45.714 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.156 * * * [progress]: [2/2] Setting up program. 0.161 * [progress]: [Phase 2 of 3] Improving. 0.161 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.382 * * [progress]: iteration 1 / 4 2.382 * * * [progress]: picking best candidate 2.386 * * * * [pick]: Picked # 2.386 * * * [progress]: localizing error 2.402 * * * [progress]: generating rewritten candidates 2.402 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.489 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.495 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.972 * * * [progress]: generating series expansions 2.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.973 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.973 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.973 * [taylor]: Taking taylor expansion of 0.5 in k 2.973 * [backup-simplify]: Simplify 0.5 into 0.5 2.973 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.973 * [taylor]: Taking taylor expansion of 1.0 in k 2.973 * [backup-simplify]: Simplify 1.0 into 1.0 2.973 * [taylor]: Taking taylor expansion of k in k 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.973 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.973 * [taylor]: Taking taylor expansion of 2.0 in k 2.973 * [backup-simplify]: Simplify 2.0 into 2.0 2.973 * [taylor]: Taking taylor expansion of (* n PI) in k 2.973 * [taylor]: Taking taylor expansion of n in k 2.973 * [backup-simplify]: Simplify n into n 2.973 * [taylor]: Taking taylor expansion of PI in k 2.973 * [backup-simplify]: Simplify PI into PI 2.973 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.974 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.974 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.974 * [backup-simplify]: Simplify (- 0) into 0 2.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.975 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.975 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.975 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.975 * [taylor]: Taking taylor expansion of 0.5 in n 2.975 * [backup-simplify]: Simplify 0.5 into 0.5 2.975 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.976 * [taylor]: Taking taylor expansion of 1.0 in n 2.976 * [backup-simplify]: Simplify 1.0 into 1.0 2.976 * [taylor]: Taking taylor expansion of k in n 2.976 * [backup-simplify]: Simplify k into k 2.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.976 * [taylor]: Taking taylor expansion of 2.0 in n 2.976 * [backup-simplify]: Simplify 2.0 into 2.0 2.976 * [taylor]: Taking taylor expansion of (* n PI) in n 2.976 * [taylor]: Taking taylor expansion of n in n 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [taylor]: Taking taylor expansion of PI in n 2.976 * [backup-simplify]: Simplify PI into PI 2.976 * [backup-simplify]: Simplify (* 0 PI) into 0 2.977 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.980 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.981 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.981 * [backup-simplify]: Simplify (- k) into (- k) 2.981 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.981 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.984 * [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)))) 2.985 * [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))))) 2.985 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.985 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.985 * [taylor]: Taking taylor expansion of 0.5 in n 2.985 * [backup-simplify]: Simplify 0.5 into 0.5 2.985 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.985 * [taylor]: Taking taylor expansion of 1.0 in n 2.985 * [backup-simplify]: Simplify 1.0 into 1.0 2.985 * [taylor]: Taking taylor expansion of k in n 2.985 * [backup-simplify]: Simplify k into k 2.986 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.986 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.986 * [taylor]: Taking taylor expansion of 2.0 in n 2.986 * [backup-simplify]: Simplify 2.0 into 2.0 2.986 * [taylor]: Taking taylor expansion of (* n PI) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of PI in n 2.986 * [backup-simplify]: Simplify PI into PI 2.986 * [backup-simplify]: Simplify (* 0 PI) into 0 2.987 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.990 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.991 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.991 * [backup-simplify]: Simplify (- k) into (- k) 2.991 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.991 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.994 * [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)))) 2.995 * [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))))) 2.995 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.995 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.995 * [taylor]: Taking taylor expansion of 0.5 in k 2.995 * [backup-simplify]: Simplify 0.5 into 0.5 2.995 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.995 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.996 * [taylor]: Taking taylor expansion of 1.0 in k 2.996 * [backup-simplify]: Simplify 1.0 into 1.0 2.996 * [taylor]: Taking taylor expansion of k in k 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.996 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.996 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.996 * [taylor]: Taking taylor expansion of 2.0 in k 2.996 * [backup-simplify]: Simplify 2.0 into 2.0 2.996 * [taylor]: Taking taylor expansion of PI in k 2.996 * [backup-simplify]: Simplify PI into PI 2.996 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.997 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.997 * [taylor]: Taking taylor expansion of (log n) in k 2.997 * [taylor]: Taking taylor expansion of n in k 2.998 * [backup-simplify]: Simplify n into n 2.998 * [backup-simplify]: Simplify (log n) into (log n) 2.998 * [backup-simplify]: Simplify (- 0) into 0 2.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.999 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.001 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.002 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.003 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.004 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.007 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.011 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.012 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.014 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.015 * [taylor]: Taking taylor expansion of 0 in k 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (- 1) into -1 3.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.021 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.023 * [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)))) 3.027 * [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)))))) 3.030 * [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)))))) 3.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.035 * [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 3.036 * [backup-simplify]: Simplify (- 0) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.039 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.040 * [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 3.040 * [taylor]: Taking taylor expansion of 0 in k 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.047 * [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 3.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.055 * [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 (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.059 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.065 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 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 (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 3.066 * [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)))) 3.066 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.066 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.066 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.066 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.066 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.066 * [taylor]: Taking taylor expansion of 0.5 in k 3.066 * [backup-simplify]: Simplify 0.5 into 0.5 3.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.066 * [taylor]: Taking taylor expansion of 1.0 in k 3.066 * [backup-simplify]: Simplify 1.0 into 1.0 3.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.066 * [taylor]: Taking taylor expansion of k in k 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (/ 1 1) into 1 3.067 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.067 * [taylor]: Taking taylor expansion of 2.0 in k 3.067 * [backup-simplify]: Simplify 2.0 into 2.0 3.067 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.067 * [taylor]: Taking taylor expansion of PI in k 3.067 * [backup-simplify]: Simplify PI into PI 3.067 * [taylor]: Taking taylor expansion of n in k 3.067 * [backup-simplify]: Simplify n into n 3.067 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.067 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.067 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.068 * [backup-simplify]: Simplify (- 1) into -1 3.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.069 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.069 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.069 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.069 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.069 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.070 * [taylor]: Taking taylor expansion of 0.5 in n 3.070 * [backup-simplify]: Simplify 0.5 into 0.5 3.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.070 * [taylor]: Taking taylor expansion of 1.0 in n 3.070 * [backup-simplify]: Simplify 1.0 into 1.0 3.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.070 * [taylor]: Taking taylor expansion of k in n 3.070 * [backup-simplify]: Simplify k into k 3.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.070 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.070 * [taylor]: Taking taylor expansion of 2.0 in n 3.070 * [backup-simplify]: Simplify 2.0 into 2.0 3.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.070 * [taylor]: Taking taylor expansion of PI in n 3.070 * [backup-simplify]: Simplify PI into PI 3.070 * [taylor]: Taking taylor expansion of n in n 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (/ PI 1) into PI 3.071 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.072 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.072 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.073 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.073 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.076 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.077 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.077 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.077 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.077 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.077 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.077 * [taylor]: Taking taylor expansion of 0.5 in n 3.077 * [backup-simplify]: Simplify 0.5 into 0.5 3.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.077 * [taylor]: Taking taylor expansion of 1.0 in n 3.077 * [backup-simplify]: Simplify 1.0 into 1.0 3.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.077 * [taylor]: Taking taylor expansion of k in n 3.077 * [backup-simplify]: Simplify k into k 3.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.078 * [taylor]: Taking taylor expansion of 2.0 in n 3.078 * [backup-simplify]: Simplify 2.0 into 2.0 3.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.078 * [taylor]: Taking taylor expansion of PI in n 3.078 * [backup-simplify]: Simplify PI into PI 3.078 * [taylor]: Taking taylor expansion of n in n 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ PI 1) into PI 3.079 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.080 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.080 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.080 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.081 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.084 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.085 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.085 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.085 * [taylor]: Taking taylor expansion of 0.5 in k 3.085 * [backup-simplify]: Simplify 0.5 into 0.5 3.085 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.085 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.085 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.085 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.085 * [taylor]: Taking taylor expansion of 2.0 in k 3.085 * [backup-simplify]: Simplify 2.0 into 2.0 3.085 * [taylor]: Taking taylor expansion of PI in k 3.085 * [backup-simplify]: Simplify PI into PI 3.086 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.087 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.087 * [taylor]: Taking taylor expansion of (log n) in k 3.087 * [taylor]: Taking taylor expansion of n in k 3.087 * [backup-simplify]: Simplify n into n 3.087 * [backup-simplify]: Simplify (log n) into (log n) 3.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [backup-simplify]: Simplify 1.0 into 1.0 3.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.089 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.090 * [backup-simplify]: Simplify (- 1) into -1 3.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.091 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.093 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.094 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.096 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.100 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.104 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.106 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.106 * [taylor]: Taking taylor expansion of 0 in k 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.112 * [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 3.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.117 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.120 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.120 * [taylor]: Taking taylor expansion of 0 in k 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.128 * [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 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.129 * [backup-simplify]: Simplify (- 0) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.132 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.135 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.138 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.138 * [taylor]: Taking taylor expansion of 0 in k 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 3.140 * [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))) 3.140 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.140 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.140 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.140 * [taylor]: Taking taylor expansion of 0.5 in k 3.140 * [backup-simplify]: Simplify 0.5 into 0.5 3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.140 * [taylor]: Taking taylor expansion of k in k 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [backup-simplify]: Simplify 1.0 into 1.0 3.141 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.141 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.141 * [taylor]: Taking taylor expansion of -2.0 in k 3.141 * [backup-simplify]: Simplify -2.0 into -2.0 3.141 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.141 * [taylor]: Taking taylor expansion of PI in k 3.141 * [backup-simplify]: Simplify PI into PI 3.141 * [taylor]: Taking taylor expansion of n in k 3.141 * [backup-simplify]: Simplify n into n 3.141 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.141 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.141 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.142 * [backup-simplify]: Simplify (+ 1 0) into 1 3.142 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.143 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.143 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.143 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.143 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.143 * [taylor]: Taking taylor expansion of 0.5 in n 3.143 * [backup-simplify]: Simplify 0.5 into 0.5 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.143 * [taylor]: Taking taylor expansion of k in n 3.143 * [backup-simplify]: Simplify k into k 3.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.143 * [taylor]: Taking taylor expansion of 1.0 in n 3.143 * [backup-simplify]: Simplify 1.0 into 1.0 3.143 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.143 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.143 * [taylor]: Taking taylor expansion of -2.0 in n 3.143 * [backup-simplify]: Simplify -2.0 into -2.0 3.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.144 * [taylor]: Taking taylor expansion of PI in n 3.144 * [backup-simplify]: Simplify PI into PI 3.144 * [taylor]: Taking taylor expansion of n in n 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (/ PI 1) into PI 3.145 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.146 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.146 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.146 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.148 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.149 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.150 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.150 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.151 * [taylor]: Taking taylor expansion of 0.5 in n 3.151 * [backup-simplify]: Simplify 0.5 into 0.5 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.151 * [taylor]: Taking taylor expansion of k in n 3.151 * [backup-simplify]: Simplify k into k 3.151 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.151 * [taylor]: Taking taylor expansion of 1.0 in n 3.151 * [backup-simplify]: Simplify 1.0 into 1.0 3.151 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.151 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.151 * [taylor]: Taking taylor expansion of -2.0 in n 3.151 * [backup-simplify]: Simplify -2.0 into -2.0 3.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.151 * [taylor]: Taking taylor expansion of PI in n 3.151 * [backup-simplify]: Simplify PI into PI 3.151 * [taylor]: Taking taylor expansion of n in n 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ PI 1) into PI 3.152 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.153 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.153 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.153 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.156 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.158 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.158 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.158 * [taylor]: Taking taylor expansion of 0.5 in k 3.158 * [backup-simplify]: Simplify 0.5 into 0.5 3.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.158 * [taylor]: Taking taylor expansion of k in k 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (/ 1 1) into 1 3.159 * [taylor]: Taking taylor expansion of 1.0 in k 3.159 * [backup-simplify]: Simplify 1.0 into 1.0 3.159 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.159 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.159 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.159 * [taylor]: Taking taylor expansion of -2.0 in k 3.159 * [backup-simplify]: Simplify -2.0 into -2.0 3.159 * [taylor]: Taking taylor expansion of PI in k 3.159 * [backup-simplify]: Simplify PI into PI 3.160 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.161 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.161 * [taylor]: Taking taylor expansion of (log n) in k 3.161 * [taylor]: Taking taylor expansion of n in k 3.161 * [backup-simplify]: Simplify n into n 3.161 * [backup-simplify]: Simplify (log n) into (log n) 3.161 * [backup-simplify]: Simplify (+ 1 0) into 1 3.161 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.163 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.164 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 3.165 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.168 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.174 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.175 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.178 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.178 * [taylor]: Taking taylor expansion of 0 in k 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.184 * [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 3.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.189 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.196 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.196 * [taylor]: Taking taylor expansion of 0 in k 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.206 * [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 3.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.211 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.215 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.215 * [taylor]: Taking taylor expansion of 0 in k 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.216 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.217 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.217 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.217 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.217 * [taylor]: Taking taylor expansion of 2.0 in n 3.217 * [backup-simplify]: Simplify 2.0 into 2.0 3.217 * [taylor]: Taking taylor expansion of (* n PI) in n 3.217 * [taylor]: Taking taylor expansion of n in n 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of PI in n 3.217 * [backup-simplify]: Simplify PI into PI 3.217 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.217 * [taylor]: Taking taylor expansion of 2.0 in n 3.217 * [backup-simplify]: Simplify 2.0 into 2.0 3.217 * [taylor]: Taking taylor expansion of (* n PI) in n 3.217 * [taylor]: Taking taylor expansion of n in n 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of PI in n 3.217 * [backup-simplify]: Simplify PI into PI 3.218 * [backup-simplify]: Simplify (* 0 PI) into 0 3.219 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.222 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.222 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.233 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.239 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.239 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.239 * [taylor]: Taking taylor expansion of 2.0 in n 3.239 * [backup-simplify]: Simplify 2.0 into 2.0 3.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.239 * [taylor]: Taking taylor expansion of PI in n 3.239 * [backup-simplify]: Simplify PI into PI 3.239 * [taylor]: Taking taylor expansion of n in n 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (/ PI 1) into PI 3.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.239 * [taylor]: Taking taylor expansion of 2.0 in n 3.239 * [backup-simplify]: Simplify 2.0 into 2.0 3.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.239 * [taylor]: Taking taylor expansion of PI in n 3.239 * [backup-simplify]: Simplify PI into PI 3.239 * [taylor]: Taking taylor expansion of n in n 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (/ PI 1) into PI 3.240 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.241 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.248 * [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 3.249 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.250 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.250 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.250 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.250 * [taylor]: Taking taylor expansion of -2.0 in n 3.250 * [backup-simplify]: Simplify -2.0 into -2.0 3.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.250 * [taylor]: Taking taylor expansion of PI in n 3.250 * [backup-simplify]: Simplify PI into PI 3.250 * [taylor]: Taking taylor expansion of n in n 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (/ PI 1) into PI 3.250 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.250 * [taylor]: Taking taylor expansion of -2.0 in n 3.250 * [backup-simplify]: Simplify -2.0 into -2.0 3.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.250 * [taylor]: Taking taylor expansion of PI in n 3.250 * [backup-simplify]: Simplify PI into PI 3.250 * [taylor]: Taking taylor expansion of n in n 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (/ PI 1) into PI 3.251 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.251 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.252 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [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 3.260 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.261 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.261 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.261 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.261 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.261 * [taylor]: Taking taylor expansion of 1.0 in k 3.261 * [backup-simplify]: Simplify 1.0 into 1.0 3.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.261 * [taylor]: Taking taylor expansion of k in k 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (sqrt 0) into 0 3.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.263 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.263 * [taylor]: Taking taylor expansion of 1.0 in k 3.263 * [backup-simplify]: Simplify 1.0 into 1.0 3.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.263 * [taylor]: Taking taylor expansion of k in k 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (/ 1 1) into 1 3.264 * [backup-simplify]: Simplify (sqrt 0) into 0 3.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.266 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.267 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.274 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.275 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.283 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.283 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.285 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 3.285 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.285 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.285 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.285 * [taylor]: Taking taylor expansion of 1.0 in k 3.285 * [backup-simplify]: Simplify 1.0 into 1.0 3.285 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.285 * [taylor]: Taking taylor expansion of k in k 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (sqrt 0) into 0 3.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.287 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.287 * [taylor]: Taking taylor expansion of 1.0 in k 3.287 * [backup-simplify]: Simplify 1.0 into 1.0 3.287 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.287 * [taylor]: Taking taylor expansion of k in k 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (sqrt 0) into 0 3.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.289 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.289 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.297 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.303 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.305 * [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)))))))) 3.305 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.305 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.305 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.305 * [taylor]: Taking taylor expansion of 1.0 in k 3.305 * [backup-simplify]: Simplify 1.0 into 1.0 3.