simplify]: Simplify (+ 0 0) into 0 17.827 * [backup-simplify]: Simplify (- 0) into 0 17.827 * [backup-simplify]: Simplify (+ 0 0) into 0 17.827 * [backup-simplify]: Simplify 0 into 0 17.827 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.830 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.830 * [backup-simplify]: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log i)))) into 0 17.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log i) 2)))) into 0 17.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.834 * [backup-simplify]: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log n)))) into 0 17.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log n) 2)))) into 0 17.836 * [backup-simplify]: Simplify (+ 0 0) into 0 17.836 * [backup-simplify]: Simplify (+ 0 0) into 0 17.837 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.838 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.839 * [backup-simplify]: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log i)))) into 0 17.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log n) (log i))))) into 0 17.841 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 17.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.844 * [backup-simplify]: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log n)))) into 0 17.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log i) (log n))))) into 0 17.845 * [backup-simplify]: Simplify (+ 0 0) into 0 17.846 * [backup-simplify]: Simplify (- 0) into 0 17.846 * [backup-simplify]: Simplify (+ 0 0) into 0 17.846 * [backup-simplify]: Simplify 0 into 0 17.849 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.850 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 17.851 * [backup-simplify]: Simplify (- 0) into 0 17.851 * [backup-simplify]: Simplify (+ 0 0) into 0 17.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.852 * [backup-simplify]: Simplify 0 into 0 17.852 * [backup-simplify]: Simplify 0 into 0 17.852 * [backup-simplify]: Simplify (/ (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) (/ (/ 1 i) (/ 1 n))) into (/ (* i (- (exp (/ (log1p (/ n i)) n)) 1)) n) 17.852 * [approximate]: Taking taylor expansion of (/ (* i (- (exp (/ (log1p (/ n i)) n)) 1)) n) in (n i) around 0 17.852 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (/ (log1p (/ n i)) n)) 1)) n) in i 17.852 * [taylor]: Taking taylor expansion of (* i (- (exp (/ (log1p (/ n i)) n)) 1)) in i 17.852 * [taylor]: Taking taylor expansion of i in i 17.852 * [backup-simplify]: Simplify 0 into 0 17.852 * [backup-simplify]: Simplify 1 into 1 17.852 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in i 17.852 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i 17.852 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 17.852 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 17.852 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.852 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 17.852 * [taylor]: Taking taylor expansion of 1 in i 17.852 * [backup-simplify]: Simplify 1 into 1 17.852 * [taylor]: Taking taylor expansion of (/ n i) in i 17.852 * [taylor]: Taking taylor expansion of n in i 17.852 * [backup-simplify]: Simplify n into n 17.852 * [taylor]: Taking taylor expansion of i in i 17.852 * [backup-simplify]: Simplify 0 into 0 17.853 * [backup-simplify]: Simplify 1 into 1 17.853 * [backup-simplify]: Simplify (/ n 1) into n 17.853 * [backup-simplify]: Simplify (+ 0 n) into n 17.853 * [backup-simplify]: Simplify (log n) into (log n) 17.853 * [taylor]: Taking taylor expansion of n in i 17.853 * [backup-simplify]: Simplify n into n 17.853 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 17.853 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 17.853 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 17.853 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 17.853 * [taylor]: Taking taylor expansion of 1 in i 17.853 * [backup-simplify]: Simplify 1 into 1 17.853 * [taylor]: Taking taylor expansion of n in i 17.853 * [backup-simplify]: Simplify n into n 17.854 * [backup-simplify]: Simplify (- 1) into -1 17.854 * [backup-simplify]: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) 17.854 * [backup-simplify]: Simplify (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)) into 0 17.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 17.855 * [backup-simplify]: Simplify (+ 1 0) into 1 17.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 17.855 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2)) 17.855 * [backup-simplify]: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 17.856 * [backup-simplify]: Simplify (- 0) into 0 17.856 * [backup-simplify]: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 17.856 * [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) 17.856 * [backup-simplify]: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) 17.856 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (/ (log1p (/ n i)) n)) 1)) n) in n 17.856 * [taylor]: Taking taylor expansion of (* i (- (exp (/ (log1p (/ n i)) n)) 1)) in n 17.856 * [taylor]: Taking taylor expansion of i in n 17.856 * [backup-simplify]: Simplify i into i 17.856 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in n 17.856 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n 17.856 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 17.856 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 17.856 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.856 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 17.856 * [taylor]: Taking taylor expansion of 1 in n 17.856 * [backup-simplify]: Simplify 1 into 1 17.856 * [taylor]: Taking taylor expansion of (/ n i) in n 17.856 * [taylor]: Taking taylor expansion of n in n 17.856 * [backup-simplify]: Simplify 0 into 0 17.856 * [backup-simplify]: Simplify 1 into 1 17.856 * [taylor]: Taking taylor expansion of i in n 17.856 * [backup-simplify]: Simplify i into i 17.856 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 17.857 * [backup-simplify]: Simplify (+ 1 0) into 1 17.857 * [backup-simplify]: Simplify (log 1) into 0 17.857 * [taylor]: Taking taylor expansion of n in n 17.857 * [backup-simplify]: Simplify 0 into 0 17.857 * [backup-simplify]: Simplify 1 into 1 17.857 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 17.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 17.857 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 17.857 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.857 * [taylor]: Taking taylor expansion of 1 in n 17.857 * [backup-simplify]: Simplify 1 into 1 17.857 * [taylor]: Taking taylor expansion of n in n 17.857 * [backup-simplify]: Simplify 0 into 0 17.857 * [backup-simplify]: Simplify 1 into 1 17.858 * [backup-simplify]: Simplify (- 1) into -1 17.858 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 17.858 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 17.858 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 17.858 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (/ (log1p (/ n i)) n)) 1)) n) in n 17.858 * [taylor]: Taking taylor expansion of (* i (- (exp (/ (log1p (/ n i)) n)) 1)) in n 17.858 * [taylor]: Taking taylor expansion of i in n 17.858 * [backup-simplify]: Simplify i into i 17.858 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in n 17.858 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n 17.858 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 17.858 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 17.858 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.858 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 17.858 * [taylor]: Taking taylor expansion of 1 in n 17.858 * [backup-simplify]: Simplify 1 into 1 17.858 * [taylor]: Taking taylor expansion of (/ n i) in n 17.858 * [taylor]: Taking taylor expansion of n in n 17.858 * [backup-simplify]: Simplify 0 into 0 17.858 * [backup-simplify]: Simplify 1 into 1 17.858 * [taylor]: Taking taylor expansion of i in n 17.858 * [backup-simplify]: Simplify i into i 17.858 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 17.859 * [backup-simplify]: Simplify (+ 1 0) into 1 17.859 * [backup-simplify]: Simplify (log 1) into 0 17.859 * [taylor]: Taking taylor expansion of n in n 17.859 * [backup-simplify]: Simplify 0 into 0 17.859 * [backup-simplify]: Simplify 1 into 1 17.859 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 17.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 17.859 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 17.859 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.859 * [taylor]: Taking taylor expansion of 1 in n 17.859 * [backup-simplify]: Simplify 1 into 1 17.859 * [taylor]: Taking taylor expansion of n in n 17.859 * [backup-simplify]: Simplify 0 into 0 17.859 * [backup-simplify]: Simplify 1 into 1 17.860 * [backup-simplify]: Simplify (- 1) into -1 17.860 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 17.860 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 17.860 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 17.860 * [taylor]: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i 17.860 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 17.860 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.860 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.860 * [taylor]: Taking taylor expansion of i in i 17.860 * [backup-simplify]: Simplify 0 into 0 17.860 * [backup-simplify]: Simplify 1 into 1 17.860 * [backup-simplify]: Simplify (/ 1 1) into 1 17.860 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.860 * [taylor]: Taking taylor expansion of 1 in i 17.860 * [backup-simplify]: Simplify 1 into 1 17.860 * [taylor]: Taking taylor expansion of i in i 17.860 * [backup-simplify]: Simplify 0 into 0 17.860 * [backup-simplify]: Simplify 1 into 1 17.861 * [backup-simplify]: Simplify (- 1) into -1 17.861 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 17.861 * [backup-simplify]: Simplify (- 0) into 0 17.861 * [backup-simplify]: Simplify (+ 0 0) into 0 17.861 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) 17.861 * [backup-simplify]: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) 17.862 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 17.862 * [backup-simplify]: Simplify (+ 0 0) into 0 17.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 17.863 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 17.863 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 17.864 * [backup-simplify]: Simplify (- 0) into 0 17.864 * [backup-simplify]: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) 17.864 * [backup-simplify]: Simplify (+ (* i (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))) into (- (* 1/2 (/ (exp (/ 1 i)) i))) 17.864 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ (exp (/ 1 i)) i))) 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)))) into (- (* 1/2 (/ (exp (/ 1 i)) i))) 17.864 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ 1 i)) i))) in i 17.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ 1 i)) i)) in i 17.864 * [taylor]: Taking taylor expansion of 1/2 in i 17.864 * [backup-simplify]: Simplify 1/2 into 1/2 17.864 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) i) in i 17.864 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.864 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.865 * [taylor]: Taking taylor expansion of i in i 17.865 * [backup-simplify]: Simplify 0 into 0 17.865 * [backup-simplify]: Simplify 1 into 1 17.865 * [backup-simplify]: Simplify (/ 1 1) into 1 17.865 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.865 * [taylor]: Taking taylor expansion of i in i 17.865 * [backup-simplify]: Simplify 0 into 0 17.865 * [backup-simplify]: Simplify 1 into 1 17.865 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) into 0 17.867 * [backup-simplify]: Simplify (- 0) into 0 17.867 * [backup-simplify]: Simplify 0 into 0 17.867 * [backup-simplify]: Simplify (- 0) into 0 17.868 * [backup-simplify]: Simplify (+ 0 0) into 0 17.868 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 17.868 * [backup-simplify]: Simplify 0 into 0 17.868 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 17.868 * [backup-simplify]: Simplify (+ 0 0) into 0 17.870 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 17.871 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 17.871 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 17.872 * [backup-simplify]: Simplify (- 0) into 0 17.872 * [backup-simplify]: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) 17.872 * [backup-simplify]: Simplify (+ (* i (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1)))) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) 17.873 * [backup-simplify]: Simplify (- (/ (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 1)))) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) 17.873 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) in i 17.873 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) in i 17.873 * [taylor]: Taking taylor expansion of 1/3 in i 17.873 * [backup-simplify]: Simplify 1/3 into 1/3 17.873 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i 17.873 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.873 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.873 * [taylor]: Taking taylor expansion of i in i 17.873 * [backup-simplify]: Simplify 0 into 0 17.873 * [backup-simplify]: Simplify 1 into 1 17.873 * [backup-simplify]: Simplify (/ 1 1) into 1 17.874 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.874 * [taylor]: Taking taylor expansion of (pow i 2) in i 17.874 * [taylor]: Taking taylor expansion of i in i 17.874 * [backup-simplify]: Simplify 0 into 0 17.874 * [backup-simplify]: Simplify 1 into 1 17.874 * [backup-simplify]: Simplify (* 1 1) into 1 17.874 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.874 * [taylor]: Taking taylor expansion of (* 1/8 (/ (exp (/ 1 i)) (pow i 3))) in i 17.874 * [taylor]: Taking taylor expansion of 1/8 in i 17.874 * [backup-simplify]: Simplify 1/8 into 1/8 17.874 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i 17.874 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.874 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.874 * [taylor]: Taking taylor expansion of i in i 17.874 * [backup-simplify]: Simplify 0 into 0 17.874 * [backup-simplify]: Simplify 1 into 1 17.874 * [backup-simplify]: Simplify (/ 1 1) into 1 17.874 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.874 * [taylor]: Taking taylor expansion of (pow i 3) in i 17.874 * [taylor]: Taking taylor expansion of i in i 17.874 * [backup-simplify]: Simplify 0 into 0 17.874 * [backup-simplify]: Simplify 1 into 1 17.875 * [backup-simplify]: Simplify (* 1 1) into 1 17.875 * [backup-simplify]: Simplify (* 1 1) into 1 17.875 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 17.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.889 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 17.890 * [backup-simplify]: Simplify (+ 0 0) into 0 17.890 * [backup-simplify]: Simplify 0 into 0 17.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 17.896 * [backup-simplify]: Simplify (- 0) into 0 17.896 * [backup-simplify]: Simplify 0 into 0 17.896 * [backup-simplify]: Simplify (- 0) into 0 17.896 * [backup-simplify]: Simplify (+ 0 0) into 0 17.897 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.897 * [backup-simplify]: Simplify 0 into 0 17.897 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 17.897 * [backup-simplify]: Simplify (+ 0 0) into 0 17.900 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) 17.901 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow i 4)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)) (* (* 1/3 (/ 1 (pow i 3))) (/ 0 1)))) into (- (* 1/4 (/ 1 (pow i 4)))) 17.902 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 17.902 * [backup-simplify]: Simplify (- 0) into 0 17.902 * [backup-simplify]: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) 17.903 * [backup-simplify]: Simplify (+ (* i (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5))))))) (+ (* 0 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))))) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) 17.905 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 1)) (* (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) (/ 0 1)))) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) 17.905 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) in i 17.905 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5))))) in i 17.905 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) in i 17.905 * [taylor]: Taking taylor expansion of 1/4 in i 17.905 * [backup-simplify]: Simplify 1/4 into 1/4 17.905 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i 17.905 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.905 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.905 * [taylor]: Taking taylor expansion of i in i 17.905 * [backup-simplify]: Simplify 0 into 0 17.905 * [backup-simplify]: Simplify 1 into 1 17.905 * [backup-simplify]: Simplify (/ 1 1) into 1 17.905 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.905 * [taylor]: Taking taylor expansion of (pow i 3) in i 17.905 * [taylor]: Taking taylor expansion of i in i 17.905 * [backup-simplify]: Simplify 0 into 0 17.905 * [backup-simplify]: Simplify 1 into 1 17.906 * [backup-simplify]: Simplify (* 1 1) into 1 17.906 * [backup-simplify]: Simplify (* 1 1) into 1 17.906 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.906 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))) in i 17.906 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) in i 17.906 * [taylor]: Taking taylor expansion of 1/6 in i 17.906 * [backup-simplify]: Simplify 1/6 into 1/6 17.906 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i 17.906 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.906 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.906 * [taylor]: Taking taylor expansion of i in i 17.906 * [backup-simplify]: Simplify 0 into 0 17.906 * [backup-simplify]: Simplify 1 into 1 17.906 * [backup-simplify]: Simplify (/ 1 1) into 1 17.906 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.906 * [taylor]: Taking taylor expansion of (pow i 4) in i 17.906 * [taylor]: Taking taylor expansion of i in i 17.906 * [backup-simplify]: Simplify 0 into 0 17.906 * [backup-simplify]: Simplify 1 into 1 17.907 * [backup-simplify]: Simplify (* 1 1) into 1 17.907 * [backup-simplify]: Simplify (* 1 1) into 1 17.907 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.907 * [taylor]: Taking taylor expansion of (* 1/48 (/ (exp (/ 1 i)) (pow i 5))) in i 17.907 * [taylor]: Taking taylor expansion of 1/48 in i 17.907 * [backup-simplify]: Simplify 1/48 into 1/48 17.907 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i 17.907 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 17.907 * [taylor]: Taking taylor expansion of (/ 1 i) in i 17.907 * [taylor]: Taking taylor expansion of i in i 17.907 * [backup-simplify]: Simplify 0 into 0 17.907 * [backup-simplify]: Simplify 1 into 1 17.907 * [backup-simplify]: Simplify (/ 1 1) into 1 17.907 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 17.907 * [taylor]: Taking taylor expansion of (pow i 5) in i 17.907 * [taylor]: Taking taylor expansion of i in i 17.907 * [backup-simplify]: Simplify 0 into 0 17.907 * [backup-simplify]: Simplify 1 into 1 17.908 * [backup-simplify]: Simplify (* 1 1) into 1 17.908 * [backup-simplify]: Simplify (* 1 1) into 1 17.908 * [backup-simplify]: Simplify (* 1 1) into 1 17.908 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 17.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.918 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 17.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 17.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 17.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.931 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))))) into 0 17.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 17.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 17.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 17.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 17.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 17.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 17.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 17.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.954 * [backup-simplify]: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) into 0 17.954 * [backup-simplify]: Simplify (+ 0 0) into 0 17.954 * [backup-simplify]: Simplify (+ 0 0) into 0 17.955 * [backup-simplify]: Simplify (- 0) into 0 17.955 * [backup-simplify]: Simplify 0 into 0 17.955 * [backup-simplify]: Simplify (* (- (exp (/ 1 (/ 1 i))) 1) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (exp i) 1) n) i) 17.955 * [backup-simplify]: Simplify (/ (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) into (/ (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) n) 17.955 * [approximate]: Taking taylor expansion of (/ (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) n) in (n i) around 0 17.955 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) n) in i 17.955 * [taylor]: Taking taylor expansion of (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) in i 17.955 * [taylor]: Taking taylor expansion of i in i 17.955 * [backup-simplify]: Simplify 0 into 0 17.955 * [backup-simplify]: Simplify 1 into 1 17.955 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in i 17.955 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i 17.955 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i 17.955 * [taylor]: Taking taylor expansion of -1 in i 17.955 * [backup-simplify]: Simplify -1 into -1 17.955 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 17.955 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 17.955 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.955 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 17.955 * [taylor]: Taking taylor expansion of 1 in i 17.955 * [backup-simplify]: Simplify 1 into 1 17.955 * [taylor]: Taking taylor expansion of (/ n i) in i 17.955 * [taylor]: Taking taylor expansion of n in i 17.955 * [backup-simplify]: Simplify n into n 17.955 * [taylor]: Taking taylor expansion of i in i 17.955 * [backup-simplify]: Simplify 0 into 0 17.955 * [backup-simplify]: Simplify 1 into 1 17.955 * [backup-simplify]: Simplify (/ n 1) into n 17.955 * [backup-simplify]: Simplify (+ 0 n) into n 17.955 * [backup-simplify]: Simplify (log n) into (log n) 17.956 * [taylor]: Taking taylor expansion of n in i 17.956 * [backup-simplify]: Simplify n into n 17.956 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 17.956 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 17.956 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 17.956 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n)) 17.956 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 17.956 * [taylor]: Taking taylor expansion of 1 in i 17.956 * [backup-simplify]: Simplify 1 into 1 17.956 * [taylor]: Taking taylor expansion of n in i 17.956 * [backup-simplify]: Simplify n into n 17.957 * [backup-simplify]: Simplify (- 1) into -1 17.957 * [backup-simplify]: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 17.957 * [backup-simplify]: Simplify (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into 0 17.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 17.958 * [backup-simplify]: Simplify (+ 1 0) into 1 17.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 17.958 * [backup-simplify]: Simplify (- (/ (/ 1 n) n) (+ (* (/ (- (log n) (log i)) n) (/ 0 n)))) into (/ 1 (pow n 2)) 17.958 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (* 0 (/ (- (log n) (log i)) n))) into (- (/ 1 (pow n 2))) 17.959 * [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))) 17.959 * [backup-simplify]: Simplify (- 0) into 0 17.959 * [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))) 17.959 * [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) 17.959 * [backup-simplify]: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) 17.959 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) n) in n 17.959 * [taylor]: Taking taylor expansion of (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) in n 17.959 * [taylor]: Taking taylor expansion of i in n 17.959 * [backup-simplify]: Simplify i into i 17.959 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in n 17.959 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n 17.959 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 17.959 * [taylor]: Taking taylor expansion of -1 in n 17.959 * [backup-simplify]: Simplify -1 into -1 17.960 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 17.960 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 17.960 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.960 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 17.960 * [taylor]: Taking taylor expansion of 1 in n 17.960 * [backup-simplify]: Simplify 1 into 1 17.960 * [taylor]: Taking taylor expansion of (/ n i) in n 17.960 * [taylor]: Taking taylor expansion of n in n 17.960 * [backup-simplify]: Simplify 0 into 0 17.960 * [backup-simplify]: Simplify 1 into 1 17.960 * [taylor]: Taking taylor expansion of i in n 17.960 * [backup-simplify]: Simplify i into i 17.960 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 17.960 * [backup-simplify]: Simplify (+ 1 0) into 1 17.960 * [backup-simplify]: Simplify (log 1) into 0 17.960 * [taylor]: Taking taylor expansion of n in n 17.960 * [backup-simplify]: Simplify 0 into 0 17.960 * [backup-simplify]: Simplify 1 into 1 17.960 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 17.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 17.961 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 17.961 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i) 17.961 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.961 * [taylor]: Taking taylor expansion of 1 in n 17.961 * [backup-simplify]: Simplify 1 into 1 17.961 * [taylor]: Taking taylor expansion of n in n 17.961 * [backup-simplify]: Simplify 0 into 0 17.961 * [backup-simplify]: Simplify 1 into 1 17.961 * [backup-simplify]: Simplify (- 1) into -1 17.961 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 17.961 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1)) 17.961 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 17.961 * [taylor]: Taking taylor expansion of (/ (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) n) in n 17.961 * [taylor]: Taking taylor expansion of (* i (- (exp (* -1 (/ (log1p (/ n i)) n))) 1)) in n 17.961 * [taylor]: Taking taylor expansion of i in n 17.961 * [backup-simplify]: Simplify i into i 17.961 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in n 17.961 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n 17.961 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 17.961 * [taylor]: Taking taylor expansion of -1 in n 17.961 * [backup-simplify]: Simplify -1 into -1 17.961 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 17.962 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 17.962 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 17.962 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 17.962 * [taylor]: Taking taylor expansion of 1 in n 17.962 * [backup-simplify]: Simplify 1 into 1 17.962 * [taylor]: Taking taylor expansion of (/ n i) in n 17.962 * [taylor]: Taking taylor expansion of n in n 17.962 * [backup-simplify]: Simplify 0 into 0 17.962 * [backup-simplify]: Simplify 1 into 1 17.962 * [taylor]: Taking taylor expansion of i in n 17.962 * [backup-simplify]: Simplify i into i 17.962 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 17.962 * [backup-simplify]: Simplify (+ 1 0) into 1 17.962 * [backup-simplify]: Simplify (log 1) into 0 17.962 * [taylor]: Taking taylor expansion of n in n 17.962 * [backup-simplify]: Simplify 0 into 0 17.962 * [backup-simplify]: Simplify 1 into 1 17.962 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 17.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 17.963 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 17.963 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i) 17.963 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.963 * [taylor]: Taking taylor expansion of 1 in n 17.963 * [backup-simplify]: Simplify 1 into 1 17.963 * [taylor]: Taking taylor expansion of n in n 17.963 * [backup-simplify]: Simplify 0 into 0 17.963 * [backup-simplify]: Simplify 1 into 1 17.963 * [backup-simplify]: Simplify (- 1) into -1 17.963 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 17.963 * [backup-simplify]: Simplify (* i (- (exp (/ -1 i)) 1)) into (* i (- (exp (/ -1 i)) 1)) 17.963 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 17.963 * [taylor]: Taking taylor expansion of (* i (- (exp (/ -1 i)) 1)) in i 17.963 * [taylor]: Taking taylor expansion of i in i 17.963 * [backup-simplify]: Simplify 0 into 0 17.963 * [backup-simplify]: Simplify 1 into 1 17.963 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 17.963 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 17.963 * [taylor]: Taking taylor expansion of (/ -1 i) in i 17.963 * [taylor]: Taking taylor expansion of -1 in i 17.963 * [backup-simplify]: Simplify -1 into -1 17.964 * [taylor]: Taking taylor expansion of i in i 17.964 * [backup-simplify]: Simplify 0 into 0 17.964 * [backup-simplify]: Simplify 1 into 1 17.964 * [backup-simplify]: Simplify (/ -1 1) into -1 17.964 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.964 * [taylor]: Taking taylor expansion of 1 in i 17.964 * [backup-simplify]: Simplify 1 into 1 17.964 * [backup-simplify]: Simplify (- 0) into 0 17.964 * [backup-simplify]: Simplify (+ 0 0) into 0 17.965 * [backup-simplify]: Simplify (- 1) into -1 17.965 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 17.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ -1 i)) 1))) into (- (exp (/ -1 i)) 1) 17.965 * [backup-simplify]: Simplify (- (exp (/ -1 i)) 1) into (- (exp (/ -1 i)) 1) 17.965 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 17.965 * [backup-simplify]: Simplify (+ 0 0) into 0 17.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 17.967 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 17.967 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))) into (* 1/2 (/ 1 (pow i 2))) 17.967 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 17.967 * [backup-simplify]: Simplify (- 0) into 0 17.967 * [backup-simplify]: Simplify (+ (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 0) into (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 17.968 * [backup-simplify]: Simplify (+ (* i (* 1/2 (/ (exp (/ -1 i)) (pow i 2)))) (* 0 (- (exp (/ -1 i)) 1))) into (* 1/2 (/ (exp (/ -1 i)) i)) 17.968 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ (exp (/ -1 i)) i)) 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)))) into (* 1/2 (/ (exp (/ -1 i)) i)) 17.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ -1 i)) i)) in i 17.968 * [taylor]: Taking taylor expansion of 1/2 in i 17.968 * [backup-simplify]: Simplify 1/2 into 1/2 17.968 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) i) in i 17.968 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 17.968 * [taylor]: Taking taylor expansion of (/ -1 i) in i 17.968 * [taylor]: Taking taylor expansion of -1 in i 17.968 * [backup-simplify]: Simplify -1 into -1 17.968 * [taylor]: Taking taylor expansion of i in i 17.968 * [backup-simplify]: Simplify 0 into 0 17.968 * [backup-simplify]: Simplify 1 into 1 17.968 * [backup-simplify]: Simplify (/ -1 1) into -1 17.968 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.968 * [taylor]: Taking taylor expansion of i in i 17.969 * [backup-simplify]: Simplify 0 into 0 17.969 * [backup-simplify]: Simplify 1 into 1 17.969 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 17.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 17.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))) into 0 17.971 * [backup-simplify]: Simplify 0 into 0 17.971 * [backup-simplify]: Simplify (- 0) into 0 17.971 * [backup-simplify]: Simplify (+ 0 0) into 0 17.