54.144 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.121 * * [simplify]: iteration 0: 13 enodes 0.124 * * [simplify]: iteration 1: 29 enodes 0.131 * * [simplify]: iteration 2: 59 enodes 0.150 * * [simplify]: iteration 3: 120 enodes 0.210 * * [simplify]: iteration 4: 328 enodes 0.455 * * [simplify]: iteration 5: 1551 enodes 0.990 * * [simplify]: iteration complete: 5000 enodes 0.990 * * [simplify]: Extracting #0: cost 1 inf + 0 0.990 * * [simplify]: Extracting #1: cost 126 inf + 0 0.995 * * [simplify]: Extracting #2: cost 1587 inf + 1 1.005 * * [simplify]: Extracting #3: cost 2139 inf + 128 1.024 * * [simplify]: Extracting #4: cost 2273 inf + 2329 1.056 * * [simplify]: Extracting #5: cost 1683 inf + 209087 1.231 * * [simplify]: Extracting #6: cost 131 inf + 1062869 1.429 * * [simplify]: Extracting #7: cost 0 inf + 1169132 1.613 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.615 * * [progress]: iteration 1 / 4 1.615 * * * [progress]: picking best candidate 1.623 * * * * [pick]: Picked # 1.623 * * * [progress]: localizing error 1.651 * * * [progress]: generating rewritten candidates 1.651 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.677 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.702 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.712 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.783 * * * [progress]: generating series expansions 1.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.784 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.784 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [backup-simplify]: Simplify 0.5 into 0.5 1.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [backup-simplify]: Simplify 1.0 into 1.0 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.785 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.785 * [taylor]: Taking taylor expansion of 2.0 in k 1.785 * [backup-simplify]: Simplify 2.0 into 2.0 1.785 * [taylor]: Taking taylor expansion of (* n PI) in k 1.785 * [taylor]: Taking taylor expansion of n in k 1.785 * [backup-simplify]: Simplify n into n 1.785 * [taylor]: Taking taylor expansion of PI in k 1.785 * [backup-simplify]: Simplify PI into PI 1.785 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.785 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.785 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.786 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.787 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.787 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.787 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.787 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.787 * [taylor]: Taking taylor expansion of 0.5 in n 1.787 * [backup-simplify]: Simplify 0.5 into 0.5 1.787 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.787 * [taylor]: Taking taylor expansion of 1.0 in n 1.787 * [backup-simplify]: Simplify 1.0 into 1.0 1.787 * [taylor]: Taking taylor expansion of k in n 1.787 * [backup-simplify]: Simplify k into k 1.787 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.787 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.787 * [taylor]: Taking taylor expansion of 2.0 in n 1.787 * [backup-simplify]: Simplify 2.0 into 2.0 1.788 * [taylor]: Taking taylor expansion of (* n PI) in n 1.788 * [taylor]: Taking taylor expansion of n in n 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [taylor]: Taking taylor expansion of PI in n 1.788 * [backup-simplify]: Simplify PI into PI 1.788 * [backup-simplify]: Simplify (* 0 PI) into 0 1.789 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.792 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.793 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.793 * [backup-simplify]: Simplify (- k) into (- k) 1.793 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.794 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.796 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.798 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.798 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.798 * [taylor]: Taking taylor expansion of 0.5 in n 1.798 * [backup-simplify]: Simplify 0.5 into 0.5 1.798 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [backup-simplify]: Simplify 1.0 into 1.0 1.798 * [taylor]: Taking taylor expansion of k in n 1.798 * [backup-simplify]: Simplify k into k 1.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.798 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.798 * [taylor]: Taking taylor expansion of 2.0 in n 1.798 * [backup-simplify]: Simplify 2.0 into 2.0 1.798 * [taylor]: Taking taylor expansion of (* n PI) in n 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [taylor]: Taking taylor expansion of PI in n 1.798 * [backup-simplify]: Simplify PI into PI 1.799 * [backup-simplify]: Simplify (* 0 PI) into 0 1.799 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.802 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.803 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.804 * [backup-simplify]: Simplify (- k) into (- k) 1.804 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.804 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.805 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.806 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.808 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.808 * [taylor]: Taking taylor expansion of 0.5 in k 1.808 * [backup-simplify]: Simplify 0.5 into 0.5 1.808 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.808 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.808 * [taylor]: Taking taylor expansion of 1.0 in k 1.808 * [backup-simplify]: Simplify 1.0 into 1.0 1.808 * [taylor]: Taking taylor expansion of k in k 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.808 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.808 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.808 * [taylor]: Taking taylor expansion of 2.0 in k 1.808 * [backup-simplify]: Simplify 2.0 into 2.0 1.808 * [taylor]: Taking taylor expansion of PI in k 1.808 * [backup-simplify]: Simplify PI into PI 1.809 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.810 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.810 * [taylor]: Taking taylor expansion of (log n) in k 1.810 * [taylor]: Taking taylor expansion of n in k 1.810 * [backup-simplify]: Simplify n into n 1.810 * [backup-simplify]: Simplify (log n) into (log n) 1.811 * [backup-simplify]: Simplify (- 0) into 0 1.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.812 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.813 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.815 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.816 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.817 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.826 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.828 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in k 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (- 1) into -1 1.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.835 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.837 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1.840 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.844 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 1.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.853 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.855 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.855 * [taylor]: Taking taylor expansion of 0 in k 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.859 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.865 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 1.876 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 1.876 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.876 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.876 * [taylor]: Taking taylor expansion of 0.5 in k 1.876 * [backup-simplify]: Simplify 0.5 into 0.5 1.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.876 * [taylor]: Taking taylor expansion of 1.0 in k 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.877 * [taylor]: Taking taylor expansion of k in k 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.877 * [taylor]: Taking taylor expansion of 2.0 in k 1.877 * [backup-simplify]: Simplify 2.0 into 2.0 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.877 * [taylor]: Taking taylor expansion of PI in k 1.877 * [backup-simplify]: Simplify PI into PI 1.877 * [taylor]: Taking taylor expansion of n in k 1.877 * [backup-simplify]: Simplify n into n 1.877 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.877 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.877 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.877 * [backup-simplify]: Simplify (- 1) into -1 1.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.878 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.878 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.878 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 1.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.878 * [taylor]: Taking taylor expansion of 0.5 in n 1.878 * [backup-simplify]: Simplify 0.5 into 0.5 1.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.878 * [taylor]: Taking taylor expansion of k in n 1.879 * [backup-simplify]: Simplify k into k 1.879 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.879 * [taylor]: Taking taylor expansion of 2.0 in n 1.879 * [backup-simplify]: Simplify 2.0 into 2.0 1.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.879 * [taylor]: Taking taylor expansion of PI in n 1.879 * [backup-simplify]: Simplify PI into PI 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ PI 1) into PI 1.884 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.885 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.885 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.885 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.885 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.886 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 1.887 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 1.887 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.887 * [taylor]: Taking taylor expansion of 0.5 in n 1.887 * [backup-simplify]: Simplify 0.5 into 0.5 1.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.888 * [taylor]: Taking taylor expansion of k in n 1.888 * [backup-simplify]: Simplify k into k 1.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.888 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.888 * [taylor]: Taking taylor expansion of 2.0 in n 1.888 * [backup-simplify]: Simplify 2.0 into 2.0 1.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.888 * [taylor]: Taking taylor expansion of PI in n 1.888 * [backup-simplify]: Simplify PI into PI 1.888 * [taylor]: Taking taylor expansion of n in n 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (/ PI 1) into PI 1.888 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.889 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.889 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.889 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.889 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.891 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 1.892 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 1.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 1.892 * [taylor]: Taking taylor expansion of 0.5 in k 1.892 * [backup-simplify]: Simplify 0.5 into 0.5 1.892 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 1.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.892 * [taylor]: Taking taylor expansion of 1.0 in k 1.892 * [backup-simplify]: Simplify 1.0 into 1.0 1.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.892 * [taylor]: Taking taylor expansion of k in k 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.892 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.892 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.892 * [taylor]: Taking taylor expansion of 2.0 in k 1.892 * [backup-simplify]: Simplify 2.0 into 2.0 1.893 * [taylor]: Taking taylor expansion of PI in k 1.893 * [backup-simplify]: Simplify PI into PI 1.893 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.894 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.894 * [taylor]: Taking taylor expansion of (log n) in k 1.894 * [taylor]: Taking taylor expansion of n in k 1.894 * [backup-simplify]: Simplify n into n 1.894 * [backup-simplify]: Simplify (log n) into (log n) 1.894 * [backup-simplify]: Simplify (- 1) into -1 1.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.894 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.895 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.896 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.896 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.897 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 1.898 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.903 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.904 * [taylor]: Taking taylor expansion of 0 in k 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.911 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.912 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.918 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.922 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.923 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.923 * [taylor]: Taking taylor expansion of 0 in k 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 1.926 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.926 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.926 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.926 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.926 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.926 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.926 * [taylor]: Taking taylor expansion of 0.5 in k 1.926 * [backup-simplify]: Simplify 0.5 into 0.5 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.926 * [taylor]: Taking taylor expansion of k in k 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of 1.0 in k 1.927 * [backup-simplify]: Simplify 1.0 into 1.0 1.927 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.927 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.927 * [taylor]: Taking taylor expansion of -2.0 in k 1.927 * [backup-simplify]: Simplify -2.0 into -2.0 1.927 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.927 * [taylor]: Taking taylor expansion of PI in k 1.927 * [backup-simplify]: Simplify PI into PI 1.927 * [taylor]: Taking taylor expansion of n in k 1.927 * [backup-simplify]: Simplify n into n 1.927 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.927 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.927 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.928 * [backup-simplify]: Simplify (+ 1 0) into 1 1.928 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.928 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.928 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 1.928 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.928 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.928 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.928 * [taylor]: Taking taylor expansion of 0.5 in n 1.928 * [backup-simplify]: Simplify 0.5 into 0.5 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.928 * [taylor]: Taking taylor expansion of k in n 1.928 * [backup-simplify]: Simplify k into k 1.928 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.928 * [taylor]: Taking taylor expansion of 1.0 in n 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.928 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.928 * [taylor]: Taking taylor expansion of -2.0 in n 1.928 * [backup-simplify]: Simplify -2.0 into -2.0 1.928 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.928 * [taylor]: Taking taylor expansion of PI in n 1.928 * [backup-simplify]: Simplify PI into PI 1.928 * [taylor]: Taking taylor expansion of n in n 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ PI 1) into PI 1.929 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.930 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.930 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.930 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.932 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 1.933 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 1.933 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.933 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.933 * [taylor]: Taking taylor expansion of 0.5 in n 1.933 * [backup-simplify]: Simplify 0.5 into 0.5 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.933 * [taylor]: Taking taylor expansion of k in n 1.933 * [backup-simplify]: Simplify k into k 1.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.933 * [taylor]: Taking taylor expansion of 1.0 in n 1.933 * [backup-simplify]: Simplify 1.0 into 1.0 1.933 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.933 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.933 * [taylor]: Taking taylor expansion of -2.0 in n 1.933 * [backup-simplify]: Simplify -2.0 into -2.0 1.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.933 * [taylor]: Taking taylor expansion of PI in n 1.933 * [backup-simplify]: Simplify PI into PI 1.933 * [taylor]: Taking taylor expansion of n in n 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ PI 1) into PI 1.934 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.935 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.935 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.935 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.937 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 1.937 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.938 * [taylor]: Taking taylor expansion of 0.5 in k 1.938 * [backup-simplify]: Simplify 0.5 into 0.5 1.938 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.938 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.938 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.938 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.938 * [taylor]: Taking taylor expansion of -2.0 in k 1.938 * [backup-simplify]: Simplify -2.0 into -2.0 1.938 * [taylor]: Taking taylor expansion of PI in k 1.938 * [backup-simplify]: Simplify PI into PI 1.938 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.939 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.939 * [taylor]: Taking taylor expansion of (log n) in k 1.939 * [taylor]: Taking taylor expansion of n in k 1.939 * [backup-simplify]: Simplify n into n 1.939 * [backup-simplify]: Simplify (log n) into (log n) 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.939 * [taylor]: Taking taylor expansion of k in k 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of 1.0 in k 1.939 * [backup-simplify]: Simplify 1.0 into 1.0 1.939 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.940 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.941 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 1.942 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.943 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 1.943 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.948 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.949 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.949 * [taylor]: Taking taylor expansion of 0 in k 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.953 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.956 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.959 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.959 * [taylor]: Taking taylor expansion of 0 in k 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.968 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.974 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.977 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in k 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.978 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.979 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.979 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.979 * [taylor]: Taking taylor expansion of 2.0 in n 1.979 * [backup-simplify]: Simplify 2.0 into 2.0 1.979 * [taylor]: Taking taylor expansion of (* n PI) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [taylor]: Taking taylor expansion of PI in n 1.979 * [backup-simplify]: Simplify PI into PI 1.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.979 * [taylor]: Taking taylor expansion of 2.0 in n 1.979 * [backup-simplify]: Simplify 2.0 into 2.0 1.979 * [taylor]: Taking taylor expansion of (* n PI) in n 1.980 * [taylor]: Taking taylor expansion of n in n 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of PI in n 1.980 * [backup-simplify]: Simplify PI into PI 1.980 * [backup-simplify]: Simplify (* 0 PI) into 0 1.981 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.984 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.985 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.011 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.011 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.011 * [taylor]: Taking taylor expansion of 2.0 in n 2.011 * [backup-simplify]: Simplify 2.0 into 2.0 2.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.011 * [taylor]: Taking taylor expansion of PI in n 2.011 * [backup-simplify]: Simplify PI into PI 2.011 * [taylor]: Taking taylor expansion of n in n 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ PI 1) into PI 2.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.012 * [taylor]: Taking taylor expansion of 2.0 in n 2.012 * [backup-simplify]: Simplify 2.0 into 2.0 2.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.012 * [taylor]: Taking taylor expansion of PI in n 2.012 * [backup-simplify]: Simplify PI into PI 2.012 * [taylor]: Taking taylor expansion of n in n 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ PI 1) into PI 2.013 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.013 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.023 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.023 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.023 * [taylor]: Taking taylor expansion of -2.0 in n 2.023 * [backup-simplify]: Simplify -2.0 into -2.0 2.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.023 * [taylor]: Taking taylor expansion of PI in n 2.023 * [backup-simplify]: Simplify PI into PI 2.023 * [taylor]: Taking taylor expansion of n in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ PI 1) into PI 2.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.023 * [taylor]: Taking taylor expansion of -2.0 in n 2.023 * [backup-simplify]: Simplify -2.0 into -2.0 2.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.023 * [taylor]: Taking taylor expansion of PI in n 2.023 * [backup-simplify]: Simplify PI into PI 2.023 * [taylor]: Taking taylor expansion of n in n 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ PI 1) into PI 2.024 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.024 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.034 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.034 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.034 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.034 * [taylor]: Taking taylor expansion of 1.0 in k 2.034 * [backup-simplify]: Simplify 1.0 into 1.0 2.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.034 * [taylor]: Taking taylor expansion of k in k 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (sqrt 0) into 0 2.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.035 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.035 * [taylor]: Taking taylor expansion of 1.0 in k 2.035 * [backup-simplify]: Simplify 1.0 into 1.0 2.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.035 * [taylor]: Taking taylor expansion of k in k 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [backup-simplify]: Simplify (sqrt 0) into 0 2.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.038 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.040 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.047 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.047 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.054 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.056 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 2.057 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.057 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.057 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.057 * [taylor]: Taking taylor expansion of 1.0 in k 2.057 * [backup-simplify]: Simplify 1.0 into 1.0 2.057 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (sqrt 0) into 0 2.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.059 * [taylor]: Taking taylor expansion of 1.0 in k 2.059 * [backup-simplify]: Simplify 1.0 into 1.0 2.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.059 * [taylor]: Taking taylor expansion of k in k 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (sqrt 0) into 0 2.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.061 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.067 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.069 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.069 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.076 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.078 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 2.079 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.079 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.079 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.079 * [taylor]: Taking taylor expansion of 1.0 in k 2.079 * [backup-simplify]: Simplify 1.0 into 1.0 2.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.079 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.079 * [taylor]: Taking taylor expansion of -1 in k 2.079 * [backup-simplify]: Simplify -1 into -1 2.079 * [taylor]: Taking taylor expansion of k in k 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (/ -1 1) into -1 2.080 * [backup-simplify]: Simplify (sqrt 0) into 0 2.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.082 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.082 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.082 * [taylor]: Taking taylor expansion of 1.0 in k 2.082 * [backup-simplify]: Simplify 1.0 into 1.0 2.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.082 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.082 * [taylor]: Taking taylor expansion of -1 in k 2.082 * [backup-simplify]: Simplify -1 into -1 2.082 * [taylor]: Taking taylor expansion of k in k 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ -1 1) into -1 2.083 * [backup-simplify]: Simplify (sqrt 0) into 0 2.084 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.085 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.092 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.092 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.099 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.099 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.100 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.100 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.101 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 2.101 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 2.101 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 2.101 * [taylor]: Taking taylor expansion of 1.0 in n 2.101 * [backup-simplify]: Simplify 1.0 into 1.0 2.101 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.101 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.101 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.101 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.101 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.101 * [taylor]: Taking taylor expansion of 0.5 in n 2.101 * [backup-simplify]: Simplify 0.5 into 0.5 2.101 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.101 * [taylor]: Taking taylor expansion of 1.0 in n 2.101 * [backup-simplify]: Simplify 1.0 into 1.0 2.101 * [taylor]: Taking taylor expansion of k in n 2.101 * [backup-simplify]: Simplify k into k 2.101 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.101 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.101 * [taylor]: Taking taylor expansion of 2.0 in n 2.101 * [backup-simplify]: Simplify 2.0 into 2.0 2.101 * [taylor]: Taking taylor expansion of (* n PI) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [taylor]: Taking taylor expansion of PI in n 2.101 * [backup-simplify]: Simplify PI into PI 2.102 * [backup-simplify]: Simplify (* 0 PI) into 0 2.102 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.104 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.104 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.104 * [backup-simplify]: Simplify (- k) into (- k) 2.105 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.105 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.106 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.107 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.107 * [taylor]: Taking taylor expansion of k in n 2.107 * [backup-simplify]: Simplify k into k 2.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.107 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.107 * [taylor]: Taking taylor expansion of 1.0 in k 2.107 * [backup-simplify]: Simplify 1.0 into 1.0 2.108 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.108 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.108 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.108 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.108 * [taylor]: Taking taylor expansion of 0.5 in k 2.108 * [backup-simplify]: Simplify 0.5 into 0.5 2.108 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.108 * [taylor]: Taking taylor expansion of 1.0 in k 2.108 * [backup-simplify]: Simplify 1.0 into 1.0 2.108 * [taylor]: Taking taylor expansion of k in k 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.108 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.108 * [taylor]: Taking taylor expansion of 2.0 in k 2.108 * [backup-simplify]: Simplify 2.0 into 2.0 2.108 * [taylor]: Taking taylor expansion of (* n PI) in k 2.108 * [taylor]: Taking taylor expansion of n in k 2.108 * [backup-simplify]: Simplify n into n 2.108 * [taylor]: Taking taylor expansion of PI in k 2.108 * [backup-simplify]: Simplify PI into PI 2.108 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.108 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.108 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.108 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.109 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.109 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.109 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.109 * [taylor]: Taking taylor expansion of k in k 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [backup-simplify]: Simplify (sqrt 0) into 0 2.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.110 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.110 * [taylor]: Taking taylor expansion of 1.0 in k 2.110 * [backup-simplify]: Simplify 1.0 into 1.0 2.111 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.111 * [taylor]: Taking taylor expansion of 0.5 in k 2.111 * [backup-simplify]: Simplify 0.5 into 0.5 2.111 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.111 * [taylor]: Taking taylor expansion of 1.0 in k 2.111 * [backup-simplify]: Simplify 1.0 into 1.0 2.111 * [taylor]: Taking taylor expansion of k in k 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.111 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.111 * [taylor]: Taking taylor expansion of 2.0 in k 2.111 * [backup-simplify]: Simplify 2.0 into 2.0 2.111 * [taylor]: Taking taylor expansion of (* n PI) in k 2.111 * [taylor]: Taking taylor expansion of n in k 2.111 * [backup-simplify]: Simplify n into n 2.111 * [taylor]: Taking taylor expansion of PI in k 2.111 * [backup-simplify]: Simplify PI into PI 2.111 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.111 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.111 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.112 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.112 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.112 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.112 * [taylor]: Taking taylor expansion of k in k 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [backup-simplify]: Simplify (sqrt 0) into 0 2.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.114 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 2.114 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.114 * [taylor]: Taking taylor expansion of 0 in n 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.115 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.115 * [backup-simplify]: Simplify (- 1) into -1 2.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.117 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.118 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 2.119 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.120 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.120 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.120 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.120 * [taylor]: Taking taylor expansion of +nan.0 in n 2.