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.305 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.305 * [taylor]: Taking taylor expansion of -1 in k 3.305 * [backup-simplify]: Simplify -1 into -1 3.305 * [taylor]: Taking taylor expansion of k in k 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ -1 1) into -1 3.306 * [backup-simplify]: Simplify (sqrt 0) into 0 3.308 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.309 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.309 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.309 * [taylor]: Taking taylor expansion of 1.0 in k 3.309 * [backup-simplify]: Simplify 1.0 into 1.0 3.309 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.309 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.309 * [taylor]: Taking taylor expansion of -1 in k 3.309 * [backup-simplify]: Simplify -1 into -1 3.309 * [taylor]: Taking taylor expansion of k in k 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (/ -1 1) into -1 3.310 * [backup-simplify]: Simplify (sqrt 0) into 0 3.311 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.312 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.317 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.317 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.326 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.326 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.327 * [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))))) 3.327 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.328 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 3.328 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.328 * [taylor]: Taking taylor expansion of 1.0 in n 3.328 * [backup-simplify]: Simplify 1.0 into 1.0 3.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.328 * [taylor]: Taking taylor expansion of k in n 3.328 * [backup-simplify]: Simplify k into k 3.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.328 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.328 * [taylor]: Taking taylor expansion of 0.5 in n 3.328 * [backup-simplify]: Simplify 0.5 into 0.5 3.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.328 * [taylor]: Taking taylor expansion of 1.0 in n 3.328 * [backup-simplify]: Simplify 1.0 into 1.0 3.328 * [taylor]: Taking taylor expansion of k in n 3.328 * [backup-simplify]: Simplify k into k 3.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.328 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.328 * [taylor]: Taking taylor expansion of 2.0 in n 3.328 * [backup-simplify]: Simplify 2.0 into 2.0 3.328 * [taylor]: Taking taylor expansion of (* n PI) in n 3.328 * [taylor]: Taking taylor expansion of n in n 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of PI in n 3.328 * [backup-simplify]: Simplify PI into PI 3.329 * [backup-simplify]: Simplify (* 0 PI) into 0 3.329 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.331 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.332 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.332 * [backup-simplify]: Simplify (- k) into (- k) 3.332 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.332 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.333 * [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)))) 3.334 * [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))))) 3.334 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.334 * [taylor]: Taking taylor expansion of 1.0 in k 3.334 * [backup-simplify]: Simplify 1.0 into 1.0 3.334 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.334 * [taylor]: Taking taylor expansion of k in k 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (/ 1 1) into 1 3.335 * [backup-simplify]: Simplify (sqrt 0) into 0 3.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.336 * [taylor]: Taking taylor expansion of 0.5 in k 3.336 * [backup-simplify]: Simplify 0.5 into 0.5 3.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.336 * [taylor]: Taking taylor expansion of 1.0 in k 3.336 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [taylor]: Taking taylor expansion of k in k 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.336 * [taylor]: Taking taylor expansion of 2.0 in k 3.336 * [backup-simplify]: Simplify 2.0 into 2.0 3.336 * [taylor]: Taking taylor expansion of (* n PI) in k 3.336 * [taylor]: Taking taylor expansion of n in k 3.336 * [backup-simplify]: Simplify n into n 3.336 * [taylor]: Taking taylor expansion of PI in k 3.336 * [backup-simplify]: Simplify PI into PI 3.336 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.336 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.336 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.337 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.337 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.337 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.337 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.337 * [taylor]: Taking taylor expansion of 1.0 in k 3.337 * [backup-simplify]: Simplify 1.0 into 1.0 3.337 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.337 * [taylor]: Taking taylor expansion of k in k 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [backup-simplify]: Simplify (sqrt 0) into 0 3.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.339 * [taylor]: Taking taylor expansion of 0.5 in k 3.339 * [backup-simplify]: Simplify 0.5 into 0.5 3.339 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.339 * [taylor]: Taking taylor expansion of 1.0 in k 3.339 * [backup-simplify]: Simplify 1.0 into 1.0 3.339 * [taylor]: Taking taylor expansion of k in k 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.339 * [taylor]: Taking taylor expansion of 2.0 in k 3.339 * [backup-simplify]: Simplify 2.0 into 2.0 3.339 * [taylor]: Taking taylor expansion of (* n PI) in k 3.339 * [taylor]: Taking taylor expansion of n in k 3.339 * [backup-simplify]: Simplify n into n 3.339 * [taylor]: Taking taylor expansion of PI in k 3.339 * [backup-simplify]: Simplify PI into PI 3.339 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.339 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.339 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.340 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.340 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.340 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.340 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 3.341 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.341 * [taylor]: Taking taylor expansion of 0 in n 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.341 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.342 * [backup-simplify]: Simplify (- 1) into -1 3.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.344 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.346 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.347 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.349 * [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))) 3.349 * [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 3.349 * [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 3.349 * [taylor]: Taking taylor expansion of +nan.0 in n 3.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.349 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.349 * [taylor]: Taking taylor expansion of 0.5 in n 3.350 * [backup-simplify]: Simplify 0.5 into 0.5 3.350 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.350 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.350 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.350 * [taylor]: Taking taylor expansion of 1.0 in n 3.350 * [backup-simplify]: Simplify 1.0 into 1.0 3.350 * [taylor]: Taking taylor expansion of (log PI) in n 3.350 * [taylor]: Taking taylor expansion of PI in n 3.350 * [backup-simplify]: Simplify PI into PI 3.350 * [backup-simplify]: Simplify (log PI) into (log PI) 3.351 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.353 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.353 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.353 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.353 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.353 * [taylor]: Taking taylor expansion of 1.0 in n 3.353 * [backup-simplify]: Simplify 1.0 into 1.0 3.353 * [taylor]: Taking taylor expansion of (log n) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (log 1) into 0 3.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.354 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.354 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.354 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.355 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.355 * [taylor]: Taking taylor expansion of 1.0 in n 3.355 * [backup-simplify]: Simplify 1.0 into 1.0 3.355 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.355 * [taylor]: Taking taylor expansion of 2.0 in n 3.355 * [backup-simplify]: Simplify 2.0 into 2.0 3.355 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.356 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.358 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.359 * [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) 3.360 * [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) 3.361 * [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)) 3.363 * [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))) 3.364 * [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) 3.366 * [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)) 3.367 * [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))) 3.369 * [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))) 3.369 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.373 * [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 3.373 * [backup-simplify]: Simplify (- 0) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.377 * [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 (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.385 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 3.390 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 3.391 * [taylor]: Taking taylor expansion of (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.391 * [taylor]: Taking taylor expansion of (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.391 * [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 3.391 * [taylor]: Taking taylor expansion of +nan.0 in n 3.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.391 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.391 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.391 * [taylor]: Taking taylor expansion of 0.5 in n 3.391 * [backup-simplify]: Simplify 0.5 into 0.5 3.391 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.391 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.391 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [backup-simplify]: Simplify 1.0 into 1.0 3.391 * [taylor]: Taking taylor expansion of (log PI) in n 3.391 * [taylor]: Taking taylor expansion of PI in n 3.391 * [backup-simplify]: Simplify PI into PI 3.392 * [backup-simplify]: Simplify (log PI) into (log PI) 3.393 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.395 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.395 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.395 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.395 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.395 * [taylor]: Taking taylor expansion of 1.0 in n 3.395 * [backup-simplify]: Simplify 1.0 into 1.0 3.395 * [taylor]: Taking taylor expansion of (log n) in n 3.395 * [taylor]: Taking taylor expansion of n in n 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (log 1) into 0 3.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.396 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.396 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.396 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.396 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.396 * [taylor]: Taking taylor expansion of 1.0 in n 3.396 * [backup-simplify]: Simplify 1.0 into 1.0 3.396 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.396 * [taylor]: Taking taylor expansion of 2.0 in n 3.396 * [backup-simplify]: Simplify 2.0 into 2.0 3.397 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.398 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.399 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.399 * [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) 3.400 * [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) 3.401 * [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)) 3.402 * [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))) 3.402 * [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) 3.403 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.403 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.403 * [taylor]: Taking taylor expansion of +nan.0 in n 3.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.403 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.403 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.403 * [taylor]: Taking taylor expansion of 0.5 in n 3.403 * [backup-simplify]: Simplify 0.5 into 0.5 3.403 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.403 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.403 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.403 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.403 * [taylor]: Taking taylor expansion of 1.0 in n 3.403 * [backup-simplify]: Simplify 1.0 into 1.0 3.403 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.403 * [taylor]: Taking taylor expansion of 2.0 in n 3.403 * [backup-simplify]: Simplify 2.0 into 2.0 3.403 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.404 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.405 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.405 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.405 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.405 * [taylor]: Taking taylor expansion of 1.0 in n 3.405 * [backup-simplify]: Simplify 1.0 into 1.0 3.405 * [taylor]: Taking taylor expansion of (log PI) in n 3.405 * [taylor]: Taking taylor expansion of PI in n 3.405 * [backup-simplify]: Simplify PI into PI 3.405 * [backup-simplify]: Simplify (log PI) into (log PI) 3.406 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.407 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.407 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.407 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.407 * [backup-simplify]: Simplify 1.0 into 1.0 3.407 * [taylor]: Taking taylor expansion of (log n) in n 3.407 * [taylor]: Taking taylor expansion of n in n 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (log 1) into 0 3.408 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.408 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.408 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.408 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.409 * [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) 3.410 * [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)) 3.411 * [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))) 3.412 * [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) 3.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.412 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [backup-simplify]: Simplify 2.0 into 2.0 3.412 * [taylor]: Taking taylor expansion of (* n PI) in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [taylor]: Taking taylor expansion of PI in n 3.412 * [backup-simplify]: Simplify PI into PI 3.412 * [backup-simplify]: Simplify (* 0 PI) into 0 3.413 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.414 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.415 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.416 * [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)) 3.417 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.419 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.420 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.422 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 3.425 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (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)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 3.429 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 3.432 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 3.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.435 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.437 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.438 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.439 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.442 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.444 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.453 * [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 3.455 * [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 3.458 * [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 3.460 * [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 3.460 * [backup-simplify]: Simplify (- 0) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.466 * [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 3.466 * [backup-simplify]: Simplify (- 0) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.469 * [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 (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.476 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.482 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 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 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.482 * [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 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.482 * [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 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.482 * [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 3.482 * [taylor]: Taking taylor expansion of +nan.0 in n 3.482 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.482 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.482 * [taylor]: Taking taylor expansion of 0.5 in n 3.482 * [backup-simplify]: Simplify 0.5 into 0.5 3.482 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.482 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.483 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.483 * [taylor]: Taking taylor expansion of 1.0 in n 3.483 * [backup-simplify]: Simplify 1.0 into 1.0 3.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.483 * [taylor]: Taking taylor expansion of 2.0 in n 3.483 * [backup-simplify]: Simplify 2.0 into 2.0 3.483 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.483 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.484 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.484 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.484 * [taylor]: Taking taylor expansion of 1.0 in n 3.485 * [backup-simplify]: Simplify 1.0 into 1.0 3.485 * [taylor]: Taking taylor expansion of (log n) in n 3.485 * [taylor]: Taking taylor expansion of n in n 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (log 1) into 0 3.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.485 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.485 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.485 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.485 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.485 * [taylor]: Taking taylor expansion of 1.0 in n 3.485 * [backup-simplify]: Simplify 1.0 into 1.0 3.485 * [taylor]: Taking taylor expansion of (log PI) in n 3.485 * [taylor]: Taking taylor expansion of PI in n 3.485 * [backup-simplify]: Simplify PI into PI 3.486 * [backup-simplify]: Simplify (log PI) into (log PI) 3.486 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.487 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.488 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.488 * [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) 3.489 * [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)) 3.490 * [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))) 3.491 * [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) 3.491 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.491 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.491 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.491 * [taylor]: Taking taylor expansion of +nan.0 in n 3.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.491 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.491 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.491 * [taylor]: Taking taylor expansion of 0.5 in n 3.491 * [backup-simplify]: Simplify 0.5 into 0.5 3.491 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.491 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.491 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.491 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.491 * [backup-simplify]: Simplify 1.0 into 1.0 3.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.491 * [taylor]: Taking taylor expansion of 2.0 in n 3.491 * [backup-simplify]: Simplify 2.0 into 2.0 3.492 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.492 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.493 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.493 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.493 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.493 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.493 * [taylor]: Taking taylor expansion of 1.0 in n 3.493 * [backup-simplify]: Simplify 1.0 into 1.0 3.493 * [taylor]: Taking taylor expansion of (log PI) in n 3.493 * [taylor]: Taking taylor expansion of PI in n 3.493 * [backup-simplify]: Simplify PI into PI 3.494 * [backup-simplify]: Simplify (log PI) into (log PI) 3.494 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.495 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.495 * [taylor]: Taking taylor expansion of 1.0 in n 3.495 * [backup-simplify]: Simplify 1.0 into 1.0 3.495 * [taylor]: Taking taylor expansion of (log n) in n 3.495 * [taylor]: Taking taylor expansion of n in n 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (log 1) into 0 3.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.496 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.496 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.497 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.497 * [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) 3.498 * [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)) 3.499 * [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))) 3.501 * [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) 3.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.501 * [taylor]: Taking taylor expansion of 2.0 in n 3.501 * [backup-simplify]: Simplify 2.0 into 2.0 3.501 * [taylor]: Taking taylor expansion of (* n PI) in n 3.501 * [taylor]: Taking taylor expansion of n in n 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [taylor]: Taking taylor expansion of PI in n 3.501 * [backup-simplify]: Simplify PI into PI 3.502 * [backup-simplify]: Simplify (* 0 PI) into 0 3.502 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.505 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.506 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.506 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.506 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.507 * [taylor]: Taking taylor expansion of +nan.0 in n 3.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.507 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.507 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.507 * [taylor]: Taking taylor expansion of 0.5 in n 3.507 * [backup-simplify]: Simplify 0.5 into 0.5 3.507 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.507 * [taylor]: Taking taylor expansion of 1.0 in n 3.507 * [backup-simplify]: Simplify 1.0 into 1.0 3.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.507 * [taylor]: Taking taylor expansion of 2.0 in n 3.507 * [backup-simplify]: Simplify 2.0 into 2.0 3.507 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.508 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.510 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.510 * [taylor]: Taking taylor expansion of 1.0 in n 3.510 * [backup-simplify]: Simplify 1.0 into 1.0 3.510 * [taylor]: Taking taylor expansion of (log PI) in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.511 * [backup-simplify]: Simplify PI into PI 3.511 * [backup-simplify]: Simplify (log PI) into (log PI) 3.512 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.514 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.514 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.514 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.514 * [taylor]: Taking taylor expansion of 1.0 in n 3.514 * [backup-simplify]: Simplify 1.0 into 1.0 3.514 * [taylor]: Taking taylor expansion of (log n) in n 3.514 * [taylor]: Taking taylor expansion of n in n 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (log 1) into 0 3.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.515 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.515 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.516 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.517 * [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) 3.518 * [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)) 3.519 * [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))) 3.521 * [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) 3.521 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.521 * [taylor]: Taking taylor expansion of 2.0 in n 3.521 * [backup-simplify]: Simplify 2.0 into 2.0 3.521 * [taylor]: Taking taylor expansion of (* n PI) in n 3.521 * [taylor]: Taking taylor expansion of n in n 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [taylor]: Taking taylor expansion of PI in n 3.521 * [backup-simplify]: Simplify PI into PI 3.522 * [backup-simplify]: Simplify (* 0 PI) into 0 3.522 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.525 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.526 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.527 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.528 * [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)) 3.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.531 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.532 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.533 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.535 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.537 * [backup-simplify]: Simplify (* (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) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.538 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.540 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 3.547 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 3.556 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 3.574 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 3.593 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 3.610 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 3.629 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 3.630 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 3.630 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.630 * [taylor]: Taking taylor expansion of 1.0 in n 3.630 * [backup-simplify]: Simplify 1.0 into 1.0 3.630 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.630 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.630 * [taylor]: Taking taylor expansion of k in n 3.630 * [backup-simplify]: Simplify k into k 3.630 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.630 * [taylor]: Taking taylor expansion of 0.5 in n 3.630 * [backup-simplify]: Simplify 0.5 into 0.5 3.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.630 * [taylor]: Taking taylor expansion of 1.0 in n 3.630 * [backup-simplify]: Simplify 1.0 into 1.0 3.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.630 * [taylor]: Taking taylor expansion of k in n 3.630 * [backup-simplify]: Simplify k into k 3.630 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.630 * [taylor]: Taking taylor expansion of 2.0 in n 3.630 * [backup-simplify]: Simplify 2.0 into 2.0 3.