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 17.972 * [backup-simplify]: Simplify 0 into 0 17.972 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 17.972 * [backup-simplify]: Simplify (+ 0 0) into 0 17.974 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 17.975 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 17.975 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i)))) into (- (* 1/3 (/ 1 (pow i 3)))) 17.975 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (/ -1 i)) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 17.975 * [backup-simplify]: Simplify (- 0) into 0 17.975 * [backup-simplify]: Simplify (+ (* (exp (/ -1 i)) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) (* 1/3 (/ (exp (/ -1 i)) (pow i 3)))) 17.976 * [backup-simplify]: Simplify (+ (* i (- (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) (* 1/3 (/ (exp (/ -1 i)) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (/ -1 i)) (pow i 2)))) (* 0 (- (exp (/ -1 i)) 1)))) into (- (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) (* 1/3 (/ (exp (/ -1 i)) (pow i 2)))) 17.977 * [backup-simplify]: Simplify (- (/ (- (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) (* 1/3 (/ (exp (/ -1 i)) (pow i 2)))) 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* (* 1/2 (/ (exp (/ -1 i)) i)) (/ 0 1)))) into (- (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) (* 1/3 (/ (exp (/ -1 i)) (pow i 2)))) 17.977 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) (* 1/3 (/ (exp (/ -1 i)) (pow i 2)))) in i 17.977 * [taylor]: Taking taylor expansion of (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) in i 17.977 * [taylor]: Taking taylor expansion of 1/8 in i 17.977 * [backup-simplify]: Simplify 1/8 into 1/8 17.977 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 3)) in i 17.977 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 17.977 * [taylor]: Taking taylor expansion of (/ -1 i) in i 17.977 * [taylor]: Taking taylor expansion of -1 in i 17.977 * [backup-simplify]: Simplify -1 into -1 17.977 * [taylor]: Taking taylor expansion of i in i 17.977 * [backup-simplify]: Simplify 0 into 0 17.977 * [backup-simplify]: Simplify 1 into 1 17.977 * [backup-simplify]: Simplify (/ -1 1) into -1 17.977 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.977 * [taylor]: Taking taylor expansion of (pow i 3) in i 17.977 * [taylor]: Taking taylor expansion of i in i 17.977 * [backup-simplify]: Simplify 0 into 0 17.977 * [backup-simplify]: Simplify 1 into 1 17.981 * [backup-simplify]: Simplify (* 1 1) into 1 17.981 * [backup-simplify]: Simplify (* 1 1) into 1 17.982 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 17.982 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ -1 i)) (pow i 2))) in i 17.982 * [taylor]: Taking taylor expansion of 1/3 in i 17.982 * [backup-simplify]: Simplify 1/3 into 1/3 17.982 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 2)) in i 17.982 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 17.982 * [taylor]: Taking taylor expansion of (/ -1 i) in i 17.982 * [taylor]: Taking taylor expansion of -1 in i 17.982 * [backup-simplify]: Simplify -1 into -1 17.982 * [taylor]: Taking taylor expansion of i in i 17.982 * [backup-simplify]: Simplify 0 into 0 17.982 * [backup-simplify]: Simplify 1 into 1 17.982 * [backup-simplify]: Simplify (/ -1 1) into -1 17.982 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 17.982 * [taylor]: Taking taylor expansion of (pow i 2) in i 17.982 * [taylor]: Taking taylor expansion of i in i 17.982 * [backup-simplify]: Simplify 0 into 0 17.982 * [backup-simplify]: Simplify 1 into 1 17.982 * [backup-simplify]: Simplify (* 1 1) into 1 17.982 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 17.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 17.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.992 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))) into 0 17.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 17.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))) into 0 17.997 * [backup-simplify]: Simplify (- 0) into 0 17.998 * [backup-simplify]: Simplify (+ 0 0) into 0 17.998 * [backup-simplify]: Simplify 0 into 0 17.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))) into 0 18.000 * [backup-simplify]: Simplify 0 into 0 18.000 * [backup-simplify]: Simplify (- 0) into 0 18.000 * [backup-simplify]: Simplify (+ 0 0) into 0 18.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1))))) into 0 18.001 * [backup-simplify]: Simplify 0 into 0 18.002 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.002 * [backup-simplify]: Simplify (+ 0 0) into 0 18.005 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) 18.006 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow i 4)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)) (* (* 1/3 (/ 1 (pow i 3))) (/ 0 1)))) into (- (* 1/4 (/ 1 (pow i 4)))) 18.006 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow i 4))))) (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))))) into (* 1/4 (/ 1 (pow i 4))) 18.007 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (/ -1 i)) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 18.007 * [backup-simplify]: Simplify (- 0) into 0 18.007 * [backup-simplify]: Simplify (+ (* (exp (/ -1 i)) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) (* 1/48 (/ (exp (/ -1 i)) (pow i 6)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 5)))) 18.008 * [backup-simplify]: Simplify (+ (* i (- (+ (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) (* 1/48 (/ (exp (/ -1 i)) (pow i 6)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 5))))) (+ (* 0 (- (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) (* 1/3 (/ (exp (/ -1 i)) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (/ -1 i)) (pow i 2)))) (* 0 (- (exp (/ -1 i)) 1))))) into (- (+ (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) (* 1/4 (/ (exp (/ -1 i)) (pow i 3)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 4)))) 18.009 * [backup-simplify]: Simplify (- (/ (- (+ (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) (* 1/4 (/ (exp (/ -1 i)) (pow i 3)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 4)))) 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* (* 1/2 (/ (exp (/ -1 i)) i)) (/ 0 1)) (* (- (* 1/8 (/ (exp (/ -1 i)) (pow i 3))) (* 1/3 (/ (exp (/ -1 i)) (pow i 2)))) (/ 0 1)))) into (- (+ (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) (* 1/4 (/ (exp (/ -1 i)) (pow i 3)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 4)))) 18.009 * [taylor]: Taking taylor expansion of (- (+ (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) (* 1/4 (/ (exp (/ -1 i)) (pow i 3)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 4)))) in i 18.010 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) (* 1/4 (/ (exp (/ -1 i)) (pow i 3)))) in i 18.010 * [taylor]: Taking taylor expansion of (* 1/48 (/ (exp (/ -1 i)) (pow i 5))) in i 18.010 * [taylor]: Taking taylor expansion of 1/48 in i 18.010 * [backup-simplify]: Simplify 1/48 into 1/48 18.010 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 5)) in i 18.010 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.010 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.010 * [taylor]: Taking taylor expansion of -1 in i 18.010 * [backup-simplify]: Simplify -1 into -1 18.010 * [taylor]: Taking taylor expansion of i in i 18.010 * [backup-simplify]: Simplify 0 into 0 18.010 * [backup-simplify]: Simplify 1 into 1 18.010 * [backup-simplify]: Simplify (/ -1 1) into -1 18.010 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.010 * [taylor]: Taking taylor expansion of (pow i 5) in i 18.010 * [taylor]: Taking taylor expansion of i in i 18.010 * [backup-simplify]: Simplify 0 into 0 18.010 * [backup-simplify]: Simplify 1 into 1 18.010 * [backup-simplify]: Simplify (* 1 1) into 1 18.011 * [backup-simplify]: Simplify (* 1 1) into 1 18.011 * [backup-simplify]: Simplify (* 1 1) into 1 18.011 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (/ -1 i)) (pow i 3))) in i 18.011 * [taylor]: Taking taylor expansion of 1/4 in i 18.011 * [backup-simplify]: Simplify 1/4 into 1/4 18.011 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 3)) in i 18.011 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.011 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.011 * [taylor]: Taking taylor expansion of -1 in i 18.011 * [backup-simplify]: Simplify -1 into -1 18.011 * [taylor]: Taking taylor expansion of i in i 18.011 * [backup-simplify]: Simplify 0 into 0 18.011 * [backup-simplify]: Simplify 1 into 1 18.011 * [backup-simplify]: Simplify (/ -1 1) into -1 18.011 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.011 * [taylor]: Taking taylor expansion of (pow i 3) in i 18.011 * [taylor]: Taking taylor expansion of i in i 18.011 * [backup-simplify]: Simplify 0 into 0 18.011 * [backup-simplify]: Simplify 1 into 1 18.012 * [backup-simplify]: Simplify (* 1 1) into 1 18.012 * [backup-simplify]: Simplify (* 1 1) into 1 18.012 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.012 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ -1 i)) (pow i 4))) in i 18.012 * [taylor]: Taking taylor expansion of 1/6 in i 18.012 * [backup-simplify]: Simplify 1/6 into 1/6 18.012 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 4)) in i 18.012 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.012 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.012 * [taylor]: Taking taylor expansion of -1 in i 18.012 * [backup-simplify]: Simplify -1 into -1 18.012 * [taylor]: Taking taylor expansion of i in i 18.012 * [backup-simplify]: Simplify 0 into 0 18.012 * [backup-simplify]: Simplify 1 into 1 18.012 * [backup-simplify]: Simplify (/ -1 1) into -1 18.012 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.012 * [taylor]: Taking taylor expansion of (pow i 4) in i 18.012 * [taylor]: Taking taylor expansion of i in i 18.012 * [backup-simplify]: Simplify 0 into 0 18.012 * [backup-simplify]: Simplify 1 into 1 18.013 * [backup-simplify]: Simplify (* 1 1) into 1 18.013 * [backup-simplify]: Simplify (* 1 1) into 1 18.013 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.034 * [backup-simplify]: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))))) into 0 18.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))) into 0 18.044 * [backup-simplify]: Simplify (+ 0 0) into 0 18.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.057 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))))) into 0 18.057 * [backup-simplify]: Simplify (- 0) into 0 18.058 * [backup-simplify]: Simplify (+ 0 0) into 0 18.058 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify (* (- (exp (/ -1 (/ 1 (- i)))) 1) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (exp i) 1) n) i) 18.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 18.058 * [backup-simplify]: Simplify (* n (log1p (/ i n))) into (* (log1p (/ i n)) n) 18.058 * [approximate]: Taking taylor expansion of (* (log1p (/ i n)) n) in (n i) around 0 18.058 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i 18.058 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i 18.058 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.058 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i 18.058 * [taylor]: Taking taylor expansion of 1 in i 18.058 * [backup-simplify]: Simplify 1 into 1 18.058 * [taylor]: Taking taylor expansion of (/ i n) in i 18.058 * [taylor]: Taking taylor expansion of i in i 18.058 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify 1 into 1 18.058 * [taylor]: Taking taylor expansion of n in i 18.058 * [backup-simplify]: Simplify n into n 18.058 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.059 * [backup-simplify]: Simplify (+ 1 0) into 1 18.059 * [backup-simplify]: Simplify (log 1) into 0 18.059 * [taylor]: Taking taylor expansion of n in i 18.059 * [backup-simplify]: Simplify n into n 18.059 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 18.059 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 18.059 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.059 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 18.059 * [taylor]: Taking taylor expansion of 1 in n 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [taylor]: Taking taylor expansion of (/ i n) in n 18.059 * [taylor]: Taking taylor expansion of i in n 18.059 * [backup-simplify]: Simplify i into i 18.059 * [taylor]: Taking taylor expansion of n in n 18.059 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [backup-simplify]: Simplify (/ i 1) into i 18.059 * [backup-simplify]: Simplify (+ 0 i) into i 18.059 * [backup-simplify]: Simplify (log i) into (log i) 18.059 * [taylor]: Taking taylor expansion of n in n 18.059 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 18.059 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 18.059 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.059 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 18.059 * [taylor]: Taking taylor expansion of 1 in n 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [taylor]: Taking taylor expansion of (/ i n) in n 18.059 * [taylor]: Taking taylor expansion of i in n 18.059 * [backup-simplify]: Simplify i into i 18.059 * [taylor]: Taking taylor expansion of n in n 18.059 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify 1 into 1 18.059 * [backup-simplify]: Simplify (/ i 1) into i 18.059 * [backup-simplify]: Simplify (+ 0 i) into i 18.059 * [backup-simplify]: Simplify (log i) into (log i) 18.059 * [taylor]: Taking taylor expansion of n in n 18.059 * [backup-simplify]: Simplify 0 into 0 18.059 * [backup-simplify]: Simplify 1 into 1 18.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.060 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0 18.060 * [taylor]: Taking taylor expansion of 0 in i 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 18.061 * [backup-simplify]: Simplify (+ 1 0) into 1 18.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 18.062 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n)) 18.062 * [taylor]: Taking taylor expansion of (- (log i) (log n)) in i 18.062 * [taylor]: Taking taylor expansion of (log i) in i 18.062 * [taylor]: Taking taylor expansion of i in i 18.062 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify 1 into 1 18.062 * [backup-simplify]: Simplify (log 1) into 0 18.062 * [taylor]: Taking taylor expansion of (log n) in i 18.062 * [taylor]: Taking taylor expansion of n in i 18.062 * [backup-simplify]: Simplify n into n 18.062 * [backup-simplify]: Simplify (log n) into (log n) 18.062 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.062 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.062 * [backup-simplify]: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) 18.062 * [backup-simplify]: Simplify (- (log i) (log n)) into (- (log i) (log n)) 18.062 * [backup-simplify]: Simplify 0 into 0 18.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.068 * [backup-simplify]: Simplify (+ 0 0) into 0 18.069 * [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)) 18.069 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i) 18.069 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.069 * [taylor]: Taking taylor expansion of i in i 18.069 * [backup-simplify]: Simplify 0 into 0 18.069 * [backup-simplify]: Simplify 1 into 1 18.069 * [backup-simplify]: Simplify (/ 1 1) into 1 18.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.070 * [backup-simplify]: Simplify 0 into 0 18.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.071 * [backup-simplify]: Simplify (- 0) into 0 18.071 * [backup-simplify]: Simplify (+ 0 0) into 0 18.071 * [backup-simplify]: Simplify 0 into 0 18.071 * [backup-simplify]: Simplify 0 into 0 18.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.073 * [backup-simplify]: Simplify (+ 0 0) into 0 18.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) 18.075 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 0) (+ (* (/ -1/2 (pow i 2)) 1) (* (/ 1/3 (pow i 3)) 0)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.075 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i 18.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i 18.075 * [taylor]: Taking taylor expansion of 1/2 in i 18.075 * [backup-simplify]: Simplify 1/2 into 1/2 18.075 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 18.075 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.075 * [taylor]: Taking taylor expansion of i in i 18.075 * [backup-simplify]: Simplify 0 into 0 18.075 * [backup-simplify]: Simplify 1 into 1 18.075 * [backup-simplify]: Simplify (* 1 1) into 1 18.076 * [backup-simplify]: Simplify (/ 1 1) into 1 18.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.078 * [backup-simplify]: Simplify (- 0) into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (* (- (log i) (log n)) (* 1 n)) into (* n (- (log i) (log n))) 18.079 * [backup-simplify]: Simplify (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))) into (/ (log1p (/ n i)) n) 18.079 * [approximate]: Taking taylor expansion of (/ (log1p (/ n i)) n) in (n i) around 0 18.079 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 18.079 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.079 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.079 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.079 * [taylor]: Taking taylor expansion of 1 in i 18.079 * [backup-simplify]: Simplify 1 into 1 18.079 * [taylor]: Taking taylor expansion of (/ n i) in i 18.079 * [taylor]: Taking taylor expansion of n in i 18.079 * [backup-simplify]: Simplify n into n 18.079 * [taylor]: Taking taylor expansion of i in i 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify 1 into 1 18.079 * [backup-simplify]: Simplify (/ n 1) into n 18.079 * [backup-simplify]: Simplify (+ 0 n) into n 18.079 * [backup-simplify]: Simplify (log n) into (log n) 18.079 * [taylor]: Taking taylor expansion of n in i 18.079 * [backup-simplify]: Simplify n into n 18.080 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.080 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.080 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 18.080 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.080 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.080 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.080 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.080 * [taylor]: Taking taylor expansion of 1 in n 18.080 * [backup-simplify]: Simplify 1 into 1 18.080 * [taylor]: Taking taylor expansion of (/ n i) in n 18.080 * [taylor]: Taking taylor expansion of n in n 18.080 * [backup-simplify]: Simplify 0 into 0 18.080 * [backup-simplify]: Simplify 1 into 1 18.080 * [taylor]: Taking taylor expansion of i in n 18.080 * [backup-simplify]: Simplify i into i 18.080 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.081 * [backup-simplify]: Simplify (+ 1 0) into 1 18.081 * [backup-simplify]: Simplify (log 1) into 0 18.081 * [taylor]: Taking taylor expansion of n in n 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify 1 into 1 18.081 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.081 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.081 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.081 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.081 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.081 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.081 * [taylor]: Taking taylor expansion of 1 in n 18.081 * [backup-simplify]: Simplify 1 into 1 18.081 * [taylor]: Taking taylor expansion of (/ n i) in n 18.081 * [taylor]: Taking taylor expansion of n in n 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify 1 into 1 18.081 * [taylor]: Taking taylor expansion of i in n 18.082 * [backup-simplify]: Simplify i into i 18.082 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.082 * [backup-simplify]: Simplify (+ 1 0) into 1 18.082 * [backup-simplify]: Simplify (log 1) into 0 18.082 * [taylor]: Taking taylor expansion of n in n 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 1 into 1 18.082 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.083 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.083 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.083 * [taylor]: Taking taylor expansion of i in i 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.083 * [backup-simplify]: Simplify (/ 1 1) into 1 18.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 18.084 * [backup-simplify]: Simplify (+ 0 0) into 0 18.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 18.085 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.085 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i 18.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i 18.085 * [taylor]: Taking taylor expansion of 1/2 in i 18.085 * [backup-simplify]: Simplify 1/2 into 1/2 18.085 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 18.085 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.085 * [taylor]: Taking taylor expansion of i in i 18.085 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 1 into 1 18.085 * [backup-simplify]: Simplify (* 1 1) into 1 18.086 * [backup-simplify]: Simplify (/ 1 1) into 1 18.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.088 * [backup-simplify]: Simplify (- 0) into 0 18.088 * [backup-simplify]: Simplify 0 into 0 18.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.089 * [backup-simplify]: Simplify 0 into 0 18.089 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.089 * [backup-simplify]: Simplify (+ 0 0) into 0 18.091 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 18.092 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 18.092 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow i 3))) in i 18.092 * [taylor]: Taking taylor expansion of 1/3 in i 18.092 * [backup-simplify]: Simplify 1/3 into 1/3 18.092 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i 18.092 * [taylor]: Taking taylor expansion of (pow i 3) in i 18.092 * [taylor]: Taking taylor expansion of i in i 18.092 * [backup-simplify]: Simplify 0 into 0 18.092 * [backup-simplify]: Simplify 1 into 1 18.093 * [backup-simplify]: Simplify (* 1 1) into 1 18.093 * [backup-simplify]: Simplify (* 1 1) into 1 18.093 * [backup-simplify]: Simplify (/ 1 1) into 1 18.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.098 * [backup-simplify]: Simplify 0 into 0 18.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.100 * [backup-simplify]: Simplify (- 0) into 0 18.100 * [backup-simplify]: Simplify 0 into 0 18.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.101 * [backup-simplify]: Simplify 0 into 0 18.101 * [backup-simplify]: Simplify 0 into 0 18.101 * [backup-simplify]: Simplify (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) into (* -1 (/ (log1p (/ n i)) n)) 18.101 * [approximate]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in (n i) around 0 18.101 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i 18.101 * [taylor]: Taking taylor expansion of -1 in i 18.101 * [backup-simplify]: Simplify -1 into -1 18.101 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 18.101 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.101 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.101 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.101 * [taylor]: Taking taylor expansion of 1 in i 18.101 * [backup-simplify]: Simplify 1 into 1 18.101 * [taylor]: Taking taylor expansion of (/ n i) in i 18.101 * [taylor]: Taking taylor expansion of n in i 18.101 * [backup-simplify]: Simplify n into n 18.101 * [taylor]: Taking taylor expansion of i in i 18.101 * [backup-simplify]: Simplify 0 into 0 18.101 * [backup-simplify]: Simplify 1 into 1 18.101 * [backup-simplify]: Simplify (/ n 1) into n 18.101 * [backup-simplify]: Simplify (+ 0 n) into n 18.102 * [backup-simplify]: Simplify (log n) into (log n) 18.102 * [taylor]: Taking taylor expansion of n in i 18.102 * [backup-simplify]: Simplify n into n 18.102 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.102 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.102 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 18.102 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 18.102 * [taylor]: Taking taylor expansion of -1 in n 18.102 * [backup-simplify]: Simplify -1 into -1 18.102 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.102 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.102 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.102 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.102 * [taylor]: Taking taylor expansion of 1 in n 18.102 * [backup-simplify]: Simplify 1 into 1 18.102 * [taylor]: Taking taylor expansion of (/ n i) in n 18.102 * [taylor]: Taking taylor expansion of n in n 18.102 * [backup-simplify]: Simplify 0 into 0 18.102 * [backup-simplify]: Simplify 1 into 1 18.102 * [taylor]: Taking taylor expansion of i in n 18.102 * [backup-simplify]: Simplify i into i 18.102 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.103 * [backup-simplify]: Simplify (+ 1 0) into 1 18.103 * [backup-simplify]: Simplify (log 1) into 0 18.103 * [taylor]: Taking taylor expansion of n in n 18.103 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify 1 into 1 18.103 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.103 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.103 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 18.103 * [taylor]: Taking taylor expansion of -1 in n 18.104 * [backup-simplify]: Simplify -1 into -1 18.104 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.104 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.104 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.104 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.104 * [taylor]: Taking taylor expansion of 1 in n 18.104 * [backup-simplify]: Simplify 1 into 1 18.104 * [taylor]: Taking taylor expansion of (/ n i) in n 18.104 * [taylor]: Taking taylor expansion of n in n 18.104 * [backup-simplify]: Simplify 0 into 0 18.104 * [backup-simplify]: Simplify 1 into 1 18.104 * [taylor]: Taking taylor expansion of i in n 18.104 * [backup-simplify]: Simplify i into i 18.104 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.104 * [backup-simplify]: Simplify (+ 1 0) into 1 18.104 * [backup-simplify]: Simplify (log 1) into 0 18.104 * [taylor]: Taking taylor expansion of n in n 18.104 * [backup-simplify]: Simplify 0 into 0 18.104 * [backup-simplify]: Simplify 1 into 1 18.104 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.105 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.105 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i) 18.105 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.105 * [taylor]: Taking taylor expansion of -1 in i 18.105 * [backup-simplify]: Simplify -1 into -1 18.105 * [taylor]: Taking taylor expansion of i in i 18.105 * [backup-simplify]: Simplify 0 into 0 18.105 * [backup-simplify]: Simplify 1 into 1 18.105 * [backup-simplify]: Simplify (/ -1 1) into -1 18.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.106 * [backup-simplify]: Simplify 0 into 0 18.106 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 18.106 * [backup-simplify]: Simplify (+ 0 0) into 0 18.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 18.107 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.108 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))) into (* 1/2 (/ 1 (pow i 2))) 18.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i 18.108 * [taylor]: Taking taylor expansion of 1/2 in i 18.108 * [backup-simplify]: Simplify 1/2 into 1/2 18.108 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 18.108 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.108 * [taylor]: Taking taylor expansion of i in i 18.108 * [backup-simplify]: Simplify 0 into 0 18.108 * [backup-simplify]: Simplify 1 into 1 18.108 * [backup-simplify]: Simplify (* 1 1) into 1 18.108 * [backup-simplify]: Simplify (/ 1 1) into 1 18.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.111 * [backup-simplify]: Simplify 0 into 0 18.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.111 * [backup-simplify]: Simplify 0 into 0 18.112 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.112 * [backup-simplify]: Simplify (+ 0 0) into 0 18.114 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 18.114 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 18.114 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i)))) into (- (* 1/3 (/ 1 (pow i 3)))) 18.114 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow i 3)))) in i 18.114 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow i 3))) in i 18.114 * [taylor]: Taking taylor expansion of 1/3 in i 18.114 * [backup-simplify]: Simplify 1/3 into 1/3 18.115 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i 18.115 * [taylor]: Taking taylor expansion of (pow i 3) in i 18.115 * [taylor]: Taking taylor expansion of i in i 18.115 * [backup-simplify]: Simplify 0 into 0 18.115 * [backup-simplify]: Simplify 1 into 1 18.115 * [backup-simplify]: Simplify (* 1 1) into 1 18.115 * [backup-simplify]: Simplify (* 1 1) into 1 18.115 * [backup-simplify]: Simplify (/ 1 1) into 1 18.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.121 * [backup-simplify]: Simplify (- 0) into 0 18.121 * [backup-simplify]: Simplify 0 into 0 18.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify 0 into 0 18.123 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 18.124 * [backup-simplify]: Simplify (log1p (/ i n)) into (log1p (/ i n)) 18.124 * [approximate]: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0 18.124 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 18.124 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.124 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 18.124 * [taylor]: Taking taylor expansion of 1 in n 18.124 * [backup-simplify]: Simplify 1 into 1 18.124 * [taylor]: Taking taylor expansion of (/ i n) in n 18.124 * [taylor]: Taking taylor expansion of i in n 18.124 * [backup-simplify]: Simplify i into i 18.124 * [taylor]: Taking taylor expansion of n in n 18.124 * [backup-simplify]: Simplify 0 into 0 18.124 * [backup-simplify]: Simplify 1 into 1 18.124 * [backup-simplify]: Simplify (/ i 1) into i 18.124 * [backup-simplify]: Simplify (+ 0 i) into i 18.124 * [backup-simplify]: Simplify (log i) into (log i) 18.124 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i 18.124 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.124 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i 18.124 * [taylor]: Taking taylor expansion of 1 in i 18.124 * [backup-simplify]: Simplify 1 into 1 18.124 * [taylor]: Taking taylor expansion of (/ i n) in i 18.124 * [taylor]: Taking taylor expansion of i in i 18.124 * [backup-simplify]: Simplify 0 into 0 18.124 * [backup-simplify]: Simplify 1 into 1 18.124 * [taylor]: Taking taylor expansion of n in i 18.124 * [backup-simplify]: Simplify n into n 18.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.124 * [backup-simplify]: Simplify (+ 1 0) into 1 18.125 * [backup-simplify]: Simplify (log 1) into 0 18.125 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i 18.125 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.125 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i 18.125 * [taylor]: Taking taylor expansion of 1 in i 18.125 * [backup-simplify]: Simplify 1 into 1 18.125 * [taylor]: Taking taylor expansion of (/ i n) in i 18.125 * [taylor]: Taking taylor expansion of i in i 18.125 * [backup-simplify]: Simplify 0 into 0 18.125 * [backup-simplify]: Simplify 1 into 1 18.125 * [taylor]: Taking taylor expansion of n in i 18.125 * [backup-simplify]: Simplify n into n 18.125 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.125 * [backup-simplify]: Simplify (+ 1 0) into 1 18.125 * [backup-simplify]: Simplify (log 1) into 0 18.125 * [taylor]: Taking taylor expansion of 0 in n 18.125 * [backup-simplify]: Simplify 0 into 0 18.125 * [backup-simplify]: Simplify 0 into 0 18.125 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 18.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 18.126 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.126 * [taylor]: Taking taylor expansion of n in n 18.126 * [backup-simplify]: Simplify 0 into 0 18.126 * [backup-simplify]: Simplify 1 into 1 18.126 * [backup-simplify]: Simplify (/ 1 1) into 1 18.