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.120 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.120 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.120 * [taylor]: Taking taylor expansion of 0.5 in n 2.120 * [backup-simplify]: Simplify 0.5 into 0.5 2.120 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.121 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.121 * [taylor]: Taking taylor expansion of 1.0 in n 2.121 * [backup-simplify]: Simplify 1.0 into 1.0 2.121 * [taylor]: Taking taylor expansion of (log PI) in n 2.121 * [taylor]: Taking taylor expansion of PI in n 2.121 * [backup-simplify]: Simplify PI into PI 2.125 * [backup-simplify]: Simplify (log PI) into (log PI) 2.126 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.127 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.127 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.127 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.127 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.127 * [taylor]: Taking taylor expansion of 1.0 in n 2.127 * [backup-simplify]: Simplify 1.0 into 1.0 2.127 * [taylor]: Taking taylor expansion of (log n) in n 2.127 * [taylor]: Taking taylor expansion of n in n 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (log 1) into 0 2.128 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.128 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.128 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.128 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.128 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.128 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.128 * [taylor]: Taking taylor expansion of 1.0 in n 2.128 * [backup-simplify]: Simplify 1.0 into 1.0 2.128 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.128 * [taylor]: Taking taylor expansion of 2.0 in n 2.128 * [backup-simplify]: Simplify 2.0 into 2.0 2.129 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.129 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.130 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.130 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.131 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.132 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.134 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.135 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.137 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.139 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.140 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.145 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.152 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 2.156 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 2.161 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 2.161 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.162 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.162 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.162 * [taylor]: Taking taylor expansion of +nan.0 in n 2.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.162 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.162 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.162 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.162 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.162 * [taylor]: Taking taylor expansion of 0.5 in n 2.162 * [backup-simplify]: Simplify 0.5 into 0.5 2.162 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.162 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.162 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.162 * [taylor]: Taking taylor expansion of 1.0 in n 2.162 * [backup-simplify]: Simplify 1.0 into 1.0 2.162 * [taylor]: Taking taylor expansion of (log PI) in n 2.162 * [taylor]: Taking taylor expansion of PI in n 2.162 * [backup-simplify]: Simplify PI into PI 2.163 * [backup-simplify]: Simplify (log PI) into (log PI) 2.164 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.165 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.165 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.166 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.166 * [taylor]: Taking taylor expansion of 1.0 in n 2.166 * [backup-simplify]: Simplify 1.0 into 1.0 2.166 * [taylor]: Taking taylor expansion of (log n) in n 2.166 * [taylor]: Taking taylor expansion of n in n 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (log 1) into 0 2.167 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.167 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.167 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.167 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.167 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.167 * [taylor]: Taking taylor expansion of 1.0 in n 2.167 * [backup-simplify]: Simplify 1.0 into 1.0 2.167 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.167 * [taylor]: Taking taylor expansion of 2.0 in n 2.167 * [backup-simplify]: Simplify 2.0 into 2.0 2.167 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.168 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.170 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.171 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.172 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.174 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.175 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.177 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.177 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.177 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.177 * [taylor]: Taking taylor expansion of 2.0 in n 2.177 * [backup-simplify]: Simplify 2.0 into 2.0 2.177 * [taylor]: Taking taylor expansion of (* n PI) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [taylor]: Taking taylor expansion of PI in n 2.177 * [backup-simplify]: Simplify PI into PI 2.177 * [backup-simplify]: Simplify (* 0 PI) into 0 2.178 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.181 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.182 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.182 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.182 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.182 * [taylor]: Taking taylor expansion of +nan.0 in n 2.182 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.182 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.183 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.183 * [taylor]: Taking taylor expansion of 0.5 in n 2.183 * [backup-simplify]: Simplify 0.5 into 0.5 2.183 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.183 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.183 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.183 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.183 * [taylor]: Taking taylor expansion of 1.0 in n 2.183 * [backup-simplify]: Simplify 1.0 into 1.0 2.183 * [taylor]: Taking taylor expansion of (log PI) in n 2.183 * [taylor]: Taking taylor expansion of PI in n 2.183 * [backup-simplify]: Simplify PI into PI 2.183 * [backup-simplify]: Simplify (log PI) into (log PI) 2.184 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.186 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.186 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.186 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [backup-simplify]: Simplify 1.0 into 1.0 2.186 * [taylor]: Taking taylor expansion of (log n) in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.186 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (log 1) into 0 2.187 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.187 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.188 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.188 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.188 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.188 * [taylor]: Taking taylor expansion of 1.0 in n 2.188 * [backup-simplify]: Simplify 1.0 into 1.0 2.188 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.188 * [taylor]: Taking taylor expansion of 2.0 in n 2.188 * [backup-simplify]: Simplify 2.0 into 2.0 2.188 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.189 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.189 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.190 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.191 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.192 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.192 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.193 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.194 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.196 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.198 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.199 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.200 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.202 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.206 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 2.210 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.211 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.213 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.215 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.216 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.221 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.229 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.231 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.238 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.242 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.248 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 2.254 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.271 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.272 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.272 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.272 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.272 * [taylor]: Taking taylor expansion of +nan.0 in n 2.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.272 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.272 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.272 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.272 * [taylor]: Taking taylor expansion of 0.5 in n 2.272 * [backup-simplify]: Simplify 0.5 into 0.5 2.272 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.272 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.272 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.272 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.272 * [taylor]: Taking taylor expansion of 1.0 in n 2.272 * [backup-simplify]: Simplify 1.0 into 1.0 2.272 * [taylor]: Taking taylor expansion of (log PI) in n 2.272 * [taylor]: Taking taylor expansion of PI in n 2.272 * [backup-simplify]: Simplify PI into PI 2.273 * [backup-simplify]: Simplify (log PI) into (log PI) 2.274 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.275 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.275 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.275 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.276 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.276 * [taylor]: Taking taylor expansion of 1.0 in n 2.276 * [backup-simplify]: Simplify 1.0 into 1.0 2.276 * [taylor]: Taking taylor expansion of (log n) in n 2.276 * [taylor]: Taking taylor expansion of n in n 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (log 1) into 0 2.277 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.277 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.277 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.277 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.277 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.277 * [taylor]: Taking taylor expansion of 1.0 in n 2.277 * [backup-simplify]: Simplify 1.0 into 1.0 2.277 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.277 * [taylor]: Taking taylor expansion of 2.0 in n 2.277 * [backup-simplify]: Simplify 2.0 into 2.0 2.277 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.278 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.280 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.280 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.282 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.283 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.284 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.286 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.286 * [taylor]: Taking taylor expansion of 2.0 in n 2.286 * [backup-simplify]: Simplify 2.0 into 2.0 2.286 * [taylor]: Taking taylor expansion of (* n PI) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of PI in n 2.286 * [backup-simplify]: Simplify PI into PI 2.286 * [backup-simplify]: Simplify (* 0 PI) into 0 2.287 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.290 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.291 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.291 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.291 * [taylor]: Taking taylor expansion of +nan.0 in n 2.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.291 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.291 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.291 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.291 * [taylor]: Taking taylor expansion of 0.5 in n 2.291 * [backup-simplify]: Simplify 0.5 into 0.5 2.292 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.292 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.292 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.292 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.292 * [taylor]: Taking taylor expansion of 1.0 in n 2.292 * [backup-simplify]: Simplify 1.0 into 1.0 2.292 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.292 * [taylor]: Taking taylor expansion of 2.0 in n 2.292 * [backup-simplify]: Simplify 2.0 into 2.0 2.292 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.293 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.295 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.295 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.295 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.295 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.295 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.295 * [taylor]: Taking taylor expansion of 1.0 in n 2.295 * [backup-simplify]: Simplify 1.0 into 1.0 2.295 * [taylor]: Taking taylor expansion of (log n) in n 2.295 * [taylor]: Taking taylor expansion of n in n 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (log 1) into 0 2.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.296 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.296 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.296 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.296 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.296 * [taylor]: Taking taylor expansion of 1.0 in n 2.296 * [backup-simplify]: Simplify 1.0 into 1.0 2.296 * [taylor]: Taking taylor expansion of (log PI) in n 2.296 * [taylor]: Taking taylor expansion of PI in n 2.296 * [backup-simplify]: Simplify PI into PI 2.297 * [backup-simplify]: Simplify (log PI) into (log PI) 2.298 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.299 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.300 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.301 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.303 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.304 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.305 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.306 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.306 * [taylor]: Taking taylor expansion of +nan.0 in n 2.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.306 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.306 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.306 * [taylor]: Taking taylor expansion of 0.5 in n 2.306 * [backup-simplify]: Simplify 0.5 into 0.5 2.306 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.306 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.306 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.306 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.306 * [taylor]: Taking taylor expansion of 1.0 in n 2.306 * [backup-simplify]: Simplify 1.0 into 1.0 2.306 * [taylor]: Taking taylor expansion of (log PI) in n 2.306 * [taylor]: Taking taylor expansion of PI in n 2.306 * [backup-simplify]: Simplify PI into PI 2.307 * [backup-simplify]: Simplify (log PI) into (log PI) 2.308 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.309 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.309 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.309 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.309 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.309 * [taylor]: Taking taylor expansion of 1.0 in n 2.309 * [backup-simplify]: Simplify 1.0 into 1.0 2.309 * [taylor]: Taking taylor expansion of (log n) in n 2.309 * [taylor]: Taking taylor expansion of n in n 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (log 1) into 0 2.310 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.310 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.310 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.311 * [taylor]: Taking taylor expansion of 1.0 in n 2.311 * [backup-simplify]: Simplify 1.0 into 1.0 2.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.311 * [taylor]: Taking taylor expansion of 2.0 in n 2.311 * [backup-simplify]: Simplify 2.0 into 2.0 2.311 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.312 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.314 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.314 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.315 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.317 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.318 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.319 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.320 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.320 * [backup-simplify]: Simplify 2.0 into 2.0 2.320 * [taylor]: Taking taylor expansion of (* n PI) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [taylor]: Taking taylor expansion of PI in n 2.320 * [backup-simplify]: Simplify PI into PI 2.320 * [backup-simplify]: Simplify (* 0 PI) into 0 2.321 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.324 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.325 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.326 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.331 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.333 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.334 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.335 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.335 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.337 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.339 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 2.340 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 2.342 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 2.349 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 2.355 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))))) 2.364 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.381 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.398 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 2.428 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 2.429 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 2.429 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 2.429 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 2.429 * [taylor]: Taking taylor expansion of 1.0 in n 2.429 * [backup-simplify]: Simplify 1.0 into 1.0 2.429 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 2.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.429 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.429 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.429 * [taylor]: Taking taylor expansion of 0.5 in n 2.429 * [backup-simplify]: Simplify 0.5 into 0.5 2.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.429 * [taylor]: Taking taylor expansion of 1.0 in n 2.429 * [backup-simplify]: Simplify 1.0 into 1.0 2.429 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.430 * [taylor]: Taking taylor expansion of k in n 2.430 * [backup-simplify]: Simplify k into k 2.430 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.430 * [taylor]: Taking taylor expansion of 2.0 in n 2.430 * [backup-simplify]: Simplify 2.0 into 2.0 2.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.430 * [taylor]: Taking taylor expansion of PI in n 2.430 * [backup-simplify]: Simplify PI into PI 2.430 * [taylor]: Taking taylor expansion of n in n 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ PI 1) into PI 2.431 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.431 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.432 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.432 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.432 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.433 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.434 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.434 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.434 * [taylor]: Taking taylor expansion of k in n 2.434 * [backup-simplify]: Simplify k into k 2.434 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.434 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.434 * [taylor]: Taking taylor expansion of 1.0 in k 2.434 * [backup-simplify]: Simplify 1.0 into 1.0 2.434 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.435 * [taylor]: Taking taylor expansion of 0.5 in k 2.435 * [backup-simplify]: Simplify 0.5 into 0.5 2.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.435 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [backup-simplify]: Simplify 1.0 into 1.0 2.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.435 * [taylor]: Taking taylor expansion of k in k 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (/ 1 1) into 1 2.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.435 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.435 * [taylor]: Taking taylor expansion of 2.0 in k 2.435 * [backup-simplify]: Simplify 2.0 into 2.0 2.435 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.435 * [taylor]: Taking taylor expansion of PI in k 2.435 * [backup-simplify]: Simplify PI into PI 2.435 * [taylor]: Taking taylor expansion of n in k 2.435 * [backup-simplify]: Simplify n into n 2.435 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.435 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.435 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.435 * [backup-simplify]: Simplify (- 1) into -1 2.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.436 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.436 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.436 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.436 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (sqrt 0) into 0 2.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.438 * [taylor]: Taking taylor expansion of 1.0 in k 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.438 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.438 * [taylor]: Taking taylor expansion of 0.5 in k 2.438 * [backup-simplify]: Simplify 0.5 into 0.5 2.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.438 * [taylor]: Taking taylor expansion of 1.0 in k 2.438 * [backup-simplify]: Simplify 1.0 into 1.0 2.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.438 * [taylor]: Taking taylor expansion of k in k 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.438 * [taylor]: Taking taylor expansion of 2.0 in k 2.438 * [backup-simplify]: Simplify 2.0 into 2.0 2.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.438 * [taylor]: Taking taylor expansion of PI in k 2.438 * [backup-simplify]: Simplify PI into PI 2.438 * [taylor]: Taking taylor expansion of n in k 2.438 * [backup-simplify]: Simplify n into n 2.438 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.438 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.439 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.439 * [backup-simplify]: Simplify (- 1) into -1 2.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.439 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.439 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.440 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.440 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.440 * [taylor]: Taking taylor expansion of k in k 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (sqrt 0) into 0 2.441 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.441 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 2.441 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.441 * [taylor]: Taking taylor expansion of 0 in n 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.442 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.442 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.442 * [taylor]: Taking taylor expansion of +nan.0 in n 2.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.442 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.442 * [taylor]: Taking taylor expansion of 0.5 in n 2.442 * [backup-simplify]: Simplify 0.5 into 0.5 2.442 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.443 * [taylor]: Taking taylor expansion of k in n 2.443 * [backup-simplify]: Simplify k into k 2.443 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [backup-simplify]: Simplify 2.0 into 2.0 2.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [backup-simplify]: Simplify PI into PI 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (/ PI 1) into PI 2.443 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.444 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.444 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.444 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.446 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.447 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.447 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.448 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.449 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.450 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.450 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.452 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.453 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.453 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.453 * [taylor]: Taking taylor expansion of +nan.0 in n 2.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.453 * [taylor]: Taking taylor expansion of 0.5 in n 2.453 * [backup-simplify]: Simplify 0.5 into 0.5 2.453 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.453 * [taylor]: Taking taylor expansion of 1.0 in n 2.453 * [backup-simplify]: Simplify 1.0 into 1.0 2.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.453 * [taylor]: Taking taylor expansion of k in n 2.453 * [backup-simplify]: Simplify k into k 2.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.454 * [taylor]: Taking taylor expansion of 2.0 in n 2.454 * [backup-simplify]: Simplify 2.0 into 2.0 2.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.454 * [taylor]: Taking taylor expansion of PI in n 2.454 * [backup-simplify]: Simplify PI into PI 2.454 * [taylor]: Taking taylor expansion of n in n 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (/ PI 1) into PI 2.454 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.455 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.455 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.455 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.457 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.458 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.458 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.459 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.460 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.461 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.463 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.465 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 2.468 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 2.470 * [backup-simplify]: Simplify (- 0) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.475 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.477 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.477 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.477 * [taylor]: Taking taylor expansion of +nan.0 in n 2.477 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.477 * [taylor]: Taking taylor expansion of 0.5 in n 2.477 * [backup-simplify]: Simplify 0.5 into 0.5 2.477 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [backup-simplify]: Simplify 1.0 into 1.0 2.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.477 * [taylor]: Taking taylor expansion of k in n 2.477 * [backup-simplify]: Simplify k into k 2.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.477 * [taylor]: Taking taylor expansion of 2.0 in n 2.477 * [backup-simplify]: Simplify 2.0 into 2.0 2.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.477 * [taylor]: Taking taylor expansion of PI in n 2.477 * [backup-simplify]: Simplify PI into PI 2.477 * [taylor]: Taking taylor expansion of n in n 2.477 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (/ PI 1) into PI 2.478 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.480 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.480 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.480 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.483 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.484 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.485 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.486 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.488 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.489 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.494 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 2.495 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.495 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.495 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [backup-simplify]: Simplify 1.0 into 1.0 2.495 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.495 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.495 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.495 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.495 * [taylor]: Taking taylor expansion of 0.5 in n 2.495 * [backup-simplify]: Simplify 0.5 into 0.5 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.495 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.495 * [taylor]: Taking taylor expansion of k in n 2.495 * [backup-simplify]: Simplify k into k 2.495 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.495 * [taylor]: Taking taylor expansion of 1.0 in n 2.495 * [backup-simplify]: Simplify 1.0 into 1.0 2.495 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.495 * [taylor]: Taking taylor expansion of -2.0 in n 2.495 * [backup-simplify]: Simplify -2.0 into -2.0 2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.495 * [taylor]: Taking taylor expansion of PI in n 2.495 * [backup-simplify]: Simplify PI into PI 2.495 * [taylor]: Taking taylor expansion of n in n 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ PI 1) into PI 2.497 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.498 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.498 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.498 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.501 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.502 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.502 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.502 * [taylor]: Taking taylor expansion of -1 in n 2.502 * [backup-simplify]: Simplify -1 into -1 2.502 * [taylor]: Taking taylor expansion of k in n 2.502 * [backup-simplify]: Simplify k into k 2.502 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.502 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.502 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.504 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 2.504 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [backup-simplify]: Simplify 1.0 into 1.0 2.504 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.504 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.504 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.504 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [backup-simplify]: Simplify 0.5 into 0.5 2.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.504 * [taylor]: Taking taylor expansion of k in k 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [taylor]: Taking taylor expansion of 1.0 in k 2.505 * [backup-simplify]: Simplify 1.0 into 1.0 2.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.505 * [taylor]: Taking taylor expansion of -2.0 in k 2.505 * [backup-simplify]: Simplify -2.0 into -2.0 2.505 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.505 * [taylor]: Taking taylor expansion of PI in k 2.505 * [backup-simplify]: Simplify PI into PI 2.505 * [taylor]: Taking taylor expansion of n in k 2.505 * [backup-simplify]: Simplify n into n 2.505 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.505 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.505 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.506 * [backup-simplify]: Simplify (+ 1 0) into 1 2.506 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.506 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.507 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.507 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.507 * [taylor]: Taking taylor expansion of -1 in k 2.507 * [backup-simplify]: Simplify -1 into -1 2.507 * [taylor]: Taking taylor expansion of k in k 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (/ -1 1) into -1 2.508 * [backup-simplify]: Simplify (sqrt 0) into 0 2.509 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.510 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.510 * [taylor]: Taking taylor expansion of 1.0 in k 2.510 * [backup-simplify]: Simplify 1.0 into 1.0 2.510 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.510 * [taylor]: Taking taylor expansion of 0.5 in k 2.510 * [backup-simplify]: Simplify 0.5 into 0.5 2.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.510 * [taylor]: Taking taylor expansion of k in k 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [taylor]: Taking taylor expansion of 1.0 in k 2.511 * [backup-simplify]: Simplify 1.0 into 1.0 2.