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.630 * [taylor]: Taking taylor expansion of PI in n 3.630 * [backup-simplify]: Simplify PI into PI 3.630 * [taylor]: Taking taylor expansion of n in n 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ PI 1) into PI 3.631 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.632 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.632 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.632 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.632 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.634 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.634 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.634 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.634 * [taylor]: Taking taylor expansion of 1.0 in k 3.634 * [backup-simplify]: Simplify 1.0 into 1.0 3.634 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.634 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.634 * [taylor]: Taking taylor expansion of k in k 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (sqrt 0) into 0 3.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.636 * [taylor]: Taking taylor expansion of 0.5 in k 3.636 * [backup-simplify]: Simplify 0.5 into 0.5 3.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.636 * [taylor]: Taking taylor expansion of 1.0 in k 3.636 * [backup-simplify]: Simplify 1.0 into 1.0 3.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.636 * [taylor]: Taking taylor expansion of k in k 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.636 * [taylor]: Taking taylor expansion of 2.0 in k 3.636 * [backup-simplify]: Simplify 2.0 into 2.0 3.636 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.636 * [taylor]: Taking taylor expansion of PI in k 3.636 * [backup-simplify]: Simplify PI into PI 3.636 * [taylor]: Taking taylor expansion of n in k 3.636 * [backup-simplify]: Simplify n into n 3.636 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.636 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.636 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.637 * [backup-simplify]: Simplify (- 1) into -1 3.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.637 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.637 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.637 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.637 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.637 * [taylor]: Taking taylor expansion of 1.0 in k 3.638 * [backup-simplify]: Simplify 1.0 into 1.0 3.638 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.638 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.638 * [taylor]: Taking taylor expansion of k in k 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (sqrt 0) into 0 3.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.639 * [taylor]: Taking taylor expansion of 0.5 in k 3.639 * [backup-simplify]: Simplify 0.5 into 0.5 3.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.639 * [taylor]: Taking taylor expansion of 1.0 in k 3.639 * [backup-simplify]: Simplify 1.0 into 1.0 3.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.639 * [taylor]: Taking taylor expansion of k in k 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.639 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.639 * [taylor]: Taking taylor expansion of 2.0 in k 3.639 * [backup-simplify]: Simplify 2.0 into 2.0 3.639 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.639 * [taylor]: Taking taylor expansion of PI in k 3.639 * [backup-simplify]: Simplify PI into PI 3.639 * [taylor]: Taking taylor expansion of n in k 3.639 * [backup-simplify]: Simplify n into n 3.639 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.639 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.639 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.640 * [backup-simplify]: Simplify (- 1) into -1 3.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.640 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.640 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.640 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 3.641 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 3.641 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.641 * [taylor]: Taking taylor expansion of 0 in n 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.642 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.642 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.642 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.642 * [taylor]: Taking taylor expansion of +nan.0 in n 3.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.642 * [taylor]: Taking taylor expansion of 0.5 in n 3.642 * [backup-simplify]: Simplify 0.5 into 0.5 3.642 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.642 * [taylor]: Taking taylor expansion of 2.0 in n 3.642 * [backup-simplify]: Simplify 2.0 into 2.0 3.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.642 * [taylor]: Taking taylor expansion of PI in n 3.642 * [backup-simplify]: Simplify PI into PI 3.642 * [taylor]: Taking taylor expansion of n in n 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ PI 1) into PI 3.643 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.644 * [taylor]: Taking taylor expansion of 1.0 in n 3.644 * [backup-simplify]: Simplify 1.0 into 1.0 3.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.644 * [taylor]: Taking taylor expansion of k in n 3.644 * [backup-simplify]: Simplify k into k 3.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.645 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.645 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.645 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.646 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.647 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.648 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.649 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.649 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.649 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.653 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.653 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.653 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.653 * [taylor]: Taking taylor expansion of +nan.0 in n 3.653 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.653 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.653 * [taylor]: Taking taylor expansion of 0.5 in n 3.653 * [backup-simplify]: Simplify 0.5 into 0.5 3.653 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.653 * [taylor]: Taking taylor expansion of 2.0 in n 3.653 * [backup-simplify]: Simplify 2.0 into 2.0 3.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.653 * [taylor]: Taking taylor expansion of PI in n 3.653 * [backup-simplify]: Simplify PI into PI 3.653 * [taylor]: Taking taylor expansion of n in n 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (/ PI 1) into PI 3.654 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.654 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.654 * [taylor]: Taking taylor expansion of 1.0 in n 3.654 * [backup-simplify]: Simplify 1.0 into 1.0 3.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.654 * [taylor]: Taking taylor expansion of k in n 3.654 * [backup-simplify]: Simplify k into k 3.654 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.655 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.655 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.656 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.657 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.658 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.658 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.659 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.660 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.661 * [backup-simplify]: Simplify (- 0) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.664 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 3.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.672 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 3.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.672 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.672 * [taylor]: Taking taylor expansion of +nan.0 in n 3.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.672 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.672 * [taylor]: Taking taylor expansion of 0.5 in n 3.672 * [backup-simplify]: Simplify 0.5 into 0.5 3.672 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.672 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.672 * [taylor]: Taking taylor expansion of 2.0 in n 3.672 * [backup-simplify]: Simplify 2.0 into 2.0 3.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.672 * [taylor]: Taking taylor expansion of PI in n 3.672 * [backup-simplify]: Simplify PI into PI 3.672 * [taylor]: Taking taylor expansion of n in n 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (/ PI 1) into PI 3.673 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.673 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.674 * [taylor]: Taking taylor expansion of 1.0 in n 3.674 * [backup-simplify]: Simplify 1.0 into 1.0 3.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.674 * [taylor]: Taking taylor expansion of k in n 3.674 * [backup-simplify]: Simplify k into k 3.674 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.678 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.678 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.679 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 3.680 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 3.680 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3.681 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 3.682 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.683 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 3.686 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 3.686 * [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)))) 3.686 * [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 3.686 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.686 * [taylor]: Taking taylor expansion of 1.0 in n 3.686 * [backup-simplify]: Simplify 1.0 into 1.0 3.686 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.686 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.686 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.686 * [taylor]: Taking taylor expansion of 0.5 in n 3.686 * [backup-simplify]: Simplify 0.5 into 0.5 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.687 * [taylor]: Taking taylor expansion of k in n 3.687 * [backup-simplify]: Simplify k into k 3.687 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.687 * [taylor]: Taking taylor expansion of 1.0 in n 3.687 * [backup-simplify]: Simplify 1.0 into 1.0 3.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.687 * [taylor]: Taking taylor expansion of -2.0 in n 3.687 * [backup-simplify]: Simplify -2.0 into -2.0 3.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.687 * [taylor]: Taking taylor expansion of PI in n 3.687 * [backup-simplify]: Simplify PI into PI 3.687 * [taylor]: Taking taylor expansion of n in n 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (/ PI 1) into PI 3.687 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.688 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.688 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.688 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.690 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.691 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.691 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.691 * [taylor]: Taking taylor expansion of -1 in n 3.691 * [backup-simplify]: Simplify -1 into -1 3.691 * [taylor]: Taking taylor expansion of k in n 3.691 * [backup-simplify]: Simplify k into k 3.691 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 3.691 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 3.691 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 3.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 3.692 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 3.692 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.692 * [taylor]: Taking taylor expansion of 1.0 in k 3.692 * [backup-simplify]: Simplify 1.0 into 1.0 3.692 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.692 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.692 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.692 * [taylor]: Taking taylor expansion of 0.5 in k 3.692 * [backup-simplify]: Simplify 0.5 into 0.5 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.692 * [taylor]: Taking taylor expansion of k in k 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [taylor]: Taking taylor expansion of 1.0 in k 3.692 * [backup-simplify]: Simplify 1.0 into 1.0 3.692 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.692 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.692 * [taylor]: Taking taylor expansion of -2.0 in k 3.692 * [backup-simplify]: Simplify -2.0 into -2.0 3.693 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.693 * [taylor]: Taking taylor expansion of PI in k 3.693 * [backup-simplify]: Simplify PI into PI 3.693 * [taylor]: Taking taylor expansion of n in k 3.693 * [backup-simplify]: Simplify n into n 3.693 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.693 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.693 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.693 * [backup-simplify]: Simplify (+ 1 0) into 1 3.693 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.693 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.694 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.694 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.694 * [taylor]: Taking taylor expansion of -1 in k 3.694 * [backup-simplify]: Simplify -1 into -1 3.694 * [taylor]: Taking taylor expansion of k in k 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (/ -1 1) into -1 3.694 * [backup-simplify]: Simplify (sqrt 0) into 0 3.695 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.695 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.695 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.695 * [taylor]: Taking taylor expansion of 1.0 in k 3.695 * [backup-simplify]: Simplify 1.0 into 1.0 3.695 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.695 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.695 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.696 * [taylor]: Taking taylor expansion of 0.5 in k 3.696 * [backup-simplify]: Simplify 0.5 into 0.5 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.696 * [taylor]: Taking taylor expansion of k in k 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of 1.0 in k 3.696 * [backup-simplify]: Simplify 1.0 into 1.0 3.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.696 * [taylor]: Taking taylor expansion of -2.0 in k 3.696 * [backup-simplify]: Simplify -2.0 into -2.0 3.696 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.696 * [taylor]: Taking taylor expansion of PI in k 3.696 * [backup-simplify]: Simplify PI into PI 3.696 * [taylor]: Taking taylor expansion of n in k 3.696 * [backup-simplify]: Simplify n into n 3.696 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.696 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.696 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.697 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.697 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 3.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.697 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.697 * [taylor]: Taking taylor expansion of -1 in k 3.697 * [backup-simplify]: Simplify -1 into -1 3.697 * [taylor]: Taking taylor expansion of k in k 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (/ -1 1) into -1 3.698 * [backup-simplify]: Simplify (sqrt 0) into 0 3.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.699 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.699 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 3.699 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.699 * [taylor]: Taking taylor expansion of +nan.0 in n 3.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.699 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.699 * [taylor]: Taking taylor expansion of 0.5 in n 3.699 * [backup-simplify]: Simplify 0.5 into 0.5 3.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.699 * [taylor]: Taking taylor expansion of k in n 3.699 * [backup-simplify]: Simplify k into k 3.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.699 * [taylor]: Taking taylor expansion of 1.0 in n 3.699 * [backup-simplify]: Simplify 1.0 into 1.0 3.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.699 * [taylor]: Taking taylor expansion of -2.0 in n 3.699 * [backup-simplify]: Simplify -2.0 into -2.0 3.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.699 * [taylor]: Taking taylor expansion of PI in n 3.699 * [backup-simplify]: Simplify PI into PI 3.699 * [taylor]: Taking taylor expansion of n in n 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (/ PI 1) into PI 3.700 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.701 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.701 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.702 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.703 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.704 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.705 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.706 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.709 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.710 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.710 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.710 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.710 * [taylor]: Taking taylor expansion of +nan.0 in n 3.710 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.710 * [taylor]: Taking taylor expansion of 0.5 in n 3.710 * [backup-simplify]: Simplify 0.5 into 0.5 3.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.710 * [taylor]: Taking taylor expansion of k in n 3.710 * [backup-simplify]: Simplify k into k 3.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.710 * [taylor]: Taking taylor expansion of 1.0 in n 3.710 * [backup-simplify]: Simplify 1.0 into 1.0 3.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.710 * [taylor]: Taking taylor expansion of -2.0 in n 3.710 * [backup-simplify]: Simplify -2.0 into -2.0 3.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.710 * [taylor]: Taking taylor expansion of PI in n 3.710 * [backup-simplify]: Simplify PI into PI 3.710 * [taylor]: Taking taylor expansion of n in n 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ PI 1) into PI 3.711 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.712 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.712 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.713 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.714 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.715 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.716 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.716 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.717 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.722 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 3.724 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.729 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.730 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 3.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.730 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.730 * [taylor]: Taking taylor expansion of +nan.0 in n 3.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.730 * [taylor]: Taking taylor expansion of 0.5 in n 3.730 * [backup-simplify]: Simplify 0.5 into 0.5 3.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.730 * [taylor]: Taking taylor expansion of k in n 3.730 * [backup-simplify]: Simplify k into k 3.730 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.730 * [taylor]: Taking taylor expansion of 1.0 in n 3.730 * [backup-simplify]: Simplify 1.0 into 1.0 3.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.730 * [taylor]: Taking taylor expansion of -2.0 in n 3.730 * [backup-simplify]: Simplify -2.0 into -2.0 3.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.730 * [taylor]: Taking taylor expansion of PI in n 3.730 * [backup-simplify]: Simplify PI into PI 3.730 * [taylor]: Taking taylor expansion of n in n 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (/ PI 1) into PI 3.731 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.732 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.732 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.734 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 3.734 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 3.735 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3.736 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 3.737 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.738 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 3.740 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +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))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.741 * * * [progress]: simplifying candidates 3.743 * [simplify]: Simplifying: (* (+ (+ (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)) (* (* 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) (- (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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log 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) (log (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) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (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 (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 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (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))) (* (* (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 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 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)) (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)))) (sqrt (* (/ 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))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ 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 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))) (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (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)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (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))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (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 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 k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (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 (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 (sqrt k)) (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) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (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 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +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 k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (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 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.474 * * * [progress]: adding candidates to table 6.127 * * [progress]: iteration 2 / 4 6.127 * * * [progress]: picking best candidate 6.154 * * * * [pick]: Picked # 6.154 * * * [progress]: localizing error 6.189 * * * [progress]: generating rewritten candidates 6.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.288 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.344 * * * [progress]: generating series expansions 6.344 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.345 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 6.345 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 6.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 6.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.345 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.345 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 6.345 * [taylor]: Taking taylor expansion of 0.25 in k 6.345 * [backup-simplify]: Simplify 0.25 into 0.25 6.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.345 * [taylor]: Taking taylor expansion of 1.0 in k 6.345 * [backup-simplify]: Simplify 1.0 into 1.0 6.345 * [taylor]: Taking taylor expansion of k in k 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.345 * [taylor]: Taking taylor expansion of 2.0 in k 6.345 * [backup-simplify]: Simplify 2.0 into 2.0 6.345 * [taylor]: Taking taylor expansion of (* n PI) in k 6.345 * [taylor]: Taking taylor expansion of n in k 6.345 * [backup-simplify]: Simplify n into n 6.345 * [taylor]: Taking taylor expansion of PI in k 6.345 * [backup-simplify]: Simplify PI into PI 6.345 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.345 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.345 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.346 * [backup-simplify]: Simplify (- 0) into 0 6.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.346 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 6.346 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 6.346 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 6.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.346 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.346 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.346 * [taylor]: Taking taylor expansion of 0.25 in n 6.346 * [backup-simplify]: Simplify 0.25 into 0.25 6.346 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.346 * [taylor]: Taking taylor expansion of 1.0 in n 6.346 * [backup-simplify]: Simplify 1.0 into 1.0 6.347 * [taylor]: Taking taylor expansion of k in n 6.347 * [backup-simplify]: Simplify k into k 6.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.347 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.347 * [taylor]: Taking taylor expansion of 2.0 in n 6.347 * [backup-simplify]: Simplify 2.0 into 2.0 6.347 * [taylor]: Taking taylor expansion of (* n PI) in n 6.347 * [taylor]: Taking taylor expansion of n in n 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 1 into 1 6.347 * [taylor]: Taking taylor expansion of PI in n 6.347 * [backup-simplify]: Simplify PI into PI 6.347 * [backup-simplify]: Simplify (* 0 PI) into 0 6.347 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.349 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.350 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.350 * [backup-simplify]: Simplify (- k) into (- k) 6.350 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.350 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 6.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.352 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.352 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.352 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.352 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.353 * [taylor]: Taking taylor expansion of 0.25 in n 6.353 * [backup-simplify]: Simplify 0.25 into 0.25 6.353 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.353 * [taylor]: Taking taylor expansion of 1.0 in n 6.353 * [backup-simplify]: Simplify 1.0 into 1.0 6.353 * [taylor]: Taking taylor expansion of k in n 6.353 * [backup-simplify]: Simplify k into k 6.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.353 * [taylor]: Taking taylor expansion of 2.0 in n 6.353 * [backup-simplify]: Simplify 2.0 into 2.0 6.353 * [taylor]: Taking taylor expansion of (* n PI) in n 6.353 * [taylor]: Taking taylor expansion of n in n 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [taylor]: Taking taylor expansion of PI in n 6.353 * [backup-simplify]: Simplify PI into PI 6.353 * [backup-simplify]: Simplify (* 0 PI) into 0 6.353 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.355 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.356 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.356 * [backup-simplify]: Simplify (- k) into (- k) 6.356 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.356 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 6.