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.127 * [backup-simplify]: Simplify 0 into 0 18.127 * [backup-simplify]: Simplify 0 into 0 18.127 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 18.127 * [backup-simplify]: Simplify (+ 0 0) into 0 18.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 18.128 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n 18.128 * [taylor]: Taking taylor expansion of -1/2 in n 18.128 * [backup-simplify]: Simplify -1/2 into -1/2 18.128 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.128 * [taylor]: Taking taylor expansion of n in n 18.128 * [backup-simplify]: Simplify 0 into 0 18.128 * [backup-simplify]: Simplify 1 into 1 18.128 * [backup-simplify]: Simplify (* 1 1) into 1 18.129 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 18.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.131 * [backup-simplify]: Simplify 0 into 0 18.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.131 * [backup-simplify]: Simplify 0 into 0 18.131 * [backup-simplify]: Simplify 0 into 0 18.131 * [backup-simplify]: Simplify 0 into 0 18.131 * [backup-simplify]: Simplify (log1p (/ (/ 1 i) (/ 1 n))) into (log1p (/ n i)) 18.131 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0 18.131 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.131 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.131 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.131 * [taylor]: Taking taylor expansion of 1 in n 18.131 * [backup-simplify]: Simplify 1 into 1 18.131 * [taylor]: Taking taylor expansion of (/ n i) in n 18.131 * [taylor]: Taking taylor expansion of n in n 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [taylor]: Taking taylor expansion of i in n 18.132 * [backup-simplify]: Simplify i into i 18.132 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.132 * [backup-simplify]: Simplify (+ 1 0) into 1 18.132 * [backup-simplify]: Simplify (log 1) into 0 18.132 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.132 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.132 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.132 * [taylor]: Taking taylor expansion of 1 in i 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [taylor]: Taking taylor expansion of (/ n i) in i 18.132 * [taylor]: Taking taylor expansion of n in i 18.132 * [backup-simplify]: Simplify n into n 18.132 * [taylor]: Taking taylor expansion of i in i 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [backup-simplify]: Simplify (/ n 1) into n 18.132 * [backup-simplify]: Simplify (+ 0 n) into n 18.132 * [backup-simplify]: Simplify (log n) into (log n) 18.132 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.132 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.132 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.132 * [taylor]: Taking taylor expansion of 1 in i 18.133 * [backup-simplify]: Simplify 1 into 1 18.133 * [taylor]: Taking taylor expansion of (/ n i) in i 18.133 * [taylor]: Taking taylor expansion of n in i 18.133 * [backup-simplify]: Simplify n into n 18.133 * [taylor]: Taking taylor expansion of i in i 18.133 * [backup-simplify]: Simplify 0 into 0 18.133 * [backup-simplify]: Simplify 1 into 1 18.133 * [backup-simplify]: Simplify (/ n 1) into n 18.133 * [backup-simplify]: Simplify (+ 0 n) into n 18.133 * [backup-simplify]: Simplify (log n) into (log n) 18.133 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.133 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 18.133 * [taylor]: Taking taylor expansion of (log n) in n 18.133 * [taylor]: Taking taylor expansion of n in n 18.133 * [backup-simplify]: Simplify 0 into 0 18.133 * [backup-simplify]: Simplify 1 into 1 18.133 * [backup-simplify]: Simplify (log 1) into 0 18.133 * [taylor]: Taking taylor expansion of (log i) in n 18.133 * [taylor]: Taking taylor expansion of i in n 18.133 * [backup-simplify]: Simplify i into i 18.133 * [backup-simplify]: Simplify (log i) into (log i) 18.134 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.134 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 18.134 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 18.134 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i)) 18.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 18.135 * [backup-simplify]: Simplify (+ 1 0) into 1 18.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 18.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.135 * [taylor]: Taking taylor expansion of n in n 18.135 * [backup-simplify]: Simplify 0 into 0 18.135 * [backup-simplify]: Simplify 1 into 1 18.135 * [backup-simplify]: Simplify (/ 1 1) into 1 18.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.136 * [backup-simplify]: Simplify 0 into 0 18.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 18.137 * [backup-simplify]: Simplify (- 0) into 0 18.138 * [backup-simplify]: Simplify (+ 0 0) into 0 18.138 * [backup-simplify]: Simplify 0 into 0 18.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.139 * [backup-simplify]: Simplify (+ 0 0) into 0 18.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 18.140 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n 18.140 * [taylor]: Taking taylor expansion of -1/2 in n 18.140 * [backup-simplify]: Simplify -1/2 into -1/2 18.140 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.140 * [taylor]: Taking taylor expansion of n in n 18.140 * [backup-simplify]: Simplify 0 into 0 18.140 * [backup-simplify]: Simplify 1 into 1 18.140 * [backup-simplify]: Simplify (* 1 1) into 1 18.140 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 18.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.142 * [backup-simplify]: Simplify 0 into 0 18.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.143 * [backup-simplify]: Simplify 0 into 0 18.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 18.146 * [backup-simplify]: Simplify (- 0) into 0 18.146 * [backup-simplify]: Simplify (+ 0 0) into 0 18.146 * [backup-simplify]: Simplify 0 into 0 18.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.148 * [backup-simplify]: Simplify (+ 0 0) into 0 18.149 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 18.149 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 18.149 * [taylor]: Taking taylor expansion of 1/3 in n 18.149 * [backup-simplify]: Simplify 1/3 into 1/3 18.149 * [taylor]: Taking taylor expansion of (pow n 3) in n 18.149 * [taylor]: Taking taylor expansion of n in n 18.149 * [backup-simplify]: Simplify 0 into 0 18.149 * [backup-simplify]: Simplify 1 into 1 18.150 * [backup-simplify]: Simplify (* 1 1) into 1 18.150 * [backup-simplify]: Simplify (* 1 1) into 1 18.150 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 18.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 18.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.159 * [backup-simplify]: Simplify 0 into 0 18.159 * [backup-simplify]: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i))) 18.159 * [backup-simplify]: Simplify (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) into (log1p (/ n i)) 18.159 * [approximate]: Taking taylor expansion of (log1p (/ n i)) in (i n) around 0 18.159 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.159 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.159 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.159 * [taylor]: Taking taylor expansion of 1 in n 18.159 * [backup-simplify]: Simplify 1 into 1 18.159 * [taylor]: Taking taylor expansion of (/ n i) in n 18.159 * [taylor]: Taking taylor expansion of n in n 18.159 * [backup-simplify]: Simplify 0 into 0 18.159 * [backup-simplify]: Simplify 1 into 1 18.159 * [taylor]: Taking taylor expansion of i in n 18.159 * [backup-simplify]: Simplify i into i 18.159 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.160 * [backup-simplify]: Simplify (+ 1 0) into 1 18.160 * [backup-simplify]: Simplify (log 1) into 0 18.160 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.160 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.160 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.160 * [taylor]: Taking taylor expansion of 1 in i 18.160 * [backup-simplify]: Simplify 1 into 1 18.160 * [taylor]: Taking taylor expansion of (/ n i) in i 18.160 * [taylor]: Taking taylor expansion of n in i 18.160 * [backup-simplify]: Simplify n into n 18.160 * [taylor]: Taking taylor expansion of i in i 18.160 * [backup-simplify]: Simplify 0 into 0 18.160 * [backup-simplify]: Simplify 1 into 1 18.160 * [backup-simplify]: Simplify (/ n 1) into n 18.160 * [backup-simplify]: Simplify (+ 0 n) into n 18.160 * [backup-simplify]: Simplify (log n) into (log n) 18.160 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.160 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.160 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.160 * [taylor]: Taking taylor expansion of 1 in i 18.160 * [backup-simplify]: Simplify 1 into 1 18.160 * [taylor]: Taking taylor expansion of (/ n i) in i 18.160 * [taylor]: Taking taylor expansion of n in i 18.160 * [backup-simplify]: Simplify n into n 18.160 * [taylor]: Taking taylor expansion of i in i 18.160 * [backup-simplify]: Simplify 0 into 0 18.160 * [backup-simplify]: Simplify 1 into 1 18.160 * [backup-simplify]: Simplify (/ n 1) into n 18.160 * [backup-simplify]: Simplify (+ 0 n) into n 18.160 * [backup-simplify]: Simplify (log n) into (log n) 18.161 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.161 * [taylor]: Taking taylor expansion of (- (log n) (log i)) in n 18.161 * [taylor]: Taking taylor expansion of (log n) in n 18.161 * [taylor]: Taking taylor expansion of n in n 18.161 * [backup-simplify]: Simplify 0 into 0 18.161 * [backup-simplify]: Simplify 1 into 1 18.161 * [backup-simplify]: Simplify (log 1) into 0 18.161 * [taylor]: Taking taylor expansion of (log i) in n 18.161 * [taylor]: Taking taylor expansion of i in n 18.161 * [backup-simplify]: Simplify i into i 18.161 * [backup-simplify]: Simplify (log i) into (log i) 18.161 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 18.161 * [backup-simplify]: Simplify (- (log i)) into (- (log i)) 18.161 * [backup-simplify]: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) 18.161 * [backup-simplify]: Simplify (- (log n) (log i)) into (- (log n) (log i)) 18.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 18.162 * [backup-simplify]: Simplify (+ 1 0) into 1 18.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 18.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 18.163 * [taylor]: Taking taylor expansion of n in n 18.163 * [backup-simplify]: Simplify 0 into 0 18.163 * [backup-simplify]: Simplify 1 into 1 18.163 * [backup-simplify]: Simplify (/ 1 1) into 1 18.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.164 * [backup-simplify]: Simplify 0 into 0 18.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 18.165 * [backup-simplify]: Simplify (- 0) into 0 18.165 * [backup-simplify]: Simplify (+ 0 0) into 0 18.165 * [backup-simplify]: Simplify 0 into 0 18.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.166 * [backup-simplify]: Simplify (+ 0 0) into 0 18.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 18.167 * [taylor]: Taking taylor expansion of (/ -1/2 (pow n 2)) in n 18.167 * [taylor]: Taking taylor expansion of -1/2 in n 18.167 * [backup-simplify]: Simplify -1/2 into -1/2 18.167 * [taylor]: Taking taylor expansion of (pow n 2) in n 18.167 * [taylor]: Taking taylor expansion of n in n 18.167 * [backup-simplify]: Simplify 0 into 0 18.167 * [backup-simplify]: Simplify 1 into 1 18.168 * [backup-simplify]: Simplify (* 1 1) into 1 18.168 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 18.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 18.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.170 * [backup-simplify]: Simplify 0 into 0 18.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.170 * [backup-simplify]: Simplify 0 into 0 18.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 18.173 * [backup-simplify]: Simplify (- 0) into 0 18.174 * [backup-simplify]: Simplify (+ 0 0) into 0 18.174 * [backup-simplify]: Simplify 0 into 0 18.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.175 * [backup-simplify]: Simplify (+ 0 0) into 0 18.177 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) 18.177 * [taylor]: Taking taylor expansion of (/ 1/3 (pow n 3)) in n 18.177 * [taylor]: Taking taylor expansion of 1/3 in n 18.177 * [backup-simplify]: Simplify 1/3 into 1/3 18.177 * [taylor]: Taking taylor expansion of (pow n 3) in n 18.177 * [taylor]: Taking taylor expansion of n in n 18.177 * [backup-simplify]: Simplify 0 into 0 18.177 * [backup-simplify]: Simplify 1 into 1 18.177 * [backup-simplify]: Simplify (* 1 1) into 1 18.177 * [backup-simplify]: Simplify (* 1 1) into 1 18.178 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 18.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 18.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.182 * [backup-simplify]: Simplify 0 into 0 18.182 * [backup-simplify]: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i))) 18.183 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 18.183 * [backup-simplify]: Simplify (- (exp (* n (log1p (/ i n)))) 1) into (- (exp (* (log1p (/ i n)) n)) 1) 18.183 * [approximate]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in (n i) around 0 18.183 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in i 18.183 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in i 18.183 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in i 18.183 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in i 18.183 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.183 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in i 18.183 * [taylor]: Taking taylor expansion of 1 in i 18.183 * [backup-simplify]: Simplify 1 into 1 18.183 * [taylor]: Taking taylor expansion of (/ i n) in i 18.183 * [taylor]: Taking taylor expansion of i in i 18.183 * [backup-simplify]: Simplify 0 into 0 18.183 * [backup-simplify]: Simplify 1 into 1 18.183 * [taylor]: Taking taylor expansion of n in i 18.183 * [backup-simplify]: Simplify n into n 18.183 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 18.183 * [backup-simplify]: Simplify (+ 1 0) into 1 18.183 * [backup-simplify]: Simplify (log 1) into 0 18.183 * [taylor]: Taking taylor expansion of n in i 18.183 * [backup-simplify]: Simplify n into n 18.184 * [backup-simplify]: Simplify (* 0 n) into 0 18.184 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 18.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 18.184 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ 1 n) n)) into 1 18.184 * [backup-simplify]: Simplify (exp 0) into 1 18.184 * [taylor]: Taking taylor expansion of 1 in i 18.184 * [backup-simplify]: Simplify 1 into 1 18.184 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in n 18.184 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n 18.184 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 18.184 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 18.184 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.184 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 18.184 * [taylor]: Taking taylor expansion of 1 in n 18.184 * [backup-simplify]: Simplify 1 into 1 18.184 * [taylor]: Taking taylor expansion of (/ i n) in n 18.184 * [taylor]: Taking taylor expansion of i in n 18.184 * [backup-simplify]: Simplify i into i 18.184 * [taylor]: Taking taylor expansion of n in n 18.184 * [backup-simplify]: Simplify 0 into 0 18.184 * [backup-simplify]: Simplify 1 into 1 18.184 * [backup-simplify]: Simplify (/ i 1) into i 18.185 * [backup-simplify]: Simplify (+ 0 i) into i 18.185 * [backup-simplify]: Simplify (log i) into (log i) 18.185 * [taylor]: Taking taylor expansion of n in n 18.185 * [backup-simplify]: Simplify 0 into 0 18.185 * [backup-simplify]: Simplify 1 into 1 18.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.185 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0 18.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 18.186 * [backup-simplify]: Simplify (+ 1 0) into 1 18.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 18.187 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n)) 18.187 * [backup-simplify]: Simplify (exp 0) into 1 18.187 * [taylor]: Taking taylor expansion of 1 in n 18.187 * [backup-simplify]: Simplify 1 into 1 18.187 * [taylor]: Taking taylor expansion of (- (exp (* (log1p (/ i n)) n)) 1) in n 18.187 * [taylor]: Taking taylor expansion of (exp (* (log1p (/ i n)) n)) in n 18.187 * [taylor]: Taking taylor expansion of (* (log1p (/ i n)) n) in n 18.187 * [taylor]: Taking taylor expansion of (log1p (/ i n)) in n 18.187 * [taylor]: Rewrote expression to (log (+ 1 (/ i n))) 18.187 * [taylor]: Taking taylor expansion of (+ 1 (/ i n)) in n 18.187 * [taylor]: Taking taylor expansion of 1 in n 18.187 * [backup-simplify]: Simplify 1 into 1 18.187 * [taylor]: Taking taylor expansion of (/ i n) in n 18.187 * [taylor]: Taking taylor expansion of i in n 18.187 * [backup-simplify]: Simplify i into i 18.187 * [taylor]: Taking taylor expansion of n in n 18.187 * [backup-simplify]: Simplify 0 into 0 18.187 * [backup-simplify]: Simplify 1 into 1 18.187 * [backup-simplify]: Simplify (/ i 1) into i 18.187 * [backup-simplify]: Simplify (+ 0 i) into i 18.187 * [backup-simplify]: Simplify (log i) into (log i) 18.187 * [taylor]: Taking taylor expansion of n in n 18.187 * [backup-simplify]: Simplify 0 into 0 18.187 * [backup-simplify]: Simplify 1 into 1 18.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.187 * [backup-simplify]: Simplify (* (- (log i) (log n)) 0) into 0 18.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 18.188 * [backup-simplify]: Simplify (+ 1 0) into 1 18.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) 18.189 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 1) (* (/ 1 i) 0)) into (- (log i) (log n)) 18.189 * [backup-simplify]: Simplify (exp 0) into 1 18.189 * [taylor]: Taking taylor expansion of 1 in n 18.189 * [backup-simplify]: Simplify 1 into 1 18.189 * [backup-simplify]: Simplify (- 1) into -1 18.190 * [backup-simplify]: Simplify (+ 1 -1) into 0 18.190 * [taylor]: Taking taylor expansion of 0 in i 18.190 * [backup-simplify]: Simplify 0 into 0 18.190 * [backup-simplify]: Simplify 0 into 0 18.190 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) 18.190 * [backup-simplify]: Simplify (- 0) into 0 18.190 * [backup-simplify]: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) 18.190 * [taylor]: Taking taylor expansion of (- (log i) (log n)) in i 18.190 * [taylor]: Taking taylor expansion of (log i) in i 18.190 * [taylor]: Taking taylor expansion of i in i 18.190 * [backup-simplify]: Simplify 0 into 0 18.190 * [backup-simplify]: Simplify 1 into 1 18.190 * [backup-simplify]: Simplify (log 1) into 0 18.190 * [taylor]: Taking taylor expansion of (log n) in i 18.190 * [taylor]: Taking taylor expansion of n in i 18.190 * [backup-simplify]: Simplify n into n 18.190 * [backup-simplify]: Simplify (log n) into (log n) 18.191 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.191 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.191 * [backup-simplify]: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) 18.191 * [backup-simplify]: Simplify (- (log i) (log n)) into (- (log i) (log n)) 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.192 * [backup-simplify]: Simplify (+ 0 0) into 0 18.193 * [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)) 18.193 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 1) (* (/ -1/2 (pow i 2)) 0))) into (/ 1 i) 18.194 * [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))))) 18.194 * [backup-simplify]: Simplify (- 0) into 0 18.194 * [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))))) 18.194 * [taylor]: Taking taylor expansion of (- (+ (* 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))))) in i 18.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) in i 18.194 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log n) 2)) in i 18.194 * [taylor]: Taking taylor expansion of 1/2 in i 18.194 * [backup-simplify]: Simplify 1/2 into 1/2 18.194 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 18.194 * [taylor]: Taking taylor expansion of (log n) in i 18.194 * [taylor]: Taking taylor expansion of n in i 18.194 * [backup-simplify]: Simplify n into n 18.194 * [backup-simplify]: Simplify (log n) into (log n) 18.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (log i) 2)) (/ 1 i)) in i 18.194 * [taylor]: Taking taylor expansion of (* 1/2 (pow (log i) 2)) in i 18.195 * [taylor]: Taking taylor expansion of 1/2 in i 18.195 * [backup-simplify]: Simplify 1/2 into 1/2 18.195 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 18.195 * [taylor]: Taking taylor expansion of (log i) in i 18.195 * [taylor]: Taking taylor expansion of i in i 18.195 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify 1 into 1 18.195 * [backup-simplify]: Simplify (log 1) into 0 18.195 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.195 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.195 * [taylor]: Taking taylor expansion of i in i 18.195 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify 1 into 1 18.195 * [backup-simplify]: Simplify (/ 1 1) into 1 18.195 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))) in i 18.195 * [taylor]: Taking taylor expansion of (* 1/2 (* (log i) (log n))) in i 18.195 * [taylor]: Taking taylor expansion of 1/2 in i 18.195 * [backup-simplify]: Simplify 1/2 into 1/2 18.196 * [taylor]: Taking taylor expansion of (* (log i) (log n)) in i 18.196 * [taylor]: Taking taylor expansion of (log i) in i 18.196 * [taylor]: Taking taylor expansion of i in i 18.196 * [backup-simplify]: Simplify 0 into 0 18.196 * [backup-simplify]: Simplify 1 into 1 18.196 * [backup-simplify]: Simplify (log 1) into 0 18.196 * [taylor]: Taking taylor expansion of (log n) in i 18.196 * [taylor]: Taking taylor expansion of n in i 18.196 * [backup-simplify]: Simplify n into n 18.196 * [backup-simplify]: Simplify (log n) into (log n) 18.196 * [taylor]: Taking taylor expansion of (* 1/2 (* (log n) (log i))) in i 18.196 * [taylor]: Taking taylor expansion of 1/2 in i 18.196 * [backup-simplify]: Simplify 1/2 into 1/2 18.196 * [taylor]: Taking taylor expansion of (* (log n) (log i)) in i 18.196 * [taylor]: Taking taylor expansion of (log n) in i 18.196 * [taylor]: Taking taylor expansion of n in i 18.196 * [backup-simplify]: Simplify n into n 18.196 * [backup-simplify]: Simplify (log n) into (log n) 18.196 * [taylor]: Taking taylor expansion of (log i) in i 18.196 * [taylor]: Taking taylor expansion of i in i 18.196 * [backup-simplify]: Simplify 0 into 0 18.196 * [backup-simplify]: Simplify 1 into 1 18.196 * [backup-simplify]: Simplify (log 1) into 0 18.196 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 18.196 * [backup-simplify]: Simplify (* 1/2 (pow (log n) 2)) into (* 1/2 (pow (log n) 2)) 18.197 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.197 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.197 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 18.197 * [backup-simplify]: Simplify (* 1/2 (pow (log i) 2)) into (* 1/2 (pow (log i) 2)) 18.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.198 * [backup-simplify]: Simplify (+ (* 1/2 (pow (log i) 2)) 0) into (* 1/2 (pow (log i) 2)) 18.198 * [backup-simplify]: Simplify (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) into (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) 18.198 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.198 * [backup-simplify]: Simplify (* (log i) (log n)) into (* (log i) (log n)) 18.198 * [backup-simplify]: Simplify (* 1/2 (* (log i) (log n))) into (* 1/2 (* (log i) (log n))) 18.198 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.199 * [backup-simplify]: Simplify (* (log n) (log i)) into (* (log n) (log i)) 18.199 * [backup-simplify]: Simplify (* 1/2 (* (log n) (log i))) into (* 1/2 (* (log n) (log i))) 18.199 * [backup-simplify]: Simplify (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))) into (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))) 18.199 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 18.199 * [backup-simplify]: Simplify (+ (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (- (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 18.199 * [backup-simplify]: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 18.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.201 * [backup-simplify]: Simplify (- 0) into 0 18.201 * [backup-simplify]: Simplify (+ 0 0) into 0 18.201 * [backup-simplify]: Simplify 0 into 0 18.201 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) 18.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.204 * [backup-simplify]: Simplify (+ 0 0) into 0 18.205 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) 18.205 * [backup-simplify]: Simplify (+ (* (- (log i) (log n)) 0) (+ (* (/ 1 i) 0) (+ (* (/ -1/2 (pow i 2)) 1) (* (/ 1/3 (pow i 3)) 0)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.206 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 18.206 * [backup-simplify]: Simplify (- 0) into 0 18.207 * [backup-simplify]: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 18.207 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) in i 18.207 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))))) in i 18.207 * [taylor]: Taking taylor expansion of (* 1/6 (pow (log i) 3)) in i 18.207 * [taylor]: Taking taylor expansion of 1/6 in i 18.207 * [backup-simplify]: Simplify 1/6 into 1/6 18.207 * [taylor]: Taking taylor expansion of (pow (log i) 3) in i 18.207 * [taylor]: Taking taylor expansion of (log i) in i 18.207 * [taylor]: Taking taylor expansion of i in i 18.207 * [backup-simplify]: Simplify 0 into 0 18.207 * [backup-simplify]: Simplify 1 into 1 18.208 * [backup-simplify]: Simplify (log 1) into 0 18.208 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.208 * [taylor]: Taking taylor expansion of (+ (/ (log i) i) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) in i 18.208 * [taylor]: Taking taylor expansion of (/ (log i) i) in i 18.208 * [taylor]: Taking taylor expansion of (log i) in i 18.208 * [taylor]: Taking taylor expansion of i in i 18.208 * [backup-simplify]: Simplify 0 into 0 18.208 * [backup-simplify]: Simplify 1 into 1 18.208 * [backup-simplify]: Simplify (log 1) into 0 18.208 * [taylor]: Taking taylor expansion of i in i 18.208 * [backup-simplify]: Simplify 0 into 0 18.208 * [backup-simplify]: Simplify 1 into 1 18.209 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.209 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.209 * [backup-simplify]: Simplify (/ (log i) 1) into (log i) 18.209 * [taylor]: Taking taylor expansion of (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))) in i 18.209 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (log n) 2) (log i))) in i 18.209 * [taylor]: Taking taylor expansion of 1/3 in i 18.209 * [backup-simplify]: Simplify 1/3 into 1/3 18.209 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i 18.209 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 18.209 * [taylor]: Taking taylor expansion of (log n) in i 18.209 * [taylor]: Taking taylor expansion of n in i 18.209 * [backup-simplify]: Simplify n into n 18.209 * [backup-simplify]: Simplify (log n) into (log n) 18.209 * [taylor]: Taking taylor expansion of (log i) in i 18.209 * [taylor]: Taking taylor expansion of i in i 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify 1 into 1 18.210 * [backup-simplify]: Simplify (log 1) into 0 18.210 * [taylor]: Taking taylor expansion of (* 1/6 (* (log i) (pow (log n) 2))) in i 18.210 * [taylor]: Taking taylor expansion of 1/6 in i 18.210 * [backup-simplify]: Simplify 1/6 into 1/6 18.210 * [taylor]: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i 18.210 * [taylor]: Taking taylor expansion of (log i) in i 18.210 * [taylor]: Taking taylor expansion of i in i 18.210 * [backup-simplify]: Simplify 0 into 0 18.210 * [backup-simplify]: Simplify 1 into 1 18.210 * [backup-simplify]: Simplify (log 1) into 0 18.210 * [taylor]: Taking taylor expansion of (pow (log n) 2) in i 18.210 * [taylor]: Taking taylor expansion of (log n) in i 18.210 * [taylor]: Taking taylor expansion of n in i 18.210 * [backup-simplify]: Simplify n into n 18.210 * [backup-simplify]: Simplify (log n) into (log n) 18.210 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2))))))) in i 18.210 * [taylor]: Taking taylor expansion of (* 1/6 (pow (log n) 3)) in i 18.210 * [taylor]: Taking taylor expansion of 1/6 in i 18.210 * [backup-simplify]: Simplify 1/6 into 1/6 18.210 * [taylor]: Taking taylor expansion of (pow (log n) 3) in i 18.210 * [taylor]: Taking taylor expansion of (log n) in i 18.210 * [taylor]: Taking taylor expansion of n in i 18.210 * [backup-simplify]: Simplify n into n 18.210 * [backup-simplify]: Simplify (log n) into (log n) 18.210 * [taylor]: Taking taylor expansion of (+ (* 1/6 (* (log n) (pow (log i) 2))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))) in i 18.210 * [taylor]: Taking taylor expansion of (* 1/6 (* (log n) (pow (log i) 2))) in i 18.210 * [taylor]: Taking taylor expansion of 1/6 in i 18.210 * [backup-simplify]: Simplify 1/6 into 1/6 18.210 * [taylor]: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i 18.210 * [taylor]: Taking taylor expansion of (log n) in i 18.210 * [taylor]: Taking taylor expansion of n in i 18.210 * [backup-simplify]: Simplify n into n 18.210 * [backup-simplify]: Simplify (log n) into (log n) 18.210 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 18.210 * [taylor]: Taking taylor expansion of (log i) in i 18.210 * [taylor]: Taking taylor expansion of i in i 18.210 * [backup-simplify]: Simplify 0 into 0 18.210 * [backup-simplify]: Simplify 1 into 1 18.211 * [backup-simplify]: Simplify (log 1) into 0 18.211 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.211 * [taylor]: Taking taylor expansion of (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2))))) in i 18.211 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (log i) 2) (log n))) in i 18.211 * [taylor]: Taking taylor expansion of 1/3 in i 18.211 * [backup-simplify]: Simplify 1/3 into 1/3 18.211 * [taylor]: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i 18.211 * [taylor]: Taking taylor expansion of (pow (log i) 2) in i 18.211 * [taylor]: Taking taylor expansion of (log i) in i 18.211 * [taylor]: Taking taylor expansion of i in i 18.211 * [backup-simplify]: Simplify 0 into 0 18.211 * [backup-simplify]: Simplify 1 into 1 18.211 * [backup-simplify]: Simplify (log 1) into 0 18.212 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.212 * [taylor]: Taking taylor expansion of (log n) in i 18.212 * [taylor]: Taking taylor expansion of n in i 18.212 * [backup-simplify]: Simplify n into n 18.212 * [backup-simplify]: Simplify (log n) into (log n) 18.212 * [taylor]: Taking taylor expansion of (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))) in i 18.212 * [taylor]: Taking taylor expansion of (/ (log n) i) in i 18.212 * [taylor]: Taking taylor expansion of (log n) in i 18.212 * [taylor]: Taking taylor expansion of n in i 18.212 * [backup-simplify]: Simplify n into n 18.212 * [backup-simplify]: Simplify (log n) into (log n) 18.212 * [taylor]: Taking taylor expansion of i in i 18.212 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify 1 into 1 18.212 * [backup-simplify]: Simplify (/ (log n) 1) into (log n) 18.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i 18.212 * [taylor]: Taking taylor expansion of 1/2 in i 18.212 * [backup-simplify]: Simplify 1/2 into 1/2 18.212 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 18.212 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.212 * [taylor]: Taking taylor expansion of i in i 18.212 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify 1 into 1 18.212 * [backup-simplify]: Simplify (* 1 1) into 1 18.212 * [backup-simplify]: Simplify (/ 1 1) into 1 18.213 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.213 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.213 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.213 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 18.213 * [backup-simplify]: Simplify (* (log i) (pow (log i) 2)) into (pow (log i) 3) 18.214 * [backup-simplify]: Simplify (* 1/6 (pow (log i) 3)) into (* 1/6 (pow (log i) 3)) 18.