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.511 * [taylor]: Taking taylor expansion of -2.0 in k 2.511 * [backup-simplify]: Simplify -2.0 into -2.0 2.511 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.511 * [taylor]: Taking taylor expansion of PI in k 2.511 * [backup-simplify]: Simplify PI into PI 2.511 * [taylor]: Taking taylor expansion of n in k 2.511 * [backup-simplify]: Simplify n into n 2.511 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.511 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.511 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.511 * [backup-simplify]: Simplify (+ 1 0) into 1 2.512 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.512 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.512 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.512 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.512 * [taylor]: Taking taylor expansion of -1 in k 2.512 * [backup-simplify]: Simplify -1 into -1 2.512 * [taylor]: Taking taylor expansion of k in k 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (/ -1 1) into -1 2.513 * [backup-simplify]: Simplify (sqrt 0) into 0 2.514 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.515 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.515 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.515 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.515 * [taylor]: Taking taylor expansion of +nan.0 in n 2.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.515 * [taylor]: Taking taylor expansion of 0.5 in n 2.515 * [backup-simplify]: Simplify 0.5 into 0.5 2.515 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.515 * [taylor]: Taking taylor expansion of -2.0 in n 2.516 * [backup-simplify]: Simplify -2.0 into -2.0 2.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.516 * [backup-simplify]: Simplify PI into PI 2.516 * [taylor]: Taking taylor expansion of n in n 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (/ PI 1) into PI 2.517 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.518 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.518 * [taylor]: Taking taylor expansion of k in n 2.518 * [backup-simplify]: Simplify k into k 2.518 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [backup-simplify]: Simplify 1.0 into 1.0 2.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.520 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.521 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.522 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.523 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.525 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.526 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.536 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.536 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.537 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.537 * [taylor]: Taking taylor expansion of +nan.0 in n 2.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.537 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.537 * [taylor]: Taking taylor expansion of 0.5 in n 2.537 * [backup-simplify]: Simplify 0.5 into 0.5 2.537 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.537 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.537 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.537 * [taylor]: Taking taylor expansion of -2.0 in n 2.537 * [backup-simplify]: Simplify -2.0 into -2.0 2.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.537 * [taylor]: Taking taylor expansion of PI in n 2.537 * [backup-simplify]: Simplify PI into PI 2.537 * [taylor]: Taking taylor expansion of n in n 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (/ PI 1) into PI 2.537 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.538 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.538 * [taylor]: Taking taylor expansion of k in n 2.538 * [backup-simplify]: Simplify k into k 2.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.538 * [taylor]: Taking taylor expansion of 1.0 in n 2.538 * [backup-simplify]: Simplify 1.0 into 1.0 2.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.539 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.540 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.541 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.542 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.543 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.544 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.549 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 2.551 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.552 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.556 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.557 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.557 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.557 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.557 * [taylor]: Taking taylor expansion of +nan.0 in n 2.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.557 * [taylor]: Taking taylor expansion of 0.5 in n 2.557 * [backup-simplify]: Simplify 0.5 into 0.5 2.557 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.557 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.557 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.557 * [taylor]: Taking taylor expansion of -2.0 in n 2.557 * [backup-simplify]: Simplify -2.0 into -2.0 2.557 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.557 * [taylor]: Taking taylor expansion of PI in n 2.557 * [backup-simplify]: Simplify PI into PI 2.557 * [taylor]: Taking taylor expansion of n in n 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (/ PI 1) into PI 2.558 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.558 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.559 * [taylor]: Taking taylor expansion of k in n 2.559 * [backup-simplify]: Simplify k into k 2.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.559 * [taylor]: Taking taylor expansion of 1.0 in n 2.559 * [backup-simplify]: Simplify 1.0 into 1.0 2.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.560 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.560 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.561 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.562 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.563 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.564 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.565 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.570 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 2.570 * * * [progress]: simplifying candidates 2.575 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt 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n PI)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 2.582 * * [simplify]: iteration 0: 361 enodes 2.736 * * [simplify]: iteration 1: 1013 enodes 3.443 * * [simplify]: iteration 2: 4865 enodes 4.671 * * [simplify]: iteration complete: 5000 enodes 4.671 * * [simplify]: Extracting #0: cost 129 inf + 0 4.672 * * [simplify]: Extracting #1: cost 758 inf + 2 4.677 * * [simplify]: Extracting #2: cost 1373 inf + 2524 4.695 * * [simplify]: Extracting #3: cost 1241 inf + 76633 4.747 * * [simplify]: Extracting #4: cost 552 inf + 291583 4.836 * * [simplify]: Extracting #5: cost 332 inf + 429815 4.916 * * [simplify]: Extracting #6: cost 338 inf + 465869 5.025 * * [simplify]: Extracting #7: cost 270 inf + 514394 5.170 * * [simplify]: Extracting #8: cost 74 inf + 703108 5.279 * * [simplify]: Extracting #9: cost 23 inf + 759463 5.481 * * [simplify]: Extracting #10: cost 3 inf + 798776 5.636 * * [simplify]: Extracting #11: cost 0 inf + 804622 5.852 * * [simplify]: Extracting #12: cost 0 inf + 803812 6.059 * * [simplify]: Extracting #13: cost 0 inf + 803337 6.231 * * [simplify]: Extracting #14: cost 0 inf + 803102 6.411 * * [simplify]: Extracting #15: cost 0 inf + 803042 6.610 * * [simplify]: Extracting #16: cost 0 inf + 803022 6.793 * [simplify]: Simplified to: (expm1 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log1p (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI (* n 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* n 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* n 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* n 2.0)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* n 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* n 2.0)) (sqrt (- 1.0 k))) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 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(cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (* (* 1.0 (* 1.0 1.0)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (sqrt k) k)) (* (* (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* PI (* n 2.0)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k))) (/ (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) 1.0) (cbrt (sqrt k))) (/ (* 1.0 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow (* PI (* n 2.0)) (/ 1.0 2.0)) 1.0) (sqrt k)) (* 1.0 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (fma (* (* (log (* 2.0 PI)) 0.25) (* (log n) (exp (* (log (* PI (* n 2.0))) 0.5)))) (* k k) (- (fma (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* (log (* PI (* n 2.0))) 0.5)))) (* (* k k) 0.125) (fma (* 0.125 (exp (* (log (* PI (* n 2.0))) 0.5))) (* (* k k) (* (log n) (log n))) (exp (* (log (* PI (* n 2.0))) 0.5)))) (* 0.5 (* k (+ (* (log n) (exp (* (log (* PI (* n 2.0))) 0.5))) (* (log (* 2.0 PI)) (exp (* (log (* PI (* n 2.0))) 0.5)))))))) (exp (* (- 1.0 k) (* (log (* PI (* n 2.0))) 0.5))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* PI (* n 2.0)) (* PI (* n 2.0)) (* PI (* n 2.0)) (- (fma (* k k) +nan.0 (fma +nan.0 k (- +nan.0)))) (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) (/ (/ +nan.0 (* k k)) k)))) (- (/ (- +nan.0) (* k k)) (+ (/ (- +nan.0) k) +nan.0)) (+ (fma (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (* k k) (+ (* (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- (* (log n) (* k k)))) (- (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (fma (* (* (log (* 2.0 PI)) k) (* (log (* 2.0 PI)) k)) (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- (fma +nan.0 (* (* (log n) (* k k)) (* (log (* 2.0 PI)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5))) (+ (* (- +nan.0) (* k (* (log (* 2.0 PI)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)))) (- (* (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (* (log n) k)) (* +nan.0 (- (* (* k k) (* (log (* 2.0 PI)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5))) (* (* (* (log n) k) (* (log n) k)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)))))))))))) (* (* k (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- +nan.0))) (+ (* +nan.0 (- (/ (exp (* (- 1.0 k) (* (log (* PI (* n 2.0))) 0.5))) k) (/ (exp (* (- 1.0 k) (* (log (* PI (* n 2.0))) 0.5))) (* k (* k k))))) (/ (- (* +nan.0 (exp (* (- 1.0 k) (* (log (* PI (* n 2.0))) 0.5))))) (* k k))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (/ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) k))) (* (- +nan.0) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) 6.805 * * * [progress]: adding candidates to table 7.895 * * [progress]: iteration 2 / 4 7.895 * * * [progress]: picking best candidate 7.972 * * * * [pick]: Picked # 7.972 * * * [progress]: localizing error 8.013 * * * [progress]: generating rewritten candidates 8.013 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.052 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.060 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.100 * * * [progress]: generating series expansions 8.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.101 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 8.101 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.101 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.101 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.101 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.101 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.101 * [taylor]: Taking taylor expansion of 0.5 in k 8.101 * [backup-simplify]: Simplify 0.5 into 0.5 8.101 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.101 * [taylor]: Taking taylor expansion of 1.0 in k 8.101 * [backup-simplify]: Simplify 1.0 into 1.0 8.101 * [taylor]: Taking taylor expansion of k in k 8.101 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify 1 into 1 8.101 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.101 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.101 * [taylor]: Taking taylor expansion of 2.0 in k 8.101 * [backup-simplify]: Simplify 2.0 into 2.0 8.101 * [taylor]: Taking taylor expansion of (* n PI) in k 8.101 * [taylor]: Taking taylor expansion of n in k 8.101 * [backup-simplify]: Simplify n into n 8.101 * [taylor]: Taking taylor expansion of PI in k 8.101 * [backup-simplify]: Simplify PI into PI 8.102 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.102 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.102 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.102 * [backup-simplify]: Simplify (- 0) into 0 8.102 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.103 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.103 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.103 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.103 * [taylor]: Taking taylor expansion of 0.5 in n 8.103 * [backup-simplify]: Simplify 0.5 into 0.5 8.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.103 * [taylor]: Taking taylor expansion of 1.0 in n 8.103 * [backup-simplify]: Simplify 1.0 into 1.0 8.103 * [taylor]: Taking taylor expansion of k in n 8.103 * [backup-simplify]: Simplify k into k 8.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.103 * [taylor]: Taking taylor expansion of 2.0 in n 8.103 * [backup-simplify]: Simplify 2.0 into 2.0 8.103 * [taylor]: Taking taylor expansion of (* n PI) in n 8.103 * [taylor]: Taking taylor expansion of n in n 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.103 * [taylor]: Taking taylor expansion of PI in n 8.103 * [backup-simplify]: Simplify PI into PI 8.103 * [backup-simplify]: Simplify (* 0 PI) into 0 8.104 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.106 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.106 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.106 * [backup-simplify]: Simplify (- k) into (- k) 8.107 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.107 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.108 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.108 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.109 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.109 * [taylor]: Taking taylor expansion of 0.5 in n 8.109 * [backup-simplify]: Simplify 0.5 into 0.5 8.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.109 * [taylor]: Taking taylor expansion of 1.0 in n 8.109 * [backup-simplify]: Simplify 1.0 into 1.0 8.109 * [taylor]: Taking taylor expansion of k in n 8.109 * [backup-simplify]: Simplify k into k 8.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.109 * [taylor]: Taking taylor expansion of 2.0 in n 8.109 * [backup-simplify]: Simplify 2.0 into 2.0 8.109 * [taylor]: Taking taylor expansion of (* n PI) in n 8.109 * [taylor]: Taking taylor expansion of n in n 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.109 * [taylor]: Taking taylor expansion of PI in n 8.109 * [backup-simplify]: Simplify PI into PI 8.110 * [backup-simplify]: Simplify (* 0 PI) into 0 8.110 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.111 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.112 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.113 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.113 * [backup-simplify]: Simplify (- k) into (- k) 8.113 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.113 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.114 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.115 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.115 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.116 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.116 * [taylor]: Taking taylor expansion of 0.5 in k 8.116 * [backup-simplify]: Simplify 0.5 into 0.5 8.116 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.116 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.116 * [taylor]: Taking taylor expansion of 1.0 in k 8.116 * [backup-simplify]: Simplify 1.0 into 1.0 8.116 * [taylor]: Taking taylor expansion of k in k 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.116 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.116 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.116 * [taylor]: Taking taylor expansion of 2.0 in k 8.116 * [backup-simplify]: Simplify 2.0 into 2.0 8.116 * [taylor]: Taking taylor expansion of PI in k 8.116 * [backup-simplify]: Simplify PI into PI 8.116 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.117 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.117 * [taylor]: Taking taylor expansion of (log n) in k 8.117 * [taylor]: Taking taylor expansion of n in k 8.117 * [backup-simplify]: Simplify n into n 8.117 * [backup-simplify]: Simplify (log n) into (log n) 8.117 * [backup-simplify]: Simplify (- 0) into 0 8.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.118 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.119 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.120 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.120 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.121 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.124 * [backup-simplify]: Simplify (- 0) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.126 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.127 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.127 * [taylor]: Taking taylor expansion of 0 in k 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.132 * [backup-simplify]: Simplify (- 1) into -1 8.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.134 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.136 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 8.140 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.143 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.155 * [backup-simplify]: Simplify (- 0) into 0 8.156 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.158 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.160 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.162 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.162 * [taylor]: Taking taylor expansion of 0 in k 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.170 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (- 0) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.178 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.181 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.188 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 8.188 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 8.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.188 * [taylor]: Taking taylor expansion of 0.5 in k 8.188 * [backup-simplify]: Simplify 0.5 into 0.5 8.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.189 * [taylor]: Taking taylor expansion of 1.0 in k 8.189 * [backup-simplify]: Simplify 1.0 into 1.0 8.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.189 * [taylor]: Taking taylor expansion of k in k 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.189 * [taylor]: Taking taylor expansion of 2.0 in k 8.189 * [backup-simplify]: Simplify 2.0 into 2.0 8.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.189 * [taylor]: Taking taylor expansion of PI in k 8.189 * [backup-simplify]: Simplify PI into PI 8.189 * [taylor]: Taking taylor expansion of n in k 8.189 * [backup-simplify]: Simplify n into n 8.189 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.189 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.189 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.189 * [backup-simplify]: Simplify (- 1) into -1 8.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.190 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.190 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 8.190 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 8.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.190 * [taylor]: Taking taylor expansion of 0.5 in n 8.190 * [backup-simplify]: Simplify 0.5 into 0.5 8.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.190 * [taylor]: Taking taylor expansion of 1.0 in n 8.190 * [backup-simplify]: Simplify 1.0 into 1.0 8.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.190 * [taylor]: Taking taylor expansion of k in n 8.190 * [backup-simplify]: Simplify k into k 8.190 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.191 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.191 * [taylor]: Taking taylor expansion of 2.0 in n 8.191 * [backup-simplify]: Simplify 2.0 into 2.0 8.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.191 * [taylor]: Taking taylor expansion of PI in n 8.191 * [backup-simplify]: Simplify PI into PI 8.191 * [taylor]: Taking taylor expansion of n in n 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 1 into 1 8.191 * [backup-simplify]: Simplify (/ PI 1) into PI 8.191 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.192 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.192 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.192 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.192 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.194 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.195 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.195 * [taylor]: Taking taylor expansion of 0.5 in n 8.195 * [backup-simplify]: Simplify 0.5 into 0.5 8.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.195 * [taylor]: Taking taylor expansion of 1.0 in n 8.195 * [backup-simplify]: Simplify 1.0 into 1.0 8.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.195 * [taylor]: Taking taylor expansion of k in n 8.195 * [backup-simplify]: Simplify k into k 8.195 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.195 * [taylor]: Taking taylor expansion of 2.0 in n 8.195 * [backup-simplify]: Simplify 2.0 into 2.0 8.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.195 * [taylor]: Taking taylor expansion of PI in n 8.195 * [backup-simplify]: Simplify PI into PI 8.195 * [taylor]: Taking taylor expansion of n in n 8.195 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify 1 into 1 8.195 * [backup-simplify]: Simplify (/ PI 1) into PI 8.196 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.196 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.197 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.197 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.197 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.198 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.199 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.199 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 8.199 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 8.199 * [taylor]: Taking taylor expansion of 0.5 in k 8.199 * [backup-simplify]: Simplify 0.5 into 0.5 8.199 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 8.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.199 * [taylor]: Taking taylor expansion of 1.0 in k 8.199 * [backup-simplify]: Simplify 1.0 into 1.0 8.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.199 * [taylor]: Taking taylor expansion of k in k 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.200 * [backup-simplify]: Simplify (/ 1 1) into 1 8.200 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.200 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.200 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.200 * [taylor]: Taking taylor expansion of 2.0 in k 8.200 * [backup-simplify]: Simplify 2.0 into 2.0 8.200 * [taylor]: Taking taylor expansion of PI in k 8.200 * [backup-simplify]: Simplify PI into PI 8.200 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.201 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.201 * [taylor]: Taking taylor expansion of (log n) in k 8.201 * [taylor]: Taking taylor expansion of n in k 8.201 * [backup-simplify]: Simplify n into n 8.201 * [backup-simplify]: Simplify (log n) into (log n) 8.201 * [backup-simplify]: Simplify (- 1) into -1 8.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.201 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.202 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.203 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.204 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 8.205 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.206 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.215 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.217 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.217 * [taylor]: Taking taylor expansion of 0 in k 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.224 * [backup-simplify]: Simplify (- 0) into 0 8.224 * [backup-simplify]: Simplify (+ 0 0) into 0 8.225 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.228 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.231 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.231 * [taylor]: Taking taylor expansion of 0 in k 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.240 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify (+ 0 0) into 0 8.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.246 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.249 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.249 * [taylor]: Taking taylor expansion of 0 in k 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 8.252 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 8.252 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.252 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.252 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.252 * [taylor]: Taking taylor expansion of 0.5 in k 8.252 * [backup-simplify]: Simplify 0.5 into 0.5 8.252 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.252 * [taylor]: Taking taylor expansion of k in k 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (/ 1 1) into 1 8.252 * [taylor]: Taking taylor expansion of 1.0 in k 8.252 * [backup-simplify]: Simplify 1.0 into 1.0 8.252 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.253 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.253 * [taylor]: Taking taylor expansion of -2.0 in k 8.253 * [backup-simplify]: Simplify -2.0 into -2.0 8.253 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.253 * [taylor]: Taking taylor expansion of PI in k 8.253 * [backup-simplify]: Simplify PI into PI 8.253 * [taylor]: Taking taylor expansion of n in k 8.253 * [backup-simplify]: Simplify n into n 8.253 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.253 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.253 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.253 * [backup-simplify]: Simplify (+ 1 0) into 1 8.254 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.254 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.254 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 8.254 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.254 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.255 * [taylor]: Taking taylor expansion of 0.5 in n 8.255 * [backup-simplify]: Simplify 0.5 into 0.5 8.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.255 * [taylor]: Taking taylor expansion of k in n 8.255 * [backup-simplify]: Simplify k into k 8.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.255 * [taylor]: Taking taylor expansion of 1.0 in n 8.255 * [backup-simplify]: Simplify 1.0 into 1.0 8.255 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.255 * [taylor]: Taking taylor expansion of -2.0 in n 8.255 * [backup-simplify]: Simplify -2.0 into -2.0 8.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.255 * [taylor]: Taking taylor expansion of PI in n 8.255 * [backup-simplify]: Simplify PI into PI 8.255 * [taylor]: Taking taylor expansion of n in n 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (/ PI 1) into PI 8.256 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.258 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.258 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.258 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.261 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.262 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.262 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.262 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.262 * [taylor]: Taking taylor expansion of 0.5 in n 8.262 * [backup-simplify]: Simplify 0.5 into 0.5 8.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.262 * [taylor]: Taking taylor expansion of k in n 8.262 * [backup-simplify]: Simplify k into k 8.262 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.262 * [taylor]: Taking taylor expansion of 1.0 in n 8.262 * [backup-simplify]: Simplify 1.0 into 1.0 8.262 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.262 * [taylor]: Taking taylor expansion of -2.0 in n 8.262 * [backup-simplify]: Simplify -2.0 into -2.0 8.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.262 * [taylor]: Taking taylor expansion of PI in n 8.263 * [backup-simplify]: Simplify PI into PI 8.263 * [taylor]: Taking taylor expansion of n in n 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.263 * [backup-simplify]: Simplify (/ PI 1) into PI 8.264 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.265 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.265 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.265 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.267 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.268 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.270 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 8.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 8.270 * [taylor]: Taking taylor expansion of 0.5 in k 8.270 * [backup-simplify]: Simplify 0.5 into 0.5 8.270 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 8.270 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.270 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.270 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.270 * [taylor]: Taking taylor expansion of -2.0 in k 8.270 * [backup-simplify]: Simplify -2.0 into -2.0 8.270 * [taylor]: Taking taylor expansion of PI in k 8.270 * [backup-simplify]: Simplify PI into PI 8.271 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.272 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.272 * [taylor]: Taking taylor expansion of (log n) in k 8.272 * [taylor]: Taking taylor expansion of n in k 8.272 * [backup-simplify]: Simplify n into n 8.272 * [backup-simplify]: Simplify (log n) into (log n) 8.272 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.272 * [taylor]: Taking taylor expansion of k in k 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify 1 into 1 8.273 * [backup-simplify]: Simplify (/ 1 1) into 1 8.273 * [taylor]: Taking taylor expansion of 1.0 in k 8.273 * [backup-simplify]: Simplify 1.0 into 1.0 8.273 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.274 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.274 * [backup-simplify]: Simplify (+ 1 0) into 1 8.276 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 8.277 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.278 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.279 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.284 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.294 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.296 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.296 * [taylor]: Taking taylor expansion of 0 in k 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.303 * [backup-simplify]: Simplify (+ 0 0) into 0 8.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.307 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.310 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.310 * [taylor]: Taking taylor expansion of 0 in k 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.318 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.320 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.321 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.323 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.323 * [taylor]: Taking taylor expansion of 0 in k 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.324 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.324 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.324 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.324 * [taylor]: Taking taylor expansion of 2.0 in n 8.324 * [backup-simplify]: Simplify 2.0 into 2.0 8.324 * [taylor]: Taking taylor expansion of (* n PI) in n 8.324 * [taylor]: Taking taylor expansion of n in n 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.324 * [taylor]: Taking taylor expansion of PI in n 8.324 * [backup-simplify]: Simplify PI into PI 8.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.325 * [taylor]: Taking taylor expansion of 2.0 in n 8.325 * [backup-simplify]: Simplify 2.0 into 2.0 8.325 * [taylor]: Taking taylor expansion of (* n PI) in n 8.325 * [taylor]: Taking taylor expansion of n in n 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.325 * [taylor]: Taking taylor expansion of PI in n 8.325 * [backup-simplify]: Simplify PI into PI 8.325 * [backup-simplify]: Simplify (* 0 PI) into 0 8.325 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.325 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.327 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.328 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.329 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.343 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.343 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.343 * [taylor]: Taking taylor expansion of 2.0 in n 8.343 * [backup-simplify]: Simplify 2.0 into 2.0 8.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.343 * [taylor]: Taking taylor expansion of PI in n 8.343 * [backup-simplify]: Simplify PI into PI 8.343 * [taylor]: Taking taylor expansion of n in n 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ PI 1) into PI 8.