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.358 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.358 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.358 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.358 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.358 * [taylor]: Taking taylor expansion of 0.25 in k 6.358 * [backup-simplify]: Simplify 0.25 into 0.25 6.359 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.359 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.359 * [taylor]: Taking taylor expansion of 1.0 in k 6.359 * [backup-simplify]: Simplify 1.0 into 1.0 6.359 * [taylor]: Taking taylor expansion of k in k 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.359 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.359 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.359 * [taylor]: Taking taylor expansion of 2.0 in k 6.359 * [backup-simplify]: Simplify 2.0 into 2.0 6.359 * [taylor]: Taking taylor expansion of PI in k 6.359 * [backup-simplify]: Simplify PI into PI 6.359 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.360 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.360 * [taylor]: Taking taylor expansion of (log n) in k 6.360 * [taylor]: Taking taylor expansion of n in k 6.360 * [backup-simplify]: Simplify n into n 6.360 * [backup-simplify]: Simplify (log n) into (log n) 6.360 * [backup-simplify]: Simplify (- 0) into 0 6.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.361 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.362 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.363 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 6.363 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 6.364 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 6.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.365 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.367 * [backup-simplify]: Simplify (- 0) into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 6.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.370 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.372 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.373 * [taylor]: Taking taylor expansion of 0 in k 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.377 * [backup-simplify]: Simplify (- 1) into -1 6.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.379 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.381 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 6.385 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 6.388 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 6.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.394 * [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 6.394 * [backup-simplify]: Simplify (- 0) into 0 6.394 * [backup-simplify]: Simplify (+ 0 0) into 0 6.395 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.398 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.401 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.401 * [taylor]: Taking taylor expansion of 0 in k 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.406 * [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 6.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.408 * [backup-simplify]: Simplify (+ 0 0) into 0 6.408 * [backup-simplify]: Simplify (- 0) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.414 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.419 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 6.424 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 6.436 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 6.437 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 6.437 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 6.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 6.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.437 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.437 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 6.437 * [taylor]: Taking taylor expansion of 0.25 in k 6.437 * [backup-simplify]: Simplify 0.25 into 0.25 6.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.437 * [taylor]: Taking taylor expansion of 1.0 in k 6.437 * [backup-simplify]: Simplify 1.0 into 1.0 6.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.438 * [taylor]: Taking taylor expansion of k in k 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [backup-simplify]: Simplify (/ 1 1) into 1 6.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.438 * [taylor]: Taking taylor expansion of 2.0 in k 6.438 * [backup-simplify]: Simplify 2.0 into 2.0 6.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.438 * [taylor]: Taking taylor expansion of PI in k 6.438 * [backup-simplify]: Simplify PI into PI 6.438 * [taylor]: Taking taylor expansion of n in k 6.438 * [backup-simplify]: Simplify n into n 6.438 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.438 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.439 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.439 * [backup-simplify]: Simplify (- 1) into -1 6.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.440 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 6.440 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 6.440 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 6.440 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.440 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.440 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.441 * [taylor]: Taking taylor expansion of 0.25 in n 6.441 * [backup-simplify]: Simplify 0.25 into 0.25 6.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.441 * [taylor]: Taking taylor expansion of 1.0 in n 6.441 * [backup-simplify]: Simplify 1.0 into 1.0 6.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.441 * [taylor]: Taking taylor expansion of k in n 6.441 * [backup-simplify]: Simplify k into k 6.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.441 * [taylor]: Taking taylor expansion of 2.0 in n 6.441 * [backup-simplify]: Simplify 2.0 into 2.0 6.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.441 * [taylor]: Taking taylor expansion of PI in n 6.441 * [backup-simplify]: Simplify PI into PI 6.441 * [taylor]: Taking taylor expansion of n in n 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (/ PI 1) into PI 6.442 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.443 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.443 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.443 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.444 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 6.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.446 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.448 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.448 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.448 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.448 * [taylor]: Taking taylor expansion of 0.25 in n 6.448 * [backup-simplify]: Simplify 0.25 into 0.25 6.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.448 * [taylor]: Taking taylor expansion of 1.0 in n 6.448 * [backup-simplify]: Simplify 1.0 into 1.0 6.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.448 * [taylor]: Taking taylor expansion of k in n 6.448 * [backup-simplify]: Simplify k into k 6.448 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.448 * [taylor]: Taking taylor expansion of 2.0 in n 6.448 * [backup-simplify]: Simplify 2.0 into 2.0 6.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.448 * [taylor]: Taking taylor expansion of PI in n 6.448 * [backup-simplify]: Simplify PI into PI 6.448 * [taylor]: Taking taylor expansion of n in n 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.449 * [backup-simplify]: Simplify (/ PI 1) into PI 6.449 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.450 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.451 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.451 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.451 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 6.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.454 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.455 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.455 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.455 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.455 * [taylor]: Taking taylor expansion of 0.25 in k 6.455 * [backup-simplify]: Simplify 0.25 into 0.25 6.455 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.455 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.455 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.455 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.455 * [taylor]: Taking taylor expansion of 2.0 in k 6.455 * [backup-simplify]: Simplify 2.0 into 2.0 6.455 * [taylor]: Taking taylor expansion of PI in k 6.455 * [backup-simplify]: Simplify PI into PI 6.456 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.457 * [taylor]: Taking taylor expansion of (log n) in k 6.457 * [taylor]: Taking taylor expansion of n in k 6.457 * [backup-simplify]: Simplify n into n 6.457 * [backup-simplify]: Simplify (log n) into (log n) 6.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.457 * [taylor]: Taking taylor expansion of 1.0 in k 6.457 * [backup-simplify]: Simplify 1.0 into 1.0 6.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.457 * [taylor]: Taking taylor expansion of k in k 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.459 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.459 * [backup-simplify]: Simplify (- 1) into -1 6.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.461 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.470 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 6.472 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.473 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.478 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.482 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.484 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.484 * [taylor]: Taking taylor expansion of 0 in k 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.489 * [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 6.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.490 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.495 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.497 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.497 * [taylor]: Taking taylor expansion of 0 in k 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.506 * [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 6.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.512 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.515 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.515 * [taylor]: Taking taylor expansion of 0 in k 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 6.517 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 6.517 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 6.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 6.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.517 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.517 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 6.517 * [taylor]: Taking taylor expansion of 0.25 in k 6.517 * [backup-simplify]: Simplify 0.25 into 0.25 6.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.517 * [taylor]: Taking taylor expansion of k in k 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (/ 1 1) into 1 6.518 * [taylor]: Taking taylor expansion of 1.0 in k 6.518 * [backup-simplify]: Simplify 1.0 into 1.0 6.518 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.518 * [taylor]: Taking taylor expansion of -2.0 in k 6.518 * [backup-simplify]: Simplify -2.0 into -2.0 6.518 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.518 * [taylor]: Taking taylor expansion of PI in k 6.518 * [backup-simplify]: Simplify PI into PI 6.518 * [taylor]: Taking taylor expansion of n in k 6.518 * [backup-simplify]: Simplify n into n 6.518 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.518 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.519 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.519 * [backup-simplify]: Simplify (+ 1 0) into 1 6.519 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 6.520 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 6.520 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 6.520 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.520 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.520 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.520 * [taylor]: Taking taylor expansion of 0.25 in n 6.520 * [backup-simplify]: Simplify 0.25 into 0.25 6.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.520 * [taylor]: Taking taylor expansion of k in n 6.520 * [backup-simplify]: Simplify k into k 6.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.520 * [taylor]: Taking taylor expansion of 1.0 in n 6.520 * [backup-simplify]: Simplify 1.0 into 1.0 6.520 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.520 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.520 * [taylor]: Taking taylor expansion of -2.0 in n 6.520 * [backup-simplify]: Simplify -2.0 into -2.0 6.520 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.520 * [taylor]: Taking taylor expansion of PI in n 6.520 * [backup-simplify]: Simplify PI into PI 6.520 * [taylor]: Taking taylor expansion of n in n 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (/ PI 1) into PI 6.522 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.523 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.523 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.523 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 6.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.525 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.527 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.527 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.527 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.527 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.527 * [taylor]: Taking taylor expansion of 0.25 in n 6.527 * [backup-simplify]: Simplify 0.25 into 0.25 6.527 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.527 * [taylor]: Taking taylor expansion of k in n 6.527 * [backup-simplify]: Simplify k into k 6.527 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.527 * [taylor]: Taking taylor expansion of 1.0 in n 6.527 * [backup-simplify]: Simplify 1.0 into 1.0 6.527 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.527 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.527 * [taylor]: Taking taylor expansion of -2.0 in n 6.527 * [backup-simplify]: Simplify -2.0 into -2.0 6.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.527 * [taylor]: Taking taylor expansion of PI in n 6.527 * [backup-simplify]: Simplify PI into PI 6.527 * [taylor]: Taking taylor expansion of n in n 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (/ PI 1) into PI 6.528 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.529 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.530 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.530 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 6.531 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.532 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.534 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.534 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.534 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.534 * [taylor]: Taking taylor expansion of 0.25 in k 6.534 * [backup-simplify]: Simplify 0.25 into 0.25 6.534 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.534 * [taylor]: Taking taylor expansion of k in k 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.535 * [taylor]: Taking taylor expansion of 1.0 in k 6.535 * [backup-simplify]: Simplify 1.0 into 1.0 6.535 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.535 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.535 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.535 * [taylor]: Taking taylor expansion of -2.0 in k 6.535 * [backup-simplify]: Simplify -2.0 into -2.0 6.535 * [taylor]: Taking taylor expansion of PI in k 6.535 * [backup-simplify]: Simplify PI into PI 6.535 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.536 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.536 * [taylor]: Taking taylor expansion of (log n) in k 6.536 * [taylor]: Taking taylor expansion of n in k 6.536 * [backup-simplify]: Simplify n into n 6.536 * [backup-simplify]: Simplify (log n) into (log n) 6.537 * [backup-simplify]: Simplify (+ 1 0) into 1 6.537 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.538 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.539 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.540 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 6.540 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.541 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.546 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.547 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.547 * [taylor]: Taking taylor expansion of 0 in k 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.548 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.550 * [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 6.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.552 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.553 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.555 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.555 * [taylor]: Taking taylor expansion of 0 in k 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.560 * [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 6.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.560 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.564 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.565 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.566 * [taylor]: Taking taylor expansion of 0 in k 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 6.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.567 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 6.567 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 6.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 6.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.567 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.567 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 6.567 * [taylor]: Taking taylor expansion of 0.25 in k 6.567 * [backup-simplify]: Simplify 0.25 into 0.25 6.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.567 * [taylor]: Taking taylor expansion of 1.0 in k 6.567 * [backup-simplify]: Simplify 1.0 into 1.0 6.567 * [taylor]: Taking taylor expansion of k in k 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.567 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.567 * [taylor]: Taking taylor expansion of 2.0 in k 6.567 * [backup-simplify]: Simplify 2.0 into 2.0 6.567 * [taylor]: Taking taylor expansion of (* n PI) in k 6.567 * [taylor]: Taking taylor expansion of n in k 6.567 * [backup-simplify]: Simplify n into n 6.567 * [taylor]: Taking taylor expansion of PI in k 6.567 * [backup-simplify]: Simplify PI into PI 6.567 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.567 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.567 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.568 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 6.568 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 6.568 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 6.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.569 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.569 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.569 * [taylor]: Taking taylor expansion of 0.25 in n 6.569 * [backup-simplify]: Simplify 0.25 into 0.25 6.569 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.569 * [taylor]: Taking taylor expansion of 1.0 in n 6.569 * [backup-simplify]: Simplify 1.0 into 1.0 6.569 * [taylor]: Taking taylor expansion of k in n 6.569 * [backup-simplify]: Simplify k into k 6.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.569 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.569 * [taylor]: Taking taylor expansion of 2.0 in n 6.569 * [backup-simplify]: Simplify 2.0 into 2.0 6.569 * [taylor]: Taking taylor expansion of (* n PI) in n 6.569 * [taylor]: Taking taylor expansion of n in n 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [taylor]: Taking taylor expansion of PI in n 6.569 * [backup-simplify]: Simplify PI into PI 6.569 * [backup-simplify]: Simplify (* 0 PI) into 0 6.569 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.571 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.572 * [backup-simplify]: Simplify (- k) into (- k) 6.572 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.572 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 6.573 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.574 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.574 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.574 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.575 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.575 * [taylor]: Taking taylor expansion of 0.25 in n 6.575 * [backup-simplify]: Simplify 0.25 into 0.25 6.575 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.575 * [taylor]: Taking taylor expansion of 1.0 in n 6.575 * [backup-simplify]: Simplify 1.0 into 1.0 6.575 * [taylor]: Taking taylor expansion of k in n 6.575 * [backup-simplify]: Simplify k into k 6.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.575 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.575 * [taylor]: Taking taylor expansion of 2.0 in n 6.575 * [backup-simplify]: Simplify 2.0 into 2.0 6.575 * [taylor]: Taking taylor expansion of (* n PI) in n 6.575 * [taylor]: Taking taylor expansion of n in n 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [taylor]: Taking taylor expansion of PI in n 6.575 * [backup-simplify]: Simplify PI into PI 6.575 * [backup-simplify]: Simplify (* 0 PI) into 0 6.575 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.577 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.578 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.578 * [backup-simplify]: Simplify (- k) into (- k) 6.578 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.578 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 6.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.580 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.580 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.580 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.580 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.580 * [taylor]: Taking taylor expansion of 0.25 in k 6.580 * [backup-simplify]: Simplify 0.25 into 0.25 6.580 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.580 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.580 * [taylor]: Taking taylor expansion of 1.0 in k 6.580 * [backup-simplify]: Simplify 1.0 into 1.0 6.581 * [taylor]: Taking taylor expansion of k in k 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.581 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.581 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.581 * [taylor]: Taking taylor expansion of 2.0 in k 6.581 * [backup-simplify]: Simplify 2.0 into 2.0 6.581 * [taylor]: Taking taylor expansion of PI in k 6.581 * [backup-simplify]: Simplify PI into PI 6.581 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.582 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.582 * [taylor]: Taking taylor expansion of (log n) in k 6.582 * [taylor]: Taking taylor expansion of n in k 6.582 * [backup-simplify]: Simplify n into n 6.582 * [backup-simplify]: Simplify (log n) into (log n) 6.582 * [backup-simplify]: Simplify (- 0) into 0 6.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.583 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.584 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.584 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 6.585 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 6.586 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 6.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.588 * [backup-simplify]: Simplify (- 0) into 0 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 6.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.596 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.597 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.597 * [taylor]: Taking taylor expansion of 0 in k 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.599 * [backup-simplify]: Simplify (+ 0 0) into 0 6.600 * [backup-simplify]: Simplify (- 1) into -1 6.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.601 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.602 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 6.604 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 6.606 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 6.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.607 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.609 * [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 6.610 * [backup-simplify]: Simplify (- 0) into 0 6.610 * [backup-simplify]: Simplify (+ 0 0) into 0 6.610 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.612 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.614 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.614 * [taylor]: Taking taylor expansion of 0 in k 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.616 * [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 6.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (- 0) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.619 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.624 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 6.629 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 6.640 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 6.641 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 6.641 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 6.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 6.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.641 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.641 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 6.641 * [taylor]: Taking taylor expansion of 0.25 in k 6.641 * [backup-simplify]: Simplify 0.25 into 0.25 6.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.641 * [taylor]: Taking taylor expansion of 1.0 in k 6.641 * [backup-simplify]: Simplify 1.0 into 1.0 6.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.641 * [taylor]: Taking taylor expansion of k in k 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (/ 1 1) into 1 6.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.642 * [taylor]: Taking taylor expansion of 2.0 in k 6.642 * [backup-simplify]: Simplify 2.0 into 2.0 6.642 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.642 * [taylor]: Taking taylor expansion of PI in k 6.642 * [backup-simplify]: Simplify PI into PI 6.642 * [taylor]: Taking taylor expansion of n in k 6.642 * [backup-simplify]: Simplify n into n 6.642 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.642 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.642 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.643 * [backup-simplify]: Simplify (- 1) into -1 6.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.643 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 6.644 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 6.644 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 6.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.644 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.644 * [taylor]: Taking taylor expansion of 0.25 in n 6.644 * [backup-simplify]: Simplify 0.25 into 0.25 6.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.644 * [taylor]: Taking taylor expansion of 1.0 in n 6.644 * [backup-simplify]: Simplify 1.0 into 1.0 6.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.644 * [taylor]: Taking taylor expansion of k in n 6.644 * [backup-simplify]: Simplify k into k 6.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.644 * [taylor]: Taking taylor expansion of 2.0 in n 6.644 * [backup-simplify]: Simplify 2.0 into 2.0 6.