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 18.215 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 18.215 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.215 * [backup-simplify]: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) 18.215 * [backup-simplify]: Simplify (* 1/3 (* (pow (log n) 2) (log i))) into (* 1/3 (* (pow (log n) 2) (log i))) 18.216 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.216 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 18.216 * [backup-simplify]: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) 18.216 * [backup-simplify]: Simplify (* 1/6 (* (log i) (pow (log n) 2))) into (* 1/6 (* (log i) (pow (log n) 2))) 18.216 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2)))) into (+ (* 1/6 (* (log i) (pow (log n) 2))) (* 1/3 (* (pow (log n) 2) (log i)))) 18.216 * [backup-simplify]: Simplify (+ 0 (+ (* 1/6 (* (log i) (pow (log n) 2))) (* 1/3 (* (pow (log n) 2) (log i))))) into (+ (* 1/6 (* (log i) (pow (log n) 2))) (* 1/3 (* (pow (log n) 2) (log i)))) 18.217 * [backup-simplify]: Simplify (+ (* 1/6 (pow (log i) 3)) (+ (* 1/6 (* (log i) (pow (log n) 2))) (* 1/3 (* (pow (log n) 2) (log i))))) into (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) 18.217 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 18.217 * [backup-simplify]: Simplify (* (log n) (pow (log n) 2)) into (pow (log n) 3) 18.217 * [backup-simplify]: Simplify (* 1/6 (pow (log n) 3)) into (* 1/6 (pow (log n) 3)) 18.217 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.217 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.217 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 18.217 * [backup-simplify]: Simplify (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) 18.218 * [backup-simplify]: Simplify (* 1/6 (* (log n) (pow (log i) 2))) into (* 1/6 (* (log n) (pow (log i) 2))) 18.218 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.218 * [backup-simplify]: Simplify (+ (* (- -1) (log i)) 0) into (log i) 18.218 * [backup-simplify]: Simplify (* (log i) (log i)) into (pow (log i) 2) 18.218 * [backup-simplify]: Simplify (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) 18.218 * [backup-simplify]: Simplify (* 1/3 (* (pow (log i) 2) (log n))) into (* 1/3 (* (pow (log i) 2) (log n))) 18.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 18.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 18.222 * [backup-simplify]: Simplify (+ 0 0) into 0 18.222 * [backup-simplify]: Simplify (+ (* 1/3 (* (pow (log i) 2) (log n))) 0) into (* 1/3 (* (pow (log i) 2) (log n))) 18.223 * [backup-simplify]: Simplify (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))) into (+ (* 1/3 (* (pow (log i) 2) (log n))) (* 1/6 (* (log n) (pow (log i) 2)))) 18.223 * [backup-simplify]: Simplify (+ (* 1/6 (pow (log n) 3)) (+ (* 1/3 (* (pow (log i) 2) (log n))) (* 1/6 (* (log n) (pow (log i) 2))))) into (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2))))) 18.223 * [backup-simplify]: Simplify (- (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) into (- (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) 18.224 * [backup-simplify]: Simplify (+ (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (- (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2))))))) into (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) 18.225 * [backup-simplify]: Simplify (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) into (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) 18.226 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) (pow (* 1 n) 3)) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* 1 n) 2)) (* (- (log i) (log n)) (* 1 n)))) into (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) 18.226 * [backup-simplify]: Simplify (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) into (- (exp (/ (log1p (/ n i)) n)) 1) 18.226 * [approximate]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in (n i) around 0 18.226 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in i 18.226 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in i 18.226 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 18.226 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.227 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.227 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.227 * [taylor]: Taking taylor expansion of 1 in i 18.227 * [backup-simplify]: Simplify 1 into 1 18.227 * [taylor]: Taking taylor expansion of (/ n i) in i 18.227 * [taylor]: Taking taylor expansion of n in i 18.227 * [backup-simplify]: Simplify n into n 18.227 * [taylor]: Taking taylor expansion of i in i 18.227 * [backup-simplify]: Simplify 0 into 0 18.227 * [backup-simplify]: Simplify 1 into 1 18.227 * [backup-simplify]: Simplify (/ n 1) into n 18.227 * [backup-simplify]: Simplify (+ 0 n) into n 18.227 * [backup-simplify]: Simplify (log n) into (log n) 18.227 * [taylor]: Taking taylor expansion of n in i 18.227 * [backup-simplify]: Simplify n into n 18.227 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.228 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.228 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 18.228 * [backup-simplify]: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) 18.228 * [taylor]: Taking taylor expansion of 1 in i 18.228 * [backup-simplify]: Simplify 1 into 1 18.228 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in n 18.228 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n 18.228 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.228 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.228 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.228 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.228 * [taylor]: Taking taylor expansion of 1 in n 18.228 * [backup-simplify]: Simplify 1 into 1 18.228 * [taylor]: Taking taylor expansion of (/ n i) in n 18.228 * [taylor]: Taking taylor expansion of n in n 18.228 * [backup-simplify]: Simplify 0 into 0 18.228 * [backup-simplify]: Simplify 1 into 1 18.228 * [taylor]: Taking taylor expansion of i in n 18.228 * [backup-simplify]: Simplify i into i 18.228 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.228 * [backup-simplify]: Simplify (+ 1 0) into 1 18.228 * [backup-simplify]: Simplify (log 1) into 0 18.229 * [taylor]: Taking taylor expansion of n in n 18.229 * [backup-simplify]: Simplify 0 into 0 18.229 * [backup-simplify]: Simplify 1 into 1 18.229 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.229 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.229 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.229 * [taylor]: Taking taylor expansion of 1 in n 18.229 * [backup-simplify]: Simplify 1 into 1 18.229 * [taylor]: Taking taylor expansion of (- (exp (/ (log1p (/ n i)) n)) 1) in n 18.229 * [taylor]: Taking taylor expansion of (exp (/ (log1p (/ n i)) n)) in n 18.229 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.229 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.229 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.229 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.229 * [taylor]: Taking taylor expansion of 1 in n 18.229 * [backup-simplify]: Simplify 1 into 1 18.229 * [taylor]: Taking taylor expansion of (/ n i) in n 18.229 * [taylor]: Taking taylor expansion of n in n 18.229 * [backup-simplify]: Simplify 0 into 0 18.229 * [backup-simplify]: Simplify 1 into 1 18.229 * [taylor]: Taking taylor expansion of i in n 18.229 * [backup-simplify]: Simplify i into i 18.229 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.230 * [backup-simplify]: Simplify (+ 1 0) into 1 18.230 * [backup-simplify]: Simplify (log 1) into 0 18.230 * [taylor]: Taking taylor expansion of n in n 18.230 * [backup-simplify]: Simplify 0 into 0 18.230 * [backup-simplify]: Simplify 1 into 1 18.230 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.230 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.230 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.230 * [taylor]: Taking taylor expansion of 1 in n 18.230 * [backup-simplify]: Simplify 1 into 1 18.231 * [backup-simplify]: Simplify (- 1) into -1 18.231 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 18.231 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 18.231 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.231 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.231 * [taylor]: Taking taylor expansion of i in i 18.231 * [backup-simplify]: Simplify 0 into 0 18.231 * [backup-simplify]: Simplify 1 into 1 18.231 * [backup-simplify]: Simplify (/ 1 1) into 1 18.231 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.231 * [taylor]: Taking taylor expansion of 1 in i 18.231 * [backup-simplify]: Simplify 1 into 1 18.231 * [backup-simplify]: Simplify (- 1) into -1 18.232 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 18.232 * [backup-simplify]: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) 18.232 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 18.232 * [backup-simplify]: Simplify (+ 0 0) into 0 18.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 18.233 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.234 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 18.234 * [backup-simplify]: Simplify (- 0) into 0 18.234 * [backup-simplify]: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) 18.234 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) in i 18.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ 1 i)) (pow i 2))) in i 18.234 * [taylor]: Taking taylor expansion of 1/2 in i 18.234 * [backup-simplify]: Simplify 1/2 into 1/2 18.234 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i 18.234 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.234 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.234 * [taylor]: Taking taylor expansion of i in i 18.234 * [backup-simplify]: Simplify 0 into 0 18.234 * [backup-simplify]: Simplify 1 into 1 18.234 * [backup-simplify]: Simplify (/ 1 1) into 1 18.234 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.234 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.234 * [taylor]: Taking taylor expansion of i in i 18.234 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 1 into 1 18.235 * [backup-simplify]: Simplify (* 1 1) into 1 18.235 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) into 0 18.238 * [backup-simplify]: Simplify (- 0) into 0 18.238 * [backup-simplify]: Simplify 0 into 0 18.238 * [backup-simplify]: Simplify (- 0) into 0 18.238 * [backup-simplify]: Simplify (+ 0 0) into 0 18.238 * [backup-simplify]: Simplify 0 into 0 18.239 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.239 * [backup-simplify]: Simplify (+ 0 0) into 0 18.240 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 18.241 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 18.241 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 18.242 * [backup-simplify]: Simplify (- 0) into 0 18.242 * [backup-simplify]: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) 18.242 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) in i 18.242 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) in i 18.242 * [taylor]: Taking taylor expansion of 1/3 in i 18.242 * [backup-simplify]: Simplify 1/3 into 1/3 18.242 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i 18.242 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.242 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.242 * [taylor]: Taking taylor expansion of i in i 18.242 * [backup-simplify]: Simplify 0 into 0 18.242 * [backup-simplify]: Simplify 1 into 1 18.242 * [backup-simplify]: Simplify (/ 1 1) into 1 18.242 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.242 * [taylor]: Taking taylor expansion of (pow i 3) in i 18.242 * [taylor]: Taking taylor expansion of i in i 18.242 * [backup-simplify]: Simplify 0 into 0 18.242 * [backup-simplify]: Simplify 1 into 1 18.243 * [backup-simplify]: Simplify (* 1 1) into 1 18.246 * [backup-simplify]: Simplify (* 1 1) into 1 18.246 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.246 * [taylor]: Taking taylor expansion of (* 1/8 (/ (exp (/ 1 i)) (pow i 4))) in i 18.246 * [taylor]: Taking taylor expansion of 1/8 in i 18.246 * [backup-simplify]: Simplify 1/8 into 1/8 18.246 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i 18.246 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.246 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.246 * [taylor]: Taking taylor expansion of i in i 18.246 * [backup-simplify]: Simplify 0 into 0 18.246 * [backup-simplify]: Simplify 1 into 1 18.247 * [backup-simplify]: Simplify (/ 1 1) into 1 18.247 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.247 * [taylor]: Taking taylor expansion of (pow i 4) in i 18.247 * [taylor]: Taking taylor expansion of i in i 18.247 * [backup-simplify]: Simplify 0 into 0 18.247 * [backup-simplify]: Simplify 1 into 1 18.247 * [backup-simplify]: Simplify (* 1 1) into 1 18.247 * [backup-simplify]: Simplify (* 1 1) into 1 18.247 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 18.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.264 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 18.265 * [backup-simplify]: Simplify (+ 0 0) into 0 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 18.267 * [backup-simplify]: Simplify (- 0) into 0 18.267 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify (- 0) into 0 18.268 * [backup-simplify]: Simplify (+ 0 0) into 0 18.268 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.268 * [backup-simplify]: Simplify (+ 0 0) into 0 18.271 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) 18.272 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow i 4)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)) (* (* 1/3 (/ 1 (pow i 3))) (/ 0 1)))) into (- (* 1/4 (/ 1 (pow i 4)))) 18.273 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 18.273 * [backup-simplify]: Simplify (- 0) into 0 18.274 * [backup-simplify]: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) 18.274 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) in i 18.274 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5))))) in i 18.274 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) in i 18.274 * [taylor]: Taking taylor expansion of 1/4 in i 18.274 * [backup-simplify]: Simplify 1/4 into 1/4 18.274 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i 18.274 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.274 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.274 * [taylor]: Taking taylor expansion of i in i 18.274 * [backup-simplify]: Simplify 0 into 0 18.274 * [backup-simplify]: Simplify 1 into 1 18.274 * [backup-simplify]: Simplify (/ 1 1) into 1 18.274 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.274 * [taylor]: Taking taylor expansion of (pow i 4) in i 18.274 * [taylor]: Taking taylor expansion of i in i 18.274 * [backup-simplify]: Simplify 0 into 0 18.274 * [backup-simplify]: Simplify 1 into 1 18.274 * [backup-simplify]: Simplify (* 1 1) into 1 18.275 * [backup-simplify]: Simplify (* 1 1) into 1 18.275 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.275 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))) in i 18.275 * [taylor]: Taking taylor expansion of (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) in i 18.275 * [taylor]: Taking taylor expansion of 1/48 in i 18.275 * [backup-simplify]: Simplify 1/48 into 1/48 18.275 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 6)) in i 18.275 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.275 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.275 * [taylor]: Taking taylor expansion of i in i 18.275 * [backup-simplify]: Simplify 0 into 0 18.275 * [backup-simplify]: Simplify 1 into 1 18.275 * [backup-simplify]: Simplify (/ 1 1) into 1 18.275 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.275 * [taylor]: Taking taylor expansion of (pow i 6) in i 18.275 * [taylor]: Taking taylor expansion of i in i 18.275 * [backup-simplify]: Simplify 0 into 0 18.275 * [backup-simplify]: Simplify 1 into 1 18.276 * [backup-simplify]: Simplify (* 1 1) into 1 18.276 * [backup-simplify]: Simplify (* 1 1) into 1 18.276 * [backup-simplify]: Simplify (* 1 1) into 1 18.276 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.276 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ 1 i)) (pow i 5))) in i 18.276 * [taylor]: Taking taylor expansion of 1/6 in i 18.276 * [backup-simplify]: Simplify 1/6 into 1/6 18.276 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i 18.276 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 18.276 * [taylor]: Taking taylor expansion of (/ 1 i) in i 18.276 * [taylor]: Taking taylor expansion of i in i 18.276 * [backup-simplify]: Simplify 0 into 0 18.276 * [backup-simplify]: Simplify 1 into 1 18.276 * [backup-simplify]: Simplify (/ 1 1) into 1 18.276 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 18.276 * [taylor]: Taking taylor expansion of (pow i 5) in i 18.276 * [taylor]: Taking taylor expansion of i in i 18.277 * [backup-simplify]: Simplify 0 into 0 18.277 * [backup-simplify]: Simplify 1 into 1 18.277 * [backup-simplify]: Simplify (* 1 1) into 1 18.277 * [backup-simplify]: Simplify (* 1 1) into 1 18.277 * [backup-simplify]: Simplify (* 1 1) into 1 18.277 * [backup-simplify]: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) 18.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 18.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.308 * [backup-simplify]: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) into 0 18.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 18.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.324 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))))) into 0 18.324 * [backup-simplify]: Simplify (+ 0 0) into 0 18.325 * [backup-simplify]: Simplify (+ 0 0) into 0 18.325 * [backup-simplify]: Simplify (- 0) into 0 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [backup-simplify]: Simplify (- (exp (/ 1 (/ 1 i))) 1) into (- (exp i) 1) 18.325 * [backup-simplify]: Simplify (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) into (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) 18.325 * [approximate]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in (n i) around 0 18.325 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in i 18.325 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in i 18.325 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in i 18.325 * [taylor]: Taking taylor expansion of -1 in i 18.325 * [backup-simplify]: Simplify -1 into -1 18.325 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in i 18.325 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in i 18.325 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.325 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in i 18.325 * [taylor]: Taking taylor expansion of 1 in i 18.325 * [backup-simplify]: Simplify 1 into 1 18.325 * [taylor]: Taking taylor expansion of (/ n i) in i 18.325 * [taylor]: Taking taylor expansion of n in i 18.325 * [backup-simplify]: Simplify n into n 18.325 * [taylor]: Taking taylor expansion of i in i 18.325 * [backup-simplify]: Simplify 0 into 0 18.325 * [backup-simplify]: Simplify 1 into 1 18.325 * [backup-simplify]: Simplify (/ n 1) into n 18.326 * [backup-simplify]: Simplify (+ 0 n) into n 18.326 * [backup-simplify]: Simplify (log n) into (log n) 18.326 * [taylor]: Taking taylor expansion of n in i 18.326 * [backup-simplify]: Simplify n into n 18.326 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.326 * [backup-simplify]: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) 18.326 * [backup-simplify]: Simplify (/ (- (log n) (log i)) n) into (/ (- (log n) (log i)) n) 18.326 * [backup-simplify]: Simplify (* -1 (/ (- (log n) (log i)) n)) into (* -1 (/ (- (log n) (log i)) n)) 18.326 * [backup-simplify]: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) 18.326 * [taylor]: Taking taylor expansion of 1 in i 18.326 * [backup-simplify]: Simplify 1 into 1 18.326 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in n 18.326 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n 18.326 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 18.326 * [taylor]: Taking taylor expansion of -1 in n 18.326 * [backup-simplify]: Simplify -1 into -1 18.326 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.326 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.327 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.327 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.327 * [taylor]: Taking taylor expansion of 1 in n 18.327 * [backup-simplify]: Simplify 1 into 1 18.327 * [taylor]: Taking taylor expansion of (/ n i) in n 18.327 * [taylor]: Taking taylor expansion of n in n 18.327 * [backup-simplify]: Simplify 0 into 0 18.327 * [backup-simplify]: Simplify 1 into 1 18.327 * [taylor]: Taking taylor expansion of i in n 18.327 * [backup-simplify]: Simplify i into i 18.327 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.327 * [backup-simplify]: Simplify (+ 1 0) into 1 18.327 * [backup-simplify]: Simplify (log 1) into 0 18.327 * [taylor]: Taking taylor expansion of n in n 18.327 * [backup-simplify]: Simplify 0 into 0 18.327 * [backup-simplify]: Simplify 1 into 1 18.327 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.331 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.332 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i) 18.332 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.332 * [taylor]: Taking taylor expansion of 1 in n 18.332 * [backup-simplify]: Simplify 1 into 1 18.332 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (log1p (/ n i)) n))) 1) in n 18.332 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (log1p (/ n i)) n))) in n 18.332 * [taylor]: Taking taylor expansion of (* -1 (/ (log1p (/ n i)) n)) in n 18.332 * [taylor]: Taking taylor expansion of -1 in n 18.332 * [backup-simplify]: Simplify -1 into -1 18.332 * [taylor]: Taking taylor expansion of (/ (log1p (/ n i)) n) in n 18.332 * [taylor]: Taking taylor expansion of (log1p (/ n i)) in n 18.332 * [taylor]: Rewrote expression to (log (+ 1 (/ n i))) 18.332 * [taylor]: Taking taylor expansion of (+ 1 (/ n i)) in n 18.332 * [taylor]: Taking taylor expansion of 1 in n 18.332 * [backup-simplify]: Simplify 1 into 1 18.332 * [taylor]: Taking taylor expansion of (/ n i) in n 18.332 * [taylor]: Taking taylor expansion of n in n 18.332 * [backup-simplify]: Simplify 0 into 0 18.332 * [backup-simplify]: Simplify 1 into 1 18.332 * [taylor]: Taking taylor expansion of i in n 18.332 * [backup-simplify]: Simplify i into i 18.332 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 18.332 * [backup-simplify]: Simplify (+ 1 0) into 1 18.333 * [backup-simplify]: Simplify (log 1) into 0 18.333 * [taylor]: Taking taylor expansion of n in n 18.333 * [backup-simplify]: Simplify 0 into 0 18.333 * [backup-simplify]: Simplify 1 into 1 18.333 * [backup-simplify]: Simplify (+ 0 (/ 1 i)) into (/ 1 i) 18.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) 18.333 * [backup-simplify]: Simplify (/ (/ 1 i) 1) into (/ 1 i) 18.333 * [backup-simplify]: Simplify (* -1 (/ 1 i)) into (/ -1 i) 18.333 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.333 * [taylor]: Taking taylor expansion of 1 in n 18.333 * [backup-simplify]: Simplify 1 into 1 18.334 * [backup-simplify]: Simplify (- 1) into -1 18.334 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 18.334 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 18.334 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.334 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.334 * [taylor]: Taking taylor expansion of -1 in i 18.334 * [backup-simplify]: Simplify -1 into -1 18.334 * [taylor]: Taking taylor expansion of i in i 18.334 * [backup-simplify]: Simplify 0 into 0 18.334 * [backup-simplify]: Simplify 1 into 1 18.334 * [backup-simplify]: Simplify (/ -1 1) into -1 18.334 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.334 * [taylor]: Taking taylor expansion of 1 in i 18.334 * [backup-simplify]: Simplify 1 into 1 18.334 * [backup-simplify]: Simplify (- 1) into -1 18.334 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 18.335 * [backup-simplify]: Simplify (- (exp (/ -1 i)) 1) into (- (exp (/ -1 i)) 1) 18.335 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0 18.335 * [backup-simplify]: Simplify (+ 0 0) into 0 18.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) 18.336 * [backup-simplify]: Simplify (- (/ (/ -1/2 (pow i 2)) 1) (+ (* (/ 1 i) (/ 0 1)))) into (- (* 1/2 (/ 1 (pow i 2)))) 18.336 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))) into (* 1/2 (/ 1 (pow i 2))) 18.337 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 18.337 * [backup-simplify]: Simplify (- 0) into 0 18.337 * [backup-simplify]: Simplify (+ (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 0) into (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) 18.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (/ -1 i)) (pow i 2))) in i 18.337 * [taylor]: Taking taylor expansion of 1/2 in i 18.337 * [backup-simplify]: Simplify 1/2 into 1/2 18.337 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 2)) in i 18.337 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.337 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.337 * [taylor]: Taking taylor expansion of -1 in i 18.337 * [backup-simplify]: Simplify -1 into -1 18.337 * [taylor]: Taking taylor expansion of i in i 18.337 * [backup-simplify]: Simplify 0 into 0 18.337 * [backup-simplify]: Simplify 1 into 1 18.337 * [backup-simplify]: Simplify (/ -1 1) into -1 18.337 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.337 * [taylor]: Taking taylor expansion of (pow i 2) in i 18.337 * [taylor]: Taking taylor expansion of i in i 18.338 * [backup-simplify]: Simplify 0 into 0 18.338 * [backup-simplify]: Simplify 1 into 1 18.338 * [backup-simplify]: Simplify (* 1 1) into 1 18.338 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))) into 0 18.341 * [backup-simplify]: Simplify 0 into 0 18.341 * [backup-simplify]: Simplify (- 0) into 0 18.341 * [backup-simplify]: Simplify (+ 0 0) into 0 18.341 * [backup-simplify]: Simplify 0 into 0 18.341 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.342 * [backup-simplify]: Simplify (+ 0 0) into 0 18.343 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) 18.344 * [backup-simplify]: Simplify (- (/ (/ 1/3 (pow i 3)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)))) into (* 1/3 (/ 1 (pow i 3))) 18.344 * [backup-simplify]: Simplify (+ (* -1 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i)))) into (- (* 1/3 (/ 1 (pow i 3)))) 18.344 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (/ -1 i)) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 18.345 * [backup-simplify]: Simplify (- 0) into 0 18.345 * [backup-simplify]: Simplify (+ (* (exp (/ -1 i)) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) (* 1/3 (/ (exp (/ -1 i)) (pow i 3)))) 18.345 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) (* 1/3 (/ (exp (/ -1 i)) (pow i 3)))) in i 18.345 * [taylor]: Taking taylor expansion of (* 1/8 (/ (exp (/ -1 i)) (pow i 4))) in i 18.345 * [taylor]: Taking taylor expansion of 1/8 in i 18.345 * [backup-simplify]: Simplify 1/8 into 1/8 18.345 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 4)) in i 18.345 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.345 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.345 * [taylor]: Taking taylor expansion of -1 in i 18.345 * [backup-simplify]: Simplify -1 into -1 18.345 * [taylor]: Taking taylor expansion of i in i 18.345 * [backup-simplify]: Simplify 0 into 0 18.345 * [backup-simplify]: Simplify 1 into 1 18.345 * [backup-simplify]: Simplify (/ -1 1) into -1 18.345 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.345 * [taylor]: Taking taylor expansion of (pow i 4) in i 18.345 * [taylor]: Taking taylor expansion of i in i 18.345 * [backup-simplify]: Simplify 0 into 0 18.345 * [backup-simplify]: Simplify 1 into 1 18.346 * [backup-simplify]: Simplify (* 1 1) into 1 18.346 * [backup-simplify]: Simplify (* 1 1) into 1 18.346 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.346 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (/ -1 i)) (pow i 3))) in i 18.346 * [taylor]: Taking taylor expansion of 1/3 in i 18.346 * [backup-simplify]: Simplify 1/3 into 1/3 18.346 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 3)) in i 18.346 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.346 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.346 * [taylor]: Taking taylor expansion of -1 in i 18.346 * [backup-simplify]: Simplify -1 into -1 18.346 * [taylor]: Taking taylor expansion of i in i 18.346 * [backup-simplify]: Simplify 0 into 0 18.346 * [backup-simplify]: Simplify 1 into 1 18.346 * [backup-simplify]: Simplify (/ -1 1) into -1 18.346 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.346 * [taylor]: Taking taylor expansion of (pow i 3) in i 18.346 * [taylor]: Taking taylor expansion of i in i 18.346 * [backup-simplify]: Simplify 0 into 0 18.347 * [backup-simplify]: Simplify 1 into 1 18.347 * [backup-simplify]: Simplify (* 1 1) into 1 18.347 * [backup-simplify]: Simplify (* 1 1) into 1 18.347 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.356 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))) into 0 18.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))) into 0 18.363 * [backup-simplify]: Simplify (- 0) into 0 18.364 * [backup-simplify]: Simplify (+ 0 0) into 0 18.364 * [backup-simplify]: Simplify 0 into 0 18.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))) into 0 18.366 * [backup-simplify]: Simplify 0 into 0 18.366 * [backup-simplify]: Simplify (- 0) into 0 18.367 * [backup-simplify]: Simplify (+ 0 0) into 0 18.367 * [backup-simplify]: Simplify 0 into 0 18.367 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 18.367 * [backup-simplify]: Simplify (+ 0 0) into 0 18.370 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) 18.371 * [backup-simplify]: Simplify (- (/ (/ -1/4 (pow i 4)) 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (* 1/2 (/ 1 (pow i 2)))) (/ 0 1)) (* (* 1/3 (/ 1 (pow i 3))) (/ 0 1)))) into (- (* 1/4 (/ 1 (pow i 4)))) 18.371 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow i 4))))) (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))))) into (* 1/4 (/ 1 (pow i 4))) 18.372 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (/ -1 i)) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 18.372 * [backup-simplify]: Simplify (- 0) into 0 18.372 * [backup-simplify]: Simplify (+ (* (exp (/ -1 i)) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) (* 1/48 (/ (exp (/ -1 i)) (pow i 6)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 5)))) 18.372 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) (* 1/48 (/ (exp (/ -1 i)) (pow i 6)))) (* 1/6 (/ (exp (/ -1 i)) (pow i 5)))) in i 18.372 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) (* 1/48 (/ (exp (/ -1 i)) (pow i 6)))) in i 18.