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.344 * [taylor]: Taking taylor expansion of 2.0 in n 8.344 * [backup-simplify]: Simplify 2.0 into 2.0 8.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.344 * [taylor]: Taking taylor expansion of PI in n 8.344 * [backup-simplify]: Simplify PI into PI 8.344 * [taylor]: Taking taylor expansion of n in n 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ PI 1) into PI 8.345 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.346 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.363 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.363 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.363 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.363 * [taylor]: Taking taylor expansion of -2.0 in n 8.363 * [backup-simplify]: Simplify -2.0 into -2.0 8.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.363 * [taylor]: Taking taylor expansion of PI in n 8.363 * [backup-simplify]: Simplify PI into PI 8.363 * [taylor]: Taking taylor expansion of n in n 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.364 * [backup-simplify]: Simplify (/ PI 1) into PI 8.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.364 * [taylor]: Taking taylor expansion of -2.0 in n 8.364 * [backup-simplify]: Simplify -2.0 into -2.0 8.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.364 * [taylor]: Taking taylor expansion of PI in n 8.364 * [backup-simplify]: Simplify PI into PI 8.364 * [taylor]: Taking taylor expansion of n in n 8.364 * [backup-simplify]: Simplify 0 into 0 8.364 * [backup-simplify]: Simplify 1 into 1 8.364 * [backup-simplify]: Simplify (/ PI 1) into PI 8.365 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.366 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.378 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.381 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.382 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.382 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.382 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.382 * [taylor]: Taking taylor expansion of 1.0 in k 8.382 * [backup-simplify]: Simplify 1.0 into 1.0 8.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.382 * [taylor]: Taking taylor expansion of k in k 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 1 into 1 8.383 * [backup-simplify]: Simplify (/ 1 1) into 1 8.383 * [backup-simplify]: Simplify (sqrt 0) into 0 8.385 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.385 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.385 * [taylor]: Taking taylor expansion of 1.0 in k 8.385 * [backup-simplify]: Simplify 1.0 into 1.0 8.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.385 * [taylor]: Taking taylor expansion of k in k 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ 1 1) into 1 8.386 * [backup-simplify]: Simplify (sqrt 0) into 0 8.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.388 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.390 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.396 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.400 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.401 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.402 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 8.402 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.402 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.402 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.402 * [taylor]: Taking taylor expansion of 1.0 in k 8.402 * [backup-simplify]: Simplify 1.0 into 1.0 8.402 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.402 * [taylor]: Taking taylor expansion of k in k 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (sqrt 0) into 0 8.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.403 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.403 * [taylor]: Taking taylor expansion of 1.0 in k 8.403 * [backup-simplify]: Simplify 1.0 into 1.0 8.403 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.403 * [taylor]: Taking taylor expansion of k in k 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (sqrt 0) into 0 8.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.404 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.409 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.413 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.413 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.414 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.414 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.414 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.414 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.414 * [taylor]: Taking taylor expansion of 1.0 in k 8.414 * [backup-simplify]: Simplify 1.0 into 1.0 8.414 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.414 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.414 * [taylor]: Taking taylor expansion of -1 in k 8.414 * [backup-simplify]: Simplify -1 into -1 8.414 * [taylor]: Taking taylor expansion of k in k 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (/ -1 1) into -1 8.415 * [backup-simplify]: Simplify (sqrt 0) into 0 8.416 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.416 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.416 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.416 * [taylor]: Taking taylor expansion of 1.0 in k 8.416 * [backup-simplify]: Simplify 1.0 into 1.0 8.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.416 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.416 * [taylor]: Taking taylor expansion of -1 in k 8.416 * [backup-simplify]: Simplify -1 into -1 8.416 * [taylor]: Taking taylor expansion of k in k 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (/ -1 1) into -1 8.417 * [backup-simplify]: Simplify (sqrt 0) into 0 8.418 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.418 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.429 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.439 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.439 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.440 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.440 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.441 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 8.441 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 8.441 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 8.441 * [taylor]: Taking taylor expansion of 1.0 in k 8.441 * [backup-simplify]: Simplify 1.0 into 1.0 8.441 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 8.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.442 * [taylor]: Taking taylor expansion of 0.5 in k 8.442 * [backup-simplify]: Simplify 0.5 into 0.5 8.442 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.442 * [taylor]: Taking taylor expansion of 1.0 in k 8.442 * [backup-simplify]: Simplify 1.0 into 1.0 8.442 * [taylor]: Taking taylor expansion of k in k 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.442 * [taylor]: Taking taylor expansion of 2.0 in k 8.442 * [backup-simplify]: Simplify 2.0 into 2.0 8.442 * [taylor]: Taking taylor expansion of (* n PI) in k 8.442 * [taylor]: Taking taylor expansion of n in k 8.442 * [backup-simplify]: Simplify n into n 8.442 * [taylor]: Taking taylor expansion of PI in k 8.442 * [backup-simplify]: Simplify PI into PI 8.442 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.442 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.442 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.443 * [backup-simplify]: Simplify (- 0) into 0 8.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.444 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.444 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.444 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.444 * [taylor]: Taking taylor expansion of k in k 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.445 * [backup-simplify]: Simplify (sqrt 0) into 0 8.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.446 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 8.446 * [taylor]: Taking taylor expansion of 1.0 in n 8.446 * [backup-simplify]: Simplify 1.0 into 1.0 8.446 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 8.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.446 * [taylor]: Taking taylor expansion of 0.5 in n 8.446 * [backup-simplify]: Simplify 0.5 into 0.5 8.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.446 * [taylor]: Taking taylor expansion of 1.0 in n 8.446 * [backup-simplify]: Simplify 1.0 into 1.0 8.446 * [taylor]: Taking taylor expansion of k in n 8.447 * [backup-simplify]: Simplify k into k 8.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.447 * [taylor]: Taking taylor expansion of 2.0 in n 8.447 * [backup-simplify]: Simplify 2.0 into 2.0 8.447 * [taylor]: Taking taylor expansion of (* n PI) in n 8.447 * [taylor]: Taking taylor expansion of n in n 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.447 * [taylor]: Taking taylor expansion of PI in n 8.447 * [backup-simplify]: Simplify PI into PI 8.447 * [backup-simplify]: Simplify (* 0 PI) into 0 8.448 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.451 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.452 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.452 * [backup-simplify]: Simplify (- k) into (- k) 8.452 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.452 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.453 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.454 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.455 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.455 * [taylor]: Taking taylor expansion of k in n 8.455 * [backup-simplify]: Simplify k into k 8.455 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.455 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 8.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 8.455 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 8.455 * [taylor]: Taking taylor expansion of 1.0 in n 8.455 * [backup-simplify]: Simplify 1.0 into 1.0 8.455 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 8.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.455 * [taylor]: Taking taylor expansion of 0.5 in n 8.455 * [backup-simplify]: Simplify 0.5 into 0.5 8.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.455 * [taylor]: Taking taylor expansion of 1.0 in n 8.455 * [backup-simplify]: Simplify 1.0 into 1.0 8.455 * [taylor]: Taking taylor expansion of k in n 8.455 * [backup-simplify]: Simplify k into k 8.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.455 * [taylor]: Taking taylor expansion of 2.0 in n 8.455 * [backup-simplify]: Simplify 2.0 into 2.0 8.455 * [taylor]: Taking taylor expansion of (* n PI) in n 8.455 * [taylor]: Taking taylor expansion of n in n 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [taylor]: Taking taylor expansion of PI in n 8.455 * [backup-simplify]: Simplify PI into PI 8.456 * [backup-simplify]: Simplify (* 0 PI) into 0 8.456 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.458 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.459 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.459 * [backup-simplify]: Simplify (- k) into (- k) 8.459 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.459 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.460 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.460 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.461 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 8.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.461 * [taylor]: Taking taylor expansion of k in n 8.461 * [backup-simplify]: Simplify k into k 8.461 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.461 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 8.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 8.462 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) 8.463 * [backup-simplify]: Simplify (* 1.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k)))) into (* 1.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k)))) 8.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k)))) in k 8.463 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [backup-simplify]: Simplify 1.0 into 1.0 8.463 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) in k 8.463 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.463 * [taylor]: Taking taylor expansion of 0.5 in k 8.463 * [backup-simplify]: Simplify 0.5 into 0.5 8.463 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.463 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [backup-simplify]: Simplify 1.0 into 1.0 8.464 * [taylor]: Taking taylor expansion of k in k 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 1 into 1 8.464 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.464 * [taylor]: Taking taylor expansion of 2.0 in k 8.464 * [backup-simplify]: Simplify 2.0 into 2.0 8.464 * [taylor]: Taking taylor expansion of PI in k 8.464 * [backup-simplify]: Simplify PI into PI 8.464 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.465 * [taylor]: Taking taylor expansion of (log n) in k 8.465 * [taylor]: Taking taylor expansion of n in k 8.465 * [backup-simplify]: Simplify n into n 8.465 * [backup-simplify]: Simplify (log n) into (log n) 8.465 * [backup-simplify]: Simplify (- 0) into 0 8.465 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.466 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.467 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.468 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.468 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.468 * [taylor]: Taking taylor expansion of k in k 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [backup-simplify]: Simplify (sqrt 0) into 0 8.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.471 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0) into 0 8.471 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.471 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.474 * [backup-simplify]: Simplify (- 0) into 0 8.474 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.476 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.478 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))))) into 0 8.480 * [taylor]: Taking taylor expansion of 0 in k 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.482 * [backup-simplify]: Simplify (+ 0 0) into 0 8.483 * [backup-simplify]: Simplify (- 1) into -1 8.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.485 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 8.487 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.490 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) +nan.0) (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.491 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.492 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 8.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.500 * [backup-simplify]: Simplify (- 0) into 0 8.501 * [backup-simplify]: Simplify (+ 0 0) into 0 8.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.505 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.507 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.509 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k)))))) into 0 8.511 * [taylor]: Taking taylor expansion of 0 in k 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.522 * [backup-simplify]: Simplify (+ 0 0) into 0 8.522 * [backup-simplify]: Simplify (- 0) into 0 8.522 * [backup-simplify]: Simplify (+ 0 0) into 0 8.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 8.534 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) +nan.0) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) +nan.0) (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 0))) into (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))) 8.538 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0))) into (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))) 8.546 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))) 8.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.552 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify (+ 0 0) into 0 8.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 k))))) into 0 8.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.556 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.558 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.560 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))))))) into 0 8.562 * [taylor]: Taking taylor expansion of 0 in k 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.579 * [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 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (- 0) into 0 8.580 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))))) into 0 8.593 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.020833333333333332 (pow (log n) 3)) (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n)))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 8.613 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) +nan.0) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) +nan.0) (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) +nan.0) (* (* -1 (* (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.020833333333333332 (pow (log n) 3)) (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n)))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) 8.636 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) 8.651 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) 8.674 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))))))))))))))))))) 8.675 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) (/ 1.0 (sqrt (/ 1 k)))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 8.675 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (n k) around 0 8.675 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 8.676 * [taylor]: Taking taylor expansion of 1.0 in k 8.676 * [backup-simplify]: Simplify 1.0 into 1.0 8.676 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 8.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.676 * [taylor]: Taking taylor expansion of 0.5 in k 8.676 * [backup-simplify]: Simplify 0.5 into 0.5 8.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.676 * [taylor]: Taking taylor expansion of 1.0 in k 8.676 * [backup-simplify]: Simplify 1.0 into 1.0 8.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.676 * [taylor]: Taking taylor expansion of k in k 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.677 * [backup-simplify]: Simplify (/ 1 1) into 1 8.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.677 * [taylor]: Taking taylor expansion of 2.0 in k 8.677 * [backup-simplify]: Simplify 2.0 into 2.0 8.677 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.677 * [taylor]: Taking taylor expansion of PI in k 8.677 * [backup-simplify]: Simplify PI into PI 8.677 * [taylor]: Taking taylor expansion of n in k 8.677 * [backup-simplify]: Simplify n into n 8.677 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.677 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.677 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.678 * [backup-simplify]: Simplify (- 1) into -1 8.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.679 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.679 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 8.679 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 8.679 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.679 * [taylor]: Taking taylor expansion of k in k 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.680 * [backup-simplify]: Simplify (sqrt 0) into 0 8.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.681 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 8.682 * [taylor]: Taking taylor expansion of 1.0 in n 8.682 * [backup-simplify]: Simplify 1.0 into 1.0 8.682 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 8.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.682 * [taylor]: Taking taylor expansion of 0.5 in n 8.682 * [backup-simplify]: Simplify 0.5 into 0.5 8.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.682 * [taylor]: Taking taylor expansion of 1.0 in n 8.682 * [backup-simplify]: Simplify 1.0 into 1.0 8.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.682 * [taylor]: Taking taylor expansion of k in n 8.682 * [backup-simplify]: Simplify k into k 8.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.682 * [taylor]: Taking taylor expansion of 2.0 in n 8.682 * [backup-simplify]: Simplify 2.0 into 2.0 8.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.682 * [taylor]: Taking taylor expansion of PI in n 8.682 * [backup-simplify]: Simplify PI into PI 8.682 * [taylor]: Taking taylor expansion of n in n 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ PI 1) into PI 8.683 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.685 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.685 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.685 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.685 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.694 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.696 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.696 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.696 * [taylor]: Taking taylor expansion of k in n 8.696 * [backup-simplify]: Simplify k into k 8.696 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 8.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 8.696 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 8.696 * [taylor]: Taking taylor expansion of 1.0 in n 8.696 * [backup-simplify]: Simplify 1.0 into 1.0 8.696 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 8.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.696 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.696 * [taylor]: Taking taylor expansion of 0.5 in n 8.696 * [backup-simplify]: Simplify 0.5 into 0.5 8.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.696 * [taylor]: Taking taylor expansion of 1.0 in n 8.696 * [backup-simplify]: Simplify 1.0 into 1.0 8.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.696 * [taylor]: Taking taylor expansion of k in n 8.697 * [backup-simplify]: Simplify k into k 8.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.697 * [taylor]: Taking taylor expansion of 2.0 in n 8.697 * [backup-simplify]: Simplify 2.0 into 2.0 8.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.697 * [taylor]: Taking taylor expansion of PI in n 8.697 * [backup-simplify]: Simplify PI into PI 8.697 * [taylor]: Taking taylor expansion of n in n 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ PI 1) into PI 8.698 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.699 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.699 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.699 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.702 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.704 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.704 * [taylor]: Taking taylor expansion of (sqrt k) in n 8.704 * [taylor]: Taking taylor expansion of k in n 8.704 * [backup-simplify]: Simplify k into k 8.704 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 8.705 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k)) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k)) 8.707 * [backup-simplify]: Simplify (* 1.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k))) into (* 1.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k))) 8.707 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k))) in k 8.707 * [taylor]: Taking taylor expansion of 1.0 in k 8.707 * [backup-simplify]: Simplify 1.0 into 1.0 8.707 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k)) in k 8.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 8.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 8.707 * [taylor]: Taking taylor expansion of 0.5 in k 8.707 * [backup-simplify]: Simplify 0.5 into 0.5 8.707 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 8.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.707 * [taylor]: Taking taylor expansion of 1.0 in k 8.707 * [backup-simplify]: Simplify 1.0 into 1.0 8.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.707 * [taylor]: Taking taylor expansion of k in k 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (/ 1 1) into 1 8.708 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.708 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.708 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.708 * [taylor]: Taking taylor expansion of 2.0 in k 8.708 * [backup-simplify]: Simplify 2.0 into 2.0 8.708 * [taylor]: Taking taylor expansion of PI in k 8.708 * [backup-simplify]: Simplify PI into PI 8.709 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.710 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.710 * [taylor]: Taking taylor expansion of (log n) in k 8.710 * [taylor]: Taking taylor expansion of n in k 8.710 * [backup-simplify]: Simplify n into n 8.710 * [backup-simplify]: Simplify (log n) into (log n) 8.710 * [backup-simplify]: Simplify (- 1) into -1 8.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.711 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.712 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.713 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.714 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 8.716 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.716 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.716 * [taylor]: Taking taylor expansion of k in k 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (sqrt 0) into 0 8.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 0) into 0 8.720 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.724 * [backup-simplify]: Simplify (- 0) into 0 8.725 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.728 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.730 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 8.733 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k)))) into 0 8.733 * [taylor]: Taking taylor expansion of 0 in k 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.735 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.736 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.736 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.740 * [backup-simplify]: Simplify (- 0) into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.743 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.746 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k))))) into 0 8.748 * [taylor]: Taking taylor expansion of 0 in k 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.751 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.753 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.754 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 8.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.759 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.759 * [backup-simplify]: Simplify (- 0) into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.763 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.767 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 8.770 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (sqrt k)))))) into 0 8.770 * [taylor]: Taking taylor expansion of 0 in k 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.777 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.782 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.783 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 8.788 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 8.790 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) (/ 1.0 (sqrt (/ 1 (- k))))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.790 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 8.790 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.790 * [taylor]: Taking taylor expansion of 1.0 in k 8.790 * [backup-simplify]: Simplify 1.0 into 1.0 8.790 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.790 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.790 * [taylor]: Taking taylor expansion of 0.5 in k 8.790 * [backup-simplify]: Simplify 0.5 into 0.5 8.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.790 * [taylor]: Taking taylor expansion of k in k 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (/ 1 1) into 1 8.791 * [taylor]: Taking taylor expansion of 1.0 in k 8.791 * [backup-simplify]: Simplify 1.0 into 1.0 8.791 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.791 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.791 * [taylor]: Taking taylor expansion of -2.0 in k 8.791 * [backup-simplify]: Simplify -2.0 into -2.0 8.791 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.791 * [taylor]: Taking taylor expansion of PI in k 8.791 * [backup-simplify]: Simplify PI into PI 8.791 * [taylor]: Taking taylor expansion of n in k 8.791 * [backup-simplify]: Simplify n into n 8.791 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.791 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.792 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.792 * [backup-simplify]: Simplify (+ 1 0) into 1 8.793 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.793 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.793 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 8.793 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.793 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.793 * [taylor]: Taking taylor expansion of -1 in k 8.793 * [backup-simplify]: Simplify -1 into -1 8.793 * [taylor]: Taking taylor expansion of k in k 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.794 * [backup-simplify]: Simplify (/ -1 1) into -1 8.794 * [backup-simplify]: Simplify (sqrt 0) into 0 8.795 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.796 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 8.796 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.796 * [taylor]: Taking taylor expansion of 1.0 in n 8.796 * [backup-simplify]: Simplify 1.0 into 1.0 8.796 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.796 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.796 * [taylor]: Taking taylor expansion of 0.5 in n 8.796 * [backup-simplify]: Simplify 0.5 into 0.5 8.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.796 * [taylor]: Taking taylor expansion of k in n 8.796 * [backup-simplify]: Simplify k into k 8.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.796 * [taylor]: Taking taylor expansion of 1.0 in n 8.796 * [backup-simplify]: Simplify 1.0 into 1.0 8.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.797 * [taylor]: Taking taylor expansion of -2.0 in n 8.797 * [backup-simplify]: Simplify -2.0 into -2.0 8.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.797 * [taylor]: Taking taylor expansion of PI in n 8.797 * [backup-simplify]: Simplify PI into PI 8.797 * [taylor]: Taking taylor expansion of n in n 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (/ PI 1) into PI 8.798 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.799 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.799 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.799 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.802 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.803 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.804 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.804 * [taylor]: Taking taylor expansion of -1 in n 8.804 * [backup-simplify]: Simplify -1 into -1 8.804 * [taylor]: Taking taylor expansion of k in n 8.804 * [backup-simplify]: Simplify k into k 8.804 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 8.804 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 8.804 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 8.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 8.806 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 8.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 8.806 * [taylor]: Taking taylor expansion of 1.0 in n 8.806 * [backup-simplify]: Simplify 1.0 into 1.0 8.806 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 8.806 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.806 * [taylor]: Taking taylor expansion of 0.5 in n 8.806 * [backup-simplify]: Simplify 0.5 into 0.5 8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.806 * [taylor]: Taking taylor expansion of k in n 8.806 * [backup-simplify]: Simplify k into k 8.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.806 * [taylor]: Taking taylor expansion of 1.0 in n 8.806 * [backup-simplify]: Simplify 1.0 into 1.0 8.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.806 * [taylor]: Taking taylor expansion of -2.0 in n 8.806 * [backup-simplify]: Simplify -2.0 into -2.0 8.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.806 * [taylor]: Taking taylor expansion of PI in n 8.806 * [backup-simplify]: Simplify PI into PI 8.806 * [taylor]: Taking taylor expansion of n in n 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.807 * [backup-simplify]: Simplify (/ PI 1) into PI 8.808 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.809 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.809 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.809 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.812 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.813 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 8.813 * [taylor]: Taking taylor expansion of (/ -1 k) in n 8.813 * [taylor]: Taking taylor expansion of -1 in n 8.813 * [backup-simplify]: Simplify -1 into -1 8.813 * [taylor]: Taking taylor expansion of k in n 8.814 * [backup-simplify]: Simplify k into k 8.814 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 8.814 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 8.814 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 8.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 8.815 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 8.817 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 8.817 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 8.817 * [taylor]: Taking taylor expansion of 1.0 in k 8.817 * [backup-simplify]: Simplify 1.0 into 1.0 8.817 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 8.