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.644 * [taylor]: Taking taylor expansion of PI in n 6.645 * [backup-simplify]: Simplify PI into PI 6.645 * [taylor]: Taking taylor expansion of n in n 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.645 * [backup-simplify]: Simplify (/ PI 1) into PI 6.646 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.647 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.647 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.647 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.647 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 6.648 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.650 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.651 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.651 * [taylor]: Taking taylor expansion of 0.25 in n 6.651 * [backup-simplify]: Simplify 0.25 into 0.25 6.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.651 * [taylor]: Taking taylor expansion of 1.0 in n 6.651 * [backup-simplify]: Simplify 1.0 into 1.0 6.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.651 * [taylor]: Taking taylor expansion of k in n 6.651 * [backup-simplify]: Simplify k into k 6.651 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.651 * [taylor]: Taking taylor expansion of 2.0 in n 6.651 * [backup-simplify]: Simplify 2.0 into 2.0 6.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.652 * [taylor]: Taking taylor expansion of PI in n 6.652 * [backup-simplify]: Simplify PI into PI 6.652 * [taylor]: Taking taylor expansion of n in n 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [backup-simplify]: Simplify (/ PI 1) into PI 6.653 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.654 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.654 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.654 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.654 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 6.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.657 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 6.658 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.658 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.658 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.658 * [taylor]: Taking taylor expansion of 0.25 in k 6.658 * [backup-simplify]: Simplify 0.25 into 0.25 6.658 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.658 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.658 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.658 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.658 * [taylor]: Taking taylor expansion of 2.0 in k 6.658 * [backup-simplify]: Simplify 2.0 into 2.0 6.658 * [taylor]: Taking taylor expansion of PI in k 6.658 * [backup-simplify]: Simplify PI into PI 6.659 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.660 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.660 * [taylor]: Taking taylor expansion of (log n) in k 6.660 * [taylor]: Taking taylor expansion of n in k 6.660 * [backup-simplify]: Simplify n into n 6.660 * [backup-simplify]: Simplify (log n) into (log n) 6.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.660 * [taylor]: Taking taylor expansion of 1.0 in k 6.660 * [backup-simplify]: Simplify 1.0 into 1.0 6.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.660 * [taylor]: Taking taylor expansion of k in k 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.661 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.662 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.663 * [backup-simplify]: Simplify (- 1) into -1 6.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.664 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.665 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 6.666 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.668 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 6.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.672 * [backup-simplify]: Simplify (- 0) into 0 6.672 * [backup-simplify]: Simplify (+ 0 0) into 0 6.673 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.676 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.678 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.678 * [taylor]: Taking taylor expansion of 0 in k 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.683 * [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 6.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.684 * [backup-simplify]: Simplify (- 0) into 0 6.685 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.688 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.691 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.691 * [taylor]: Taking taylor expansion of 0 in k 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.699 * [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 6.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.700 * [backup-simplify]: Simplify (- 0) into 0 6.700 * [backup-simplify]: Simplify (+ 0 0) into 0 6.702 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.705 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.708 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.708 * [taylor]: Taking taylor expansion of 0 in k 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 6.710 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 6.710 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 6.710 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 6.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.710 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.710 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 6.710 * [taylor]: Taking taylor expansion of 0.25 in k 6.710 * [backup-simplify]: Simplify 0.25 into 0.25 6.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.710 * [taylor]: Taking taylor expansion of k in k 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.711 * [backup-simplify]: Simplify (/ 1 1) into 1 6.711 * [taylor]: Taking taylor expansion of 1.0 in k 6.711 * [backup-simplify]: Simplify 1.0 into 1.0 6.711 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.711 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.711 * [taylor]: Taking taylor expansion of -2.0 in k 6.711 * [backup-simplify]: Simplify -2.0 into -2.0 6.711 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.711 * [taylor]: Taking taylor expansion of PI in k 6.711 * [backup-simplify]: Simplify PI into PI 6.711 * [taylor]: Taking taylor expansion of n in k 6.711 * [backup-simplify]: Simplify n into n 6.711 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.711 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.711 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.712 * [backup-simplify]: Simplify (+ 1 0) into 1 6.712 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 6.713 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 6.713 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 6.713 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.713 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.713 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.713 * [taylor]: Taking taylor expansion of 0.25 in n 6.713 * [backup-simplify]: Simplify 0.25 into 0.25 6.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.713 * [taylor]: Taking taylor expansion of k in n 6.713 * [backup-simplify]: Simplify k into k 6.713 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.713 * [taylor]: Taking taylor expansion of 1.0 in n 6.713 * [backup-simplify]: Simplify 1.0 into 1.0 6.713 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.713 * [taylor]: Taking taylor expansion of -2.0 in n 6.713 * [backup-simplify]: Simplify -2.0 into -2.0 6.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.714 * [taylor]: Taking taylor expansion of PI in n 6.714 * [backup-simplify]: Simplify PI into PI 6.714 * [taylor]: Taking taylor expansion of n in n 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ PI 1) into PI 6.715 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.716 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.716 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.716 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 6.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.719 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.720 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.720 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.720 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.720 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.720 * [taylor]: Taking taylor expansion of 0.25 in n 6.720 * [backup-simplify]: Simplify 0.25 into 0.25 6.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.720 * [taylor]: Taking taylor expansion of k in n 6.720 * [backup-simplify]: Simplify k into k 6.720 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.720 * [taylor]: Taking taylor expansion of 1.0 in n 6.720 * [backup-simplify]: Simplify 1.0 into 1.0 6.720 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.721 * [taylor]: Taking taylor expansion of -2.0 in n 6.721 * [backup-simplify]: Simplify -2.0 into -2.0 6.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.721 * [taylor]: Taking taylor expansion of PI in n 6.721 * [backup-simplify]: Simplify PI into PI 6.721 * [taylor]: Taking taylor expansion of n in n 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (/ PI 1) into PI 6.722 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.731 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.731 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.732 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 6.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.735 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 6.736 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.736 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.736 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.736 * [taylor]: Taking taylor expansion of 0.25 in k 6.736 * [backup-simplify]: Simplify 0.25 into 0.25 6.736 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.737 * [taylor]: Taking taylor expansion of k in k 6.737 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify 1 into 1 6.737 * [backup-simplify]: Simplify (/ 1 1) into 1 6.737 * [taylor]: Taking taylor expansion of 1.0 in k 6.737 * [backup-simplify]: Simplify 1.0 into 1.0 6.737 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.737 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.737 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.737 * [taylor]: Taking taylor expansion of -2.0 in k 6.737 * [backup-simplify]: Simplify -2.0 into -2.0 6.737 * [taylor]: Taking taylor expansion of PI in k 6.737 * [backup-simplify]: Simplify PI into PI 6.738 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.739 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.739 * [taylor]: Taking taylor expansion of (log n) in k 6.739 * [taylor]: Taking taylor expansion of n in k 6.739 * [backup-simplify]: Simplify n into n 6.739 * [backup-simplify]: Simplify (log n) into (log n) 6.739 * [backup-simplify]: Simplify (+ 1 0) into 1 6.739 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.740 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.741 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 6.741 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 6.742 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.743 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 6.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.744 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.746 * [backup-simplify]: Simplify (+ 0 0) into 0 6.746 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.748 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.749 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.749 * [taylor]: Taking taylor expansion of 0 in k 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.750 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.752 * [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 6.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.753 * [backup-simplify]: Simplify (+ 0 0) into 0 6.753 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.755 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.756 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.756 * [taylor]: Taking taylor expansion of 0 in k 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.758 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.761 * [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 6.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.765 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.766 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.766 * [taylor]: Taking taylor expansion of 0 in k 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 6.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.767 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.767 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.767 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.768 * [taylor]: Taking taylor expansion of 1.0 in k 6.768 * [backup-simplify]: Simplify 1.0 into 1.0 6.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.768 * [taylor]: Taking taylor expansion of k in k 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (/ 1 1) into 1 6.768 * [backup-simplify]: Simplify (sqrt 0) into 0 6.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.769 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.769 * [taylor]: Taking taylor expansion of 1.0 in k 6.769 * [backup-simplify]: Simplify 1.0 into 1.0 6.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.769 * [taylor]: Taking taylor expansion of k in k 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [backup-simplify]: Simplify (sqrt 0) into 0 6.771 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.771 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.771 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.773 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.779 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.779 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.786 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.787 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.789 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 6.789 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.789 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.789 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.789 * [taylor]: Taking taylor expansion of 1.0 in k 6.789 * [backup-simplify]: Simplify 1.0 into 1.0 6.789 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.789 * [taylor]: Taking taylor expansion of k in k 6.790 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify 1 into 1 6.790 * [backup-simplify]: Simplify (sqrt 0) into 0 6.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.791 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.791 * [taylor]: Taking taylor expansion of 1.0 in k 6.791 * [backup-simplify]: Simplify 1.0 into 1.0 6.791 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.792 * [taylor]: Taking taylor expansion of k in k 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (sqrt 0) into 0 6.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.794 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.794 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.795 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.798 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.799 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.802 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.803 * [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)))))))) 6.804 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.804 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.804 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.804 * [taylor]: Taking taylor expansion of 1.0 in k 6.804 * [backup-simplify]: Simplify 1.0 into 1.0 6.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.804 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.804 * [taylor]: Taking taylor expansion of -1 in k 6.804 * [backup-simplify]: Simplify -1 into -1 6.804 * [taylor]: Taking taylor expansion of k in k 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (/ -1 1) into -1 6.804 * [backup-simplify]: Simplify (sqrt 0) into 0 6.805 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.805 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.805 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.805 * [taylor]: Taking taylor expansion of 1.0 in k 6.805 * [backup-simplify]: Simplify 1.0 into 1.0 6.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.805 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.805 * [taylor]: Taking taylor expansion of -1 in k 6.805 * [backup-simplify]: Simplify -1 into -1 6.805 * [taylor]: Taking taylor expansion of k in k 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (/ -1 1) into -1 6.806 * [backup-simplify]: Simplify (sqrt 0) into 0 6.807 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.807 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.811 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.811 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.817 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.817 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.818 * [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))))) 6.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.819 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.819 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.819 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.819 * [taylor]: Taking taylor expansion of 2.0 in n 6.819 * [backup-simplify]: Simplify 2.0 into 2.0 6.819 * [taylor]: Taking taylor expansion of (* n PI) in n 6.819 * [taylor]: Taking taylor expansion of n in n 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [taylor]: Taking taylor expansion of PI in n 6.819 * [backup-simplify]: Simplify PI into PI 6.819 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.819 * [taylor]: Taking taylor expansion of 2.0 in n 6.819 * [backup-simplify]: Simplify 2.0 into 2.0 6.819 * [taylor]: Taking taylor expansion of (* n PI) in n 6.819 * [taylor]: Taking taylor expansion of n in n 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [taylor]: Taking taylor expansion of PI in n 6.819 * [backup-simplify]: Simplify PI into PI 6.819 * [backup-simplify]: Simplify (* 0 PI) into 0 6.819 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.821 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.822 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.823 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.823 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.826 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.826 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.828 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.828 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.844 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.845 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 6.845 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.846 * [taylor]: Taking taylor expansion of 2.0 in n 6.846 * [backup-simplify]: Simplify 2.0 into 2.0 6.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.846 * [taylor]: Taking taylor expansion of PI in n 6.846 * [backup-simplify]: Simplify PI into PI 6.846 * [taylor]: Taking taylor expansion of n in n 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (/ PI 1) into PI 6.847 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.847 * [taylor]: Taking taylor expansion of 2.0 in n 6.847 * [backup-simplify]: Simplify 2.0 into 2.0 6.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.847 * [taylor]: Taking taylor expansion of PI in n 6.847 * [backup-simplify]: Simplify PI into PI 6.847 * [taylor]: Taking taylor expansion of n in n 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (/ PI 1) into PI 6.848 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.848 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.852 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [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 6.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 6.863 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 6.863 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.863 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.863 * [taylor]: Taking taylor expansion of -2.0 in n 6.863 * [backup-simplify]: Simplify -2.0 into -2.0 6.863 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.863 * [taylor]: Taking taylor expansion of PI in n 6.863 * [backup-simplify]: Simplify PI into PI 6.863 * [taylor]: Taking taylor expansion of n in n 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ PI 1) into PI 6.864 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.864 * [taylor]: Taking taylor expansion of -2.0 in n 6.864 * [backup-simplify]: Simplify -2.0 into -2.0 6.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.864 * [taylor]: Taking taylor expansion of PI in n 6.864 * [backup-simplify]: Simplify PI into PI 6.864 * [taylor]: Taking taylor expansion of n in n 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ PI 1) into PI 6.865 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.865 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.868 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.868 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.872 * [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 6.873 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 6.874 * * * [progress]: simplifying candidates 6.877 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (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) (* (* 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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.301 * * * [progress]: adding candidates to table 9.457 * * [progress]: iteration 3 / 4 9.457 * * * [progress]: picking best candidate 9.503 * * * * [pick]: Picked # 9.503 * * * [progress]: localizing error 9.550 * * * [progress]: generating rewritten candidates 9.550 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.662 * * * [progress]: generating series expansions 9.662 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.662 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 9.662 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 9.662 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 9.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 9.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 9.662 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.662 * [taylor]: Taking taylor expansion of 0.5 in k 9.662 * [backup-simplify]: Simplify 0.5 into 0.5 9.662 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.662 * [taylor]: Taking taylor expansion of 1.0 in k 9.663 * [backup-simplify]: Simplify 1.0 into 1.0 9.663 * [taylor]: Taking taylor expansion of k in k 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of (log n) in k 9.663 * [taylor]: Taking taylor expansion of n in k 9.663 * [backup-simplify]: Simplify n into n 9.663 * [backup-simplify]: Simplify (log n) into (log n) 9.664 * [backup-simplify]: Simplify (- 0) into 0 9.664 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.665 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.665 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 9.665 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.665 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.665 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.665 * [taylor]: Taking taylor expansion of 0.5 in n 9.665 * [backup-simplify]: Simplify 0.5 into 0.5 9.665 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.665 * [taylor]: Taking taylor expansion of 1.0 in n 9.665 * [backup-simplify]: Simplify 1.0 into 1.0 9.665 * [taylor]: Taking taylor expansion of k in n 9.665 * [backup-simplify]: Simplify k into k 9.665 * [taylor]: Taking taylor expansion of (log n) in n 9.665 * [taylor]: Taking taylor expansion of n in n 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (log 1) into 0 9.666 * [backup-simplify]: Simplify (- k) into (- k) 9.666 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.666 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.666 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.666 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.667 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.667 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 9.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 9.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 9.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.667 * [taylor]: Taking taylor expansion of 0.5 in n 9.667 * [backup-simplify]: Simplify 0.5 into 0.5 9.667 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.667 * [taylor]: Taking taylor expansion of 1.0 in n 9.667 * [backup-simplify]: Simplify 1.0 into 1.0 9.667 * [taylor]: Taking taylor expansion of k in n 9.667 * [backup-simplify]: Simplify k into k 9.667 * [taylor]: Taking taylor expansion of (log n) in n 9.667 * [taylor]: Taking taylor expansion of n in n 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 1 into 1 9.667 * [backup-simplify]: Simplify (log 1) into 0 9.667 * [backup-simplify]: Simplify (- k) into (- k) 9.667 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 9.667 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 9.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.668 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 9.668 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 9.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 9.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 9.668 * [taylor]: Taking taylor expansion of 0.5 in k 9.668 * [backup-simplify]: Simplify 0.5 into 0.5 9.668 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 9.668 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.668 * [taylor]: Taking taylor expansion of 1.0 in k 9.668 * [backup-simplify]: Simplify 1.0 into 1.0 9.668 * [taylor]: Taking taylor expansion of k in k 9.668 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify 1 into 1 9.668 * [taylor]: Taking taylor expansion of (log n) in k 9.668 * [taylor]: Taking taylor expansion of n in k 9.668 * [backup-simplify]: Simplify n into n 9.668 * [backup-simplify]: Simplify (log n) into (log n) 9.668 * [backup-simplify]: Simplify (- 0) into 0 9.669 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.669 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 9.669 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 9.669 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 9.669 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 9.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.670 * [backup-simplify]: Simplify (- 0) into 0 9.670 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 9.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.671 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 9.672 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.672 * [taylor]: Taking taylor expansion of 0 in k 9.672 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.673 * [backup-simplify]: Simplify (- 1) into -1 9.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.673 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 9.674 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 9.674 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 9.674 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 9.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.676 * [backup-simplify]: Simplify (- 0) into 0 9.676 * [backup-simplify]: Simplify (+ 0 0) into 0 9.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.677 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 9.677 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 9.679 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.679 * [taylor]: Taking taylor expansion of 0 in k 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 0 into 0 9.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.680 * [backup-simplify]: Simplify (- 0) into 0 9.680 * [backup-simplify]: Simplify (+ 0 0) into 0 9.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 9.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 9.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 9.682 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 9.683 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 9.683 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 9.683 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.683 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 9.