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (/ -1 i)) (pow i 4))) in i 18.372 * [taylor]: Taking taylor expansion of 1/4 in i 18.372 * [backup-simplify]: Simplify 1/4 into 1/4 18.372 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 4)) in i 18.372 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.372 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.372 * [taylor]: Taking taylor expansion of -1 in i 18.372 * [backup-simplify]: Simplify -1 into -1 18.372 * [taylor]: Taking taylor expansion of i in i 18.372 * [backup-simplify]: Simplify 0 into 0 18.372 * [backup-simplify]: Simplify 1 into 1 18.373 * [backup-simplify]: Simplify (/ -1 1) into -1 18.373 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.373 * [taylor]: Taking taylor expansion of (pow i 4) in i 18.373 * [taylor]: Taking taylor expansion of i in i 18.373 * [backup-simplify]: Simplify 0 into 0 18.373 * [backup-simplify]: Simplify 1 into 1 18.373 * [backup-simplify]: Simplify (* 1 1) into 1 18.374 * [backup-simplify]: Simplify (* 1 1) into 1 18.374 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.374 * [taylor]: Taking taylor expansion of (* 1/48 (/ (exp (/ -1 i)) (pow i 6))) in i 18.374 * [taylor]: Taking taylor expansion of 1/48 in i 18.374 * [backup-simplify]: Simplify 1/48 into 1/48 18.374 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 6)) in i 18.374 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.374 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.374 * [taylor]: Taking taylor expansion of -1 in i 18.374 * [backup-simplify]: Simplify -1 into -1 18.374 * [taylor]: Taking taylor expansion of i in i 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [backup-simplify]: Simplify 1 into 1 18.374 * [backup-simplify]: Simplify (/ -1 1) into -1 18.374 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.374 * [taylor]: Taking taylor expansion of (pow i 6) in i 18.374 * [taylor]: Taking taylor expansion of i in i 18.374 * [backup-simplify]: Simplify 0 into 0 18.374 * [backup-simplify]: Simplify 1 into 1 18.374 * [backup-simplify]: Simplify (* 1 1) into 1 18.375 * [backup-simplify]: Simplify (* 1 1) into 1 18.375 * [backup-simplify]: Simplify (* 1 1) into 1 18.375 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.375 * [taylor]: Taking taylor expansion of (* 1/6 (/ (exp (/ -1 i)) (pow i 5))) in i 18.375 * [taylor]: Taking taylor expansion of 1/6 in i 18.375 * [backup-simplify]: Simplify 1/6 into 1/6 18.375 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 i)) (pow i 5)) in i 18.375 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 18.375 * [taylor]: Taking taylor expansion of (/ -1 i) in i 18.375 * [taylor]: Taking taylor expansion of -1 in i 18.375 * [backup-simplify]: Simplify -1 into -1 18.375 * [taylor]: Taking taylor expansion of i in i 18.375 * [backup-simplify]: Simplify 0 into 0 18.375 * [backup-simplify]: Simplify 1 into 1 18.375 * [backup-simplify]: Simplify (/ -1 1) into -1 18.375 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 18.375 * [taylor]: Taking taylor expansion of (pow i 5) in i 18.375 * [taylor]: Taking taylor expansion of i in i 18.375 * [backup-simplify]: Simplify 0 into 0 18.376 * [backup-simplify]: Simplify 1 into 1 18.376 * [backup-simplify]: Simplify (* 1 1) into 1 18.376 * [backup-simplify]: Simplify (* 1 1) into 1 18.376 * [backup-simplify]: Simplify (* 1 1) into 1 18.376 * [backup-simplify]: Simplify (/ (exp (/ -1 i)) 1) into (exp (/ -1 i)) 18.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))) into 0 18.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.406 * [backup-simplify]: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i))))))))) into 0 18.407 * [backup-simplify]: Simplify (+ 0 0) into 0 18.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)))) into 0 18.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (/ -1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.427 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 i)))))))) into 0 18.427 * [backup-simplify]: Simplify (- 0) into 0 18.427 * [backup-simplify]: Simplify (+ 0 0) into 0 18.427 * [backup-simplify]: Simplify 0 into 0 18.427 * [backup-simplify]: Simplify (- (exp (/ -1 (/ 1 (- i)))) 1) into (- (exp i) 1) 18.427 * * * [progress]: simplifying candidates 18.427 * * * * 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simplifiying candidate #real (real->posit16 (* n (log1p (/ i n)))))) 1) (/ i n))))> 18.434 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 18.434 * * * * [progress]: [ 165 / 209 ] simplifiying candidate #real (real->posit16 (log1p (/ i n)))))) 1) (/ i n))))> 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[progress]: [ 196 / 209 ] simplifiying candidate # 18.435 * * * * [progress]: [ 197 / 209 ] simplifiying candidate #real (real->posit16 (- (exp (* n (log1p (/ i n)))) 1))) (/ i n))))> 18.436 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 18.436 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 18.438 * [simplify]: 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(+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) (- (exp i) 1) (- (exp i) 1) 18.442 * * [simplify]: iteration 1: (349 enodes) 18.654 * * [simplify]: iteration 2: (958 enodes) 20.466 * * [simplify]: Extracting #0: cost 169 inf + 0 20.467 * * [simplify]: Extracting #1: cost 654 inf + 4 20.471 * * [simplify]: Extracting #2: cost 951 inf + 4485 20.480 * * [simplify]: Extracting #3: cost 809 inf + 63742 20.507 * * [simplify]: Extracting #4: cost 414 inf + 221805 20.551 * * [simplify]: Extracting #5: cost 104 inf + 318364 20.609 * * [simplify]: Extracting #6: cost 3 inf + 368514 20.669 * * [simplify]: Extracting #7: cost 0 inf + 369475 20.728 * * [simplify]: Extracting #8: cost 0 inf + 368070 20.788 * * [simplify]: Extracting #9: cost 0 inf + 367125 20.847 * * [simplify]: Extracting #10: cost 0 inf + 367100 20.908 * [simplify]: Simplified to: (expm1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (log1p (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (log (/ (expm1 (* (log1p (/ 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(/ i (sqrt n))) 1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) (/ 1 i) (* n (expm1 (* (log1p (/ i n)) n))) (* n (/ 1 i)) (/ (/ i n) (expm1 (* (log1p (/ i n)) n))) (/ (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) (cbrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (* (/ (cbrt i) (cbrt n)) (/ (cbrt i) (cbrt n)))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (cbrt i) (/ (sqrt n) (cbrt i)))) (/ (expm1 (* (log1p (/ i n)) n)) (* (cbrt i) (cbrt i))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (/ (sqrt i) (cbrt n)) (cbrt n))) (/ (expm1 (* (log1p (/ i n)) n)) (/ (sqrt i) (sqrt n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt i)) (* (expm1 (* (log1p (/ i n)) n)) (* (cbrt n) (cbrt n))) (* (expm1 (* (log1p (/ i n)) n)) (sqrt n)) (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n)) (/ (expm1 (* (log1p (/ i n)) n)) i) (/ (/ i n) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (/ i n) (sqrt (expm1 (* (log1p (/ i n)) n)))) (/ (/ i n) (expm1 (* (log1p (/ i n)) n))) (/ (/ i n) (- (sqrt (exp (* (log1p (/ i n)) n))) 1)) (/ (/ i n) (- (sqrt (exp (* (log1p (/ i n)) n))) 1)) (/ (/ i n) (- (sqrt (exp (* (log1p (/ i n)) n))) 1)) (/ (/ i n) (expm1 (* (log1p (/ i n)) n))) (/ (expm1 (* (log1p (/ i n)) n)) i) (* (+ (fma (exp (* (log1p (/ i n)) n)) (exp (* (log1p (/ i n)) n)) 1) (exp (* (log1p (/ i n)) n))) (/ i n)) (fma (/ i n) (exp (* (log1p (/ i n)) n)) (/ i n)) (real->posit16 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) (expm1 (* (log1p (/ i n)) n)) (log1p (* (log1p (/ i n)) n)) (* (log1p (/ i n)) n) (log (* (log1p (/ i n)) n)) (log (* (log1p (/ i n)) n)) (exp (* (log1p (/ i n)) n)) (* (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (log1p (/ i n))) n) (* (cbrt (* (log1p (/ i n)) n)) (cbrt (* (log1p (/ i n)) n))) (cbrt (* (log1p (/ i n)) n)) (* (* (* (* n (log1p (/ i n))) (* n (log1p (/ i n)))) (log1p (/ i n))) n) (sqrt (* (log1p (/ i n)) n)) (sqrt (* (log1p (/ i n)) n)) (* (sqrt n) (sqrt (log1p (/ i n)))) (* (sqrt n) (sqrt (log1p (/ i n)))) (* (cbrt (log1p (/ i n))) (* (cbrt (log1p (/ i n))) n)) (* (sqrt (log1p (/ i n))) n) n (* (log1p (/ i n)) (cbrt n)) (* (sqrt n) (log1p (/ i n))) (* (log1p (/ i n)) n) (real->posit16 (* (log1p (/ i n)) n)) (+ 1 (/ i n)) (/ i n) (log1p (log1p (/ i n))) (log (log1p (/ i n))) (exp (log1p (/ i n))) (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n)))) (cbrt (log1p (/ i n))) (* (log1p (/ i n)) (* (log1p (/ i n)) (log1p (/ i n)))) (sqrt (log1p (/ i n))) (sqrt (log1p (/ i n))) (real->posit16 (log1p (/ i n))) (fma (* (cbrt (exp (* (log1p (/ i n)) n))) (cbrt (exp (* (log1p (/ i n)) n)))) (cbrt (exp (* (log1p (/ i n)) n))) -1) 0 (fma (* (cbrt (exp (* (log1p (/ i n)) n))) (cbrt (exp (* (log1p (/ i n)) n)))) (cbrt (exp (* (log1p (/ i n)) n))) -1) 0 (fma (* (cbrt (exp (* (log1p (/ i n)) n))) (cbrt (exp (* (log1p (/ i n)) n)))) (cbrt (exp (* (log1p (/ i n)) n))) -1) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (* (log1p (/ i n)) n)) 0 (expm1 (expm1 (* (log1p (/ i n)) n))) (* (log1p (/ i n)) n) -1 -1 -1 (exp (expm1 (* (log1p (/ i n)) n))) (log (expm1 (* (log1p (/ i n)) n))) (exp (expm1 (* (log1p (/ i n)) n))) (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (cbrt (expm1 (* (log1p (/ i n)) n))) (* (* (expm1 (* (log1p (/ i n)) n)) (expm1 (* (log1p (/ i n)) n))) (expm1 (* (log1p (/ i n)) n))) (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (expm1 (* (log1p (/ i n)) n))) (+ (* (* (exp (* (log1p (/ i n)) n)) (exp (* (log1p (/ i n)) n))) (exp (* (log1p (/ i n)) n))) -1) (+ (fma (exp (* (log1p (/ i n)) n)) (exp (* (log1p (/ i n)) n)) 1) (exp (* (log1p (/ i n)) n))) -1 (expm1 (* (log1p (/ i n)) (+ n n))) (+ (exp (* (log1p (/ i n)) n)) 1) (+ (sqrt (exp (* (log1p (/ i n)) n))) 1) (- (sqrt (exp (* (log1p (/ i n)) n))) 1) (+ (sqrt (exp (* (log1p (/ i n)) n))) 1) (- (sqrt (exp (* (log1p (/ i n)) n))) 1) (+ (sqrt (exp (* (log1p (/ i n)) n))) 1) (- (sqrt (exp (* (log1p (/ i n)) n))) 1) (expm1 (* (log1p (/ i n)) n)) -1 (real->posit16 (expm1 (* (log1p (/ i n)) n))) 0 (/ (* n (expm1 i)) i) (/ (* n (expm1 i)) i) (* n (log (/ i n))) 0 0 0 (+ (- (log n)) (log i)) (- (log (/ -1 n)) (log (/ -1 i))) (fma (* (* n (log n)) (* n (log n))) 1/2 (- (fma (* (log i) (* (* (* n n) n) (* (log i) (log i)))) 1/6 (fma n (log i) (+ (* (* 1/2 (* n n)) (* (log i) (log i))) (* (* (* n (* (* n (log n)) (* n (log n)))) (log i)) 1/2)))) (fma 1/3 (* (* (* (* n n) n) (* (log i) (log i))) (log n)) (+ (* (* (* (* n n) (log n)) (log i)) 1) (fma 1/6 (* (* (log n) (* (log n) (log n))) (* (* n n) n)) (fma (* (* (* (* n n) n) (* (log i) (log i))) (log n)) 1/6 (* (log n) n))))))) (expm1 i) (expm1 i) 20.929 * * * [progress]: adding candidates to table 22.217 * * [progress]: iteration 3 / 4 22.217 * * * [progress]: picking best candidate 22.252 * * * * [pick]: Picked # 22.252 * * * [progress]: localizing error 22.263 * * * [progress]: generating rewritten candidates 22.263 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 22.272 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 22.285 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 22.292 * * * [progress]: generating series expansions 22.292 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 22.292 * [backup-simplify]: Simplify (/ (* n (expm1 i)) i) into (/ (* (expm1 i) n) i) 22.292 * [approximate]: Taking taylor expansion of (/ (* (expm1 i) n) i) in (n i) around 0 22.292 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in i 22.292 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in i 22.292 * [taylor]: Taking taylor expansion of (expm1 i) in i 22.292 * [taylor]: Rewrote expression to (- (exp i) 1) 22.292 * [taylor]: Taking taylor expansion of (exp i) in i 22.292 * [taylor]: Taking taylor expansion of i in i 22.292 * [backup-simplify]: Simplify 0 into 0 22.292 * [backup-simplify]: Simplify 1 into 1 22.292 * [backup-simplify]: Simplify (exp 0) into 1 22.292 * [taylor]: Taking taylor expansion of 1 in i 22.292 * [backup-simplify]: Simplify 1 into 1 22.292 * [taylor]: Taking taylor expansion of n in i 22.292 * [backup-simplify]: Simplify n into n 22.292 * [taylor]: Taking taylor expansion of i in i 22.292 * [backup-simplify]: Simplify 0 into 0 22.292 * [backup-simplify]: Simplify 1 into 1 22.293 * [backup-simplify]: Simplify (- 1) into -1 22.293 * [backup-simplify]: Simplify (+ 1 -1) into 0 22.293 * [backup-simplify]: Simplify (* 0 n) into 0 22.294 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 22.294 * [backup-simplify]: Simplify (- 0) into 0 22.294 * [backup-simplify]: Simplify (+ 1 0) into 1 22.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 22.295 * [backup-simplify]: Simplify (/ n 1) into n 22.295 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 22.295 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.295 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.295 * [taylor]: Rewrote expression to (- (exp i) 1) 22.295 * [taylor]: Taking taylor expansion of (exp i) in n 22.295 * [taylor]: Taking taylor expansion of i in n 22.295 * [backup-simplify]: Simplify i into i 22.295 * [backup-simplify]: Simplify (exp i) into (exp i) 22.295 * [taylor]: Taking taylor expansion of 1 in n 22.295 * [backup-simplify]: Simplify 1 into 1 22.295 * [taylor]: Taking taylor expansion of n in n 22.295 * [backup-simplify]: Simplify 0 into 0 22.295 * [backup-simplify]: Simplify 1 into 1 22.295 * [taylor]: Taking taylor expansion of i in n 22.295 * [backup-simplify]: Simplify i into i 22.295 * [backup-simplify]: Simplify (- 1) into -1 22.295 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 22.295 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 22.296 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 22.296 * [backup-simplify]: Simplify (- 0) into 0 22.296 * [backup-simplify]: Simplify (+ 0 0) into 0 22.296 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 22.296 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 22.297 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 22.297 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.297 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.297 * [taylor]: Rewrote expression to (- (exp i) 1) 22.297 * [taylor]: Taking taylor expansion of (exp i) in n 22.297 * [taylor]: Taking taylor expansion of i in n 22.297 * [backup-simplify]: Simplify i into i 22.297 * [backup-simplify]: Simplify (exp i) into (exp i) 22.297 * [taylor]: Taking taylor expansion of 1 in n 22.297 * [backup-simplify]: Simplify 1 into 1 22.297 * [taylor]: Taking taylor expansion of n in n 22.297 * [backup-simplify]: Simplify 0 into 0 22.297 * [backup-simplify]: Simplify 1 into 1 22.297 * [taylor]: Taking taylor expansion of i in n 22.297 * [backup-simplify]: Simplify i into i 22.297 * [backup-simplify]: Simplify (- 1) into -1 22.297 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 22.297 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 22.298 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 22.298 * [backup-simplify]: Simplify (- 0) into 0 22.298 * [backup-simplify]: Simplify (+ 0 0) into 0 22.298 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 22.298 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 22.298 * [taylor]: Taking taylor expansion of (/ (- (exp i) 1) i) in i 22.298 * [taylor]: Taking taylor expansion of (- (exp i) 1) in i 22.298 * [taylor]: Taking taylor expansion of (exp i) in i 22.298 * [taylor]: Taking taylor expansion of i in i 22.299 * [backup-simplify]: Simplify 0 into 0 22.299 * [backup-simplify]: Simplify 1 into 1 22.299 * [backup-simplify]: Simplify (exp 0) into 1 22.299 * [taylor]: Taking taylor expansion of 1 in i 22.299 * [backup-simplify]: Simplify 1 into 1 22.299 * [taylor]: Taking taylor expansion of i in i 22.299 * [backup-simplify]: Simplify 0 into 0 22.299 * [backup-simplify]: Simplify 1 into 1 22.299 * [backup-simplify]: Simplify (- 1) into -1 22.299 * [backup-simplify]: Simplify (+ 1 -1) into 0 22.300 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 22.300 * [backup-simplify]: Simplify (- 0) into 0 22.300 * [backup-simplify]: Simplify (+ 1 0) into 1 22.300 * [backup-simplify]: Simplify (/ 1 1) into 1 22.300 * [backup-simplify]: Simplify 1 into 1 22.301 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.301 * [backup-simplify]: Simplify (- 0) into 0 22.302 * [backup-simplify]: Simplify (+ 0 0) into 0 22.302 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 1) (* 0 0))) into 0 22.302 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)))) into 0 22.302 * [taylor]: Taking taylor expansion of 0 in i 22.302 * [backup-simplify]: Simplify 0 into 0 22.302 * [backup-simplify]: Simplify 0 into 0 22.303 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 22.303 * [backup-simplify]: Simplify (- 0) into 0 22.304 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.304 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 22.304 * [backup-simplify]: Simplify 1/2 into 1/2 22.306 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.306 * [backup-simplify]: Simplify (- 0) into 0 22.306 * [backup-simplify]: Simplify (+ 0 0) into 0 22.306 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.307 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.307 * [taylor]: Taking taylor expansion of 0 in i 22.307 * [backup-simplify]: Simplify 0 into 0 22.307 * [backup-simplify]: Simplify 0 into 0 22.307 * [backup-simplify]: Simplify 0 into 0 22.308 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 22.308 * [backup-simplify]: Simplify (- 0) into 0 22.309 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 22.309 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 1/6 22.309 * [backup-simplify]: Simplify 1/6 into 1/6 22.309 * [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)))) 22.310 * [backup-simplify]: Simplify (/ (* (/ 1 n) (expm1 (/ 1 i))) (/ 1 i)) into (/ (* i (expm1 (/ 1 i))) n) 22.310 * [approximate]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in (n i) around 0 22.310 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in i 22.310 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in i 22.310 * [taylor]: Taking taylor expansion of i in i 22.310 * [backup-simplify]: Simplify 0 into 0 22.310 * [backup-simplify]: Simplify 1 into 1 22.310 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 22.310 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.310 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.310 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.310 * [taylor]: Taking taylor expansion of i in i 22.310 * [backup-simplify]: Simplify 0 into 0 22.310 * [backup-simplify]: Simplify 1 into 1 22.310 * [backup-simplify]: Simplify (/ 1 1) into 1 22.310 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.310 * [taylor]: Taking taylor expansion of 1 in i 22.310 * [backup-simplify]: Simplify 1 into 1 22.310 * [taylor]: Taking taylor expansion of n in i 22.310 * [backup-simplify]: Simplify n into n 22.310 * [backup-simplify]: Simplify (- 1) into -1 22.310 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.311 * [backup-simplify]: Simplify (* 0 (- (exp (/ 1 i)) 1)) into 0 22.311 * [backup-simplify]: Simplify (- 0) into 0 22.311 * [backup-simplify]: Simplify (+ 0 0) into 0 22.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ 1 i)) 1))) into (- (exp (/ 1 i)) 1) 22.311 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) n) into (/ (- (exp (/ 1 i)) 1) n) 22.311 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 22.311 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 22.311 * [taylor]: Taking taylor expansion of i in n 22.311 * [backup-simplify]: Simplify i into i 22.311 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.311 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.312 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.312 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.312 * [taylor]: Taking taylor expansion of i in n 22.312 * [backup-simplify]: Simplify i into i 22.312 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.312 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.312 * [taylor]: Taking taylor expansion of 1 in n 22.312 * [backup-simplify]: Simplify 1 into 1 22.312 * [taylor]: Taking taylor expansion of n in n 22.312 * [backup-simplify]: Simplify 0 into 0 22.312 * [backup-simplify]: Simplify 1 into 1 22.312 * [backup-simplify]: Simplify (- 1) into -1 22.312 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.312 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 22.312 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 22.312 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 22.312 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 22.312 * [taylor]: Taking taylor expansion of i in n 22.312 * [backup-simplify]: Simplify i into i 22.312 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.312 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.312 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.312 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.312 * [taylor]: Taking taylor expansion of i in n 22.312 * [backup-simplify]: Simplify i into i 22.312 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.312 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.312 * [taylor]: Taking taylor expansion of 1 in n 22.312 * [backup-simplify]: Simplify 1 into 1 22.312 * [taylor]: Taking taylor expansion of n in n 22.312 * [backup-simplify]: Simplify 0 into 0 22.312 * [backup-simplify]: Simplify 1 into 1 22.313 * [backup-simplify]: Simplify (- 1) into -1 22.313 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.313 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 22.313 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 22.313 * [taylor]: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i 22.313 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 22.313 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.313 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.313 * [taylor]: Taking taylor expansion of i in i 22.313 * [backup-simplify]: Simplify 0 into 0 22.313 * [backup-simplify]: Simplify 1 into 1 22.313 * [backup-simplify]: Simplify (/ 1 1) into 1 22.313 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.313 * [taylor]: Taking taylor expansion of 1 in i 22.313 * [backup-simplify]: Simplify 1 into 1 22.313 * [taylor]: Taking taylor expansion of i in i 22.313 * [backup-simplify]: Simplify 0 into 0 22.313 * [backup-simplify]: Simplify 1 into 1 22.314 * [backup-simplify]: Simplify (- 1) into -1 22.314 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.314 * [backup-simplify]: Simplify (- 0) into 0 22.314 * [backup-simplify]: Simplify (+ 0 0) into 0 22.318 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) 22.318 * [backup-simplify]: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) 22.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 22.319 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.319 * [backup-simplify]: Simplify (- 0) into 0 22.320 * [backup-simplify]: Simplify (+ 0 0) into 0 22.320 * [backup-simplify]: Simplify (+ (* i 0) (* 0 (- (exp (/ 1 i)) 1))) into 0 22.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)))) into 0 22.320 * [taylor]: Taking taylor expansion of 0 in i 22.320 * [backup-simplify]: Simplify 0 into 0 22.320 * [backup-simplify]: Simplify 0 into 0 22.320 * [backup-simplify]: Simplify (- 0) into 0 22.321 * [backup-simplify]: Simplify (+ 0 0) into 0 22.321 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 22.321 * [backup-simplify]: Simplify 0 into 0 22.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.322 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.322 * [backup-simplify]: Simplify (- 0) into 0 22.322 * [backup-simplify]: Simplify (+ 0 0) into 0 22.323 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))) into 0 22.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.324 * [taylor]: Taking taylor expansion of 0 in i 22.324 * [backup-simplify]: Simplify 0 into 0 22.324 * [backup-simplify]: Simplify 0 into 0 22.324 * [backup-simplify]: Simplify 0 into 0 22.324 * [backup-simplify]: Simplify (- 0) into 0 22.324 * [backup-simplify]: Simplify (+ 0 0) into 0 22.325 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.325 * [backup-simplify]: Simplify 0 into 0 22.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.326 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.326 * [backup-simplify]: Simplify (- 0) into 0 22.326 * [backup-simplify]: Simplify (+ 0 0) into 0 22.327 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))) into 0 22.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.328 * [taylor]: Taking taylor expansion of 0 in i 22.328 * [backup-simplify]: Simplify 0 into 0 22.328 * [backup-simplify]: Simplify 0 into 0 22.328 * [backup-simplify]: Simplify (* (- (exp (/ 1 (/ 1 i))) 1) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (exp i) 1) n) i) 22.328 * [backup-simplify]: Simplify (/ (* (/ 1 (- n)) (expm1 (/ 1 (- i)))) (/ 1 (- i))) into (/ (* (expm1 (/ -1 i)) i) n) 22.329 * [approximate]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in (n i) around 0 22.329 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in i 22.329 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in i 22.329 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 22.329 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.329 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.329 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.329 * [taylor]: Taking taylor expansion of -1 in i 22.329 * [backup-simplify]: Simplify -1 into -1 22.329 * [taylor]: Taking taylor expansion of i in i 22.329 * [backup-simplify]: Simplify 0 into 0 22.329 * [backup-simplify]: Simplify 1 into 1 22.329 * [backup-simplify]: Simplify (/ -1 1) into -1 22.329 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.329 * [taylor]: Taking taylor expansion of 1 in i 22.329 * [backup-simplify]: Simplify 1 into 1 22.329 * [taylor]: Taking taylor expansion of i in i 22.329 * [backup-simplify]: Simplify 0 into 0 22.329 * [backup-simplify]: Simplify 1 into 1 22.329 * [taylor]: Taking taylor expansion of n in i 22.329 * [backup-simplify]: Simplify n into n 22.329 * [backup-simplify]: Simplify (- 1) into -1 22.329 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.330 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) 0) into 0 22.330 * [backup-simplify]: Simplify (- 0) into 0 22.330 * [backup-simplify]: Simplify (+ 0 0) into 0 22.330 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 1) (* 0 0)) into (- (exp (/ -1 i)) 1) 22.330 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) n) into (/ (- (exp (/ -1 i)) 1) n) 22.330 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 22.330 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 22.330 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.330 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.330 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.330 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.330 * [taylor]: Taking taylor expansion of -1 in n 22.331 * [backup-simplify]: Simplify -1 into -1 22.331 * [taylor]: Taking taylor expansion of i in n 22.331 * [backup-simplify]: Simplify i into i 22.331 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.331 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.331 * [taylor]: Taking taylor expansion of 1 in n 22.331 * [backup-simplify]: Simplify 1 into 1 22.331 * [taylor]: Taking taylor expansion of i in n 22.331 * [backup-simplify]: Simplify i into i 22.331 * [taylor]: Taking taylor expansion of n in n 22.331 * [backup-simplify]: Simplify 0 into 0 22.331 * [backup-simplify]: Simplify 1 into 1 22.331 * [backup-simplify]: Simplify (- 1) into -1 22.331 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.331 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 22.331 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 22.331 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 22.331 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 22.331 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.331 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.331 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.331 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.331 * [taylor]: Taking taylor expansion of -1 in n 22.331 * [backup-simplify]: Simplify -1 into -1 22.331 * [taylor]: Taking taylor expansion of i in n 22.331 * [backup-simplify]: Simplify i into i 22.331 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.331 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.331 * [taylor]: Taking taylor expansion of 1 in n 22.331 * [backup-simplify]: Simplify 1 into 1 22.331 * [taylor]: Taking taylor expansion of i in n 22.331 * [backup-simplify]: Simplify i into i 22.331 * [taylor]: Taking taylor expansion of n in n 22.331 * [backup-simplify]: Simplify 0 into 0 22.331 * [backup-simplify]: Simplify 1 into 1 22.332 * [backup-simplify]: Simplify (- 1) into -1 22.332 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.332 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 22.332 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 22.332 * [taylor]: Taking taylor expansion of (* i (- (exp (/ -1 i)) 1)) in i 22.332 * [taylor]: Taking taylor expansion of i in i 22.332 * [backup-simplify]: Simplify 0 into 0 22.332 * [backup-simplify]: Simplify 1 into 1 22.332 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 22.332 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.332 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.332 * [taylor]: Taking taylor expansion of -1 in i 22.332 * [backup-simplify]: Simplify -1 into -1 22.332 * [taylor]: Taking taylor expansion of i in i 22.332 * [backup-simplify]: Simplify 0 into 0 22.332 * [backup-simplify]: Simplify 1 into 1 22.332 * [backup-simplify]: Simplify (/ -1 1) into -1 22.332 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.332 * [taylor]: Taking taylor expansion of 1 in i 22.333 * [backup-simplify]: Simplify 1 into 1 22.333 * [backup-simplify]: Simplify (- 0) into 0 22.333 * [backup-simplify]: Simplify (+ 0 0) into 0 22.333 * [backup-simplify]: Simplify (- 1) into -1 22.333 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ -1 i)) 1))) into (- (exp (/ -1 i)) 1) 22.334 * [backup-simplify]: Simplify (- (exp (/ -1 i)) 1) into (- (exp (/ -1 i)) 1) 22.334 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)))) into 0 22.334 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.334 * [backup-simplify]: Simplify (- 0) into 0 22.335 * [backup-simplify]: Simplify (+ 0 0) into 0 22.335 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (* 0 i)) into 0 22.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)))) into 0 22.335 * [taylor]: Taking taylor expansion of 0 in i 22.335 * [backup-simplify]: Simplify 0 into 0 22.335 * [backup-simplify]: Simplify 0 into 0 22.336 * [backup-simplify]: Simplify (- 0) into 0 22.336 * [backup-simplify]: Simplify (+ 0 0) into 0 22.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 22.336 * [backup-simplify]: Simplify 0 into 0 22.337 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.337 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.338 * [backup-simplify]: Simplify (- 0) into 0 22.338 * [backup-simplify]: Simplify (+ 0 0) into 0 22.338 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (* 0 i))) into 0 22.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.339 * [taylor]: Taking taylor expansion of 0 in i 22.339 * [backup-simplify]: Simplify 0 into 0 22.339 * [backup-simplify]: Simplify 0 into 0 22.339 * [backup-simplify]: Simplify 0 into 0 22.339 * [backup-simplify]: Simplify (- 0) into 0 22.340 * [backup-simplify]: Simplify (+ 0 0) into 0 22.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1))))) into 0 22.340 * [backup-simplify]: Simplify 0 into 0 22.341 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.342 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.342 * [backup-simplify]: Simplify (- 0) into 0 22.342 * [backup-simplify]: Simplify (+ 0 0) into 0 22.343 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 22.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.344 * [taylor]: Taking taylor expansion of 0 in i 22.344 * [backup-simplify]: Simplify 0 into 0 22.344 * [backup-simplify]: Simplify 0 into 0 22.344 * [backup-simplify]: Simplify (* (- (exp (/ -1 (/ 1 (- i)))) 1) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (exp i) 1) n) i) 22.344 * * * * [progress]: [ 2 / 3 ] generating series at (2) 22.344 * [backup-simplify]: Simplify (* 100 (/ (* n (expm1 i)) i)) into (* 100 (/ (* (expm1 i) n) i)) 22.344 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in (n i) around 0 22.344 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in i 22.344 * [taylor]: Taking taylor expansion of 100 in i 22.344 * [backup-simplify]: Simplify 100 into 100 22.344 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in i 22.344 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in i 22.344 * [taylor]: Taking taylor expansion of (expm1 i) in i 22.344 * [taylor]: Rewrote expression to (- (exp i) 1) 22.344 * [taylor]: Taking taylor expansion of (exp i) in i 22.344 * [taylor]: Taking taylor expansion of i in i 22.344 * [backup-simplify]: Simplify 0 into 0 22.344 * [backup-simplify]: Simplify 1 into 1 22.344 * [backup-simplify]: Simplify (exp 0) into 1 22.344 * [taylor]: Taking taylor expansion of 1 in i 22.344 * [backup-simplify]: Simplify 1 into 1 22.344 * [taylor]: Taking taylor expansion of n in i 22.344 * [backup-simplify]: Simplify n into n 22.344 * [taylor]: Taking taylor expansion of i in i 22.344 * [backup-simplify]: Simplify 0 into 0 22.344 * [backup-simplify]: Simplify 1 into 1 22.345 * [backup-simplify]: Simplify (- 1) into -1 22.345 * [backup-simplify]: Simplify (+ 1 -1) into 0 22.345 * [backup-simplify]: Simplify (* 0 n) into 0 22.346 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 22.346 * [backup-simplify]: Simplify (- 0) into 0 22.346 * [backup-simplify]: Simplify (+ 1 0) into 1 22.