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 8.817 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 8.817 * [taylor]: Taking taylor expansion of 0.5 in k 8.817 * [backup-simplify]: Simplify 0.5 into 0.5 8.817 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 8.817 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.817 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.817 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.817 * [taylor]: Taking taylor expansion of -2.0 in k 8.817 * [backup-simplify]: Simplify -2.0 into -2.0 8.817 * [taylor]: Taking taylor expansion of PI in k 8.818 * [backup-simplify]: Simplify PI into PI 8.818 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.819 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.819 * [taylor]: Taking taylor expansion of (log n) in k 8.820 * [taylor]: Taking taylor expansion of n in k 8.820 * [backup-simplify]: Simplify n into n 8.820 * [backup-simplify]: Simplify (log n) into (log n) 8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.820 * [taylor]: Taking taylor expansion of k in k 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (/ 1 1) into 1 8.820 * [taylor]: Taking taylor expansion of 1.0 in k 8.820 * [backup-simplify]: Simplify 1.0 into 1.0 8.820 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.822 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.822 * [backup-simplify]: Simplify (+ 1 0) into 1 8.823 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 8.825 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.826 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.826 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.826 * [taylor]: Taking taylor expansion of -1 in k 8.826 * [backup-simplify]: Simplify -1 into -1 8.826 * [taylor]: Taking taylor expansion of k in k 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 1 into 1 8.827 * [backup-simplify]: Simplify (/ -1 1) into -1 8.827 * [backup-simplify]: Simplify (sqrt 0) into 0 8.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.836 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 8.838 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 8.840 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 8.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.844 * [backup-simplify]: Simplify (+ 0 0) into 0 8.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.848 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.850 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.852 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))))) into 0 8.854 * [taylor]: Taking taylor expansion of 0 in k 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.861 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.864 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.865 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.868 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.873 * [backup-simplify]: Simplify (+ 0 0) into 0 8.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.877 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.880 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.881 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 8.883 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 8.885 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))))) into 0 8.885 * [taylor]: Taking taylor expansion of 0 in k 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.895 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.900 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.901 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 8.906 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 8.906 * * * [progress]: simplifying candidates 8.911 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log1p (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (log 1.0) (log (sqrt k)))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (log 1.0) (log (sqrt k)))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (- (log 1.0) (log (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (- (log 1.0) (log (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (exp (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 1.0) (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt k)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt 1))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) 1)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt 1))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 1)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (* (pow n (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 8.918 * * [simplify]: iteration 0: 343 enodes 9.059 * * [simplify]: iteration 1: 962 enodes 9.399 * * [simplify]: iteration complete: 5001 enodes 9.399 * * [simplify]: Extracting #0: cost 130 inf + 0 9.402 * * [simplify]: Extracting #1: cost 1113 inf + 2 9.407 * * [simplify]: Extracting #2: cost 1770 inf + 5941 9.423 * * [simplify]: Extracting #3: cost 1648 inf + 66176 9.505 * * [simplify]: Extracting #4: cost 695 inf + 397099 9.633 * * [simplify]: Extracting #5: cost 234 inf + 625534 9.793 * * [simplify]: Extracting #6: cost 123 inf + 699851 9.977 * * [simplify]: Extracting #7: cost 16 inf + 753868 10.136 * * [simplify]: Extracting #8: cost 0 inf + 770029 10.293 * * [simplify]: Extracting #9: cost 0 inf + 768969 10.460 * * [simplify]: Extracting #10: cost 0 inf + 768549 10.620 * * [simplify]: Extracting #11: cost 0 inf + 768264 10.815 * * [simplify]: Extracting #12: cost 0 inf + 768224 11.024 * [simplify]: Simplified to: (expm1 (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (log (* 2.0 (* PI n))) (/ 2.0 (- 1.0 k))) (/ (log (* 2.0 (* PI n))) (/ 2.0 (- 1.0 k))) (/ (log (* 2.0 (* PI n))) (/ 2.0 (- 1.0 k))) (/ (log (* 2.0 (* PI n))) (/ 2.0 (- 1.0 k))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (/ (log (* 2.0 (* PI n))) (/ 2.0 (- 1.0 k))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* 2.0 (* PI n))) (log1p (* 2.0 (* PI n))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (exp (* 2.0 (* PI n))) (* (* (* (* 2.0 (* (* PI 2.0) (* PI 2.0))) PI) n) (* n n)) (* (* (* PI 2.0) (* (* (* PI 2.0) (* PI 2.0)) (* n n))) n) (* (cbrt (* 2.0 (* PI n))) (cbrt (* 2.0 (* PI n)))) (cbrt (* 2.0 (* PI n))) (* (* 2.0 (* PI n)) (* (* 2.0 (* PI n)) (* 2.0 (* PI n)))) (sqrt (* 2.0 (* PI n))) (sqrt (* 2.0 (* PI n))) (* 2.0 (* (* PI (cbrt n)) (cbrt n))) (* (* (sqrt n) PI) 2.0) (* PI 2.0) (* n PI) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (* (* 1.0 1.0) 1.0) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (log1p (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (fma (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k)))) (exp (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (/ (* (* 1.0 1.0) 1.0) k) (sqrt k))))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))))) (* (cbrt (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (cbrt (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)))) (cbrt (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (sqrt (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (sqrt (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k))))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt 1.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt 1.0)) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (fabs (cbrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (/ (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (* (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (fma (* 0.25 (log (* PI 2.0))) (* (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (log n)) (* k k)) (- (fma 0.125 (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* (* (log n) k) (* (log n) k))) (fma (* 0.125 (* (log (* PI 2.0)) (log (* PI 2.0)))) (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* k k)) (exp (* (log (* 2.0 (* PI n))) 0.5)))) (* 0.5 (* k (+ (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (log n)) (* (log (* PI 2.0)) (exp (* (log (* 2.0 (* PI n))) 0.5)))))))) (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) (exp (* (* 0.5 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n))))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (+ (* (- +nan.0) (* k k)) (- +nan.0 (* k +nan.0))) (+ (- (/ +nan.0 k) (/ (/ +nan.0 k) (* k k))) (/ (- +nan.0) (* k k))) (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) +nan.0))) (+ (* (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* (* (log n) (* k k)) (log (* PI 2.0)))) (- +nan.0)) (- (* +nan.0 (exp (* (log (* 2.0 (* PI n))) 0.5))) (fma (* (* +nan.0 (log (* PI 2.0))) (log (* PI 2.0))) (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* k k)) (- (fma +nan.0 (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* k k)) (+ (* (* (- +nan.0) (exp (* (log (* 2.0 (* PI n))) 0.5))) (* (* (log n) k) (* (log n) k))) (- (* (* +nan.0 (exp (* (log (* 2.0 (* PI n))) 0.5))) (* (log n) (* k k))) (fma (* +nan.0 (log (* PI 2.0))) (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (* k k)) (+ (* (* (exp (* (log (* 2.0 (* PI n))) 0.5)) k) (+ (- +nan.0) (* +nan.0 (log (* PI 2.0))))) (* (* (- +nan.0) (exp (* (log (* 2.0 (* PI n))) 0.5))) (* (log n) k))))))))))) (+ (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) k) (/ (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) (* k (* k k))))) (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) (* k k))))) (+ (* (exp (* (* 0.5 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n))))) (- +nan.0)) (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n))))) k) (/ (exp (* (* 0.5 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n))))) (* k k))))) 11.046 * * * [progress]: adding candidates to table 12.057 * * [progress]: iteration 3 / 4 12.057 * * * [progress]: picking best candidate 12.122 * * * * [pick]: Picked # 12.122 * * * [progress]: localizing error 12.168 * * * [progress]: generating rewritten candidates 12.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.259 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 12.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 12.294 * * * [progress]: generating series expansions 12.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.296 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 12.296 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 12.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 12.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 12.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 12.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.296 * [taylor]: Taking taylor expansion of 0.5 in k 12.296 * [backup-simplify]: Simplify 0.5 into 0.5 12.296 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.296 * [taylor]: Taking taylor expansion of 1.0 in k 12.296 * [backup-simplify]: Simplify 1.0 into 1.0 12.296 * [taylor]: Taking taylor expansion of k in k 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 12.296 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 12.296 * [taylor]: Taking taylor expansion of 2.0 in k 12.296 * [backup-simplify]: Simplify 2.0 into 2.0 12.296 * [taylor]: Taking taylor expansion of (* n PI) in k 12.296 * [taylor]: Taking taylor expansion of n in k 12.296 * [backup-simplify]: Simplify n into n 12.296 * [taylor]: Taking taylor expansion of PI in k 12.296 * [backup-simplify]: Simplify PI into PI 12.296 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.296 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 12.297 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 12.297 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.298 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.298 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 12.298 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 12.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.299 * [taylor]: Taking taylor expansion of 0.5 in n 12.299 * [backup-simplify]: Simplify 0.5 into 0.5 12.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.299 * [taylor]: Taking taylor expansion of 1.0 in n 12.299 * [backup-simplify]: Simplify 1.0 into 1.0 12.299 * [taylor]: Taking taylor expansion of k in n 12.299 * [backup-simplify]: Simplify k into k 12.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.299 * [taylor]: Taking taylor expansion of 2.0 in n 12.299 * [backup-simplify]: Simplify 2.0 into 2.0 12.299 * [taylor]: Taking taylor expansion of (* n PI) in n 12.299 * [taylor]: Taking taylor expansion of n in n 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.299 * [taylor]: Taking taylor expansion of PI in n 12.299 * [backup-simplify]: Simplify PI into PI 12.300 * [backup-simplify]: Simplify (* 0 PI) into 0 12.300 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.303 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.305 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.305 * [backup-simplify]: Simplify (- k) into (- k) 12.305 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.305 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.308 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.309 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.309 * [taylor]: Taking taylor expansion of 0.5 in n 12.309 * [backup-simplify]: Simplify 0.5 into 0.5 12.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.309 * [taylor]: Taking taylor expansion of 1.0 in n 12.309 * [backup-simplify]: Simplify 1.0 into 1.0 12.309 * [taylor]: Taking taylor expansion of k in n 12.309 * [backup-simplify]: Simplify k into k 12.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.309 * [taylor]: Taking taylor expansion of 2.0 in n 12.309 * [backup-simplify]: Simplify 2.0 into 2.0 12.309 * [taylor]: Taking taylor expansion of (* n PI) in n 12.309 * [taylor]: Taking taylor expansion of n in n 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.309 * [taylor]: Taking taylor expansion of PI in n 12.309 * [backup-simplify]: Simplify PI into PI 12.316 * [backup-simplify]: Simplify (* 0 PI) into 0 12.317 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.320 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.321 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.322 * [backup-simplify]: Simplify (- k) into (- k) 12.322 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.322 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.324 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.326 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 12.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 12.326 * [taylor]: Taking taylor expansion of 0.5 in k 12.326 * [backup-simplify]: Simplify 0.5 into 0.5 12.326 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 12.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.326 * [taylor]: Taking taylor expansion of 1.0 in k 12.326 * [backup-simplify]: Simplify 1.0 into 1.0 12.326 * [taylor]: Taking taylor expansion of k in k 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 12.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.326 * [taylor]: Taking taylor expansion of 2.0 in k 12.326 * [backup-simplify]: Simplify 2.0 into 2.0 12.326 * [taylor]: Taking taylor expansion of PI in k 12.326 * [backup-simplify]: Simplify PI into PI 12.327 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.328 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.328 * [taylor]: Taking taylor expansion of (log n) in k 12.328 * [taylor]: Taking taylor expansion of n in k 12.328 * [backup-simplify]: Simplify n into n 12.328 * [backup-simplify]: Simplify (log n) into (log n) 12.329 * [backup-simplify]: Simplify (- 0) into 0 12.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.330 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 12.331 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 12.333 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 12.334 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.335 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.339 * [backup-simplify]: Simplify (- 0) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.343 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 12.344 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.344 * [taylor]: Taking taylor expansion of 0 in k 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.347 * [backup-simplify]: Simplify (+ 0 0) into 0 12.347 * [backup-simplify]: Simplify (- 1) into -1 12.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.348 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 12.350 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 12.352 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 12.354 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 12.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.358 * [backup-simplify]: Simplify (- 0) into 0 12.358 * [backup-simplify]: Simplify (+ 0 0) into 0 12.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.359 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.360 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.362 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.362 * [taylor]: Taking taylor expansion of 0 in k 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.366 * [backup-simplify]: Simplify (+ 0 0) into 0 12.367 * [backup-simplify]: Simplify (- 0) into 0 12.367 * [backup-simplify]: Simplify (+ 0 0) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 12.373 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 12.379 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 12.390 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 12.391 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 12.391 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 12.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 12.392 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.392 * [taylor]: Taking taylor expansion of 0.5 in k 12.392 * [backup-simplify]: Simplify 0.5 into 0.5 12.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.392 * [taylor]: Taking taylor expansion of 1.0 in k 12.392 * [backup-simplify]: Simplify 1.0 into 1.0 12.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.392 * [taylor]: Taking taylor expansion of k in k 12.392 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify 1 into 1 12.392 * [backup-simplify]: Simplify (/ 1 1) into 1 12.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 12.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 12.392 * [taylor]: Taking taylor expansion of 2.0 in k 12.392 * [backup-simplify]: Simplify 2.0 into 2.0 12.392 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.392 * [taylor]: Taking taylor expansion of PI in k 12.392 * [backup-simplify]: Simplify PI into PI 12.392 * [taylor]: Taking taylor expansion of n in k 12.392 * [backup-simplify]: Simplify n into n 12.392 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.392 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 12.392 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 12.393 * [backup-simplify]: Simplify (- 1) into -1 12.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.393 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.393 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 12.393 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 12.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.393 * [taylor]: Taking taylor expansion of 0.5 in n 12.394 * [backup-simplify]: Simplify 0.5 into 0.5 12.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.394 * [taylor]: Taking taylor expansion of 1.0 in n 12.394 * [backup-simplify]: Simplify 1.0 into 1.0 12.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.394 * [taylor]: Taking taylor expansion of k in n 12.394 * [backup-simplify]: Simplify k into k 12.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.394 * [taylor]: Taking taylor expansion of 2.0 in n 12.394 * [backup-simplify]: Simplify 2.0 into 2.0 12.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.394 * [taylor]: Taking taylor expansion of PI in n 12.394 * [backup-simplify]: Simplify PI into PI 12.394 * [taylor]: Taking taylor expansion of n in n 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (/ PI 1) into PI 12.394 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.395 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.395 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.395 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.395 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.397 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 12.398 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.398 * [taylor]: Taking taylor expansion of 0.5 in n 12.398 * [backup-simplify]: Simplify 0.5 into 0.5 12.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.398 * [taylor]: Taking taylor expansion of 1.0 in n 12.398 * [backup-simplify]: Simplify 1.0 into 1.0 12.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.398 * [taylor]: Taking taylor expansion of k in n 12.398 * [backup-simplify]: Simplify k into k 12.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.398 * [taylor]: Taking taylor expansion of 2.0 in n 12.398 * [backup-simplify]: Simplify 2.0 into 2.0 12.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.398 * [taylor]: Taking taylor expansion of PI in n 12.398 * [backup-simplify]: Simplify PI into PI 12.398 * [taylor]: Taking taylor expansion of n in n 12.398 * [backup-simplify]: Simplify 0 into 0 12.398 * [backup-simplify]: Simplify 1 into 1 12.399 * [backup-simplify]: Simplify (/ PI 1) into PI 12.399 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.400 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.400 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.400 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.400 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.402 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 12.402 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 12.403 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 12.403 * [taylor]: Taking taylor expansion of 0.5 in k 12.403 * [backup-simplify]: Simplify 0.5 into 0.5 12.403 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 12.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.403 * [taylor]: Taking taylor expansion of 1.0 in k 12.403 * [backup-simplify]: Simplify 1.0 into 1.0 12.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.403 * [taylor]: Taking taylor expansion of k in k 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (/ 1 1) into 1 12.403 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 12.403 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.403 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.403 * [taylor]: Taking taylor expansion of 2.0 in k 12.403 * [backup-simplify]: Simplify 2.0 into 2.0 12.403 * [taylor]: Taking taylor expansion of PI in k 12.403 * [backup-simplify]: Simplify PI into PI 12.403 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.404 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.404 * [taylor]: Taking taylor expansion of (log n) in k 12.404 * [taylor]: Taking taylor expansion of n in k 12.404 * [backup-simplify]: Simplify n into n 12.404 * [backup-simplify]: Simplify (log n) into (log n) 12.405 * [backup-simplify]: Simplify (- 1) into -1 12.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.405 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.406 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 12.406 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 12.407 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 12.408 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.409 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.410 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.411 * [backup-simplify]: Simplify (- 0) into 0 12.411 * [backup-simplify]: Simplify (+ 0 0) into 0 12.412 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.414 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 12.415 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.415 * [taylor]: Taking taylor expansion of 0 in k 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.419 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.419 * [backup-simplify]: Simplify (- 0) into 0 12.419 * [backup-simplify]: Simplify (+ 0 0) into 0 12.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.423 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 12.426 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.426 * [taylor]: Taking taylor expansion of 0 in k 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.430 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.809 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 12.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.810 * [backup-simplify]: Simplify (- 0) into 0 12.810 * [backup-simplify]: Simplify (+ 0 0) into 0 12.811 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.815 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.818 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.818 * [taylor]: Taking taylor expansion of 0 in k 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify 0 into 0 12.822 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 12.823 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 12.823 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.823 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.823 * [taylor]: Taking taylor expansion of 0.5 in k 12.823 * [backup-simplify]: Simplify 0.5 into 0.5 12.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.823 * [taylor]: Taking taylor expansion of k in k 12.823 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify 1 into 1 12.824 * [backup-simplify]: Simplify (/ 1 1) into 1 12.824 * [taylor]: Taking taylor expansion of 1.0 in k 12.824 * [backup-simplify]: Simplify 1.0 into 1.0 12.824 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.824 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.824 * [taylor]: Taking taylor expansion of -2.0 in k 12.824 * [backup-simplify]: Simplify -2.0 into -2.0 12.824 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.824 * [taylor]: Taking taylor expansion of PI in k 12.824 * [backup-simplify]: Simplify PI into PI 12.824 * [taylor]: Taking taylor expansion of n in k 12.824 * [backup-simplify]: Simplify n into n 12.824 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.824 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.824 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.825 * [backup-simplify]: Simplify (+ 1 0) into 1 12.825 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.825 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 12.826 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 12.826 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.826 * [taylor]: Taking taylor expansion of 0.5 in n 12.826 * [backup-simplify]: Simplify 0.5 into 0.5 12.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.826 * [taylor]: Taking taylor expansion of k in n 12.826 * [backup-simplify]: Simplify k into k 12.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.826 * [taylor]: Taking taylor expansion of 1.0 in n 12.826 * [backup-simplify]: Simplify 1.0 into 1.0 12.826 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.826 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.826 * [taylor]: Taking taylor expansion of -2.0 in n 12.826 * [backup-simplify]: Simplify -2.0 into -2.0 12.826 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.826 * [taylor]: Taking taylor expansion of PI in n 12.826 * [backup-simplify]: Simplify PI into PI 12.826 * [taylor]: Taking taylor expansion of n in n 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.827 * [backup-simplify]: Simplify (/ PI 1) into PI 12.827 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.829 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.829 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.829 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.832 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.833 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.833 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.833 * [taylor]: Taking taylor expansion of 0.5 in n 12.833 * [backup-simplify]: Simplify 0.5 into 0.5 12.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.833 * [taylor]: Taking taylor expansion of k in n 12.833 * [backup-simplify]: Simplify k into k 12.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.833 * [taylor]: Taking taylor expansion of 1.0 in n 12.833 * [backup-simplify]: Simplify 1.0 into 1.0 12.833 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.833 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.833 * [taylor]: Taking taylor expansion of -2.0 in n 12.833 * [backup-simplify]: Simplify -2.0 into -2.0 12.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.833 * [taylor]: Taking taylor expansion of PI in n 12.833 * [backup-simplify]: Simplify PI into PI 12.833 * [taylor]: Taking taylor expansion of n in n 12.833 * [backup-simplify]: Simplify 0 into 0 12.833 * [backup-simplify]: Simplify 1 into 1 12.834 * [backup-simplify]: Simplify (/ PI 1) into PI 12.834 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.836 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.836 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.836 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.837 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.838 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.838 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 12.838 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 12.838 * [taylor]: Taking taylor expansion of 0.5 in k 12.838 * [backup-simplify]: Simplify 0.5 into 0.5 12.838 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 12.838 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.838 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.838 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.838 * [taylor]: Taking taylor expansion of -2.0 in k 12.838 * [backup-simplify]: Simplify -2.0 into -2.0 12.838 * [taylor]: Taking taylor expansion of PI in k 12.838 * [backup-simplify]: Simplify PI into PI 12.839 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.839 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.840 * [taylor]: Taking taylor expansion of (log n) in k 12.840 * [taylor]: Taking taylor expansion of n in k 12.840 * [backup-simplify]: Simplify n into n 12.840 * [backup-simplify]: Simplify (log n) into (log n) 12.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.840 * [taylor]: Taking taylor expansion of k in k 12.840 * [backup-simplify]: Simplify 0 into 0 12.840 * [backup-simplify]: Simplify 1 into 1 12.840 * [backup-simplify]: Simplify (/ 1 1) into 1 12.840 * [taylor]: Taking taylor expansion of 1.0 in k 12.840 * [backup-simplify]: Simplify 1.0 into 1.0 12.840 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.841 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.841 * [backup-simplify]: Simplify (+ 1 0) into 1 12.842 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 12.842 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 12.843 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.844 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.845 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.847 * [backup-simplify]: Simplify (+ 0 0) into 0 12.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.849 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.850 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.850 * [taylor]: Taking taylor expansion of 0 in k 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.851 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 12.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.854 * [backup-simplify]: Simplify (+ 0 0) into 0 12.854 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.856 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 12.858 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.858 * [taylor]: Taking taylor expansion of 0 in k 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.860 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.863 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 12.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.863 * [backup-simplify]: Simplify (+ 0 0) into 0 12.864 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.865 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.866 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 12.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.869 * [taylor]: Taking taylor expansion of 0 in k 12.869 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify 0 into 0 12.870 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 12.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.870 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) into (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) 12.870 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in (k) around 0 12.871 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in k 12.871 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.871 * [taylor]: Taking taylor expansion of 1.0 in k 12.871 * [backup-simplify]: Simplify 1.0 into 1.0 12.871 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.872 * [taylor]: Taking taylor expansion of k in k 12.872 * [backup-simplify]: Simplify 0 into 0 12.872 * [backup-simplify]: Simplify 1 into 1 12.872 * [backup-simplify]: Simplify (/ 1 1) into 1 12.873 * [backup-simplify]: Simplify (sqrt 0) into 0 12.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.874 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in k 12.875 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.875 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.875 * [taylor]: Taking taylor expansion of 1.0 in k 12.875 * [backup-simplify]: Simplify 1.0 into 1.0 12.875 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.876 * [taylor]: Taking taylor expansion of k in k 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 1 into 1 12.876 * [backup-simplify]: Simplify (/ 1 1) into 1 12.877 * [backup-simplify]: Simplify (sqrt 0) into 0 12.