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 9.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.683 * [taylor]: Taking taylor expansion of 0.5 in k 9.683 * [backup-simplify]: Simplify 0.5 into 0.5 9.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.683 * [taylor]: Taking taylor expansion of 1.0 in k 9.683 * [backup-simplify]: Simplify 1.0 into 1.0 9.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.683 * [taylor]: Taking taylor expansion of k in k 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 1 into 1 9.684 * [backup-simplify]: Simplify (/ 1 1) into 1 9.684 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 9.684 * [taylor]: Taking taylor expansion of (/ 1 n) in k 9.684 * [taylor]: Taking taylor expansion of n in k 9.684 * [backup-simplify]: Simplify n into n 9.684 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.684 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 9.684 * [backup-simplify]: Simplify (- 1) into -1 9.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.685 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.685 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 9.685 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 9.685 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.685 * [taylor]: Taking taylor expansion of 0.5 in n 9.685 * [backup-simplify]: Simplify 0.5 into 0.5 9.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.685 * [taylor]: Taking taylor expansion of 1.0 in n 9.685 * [backup-simplify]: Simplify 1.0 into 1.0 9.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.685 * [taylor]: Taking taylor expansion of k in n 9.685 * [backup-simplify]: Simplify k into k 9.685 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.685 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.685 * [taylor]: Taking taylor expansion of n in n 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (/ 1 1) into 1 9.686 * [backup-simplify]: Simplify (log 1) into 0 9.686 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.686 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.686 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.686 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.687 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.687 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 9.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 9.687 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.687 * [taylor]: Taking taylor expansion of 0.5 in n 9.687 * [backup-simplify]: Simplify 0.5 into 0.5 9.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.687 * [taylor]: Taking taylor expansion of 1.0 in n 9.687 * [backup-simplify]: Simplify 1.0 into 1.0 9.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.687 * [taylor]: Taking taylor expansion of k in n 9.687 * [backup-simplify]: Simplify k into k 9.687 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.687 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 9.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.687 * [taylor]: Taking taylor expansion of n in n 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 1 into 1 9.687 * [backup-simplify]: Simplify (/ 1 1) into 1 9.687 * [backup-simplify]: Simplify (log 1) into 0 9.687 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.687 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.688 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.688 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 9.688 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.688 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 9.688 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 9.688 * [taylor]: Taking taylor expansion of -0.5 in k 9.688 * [backup-simplify]: Simplify -0.5 into -0.5 9.688 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 9.688 * [taylor]: Taking taylor expansion of (log n) in k 9.688 * [taylor]: Taking taylor expansion of n in k 9.688 * [backup-simplify]: Simplify n into n 9.688 * [backup-simplify]: Simplify (log n) into (log n) 9.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.688 * [taylor]: Taking taylor expansion of 1.0 in k 9.688 * [backup-simplify]: Simplify 1.0 into 1.0 9.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.688 * [taylor]: Taking taylor expansion of k in k 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 1 into 1 9.689 * [backup-simplify]: Simplify (/ 1 1) into 1 9.689 * [backup-simplify]: Simplify (- 1) into -1 9.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.689 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 9.689 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 9.690 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.690 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 9.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.691 * [backup-simplify]: Simplify (- 0) into 0 9.692 * [backup-simplify]: Simplify (+ 0 0) into 0 9.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.692 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 9.693 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.693 * [taylor]: Taking taylor expansion of 0 in k 9.693 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.697 * [backup-simplify]: Simplify (- 0) into 0 9.698 * [backup-simplify]: Simplify (+ 0 0) into 0 9.699 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.700 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 9.701 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.701 * [taylor]: Taking taylor expansion of 0 in k 9.701 * [backup-simplify]: Simplify 0 into 0 9.701 * [backup-simplify]: Simplify 0 into 0 9.701 * [backup-simplify]: Simplify 0 into 0 9.701 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.708 * [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 9.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.709 * [backup-simplify]: Simplify (- 0) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 9.712 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 9.714 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.714 * [taylor]: Taking taylor expansion of 0 in k 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 9.715 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 9.715 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.715 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 9.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 9.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.715 * [taylor]: Taking taylor expansion of 0.5 in k 9.715 * [backup-simplify]: Simplify 0.5 into 0.5 9.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.715 * [taylor]: Taking taylor expansion of k in k 9.715 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (/ 1 1) into 1 9.716 * [taylor]: Taking taylor expansion of 1.0 in k 9.716 * [backup-simplify]: Simplify 1.0 into 1.0 9.716 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 9.716 * [taylor]: Taking taylor expansion of (/ -1 n) in k 9.716 * [taylor]: Taking taylor expansion of -1 in k 9.716 * [backup-simplify]: Simplify -1 into -1 9.716 * [taylor]: Taking taylor expansion of n in k 9.716 * [backup-simplify]: Simplify n into n 9.716 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 9.716 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 9.717 * [backup-simplify]: Simplify (+ 1 0) into 1 9.717 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.717 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 9.718 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 9.718 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.718 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.718 * [taylor]: Taking taylor expansion of 0.5 in n 9.718 * [backup-simplify]: Simplify 0.5 into 0.5 9.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.718 * [taylor]: Taking taylor expansion of k in n 9.718 * [backup-simplify]: Simplify k into k 9.718 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.718 * [taylor]: Taking taylor expansion of 1.0 in n 9.718 * [backup-simplify]: Simplify 1.0 into 1.0 9.718 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.718 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.718 * [taylor]: Taking taylor expansion of -1 in n 9.718 * [backup-simplify]: Simplify -1 into -1 9.718 * [taylor]: Taking taylor expansion of n in n 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (/ -1 1) into -1 9.719 * [backup-simplify]: Simplify (log -1) into (log -1) 9.719 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.719 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.721 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.721 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.722 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 9.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 9.722 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.722 * [taylor]: Taking taylor expansion of 0.5 in n 9.722 * [backup-simplify]: Simplify 0.5 into 0.5 9.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.722 * [taylor]: Taking taylor expansion of k in n 9.722 * [backup-simplify]: Simplify k into k 9.722 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.722 * [taylor]: Taking taylor expansion of 1.0 in n 9.722 * [backup-simplify]: Simplify 1.0 into 1.0 9.722 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 9.722 * [taylor]: Taking taylor expansion of (/ -1 n) in n 9.722 * [taylor]: Taking taylor expansion of -1 in n 9.722 * [backup-simplify]: Simplify -1 into -1 9.722 * [taylor]: Taking taylor expansion of n in n 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 1 into 1 9.723 * [backup-simplify]: Simplify (/ -1 1) into -1 9.723 * [backup-simplify]: Simplify (log -1) into (log -1) 9.723 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.723 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.725 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 9.725 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.726 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 9.726 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 9.726 * [taylor]: Taking taylor expansion of 0.5 in k 9.726 * [backup-simplify]: Simplify 0.5 into 0.5 9.726 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 9.726 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 9.726 * [taylor]: Taking taylor expansion of (log -1) in k 9.726 * [taylor]: Taking taylor expansion of -1 in k 9.726 * [backup-simplify]: Simplify -1 into -1 9.726 * [backup-simplify]: Simplify (log -1) into (log -1) 9.726 * [taylor]: Taking taylor expansion of (log n) in k 9.726 * [taylor]: Taking taylor expansion of n in k 9.726 * [backup-simplify]: Simplify n into n 9.726 * [backup-simplify]: Simplify (log n) into (log n) 9.726 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.727 * [taylor]: Taking taylor expansion of k in k 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.727 * [backup-simplify]: Simplify (/ 1 1) into 1 9.727 * [taylor]: Taking taylor expansion of 1.0 in k 9.727 * [backup-simplify]: Simplify 1.0 into 1.0 9.727 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.728 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 9.728 * [backup-simplify]: Simplify (+ 1 0) into 1 9.729 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 9.729 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 9.730 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.730 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 9.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.733 * [backup-simplify]: Simplify (+ 0 0) into 0 9.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.735 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 9.737 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.737 * [taylor]: Taking taylor expansion of 0 in k 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.742 * [backup-simplify]: Simplify (+ 0 0) into 0 9.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 9.747 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.747 * [taylor]: Taking taylor expansion of 0 in k 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.754 * [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 9.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.755 * [backup-simplify]: Simplify (+ 0 0) into 0 9.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 9.759 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 9.761 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.761 * [taylor]: Taking taylor expansion of 0 in k 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 9.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.763 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 9.763 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 9.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.763 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.763 * [taylor]: Taking taylor expansion of 0.5 in k 9.763 * [backup-simplify]: Simplify 0.5 into 0.5 9.763 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.763 * [taylor]: Taking taylor expansion of 1.0 in k 9.763 * [backup-simplify]: Simplify 1.0 into 1.0 9.763 * [taylor]: Taking taylor expansion of k in k 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.763 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.763 * [taylor]: Taking taylor expansion of 2.0 in k 9.763 * [backup-simplify]: Simplify 2.0 into 2.0 9.763 * [taylor]: Taking taylor expansion of PI in k 9.764 * [backup-simplify]: Simplify PI into PI 9.764 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.765 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.766 * [backup-simplify]: Simplify (- 0) into 0 9.766 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.767 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.769 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.771 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.771 * [taylor]: Taking taylor expansion of 0.5 in k 9.771 * [backup-simplify]: Simplify 0.5 into 0.5 9.771 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.772 * [taylor]: Taking taylor expansion of 1.0 in k 9.772 * [backup-simplify]: Simplify 1.0 into 1.0 9.772 * [taylor]: Taking taylor expansion of k in k 9.772 * [backup-simplify]: Simplify 0 into 0 9.772 * [backup-simplify]: Simplify 1 into 1 9.772 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.772 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.772 * [taylor]: Taking taylor expansion of 2.0 in k 9.772 * [backup-simplify]: Simplify 2.0 into 2.0 9.772 * [taylor]: Taking taylor expansion of PI in k 9.772 * [backup-simplify]: Simplify PI into PI 9.772 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.773 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.774 * [backup-simplify]: Simplify (- 0) into 0 9.774 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.774 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.776 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.779 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.780 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 9.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.783 * [backup-simplify]: Simplify (- 1) into -1 9.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.785 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.789 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.810 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.816 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.817 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.819 * [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 9.819 * [backup-simplify]: Simplify (- 0) into 0 9.820 * [backup-simplify]: Simplify (+ 0 0) into 0 9.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.821 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 9.830 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.835 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.847 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 9.847 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 9.847 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 9.848 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.848 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.848 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.848 * [taylor]: Taking taylor expansion of 0.5 in k 9.848 * [backup-simplify]: Simplify 0.5 into 0.5 9.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.848 * [taylor]: Taking taylor expansion of 1.0 in k 9.848 * [backup-simplify]: Simplify 1.0 into 1.0 9.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.848 * [taylor]: Taking taylor expansion of k in k 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 1 into 1 9.848 * [backup-simplify]: Simplify (/ 1 1) into 1 9.848 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.848 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.848 * [taylor]: Taking taylor expansion of 2.0 in k 9.848 * [backup-simplify]: Simplify 2.0 into 2.0 9.848 * [taylor]: Taking taylor expansion of PI in k 9.848 * [backup-simplify]: Simplify PI into PI 9.849 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.850 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.850 * [backup-simplify]: Simplify (- 1) into -1 9.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.851 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.853 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.854 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 9.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 9.854 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.854 * [taylor]: Taking taylor expansion of 0.5 in k 9.854 * [backup-simplify]: Simplify 0.5 into 0.5 9.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.854 * [taylor]: Taking taylor expansion of 1.0 in k 9.854 * [backup-simplify]: Simplify 1.0 into 1.0 9.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.854 * [taylor]: Taking taylor expansion of k in k 9.854 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify 1 into 1 9.855 * [backup-simplify]: Simplify (/ 1 1) into 1 9.855 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.855 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.855 * [taylor]: Taking taylor expansion of 2.0 in k 9.855 * [backup-simplify]: Simplify 2.0 into 2.0 9.855 * [taylor]: Taking taylor expansion of PI in k 9.855 * [backup-simplify]: Simplify PI into PI 9.856 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.857 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.857 * [backup-simplify]: Simplify (- 1) into -1 9.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.858 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.860 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 9.861 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.862 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 9.864 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 9.864 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 9.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.865 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.865 * [taylor]: Taking taylor expansion of 0.5 in k 9.865 * [backup-simplify]: Simplify 0.5 into 0.5 9.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.865 * [taylor]: Taking taylor expansion of k in k 9.865 * [backup-simplify]: Simplify 0 into 0 9.865 * [backup-simplify]: Simplify 1 into 1 9.865 * [backup-simplify]: Simplify (/ 1 1) into 1 9.865 * [taylor]: Taking taylor expansion of 1.0 in k 9.865 * [backup-simplify]: Simplify 1.0 into 1.0 9.865 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.865 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.865 * [taylor]: Taking taylor expansion of 2.0 in k 9.865 * [backup-simplify]: Simplify 2.0 into 2.0 9.865 * [taylor]: Taking taylor expansion of PI in k 9.866 * [backup-simplify]: Simplify PI into PI 9.866 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.867 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.868 * [backup-simplify]: Simplify (+ 1 0) into 1 9.868 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.870 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.871 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 9.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 9.871 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.872 * [taylor]: Taking taylor expansion of 0.5 in k 9.872 * [backup-simplify]: Simplify 0.5 into 0.5 9.872 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.872 * [taylor]: Taking taylor expansion of k in k 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [backup-simplify]: Simplify (/ 1 1) into 1 9.872 * [taylor]: Taking taylor expansion of 1.0 in k 9.872 * [backup-simplify]: Simplify 1.0 into 1.0 9.872 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.872 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.872 * [taylor]: Taking taylor expansion of 2.0 in k 9.872 * [backup-simplify]: Simplify 2.0 into 2.0 9.872 * [taylor]: Taking taylor expansion of PI in k 9.872 * [backup-simplify]: Simplify PI into PI 9.873 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.874 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.874 * [backup-simplify]: Simplify (+ 1 0) into 1 9.875 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.877 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.878 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.879 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 9.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.881 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.881 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.881 * [taylor]: Taking taylor expansion of 1.0 in k 9.881 * [backup-simplify]: Simplify 1.0 into 1.0 9.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.881 * [taylor]: Taking taylor expansion of k in k 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.882 * [backup-simplify]: Simplify (sqrt 0) into 0 9.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.883 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.883 * [taylor]: Taking taylor expansion of 1.0 in k 9.883 * [backup-simplify]: Simplify 1.0 into 1.0 9.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.883 * [taylor]: Taking taylor expansion of k in k 9.884 * [backup-simplify]: Simplify 0 into 0 9.884 * [backup-simplify]: Simplify 1 into 1 9.884 * [backup-simplify]: Simplify (/ 1 1) into 1 9.884 * [backup-simplify]: Simplify (sqrt 0) into 0 9.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.886 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.886 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.887 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.891 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.891 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.895 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.896 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.897 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 9.897 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.897 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.897 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.897 * [taylor]: Taking taylor expansion of 1.0 in k 9.897 * [backup-simplify]: Simplify 1.0 into 1.0 9.897 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.897 * [taylor]: Taking taylor expansion of k in k 9.897 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (sqrt 0) into 0 9.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.898 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.898 * [taylor]: Taking taylor expansion of 1.0 in k 9.898 * [backup-simplify]: Simplify 1.0 into 1.0 9.898 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.898 * [taylor]: Taking taylor expansion of k in k 9.898 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify 1 into 1 9.898 * [backup-simplify]: Simplify (sqrt 0) into 0 9.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.900 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.901 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.903 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.904 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.908 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.909 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.910 * [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)))))))) 9.910 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.910 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.910 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.910 * [taylor]: Taking taylor expansion of 1.0 in k 9.910 * [backup-simplify]: Simplify 1.0 into 1.0 9.910 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.910 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.910 * [taylor]: Taking taylor expansion of -1 in k 9.910 * [backup-simplify]: Simplify -1 into -1 9.910 * [taylor]: Taking taylor expansion of k in k 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (/ -1 1) into -1 9.911 * [backup-simplify]: Simplify (sqrt 0) into 0 9.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.912 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.912 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.912 * [taylor]: Taking taylor expansion of 1.0 in k 9.912 * [backup-simplify]: Simplify 1.0 into 1.0 9.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.912 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.912 * [taylor]: Taking taylor expansion of -1 in k 9.912 * [backup-simplify]: Simplify -1 into -1 9.912 * [taylor]: Taking taylor expansion of k in k 9.912 * [backup-simplify]: Simplify 0 into 0 9.912 * [backup-simplify]: Simplify 1 into 1 9.912 * [backup-simplify]: Simplify (/ -1 1) into -1 9.913 * [backup-simplify]: Simplify (sqrt 0) into 0 9.923 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.923 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.928 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.931 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.931 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.941 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.941 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.942 * [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))))) 9.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.943 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 9.943 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 9.943 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 9.943 * [taylor]: Taking taylor expansion of 1.0 in k 9.943 * [backup-simplify]: Simplify 1.0 into 1.0 9.943 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 9.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.944 * [taylor]: Taking taylor expansion of k in k 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [backup-simplify]: Simplify (/ 1 1) into 1 9.944 * [backup-simplify]: Simplify (sqrt 0) into 0 9.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.946 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.946 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.946 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.946 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.946 * [taylor]: Taking taylor expansion of 0.5 in k 9.946 * [backup-simplify]: Simplify 0.5 into 0.5 9.946 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.946 * [taylor]: Taking taylor expansion of 1.0 in k 9.946 * [backup-simplify]: Simplify 1.0 into 1.0 9.946 * [taylor]: Taking taylor expansion of k in k 9.946 * [backup-simplify]: Simplify 0 into 0 9.946 * [backup-simplify]: Simplify 1 into 1 9.946 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.946 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.946 * [taylor]: Taking taylor expansion of 2.0 in k 9.946 * [backup-simplify]: Simplify 2.0 into 2.0 9.946 * [taylor]: Taking taylor expansion of PI in k 9.946 * [backup-simplify]: Simplify PI into PI 9.947 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.948 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.948 * [backup-simplify]: Simplify (- 0) into 0 9.949 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.949 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.951 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.952 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.952 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 9.952 * [taylor]: Taking taylor expansion of 1.0 in k 9.952 * [backup-simplify]: Simplify 1.0 into 1.0 9.952 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 9.