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 22.346 * [backup-simplify]: Simplify (/ n 1) into n 22.346 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in n 22.346 * [taylor]: Taking taylor expansion of 100 in n 22.346 * [backup-simplify]: Simplify 100 into 100 22.346 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 22.346 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.346 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.346 * [taylor]: Rewrote expression to (- (exp i) 1) 22.346 * [taylor]: Taking taylor expansion of (exp i) in n 22.347 * [taylor]: Taking taylor expansion of i in n 22.347 * [backup-simplify]: Simplify i into i 22.347 * [backup-simplify]: Simplify (exp i) into (exp i) 22.347 * [taylor]: Taking taylor expansion of 1 in n 22.347 * [backup-simplify]: Simplify 1 into 1 22.347 * [taylor]: Taking taylor expansion of n in n 22.347 * [backup-simplify]: Simplify 0 into 0 22.347 * [backup-simplify]: Simplify 1 into 1 22.347 * [taylor]: Taking taylor expansion of i in n 22.347 * [backup-simplify]: Simplify i into i 22.347 * [backup-simplify]: Simplify (- 1) into -1 22.347 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 22.347 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 22.347 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 22.348 * [backup-simplify]: Simplify (- 0) into 0 22.348 * [backup-simplify]: Simplify (+ 0 0) into 0 22.348 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 22.348 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 22.348 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in n 22.348 * [taylor]: Taking taylor expansion of 100 in n 22.348 * [backup-simplify]: Simplify 100 into 100 22.348 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 22.348 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.348 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.348 * [taylor]: Rewrote expression to (- (exp i) 1) 22.348 * [taylor]: Taking taylor expansion of (exp i) in n 22.348 * [taylor]: Taking taylor expansion of i in n 22.348 * [backup-simplify]: Simplify i into i 22.348 * [backup-simplify]: Simplify (exp i) into (exp i) 22.348 * [taylor]: Taking taylor expansion of 1 in n 22.349 * [backup-simplify]: Simplify 1 into 1 22.349 * [taylor]: Taking taylor expansion of n in n 22.349 * [backup-simplify]: Simplify 0 into 0 22.349 * [backup-simplify]: Simplify 1 into 1 22.349 * [taylor]: Taking taylor expansion of i in n 22.349 * [backup-simplify]: Simplify i into i 22.349 * [backup-simplify]: Simplify (- 1) into -1 22.349 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 22.349 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 22.349 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 22.350 * [backup-simplify]: Simplify (- 0) into 0 22.350 * [backup-simplify]: Simplify (+ 0 0) into 0 22.350 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 22.350 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 22.350 * [backup-simplify]: Simplify (* 100 (/ (- (exp i) 1) i)) into (* 100 (/ (- (exp i) 1) i)) 22.350 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp i) 1) i)) in i 22.350 * [taylor]: Taking taylor expansion of 100 in i 22.350 * [backup-simplify]: Simplify 100 into 100 22.350 * [taylor]: Taking taylor expansion of (/ (- (exp i) 1) i) in i 22.350 * [taylor]: Taking taylor expansion of (- (exp i) 1) in i 22.350 * [taylor]: Taking taylor expansion of (exp i) in i 22.350 * [taylor]: Taking taylor expansion of i in i 22.350 * [backup-simplify]: Simplify 0 into 0 22.350 * [backup-simplify]: Simplify 1 into 1 22.350 * [backup-simplify]: Simplify (exp 0) into 1 22.350 * [taylor]: Taking taylor expansion of 1 in i 22.350 * [backup-simplify]: Simplify 1 into 1 22.351 * [taylor]: Taking taylor expansion of i in i 22.351 * [backup-simplify]: Simplify 0 into 0 22.351 * [backup-simplify]: Simplify 1 into 1 22.351 * [backup-simplify]: Simplify (- 1) into -1 22.351 * [backup-simplify]: Simplify (+ 1 -1) into 0 22.352 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 22.352 * [backup-simplify]: Simplify (- 0) into 0 22.352 * [backup-simplify]: Simplify (+ 1 0) into 1 22.352 * [backup-simplify]: Simplify (/ 1 1) into 1 22.353 * [backup-simplify]: Simplify (* 100 1) into 100 22.353 * [backup-simplify]: Simplify 100 into 100 22.353 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.354 * [backup-simplify]: Simplify (- 0) into 0 22.354 * [backup-simplify]: Simplify (+ 0 0) into 0 22.354 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 1) (* 0 0))) into 0 22.354 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)))) into 0 22.355 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (/ (- (exp i) 1) i))) into 0 22.355 * [taylor]: Taking taylor expansion of 0 in i 22.355 * [backup-simplify]: Simplify 0 into 0 22.355 * [backup-simplify]: Simplify 0 into 0 22.356 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 22.356 * [backup-simplify]: Simplify (- 0) into 0 22.356 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.357 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 22.357 * [backup-simplify]: Simplify (+ (* 100 1/2) (* 0 1)) into 50 22.358 * [backup-simplify]: Simplify 50 into 50 22.358 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.359 * [backup-simplify]: Simplify (- 0) into 0 22.359 * [backup-simplify]: Simplify (+ 0 0) into 0 22.359 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.360 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.360 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (/ (- (exp i) 1) i)))) into 0 22.360 * [taylor]: Taking taylor expansion of 0 in i 22.360 * [backup-simplify]: Simplify 0 into 0 22.360 * [backup-simplify]: Simplify 0 into 0 22.360 * [backup-simplify]: Simplify 0 into 0 22.362 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 22.362 * [backup-simplify]: Simplify (- 0) into 0 22.362 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 22.363 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 1/6 22.364 * [backup-simplify]: Simplify (+ (* 100 1/6) (+ (* 0 1/2) (* 0 1))) into 50/3 22.364 * [backup-simplify]: Simplify 50/3 into 50/3 22.364 * [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)))) 22.364 * [backup-simplify]: Simplify (* 100 (/ (* (/ 1 n) (expm1 (/ 1 i))) (/ 1 i))) into (* 100 (/ (* i (expm1 (/ 1 i))) n)) 22.364 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in (n i) around 0 22.364 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in i 22.364 * [taylor]: Taking taylor expansion of 100 in i 22.364 * [backup-simplify]: Simplify 100 into 100 22.364 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in i 22.364 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in i 22.364 * [taylor]: Taking taylor expansion of i in i 22.364 * [backup-simplify]: Simplify 0 into 0 22.364 * [backup-simplify]: Simplify 1 into 1 22.364 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 22.364 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.364 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.364 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.364 * [taylor]: Taking taylor expansion of i in i 22.364 * [backup-simplify]: Simplify 0 into 0 22.364 * [backup-simplify]: Simplify 1 into 1 22.365 * [backup-simplify]: Simplify (/ 1 1) into 1 22.365 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.365 * [taylor]: Taking taylor expansion of 1 in i 22.365 * [backup-simplify]: Simplify 1 into 1 22.365 * [taylor]: Taking taylor expansion of n in i 22.365 * [backup-simplify]: Simplify n into n 22.365 * [backup-simplify]: Simplify (- 1) into -1 22.365 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.365 * [backup-simplify]: Simplify (* 0 (- (exp (/ 1 i)) 1)) into 0 22.365 * [backup-simplify]: Simplify (- 0) into 0 22.366 * [backup-simplify]: Simplify (+ 0 0) into 0 22.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ 1 i)) 1))) into (- (exp (/ 1 i)) 1) 22.366 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) n) into (/ (- (exp (/ 1 i)) 1) n) 22.366 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in n 22.366 * [taylor]: Taking taylor expansion of 100 in n 22.366 * [backup-simplify]: Simplify 100 into 100 22.366 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 22.366 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 22.366 * [taylor]: Taking taylor expansion of i in n 22.366 * [backup-simplify]: Simplify i into i 22.366 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.366 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.366 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.366 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.366 * [taylor]: Taking taylor expansion of i in n 22.366 * [backup-simplify]: Simplify i into i 22.366 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.366 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.366 * [taylor]: Taking taylor expansion of 1 in n 22.366 * [backup-simplify]: Simplify 1 into 1 22.366 * [taylor]: Taking taylor expansion of n in n 22.366 * [backup-simplify]: Simplify 0 into 0 22.366 * [backup-simplify]: Simplify 1 into 1 22.367 * [backup-simplify]: Simplify (- 1) into -1 22.367 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.367 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 22.367 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 22.367 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in n 22.367 * [taylor]: Taking taylor expansion of 100 in n 22.367 * [backup-simplify]: Simplify 100 into 100 22.367 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 22.367 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 22.367 * [taylor]: Taking taylor expansion of i in n 22.367 * [backup-simplify]: Simplify i into i 22.367 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.367 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.367 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.367 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.367 * [taylor]: Taking taylor expansion of i in n 22.367 * [backup-simplify]: Simplify i into i 22.367 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.367 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.367 * [taylor]: Taking taylor expansion of 1 in n 22.367 * [backup-simplify]: Simplify 1 into 1 22.367 * [taylor]: Taking taylor expansion of n in n 22.367 * [backup-simplify]: Simplify 0 into 0 22.367 * [backup-simplify]: Simplify 1 into 1 22.367 * [backup-simplify]: Simplify (- 1) into -1 22.367 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.367 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 22.368 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 22.368 * [backup-simplify]: Simplify (* 100 (* (- (exp (/ 1 i)) 1) i)) into (* 100 (* (- (exp (/ 1 i)) 1) i)) 22.368 * [taylor]: Taking taylor expansion of (* 100 (* (- (exp (/ 1 i)) 1) i)) in i 22.368 * [taylor]: Taking taylor expansion of 100 in i 22.368 * [backup-simplify]: Simplify 100 into 100 22.368 * [taylor]: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i 22.368 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 22.368 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.368 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.368 * [taylor]: Taking taylor expansion of i in i 22.368 * [backup-simplify]: Simplify 0 into 0 22.368 * [backup-simplify]: Simplify 1 into 1 22.368 * [backup-simplify]: Simplify (/ 1 1) into 1 22.368 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.368 * [taylor]: Taking taylor expansion of 1 in i 22.368 * [backup-simplify]: Simplify 1 into 1 22.368 * [taylor]: Taking taylor expansion of i in i 22.368 * [backup-simplify]: Simplify 0 into 0 22.368 * [backup-simplify]: Simplify 1 into 1 22.368 * [backup-simplify]: Simplify (- 1) into -1 22.368 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.369 * [backup-simplify]: Simplify (- 0) into 0 22.369 * [backup-simplify]: Simplify (+ 0 0) into 0 22.369 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) 22.369 * [backup-simplify]: Simplify (* (- (exp (/ 1 i)) 1) 0) into 0 22.370 * [backup-simplify]: Simplify (+ (* 100 (- (exp (/ 1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ 1 i))) 100) 22.370 * [backup-simplify]: Simplify (- (* 100 (exp (/ 1 i))) 100) into (- (* 100 (exp (/ 1 i))) 100) 22.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 22.370 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.370 * [backup-simplify]: Simplify (- 0) into 0 22.371 * [backup-simplify]: Simplify (+ 0 0) into 0 22.371 * [backup-simplify]: Simplify (+ (* i 0) (* 0 (- (exp (/ 1 i)) 1))) into 0 22.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)))) into 0 22.372 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (* (- (exp (/ 1 i)) 1) i))) into 0 22.372 * [taylor]: Taking taylor expansion of 0 in i 22.372 * [backup-simplify]: Simplify 0 into 0 22.372 * [backup-simplify]: Simplify 0 into 0 22.372 * [backup-simplify]: Simplify (- 0) into 0 22.372 * [backup-simplify]: Simplify (+ 0 0) into 0 22.373 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 22.373 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0))) into 0 22.373 * [backup-simplify]: Simplify 0 into 0 22.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.374 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.374 * [backup-simplify]: Simplify (- 0) into 0 22.375 * [backup-simplify]: Simplify (+ 0 0) into 0 22.375 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))) into 0 22.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.376 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (* (- (exp (/ 1 i)) 1) i)))) into 0 22.376 * [taylor]: Taking taylor expansion of 0 in i 22.376 * [backup-simplify]: Simplify 0 into 0 22.376 * [backup-simplify]: Simplify 0 into 0 22.376 * [backup-simplify]: Simplify 0 into 0 22.377 * [backup-simplify]: Simplify (- 0) into 0 22.377 * [backup-simplify]: Simplify (+ 0 0) into 0 22.377 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.378 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0)))) into 0 22.378 * [backup-simplify]: Simplify 0 into 0 22.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.379 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.380 * [backup-simplify]: Simplify (- 0) into 0 22.380 * [backup-simplify]: Simplify (+ 0 0) into 0 22.380 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))) into 0 22.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.382 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (exp (/ 1 i)) 1) i))))) into 0 22.382 * [taylor]: Taking taylor expansion of 0 in i 22.382 * [backup-simplify]: Simplify 0 into 0 22.382 * [backup-simplify]: Simplify 0 into 0 22.382 * [backup-simplify]: Simplify (* (- (* 100 (exp (/ 1 (/ 1 i)))) 100) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (* 100 (exp i)) 100) n) i) 22.383 * [backup-simplify]: Simplify (* 100 (/ (* (/ 1 (- n)) (expm1 (/ 1 (- i)))) (/ 1 (- i)))) into (* 100 (/ (* (expm1 (/ -1 i)) i) n)) 22.383 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in (n i) around 0 22.383 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in i 22.383 * [taylor]: Taking taylor expansion of 100 in i 22.383 * [backup-simplify]: Simplify 100 into 100 22.383 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in i 22.383 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in i 22.383 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 22.383 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.383 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.383 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.383 * [taylor]: Taking taylor expansion of -1 in i 22.383 * [backup-simplify]: Simplify -1 into -1 22.383 * [taylor]: Taking taylor expansion of i in i 22.383 * [backup-simplify]: Simplify 0 into 0 22.383 * [backup-simplify]: Simplify 1 into 1 22.383 * [backup-simplify]: Simplify (/ -1 1) into -1 22.383 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.383 * [taylor]: Taking taylor expansion of 1 in i 22.383 * [backup-simplify]: Simplify 1 into 1 22.383 * [taylor]: Taking taylor expansion of i in i 22.383 * [backup-simplify]: Simplify 0 into 0 22.383 * [backup-simplify]: Simplify 1 into 1 22.383 * [taylor]: Taking taylor expansion of n in i 22.383 * [backup-simplify]: Simplify n into n 22.384 * [backup-simplify]: Simplify (- 1) into -1 22.384 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.384 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) 0) into 0 22.384 * [backup-simplify]: Simplify (- 0) into 0 22.384 * [backup-simplify]: Simplify (+ 0 0) into 0 22.385 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 1) (* 0 0)) into (- (exp (/ -1 i)) 1) 22.385 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) n) into (/ (- (exp (/ -1 i)) 1) n) 22.385 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in n 22.385 * [taylor]: Taking taylor expansion of 100 in n 22.385 * [backup-simplify]: Simplify 100 into 100 22.385 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 22.385 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 22.385 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.385 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.385 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.385 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.385 * [taylor]: Taking taylor expansion of -1 in n 22.385 * [backup-simplify]: Simplify -1 into -1 22.385 * [taylor]: Taking taylor expansion of i in n 22.385 * [backup-simplify]: Simplify i into i 22.385 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.385 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.385 * [taylor]: Taking taylor expansion of 1 in n 22.385 * [backup-simplify]: Simplify 1 into 1 22.385 * [taylor]: Taking taylor expansion of i in n 22.385 * [backup-simplify]: Simplify i into i 22.385 * [taylor]: Taking taylor expansion of n in n 22.385 * [backup-simplify]: Simplify 0 into 0 22.385 * [backup-simplify]: Simplify 1 into 1 22.385 * [backup-simplify]: Simplify (- 1) into -1 22.385 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.386 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 22.386 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 22.386 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in n 22.386 * [taylor]: Taking taylor expansion of 100 in n 22.386 * [backup-simplify]: Simplify 100 into 100 22.386 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 22.386 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 22.386 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.386 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.386 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.386 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.386 * [taylor]: Taking taylor expansion of -1 in n 22.386 * [backup-simplify]: Simplify -1 into -1 22.386 * [taylor]: Taking taylor expansion of i in n 22.386 * [backup-simplify]: Simplify i into i 22.386 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.386 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.386 * [taylor]: Taking taylor expansion of 1 in n 22.386 * [backup-simplify]: Simplify 1 into 1 22.386 * [taylor]: Taking taylor expansion of i in n 22.386 * [backup-simplify]: Simplify i into i 22.386 * [taylor]: Taking taylor expansion of n in n 22.386 * [backup-simplify]: Simplify 0 into 0 22.386 * [backup-simplify]: Simplify 1 into 1 22.386 * [backup-simplify]: Simplify (- 1) into -1 22.386 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.386 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 22.386 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 22.387 * [backup-simplify]: Simplify (* 100 (* i (- (exp (/ -1 i)) 1))) into (* 100 (* i (- (exp (/ -1 i)) 1))) 22.387 * [taylor]: Taking taylor expansion of (* 100 (* i (- (exp (/ -1 i)) 1))) in i 22.387 * [taylor]: Taking taylor expansion of 100 in i 22.387 * [backup-simplify]: Simplify 100 into 100 22.387 * [taylor]: Taking taylor expansion of (* i (- (exp (/ -1 i)) 1)) in i 22.387 * [taylor]: Taking taylor expansion of i in i 22.387 * [backup-simplify]: Simplify 0 into 0 22.387 * [backup-simplify]: Simplify 1 into 1 22.387 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 22.387 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.387 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.387 * [taylor]: Taking taylor expansion of -1 in i 22.387 * [backup-simplify]: Simplify -1 into -1 22.387 * [taylor]: Taking taylor expansion of i in i 22.387 * [backup-simplify]: Simplify 0 into 0 22.387 * [backup-simplify]: Simplify 1 into 1 22.387 * [backup-simplify]: Simplify (/ -1 1) into -1 22.387 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.387 * [taylor]: Taking taylor expansion of 1 in i 22.387 * [backup-simplify]: Simplify 1 into 1 22.387 * [backup-simplify]: Simplify (- 0) into 0 22.388 * [backup-simplify]: Simplify (+ 0 0) into 0 22.388 * [backup-simplify]: Simplify (- 1) into -1 22.388 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ -1 i)) 1))) into (- (exp (/ -1 i)) 1) 22.388 * [backup-simplify]: Simplify (* 0 (- (exp (/ -1 i)) 1)) into 0 22.389 * [backup-simplify]: Simplify (+ (* 100 (- (exp (/ -1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ -1 i))) 100) 22.389 * [backup-simplify]: Simplify (- (* 100 (exp (/ -1 i))) 100) into (- (* 100 (exp (/ -1 i))) 100) 22.389 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)))) into 0 22.389 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.390 * [backup-simplify]: Simplify (- 0) into 0 22.390 * [backup-simplify]: Simplify (+ 0 0) into 0 22.390 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (* 0 i)) into 0 22.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)))) into 0 22.391 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (* i (- (exp (/ -1 i)) 1)))) into 0 22.391 * [taylor]: Taking taylor expansion of 0 in i 22.391 * [backup-simplify]: Simplify 0 into 0 22.391 * [backup-simplify]: Simplify 0 into 0 22.391 * [backup-simplify]: Simplify (- 0) into 0 22.391 * [backup-simplify]: Simplify (+ 0 0) into 0 22.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 22.392 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0))) into 0 22.392 * [backup-simplify]: Simplify 0 into 0 22.393 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.393 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.394 * [backup-simplify]: Simplify (- 0) into 0 22.394 * [backup-simplify]: Simplify (+ 0 0) into 0 22.394 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (* 0 i))) into 0 22.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.396 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (* i (- (exp (/ -1 i)) 1))))) into 0 22.396 * [taylor]: Taking taylor expansion of 0 in i 22.396 * [backup-simplify]: Simplify 0 into 0 22.396 * [backup-simplify]: Simplify 0 into 0 22.396 * [backup-simplify]: Simplify 0 into 0 22.396 * [backup-simplify]: Simplify (- 0) into 0 22.396 * [backup-simplify]: Simplify (+ 0 0) into 0 22.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1))))) into 0 22.398 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0)))) into 0 22.398 * [backup-simplify]: Simplify 0 into 0 22.398 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.399 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.399 * [backup-simplify]: Simplify (- 0) into 0 22.399 * [backup-simplify]: Simplify (+ 0 0) into 0 22.400 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 22.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.402 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* i (- (exp (/ -1 i)) 1)))))) into 0 22.402 * [taylor]: Taking taylor expansion of 0 in i 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify (* (- (* 100 (exp (/ -1 (/ 1 (- i))))) 100) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (* 100 (exp i)) 100) n) i) 22.402 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 22.402 * [backup-simplify]: Simplify (* n (expm1 i)) into (* (expm1 i) n) 22.402 * [approximate]: Taking taylor expansion of (* (expm1 i) n) in (n i) around 0 22.402 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in i 22.402 * [taylor]: Taking taylor expansion of (expm1 i) in i 22.402 * [taylor]: Rewrote expression to (- (exp i) 1) 22.402 * [taylor]: Taking taylor expansion of (exp i) in i 22.402 * [taylor]: Taking taylor expansion of i in i 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [backup-simplify]: Simplify (exp 0) into 1 22.402 * [taylor]: Taking taylor expansion of 1 in i 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [taylor]: Taking taylor expansion of n in i 22.402 * [backup-simplify]: Simplify n into n 22.402 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.402 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.402 * [taylor]: Rewrote expression to (- (exp i) 1) 22.402 * [taylor]: Taking taylor expansion of (exp i) in n 22.402 * [taylor]: Taking taylor expansion of i in n 22.402 * [backup-simplify]: Simplify i into i 22.402 * [backup-simplify]: Simplify (exp i) into (exp i) 22.402 * [taylor]: Taking taylor expansion of 1 in n 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [taylor]: Taking taylor expansion of n in n 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 22.402 * [taylor]: Taking taylor expansion of (expm1 i) in n 22.402 * [taylor]: Rewrote expression to (- (exp i) 1) 22.402 * [taylor]: Taking taylor expansion of (exp i) in n 22.402 * [taylor]: Taking taylor expansion of i in n 22.402 * [backup-simplify]: Simplify i into i 22.403 * [backup-simplify]: Simplify (exp i) into (exp i) 22.403 * [taylor]: Taking taylor expansion of 1 in n 22.403 * [backup-simplify]: Simplify 1 into 1 22.403 * [taylor]: Taking taylor expansion of n in n 22.403 * [backup-simplify]: Simplify 0 into 0 22.403 * [backup-simplify]: Simplify 1 into 1 22.403 * [backup-simplify]: Simplify (- 1) into -1 22.403 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 22.403 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 22.403 * [taylor]: Taking taylor expansion of 0 in i 22.403 * [backup-simplify]: Simplify 0 into 0 22.403 * [backup-simplify]: Simplify 0 into 0 22.404 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 22.404 * [backup-simplify]: Simplify (- 0) into 0 22.404 * [backup-simplify]: Simplify (+ 0 0) into 0 22.404 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 22.404 * [taylor]: Taking taylor expansion of (- (exp i) 1) in i 22.404 * [taylor]: Taking taylor expansion of (exp i) in i 22.404 * [taylor]: Taking taylor expansion of i in i 22.404 * [backup-simplify]: Simplify 0 into 0 22.404 * [backup-simplify]: Simplify 1 into 1 22.404 * [backup-simplify]: Simplify (exp 0) into 1 22.404 * [taylor]: Taking taylor expansion of 1 in i 22.404 * [backup-simplify]: Simplify 1 into 1 22.405 * [backup-simplify]: Simplify (- 1) into -1 22.405 * [backup-simplify]: Simplify (+ 1 -1) into 0 22.405 * [backup-simplify]: Simplify 0 into 0 22.405 * [backup-simplify]: Simplify 0 into 0 22.409 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.410 * [backup-simplify]: Simplify (- 0) into 0 22.410 * [backup-simplify]: Simplify (+ 0 0) into 0 22.411 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 1) (* 0 0))) into 0 22.411 * [taylor]: Taking taylor expansion of 0 in i 22.411 * [backup-simplify]: Simplify 0 into 0 22.411 * [backup-simplify]: Simplify 0 into 0 22.411 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 22.412 * [backup-simplify]: Simplify (- 0) into 0 22.412 * [backup-simplify]: Simplify (+ 1 0) into 1 22.412 * [backup-simplify]: Simplify 1 into 1 22.412 * [backup-simplify]: Simplify 0 into 0 22.413 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.413 * [backup-simplify]: Simplify (- 0) into 0 22.413 * [backup-simplify]: Simplify (+ 0 0) into 0 22.414 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.414 * [taylor]: Taking taylor expansion of 0 in i 22.414 * [backup-simplify]: Simplify 0 into 0 22.414 * [backup-simplify]: Simplify 0 into 0 22.414 * [backup-simplify]: Simplify 0 into 0 22.415 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 22.415 * [backup-simplify]: Simplify (- 0) into 0 22.416 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.416 * [backup-simplify]: Simplify 1/2 into 1/2 22.416 * [backup-simplify]: Simplify 0 into 0 22.417 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.417 * [backup-simplify]: Simplify (- 0) into 0 22.418 * [backup-simplify]: Simplify (+ 0 0) into 0 22.418 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.418 * [taylor]: Taking taylor expansion of 0 in i 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [backup-simplify]: Simplify 0 into 0 22.418 * [backup-simplify]: Simplify 0 into 0 22.420 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 22.420 * [backup-simplify]: Simplify (- 0) into 0 22.420 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 22.420 * [backup-simplify]: Simplify 1/6 into 1/6 22.420 * [backup-simplify]: Simplify (+ (* 1/6 (* (pow i 3) n)) (+ (* 1/2 (* (pow i 2) n)) (* 1 (* i n)))) into (+ (* 1/2 (* (pow i 2) n)) (+ (* 1/6 (* (pow i 3) n)) (* i n))) 22.420 * [backup-simplify]: Simplify (* (/ 1 n) (expm1 (/ 1 i))) into (/ (expm1 (/ 1 i)) n) 22.421 * [approximate]: Taking taylor expansion of (/ (expm1 (/ 1 i)) n) in (n i) around 0 22.421 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 1 i)) n) in i 22.421 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 22.421 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.421 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.421 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.421 * [taylor]: Taking taylor expansion of i in i 22.421 * [backup-simplify]: Simplify 0 into 0 22.421 * [backup-simplify]: Simplify 1 into 1 22.421 * [backup-simplify]: Simplify (/ 1 1) into 1 22.421 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.421 * [taylor]: Taking taylor expansion of 1 in i 22.421 * [backup-simplify]: Simplify 1 into 1 22.421 * [taylor]: Taking taylor expansion of n in i 22.421 * [backup-simplify]: Simplify n into n 22.421 * [backup-simplify]: Simplify (- 1) into -1 22.421 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.421 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) n) into (/ (- (exp (/ 1 i)) 1) n) 22.421 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 1 i)) n) in n 22.421 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.421 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.421 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.422 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.422 * [taylor]: Taking taylor expansion of i in n 22.422 * [backup-simplify]: Simplify i into i 22.422 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.422 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.422 * [taylor]: Taking taylor expansion of 1 in n 22.422 * [backup-simplify]: Simplify 1 into 1 22.422 * [taylor]: Taking taylor expansion of n in n 22.422 * [backup-simplify]: Simplify 0 into 0 22.422 * [backup-simplify]: Simplify 1 into 1 22.422 * [backup-simplify]: Simplify (- 1) into -1 22.422 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.422 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) 1) into (- (exp (/ 1 i)) 1) 22.422 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 1 i)) n) in n 22.422 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 22.422 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 22.422 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 22.422 * [taylor]: Taking taylor expansion of (/ 1 i) in n 22.422 * [taylor]: Taking taylor expansion of i in n 22.422 * [backup-simplify]: Simplify i into i 22.422 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 22.422 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.422 * [taylor]: Taking taylor expansion of 1 in n 22.422 * [backup-simplify]: Simplify 1 into 1 22.422 * [taylor]: Taking taylor expansion of n in n 22.422 * [backup-simplify]: Simplify 0 into 0 22.422 * [backup-simplify]: Simplify 1 into 1 22.423 * [backup-simplify]: Simplify (- 1) into -1 22.423 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.423 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) 1) into (- (exp (/ 1 i)) 1) 22.423 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 22.423 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 22.423 * [taylor]: Taking taylor expansion of (/ 1 i) in i 22.423 * [taylor]: Taking taylor expansion of i in i 22.423 * [backup-simplify]: Simplify 0 into 0 22.423 * [backup-simplify]: Simplify 1 into 1 22.423 * [backup-simplify]: Simplify (/ 1 1) into 1 22.423 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 22.423 * [taylor]: Taking taylor expansion of 1 in i 22.423 * [backup-simplify]: Simplify 1 into 1 22.423 * [backup-simplify]: Simplify (- 1) into -1 22.423 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 22.423 * [backup-simplify]: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) 22.