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.879 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.880 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) 0) into 0 12.880 * [backup-simplify]: Simplify 0 into 0 12.881 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.884 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.886 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.892 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.896 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.898 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.903 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 12.906 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.907 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.912 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow k 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) k) (- (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (* (pow (sqrt 1.0) 2) k))))))) 12.912 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (/ 1.0 (sqrt (/ 1 k))))) into (* (pow (sqrt 1.0) 2) (sqrt k)) 12.912 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in (k) around 0 12.912 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in k 12.912 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.913 * [taylor]: Taking taylor expansion of 1.0 in k 12.913 * [backup-simplify]: Simplify 1.0 into 1.0 12.913 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.913 * [taylor]: Taking taylor expansion of k in k 12.913 * [backup-simplify]: Simplify 0 into 0 12.913 * [backup-simplify]: Simplify 1 into 1 12.914 * [backup-simplify]: Simplify (sqrt 0) into 0 12.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.915 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in k 12.915 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.915 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.915 * [taylor]: Taking taylor expansion of 1.0 in k 12.915 * [backup-simplify]: Simplify 1.0 into 1.0 12.915 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.915 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.915 * [taylor]: Taking taylor expansion of k in k 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify 1 into 1 12.916 * [backup-simplify]: Simplify (sqrt 0) into 0 12.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.917 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.918 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) 0) into 0 12.918 * [backup-simplify]: Simplify 0 into 0 12.918 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.920 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.925 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.928 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.931 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.932 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.936 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 12.939 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.940 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.945 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 12.945 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (/ 1.0 (sqrt (/ 1 (- k)))))) into (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) 12.945 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 12.945 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 12.945 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.945 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.945 * [taylor]: Taking taylor expansion of 1.0 in k 12.946 * [backup-simplify]: Simplify 1.0 into 1.0 12.946 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.946 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.946 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.946 * [taylor]: Taking taylor expansion of -1 in k 12.946 * [backup-simplify]: Simplify -1 into -1 12.946 * [taylor]: Taking taylor expansion of k in k 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify 1 into 1 12.947 * [backup-simplify]: Simplify (/ -1 1) into -1 12.947 * [backup-simplify]: Simplify (sqrt 0) into 0 12.948 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.948 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.950 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.950 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 12.950 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 12.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.950 * [taylor]: Taking taylor expansion of 1.0 in k 12.950 * [backup-simplify]: Simplify 1.0 into 1.0 12.950 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.950 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.950 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.950 * [taylor]: Taking taylor expansion of -1 in k 12.950 * [backup-simplify]: Simplify -1 into -1 12.950 * [taylor]: Taking taylor expansion of k in k 12.950 * [backup-simplify]: Simplify 0 into 0 12.950 * [backup-simplify]: Simplify 1 into 1 12.951 * [backup-simplify]: Simplify (/ -1 1) into -1 12.951 * [backup-simplify]: Simplify (sqrt 0) into 0 12.952 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.953 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 12.954 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.955 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 12.955 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 12.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.961 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.963 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.964 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.964 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 12.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.974 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.976 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 12.980 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- k))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 12.980 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 12.981 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 12.981 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 12.981 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.981 * [taylor]: Taking taylor expansion of 2.0 in n 12.981 * [backup-simplify]: Simplify 2.0 into 2.0 12.981 * [taylor]: Taking taylor expansion of (* n PI) in n 12.981 * [taylor]: Taking taylor expansion of n in n 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 1 into 1 12.981 * [taylor]: Taking taylor expansion of PI in n 12.981 * [backup-simplify]: Simplify PI into PI 12.981 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.981 * [taylor]: Taking taylor expansion of 2.0 in n 12.981 * [backup-simplify]: Simplify 2.0 into 2.0 12.981 * [taylor]: Taking taylor expansion of (* n PI) in n 12.981 * [taylor]: Taking taylor expansion of n in n 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 1 into 1 12.981 * [taylor]: Taking taylor expansion of PI in n 12.981 * [backup-simplify]: Simplify PI into PI 12.981 * [backup-simplify]: Simplify (* 0 PI) into 0 12.982 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.982 * [backup-simplify]: Simplify 0 into 0 12.983 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.984 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.985 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.985 * [backup-simplify]: Simplify 0 into 0 12.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.987 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.987 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.988 * [backup-simplify]: Simplify 0 into 0 12.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.990 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.990 * [backup-simplify]: Simplify 0 into 0 12.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.992 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.995 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.995 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 12.995 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 12.995 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 12.996 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.996 * [taylor]: Taking taylor expansion of 2.0 in n 12.996 * [backup-simplify]: Simplify 2.0 into 2.0 12.996 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.996 * [taylor]: Taking taylor expansion of PI in n 12.996 * [backup-simplify]: Simplify PI into PI 12.996 * [taylor]: Taking taylor expansion of n in n 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify 1 into 1 12.996 * [backup-simplify]: Simplify (/ PI 1) into PI 12.996 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.996 * [taylor]: Taking taylor expansion of 2.0 in n 12.996 * [backup-simplify]: Simplify 2.0 into 2.0 12.996 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.996 * [taylor]: Taking taylor expansion of PI in n 12.996 * [backup-simplify]: Simplify PI into PI 12.996 * [taylor]: Taking taylor expansion of n in n 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify 1 into 1 12.997 * [backup-simplify]: Simplify (/ PI 1) into PI 12.997 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.997 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.998 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.998 * [backup-simplify]: Simplify 0 into 0 12.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.000 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.000 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.001 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.001 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.003 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.005 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.006 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.006 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 13.007 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 13.007 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 13.007 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.007 * [taylor]: Taking taylor expansion of -2.0 in n 13.007 * [backup-simplify]: Simplify -2.0 into -2.0 13.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.007 * [taylor]: Taking taylor expansion of PI in n 13.007 * [backup-simplify]: Simplify PI into PI 13.007 * [taylor]: Taking taylor expansion of n in n 13.007 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ PI 1) into PI 13.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.008 * [taylor]: Taking taylor expansion of -2.0 in n 13.008 * [backup-simplify]: Simplify -2.0 into -2.0 13.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.008 * [taylor]: Taking taylor expansion of PI in n 13.008 * [backup-simplify]: Simplify PI into PI 13.008 * [taylor]: Taking taylor expansion of n in n 13.008 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ PI 1) into PI 13.009 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.009 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.010 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.012 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.013 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.013 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.016 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.018 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.018 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.020 * [backup-simplify]: Simplify 0 into 0 13.020 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 13.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 13.021 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 13.021 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.021 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.021 * [taylor]: Taking taylor expansion of 1.0 in k 13.021 * [backup-simplify]: Simplify 1.0 into 1.0 13.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.021 * [taylor]: Taking taylor expansion of k in k 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify (/ 1 1) into 1 13.021 * [backup-simplify]: Simplify (sqrt 0) into 0 13.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.022 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.022 * [taylor]: Taking taylor expansion of 1.0 in k 13.022 * [backup-simplify]: Simplify 1.0 into 1.0 13.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.022 * [taylor]: Taking taylor expansion of k in k 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.023 * [backup-simplify]: Simplify (/ 1 1) into 1 13.023 * [backup-simplify]: Simplify (sqrt 0) into 0 13.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.024 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.026 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.030 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.032 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.040 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.040 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.042 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 13.042 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 13.042 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.042 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.042 * [taylor]: Taking taylor expansion of 1.0 in k 13.042 * [backup-simplify]: Simplify 1.0 into 1.0 13.042 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.042 * [taylor]: Taking taylor expansion of k in k 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (sqrt 0) into 0 13.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.044 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.044 * [taylor]: Taking taylor expansion of 1.0 in k 13.044 * [backup-simplify]: Simplify 1.0 into 1.0 13.044 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.044 * [taylor]: Taking taylor expansion of k in k 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.045 * [backup-simplify]: Simplify (sqrt 0) into 0 13.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.047 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.047 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.049 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.052 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.054 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.062 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.064 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 13.064 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 13.064 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.064 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.064 * [taylor]: Taking taylor expansion of 1.0 in k 13.064 * [backup-simplify]: Simplify 1.0 into 1.0 13.064 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.064 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.064 * [taylor]: Taking taylor expansion of -1 in k 13.064 * [backup-simplify]: Simplify -1 into -1 13.064 * [taylor]: Taking taylor expansion of k in k 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.065 * [backup-simplify]: Simplify (/ -1 1) into -1 13.065 * [backup-simplify]: Simplify (sqrt 0) into 0 13.067 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.067 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.067 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.067 * [taylor]: Taking taylor expansion of 1.0 in k 13.067 * [backup-simplify]: Simplify 1.0 into 1.0 13.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.067 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.067 * [taylor]: Taking taylor expansion of -1 in k 13.067 * [backup-simplify]: Simplify -1 into -1 13.067 * [taylor]: Taking taylor expansion of k in k 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify (/ -1 1) into -1 13.068 * [backup-simplify]: Simplify (sqrt 0) into 0 13.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.070 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.077 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.078 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.087 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.088 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.089 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.089 * * * [progress]: simplifying candidates 13.096 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (log1p (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt 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(sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt 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2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (* (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.105 * * [simplify]: iteration 0: 396 enodes 13.247 * * [simplify]: iteration 1: 931 enodes 13.821 * * [simplify]: iteration 2: 4310 enodes 14.910 * * [simplify]: iteration complete: 5000 enodes 14.911 * * [simplify]: Extracting #0: cost 126 inf + 0 14.914 * * [simplify]: Extracting #1: cost 878 inf + 44 14.927 * * [simplify]: Extracting #2: cost 1450 inf + 7267 14.946 * * [simplify]: Extracting #3: cost 1064 inf + 86237 15.002 * * [simplify]: Extracting #4: cost 402 inf + 248669 15.088 * * [simplify]: Extracting #5: cost 84 inf + 354058 15.212 * * [simplify]: Extracting #6: cost 11 inf + 379300 15.291 * * [simplify]: Extracting #7: cost 0 inf + 382563 15.372 * * [simplify]: Extracting #8: cost 0 inf + 382338 15.486 * [simplify]: Simplified to: (expm1 (pow (* (* PI 2.0) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* PI 2.0) n) (/ (- 1.0 k) 2.0))) (/ (log (* (* PI 2.0) n)) (/ 2.0 (- 1.0 k))) (/ (log (* (* PI 2.0) n)) (/ 2.0 (- 1.0 k))) (/ (log (* (* PI 2.0) n)) (/ 2.0 (- 1.0 k))) (/ (log (* (* PI 2.0) n)) (/ 2.0 (- 1.0 k))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* PI 2.0) n) (/ 1.0 2.0)) (pow (* (* PI 2.0) n) (/ k 2.0)) (pow (* (* PI 2.0) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI 2.0) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI 2.0) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* PI 2.0) n) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* (* PI 2.0) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* PI 2.0) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow 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k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) 1 2 1 (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (fabs (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (fabs (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (fabs (cbrt 1.0)) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (fabs (cbrt 1.0)) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (fabs (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt 1.0))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt 1.0))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (fabs (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (/ 1.0 (sqrt k)) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (expm1 (* (* PI 2.0) n)) (log1p (* (* PI 2.0) n)) (* (* PI 2.0) n) (* (* PI 2.0) n) (log (* (* PI 2.0) n)) (log (* (* PI 2.0) n)) (log (* (* PI 2.0) n)) (exp (* (* PI 2.0) n)) (* n (* (* PI 2.0) (* (* (* PI 2.0) n) (* (* PI 2.0) n)))) (* n (* (* PI 2.0) (* (* (* PI 2.0) n) (* (* PI 2.0) n)))) (* (cbrt (* (* PI 2.0) n)) (cbrt (* (* PI 2.0) n))) (cbrt (* (* PI 2.0) n)) (* (* (* PI 2.0) n) (* (* (* PI 2.0) n) (* (* PI 2.0) n))) (sqrt (* (* PI 2.0) n)) (sqrt (* (* PI 2.0) n)) (* (* (cbrt n) (cbrt n)) (* PI 2.0)) (* (sqrt n) (* PI 2.0)) (* PI 2.0) (* n PI) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (/ (* 1.0 1.0) k) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (* (* 0.25 (log (* PI 2.0))) (* (log n) (* k k))) (exp (* (log (* (* PI 2.0) n)) 0.5)) (- (fma (* (* (log n) k) (* (log n) k)) (* 0.125 (exp (* (log (* (* PI 2.0) n)) 0.5))) (fma (* (* (* 0.125 (log (* PI 2.0))) (log (* PI 2.0))) (* k k)) (exp (* (log (* (* PI 2.0) n)) 0.5)) (exp (* (log (* (* PI 2.0) n)) 0.5)))) (* 0.5 (fma (* (exp (* (log (* (* PI 2.0) n)) 0.5)) k) (log n) (* (* (exp (* (log (* (* PI 2.0) n)) 0.5)) k) (log (* PI 2.0))))))) (exp (* (log (* (* PI 2.0) n)) (* (- 1.0 k) 0.5))) (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (- (- (fma (* (* +nan.0 k) 1.0) k (* (* +nan.0 k) 1.0)) (* +nan.0 1.0))) (fma (- +nan.0) (/ (/ 1.0 k) k) (* +nan.0 (- (/ (/ 1.0 k) (* k k)) (/ 1.0 k)))) (fma +nan.0 (- (/ (/ 1.0 k) k) (/ 1.0 k)) (* (- +nan.0) 1.0)) (* (* PI 2.0) n) (* (* PI 2.0) n) (* (* PI 2.0) n) (- (- (fma (* +nan.0 k) k (* +nan.0 k)) +nan.0)) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ (/ +nan.0 (* k k)) k))) (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k))) 15.507 * * * [progress]: adding candidates to table 16.852 * * [progress]: iteration 4 / 4 16.852 * * * [progress]: picking best candidate 16.894 * * * * [pick]: Picked # 16.894 * * * [progress]: localizing error 16.959 * * * [progress]: generating rewritten candidates 16.959 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 17.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) 17.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2 1) 17.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 17.156 * * * [progress]: generating series expansions 17.157 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 17.157 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 17.157 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 17.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 17.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 17.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 17.158 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 17.158 * [taylor]: Taking taylor expansion of 0.5 in k 17.158 * [backup-simplify]: Simplify 0.5 into 0.5 17.158 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.158 * [taylor]: Taking taylor expansion of 1.0 in k 17.158 * [backup-simplify]: Simplify 1.0 into 1.0 17.158 * [taylor]: Taking taylor expansion of k in k 17.158 * [backup-simplify]: Simplify 0 into 0 17.158 * [backup-simplify]: Simplify 1 into 1 17.158 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 17.158 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 17.158 * [taylor]: Taking taylor expansion of 2.0 in k 17.158 * [backup-simplify]: Simplify 2.0 into 2.0 17.158 * [taylor]: Taking taylor expansion of (* n PI) in k 17.158 * [taylor]: Taking taylor expansion of n in k 17.158 * [backup-simplify]: Simplify n into n 17.158 * [taylor]: Taking taylor expansion of PI in k 17.158 * [backup-simplify]: Simplify PI into PI 17.158 * [backup-simplify]: Simplify (* n PI) into (* n PI) 17.158 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 17.158 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 17.159 * [backup-simplify]: Simplify (- 0) into 0 17.159 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.159 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 17.159 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 17.159 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 17.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 17.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 17.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 17.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 17.159 * [taylor]: Taking taylor expansion of 0.5 in n 17.159 * [backup-simplify]: Simplify 0.5 into 0.5 17.159 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.159 * [taylor]: Taking taylor expansion of 1.0 in n 17.159 * [backup-simplify]: Simplify 1.0 into 1.0 17.159 * [taylor]: Taking taylor expansion of k in n 17.159 * [backup-simplify]: Simplify k into k 17.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 17.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.160 * [taylor]: Taking taylor expansion of 2.0 in n 17.160 * [backup-simplify]: Simplify 2.0 into 2.0 17.160 * [taylor]: Taking taylor expansion of (* n PI) in n 17.160 * [taylor]: Taking taylor expansion of n in n 17.160 * [backup-simplify]: Simplify 0 into 0 17.160 * [backup-simplify]: Simplify 1 into 1 17.160 * [taylor]: Taking taylor expansion of PI in n 17.160 * [backup-simplify]: Simplify PI into PI 17.160 * [backup-simplify]: Simplify (* 0 PI) into 0 17.160 * [backup-simplify]: Simplify (* 2.0 0) into 0 17.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.162 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 17.163 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.163 * [backup-simplify]: Simplify (- k) into (- k) 17.163 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.163 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 17.164 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 17.165 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 17.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 17.166 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 17.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 17.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 17.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 17.166 * [taylor]: Taking taylor expansion of 0.5 in n 17.166 * [backup-simplify]: Simplify 0.5 into 0.5 17.166 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 17.166 * [taylor]: Taking taylor expansion of 1.0 in n 17.166 * [backup-simplify]: Simplify 1.0 into 1.0 17.166 * [taylor]: Taking taylor expansion of k in n 17.166 * [backup-simplify]: Simplify k into k 17.166 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 17.166 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.166 * [taylor]: Taking taylor expansion of 2.0 in n 17.166 * [backup-simplify]: Simplify 2.0 into 2.0 17.166 * [taylor]: Taking taylor expansion of (* n PI) in n 17.166 * [taylor]: Taking taylor expansion of n in n 17.166 * [backup-simplify]: Simplify 0 into 0 17.166 * [backup-simplify]: Simplify 1 into 1 17.166 * [taylor]: Taking taylor expansion of PI in n 17.166 * [backup-simplify]: Simplify PI into PI 17.166 * [backup-simplify]: Simplify (* 0 PI) into 0 17.167 * [backup-simplify]: Simplify (* 2.0 0) into 0 17.167 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.168 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 17.169 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.169 * [backup-simplify]: Simplify (- k) into (- k) 17.169 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 17.169 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 17.170 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 17.171 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 17.172 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 17.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 17.172 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 17.172 * [taylor]: Taking taylor expansion of 0.5 in k 17.172 * [backup-simplify]: Simplify 0.5 into 0.5 17.172 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 17.172 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 17.172 * [taylor]: Taking taylor expansion of 1.0 in k 17.172 * [backup-simplify]: Simplify 1.0 into 1.0 17.172 * [taylor]: Taking taylor expansion of k in k 17.172 * [backup-simplify]: Simplify 0 into 0 17.172 * [backup-simplify]: Simplify 1 into 1 17.172 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 17.172 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.172 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.172 * [taylor]: Taking taylor expansion of 2.0 in k 17.172 * [backup-simplify]: Simplify 2.0 into 2.0 17.173 * [taylor]: Taking taylor expansion of PI in k 17.173 * [backup-simplify]: Simplify PI into PI 17.173 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.174 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.174 * [taylor]: Taking taylor expansion of (log n) in k 17.174 * [taylor]: Taking taylor expansion of n in k 17.174 * [backup-simplify]: Simplify n into n 17.174 * [backup-simplify]: Simplify (log n) into (log n) 17.175 * [backup-simplify]: Simplify (- 0) into 0 17.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.176 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 17.177 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 17.178 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 17.180 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 17.180 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 17.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.182 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 17.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.183 * [backup-simplify]: Simplify (- 0) into 0 17.183 * [backup-simplify]: Simplify (+ 0 0) into 0 17.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 17.185 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 17.185 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 17.187 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.187 * [taylor]: Taking taylor expansion of 0 in k 17.187 * [backup-simplify]: Simplify 0 into 0 17.187 * [backup-simplify]: Simplify 0 into 0 17.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 17.189 * [backup-simplify]: Simplify (+ 0 0) into 0 17.189 * [backup-simplify]: Simplify (- 1) into -1 17.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 17.192 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 17.194 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 17.196 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 17.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 17.200 * [backup-simplify]: Simplify (- 0) into 0 17.200 * [backup-simplify]: Simplify (+ 0 0) into 0 17.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 17.202 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 17.203 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 17.204 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.204 * [taylor]: Taking taylor expansion of 0 in k 17.204 * [backup-simplify]: Simplify 0 into 0 17.204 * [backup-simplify]: Simplify 0 into 0 17.204 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 17.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 17.209 * [backup-simplify]: Simplify (+ 0 0) into 0 17.210 * [backup-simplify]: Simplify (- 0) into 0 17.210 * [backup-simplify]: Simplify (+ 0 0) into 0 17.212 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 17.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 17.219 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 17.225 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 17.236 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 17.237 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 17.237 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 17.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 17.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 17.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.237 * [taylor]: Taking taylor expansion of 0.5 in k 17.237 * [backup-simplify]: Simplify 0.5 into 0.5 17.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.237 * [taylor]: Taking taylor expansion of 1.0 in k 17.237 * [backup-simplify]: Simplify 1.0 into 1.0 17.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.237 * [taylor]: Taking taylor expansion of k in k 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 1 into 1 17.237 * [backup-simplify]: Simplify (/ 1 1) into 1 17.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 17.238 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 17.238 * [taylor]: Taking taylor expansion of 2.0 in k 17.238 * [backup-simplify]: Simplify 2.0 into 2.0 17.238 * [taylor]: Taking taylor expansion of (/ PI n) in k 17.238 * [taylor]: Taking taylor expansion of PI in k 17.238 * [backup-simplify]: Simplify PI into PI 17.238 * [taylor]: Taking taylor expansion of n in k 17.238 * [backup-simplify]: Simplify n into n 17.238 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 17.238 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 17.238 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 17.238 * [backup-simplify]: Simplify (- 1) into -1 17.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.239 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.239 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 17.240 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 17.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 17.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 17.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.240 * [taylor]: Taking taylor expansion of 0.5 in n 17.240 * [backup-simplify]: Simplify 0.5 into 0.5 17.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.240 * [taylor]: Taking taylor expansion of 1.0 in n 17.240 * [backup-simplify]: Simplify 1.0 into 1.0 17.240 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.240 * [taylor]: Taking taylor expansion of k in n 17.240 * [backup-simplify]: Simplify k into k 17.240 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 17.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.240 * [taylor]: Taking taylor expansion of 2.0 in n 17.240 * [backup-simplify]: Simplify 2.0 into 2.0 17.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.240 * [taylor]: Taking taylor expansion of PI in n 17.240 * [backup-simplify]: Simplify PI into PI 17.240 * [taylor]: Taking taylor expansion of n in n 17.240 * [backup-simplify]: Simplify 0 into 0 17.240 * [backup-simplify]: Simplify 1 into 1 17.241 * [backup-simplify]: Simplify (/ PI 1) into PI 17.242 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.243 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.243 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.243 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.243 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.246 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 17.247 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 17.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 17.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 17.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.247 * [taylor]: Taking taylor expansion of 0.5 in n 17.247 * [backup-simplify]: Simplify 0.5 into 0.5 17.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.247 * [taylor]: Taking taylor expansion of 1.0 in n 17.247 * [backup-simplify]: Simplify 1.0 into 1.0 17.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.247 * [taylor]: Taking taylor expansion of k in n 17.247 * [backup-simplify]: Simplify k into k 17.