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.953 * [taylor]: Taking taylor expansion of k in k 9.953 * [backup-simplify]: Simplify 0 into 0 9.953 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (/ 1 1) into 1 9.953 * [backup-simplify]: Simplify (sqrt 0) into 0 9.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 9.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 9.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 9.954 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.954 * [taylor]: Taking taylor expansion of 0.5 in k 9.954 * [backup-simplify]: Simplify 0.5 into 0.5 9.954 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.954 * [taylor]: Taking taylor expansion of 1.0 in k 9.954 * [backup-simplify]: Simplify 1.0 into 1.0 9.954 * [taylor]: Taking taylor expansion of k in k 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.954 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.954 * [taylor]: Taking taylor expansion of 2.0 in k 9.954 * [backup-simplify]: Simplify 2.0 into 2.0 9.954 * [taylor]: Taking taylor expansion of PI in k 9.954 * [backup-simplify]: Simplify PI into PI 9.954 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.955 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.955 * [backup-simplify]: Simplify (- 0) into 0 9.956 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.956 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.957 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 9.959 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 9.959 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 9.959 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.961 * [backup-simplify]: Simplify (- 1) into -1 9.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.963 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.965 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 9.972 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.976 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.986 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 9.992 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 9.993 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.996 * [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 9.996 * [backup-simplify]: Simplify (- 0) into 0 9.996 * [backup-simplify]: Simplify (+ 0 0) into 0 9.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 10.007 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 10.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.022 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 10.062 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 10.082 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 10.084 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.090 * [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 10.091 * [backup-simplify]: Simplify (- 0) into 0 10.091 * [backup-simplify]: Simplify (+ 0 0) into 0 10.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 10.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 10.117 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 10.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.165 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 10.224 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 10.252 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 10.296 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 10.297 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 10.297 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 10.297 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.297 * [taylor]: Taking taylor expansion of 1.0 in k 10.297 * [backup-simplify]: Simplify 1.0 into 1.0 10.297 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.297 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.297 * [taylor]: Taking taylor expansion of k in k 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 1 into 1 10.298 * [backup-simplify]: Simplify (sqrt 0) into 0 10.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.299 * [taylor]: Taking taylor expansion of 0.5 in k 10.299 * [backup-simplify]: Simplify 0.5 into 0.5 10.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.299 * [taylor]: Taking taylor expansion of 1.0 in k 10.299 * [backup-simplify]: Simplify 1.0 into 1.0 10.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.299 * [taylor]: Taking taylor expansion of k in k 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify 1 into 1 10.299 * [backup-simplify]: Simplify (/ 1 1) into 1 10.299 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.299 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.299 * [taylor]: Taking taylor expansion of 2.0 in k 10.299 * [backup-simplify]: Simplify 2.0 into 2.0 10.299 * [taylor]: Taking taylor expansion of PI in k 10.299 * [backup-simplify]: Simplify PI into PI 10.300 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.300 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.300 * [backup-simplify]: Simplify (- 1) into -1 10.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.301 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.302 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.303 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.303 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 10.303 * [taylor]: Taking taylor expansion of 1.0 in k 10.303 * [backup-simplify]: Simplify 1.0 into 1.0 10.303 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 10.303 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.303 * [taylor]: Taking taylor expansion of k in k 10.303 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify 1 into 1 10.303 * [backup-simplify]: Simplify (sqrt 0) into 0 10.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 10.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 10.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.304 * [taylor]: Taking taylor expansion of 0.5 in k 10.304 * [backup-simplify]: Simplify 0.5 into 0.5 10.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.304 * [taylor]: Taking taylor expansion of 1.0 in k 10.304 * [backup-simplify]: Simplify 1.0 into 1.0 10.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.304 * [taylor]: Taking taylor expansion of k in k 10.304 * [backup-simplify]: Simplify 0 into 0 10.304 * [backup-simplify]: Simplify 1 into 1 10.304 * [backup-simplify]: Simplify (/ 1 1) into 1 10.305 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.305 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.305 * [taylor]: Taking taylor expansion of 2.0 in k 10.305 * [backup-simplify]: Simplify 2.0 into 2.0 10.305 * [taylor]: Taking taylor expansion of PI in k 10.305 * [backup-simplify]: Simplify PI into PI 10.305 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.306 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.306 * [backup-simplify]: Simplify (- 1) into -1 10.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.306 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.307 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 10.308 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 10.309 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 10.309 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.309 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.311 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.312 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.323 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.328 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.330 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.339 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.340 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 10.343 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 10.343 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 10.343 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 10.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.343 * [taylor]: Taking taylor expansion of 1.0 in k 10.343 * [backup-simplify]: Simplify 1.0 into 1.0 10.343 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.344 * [taylor]: Taking taylor expansion of 0.5 in k 10.344 * [backup-simplify]: Simplify 0.5 into 0.5 10.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.344 * [taylor]: Taking taylor expansion of k in k 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify 1 into 1 10.344 * [backup-simplify]: Simplify (/ 1 1) into 1 10.344 * [taylor]: Taking taylor expansion of 1.0 in k 10.344 * [backup-simplify]: Simplify 1.0 into 1.0 10.344 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.344 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.344 * [taylor]: Taking taylor expansion of 2.0 in k 10.344 * [backup-simplify]: Simplify 2.0 into 2.0 10.344 * [taylor]: Taking taylor expansion of PI in k 10.344 * [backup-simplify]: Simplify PI into PI 10.344 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.345 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.345 * [backup-simplify]: Simplify (+ 1 0) into 1 10.346 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.347 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.348 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.348 * [taylor]: Taking taylor expansion of -1 in k 10.348 * [backup-simplify]: Simplify -1 into -1 10.348 * [taylor]: Taking taylor expansion of k in k 10.348 * [backup-simplify]: Simplify 0 into 0 10.348 * [backup-simplify]: Simplify 1 into 1 10.348 * [backup-simplify]: Simplify (/ -1 1) into -1 10.348 * [backup-simplify]: Simplify (sqrt 0) into 0 10.349 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.350 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.350 * [taylor]: Taking taylor expansion of 1.0 in k 10.350 * [backup-simplify]: Simplify 1.0 into 1.0 10.350 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 10.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 10.350 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.350 * [taylor]: Taking taylor expansion of 0.5 in k 10.350 * [backup-simplify]: Simplify 0.5 into 0.5 10.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.350 * [taylor]: Taking taylor expansion of k in k 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify 1 into 1 10.350 * [backup-simplify]: Simplify (/ 1 1) into 1 10.350 * [taylor]: Taking taylor expansion of 1.0 in k 10.350 * [backup-simplify]: Simplify 1.0 into 1.0 10.350 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.350 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.351 * [taylor]: Taking taylor expansion of 2.0 in k 10.351 * [backup-simplify]: Simplify 2.0 into 2.0 10.351 * [taylor]: Taking taylor expansion of PI in k 10.351 * [backup-simplify]: Simplify PI into PI 10.351 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 10.352 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 10.353 * [backup-simplify]: Simplify (+ 1 0) into 1 10.353 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.355 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 10.356 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 10.356 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.356 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.356 * [taylor]: Taking taylor expansion of -1 in k 10.356 * [backup-simplify]: Simplify -1 into -1 10.356 * [taylor]: Taking taylor expansion of k in k 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 1 into 1 10.357 * [backup-simplify]: Simplify (/ -1 1) into -1 10.357 * [backup-simplify]: Simplify (sqrt 0) into 0 10.358 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.360 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.361 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.362 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 10.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.368 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.371 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.372 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.381 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.385 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.387 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 10.391 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 10.391 * * * [progress]: simplifying candidates 10.396 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +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 k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 11.768 * * * [progress]: adding candidates to table 12.561 * * [progress]: iteration 4 / 4 12.561 * * * [progress]: picking best candidate 12.590 * * * * [pick]: Picked # 12.590 * * * [progress]: localizing error 12.619 * * * [progress]: generating rewritten candidates 12.619 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 12.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 12.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 12.756 * * * [progress]: generating series expansions 12.756 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.756 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 12.756 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 12.757 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.757 * [taylor]: Taking taylor expansion of 0.5 in k 12.757 * [backup-simplify]: Simplify 0.5 into 0.5 12.757 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.757 * [taylor]: Taking taylor expansion of 1.0 in k 12.757 * [backup-simplify]: Simplify 1.0 into 1.0 12.757 * [taylor]: Taking taylor expansion of k in k 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 1 into 1 12.757 * [taylor]: Taking taylor expansion of (log n) in k 12.757 * [taylor]: Taking taylor expansion of n in k 12.757 * [backup-simplify]: Simplify n into n 12.757 * [backup-simplify]: Simplify (log n) into (log n) 12.757 * [backup-simplify]: Simplify (- 0) into 0 12.758 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.758 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.758 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.758 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.758 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.758 * [taylor]: Taking taylor expansion of 0.5 in n 12.758 * [backup-simplify]: Simplify 0.5 into 0.5 12.758 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.758 * [taylor]: Taking taylor expansion of 1.0 in n 12.758 * [backup-simplify]: Simplify 1.0 into 1.0 12.758 * [taylor]: Taking taylor expansion of k in n 12.758 * [backup-simplify]: Simplify k into k 12.758 * [taylor]: Taking taylor expansion of (log n) in n 12.758 * [taylor]: Taking taylor expansion of n in n 12.758 * [backup-simplify]: Simplify 0 into 0 12.758 * [backup-simplify]: Simplify 1 into 1 12.759 * [backup-simplify]: Simplify (log 1) into 0 12.759 * [backup-simplify]: Simplify (- k) into (- k) 12.759 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.759 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.759 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.760 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.760 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.760 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.760 * [taylor]: Taking taylor expansion of 0.5 in n 12.760 * [backup-simplify]: Simplify 0.5 into 0.5 12.760 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.760 * [taylor]: Taking taylor expansion of 1.0 in n 12.760 * [backup-simplify]: Simplify 1.0 into 1.0 12.760 * [taylor]: Taking taylor expansion of k in n 12.760 * [backup-simplify]: Simplify k into k 12.760 * [taylor]: Taking taylor expansion of (log n) in n 12.760 * [taylor]: Taking taylor expansion of n in n 12.760 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.760 * [backup-simplify]: Simplify (log 1) into 0 12.760 * [backup-simplify]: Simplify (- k) into (- k) 12.760 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.760 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.761 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.761 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 12.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 12.761 * [taylor]: Taking taylor expansion of 0.5 in k 12.761 * [backup-simplify]: Simplify 0.5 into 0.5 12.761 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 12.761 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.761 * [taylor]: Taking taylor expansion of 1.0 in k 12.761 * [backup-simplify]: Simplify 1.0 into 1.0 12.761 * [taylor]: Taking taylor expansion of k in k 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [taylor]: Taking taylor expansion of (log n) in k 12.761 * [taylor]: Taking taylor expansion of n in k 12.761 * [backup-simplify]: Simplify n into n 12.761 * [backup-simplify]: Simplify (log n) into (log n) 12.761 * [backup-simplify]: Simplify (- 0) into 0 12.762 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.762 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.762 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 12.762 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.762 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 12.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.764 * [backup-simplify]: Simplify (- 0) into 0 12.764 * [backup-simplify]: Simplify (+ 0 0) into 0 12.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.765 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 12.765 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.765 * [taylor]: Taking taylor expansion of 0 in k 12.765 * [backup-simplify]: Simplify 0 into 0 12.765 * [backup-simplify]: Simplify 0 into 0 12.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.766 * [backup-simplify]: Simplify (- 1) into -1 12.766 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.767 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 12.767 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 12.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 12.767 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 12.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.770 * [backup-simplify]: Simplify (- 0) into 0 12.770 * [backup-simplify]: Simplify (+ 0 0) into 0 12.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.771 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 12.772 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.772 * [taylor]: Taking taylor expansion of 0 in k 12.772 * [backup-simplify]: Simplify 0 into 0 12.772 * [backup-simplify]: Simplify 0 into 0 12.772 * [backup-simplify]: Simplify 0 into 0 12.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.773 * [backup-simplify]: Simplify (- 0) into 0 12.774 * [backup-simplify]: Simplify (+ 0 0) into 0 12.774 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 12.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 12.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 12.776 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 12.776 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 12.777 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 12.777 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.777 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.777 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.777 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.777 * [taylor]: Taking taylor expansion of 0.5 in k 12.777 * [backup-simplify]: Simplify 0.5 into 0.5 12.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.777 * [taylor]: Taking taylor expansion of 1.0 in k 12.777 * [backup-simplify]: Simplify 1.0 into 1.0 12.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.777 * [taylor]: Taking taylor expansion of k in k 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 1 into 1 12.777 * [backup-simplify]: Simplify (/ 1 1) into 1 12.777 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.777 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.777 * [taylor]: Taking taylor expansion of n in k 12.777 * [backup-simplify]: Simplify n into n 12.777 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.777 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.777 * [backup-simplify]: Simplify (- 1) into -1 12.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.778 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.778 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.778 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.778 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.778 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.778 * [taylor]: Taking taylor expansion of 0.5 in n 12.778 * [backup-simplify]: Simplify 0.5 into 0.5 12.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.778 * [taylor]: Taking taylor expansion of 1.0 in n 12.778 * [backup-simplify]: Simplify 1.0 into 1.0 12.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.778 * [taylor]: Taking taylor expansion of k in n 12.778 * [backup-simplify]: Simplify k into k 12.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.779 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.779 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.779 * [taylor]: Taking taylor expansion of n in n 12.779 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify 1 into 1 12.779 * [backup-simplify]: Simplify (/ 1 1) into 1 12.779 * [backup-simplify]: Simplify (log 1) into 0 12.779 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.779 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.779 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.780 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.780 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.780 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.780 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.780 * [taylor]: Taking taylor expansion of 0.5 in n 12.780 * [backup-simplify]: Simplify 0.5 into 0.5 12.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.780 * [taylor]: Taking taylor expansion of 1.0 in n 12.780 * [backup-simplify]: Simplify 1.0 into 1.0 12.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.780 * [taylor]: Taking taylor expansion of k in n 12.780 * [backup-simplify]: Simplify k into k 12.780 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.780 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.780 * [taylor]: Taking taylor expansion of n in n 12.780 * [backup-simplify]: Simplify 0 into 0 12.780 * [backup-simplify]: Simplify 1 into 1 12.780 * [backup-simplify]: Simplify (/ 1 1) into 1 12.781 * [backup-simplify]: Simplify (log 1) into 0 12.781 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.781 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.781 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.781 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.781 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.781 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 12.782 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 12.782 * [taylor]: Taking taylor expansion of -0.5 in k 12.782 * [backup-simplify]: Simplify -0.5 into -0.5 12.782 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 12.782 * [taylor]: Taking taylor expansion of (log n) in k 12.782 * [taylor]: Taking taylor expansion of n in k 12.782 * [backup-simplify]: Simplify n into n 12.782 * [backup-simplify]: Simplify (log n) into (log n) 12.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.782 * [taylor]: Taking taylor expansion of 1.0 in k 12.782 * [backup-simplify]: Simplify 1.0 into 1.0 12.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.782 * [taylor]: Taking taylor expansion of k in k 12.782 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify 1 into 1 12.782 * [backup-simplify]: Simplify (/ 1 1) into 1 12.782 * [backup-simplify]: Simplify (- 1) into -1 12.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.783 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 12.783 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 12.783 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.783 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.785 * [backup-simplify]: Simplify (- 0) into 0 12.785 * [backup-simplify]: Simplify (+ 0 0) into 0 12.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.786 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 12.786 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.786 * [taylor]: Taking taylor expansion of 0 in k 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 0 into 0 12.786 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.790 * [backup-simplify]: Simplify (- 0) into 0 12.790 * [backup-simplify]: Simplify (+ 0 0) into 0 12.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.791 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 12.792 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.792 * [taylor]: Taking taylor expansion of 0 in k 12.792 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify 0 into 0 12.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.796 * [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 12.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.797 * [backup-simplify]: Simplify (- 0) into 0 12.797 * [backup-simplify]: Simplify (+ 0 0) into 0 12.798 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.799 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 12.801 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.801 * [taylor]: Taking taylor expansion of 0 in k 12.801 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 12.802 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 12.802 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.802 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.802 * [taylor]: Taking taylor expansion of 0.5 in k 12.802 * [backup-simplify]: Simplify 0.5 into 0.5 12.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.802 * [taylor]: Taking taylor expansion of k in k 12.802 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify 1 into 1 12.802 * [backup-simplify]: Simplify (/ 1 1) into 1 12.802 * [taylor]: Taking taylor expansion of 1.0 in k 12.802 * [backup-simplify]: Simplify 1.0 into 1.0 12.803 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.803 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.803 * [taylor]: Taking taylor expansion of -1 in k 12.803 * [backup-simplify]: Simplify -1 into -1 12.803 * [taylor]: Taking taylor expansion of n in k 12.803 * [backup-simplify]: Simplify n into n 12.803 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.803 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.803 * [backup-simplify]: Simplify (+ 1 0) into 1 12.803 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.803 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.804 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.804 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.804 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.804 * [taylor]: Taking taylor expansion of 0.5 in n 12.804 * [backup-simplify]: Simplify 0.5 into 0.5 12.804 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.804 * [taylor]: Taking taylor expansion of k in n 12.804 * [backup-simplify]: Simplify k into k 12.804 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.804 * [taylor]: Taking taylor expansion of 1.0 in n 12.804 * [backup-simplify]: Simplify 1.0 into 1.0 12.804 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.804 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.804 * [taylor]: Taking taylor expansion of -1 in n 12.804 * [backup-simplify]: Simplify -1 into -1 12.804 * [taylor]: Taking taylor expansion of n in n 12.804 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify 1 into 1 12.804 * [backup-simplify]: Simplify (/ -1 1) into -1 12.804 * [backup-simplify]: Simplify (log -1) into (log -1) 12.805 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.805 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.806 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.806 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.806 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.806 * [taylor]: Taking taylor expansion of 0.5 in n 12.806 * [backup-simplify]: Simplify 0.5 into 0.5 12.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.806 * [taylor]: Taking taylor expansion of k in n 12.806 * [backup-simplify]: Simplify k into k 12.