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 22.424 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.424 * [backup-simplify]: Simplify (- 0) into 0 22.425 * [backup-simplify]: Simplify (+ 0 0) into 0 22.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ 1 i)) 1) (/ 0 1)))) into 0 22.425 * [taylor]: Taking taylor expansion of 0 in i 22.425 * [backup-simplify]: Simplify 0 into 0 22.425 * [backup-simplify]: Simplify 0 into 0 22.425 * [backup-simplify]: Simplify (- 0) into 0 22.426 * [backup-simplify]: Simplify (+ 0 0) into 0 22.426 * [backup-simplify]: Simplify 0 into 0 22.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.427 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.427 * [backup-simplify]: Simplify (- 0) into 0 22.427 * [backup-simplify]: Simplify (+ 0 0) into 0 22.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ 1 i)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.428 * [taylor]: Taking taylor expansion of 0 in i 22.428 * [backup-simplify]: Simplify 0 into 0 22.428 * [backup-simplify]: Simplify 0 into 0 22.428 * [backup-simplify]: Simplify 0 into 0 22.428 * [backup-simplify]: Simplify (- 0) into 0 22.428 * [backup-simplify]: Simplify (+ 0 0) into 0 22.428 * [backup-simplify]: Simplify 0 into 0 22.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.429 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.430 * [backup-simplify]: Simplify (- 0) into 0 22.430 * [backup-simplify]: Simplify (+ 0 0) into 0 22.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ 1 i)) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.431 * [taylor]: Taking taylor expansion of 0 in i 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * [backup-simplify]: Simplify (* (- (exp (/ 1 (/ 1 i))) 1) (* 1 (/ 1 (/ 1 n)))) into (* (- (exp i) 1) n) 22.431 * [backup-simplify]: Simplify (* (/ 1 (- n)) (expm1 (/ 1 (- i)))) into (* -1 (/ (expm1 (/ -1 i)) n)) 22.431 * [approximate]: Taking taylor expansion of (* -1 (/ (expm1 (/ -1 i)) n)) in (n i) around 0 22.431 * [taylor]: Taking taylor expansion of (* -1 (/ (expm1 (/ -1 i)) n)) in i 22.431 * [taylor]: Taking taylor expansion of -1 in i 22.431 * [backup-simplify]: Simplify -1 into -1 22.431 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -1 i)) n) in i 22.432 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 22.432 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.432 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.432 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.432 * [taylor]: Taking taylor expansion of -1 in i 22.432 * [backup-simplify]: Simplify -1 into -1 22.432 * [taylor]: Taking taylor expansion of i in i 22.432 * [backup-simplify]: Simplify 0 into 0 22.432 * [backup-simplify]: Simplify 1 into 1 22.432 * [backup-simplify]: Simplify (/ -1 1) into -1 22.432 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.432 * [taylor]: Taking taylor expansion of 1 in i 22.432 * [backup-simplify]: Simplify 1 into 1 22.432 * [taylor]: Taking taylor expansion of n in i 22.432 * [backup-simplify]: Simplify n into n 22.432 * [backup-simplify]: Simplify (- 1) into -1 22.432 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.432 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) n) into (/ (- (exp (/ -1 i)) 1) n) 22.432 * [taylor]: Taking taylor expansion of (* -1 (/ (expm1 (/ -1 i)) n)) in n 22.432 * [taylor]: Taking taylor expansion of -1 in n 22.432 * [backup-simplify]: Simplify -1 into -1 22.432 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -1 i)) n) in n 22.432 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.433 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.433 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.433 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.433 * [taylor]: Taking taylor expansion of -1 in n 22.433 * [backup-simplify]: Simplify -1 into -1 22.433 * [taylor]: Taking taylor expansion of i in n 22.433 * [backup-simplify]: Simplify i into i 22.433 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.433 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.433 * [taylor]: Taking taylor expansion of 1 in n 22.433 * [backup-simplify]: Simplify 1 into 1 22.433 * [taylor]: Taking taylor expansion of n in n 22.433 * [backup-simplify]: Simplify 0 into 0 22.433 * [backup-simplify]: Simplify 1 into 1 22.433 * [backup-simplify]: Simplify (- 1) into -1 22.433 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.433 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) 1) into (- (exp (/ -1 i)) 1) 22.433 * [taylor]: Taking taylor expansion of (* -1 (/ (expm1 (/ -1 i)) n)) in n 22.433 * [taylor]: Taking taylor expansion of -1 in n 22.433 * [backup-simplify]: Simplify -1 into -1 22.433 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -1 i)) n) in n 22.433 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 22.433 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 22.433 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 22.433 * [taylor]: Taking taylor expansion of (/ -1 i) in n 22.433 * [taylor]: Taking taylor expansion of -1 in n 22.433 * [backup-simplify]: Simplify -1 into -1 22.433 * [taylor]: Taking taylor expansion of i in n 22.433 * [backup-simplify]: Simplify i into i 22.433 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 22.433 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.433 * [taylor]: Taking taylor expansion of 1 in n 22.433 * [backup-simplify]: Simplify 1 into 1 22.433 * [taylor]: Taking taylor expansion of n in n 22.433 * [backup-simplify]: Simplify 0 into 0 22.433 * [backup-simplify]: Simplify 1 into 1 22.434 * [backup-simplify]: Simplify (- 1) into -1 22.434 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.434 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) 1) into (- (exp (/ -1 i)) 1) 22.434 * [backup-simplify]: Simplify (* -1 (- (exp (/ -1 i)) 1)) into (* -1 (- (exp (/ -1 i)) 1)) 22.434 * [taylor]: Taking taylor expansion of (* -1 (- (exp (/ -1 i)) 1)) in i 22.434 * [taylor]: Taking taylor expansion of -1 in i 22.434 * [backup-simplify]: Simplify -1 into -1 22.434 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 22.434 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 22.434 * [taylor]: Taking taylor expansion of (/ -1 i) in i 22.434 * [taylor]: Taking taylor expansion of -1 in i 22.434 * [backup-simplify]: Simplify -1 into -1 22.434 * [taylor]: Taking taylor expansion of i in i 22.434 * [backup-simplify]: Simplify 0 into 0 22.434 * [backup-simplify]: Simplify 1 into 1 22.435 * [backup-simplify]: Simplify (/ -1 1) into -1 22.435 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 22.435 * [taylor]: Taking taylor expansion of 1 in i 22.435 * [backup-simplify]: Simplify 1 into 1 22.435 * [backup-simplify]: Simplify (- 1) into -1 22.435 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 22.435 * [backup-simplify]: Simplify (* -1 (- (exp (/ -1 i)) 1)) into (* -1 (- (exp (/ -1 i)) 1)) 22.435 * [backup-simplify]: Simplify (* -1 (- (exp (/ -1 i)) 1)) into (* -1 (- (exp (/ -1 i)) 1)) 22.435 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)))) into 0 22.436 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 22.436 * [backup-simplify]: Simplify (- 0) into 0 22.436 * [backup-simplify]: Simplify (+ 0 0) into 0 22.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ -1 i)) 1) (/ 0 1)))) into 0 22.437 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (exp (/ -1 i)) 1))) into 0 22.437 * [taylor]: Taking taylor expansion of 0 in i 22.437 * [backup-simplify]: Simplify 0 into 0 22.437 * [backup-simplify]: Simplify 0 into 0 22.437 * [backup-simplify]: Simplify (- 0) into 0 22.438 * [backup-simplify]: Simplify (+ 0 0) into 0 22.438 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (exp (/ -1 i)) 1))) into 0 22.438 * [backup-simplify]: Simplify 0 into 0 22.438 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.439 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 22.439 * [backup-simplify]: Simplify (- 0) into 0 22.439 * [backup-simplify]: Simplify (+ 0 0) into 0 22.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ -1 i)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 22.441 * [taylor]: Taking taylor expansion of 0 in i 22.441 * [backup-simplify]: Simplify 0 into 0 22.441 * [backup-simplify]: Simplify 0 into 0 22.441 * [backup-simplify]: Simplify 0 into 0 22.441 * [backup-simplify]: Simplify (- 0) into 0 22.441 * [backup-simplify]: Simplify (+ 0 0) into 0 22.442 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 22.442 * [backup-simplify]: Simplify 0 into 0 22.442 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 22.443 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 22.443 * [backup-simplify]: Simplify (- 0) into 0 22.443 * [backup-simplify]: Simplify (+ 0 0) into 0 22.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (exp (/ -1 i)) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.445 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1))))) into 0 22.445 * [taylor]: Taking taylor expansion of 0 in i 22.445 * [backup-simplify]: Simplify 0 into 0 22.445 * [backup-simplify]: Simplify 0 into 0 22.446 * [backup-simplify]: Simplify (* (* -1 (- (exp (/ -1 (/ 1 (- i)))) 1)) (* 1 (/ 1 (/ 1 (- n))))) into (* (- (exp i) 1) n) 22.446 * * * [progress]: simplifying candidates 22.446 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 16 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 22.446 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 24 / 84 ] simplifiying candidate #real (real->posit16 (/ (* n (expm1 i)) i)))))> 22.447 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 22.447 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 53 / 84 ] simplifiying candidate #real (real->posit16 (* 100 (/ (* n (expm1 i)) i)))))> 22.448 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 74 / 84 ] simplifiying candidate #real (real->posit16 (* n (expm1 i)))) i)))> 22.448 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 22.448 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 22.449 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 22.449 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 22.449 * [simplify]: Simplifying: (expm1 (/ (* n (expm1 i)) i)) (log1p (/ (* n (expm1 i)) i)) (- (+ (log n) (log (expm1 i))) (log i)) (- (log (* n (expm1 i))) (log i)) (log (/ (* n (expm1 i)) i)) (exp (/ (* n (expm1 i)) i)) (/ (* (* (* n n) n) (* (* (expm1 i) (expm1 i)) (expm1 i))) (* (* i i) i)) (/ (* (* (* n (expm1 i)) (* n (expm1 i))) (* n (expm1 i))) (* (* i i) i)) (* (cbrt (/ (* n (expm1 i)) i)) (cbrt (/ (* n (expm1 i)) i))) (cbrt (/ (* n (expm1 i)) i)) (* (* (/ (* n (expm1 i)) i) (/ (* n (expm1 i)) i)) (/ (* n (expm1 i)) i)) (sqrt (/ (* n (expm1 i)) i)) (sqrt (/ (* n (expm1 i)) i)) (- (* n (expm1 i))) (- i) (/ n (* (cbrt i) (cbrt i))) (/ (expm1 i) (cbrt i)) (/ n (sqrt i)) (/ (expm1 i) (sqrt i)) (/ n 1) (/ (expm1 i) i) (/ 1 i) (/ i (* n (expm1 i))) (/ (* n (expm1 i)) (* (cbrt i) (cbrt i))) (/ (* n (expm1 i)) (sqrt i)) (/ (* n (expm1 i)) 1) (/ i (expm1 i)) (real->posit16 (/ (* n (expm1 i)) i)) (expm1 (* 100 (/ (* n (expm1 i)) i))) (log1p (* 100 (/ (* n (expm1 i)) i))) (* 100 (/ (* n (expm1 i)) i)) (+ (log 100) (- (+ (log n) (log (expm1 i))) (log i))) (+ (log 100) (- (log (* n (expm1 i))) (log i))) (+ (log 100) (log (/ (* n (expm1 i)) i))) (log (* 100 (/ (* n (expm1 i)) i))) (exp (* 100 (/ (* n (expm1 i)) i))) (* (* (* 100 100) 100) (/ (* (* (* n n) n) (* (* (expm1 i) (expm1 i)) (expm1 i))) (* (* i i) i))) (* (* (* 100 100) 100) (/ (* (* (* n (expm1 i)) (* n (expm1 i))) (* n (expm1 i))) (* (* i i) i))) (* (* (* 100 100) 100) (* (* (/ (* n (expm1 i)) i) (/ (* n (expm1 i)) i)) (/ (* n (expm1 i)) i))) (* (cbrt (* 100 (/ (* n (expm1 i)) i))) (cbrt (* 100 (/ (* n (expm1 i)) i)))) (cbrt (* 100 (/ (* n (expm1 i)) i))) (* (* (* 100 (/ (* n (expm1 i)) i)) (* 100 (/ (* n (expm1 i)) i))) (* 100 (/ (* n (expm1 i)) i))) (sqrt (* 100 (/ (* n (expm1 i)) i))) (sqrt (* 100 (/ (* n (expm1 i)) i))) (* (sqrt 100) (sqrt (/ (* n (expm1 i)) i))) (* (sqrt 100) (sqrt (/ (* n (expm1 i)) i))) (* 100 (* (cbrt (/ (* n (expm1 i)) i)) (cbrt (/ (* n (expm1 i)) i)))) (* 100 (sqrt (/ (* n (expm1 i)) i))) (* 100 (/ n (* (cbrt i) (cbrt i)))) (* 100 (/ n (sqrt i))) (* 100 (/ n 1)) (* 100 1) (* 100 (* n (expm1 i))) (* (cbrt 100) (/ (* n (expm1 i)) i)) (* (sqrt 100) (/ (* n (expm1 i)) i)) (* 100 (/ (* n (expm1 i)) i)) (* 100 (* n (expm1 i))) (real->posit16 (* 100 (/ (* n (expm1 i)) i))) (expm1 (* n (expm1 i))) (log1p (* n (expm1 i))) (* n (expm1 i)) (+ (log n) (log (expm1 i))) (log (* n (expm1 i))) (exp (* n (expm1 i))) (* (* (* n n) n) (* (* (expm1 i) (expm1 i)) (expm1 i))) (* (cbrt (* n (expm1 i))) (cbrt (* n (expm1 i)))) (cbrt (* n (expm1 i))) (* (* (* n (expm1 i)) (* n (expm1 i))) (* n (expm1 i))) (sqrt (* n (expm1 i))) (sqrt (* n (expm1 i))) (* (sqrt n) (sqrt (expm1 i))) (* (sqrt n) (sqrt (expm1 i))) (* n (* (cbrt (expm1 i)) (cbrt (expm1 i)))) (* n (sqrt (expm1 i))) (* n 1) (* (cbrt n) (expm1 i)) (* (sqrt n) (expm1 i)) (* n (expm1 i)) (real->posit16 (* n (expm1 i))) (+ (* 1/6 (* (pow i 2) n)) (+ n (* 1/2 (* i n)))) (/ (* (- (exp i) 1) n) i) (/ (* (- (exp i) 1) n) i) (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) (/ (* (- (* 100 (exp i)) 100) n) i) (/ (* (- (* 100 (exp i)) 100) n) i) (+ (* 1/2 (* (pow i 2) n)) (+ (* 1/6 (* (pow i 3) n)) (* i n))) (* (- (exp i) 1) n) (* (- (exp i) 1) n) 22.450 * * [simplify]: iteration 1: (134 enodes) 22.482 * * [simplify]: iteration 2: (323 enodes) 22.582 * * [simplify]: iteration 3: (1093 enodes) 23.459 * * [simplify]: Extracting #0: cost 64 inf + 0 23.461 * * [simplify]: Extracting #1: cost 799 inf + 44 23.472 * * [simplify]: Extracting #2: cost 1557 inf + 2740 23.487 * * [simplify]: Extracting #3: cost 1109 inf + 82966 23.538 * * [simplify]: Extracting #4: cost 125 inf + 343173 23.602 * * [simplify]: Extracting #5: cost 1 inf + 367294 23.679 * * [simplify]: Extracting #6: cost 0 inf + 366505 23.766 * [simplify]: Simplified to: (expm1 (* (/ n i) (expm1 i))) (log1p (* (/ n i) (expm1 i))) (- (log (expm1 i)) (log (/ i n))) (log (* (/ n i) (expm1 i))) (log (* (/ n i) (expm1 i))) (exp (* (/ n i) (expm1 i))) (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) (* (/ n i) (expm1 i))) (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) (* (/ n i) (expm1 i))) (* (cbrt (* (/ n i) (expm1 i))) (cbrt (* (/ n i) (expm1 i)))) (cbrt (* (/ n i) (expm1 i))) (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) (* (/ n i) (expm1 i))) (sqrt (* (/ n i) (expm1 i))) (sqrt (* (/ n i) (expm1 i))) (* n (- (expm1 i))) (- i) (/ n (* (cbrt i) (cbrt i))) (/ (expm1 i) (cbrt i)) (/ n (sqrt i)) (/ (expm1 i) (sqrt i)) n (/ (expm1 i) i) (/ 1 i) (/ (/ i n) (expm1 i)) (/ (expm1 i) (/ (cbrt i) (/ n (cbrt i)))) (* (expm1 i) (/ n (sqrt i))) (* n (expm1 i)) (/ i (expm1 i)) (real->posit16 (* (/ n i) (expm1 i))) (expm1 (* (/ 100 (/ i n)) (expm1 i))) (log1p (* (/ 100 (/ i n)) (expm1 i))) (* (/ 100 (/ i n)) (expm1 i)) (+ (- (log (expm1 i)) (log (/ i n))) (log 100)) (log (* (/ 100 (/ i n)) (expm1 i))) (log (* (/ 100 (/ i n)) (expm1 i))) (log (* (/ 100 (/ i n)) (expm1 i))) (exp (* (/ 100 (/ i n)) (expm1 i))) (* (* (* (/ 100 (/ i n)) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i))) (* (/ 100 (/ i n)) (expm1 i))) (* (* (* (/ 100 (/ i n)) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i))) (* (/ 100 (/ i n)) (expm1 i))) (* (* (* (/ 100 (/ i n)) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i))) (* (/ 100 (/ i n)) (expm1 i))) (* (cbrt (* (/ 100 (/ i n)) (expm1 i))) (cbrt (* (/ 100 (/ i n)) (expm1 i)))) (cbrt (* (/ 100 (/ i n)) (expm1 i))) (* (* (* (/ 100 (/ i n)) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i))) (* (/ 100 (/ i n)) (expm1 i))) (sqrt (* (/ 100 (/ i n)) (expm1 i))) (sqrt (* (/ 100 (/ i n)) (expm1 i))) (* (sqrt (* (/ n i) (expm1 i))) 10) (* (sqrt (* (/ n i) (expm1 i))) 10) (* (cbrt (* (/ n i) (expm1 i))) (* (cbrt (* (/ n i) (expm1 i))) 100)) (* 100 (sqrt (* (/ n i) (expm1 i)))) (/ (* 100 (/ n (cbrt i))) (cbrt i)) (* 100 (/ n (sqrt i))) (* 100 n) 100 (* (expm1 i) (* 100 n)) (/ (cbrt 100) (/ (/ i n) (expm1 i))) (* (/ (* 10 n) i) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i)) (* (expm1 i) (* 100 n)) (real->posit16 (* (/ 100 (/ i n)) (expm1 i))) (expm1 (* n (expm1 i))) (log1p (* n (expm1 i))) (* n (expm1 i)) (+ (log n) (log (expm1 i))) (log (* n (expm1 i))) (exp (* n (expm1 i))) (* (* n (expm1 i)) (* (* n (expm1 i)) (* n (expm1 i)))) (* (cbrt (* n (expm1 i))) (cbrt (* n (expm1 i)))) (cbrt (* n (expm1 i))) (* (* n (expm1 i)) (* (* n (expm1 i)) (* n (expm1 i)))) (sqrt (* n (expm1 i))) (sqrt (* n (expm1 i))) (* (sqrt n) (sqrt (expm1 i))) (* (sqrt n) (sqrt (expm1 i))) (* n (* (cbrt (expm1 i)) (cbrt (expm1 i)))) (* (sqrt (expm1 i)) n) n (* (expm1 i) (cbrt n)) (* (sqrt n) (expm1 i)) (* n (expm1 i)) (real->posit16 (* n (expm1 i))) (* n (+ (* 1/2 i) (fma (* i i) 1/6 1))) (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i)) (* n (+ (* i 50) (fma 50/3 (* i i) 100))) (* (/ 100 (/ i n)) (expm1 i)) (* (/ 100 (/ i n)) (expm1 i)) (* n (+ i (* (* i i) (+ 1/2 (* i 1/6))))) (* n (expm1 i)) (* n (expm1 i)) 23.770 * * * [progress]: adding candidates to table 24.241 * * [progress]: iteration 4 / 4 24.241 * * * [progress]: picking best candidate 24.272 * * * * [pick]: Picked # 24.272 * * * [progress]: localizing error 24.283 * * * [progress]: generating rewritten candidates 24.283 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 24.310 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 24.319 * * * [progress]: generating series expansions 24.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 24.319 * [backup-simplify]: Simplify (* (* 100 n) (/ (expm1 i) i)) into (* 100 (/ (* (expm1 i) n) i)) 24.319 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in (n i) around 0 24.319 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in i 24.319 * [taylor]: Taking taylor expansion of 100 in i 24.319 * [backup-simplify]: Simplify 100 into 100 24.319 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in i 24.319 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in i 24.319 * [taylor]: Taking taylor expansion of (expm1 i) in i 24.319 * [taylor]: Rewrote expression to (- (exp i) 1) 24.319 * [taylor]: Taking taylor expansion of (exp i) in i 24.319 * [taylor]: Taking taylor expansion of i in i 24.319 * [backup-simplify]: Simplify 0 into 0 24.320 * [backup-simplify]: Simplify 1 into 1 24.320 * [backup-simplify]: Simplify (exp 0) into 1 24.320 * [taylor]: Taking taylor expansion of 1 in i 24.320 * [backup-simplify]: Simplify 1 into 1 24.320 * [taylor]: Taking taylor expansion of n in i 24.320 * [backup-simplify]: Simplify n into n 24.320 * [taylor]: Taking taylor expansion of i in i 24.320 * [backup-simplify]: Simplify 0 into 0 24.320 * [backup-simplify]: Simplify 1 into 1 24.320 * [backup-simplify]: Simplify (- 1) into -1 24.321 * [backup-simplify]: Simplify (+ 1 -1) into 0 24.321 * [backup-simplify]: Simplify (* 0 n) into 0 24.322 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 24.322 * [backup-simplify]: Simplify (- 0) into 0 24.323 * [backup-simplify]: Simplify (+ 1 0) into 1 24.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 24.323 * [backup-simplify]: Simplify (/ n 1) into n 24.323 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in n 24.323 * [taylor]: Taking taylor expansion of 100 in n 24.323 * [backup-simplify]: Simplify 100 into 100 24.323 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 24.323 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 24.323 * [taylor]: Taking taylor expansion of (expm1 i) in n 24.323 * [taylor]: Rewrote expression to (- (exp i) 1) 24.323 * [taylor]: Taking taylor expansion of (exp i) in n 24.323 * [taylor]: Taking taylor expansion of i in n 24.323 * [backup-simplify]: Simplify i into i 24.323 * [backup-simplify]: Simplify (exp i) into (exp i) 24.323 * [taylor]: Taking taylor expansion of 1 in n 24.323 * [backup-simplify]: Simplify 1 into 1 24.323 * [taylor]: Taking taylor expansion of n in n 24.323 * [backup-simplify]: Simplify 0 into 0 24.323 * [backup-simplify]: Simplify 1 into 1 24.323 * [taylor]: Taking taylor expansion of i in n 24.323 * [backup-simplify]: Simplify i into i 24.324 * [backup-simplify]: Simplify (- 1) into -1 24.324 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 24.324 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 24.325 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 24.325 * [backup-simplify]: Simplify (- 0) into 0 24.325 * [backup-simplify]: Simplify (+ 0 0) into 0 24.326 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 24.326 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 24.326 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 i) n) i)) in n 24.326 * [taylor]: Taking taylor expansion of 100 in n 24.326 * [backup-simplify]: Simplify 100 into 100 24.326 * [taylor]: Taking taylor expansion of (/ (* (expm1 i) n) i) in n 24.326 * [taylor]: Taking taylor expansion of (* (expm1 i) n) in n 24.326 * [taylor]: Taking taylor expansion of (expm1 i) in n 24.326 * [taylor]: Rewrote expression to (- (exp i) 1) 24.326 * [taylor]: Taking taylor expansion of (exp i) in n 24.326 * [taylor]: Taking taylor expansion of i in n 24.326 * [backup-simplify]: Simplify i into i 24.326 * [backup-simplify]: Simplify (exp i) into (exp i) 24.326 * [taylor]: Taking taylor expansion of 1 in n 24.326 * [backup-simplify]: Simplify 1 into 1 24.326 * [taylor]: Taking taylor expansion of n in n 24.326 * [backup-simplify]: Simplify 0 into 0 24.326 * [backup-simplify]: Simplify 1 into 1 24.326 * [taylor]: Taking taylor expansion of i in n 24.326 * [backup-simplify]: Simplify i into i 24.327 * [backup-simplify]: Simplify (- 1) into -1 24.327 * [backup-simplify]: Simplify (+ (exp i) -1) into (- (exp i) 1) 24.327 * [backup-simplify]: Simplify (* (- (exp i) 1) 0) into 0 24.328 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 1) 1)))) into 0 24.328 * [backup-simplify]: Simplify (- 0) into 0 24.328 * [backup-simplify]: Simplify (+ 0 0) into 0 24.329 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 1) (* 0 0)) into (- (exp i) 1) 24.329 * [backup-simplify]: Simplify (/ (- (exp i) 1) i) into (/ (- (exp i) 1) i) 24.329 * [backup-simplify]: Simplify (* 100 (/ (- (exp i) 1) i)) into (* 100 (/ (- (exp i) 1) i)) 24.329 * [taylor]: Taking taylor expansion of (* 100 (/ (- (exp i) 1) i)) in i 24.329 * [taylor]: Taking taylor expansion of 100 in i 24.329 * [backup-simplify]: Simplify 100 into 100 24.329 * [taylor]: Taking taylor expansion of (/ (- (exp i) 1) i) in i 24.329 * [taylor]: Taking taylor expansion of (- (exp i) 1) in i 24.329 * [taylor]: Taking taylor expansion of (exp i) in i 24.329 * [taylor]: Taking taylor expansion of i in i 24.329 * [backup-simplify]: Simplify 0 into 0 24.329 * [backup-simplify]: Simplify 1 into 1 24.329 * [backup-simplify]: Simplify (exp 0) into 1 24.329 * [taylor]: Taking taylor expansion of 1 in i 24.329 * [backup-simplify]: Simplify 1 into 1 24.329 * [taylor]: Taking taylor expansion of i in i 24.329 * [backup-simplify]: Simplify 0 into 0 24.329 * [backup-simplify]: Simplify 1 into 1 24.330 * [backup-simplify]: Simplify (- 1) into -1 24.330 * [backup-simplify]: Simplify (+ 1 -1) into 0 24.331 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 24.331 * [backup-simplify]: Simplify (- 0) into 0 24.332 * [backup-simplify]: Simplify (+ 1 0) into 1 24.332 * [backup-simplify]: Simplify (/ 1 1) into 1 24.333 * [backup-simplify]: Simplify (* 100 1) into 100 24.333 * [backup-simplify]: Simplify 100 into 100 24.334 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.334 * [backup-simplify]: Simplify (- 0) into 0 24.334 * [backup-simplify]: Simplify (+ 0 0) into 0 24.335 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 1) (* 0 0))) into 0 24.335 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)))) into 0 24.336 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (/ (- (exp i) 1) i))) into 0 24.336 * [taylor]: Taking taylor expansion of 0 in i 24.336 * [backup-simplify]: Simplify 0 into 0 24.336 * [backup-simplify]: Simplify 0 into 0 24.337 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 24.338 * [backup-simplify]: Simplify (- 0) into 0 24.338 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 24.339 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 24.340 * [backup-simplify]: Simplify (+ (* 100 1/2) (* 0 1)) into 50 24.340 * [backup-simplify]: Simplify 50 into 50 24.341 * [backup-simplify]: Simplify (* (exp i) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.342 * [backup-simplify]: Simplify (- 0) into 0 24.342 * [backup-simplify]: Simplify (+ 0 0) into 0 24.343 * [backup-simplify]: Simplify (+ (* (- (exp i) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 24.343 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ (- (exp i) 1) i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 24.344 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (/ (- (exp i) 1) i)))) into 0 24.344 * [taylor]: Taking taylor expansion of 0 in i 24.344 * [backup-simplify]: Simplify 0 into 0 24.344 * [backup-simplify]: Simplify 0 into 0 24.344 * [backup-simplify]: Simplify 0 into 0 24.346 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 24.346 * [backup-simplify]: Simplify (- 0) into 0 24.347 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 24.348 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 1/6 24.348 * [backup-simplify]: Simplify (+ (* 100 1/6) (+ (* 0 1/2) (* 0 1))) into 50/3 24.348 * [backup-simplify]: Simplify 50/3 into 50/3 24.349 * [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)))) 24.349 * [backup-simplify]: Simplify (* (* 100 (/ 1 n)) (/ (expm1 (/ 1 i)) (/ 1 i))) into (* 100 (/ (* i (expm1 (/ 1 i))) n)) 24.349 * [approximate]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in (n i) around 0 24.349 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in i 24.349 * [taylor]: Taking taylor expansion of 100 in i 24.349 * [backup-simplify]: Simplify 100 into 100 24.349 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in i 24.349 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in i 24.349 * [taylor]: Taking taylor expansion of i in i 24.349 * [backup-simplify]: Simplify 0 into 0 24.349 * [backup-simplify]: Simplify 1 into 1 24.349 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 24.349 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 24.349 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 24.349 * [taylor]: Taking taylor expansion of (/ 1 i) in i 24.349 * [taylor]: Taking taylor expansion of i in i 24.349 * [backup-simplify]: Simplify 0 into 0 24.349 * [backup-simplify]: Simplify 1 into 1 24.349 * [backup-simplify]: Simplify (/ 1 1) into 1 24.349 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.349 * [taylor]: Taking taylor expansion of 1 in i 24.349 * [backup-simplify]: Simplify 1 into 1 24.349 * [taylor]: Taking taylor expansion of n in i 24.349 * [backup-simplify]: Simplify n into n 24.350 * [backup-simplify]: Simplify (- 1) into -1 24.350 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 24.350 * [backup-simplify]: Simplify (* 0 (- (exp (/ 1 i)) 1)) into 0 24.350 * [backup-simplify]: Simplify (- 0) into 0 24.350 * [backup-simplify]: Simplify (+ 0 0) into 0 24.350 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ 1 i)) 1))) into (- (exp (/ 1 i)) 1) 24.351 * [backup-simplify]: Simplify (/ (- (exp (/ 1 i)) 1) n) into (/ (- (exp (/ 1 i)) 1) n) 24.351 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in n 24.351 * [taylor]: Taking taylor expansion of 100 in n 24.351 * [backup-simplify]: Simplify 100 into 100 24.351 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 24.351 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 24.351 * [taylor]: Taking taylor expansion of i in n 24.351 * [backup-simplify]: Simplify i into i 24.351 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 24.351 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 24.351 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 24.351 * [taylor]: Taking taylor expansion of (/ 1 i) in n 24.351 * [taylor]: Taking taylor expansion of i in n 24.351 * [backup-simplify]: Simplify i into i 24.351 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 24.351 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.351 * [taylor]: Taking taylor expansion of 1 in n 24.351 * [backup-simplify]: Simplify 1 into 1 24.351 * [taylor]: Taking taylor expansion of n in n 24.351 * [backup-simplify]: Simplify 0 into 0 24.351 * [backup-simplify]: Simplify 1 into 1 24.351 * [backup-simplify]: Simplify (- 1) into -1 24.351 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 24.351 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 24.351 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 24.351 * [taylor]: Taking taylor expansion of (* 100 (/ (* i (expm1 (/ 1 i))) n)) in n 24.351 * [taylor]: Taking taylor expansion of 100 in n 24.351 * [backup-simplify]: Simplify 100 into 100 24.351 * [taylor]: Taking taylor expansion of (/ (* i (expm1 (/ 1 i))) n) in n 24.351 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in n 24.351 * [taylor]: Taking taylor expansion of i in n 24.351 * [backup-simplify]: Simplify i into i 24.351 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in n 24.352 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 24.352 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in n 24.352 * [taylor]: Taking taylor expansion of (/ 1 i) in n 24.352 * [taylor]: Taking taylor expansion of i in n 24.352 * [backup-simplify]: Simplify i into i 24.352 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i) 24.352 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.352 * [taylor]: Taking taylor expansion of 1 in n 24.352 * [backup-simplify]: Simplify 1 into 1 24.352 * [taylor]: Taking taylor expansion of n in n 24.352 * [backup-simplify]: Simplify 0 into 0 24.352 * [backup-simplify]: Simplify 1 into 1 24.352 * [backup-simplify]: Simplify (- 1) into -1 24.352 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 24.352 * [backup-simplify]: Simplify (* i (- (exp (/ 1 i)) 1)) into (* (- (exp (/ 1 i)) 1) i) 24.352 * [backup-simplify]: Simplify (/ (* (- (exp (/ 1 i)) 1) i) 1) into (* (- (exp (/ 1 i)) 1) i) 24.352 * [backup-simplify]: Simplify (* 100 (* (- (exp (/ 1 i)) 1) i)) into (* 100 (* (- (exp (/ 1 i)) 1) i)) 24.352 * [taylor]: Taking taylor expansion of (* 100 (* (- (exp (/ 1 i)) 1) i)) in i 24.352 * [taylor]: Taking taylor expansion of 100 in i 24.352 * [backup-simplify]: Simplify 100 into 100 24.352 * [taylor]: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i 24.352 * [taylor]: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i 24.352 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 24.352 * [taylor]: Taking taylor expansion of (/ 1 i) in i 24.352 * [taylor]: Taking taylor expansion of i in i 24.352 * [backup-simplify]: Simplify 0 into 0 24.352 * [backup-simplify]: Simplify 1 into 1 24.353 * [backup-simplify]: Simplify (/ 1 1) into 1 24.353 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.353 * [taylor]: Taking taylor expansion of 1 in i 24.353 * [backup-simplify]: Simplify 1 into 1 24.353 * [taylor]: Taking taylor expansion of i in i 24.353 * [backup-simplify]: Simplify 0 into 0 24.353 * [backup-simplify]: Simplify 1 into 1 24.353 * [backup-simplify]: Simplify (- 1) into -1 24.353 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 24.353 * [backup-simplify]: Simplify (- 0) into 0 24.354 * [backup-simplify]: Simplify (+ 0 0) into 0 24.354 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) 24.354 * [backup-simplify]: Simplify (* (- (exp (/ 1 i)) 1) 0) into 0 24.354 * [backup-simplify]: Simplify (+ (* 100 (- (exp (/ 1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ 1 i))) 100) 24.354 * [backup-simplify]: Simplify (- (* 100 (exp (/ 1 i))) 100) into (- (* 100 (exp (/ 1 i))) 100) 24.