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 17.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.248 * [taylor]: Taking taylor expansion of 2.0 in n 17.248 * [backup-simplify]: Simplify 2.0 into 2.0 17.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.248 * [taylor]: Taking taylor expansion of PI in n 17.248 * [backup-simplify]: Simplify PI into PI 17.248 * [taylor]: Taking taylor expansion of n in n 17.248 * [backup-simplify]: Simplify 0 into 0 17.248 * [backup-simplify]: Simplify 1 into 1 17.248 * [backup-simplify]: Simplify (/ PI 1) into PI 17.249 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.250 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.250 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.250 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.250 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.253 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 17.254 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 17.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 17.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 17.254 * [taylor]: Taking taylor expansion of 0.5 in k 17.255 * [backup-simplify]: Simplify 0.5 into 0.5 17.255 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 17.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.255 * [taylor]: Taking taylor expansion of 1.0 in k 17.255 * [backup-simplify]: Simplify 1.0 into 1.0 17.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.255 * [taylor]: Taking taylor expansion of k in k 17.255 * [backup-simplify]: Simplify 0 into 0 17.255 * [backup-simplify]: Simplify 1 into 1 17.255 * [backup-simplify]: Simplify (/ 1 1) into 1 17.255 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 17.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.255 * [taylor]: Taking taylor expansion of 2.0 in k 17.255 * [backup-simplify]: Simplify 2.0 into 2.0 17.255 * [taylor]: Taking taylor expansion of PI in k 17.255 * [backup-simplify]: Simplify PI into PI 17.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.257 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.257 * [taylor]: Taking taylor expansion of (log n) in k 17.257 * [taylor]: Taking taylor expansion of n in k 17.257 * [backup-simplify]: Simplify n into n 17.257 * [backup-simplify]: Simplify (log n) into (log n) 17.258 * [backup-simplify]: Simplify (- 1) into -1 17.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.258 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.260 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 17.265 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 17.267 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 17.268 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 17.269 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 17.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.274 * [backup-simplify]: Simplify (- 0) into 0 17.274 * [backup-simplify]: Simplify (+ 0 0) into 0 17.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.276 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.277 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 17.279 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.279 * [taylor]: Taking taylor expansion of 0 in k 17.279 * [backup-simplify]: Simplify 0 into 0 17.279 * [backup-simplify]: Simplify 0 into 0 17.280 * [backup-simplify]: Simplify 0 into 0 17.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.282 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 17.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.286 * [backup-simplify]: Simplify (- 0) into 0 17.287 * [backup-simplify]: Simplify (+ 0 0) into 0 17.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 17.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.290 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 17.293 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.293 * [taylor]: Taking taylor expansion of 0 in k 17.293 * [backup-simplify]: Simplify 0 into 0 17.293 * [backup-simplify]: Simplify 0 into 0 17.293 * [backup-simplify]: Simplify 0 into 0 17.293 * [backup-simplify]: Simplify 0 into 0 17.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.302 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 17.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.303 * [backup-simplify]: Simplify (- 0) into 0 17.303 * [backup-simplify]: Simplify (+ 0 0) into 0 17.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 17.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.307 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 17.308 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.308 * [taylor]: Taking taylor expansion of 0 in k 17.308 * [backup-simplify]: Simplify 0 into 0 17.308 * [backup-simplify]: Simplify 0 into 0 17.309 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 17.310 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 17.310 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 17.310 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 17.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 17.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 17.310 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.310 * [taylor]: Taking taylor expansion of 0.5 in k 17.310 * [backup-simplify]: Simplify 0.5 into 0.5 17.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.310 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.310 * [taylor]: Taking taylor expansion of k in k 17.310 * [backup-simplify]: Simplify 0 into 0 17.310 * [backup-simplify]: Simplify 1 into 1 17.310 * [backup-simplify]: Simplify (/ 1 1) into 1 17.310 * [taylor]: Taking taylor expansion of 1.0 in k 17.310 * [backup-simplify]: Simplify 1.0 into 1.0 17.310 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 17.310 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 17.310 * [taylor]: Taking taylor expansion of -2.0 in k 17.310 * [backup-simplify]: Simplify -2.0 into -2.0 17.310 * [taylor]: Taking taylor expansion of (/ PI n) in k 17.310 * [taylor]: Taking taylor expansion of PI in k 17.310 * [backup-simplify]: Simplify PI into PI 17.310 * [taylor]: Taking taylor expansion of n in k 17.310 * [backup-simplify]: Simplify n into n 17.310 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 17.311 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 17.311 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 17.311 * [backup-simplify]: Simplify (+ 1 0) into 1 17.311 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.311 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 17.311 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 17.311 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.311 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.312 * [taylor]: Taking taylor expansion of 0.5 in n 17.312 * [backup-simplify]: Simplify 0.5 into 0.5 17.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.312 * [taylor]: Taking taylor expansion of k in n 17.312 * [backup-simplify]: Simplify k into k 17.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.312 * [taylor]: Taking taylor expansion of 1.0 in n 17.312 * [backup-simplify]: Simplify 1.0 into 1.0 17.312 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.312 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.312 * [taylor]: Taking taylor expansion of -2.0 in n 17.312 * [backup-simplify]: Simplify -2.0 into -2.0 17.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.312 * [taylor]: Taking taylor expansion of PI in n 17.312 * [backup-simplify]: Simplify PI into PI 17.312 * [taylor]: Taking taylor expansion of n in n 17.312 * [backup-simplify]: Simplify 0 into 0 17.312 * [backup-simplify]: Simplify 1 into 1 17.312 * [backup-simplify]: Simplify (/ PI 1) into PI 17.312 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.313 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.313 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.313 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.315 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 17.316 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 17.316 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.316 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.316 * [taylor]: Taking taylor expansion of 0.5 in n 17.316 * [backup-simplify]: Simplify 0.5 into 0.5 17.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.316 * [taylor]: Taking taylor expansion of k in n 17.316 * [backup-simplify]: Simplify k into k 17.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.316 * [taylor]: Taking taylor expansion of 1.0 in n 17.316 * [backup-simplify]: Simplify 1.0 into 1.0 17.316 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.316 * [taylor]: Taking taylor expansion of -2.0 in n 17.316 * [backup-simplify]: Simplify -2.0 into -2.0 17.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.316 * [taylor]: Taking taylor expansion of PI in n 17.316 * [backup-simplify]: Simplify PI into PI 17.316 * [taylor]: Taking taylor expansion of n in n 17.316 * [backup-simplify]: Simplify 0 into 0 17.316 * [backup-simplify]: Simplify 1 into 1 17.317 * [backup-simplify]: Simplify (/ PI 1) into PI 17.317 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.318 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.318 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.318 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.319 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 17.320 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 17.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 17.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 17.320 * [taylor]: Taking taylor expansion of 0.5 in k 17.320 * [backup-simplify]: Simplify 0.5 into 0.5 17.320 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 17.320 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 17.320 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 17.320 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 17.320 * [taylor]: Taking taylor expansion of -2.0 in k 17.320 * [backup-simplify]: Simplify -2.0 into -2.0 17.320 * [taylor]: Taking taylor expansion of PI in k 17.320 * [backup-simplify]: Simplify PI into PI 17.321 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.322 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.322 * [taylor]: Taking taylor expansion of (log n) in k 17.322 * [taylor]: Taking taylor expansion of n in k 17.322 * [backup-simplify]: Simplify n into n 17.322 * [backup-simplify]: Simplify (log n) into (log n) 17.322 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.322 * [taylor]: Taking taylor expansion of k in k 17.322 * [backup-simplify]: Simplify 0 into 0 17.322 * [backup-simplify]: Simplify 1 into 1 17.322 * [backup-simplify]: Simplify (/ 1 1) into 1 17.322 * [taylor]: Taking taylor expansion of 1.0 in k 17.322 * [backup-simplify]: Simplify 1.0 into 1.0 17.322 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.323 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 17.323 * [backup-simplify]: Simplify (+ 1 0) into 1 17.324 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 17.324 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 17.325 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 17.326 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 17.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.327 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 17.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 17.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.329 * [backup-simplify]: Simplify (+ 0 0) into 0 17.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 17.330 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.331 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 17.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.332 * [taylor]: Taking taylor expansion of 0 in k 17.332 * [backup-simplify]: Simplify 0 into 0 17.332 * [backup-simplify]: Simplify 0 into 0 17.332 * [backup-simplify]: Simplify 0 into 0 17.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.333 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 17.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.336 * [backup-simplify]: Simplify (+ 0 0) into 0 17.337 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.340 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 17.343 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.343 * [taylor]: Taking taylor expansion of 0 in k 17.343 * [backup-simplify]: Simplify 0 into 0 17.343 * [backup-simplify]: Simplify 0 into 0 17.343 * [backup-simplify]: Simplify 0 into 0 17.343 * [backup-simplify]: Simplify 0 into 0 17.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.346 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.353 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 17.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.353 * [backup-simplify]: Simplify (+ 0 0) into 0 17.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 17.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.359 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 17.362 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.362 * [taylor]: Taking taylor expansion of 0 in k 17.362 * [backup-simplify]: Simplify 0 into 0 17.362 * [backup-simplify]: Simplify 0 into 0 17.364 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 17.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1) 17.364 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 17.364 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 17.364 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 17.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 17.364 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 17.364 * [taylor]: Taking taylor expansion of 1/3 in k 17.364 * [backup-simplify]: Simplify 1/3 into 1/3 17.364 * [taylor]: Taking taylor expansion of (log k) in k 17.364 * [taylor]: Taking taylor expansion of k in k 17.364 * [backup-simplify]: Simplify 0 into 0 17.364 * [backup-simplify]: Simplify 1 into 1 17.365 * [backup-simplify]: Simplify (log 1) into 0 17.365 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.365 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 17.365 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 17.365 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 17.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 17.365 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 17.365 * [taylor]: Taking taylor expansion of 1/3 in k 17.366 * [backup-simplify]: Simplify 1/3 into 1/3 17.366 * [taylor]: Taking taylor expansion of (log k) in k 17.366 * [taylor]: Taking taylor expansion of k in k 17.366 * [backup-simplify]: Simplify 0 into 0 17.366 * [backup-simplify]: Simplify 1 into 1 17.366 * [backup-simplify]: Simplify (log 1) into 0 17.367 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.367 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 17.367 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 17.367 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 17.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.369 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.370 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 17.370 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.370 * [backup-simplify]: Simplify 0 into 0 17.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.374 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 17.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.376 * [backup-simplify]: Simplify 0 into 0 17.382 * [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 17.382 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 17.385 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.385 * [backup-simplify]: Simplify 0 into 0 17.396 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.397 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 17.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (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 17.404 * [backup-simplify]: Simplify 0 into 0 17.422 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.423 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 17.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.429 * [backup-simplify]: Simplify 0 into 0 17.460 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.461 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 17.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.470 * [backup-simplify]: Simplify 0 into 0 17.470 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 17.470 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 17.470 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 17.470 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.470 * [taylor]: Taking taylor expansion of 1/3 in k 17.470 * [backup-simplify]: Simplify 1/3 into 1/3 17.470 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.470 * [taylor]: Taking taylor expansion of k in k 17.470 * [backup-simplify]: Simplify 0 into 0 17.470 * [backup-simplify]: Simplify 1 into 1 17.471 * [backup-simplify]: Simplify (/ 1 1) into 1 17.471 * [backup-simplify]: Simplify (log 1) into 0 17.472 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.472 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.472 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.472 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.472 * [taylor]: Taking taylor expansion of 1/3 in k 17.472 * [backup-simplify]: Simplify 1/3 into 1/3 17.472 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.472 * [taylor]: Taking taylor expansion of k in k 17.472 * [backup-simplify]: Simplify 0 into 0 17.472 * [backup-simplify]: Simplify 1 into 1 17.473 * [backup-simplify]: Simplify (/ 1 1) into 1 17.473 * [backup-simplify]: Simplify (log 1) into 0 17.474 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.474 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.474 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.474 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 17.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.477 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 17.479 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.479 * [backup-simplify]: Simplify 0 into 0 17.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.483 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.483 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.486 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.486 * [backup-simplify]: Simplify 0 into 0 17.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.492 * [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 17.493 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.496 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.496 * [backup-simplify]: Simplify 0 into 0 17.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.507 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.508 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.514 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (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 17.514 * [backup-simplify]: Simplify 0 into 0 17.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.533 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.534 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.538 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.538 * [backup-simplify]: Simplify 0 into 0 17.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.558 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.559 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 17.563 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.564 * [backup-simplify]: Simplify 0 into 0 17.564 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 17.564 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.564 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 17.564 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 17.564 * [taylor]: Taking taylor expansion of (cbrt -1) in k 17.564 * [taylor]: Taking taylor expansion of -1 in k 17.564 * [backup-simplify]: Simplify -1 into -1 17.564 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 17.565 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 17.565 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.565 * [taylor]: Taking taylor expansion of 1/3 in k 17.565 * [backup-simplify]: Simplify 1/3 into 1/3 17.565 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.565 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.565 * [taylor]: Taking taylor expansion of k in k 17.565 * [backup-simplify]: Simplify 0 into 0 17.565 * [backup-simplify]: Simplify 1 into 1 17.565 * [backup-simplify]: Simplify (/ 1 1) into 1 17.566 * [backup-simplify]: Simplify (log 1) into 0 17.566 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.566 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.566 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.566 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 17.566 * [taylor]: Taking taylor expansion of (cbrt -1) in k 17.566 * [taylor]: Taking taylor expansion of -1 in k 17.566 * [backup-simplify]: Simplify -1 into -1 17.566 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 17.567 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 17.567 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.567 * [taylor]: Taking taylor expansion of 1/3 in k 17.567 * [backup-simplify]: Simplify 1/3 into 1/3 17.567 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.567 * [taylor]: Taking taylor expansion of k in k 17.567 * [backup-simplify]: Simplify 0 into 0 17.567 * [backup-simplify]: Simplify 1 into 1 17.567 * [backup-simplify]: Simplify (/ 1 1) into 1 17.567 * [backup-simplify]: Simplify (log 1) into 0 17.568 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.568 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.568 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.569 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.569 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.572 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 17.573 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.574 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 17.574 * [backup-simplify]: Simplify 0 into 0 17.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.577 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.578 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.579 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.581 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 17.581 * [backup-simplify]: Simplify 0 into 0 17.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.584 * [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 17.584 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.586 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.588 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 17.588 * [backup-simplify]: Simplify 0 into 0 17.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.594 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.595 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.596 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.598 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (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 17.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.600 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 17.600 * [backup-simplify]: Simplify 0 into 0 17.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.616 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.617 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.623 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.627 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 17.627 * [backup-simplify]: Simplify 0 into 0 17.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.661 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.661 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.664 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 17.670 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.683 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 17.683 * [backup-simplify]: Simplify 0 into 0 17.683 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 17.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2 1) 17.684 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 17.684 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 17.684 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 17.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 17.684 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 17.684 * [taylor]: Taking taylor expansion of 1/3 in k 17.684 * [backup-simplify]: Simplify 1/3 into 1/3 17.684 * [taylor]: Taking taylor expansion of (log k) in k 17.684 * [taylor]: Taking taylor expansion of k in k 17.684 * [backup-simplify]: Simplify 0 into 0 17.684 * [backup-simplify]: Simplify 1 into 1 17.684 * [backup-simplify]: Simplify (log 1) into 0 17.685 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.685 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 17.685 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 17.685 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 17.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 17.685 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 17.685 * [taylor]: Taking taylor expansion of 1/3 in k 17.685 * [backup-simplify]: Simplify 1/3 into 1/3 17.685 * [taylor]: Taking taylor expansion of (log k) in k 17.685 * [taylor]: Taking taylor expansion of k in k 17.685 * [backup-simplify]: Simplify 0 into 0 17.685 * [backup-simplify]: Simplify 1 into 1 17.686 * [backup-simplify]: Simplify (log 1) into 0 17.686 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.686 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 17.686 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 17.687 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 17.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.689 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 17.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.691 * [backup-simplify]: Simplify 0 into 0 17.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.695 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 17.697 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.697 * [backup-simplify]: Simplify 0 into 0 17.702 * [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 17.703 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.704 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 17.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.706 * [backup-simplify]: Simplify 0 into 0 17.717 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.718 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.719 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 17.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (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 17.722 * [backup-simplify]: Simplify 0 into 0 17.741 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.741 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 17.747 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.747 * [backup-simplify]: Simplify 0 into 0 17.778 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.779 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.781 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 17.787 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.787 * [backup-simplify]: Simplify 0 into 0 17.788 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 17.788 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 17.788 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 17.788 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.788 * [taylor]: Taking taylor expansion of 1/3 in k 17.788 * [backup-simplify]: Simplify 1/3 into 1/3 17.788 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.788 * [taylor]: Taking taylor expansion of k in k 17.788 * [backup-simplify]: Simplify 0 into 0 17.788 * [backup-simplify]: Simplify 1 into 1 17.788 * [backup-simplify]: Simplify (/ 1 1) into 1 17.789 * [backup-simplify]: Simplify (log 1) into 0 17.789 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.789 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.789 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.789 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.790 * [taylor]: Taking taylor expansion of 1/3 in k 17.790 * [backup-simplify]: Simplify 1/3 into 1/3 17.790 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.790 * [taylor]: Taking taylor expansion of k in k 17.790 * [backup-simplify]: Simplify 0 into 0 17.790 * [backup-simplify]: Simplify 1 into 1 17.790 * [backup-simplify]: Simplify (/ 1 1) into 1 17.791 * [backup-simplify]: Simplify (log 1) into 0 17.791 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.791 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.791 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.792 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 17.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.794 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 17.796 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.796 * [backup-simplify]: Simplify 0 into 0 17.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.800 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.802 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.803 * [backup-simplify]: Simplify 0 into 0 17.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.809 * [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 17.809 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.812 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.812 * [backup-simplify]: Simplify 0 into 0 17.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.824 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.825 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.829 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (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 17.830 * [backup-simplify]: Simplify 0 into 0 17.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.857 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.857 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.859 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.862 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.863 * [backup-simplify]: Simplify 0 into 0 17.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.896 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.896 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 17.905 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.905 * [backup-simplify]: Simplify 0 into 0 17.906 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 17.906 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.906 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 17.906 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 17.906 * [taylor]: Taking taylor expansion of (cbrt -1) in k 17.906 * [taylor]: Taking taylor expansion of -1 in k 17.906 * [backup-simplify]: Simplify -1 into -1 17.906 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 17.907 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 17.907 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.907 * [taylor]: Taking taylor expansion of 1/3 in k 17.907 * [backup-simplify]: Simplify 1/3 into 1/3 17.907 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.907 * [taylor]: Taking taylor expansion of k in k 17.907 * [backup-simplify]: Simplify 0 into 0 17.908 * [backup-simplify]: Simplify 1 into 1 17.908 * [backup-simplify]: Simplify (/ 1 1) into 1 17.908 * [backup-simplify]: Simplify (log 1) into 0 17.909 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.909 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.909 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.909 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 17.909 * [taylor]: Taking taylor expansion of (cbrt -1) in k 17.909 * [taylor]: Taking taylor expansion of -1 in k 17.909 * [backup-simplify]: Simplify -1 into -1 17.910 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 17.910 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 17.910 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 17.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 17.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 17.910 * [taylor]: Taking taylor expansion of 1/3 in k 17.910 * [backup-simplify]: Simplify 1/3 into 1/3 17.910 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.911 * [taylor]: Taking taylor expansion of k in k 17.911 * [backup-simplify]: Simplify 0 into 0 17.911 * [backup-simplify]: Simplify 1 into 1 17.911 * [backup-simplify]: Simplify (/ 1 1) into 1 17.911 * [backup-simplify]: Simplify (log 1) into 0 17.912 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.912 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 17.912 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 17.912 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.913 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 17.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.914 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 17.915 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.916 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 17.916 * [backup-simplify]: Simplify 0 into 0 17.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.918 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.919 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.920 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.921 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 17.921 * [backup-simplify]: Simplify 0 into 0 17.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.925 * [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 17.925 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.926 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.927 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.929 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 17.929 * [backup-simplify]: Simplify 0 into 0 17.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.935 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.936 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.938 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (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 17.