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 24.355 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 24.355 * [backup-simplify]: Simplify (- 0) into 0 24.355 * [backup-simplify]: Simplify (+ 0 0) into 0 24.355 * [backup-simplify]: Simplify (+ (* i 0) (* 0 (- (exp (/ 1 i)) 1))) into 0 24.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)))) into 0 24.356 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (* (- (exp (/ 1 i)) 1) i))) into 0 24.357 * [taylor]: Taking taylor expansion of 0 in i 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [backup-simplify]: Simplify (- 0) into 0 24.357 * [backup-simplify]: Simplify (+ 0 0) into 0 24.357 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 24.358 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0))) into 0 24.358 * [backup-simplify]: Simplify 0 into 0 24.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 24.359 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.359 * [backup-simplify]: Simplify (- 0) into 0 24.359 * [backup-simplify]: Simplify (+ 0 0) into 0 24.360 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))) into 0 24.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.361 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (* (- (exp (/ 1 i)) 1) i)))) into 0 24.361 * [taylor]: Taking taylor expansion of 0 in i 24.361 * [backup-simplify]: Simplify 0 into 0 24.361 * [backup-simplify]: Simplify 0 into 0 24.361 * [backup-simplify]: Simplify 0 into 0 24.361 * [backup-simplify]: Simplify (- 0) into 0 24.362 * [backup-simplify]: Simplify (+ 0 0) into 0 24.362 * [backup-simplify]: Simplify (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 24.363 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0)))) into 0 24.363 * [backup-simplify]: Simplify 0 into 0 24.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 24.364 * [backup-simplify]: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.365 * [backup-simplify]: Simplify (- 0) into 0 24.365 * [backup-simplify]: Simplify (+ 0 0) into 0 24.366 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))) into 0 24.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.368 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (exp (/ 1 i)) 1) i))))) into 0 24.368 * [taylor]: Taking taylor expansion of 0 in i 24.368 * [backup-simplify]: Simplify 0 into 0 24.368 * [backup-simplify]: Simplify 0 into 0 24.369 * [backup-simplify]: Simplify (* (- (* 100 (exp (/ 1 (/ 1 i)))) 100) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (* 100 (exp i)) 100) n) i) 24.369 * [backup-simplify]: Simplify (* (* 100 (/ 1 (- n))) (/ (expm1 (/ 1 (- i))) (/ 1 (- i)))) into (* 100 (/ (* (expm1 (/ -1 i)) i) n)) 24.369 * [approximate]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in (n i) around 0 24.369 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in i 24.369 * [taylor]: Taking taylor expansion of 100 in i 24.369 * [backup-simplify]: Simplify 100 into 100 24.369 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in i 24.369 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in i 24.369 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 24.369 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 24.369 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 24.369 * [taylor]: Taking taylor expansion of (/ -1 i) in i 24.369 * [taylor]: Taking taylor expansion of -1 in i 24.369 * [backup-simplify]: Simplify -1 into -1 24.369 * [taylor]: Taking taylor expansion of i in i 24.369 * [backup-simplify]: Simplify 0 into 0 24.369 * [backup-simplify]: Simplify 1 into 1 24.370 * [backup-simplify]: Simplify (/ -1 1) into -1 24.370 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.370 * [taylor]: Taking taylor expansion of 1 in i 24.370 * [backup-simplify]: Simplify 1 into 1 24.370 * [taylor]: Taking taylor expansion of i in i 24.370 * [backup-simplify]: Simplify 0 into 0 24.370 * [backup-simplify]: Simplify 1 into 1 24.370 * [taylor]: Taking taylor expansion of n in i 24.370 * [backup-simplify]: Simplify n into n 24.370 * [backup-simplify]: Simplify (- 1) into -1 24.370 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 24.370 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) 0) into 0 24.371 * [backup-simplify]: Simplify (- 0) into 0 24.371 * [backup-simplify]: Simplify (+ 0 0) into 0 24.371 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 1) (* 0 0)) into (- (exp (/ -1 i)) 1) 24.372 * [backup-simplify]: Simplify (/ (- (exp (/ -1 i)) 1) n) into (/ (- (exp (/ -1 i)) 1) n) 24.372 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in n 24.372 * [taylor]: Taking taylor expansion of 100 in n 24.372 * [backup-simplify]: Simplify 100 into 100 24.372 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 24.372 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 24.372 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 24.372 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 24.372 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 24.372 * [taylor]: Taking taylor expansion of (/ -1 i) in n 24.372 * [taylor]: Taking taylor expansion of -1 in n 24.372 * [backup-simplify]: Simplify -1 into -1 24.372 * [taylor]: Taking taylor expansion of i in n 24.372 * [backup-simplify]: Simplify i into i 24.372 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 24.372 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.372 * [taylor]: Taking taylor expansion of 1 in n 24.372 * [backup-simplify]: Simplify 1 into 1 24.372 * [taylor]: Taking taylor expansion of i in n 24.372 * [backup-simplify]: Simplify i into i 24.372 * [taylor]: Taking taylor expansion of n in n 24.372 * [backup-simplify]: Simplify 0 into 0 24.372 * [backup-simplify]: Simplify 1 into 1 24.372 * [backup-simplify]: Simplify (- 1) into -1 24.373 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 24.373 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 24.373 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 24.373 * [taylor]: Taking taylor expansion of (* 100 (/ (* (expm1 (/ -1 i)) i) n)) in n 24.373 * [taylor]: Taking taylor expansion of 100 in n 24.373 * [backup-simplify]: Simplify 100 into 100 24.373 * [taylor]: Taking taylor expansion of (/ (* (expm1 (/ -1 i)) i) n) in n 24.373 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in n 24.373 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in n 24.373 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 24.373 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in n 24.373 * [taylor]: Taking taylor expansion of (/ -1 i) in n 24.373 * [taylor]: Taking taylor expansion of -1 in n 24.373 * [backup-simplify]: Simplify -1 into -1 24.373 * [taylor]: Taking taylor expansion of i in n 24.373 * [backup-simplify]: Simplify i into i 24.373 * [backup-simplify]: Simplify (/ -1 i) into (/ -1 i) 24.373 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.373 * [taylor]: Taking taylor expansion of 1 in n 24.373 * [backup-simplify]: Simplify 1 into 1 24.373 * [taylor]: Taking taylor expansion of i in n 24.373 * [backup-simplify]: Simplify i into i 24.373 * [taylor]: Taking taylor expansion of n in n 24.373 * [backup-simplify]: Simplify 0 into 0 24.373 * [backup-simplify]: Simplify 1 into 1 24.374 * [backup-simplify]: Simplify (- 1) into -1 24.374 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 24.374 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) i) into (* i (- (exp (/ -1 i)) 1)) 24.374 * [backup-simplify]: Simplify (/ (* i (- (exp (/ -1 i)) 1)) 1) into (* i (- (exp (/ -1 i)) 1)) 24.374 * [backup-simplify]: Simplify (* 100 (* i (- (exp (/ -1 i)) 1))) into (* 100 (* i (- (exp (/ -1 i)) 1))) 24.374 * [taylor]: Taking taylor expansion of (* 100 (* i (- (exp (/ -1 i)) 1))) in i 24.374 * [taylor]: Taking taylor expansion of 100 in i 24.374 * [backup-simplify]: Simplify 100 into 100 24.374 * [taylor]: Taking taylor expansion of (* i (- (exp (/ -1 i)) 1)) in i 24.374 * [taylor]: Taking taylor expansion of i in i 24.374 * [backup-simplify]: Simplify 0 into 0 24.374 * [backup-simplify]: Simplify 1 into 1 24.374 * [taylor]: Taking taylor expansion of (- (exp (/ -1 i)) 1) in i 24.374 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 24.374 * [taylor]: Taking taylor expansion of (/ -1 i) in i 24.374 * [taylor]: Taking taylor expansion of -1 in i 24.374 * [backup-simplify]: Simplify -1 into -1 24.374 * [taylor]: Taking taylor expansion of i in i 24.374 * [backup-simplify]: Simplify 0 into 0 24.374 * [backup-simplify]: Simplify 1 into 1 24.375 * [backup-simplify]: Simplify (/ -1 1) into -1 24.375 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.375 * [taylor]: Taking taylor expansion of 1 in i 24.375 * [backup-simplify]: Simplify 1 into 1 24.375 * [backup-simplify]: Simplify (- 0) into 0 24.376 * [backup-simplify]: Simplify (+ 0 0) into 0 24.376 * [backup-simplify]: Simplify (- 1) into -1 24.376 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 24.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ -1 i)) 1))) into (- (exp (/ -1 i)) 1) 24.376 * [backup-simplify]: Simplify (* 0 (- (exp (/ -1 i)) 1)) into 0 24.377 * [backup-simplify]: Simplify (+ (* 100 (- (exp (/ -1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ -1 i))) 100) 24.377 * [backup-simplify]: Simplify (- (* 100 (exp (/ -1 i))) 100) into (- (* 100 (exp (/ -1 i))) 100) 24.377 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)))) into 0 24.378 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 1) 1)))) into 0 24.378 * [backup-simplify]: Simplify (- 0) into 0 24.378 * [backup-simplify]: Simplify (+ 0 0) into 0 24.379 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (* 0 i)) into 0 24.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)))) into 0 24.380 * [backup-simplify]: Simplify (+ (* 100 0) (* 0 (* i (- (exp (/ -1 i)) 1)))) into 0 24.380 * [taylor]: Taking taylor expansion of 0 in i 24.380 * [backup-simplify]: Simplify 0 into 0 24.380 * [backup-simplify]: Simplify 0 into 0 24.380 * [backup-simplify]: Simplify (- 0) into 0 24.381 * [backup-simplify]: Simplify (+ 0 0) into 0 24.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ -1 i)) 1)))) into 0 24.382 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0))) into 0 24.382 * [backup-simplify]: Simplify 0 into 0 24.382 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 24.384 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.384 * [backup-simplify]: Simplify (- 0) into 0 24.384 * [backup-simplify]: Simplify (+ 0 0) into 0 24.385 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (* 0 i))) into 0 24.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.387 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (* i (- (exp (/ -1 i)) 1))))) into 0 24.387 * [taylor]: Taking taylor expansion of 0 in i 24.387 * [backup-simplify]: Simplify 0 into 0 24.387 * [backup-simplify]: Simplify 0 into 0 24.387 * [backup-simplify]: Simplify 0 into 0 24.387 * [backup-simplify]: Simplify (- 0) into 0 24.388 * [backup-simplify]: Simplify (+ 0 0) into 0 24.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ -1 i)) 1))))) into 0 24.390 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0)))) into 0 24.390 * [backup-simplify]: Simplify 0 into 0 24.390 * [backup-simplify]: Simplify (- (/ 0 i) (+ (* (/ -1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 24.391 * [backup-simplify]: Simplify (* (exp (/ -1 i)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.391 * [backup-simplify]: Simplify (- 0) into 0 24.392 * [backup-simplify]: Simplify (+ 0 0) into 0 24.392 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0 24.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* i (- (exp (/ -1 i)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.395 * [backup-simplify]: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* i (- (exp (/ -1 i)) 1)))))) into 0 24.395 * [taylor]: Taking taylor expansion of 0 in i 24.395 * [backup-simplify]: Simplify 0 into 0 24.395 * [backup-simplify]: Simplify 0 into 0 24.395 * [backup-simplify]: Simplify (* (- (* 100 (exp (/ -1 (/ 1 (- i))))) 100) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (* 100 (exp i)) 100) n) i) 24.395 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 24.396 * [backup-simplify]: Simplify (/ (expm1 i) i) into (/ (expm1 i) i) 24.396 * [approximate]: Taking taylor expansion of (/ (expm1 i) i) in (i) around 0 24.396 * [taylor]: Taking taylor expansion of (/ (expm1 i) i) in i 24.396 * [taylor]: Taking taylor expansion of (expm1 i) in i 24.396 * [taylor]: Rewrote expression to (- (exp i) 1) 24.396 * [taylor]: Taking taylor expansion of (exp i) in i 24.396 * [taylor]: Taking taylor expansion of i in i 24.396 * [backup-simplify]: Simplify 0 into 0 24.396 * [backup-simplify]: Simplify 1 into 1 24.396 * [backup-simplify]: Simplify (exp 0) into 1 24.396 * [taylor]: Taking taylor expansion of 1 in i 24.396 * [backup-simplify]: Simplify 1 into 1 24.396 * [taylor]: Taking taylor expansion of i in i 24.396 * [backup-simplify]: Simplify 0 into 0 24.396 * [backup-simplify]: Simplify 1 into 1 24.396 * [backup-simplify]: Simplify (- 1) into -1 24.397 * [backup-simplify]: Simplify (+ 1 -1) into 0 24.397 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 24.398 * [backup-simplify]: Simplify (- 0) into 0 24.398 * [backup-simplify]: Simplify (+ 1 0) into 1 24.398 * [backup-simplify]: Simplify (/ 1 1) into 1 24.398 * [taylor]: Taking taylor expansion of (/ (expm1 i) i) in i 24.398 * [taylor]: Taking taylor expansion of (expm1 i) in i 24.398 * [taylor]: Rewrote expression to (- (exp i) 1) 24.398 * [taylor]: Taking taylor expansion of (exp i) in i 24.399 * [taylor]: Taking taylor expansion of i in i 24.399 * [backup-simplify]: Simplify 0 into 0 24.399 * [backup-simplify]: Simplify 1 into 1 24.399 * [backup-simplify]: Simplify (exp 0) into 1 24.399 * [taylor]: Taking taylor expansion of 1 in i 24.399 * [backup-simplify]: Simplify 1 into 1 24.399 * [taylor]: Taking taylor expansion of i in i 24.399 * [backup-simplify]: Simplify 0 into 0 24.399 * [backup-simplify]: Simplify 1 into 1 24.399 * [backup-simplify]: Simplify (- 1) into -1 24.399 * [backup-simplify]: Simplify (+ 1 -1) into 0 24.400 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 24.400 * [backup-simplify]: Simplify (- 0) into 0 24.401 * [backup-simplify]: Simplify (+ 1 0) into 1 24.401 * [backup-simplify]: Simplify (/ 1 1) into 1 24.401 * [backup-simplify]: Simplify 1 into 1 24.403 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 24.403 * [backup-simplify]: Simplify (- 0) into 0 24.403 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 24.404 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 24.404 * [backup-simplify]: Simplify 1/2 into 1/2 24.406 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 24.406 * [backup-simplify]: Simplify (- 0) into 0 24.407 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6 24.408 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 1/6 24.408 * [backup-simplify]: Simplify 1/6 into 1/6 24.408 * [backup-simplify]: Simplify (+ (* 1/6 (pow i 2)) (+ (* 1/2 i) 1)) into (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) 24.408 * [backup-simplify]: Simplify (/ (expm1 (/ 1 i)) (/ 1 i)) into (* i (expm1 (/ 1 i))) 24.408 * [approximate]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in (i) around 0 24.408 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in i 24.408 * [taylor]: Taking taylor expansion of i in i 24.408 * [backup-simplify]: Simplify 0 into 0 24.408 * [backup-simplify]: Simplify 1 into 1 24.408 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 24.408 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 24.408 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 24.408 * [taylor]: Taking taylor expansion of (/ 1 i) in i 24.409 * [taylor]: Taking taylor expansion of i in i 24.409 * [backup-simplify]: Simplify 0 into 0 24.409 * [backup-simplify]: Simplify 1 into 1 24.409 * [backup-simplify]: Simplify (/ 1 1) into 1 24.409 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.409 * [taylor]: Taking taylor expansion of 1 in i 24.409 * [backup-simplify]: Simplify 1 into 1 24.409 * [taylor]: Taking taylor expansion of (* i (expm1 (/ 1 i))) in i 24.409 * [taylor]: Taking taylor expansion of i in i 24.409 * [backup-simplify]: Simplify 0 into 0 24.409 * [backup-simplify]: Simplify 1 into 1 24.409 * [taylor]: Taking taylor expansion of (expm1 (/ 1 i)) in i 24.409 * [taylor]: Rewrote expression to (- (exp (/ 1 i)) 1) 24.409 * [taylor]: Taking taylor expansion of (exp (/ 1 i)) in i 24.409 * [taylor]: Taking taylor expansion of (/ 1 i) in i 24.409 * [taylor]: Taking taylor expansion of i in i 24.409 * [backup-simplify]: Simplify 0 into 0 24.409 * [backup-simplify]: Simplify 1 into 1 24.410 * [backup-simplify]: Simplify (/ 1 1) into 1 24.410 * [backup-simplify]: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) 24.410 * [taylor]: Taking taylor expansion of 1 in i 24.410 * [backup-simplify]: Simplify 1 into 1 24.410 * [backup-simplify]: Simplify (- 1) into -1 24.410 * [backup-simplify]: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) 24.410 * [backup-simplify]: Simplify (* 0 (- (exp (/ 1 i)) 1)) into 0 24.410 * [backup-simplify]: Simplify 0 into 0 24.411 * [backup-simplify]: Simplify (- 0) into 0 24.411 * [backup-simplify]: Simplify (+ 0 0) into 0 24.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (exp (/ 1 i)) 1))) into (- (exp (/ 1 i)) 1) 24.411 * [backup-simplify]: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) 24.412 * [backup-simplify]: Simplify (- 0) into 0 24.412 * [backup-simplify]: Simplify (+ 0 0) into 0 24.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (exp (/ 1 i)) 1)))) into 0 24.413 * [backup-simplify]: Simplify 0 into 0 24.413 * [backup-simplify]: Simplify (- 0) into 0 24.413 * [backup-simplify]: Simplify (+ 0 0) into 0 24.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))) into 0 24.414 * [backup-simplify]: Simplify 0 into 0 24.415 * [backup-simplify]: Simplify (- 0) into 0 24.419 * [backup-simplify]: Simplify (+ 0 0) into 0 24.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))))) into 0 24.421 * [backup-simplify]: Simplify 0 into 0 24.421 * [backup-simplify]: Simplify (- 0) into 0 24.422 * [backup-simplify]: Simplify (+ 0 0) into 0 24.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))))) into 0 24.423 * [backup-simplify]: Simplify 0 into 0 24.424 * [backup-simplify]: Simplify (- 0) into 0 24.424 * [backup-simplify]: Simplify (+ 0 0) into 0 24.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))))))) into 0 24.426 * [backup-simplify]: Simplify 0 into 0 24.426 * [backup-simplify]: Simplify (- 0) into 0 24.426 * [backup-simplify]: Simplify (+ 0 0) into 0 24.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1))))))))) into 0 24.429 * [backup-simplify]: Simplify 0 into 0 24.429 * [backup-simplify]: Simplify (* (- (exp (/ 1 (/ 1 i))) 1) (/ 1 i)) into (/ (- (exp i) 1) i) 24.429 * [backup-simplify]: Simplify (/ (expm1 (/ 1 (- i))) (/ 1 (- i))) into (* -1 (* (expm1 (/ -1 i)) i)) 24.429 * [approximate]: Taking taylor expansion of (* -1 (* (expm1 (/ -1 i)) i)) in (i) around 0 24.429 * [taylor]: Taking taylor expansion of (* -1 (* (expm1 (/ -1 i)) i)) in i 24.429 * [taylor]: Taking taylor expansion of -1 in i 24.429 * [backup-simplify]: Simplify -1 into -1 24.429 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in i 24.429 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 24.429 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 24.429 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 24.429 * [taylor]: Taking taylor expansion of (/ -1 i) in i 24.429 * [taylor]: Taking taylor expansion of -1 in i 24.429 * [backup-simplify]: Simplify -1 into -1 24.429 * [taylor]: Taking taylor expansion of i in i 24.429 * [backup-simplify]: Simplify 0 into 0 24.429 * [backup-simplify]: Simplify 1 into 1 24.430 * [backup-simplify]: Simplify (/ -1 1) into -1 24.430 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.430 * [taylor]: Taking taylor expansion of 1 in i 24.430 * [backup-simplify]: Simplify 1 into 1 24.430 * [taylor]: Taking taylor expansion of i in i 24.430 * [backup-simplify]: Simplify 0 into 0 24.430 * [backup-simplify]: Simplify 1 into 1 24.430 * [taylor]: Taking taylor expansion of (* -1 (* (expm1 (/ -1 i)) i)) in i 24.430 * [taylor]: Taking taylor expansion of -1 in i 24.430 * [backup-simplify]: Simplify -1 into -1 24.430 * [taylor]: Taking taylor expansion of (* (expm1 (/ -1 i)) i) in i 24.430 * [taylor]: Taking taylor expansion of (expm1 (/ -1 i)) in i 24.430 * [taylor]: Rewrote expression to (- (exp (/ -1 i)) 1) 24.430 * [taylor]: Taking taylor expansion of (exp (/ -1 i)) in i 24.430 * [taylor]: Taking taylor expansion of (/ -1 i) in i 24.430 * [taylor]: Taking taylor expansion of -1 in i 24.430 * [backup-simplify]: Simplify -1 into -1 24.430 * [taylor]: Taking taylor expansion of i in i 24.430 * [backup-simplify]: Simplify 0 into 0 24.430 * [backup-simplify]: Simplify 1 into 1 24.431 * [backup-simplify]: Simplify (/ -1 1) into -1 24.431 * [backup-simplify]: Simplify (exp (/ -1 i)) into (exp (/ -1 i)) 24.431 * [taylor]: Taking taylor expansion of 1 in i 24.431 * [backup-simplify]: Simplify 1 into 1 24.431 * [taylor]: Taking taylor expansion of i in i 24.431 * [backup-simplify]: Simplify 0 into 0 24.431 * [backup-simplify]: Simplify 1 into 1 24.431 * [backup-simplify]: Simplify (- 1) into -1 24.431 * [backup-simplify]: Simplify (+ (exp (/ -1 i)) -1) into (- (exp (/ -1 i)) 1) 24.431 * [backup-simplify]: Simplify (* (- (exp (/ -1 i)) 1) 0) into 0 24.432 * [backup-simplify]: Simplify (* -1 0) into 0 24.432 * [backup-simplify]: Simplify 0 into 0 24.432 * [backup-simplify]: Simplify (- 0) into 0 24.432 * [backup-simplify]: Simplify (+ 0 0) into 0 24.433 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 1) (* 0 0)) into (- (exp (/ -1 i)) 1) 24.433 * [backup-simplify]: Simplify (+ (* -1 (- (exp (/ -1 i)) 1)) (* 0 0)) into (- 1 (exp (/ -1 i))) 24.433 * [backup-simplify]: Simplify (- 1 (exp (/ -1 i))) into (- 1 (exp (/ -1 i))) 24.434 * [backup-simplify]: Simplify (- 0) into 0 24.434 * [backup-simplify]: Simplify (+ 0 0) into 0 24.435 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 24.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0))) into 0 24.435 * [backup-simplify]: Simplify 0 into 0 24.436 * [backup-simplify]: Simplify (- 0) into 0 24.436 * [backup-simplify]: Simplify (+ 0 0) into 0 24.437 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 24.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0)))) into 0 24.438 * [backup-simplify]: Simplify 0 into 0 24.438 * [backup-simplify]: Simplify (- 0) into 0 24.438 * [backup-simplify]: Simplify (+ 0 0) into 0 24.439 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 24.440 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0))))) into 0 24.440 * [backup-simplify]: Simplify 0 into 0 24.441 * [backup-simplify]: Simplify (- 0) into 0 24.441 * [backup-simplify]: Simplify (+ 0 0) into 0 24.442 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 24.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0)))))) into 0 24.444 * [backup-simplify]: Simplify 0 into 0 24.444 * [backup-simplify]: Simplify (- 0) into 0 24.445 * [backup-simplify]: Simplify (+ 0 0) into 0 24.446 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 24.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0))))))) into 0 24.448 * [backup-simplify]: Simplify 0 into 0 24.448 * [backup-simplify]: Simplify (- 0) into 0 24.448 * [backup-simplify]: Simplify (+ 0 0) into 0 24.450 * [backup-simplify]: Simplify (+ (* (- (exp (/ -1 i)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 24.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (exp (/ -1 i)) 1)) (* 0 0)))))))) into 0 24.452 * [backup-simplify]: Simplify 0 into 0 24.452 * [backup-simplify]: Simplify (* (- 1 (exp (/ -1 (/ 1 (- i))))) (/ 1 (- i))) into (* -1 (/ (- 1 (exp i)) i)) 24.452 * * * [progress]: simplifying candidates 24.452 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 24.452 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 24.452 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 24.453 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 35 / 73 ] simplifiying candidate #real (real->posit16 (* (* 100 n) (/ (expm1 i) i)))))> 24.454 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 24.454 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 24.455 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #real (real->posit16 (/ (expm1 i) i)))))> 24.456 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 24.456 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 24.457 * [simplify]: Simplifying: (expm1 (* (* 100 n) (/ (expm1 i) i))) (log1p (* (* 100 n) (/ (expm1 i) i))) (* (* 100 n) (/ (expm1 i) i)) (* (* 100 n) (/ (expm1 i) i)) (+ (+ (log 100) (log n)) (- (log (expm1 i)) (log i))) (+ (+ (log 100) (log n)) (log (/ (expm1 i) i))) (+ (log (* 100 n)) (- (log (expm1 i)) (log i))) (+ (log (* 100 n)) (log (/ (expm1 i) i))) (log (* (* 100 n) (/ (expm1 i) i))) (exp (* (* 100 n) (/ (expm1 i) i))) (* (* (* (* 100 100) 100) (* (* n n) n)) (/ (* (* (expm1 i) (expm1 i)) (expm1 i)) (* (* i i) i))) (* (* (* (* 100 100) 100) (* (* n n) n)) (* (* (/ (expm1 i) i) (/ (expm1 i) i)) (/ (expm1 i) i))) (* (* (* (* 100 n) (* 100 n)) (* 100 n)) (/ (* (* (expm1 i) (expm1 i)) (expm1 i)) (* (* i i) i))) (* (* (* (* 100 n) (* 100 n)) (* 100 n)) (* (* (/ (expm1 i) i) (/ (expm1 i) i)) (/ (expm1 i) i))) (* (cbrt (* (* 100 n) (/ (expm1 i) i))) (cbrt (* (* 100 n) (/ (expm1 i) i)))) (cbrt (* (* 100 n) (/ (expm1 i) i))) (* (* (* (* 100 n) (/ (expm1 i) i)) (* (* 100 n) (/ (expm1 i) i))) (* (* 100 n) (/ (expm1 i) i))) (sqrt (* (* 100 n) (/ (expm1 i) i))) (sqrt (* (* 100 n) (/ (expm1 i) i))) (* (* 100 n) (* (cbrt (/ (expm1 i) i)) (cbrt (/ (expm1 i) i)))) (* (* 100 n) (sqrt (/ (expm1 i) i))) (* (* 100 n) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) (* (cbrt i) (cbrt i)))) (* (* 100 n) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) (sqrt i))) (* (* 100 n) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) 1)) (* (* 100 n) (/ (sqrt (expm1 i)) (* (cbrt i) (cbrt i)))) (* (* 100 n) (/ (sqrt (expm1 i)) (sqrt i))) (* (* 100 n) (/ (sqrt (expm1 i)) 1)) (* (* 100 n) (/ 1 (* (cbrt i) (cbrt i)))) (* (* 100 n) (/ 1 (sqrt i))) (* (* 100 n) (/ 1 1)) (* (* 100 n) 1) (* (* 100 n) (expm1 i)) (* n (/ (expm1 i) i)) (* (* 100 n) (expm1 i)) (real->posit16 (* (* 100 n) (/ (expm1 i) i))) (expm1 (/ (expm1 i) i)) (log1p (/ (expm1 i) i)) (- (log (expm1 i)) (log i)) (log (/ (expm1 i) i)) (exp (/ (expm1 i) i)) (/ (* (* (expm1 i) (expm1 i)) (expm1 i)) (* (* i i) i)) (* (cbrt (/ (expm1 i) i)) (cbrt (/ (expm1 i) i))) (cbrt (/ (expm1 i) i)) (* (* (/ (expm1 i) i) (/ (expm1 i) i)) (/ (expm1 i) i)) (sqrt (/ (expm1 i) i)) (sqrt (/ (expm1 i) i)) (- (expm1 i)) (- i) (/ (exp i) i) (/ 1 i) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) (* (cbrt i) (cbrt i))) (/ (cbrt (expm1 i)) (cbrt i)) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) (sqrt i)) (/ (cbrt (expm1 i)) (sqrt i)) (/ (* (cbrt (expm1 i)) (cbrt (expm1 i))) 1) (/ (cbrt (expm1 i)) i) (/ (sqrt (expm1 i)) (* (cbrt i) (cbrt i))) (/ (sqrt (expm1 i)) (cbrt i)) (/ (sqrt (expm1 i)) (sqrt i)) (/ (sqrt (expm1 i)) (sqrt i)) (/ (sqrt (expm1 i)) 1) (/ (sqrt (expm1 i)) i) (/ 1 (* (cbrt i) (cbrt i))) (/ (expm1 i) (cbrt i)) (/ 1 (sqrt i)) (/ (expm1 i) (sqrt i)) (/ 1 1) (/ (expm1 i) i) (/ 1 i) (/ i (expm1 i)) (/ (expm1 i) (* (cbrt i) (cbrt i))) (/ (expm1 i) (sqrt i)) (/ (expm1 i) 1) (/ i (cbrt (expm1 i))) (/ i (sqrt (expm1 i))) (/ i (expm1 i)) (real->posit16 (/ (expm1 i) i)) (+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n)))) (/ (* (- (* 100 (exp i)) 100) n) i) (/ (* (- (* 100 (exp i)) 100) n) i) (+ (* 1/2 i) (+ (* 1/6 (pow i 2)) 1)) (/ (- (exp i) 1) i) (* -1 (/ (- 1 (exp i)) i)) 24.459 * * [simplify]: iteration 1: (127 enodes) 24.488 * * [simplify]: iteration 2: (337 enodes) 24.639 * * [simplify]: iteration 3: (1175 enodes) 25.954 * * [simplify]: Extracting #0: cost 64 inf + 0 25.956 * * [simplify]: Extracting #1: cost 546 inf + 1 25.963 * * [simplify]: Extracting #2: cost 1135 inf + 5370 25.981 * * [simplify]: Extracting #3: cost 917 inf + 48525 26.035 * * [simplify]: Extracting #4: cost 255 inf + 220657 26.122 * * [simplify]: Extracting #5: cost 6 inf + 274647 26.191 * * [simplify]: Extracting #6: cost 0 inf + 272884 26.270 * [simplify]: Simplified to: (expm1 (* (* (/ n i) (expm1 i)) 100)) (log1p (* (* (/ n i) (expm1 i)) 100)) (* (* (/ n i) (expm1 i)) 100) (* (* (/ n i) (expm1 i)) 100) (log (* (* (/ n i) (expm1 i)) 100)) (+ (log (* 100 n)) (log (/ (expm1 i) i))) (log (* (* (/ n i) (expm1 i)) 100)) (+ (log (* 100 n)) (log (/ (expm1 i) i))) (log (* (* (/ n i) (expm1 i)) 100)) (exp (* (* (/ n i) (expm1 i)) 100)) (* (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) 10000) (* 100 (* (/ n i) (expm1 i)))) (* (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) 10000) (* 100 (* (/ n i) (expm1 i)))) (* (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) 10000) (* 100 (* (/ n i) (expm1 i)))) (* (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) 10000) (* 100 (* (/ n i) (expm1 i)))) (* (cbrt (* (* (/ n i) (expm1 i)) 100)) (cbrt (* (* (/ n i) (expm1 i)) 100))) (cbrt (* (* (/ n i) (expm1 i)) 100)) (* (* (* (* (/ n i) (expm1 i)) (* (/ n i) (expm1 i))) 10000) (* 100 (* (/ n i) (expm1 i)))) (sqrt (* (* (/ n i) (expm1 i)) 100)) (sqrt (* (* (/ n i) (expm1 i)) 100)) (* (* (cbrt (/ (expm1 i) i)) (* (cbrt (/ (expm1 i) i)) 100)) n) (* (* (sqrt (/ (expm1 i) i)) 100) n) (* (* (/ (cbrt (expm1 i)) (cbrt i)) (/ (cbrt (expm1 i)) (cbrt i))) (* 100 n)) (/ (* 100 n) (/ (/ (sqrt i) (cbrt (expm1 i))) (cbrt (expm1 i)))) (* (* (* (cbrt (expm1 i)) (cbrt (expm1 i))) 100) n) (* (/ (sqrt (expm1 i)) (cbrt i)) (/ (* 100 n) (cbrt i))) (/ (* (sqrt (expm1 i)) (* 100 n)) (sqrt i)) (* (sqrt (expm1 i)) (* 100 n)) (* n (/ 100 (* (cbrt i) (cbrt i)))) (* (/ 100 (sqrt i)) n) (* 100 n) (* 100 n) (* (* 100 n) (expm1 i)) (* (/ n i) (expm1 i)) (* (* 100 n) (expm1 i)) (real->posit16 (* (* (/ n i) (expm1 i)) 100)) (expm1 (/ (expm1 i) i)) (log1p (/ (expm1 i) i)) (log (/ (expm1 i) i)) (log (/ (expm1 i) i)) (exp (/ (expm1 i) i)) (* (/ (expm1 i) i) (* (/ (expm1 i) i) (/ (expm1 i) i))) (* (cbrt (/ (expm1 i) i)) (cbrt (/ (expm1 i) i))) (cbrt (/ (expm1 i) i)) (* (/ (expm1 i) i) (* (/ (expm1 i) i) (/ (expm1 i) i))) (sqrt (/ (expm1 i) i)) (sqrt (/ (expm1 i) i)) (- (expm1 i)) (- i) (/ (exp i) i) (/ 1 i) (* (/ (cbrt (expm1 i)) (cbrt i)) (/ (cbrt (expm1 i)) (cbrt i))) (/ (cbrt (expm1 i)) (cbrt i)) (* (/ (cbrt (expm1 i)) (sqrt i)) (cbrt (expm1 i))) (/ (cbrt (expm1 i)) (sqrt i)) (* (cbrt (expm1 i)) (cbrt (expm1 i))) (/ (cbrt (expm1 i)) i) (/ (/ (sqrt (expm1 i)) (cbrt i)) (cbrt i)) (/ (sqrt (expm1 i)) (cbrt i)) (/ (sqrt (expm1 i)) (sqrt i)) (/ (sqrt (expm1 i)) (sqrt i)) (sqrt (expm1 i)) (/ (sqrt (expm1 i)) i) (/ 1 (* (cbrt i) (cbrt i))) (/ (expm1 i) (cbrt i)) (/ 1 (sqrt i)) (/ (expm1 i) (sqrt i)) 1 (/ (expm1 i) i) (/ 1 i) (/ i (expm1 i)) (/ (expm1 i) (* (cbrt i) (cbrt i))) (/ (expm1 i) (sqrt i)) (expm1 i) (/ i (cbrt (expm1 i))) (/ i (sqrt (expm1 i))) (/ i (expm1 i)) (real->posit16 (/ (expm1 i) i)) (fma n (* i 50) (fma (* i i) (* 50/3 n) (* 100 n))) (/ n (/ i (fma (exp i) 100 -100))) (/ n (/ i (fma (exp i) 100 -100))) (fma (* i i) 1/6 (fma i 1/2 1)) (/ (expm1 i) i) (- (/ (- 1 (exp i)) i)) 26.274 * * * [progress]: adding candidates to table 26.693 * [progress]: [Phase 3 of 3] Extracting. 26.693 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 26.694 * * * [regime-changes]: Trying 2 branch expressions: (n i) 26.694 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # # #) 26.780 * * * * [regimes]: Trying to branch on i from (# # # # # # # # # # # # #) 26.857 * * * [regime]: Found split indices: #