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.940 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 17.940 * [backup-simplify]: Simplify 0 into 0 17.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.957 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.958 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.964 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.968 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 17.968 * [backup-simplify]: Simplify 0 into 0 17.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.008 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.009 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.018 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.022 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 18.022 * [backup-simplify]: Simplify 0 into 0 18.023 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 18.023 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 18.024 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 18.024 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in (k) around 0 18.024 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in k 18.024 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.024 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.024 * [taylor]: Taking taylor expansion of 1.0 in k 18.024 * [backup-simplify]: Simplify 1.0 into 1.0 18.024 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.025 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) in k 18.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 18.025 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 18.025 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 18.026 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 18.026 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 18.026 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 18.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 18.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.027 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.027 * [taylor]: Taking taylor expansion of 1/3 in k 18.027 * [backup-simplify]: Simplify 1/3 into 1/3 18.027 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.027 * [taylor]: Taking taylor expansion of k in k 18.027 * [backup-simplify]: Simplify 0 into 0 18.027 * [backup-simplify]: Simplify 1 into 1 18.027 * [backup-simplify]: Simplify (/ 1 1) into 1 18.028 * [backup-simplify]: Simplify (log 1) into 0 18.028 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.028 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.029 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.029 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in k 18.029 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.029 * [taylor]: Taking taylor expansion of 1.0 in k 18.029 * [backup-simplify]: Simplify 1.0 into 1.0 18.029 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.030 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) in k 18.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 18.030 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 18.030 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 18.030 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 18.030 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 18.031 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 18.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 18.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.031 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 18.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 18.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 18.031 * [taylor]: Taking taylor expansion of 1/3 in k 18.031 * [backup-simplify]: Simplify 1/3 into 1/3 18.031 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 18.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.031 * [taylor]: Taking taylor expansion of k in k 18.032 * [backup-simplify]: Simplify 0 into 0 18.032 * [backup-simplify]: Simplify 1 into 1 18.032 * [backup-simplify]: Simplify (/ 1 1) into 1 18.032 * [backup-simplify]: Simplify (log 1) into 0 18.033 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.033 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 18.033 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 18.034 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 18.035 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow k -1/3)) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) 18.036 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 18.038 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 18.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.041 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 18.042 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.042 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (pow k -1/3))) into 0 18.043 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 18.044 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))) into 0 18.044 * [backup-simplify]: Simplify 0 into 0 18.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.047 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 18.048 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 18.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.050 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 18.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 18.051 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 18.052 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))) into 0 18.052 * [backup-simplify]: Simplify 0 into 0 18.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.056 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 18.056 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 18.058 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 18.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.059 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 18.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.061 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 18.062 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))))) into 0 18.062 * [backup-simplify]: Simplify 0 into 0 18.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.070 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.070 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 18.073 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (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 18.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 18.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.075 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 18.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.077 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 18.078 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))))) into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.088 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.089 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 18.092 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 18.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.096 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 18.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.099 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 18.102 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))))))) into 0 18.102 * [backup-simplify]: Simplify 0 into 0 18.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.142 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.143 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 18.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 18.151 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 18.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 18.155 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 18.157 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.159 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 18.162 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))))))) into 0 18.162 * [backup-simplify]: Simplify 0 into 0 18.163 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 18.164 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (/ (/ 1.0 (fabs (cbrt (/ 1 k)))) (sqrt (cbrt (/ 1 k)))))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) 18.164 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) in (k) around 0 18.164 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) in k 18.164 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.164 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.164 * [taylor]: Taking taylor expansion of 1.0 in k 18.164 * [backup-simplify]: Simplify 1.0 into 1.0 18.165 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)) in k 18.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 18.165 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 18.165 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 18.166 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 18.166 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 18.166 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 18.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.167 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.167 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.167 * [taylor]: Taking taylor expansion of 1/3 in k 18.167 * [backup-simplify]: Simplify 1/3 into 1/3 18.167 * [taylor]: Taking taylor expansion of (log k) in k 18.167 * [taylor]: Taking taylor expansion of k in k 18.167 * [backup-simplify]: Simplify 0 into 0 18.167 * [backup-simplify]: Simplify 1 into 1 18.167 * [backup-simplify]: Simplify (log 1) into 0 18.168 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.168 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.168 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.168 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) in k 18.168 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.168 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.168 * [taylor]: Taking taylor expansion of 1.0 in k 18.168 * [backup-simplify]: Simplify 1.0 into 1.0 18.169 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.169 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)) in k 18.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 18.170 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 18.170 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 18.170 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 18.170 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 18.170 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 18.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.171 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 18.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 18.171 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 18.171 * [taylor]: Taking taylor expansion of 1/3 in k 18.171 * [backup-simplify]: Simplify 1/3 into 1/3 18.171 * [taylor]: Taking taylor expansion of (log k) in k 18.171 * [taylor]: Taking taylor expansion of k in k 18.171 * [backup-simplify]: Simplify 0 into 0 18.171 * [backup-simplify]: Simplify 1 into 1 18.171 * [backup-simplify]: Simplify (log 1) into 0 18.172 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.172 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 18.172 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 18.174 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 18.174 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)) into (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)) 18.175 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) 18.177 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))) 18.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.179 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 18.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.180 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (* 0 (pow k 1/3))) into 0 18.181 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 18.183 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)))) into 0 18.183 * [backup-simplify]: Simplify 0 into 0 18.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.185 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 18.186 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.188 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (* 0 (pow k 1/3)))) into 0 18.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 18.189 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 18.190 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))))) into 0 18.190 * [backup-simplify]: Simplify 0 into 0 18.193 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 18.194 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 18.195 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.197 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/3))))) into 0 18.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.199 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 18.200 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)))))) into 0 18.200 * [backup-simplify]: Simplify 0 into 0 18.208 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 18.208 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 18.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (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 18.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.215 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.216 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/3)))))) into 0 18.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.219 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 18.222 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))))))) into 0 18.222 * [backup-simplify]: Simplify 0 into 0 18.240 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 18.241 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 18.247 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.251 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/3))))))) into 0 18.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.254 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 18.257 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3)))))))) into 0 18.257 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 18.291 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 18.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.297 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 18.298 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/3)))))))) into 0 18.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 18.300 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 18.302 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) (pow k 1/3))))))))) into 0 18.302 * [backup-simplify]: Simplify 0 into 0 18.303 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))) (pow (/ 1 k) 1/3))) into (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 18.303 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (/ (/ 1.0 (fabs (cbrt (/ 1 (- k))))) (sqrt (cbrt (/ 1 (- k))))))) into (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)))) 18.303 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)))) in (k) around 0 18.303 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)))) in k 18.303 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 18.303 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 18.303 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 18.303 * [taylor]: Taking taylor expansion of 1/4 in k 18.303 * [backup-simplify]: Simplify 1/4 into 1/4 18.303 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 18.303 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 18.303 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.304 * [taylor]: Taking taylor expansion of -1 in k 18.304 * [backup-simplify]: Simplify -1 into -1 18.304 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.304 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.305 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 18.306 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 18.308 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 18.311 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 18.311 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12))) in k 18.311 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.311 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.311 * [taylor]: Taking taylor expansion of 1.0 in k 18.311 * [backup-simplify]: Simplify 1.0 into 1.0 18.312 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)) in k 18.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) in k 18.313 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) in k 18.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 18.313 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.313 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.313 * [taylor]: Taking taylor expansion of -1 in k 18.313 * [backup-simplify]: Simplify -1 into -1 18.313 * [taylor]: Taking taylor expansion of k in k 18.313 * [backup-simplify]: Simplify 0 into 0 18.313 * [backup-simplify]: Simplify 1 into 1 18.313 * [backup-simplify]: Simplify (/ -1 1) into -1 18.314 * [backup-simplify]: Simplify (sqrt 0) into 0 18.315 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.315 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 18.316 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 18.317 * [backup-simplify]: Simplify (* 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into 0 18.318 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) into (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) 18.318 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) into (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 18.319 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) into (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)) 18.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.323 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) into (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) 18.327 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))))) into (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) 18.328 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (/ 1 (sqrt +nan.0)))) 18.328 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 18.328 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 18.328 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 18.328 * [taylor]: Taking taylor expansion of 1/12 in k 18.328 * [backup-simplify]: Simplify 1/12 into 1/12 18.328 * [taylor]: Taking taylor expansion of (log k) in k 18.328 * [taylor]: Taking taylor expansion of k in k 18.328 * [backup-simplify]: Simplify 0 into 0 18.328 * [backup-simplify]: Simplify 1 into 1 18.329 * [backup-simplify]: Simplify (log 1) into 0 18.329 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.329 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 18.330 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 18.330 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)))) in k 18.330 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 18.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 18.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 18.330 * [taylor]: Taking taylor expansion of 1/4 in k 18.330 * [backup-simplify]: Simplify 1/4 into 1/4 18.330 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 18.330 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 18.330 * [taylor]: Taking taylor expansion of (cbrt -1) in k 18.330 * [taylor]: Taking taylor expansion of -1 in k 18.330 * [backup-simplify]: Simplify -1 into -1 18.330 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 18.331 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 18.332 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 18.334 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 18.337 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 18.340 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 18.340 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12))) in k 18.340 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 18.340 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 18.340 * [taylor]: Taking taylor expansion of 1.0 in k 18.340 * [backup-simplify]: Simplify 1.0 into 1.0 18.341 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 18.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 18.342 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow k 1/12)) in k 18.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) in k 18.342 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) in k 18.342 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 18.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 18.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 18.342 * [taylor]: Taking taylor expansion of -1 in k 18.342 * [backup-simplify]: Simplify -1 into -1 18.342 * [taylor]: Taking taylor expansion of k in k 18.342 * [backup-simplify]: Simplify 0 into 0 18.342 * [backup-simplify]: Simplify 1 into 1 18.342 * [backup-simplify]: Simplify (/ -1 1) into -1 18.343 * [backup-simplify]: Simplify (sqrt 0) into 0 18.344 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 18.345 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 18.345 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 18.346 * [backup-simplify]: Simplify (* 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into 0 18.347 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) into (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) 18.348 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) into (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 18.349 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) into (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)) 18.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.353 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) into (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) 18.356 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))))) into (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) 18.358 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (/ 1 (sqrt +nan.0)))) 18.358 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 18.358 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 18.358 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 18.358 * [taylor]: Taking taylor expansion of 1/12 in k 18.358 * [backup-simplify]: Simplify 1/12 into 1/12 18.358 * [taylor]: Taking taylor expansion of (log k) in k 18.358 * [taylor]: Taking taylor expansion of k in k 18.358 * [backup-simplify]: Simplify 0 into 0 18.358 * [backup-simplify]: Simplify 1 into 1 18.358 * [backup-simplify]: Simplify (log 1) into 0 18.359 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.359 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 18.359 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 18.360 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 18.362 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)) (pow k 1/12)) into (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (sqrt +nan.0) (pow k 1/12))) 18.364 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (sqrt +nan.0) (pow k 1/12)))) into (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))) 18.369 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) into (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) 18.374 * [backup-simplify]: Simplify (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) into (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) 18.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 18.376 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.377 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 18.378 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.381 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)) 0) (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (/ 1 (sqrt +nan.0)))) (pow k 1/12))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (sqrt +nan.0)) (pow k 1/12))))) 18.382 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 18.386 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (sqrt +nan.0)) (pow k 1/12)))))) (* 0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (sqrt +nan.0) (pow k 1/12))))) into (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))) 18.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 18.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 18.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 18.393 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.401 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) (* 0 (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))) into (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) 18.405 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) into (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) 18.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 18.411 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 18.412 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 18.413 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) 18.420 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) (* (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (/ (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))))) into (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) 18.423 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))))) (pow (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)))) into (* -1/2 (* (sqrt (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ (+ (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (/ 1 (* (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) (pow (sqrt +nan.0) 2)))))) (sqrt +nan.0)))) 18.427 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (sqrt +nan.0)) 0) (+ (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (/ 1 (sqrt +nan.0)))) 0) (* (* -1/2 (* (sqrt (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ (+ (* +nan.0 (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (- (* +nan.0 (/ 1 (* (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) (pow (sqrt +nan.0) 2)))))) (sqrt +nan.0)))) (pow k 1/12)))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (sqrt +nan.0)) (pow k 1/12)))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (pow (sqrt +nan.0) 3)) (pow k 1/12))))))) 18.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 18.429 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 18.435 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (sqrt +nan.0)) (pow k 1/12)))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (pow (sqrt +nan.0) 3)) (pow k 1/12)))))))) (+ (* 0 (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (/ 1 (sqrt +nan.0)) (pow k 1/12)))))) (* 0 (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* (sqrt +nan.0) (pow k 1/12)))))) into (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))))) 18.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 18.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 18.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 18.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 18.443 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.460 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))))) (+ (* 0 (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) (* 0 (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))) into (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))))) 18.473 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))))) into (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (pow k 1/12)))))))) 18.500 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3))))) (pow (/ 1 (- k)) 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3))))) (pow (/ 1 (- k)) 1/12)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3))))) (pow (/ 1 (- k)) 1/12)))))) (/ 1 (- k))) (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3))))) (pow (/ 1 (- k)) 1/12)))))) into (- (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 k) 1/12)))) (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 25)) 1/12))))) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 25)) 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 13)) 1/12)))))))))) 18.500 * * * [progress]: simplifying candidates 18.509 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 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k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) 1) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 1) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (cbrt 1))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (fabs (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) 1) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (fabs (cbrt k))))) (* (sqrt 1.0) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) (* (pow (sqrt 1.0) 2) (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) (- (* (* (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 k) 1/12)))) (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 25)) 1/12))))) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (pow (sqrt +nan.0) 3)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 25)) 1/12))))) (- (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (sqrt +nan.0)) (* (sqrt (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow (/ -1 (pow k 13)) 1/12)))))))))) 18.523 * * [simplify]: iteration 0: 626 enodes 18.854 * * [simplify]: iteration 1: 1285 enodes 19.383 * * [simplify]: iteration 2: 4634 enodes 20.398 * * [simplify]: iteration complete: 5000 enodes 20.398 * * [simplify]: Extracting #0: cost 162 inf + 0 20.402 * * [simplify]: Extracting #1: cost 752 inf + 1 20.410 * * [simplify]: Extracting #2: cost 1214 inf + 1417 20.429 * * [simplify]: Extracting #3: cost 1600 inf + 36763 20.489 * * [simplify]: Extracting #4: cost 1110 inf + 185854 20.616 * * [simplify]: Extracting #5: cost 494 inf + 433439 20.735 * * [simplify]: Extracting #6: cost 181 inf + 580037 20.901 * * [simplify]: Extracting #7: cost 106 inf + 620008 21.076 * * [simplify]: Extracting #8: cost 46 inf + 683828 21.252 * * [simplify]: Extracting #9: cost 1 inf + 746227 21.426 * * [simplify]: Extracting #10: cost 0 inf + 747254 21.617 * [simplify]: Simplified to: (expm1 (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI (* 2.0 n)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* 2.0 n)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* 2.0 n)))) (* (/ (- 1.0 k) 2.0) (log (* PI (* 2.0 n)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI 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(cbrt k) (cbrt k))))) (sqrt (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt 1.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (fabs (cbrt (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt 1.0))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt 1.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (cbrt (fabs (cbrt k)))) (* (sqrt (cbrt (* (cbrt k) (cbrt k)))) (cbrt (fabs (cbrt k))))))) (* (sqrt (/ (/ 1 (cbrt (fabs (cbrt k)))) (* (sqrt (cbrt (sqrt k))) (cbrt (fabs (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))))) (* (sqrt (/ 1 (* (* (fabs (cbrt (cbrt k))) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (* (sqrt (sqrt (cbrt k))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))))) (* (sqrt (/ 1 (* (sqrt (sqrt (cbrt k))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (sqrt (cbrt (* (cbrt k) (cbrt k)))) (sqrt (fabs (cbrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (sqrt (fabs (cbrt k))) (sqrt (cbrt (sqrt k))))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1 (fabs (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))))) (* (sqrt (/ 1 (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (fabs (cbrt k)))))) (* (sqrt (/ 1 (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))))) (sqrt 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1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt (cbrt k)))))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (/ 1.0 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt (cbrt (sqrt k)))))) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (fabs (cbrt (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt (cbrt k))))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))))) (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k)))))) (* (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))))) (sqrt 1.0)) (- (fma (* (log (* 2.0 PI)) (exp (* 0.5 (log (* PI (* 2.0 n)))))) (* (* (* k k) (log n)) 0.25) (fma (* (* (* (log n) k) (* (log n) k)) (exp (* 0.5 (log (* PI (* 2.0 n)))))) 0.125 (fma (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* 0.5 (log (* PI (* 2.0 n))))))) (* (* k k) 0.125) (exp (* 0.5 (log (* PI (* 2.0 n)))))))) (* 0.5 (* k (fma (log n) (exp (* 0.5 (log (* PI (* 2.0 n))))) (* (log (* 2.0 PI)) (exp (* 0.5 (log (* PI (* 2.0 n)))))))))) (exp (* (* 0.5 (- 1.0 k)) (log (* PI (* 2.0 n))))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (* (* (sqrt (/ 1 (fabs (cbrt k)))) (cbrt (/ 1 k))) 1.0) (* (* (sqrt (/ 1 (fabs (cbrt k)))) (cbrt (/ 1 k))) 1.0) (fma (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (pow (/ 1 (cbrt -1)) 1/4)) (* (pow (/ -1 k) 1/12) (* 1.0 (sqrt +nan.0))) (- (fma (* (* (/ 1.0 (sqrt +nan.0)) +nan.0) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (pow (/ 1 (cbrt -1)) 1/4))) (pow (/ -1 (pow k 25)) 1/12) (fma (* (* (/ 1.0 (sqrt +nan.0)) +nan.0) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (pow (/ 1 (cbrt -1)) 1/4))) (pow (/ -1 (pow k 13)) 1/12) (- (* (* (* (/ (/ 1.0 (sqrt +nan.0)) +nan.0) +nan.0) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (pow (/ 1 (cbrt -1)) 1/4))) (pow (/ -1 (pow k 25)) 1/12))))))) 21.684 * * * [progress]: adding candidates to table 24.009 * [progress]: [Phase 3 of 3] Extracting. 24.009 * * [regime]: Finding splitpoints for: (# # # # # #) 24.013 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 24.013 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 24.066 * * * * [regimes]: Trying to branch on n from (# # # # # #) 24.135 * * * * [regimes]: Trying to branch on k from (# # # # # #) 24.243 * * * [regime]: Found split indices: #