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.806 * [taylor]: Taking taylor expansion of 1.0 in n 12.806 * [backup-simplify]: Simplify 1.0 into 1.0 12.806 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.806 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.806 * [taylor]: Taking taylor expansion of -1 in n 12.806 * [backup-simplify]: Simplify -1 into -1 12.806 * [taylor]: Taking taylor expansion of n in n 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.807 * [backup-simplify]: Simplify (/ -1 1) into -1 12.807 * [backup-simplify]: Simplify (log -1) into (log -1) 12.807 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.807 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.808 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.808 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 12.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 12.808 * [taylor]: Taking taylor expansion of 0.5 in k 12.808 * [backup-simplify]: Simplify 0.5 into 0.5 12.808 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 12.808 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 12.809 * [taylor]: Taking taylor expansion of (log -1) in k 12.809 * [taylor]: Taking taylor expansion of -1 in k 12.809 * [backup-simplify]: Simplify -1 into -1 12.809 * [backup-simplify]: Simplify (log -1) into (log -1) 12.809 * [taylor]: Taking taylor expansion of (log n) in k 12.809 * [taylor]: Taking taylor expansion of n in k 12.809 * [backup-simplify]: Simplify n into n 12.809 * [backup-simplify]: Simplify (log n) into (log n) 12.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.809 * [taylor]: Taking taylor expansion of k in k 12.809 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify 1 into 1 12.809 * [backup-simplify]: Simplify (/ 1 1) into 1 12.809 * [taylor]: Taking taylor expansion of 1.0 in k 12.809 * [backup-simplify]: Simplify 1.0 into 1.0 12.809 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.810 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 12.810 * [backup-simplify]: Simplify (+ 1 0) into 1 12.810 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 12.811 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 12.811 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.812 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.813 * [backup-simplify]: Simplify (+ 0 0) into 0 12.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.815 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 12.815 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.815 * [taylor]: Taking taylor expansion of 0 in k 12.816 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.818 * [backup-simplify]: Simplify (+ 0 0) into 0 12.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.820 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 12.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.821 * [taylor]: Taking taylor expansion of 0 in k 12.821 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify 0 into 0 12.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.825 * [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 12.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.825 * [backup-simplify]: Simplify (+ 0 0) into 0 12.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.834 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 12.836 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.836 * [taylor]: Taking taylor expansion of 0 in k 12.836 * [backup-simplify]: Simplify 0 into 0 12.836 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 12.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 12.837 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 12.837 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 12.837 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.837 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.837 * [taylor]: Taking taylor expansion of 0.5 in k 12.837 * [backup-simplify]: Simplify 0.5 into 0.5 12.837 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.837 * [taylor]: Taking taylor expansion of 1.0 in k 12.837 * [backup-simplify]: Simplify 1.0 into 1.0 12.837 * [taylor]: Taking taylor expansion of k in k 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify 1 into 1 12.837 * [taylor]: Taking taylor expansion of (log PI) in k 12.837 * [taylor]: Taking taylor expansion of PI in k 12.837 * [backup-simplify]: Simplify PI into PI 12.837 * [backup-simplify]: Simplify (log PI) into (log PI) 12.838 * [backup-simplify]: Simplify (- 0) into 0 12.838 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.838 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.839 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.841 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.841 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.841 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.841 * [taylor]: Taking taylor expansion of 0.5 in k 12.841 * [backup-simplify]: Simplify 0.5 into 0.5 12.841 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.841 * [taylor]: Taking taylor expansion of 1.0 in k 12.841 * [backup-simplify]: Simplify 1.0 into 1.0 12.841 * [taylor]: Taking taylor expansion of k in k 12.841 * [backup-simplify]: Simplify 0 into 0 12.842 * [backup-simplify]: Simplify 1 into 1 12.842 * [taylor]: Taking taylor expansion of (log PI) in k 12.842 * [taylor]: Taking taylor expansion of PI in k 12.842 * [backup-simplify]: Simplify PI into PI 12.842 * [backup-simplify]: Simplify (log PI) into (log PI) 12.842 * [backup-simplify]: Simplify (- 0) into 0 12.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.843 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.844 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.846 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.847 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 12.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.849 * [backup-simplify]: Simplify (- 1) into -1 12.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.851 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.854 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.863 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.866 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 12.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.868 * [backup-simplify]: Simplify (- 0) into 0 12.868 * [backup-simplify]: Simplify (+ 0 0) into 0 12.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.877 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.879 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 12.885 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 12.885 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 12.885 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 12.885 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.886 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.886 * [taylor]: Taking taylor expansion of 0.5 in k 12.886 * [backup-simplify]: Simplify 0.5 into 0.5 12.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.886 * [taylor]: Taking taylor expansion of 1.0 in k 12.886 * [backup-simplify]: Simplify 1.0 into 1.0 12.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.886 * [taylor]: Taking taylor expansion of k in k 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [backup-simplify]: Simplify (/ 1 1) into 1 12.886 * [taylor]: Taking taylor expansion of (log PI) in k 12.886 * [taylor]: Taking taylor expansion of PI in k 12.886 * [backup-simplify]: Simplify PI into PI 12.886 * [backup-simplify]: Simplify (log PI) into (log PI) 12.887 * [backup-simplify]: Simplify (- 1) into -1 12.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.887 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.888 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.888 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.888 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.888 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.888 * [taylor]: Taking taylor expansion of 0.5 in k 12.888 * [backup-simplify]: Simplify 0.5 into 0.5 12.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.888 * [taylor]: Taking taylor expansion of 1.0 in k 12.888 * [backup-simplify]: Simplify 1.0 into 1.0 12.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.888 * [taylor]: Taking taylor expansion of k in k 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify 1 into 1 12.889 * [backup-simplify]: Simplify (/ 1 1) into 1 12.889 * [taylor]: Taking taylor expansion of (log PI) in k 12.889 * [taylor]: Taking taylor expansion of PI in k 12.889 * [backup-simplify]: Simplify PI into PI 12.889 * [backup-simplify]: Simplify (log PI) into (log PI) 12.889 * [backup-simplify]: Simplify (- 1) into -1 12.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.890 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.890 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.891 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.891 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.892 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 12.892 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 12.892 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.892 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.892 * [taylor]: Taking taylor expansion of 0.5 in k 12.892 * [backup-simplify]: Simplify 0.5 into 0.5 12.892 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.892 * [taylor]: Taking taylor expansion of k in k 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify 1 into 1 12.893 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [taylor]: Taking taylor expansion of 1.0 in k 12.893 * [backup-simplify]: Simplify 1.0 into 1.0 12.893 * [taylor]: Taking taylor expansion of (log PI) in k 12.893 * [taylor]: Taking taylor expansion of PI in k 12.893 * [backup-simplify]: Simplify PI into PI 12.893 * [backup-simplify]: Simplify (log PI) into (log PI) 12.893 * [backup-simplify]: Simplify (+ 1 0) into 1 12.894 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.894 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.895 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.895 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.895 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.895 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.895 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.895 * [taylor]: Taking taylor expansion of 0.5 in k 12.895 * [backup-simplify]: Simplify 0.5 into 0.5 12.895 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.895 * [taylor]: Taking taylor expansion of k in k 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 1 into 1 12.895 * [backup-simplify]: Simplify (/ 1 1) into 1 12.896 * [taylor]: Taking taylor expansion of 1.0 in k 12.896 * [backup-simplify]: Simplify 1.0 into 1.0 12.896 * [taylor]: Taking taylor expansion of (log PI) in k 12.896 * [taylor]: Taking taylor expansion of PI in k 12.896 * [backup-simplify]: Simplify PI into PI 12.896 * [backup-simplify]: Simplify (log PI) into (log PI) 12.897 * [backup-simplify]: Simplify (+ 1 0) into 1 12.897 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.898 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.899 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.899 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.900 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 12.900 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.900 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.900 * [taylor]: Taking taylor expansion of 1.0 in k 12.901 * [backup-simplify]: Simplify 1.0 into 1.0 12.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.901 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.901 * [taylor]: Taking taylor expansion of k in k 12.901 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify 1 into 1 12.901 * [backup-simplify]: Simplify (/ 1 1) into 1 12.901 * [backup-simplify]: Simplify (sqrt 0) into 0 12.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.903 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.903 * [taylor]: Taking taylor expansion of 1.0 in k 12.903 * [backup-simplify]: Simplify 1.0 into 1.0 12.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.903 * [taylor]: Taking taylor expansion of k in k 12.903 * [backup-simplify]: Simplify 0 into 0 12.903 * [backup-simplify]: Simplify 1 into 1 12.904 * [backup-simplify]: Simplify (/ 1 1) into 1 12.904 * [backup-simplify]: Simplify (sqrt 0) into 0 12.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.906 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.906 * [backup-simplify]: Simplify 0 into 0 12.907 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.908 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.912 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.914 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.914 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.921 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.922 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.923 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.923 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.923 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.923 * [taylor]: Taking taylor expansion of 1.0 in k 12.924 * [backup-simplify]: Simplify 1.0 into 1.0 12.924 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.924 * [taylor]: Taking taylor expansion of k in k 12.924 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify (sqrt 0) into 0 12.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.926 * [taylor]: Taking taylor expansion of 1.0 in k 12.926 * [backup-simplify]: Simplify 1.0 into 1.0 12.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.926 * [taylor]: Taking taylor expansion of k in k 12.926 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify 1 into 1 12.926 * [backup-simplify]: Simplify (sqrt 0) into 0 12.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.928 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.928 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.930 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.933 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.935 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.941 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.942 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.943 * [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)))))))) 12.944 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.944 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.944 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.944 * [taylor]: Taking taylor expansion of 1.0 in k 12.944 * [backup-simplify]: Simplify 1.0 into 1.0 12.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.944 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.944 * [taylor]: Taking taylor expansion of -1 in k 12.944 * [backup-simplify]: Simplify -1 into -1 12.944 * [taylor]: Taking taylor expansion of k in k 12.944 * [backup-simplify]: Simplify 0 into 0 12.944 * [backup-simplify]: Simplify 1 into 1 12.944 * [backup-simplify]: Simplify (/ -1 1) into -1 12.945 * [backup-simplify]: Simplify (sqrt 0) into 0 12.946 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.947 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.947 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.947 * [taylor]: Taking taylor expansion of 1.0 in k 12.947 * [backup-simplify]: Simplify 1.0 into 1.0 12.947 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.947 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.947 * [taylor]: Taking taylor expansion of -1 in k 12.947 * [backup-simplify]: Simplify -1 into -1 12.947 * [taylor]: Taking taylor expansion of k in k 12.947 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify 1 into 1 12.947 * [backup-simplify]: Simplify (/ -1 1) into -1 12.948 * [backup-simplify]: Simplify (sqrt 0) into 0 12.949 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.950 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.950 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.957 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.957 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.976 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.977 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.978 * [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))))) 12.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 12.979 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 12.979 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 12.979 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.979 * [taylor]: Taking taylor expansion of 1.0 in k 12.979 * [backup-simplify]: Simplify 1.0 into 1.0 12.979 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.979 * [taylor]: Taking taylor expansion of k in k 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.979 * [backup-simplify]: Simplify (/ 1 1) into 1 12.980 * [backup-simplify]: Simplify (sqrt 0) into 0 12.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.981 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.982 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.982 * [taylor]: Taking taylor expansion of 0.5 in k 12.982 * [backup-simplify]: Simplify 0.5 into 0.5 12.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.982 * [taylor]: Taking taylor expansion of 1.0 in k 12.982 * [backup-simplify]: Simplify 1.0 into 1.0 12.982 * [taylor]: Taking taylor expansion of k in k 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify 1 into 1 12.982 * [taylor]: Taking taylor expansion of (log PI) in k 12.982 * [taylor]: Taking taylor expansion of PI in k 12.982 * [backup-simplify]: Simplify PI into PI 12.983 * [backup-simplify]: Simplify (log PI) into (log PI) 12.983 * [backup-simplify]: Simplify (- 0) into 0 12.984 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.984 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.985 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.987 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.987 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 12.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 12.987 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 12.987 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.987 * [taylor]: Taking taylor expansion of 0.5 in k 12.987 * [backup-simplify]: Simplify 0.5 into 0.5 12.987 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.987 * [taylor]: Taking taylor expansion of 1.0 in k 12.987 * [backup-simplify]: Simplify 1.0 into 1.0 12.987 * [taylor]: Taking taylor expansion of k in k 12.987 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify 1 into 1 12.987 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.987 * [taylor]: Taking taylor expansion of 2.0 in k 12.987 * [backup-simplify]: Simplify 2.0 into 2.0 12.988 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.988 * [backup-simplify]: Simplify (- 0) into 0 12.989 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.989 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.990 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.992 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 12.992 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 12.992 * [taylor]: Taking taylor expansion of 1.0 in k 12.992 * [backup-simplify]: Simplify 1.0 into 1.0 12.992 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 12.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.992 * [taylor]: Taking taylor expansion of k in k 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * [backup-simplify]: Simplify (/ 1 1) into 1 12.993 * [backup-simplify]: Simplify (sqrt 0) into 0 12.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.994 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 12.994 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.994 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.994 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.995 * [taylor]: Taking taylor expansion of 0.5 in k 12.995 * [backup-simplify]: Simplify 0.5 into 0.5 12.995 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.995 * [taylor]: Taking taylor expansion of 1.0 in k 12.995 * [backup-simplify]: Simplify 1.0 into 1.0 12.995 * [taylor]: Taking taylor expansion of k in k 12.995 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify 1 into 1 12.995 * [taylor]: Taking taylor expansion of (log PI) in k 12.995 * [taylor]: Taking taylor expansion of PI in k 12.995 * [backup-simplify]: Simplify PI into PI 12.995 * [backup-simplify]: Simplify (log PI) into (log PI) 12.996 * [backup-simplify]: Simplify (- 0) into 0 12.996 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.997 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.998 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.999 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.999 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 13.000 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 13.000 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 13.000 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.000 * [taylor]: Taking taylor expansion of 0.5 in k 13.000 * [backup-simplify]: Simplify 0.5 into 0.5 13.000 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.000 * [taylor]: Taking taylor expansion of 1.0 in k 13.000 * [backup-simplify]: Simplify 1.0 into 1.0 13.000 * [taylor]: Taking taylor expansion of k in k 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.000 * [taylor]: Taking taylor expansion of 2.0 in k 13.000 * [backup-simplify]: Simplify 2.0 into 2.0 13.000 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.001 * [backup-simplify]: Simplify (- 0) into 0 13.001 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.002 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.003 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 13.004 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 13.006 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 13.008 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 13.008 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.008 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 13.010 * [backup-simplify]: Simplify (- 1) into -1 13.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.012 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 13.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 13.025 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 13.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 13.027 * [backup-simplify]: Simplify (- 1) into -1 13.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.029 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 13.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 13.039 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 13.048 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 13.055 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 13.061 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 13.066 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 13.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 13.070 * [backup-simplify]: Simplify (- 0) into 0 13.070 * [backup-simplify]: Simplify (+ 0 0) into 0 13.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 13.086 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 13.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 13.090 * [backup-simplify]: Simplify (- 0) into 0 13.091 * [backup-simplify]: Simplify (+ 0 0) into 0 13.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 13.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 13.101 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 13.135 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 13.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.184 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 13.229 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 13.250 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 13.260 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 13.261 * [backup-simplify]: Simplify (- 0) into 0 13.261 * [backup-simplify]: Simplify (+ 0 0) into 0 13.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 13.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 13.280 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 13.286 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 13.287 * [backup-simplify]: Simplify (- 0) into 0 13.287 * [backup-simplify]: Simplify (+ 0 0) into 0 13.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 13.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 13.306 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 13.359 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 13.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.460 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 13.554 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 13.651 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 13.765 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 13.766 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 13.766 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 13.766 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 13.766 * [taylor]: Taking taylor expansion of 1.0 in k 13.766 * [backup-simplify]: Simplify 1.0 into 1.0 13.766 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 13.766 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.766 * [taylor]: Taking taylor expansion of k in k 13.766 * [backup-simplify]: Simplify 0 into 0 13.766 * [backup-simplify]: Simplify 1 into 1 13.766 * [backup-simplify]: Simplify (sqrt 0) into 0 13.767 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.767 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 13.767 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 13.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 13.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 13.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.767 * [taylor]: Taking taylor expansion of 0.5 in k 13.767 * [backup-simplify]: Simplify 0.5 into 0.5 13.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.767 * [taylor]: Taking taylor expansion of 1.0 in k 13.767 * [backup-simplify]: Simplify 1.0 into 1.0 13.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.767 * [taylor]: Taking taylor expansion of k in k 13.767 * [backup-simplify]: Simplify 0 into 0 13.767 * [backup-simplify]: Simplify 1 into 1 13.768 * [backup-simplify]: Simplify (/ 1 1) into 1 13.768 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.768 * [taylor]: Taking taylor expansion of 2.0 in k 13.768 * [backup-simplify]: Simplify 2.0 into 2.0 13.774 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.774 * [backup-simplify]: Simplify (- 1) into -1 13.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.775 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.776 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 13.776 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 13.776 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.776 * [taylor]: Taking taylor expansion of 0.5 in k 13.776 * [backup-simplify]: Simplify 0.5 into 0.5 13.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.776 * [taylor]: Taking taylor expansion of 1.0 in k 13.776 * [backup-simplify]: Simplify 1.0 into 1.0 13.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.776 * [taylor]: Taking taylor expansion of k in k 13.776 * [backup-simplify]: Simplify 0 into 0 13.776 * [backup-simplify]: Simplify 1 into 1 13.776 * [backup-simplify]: Simplify (/ 1 1) into 1 13.776 * [taylor]: Taking taylor expansion of (log PI) in k 13.776 * [taylor]: Taking taylor expansion of PI in k 13.777 * [backup-simplify]: Simplify PI into PI 13.777 * [backup-simplify]: Simplify (log PI) into (log PI) 13.777 * [backup-simplify]: Simplify (- 1) into -1 13.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.778 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.778 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.779 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 13.779 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 13.779 * [taylor]: Taking taylor expansion of 1.0 in k 13.779 * [backup-simplify]: Simplify 1.0 into 1.0 13.779 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 13.779 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.779 * [taylor]: Taking taylor expansion of k in k 13.779 * [backup-simplify]: Simplify 0 into 0 13.779 * [backup-simplify]: Simplify 1 into 1 13.779 * [backup-simplify]: Simplify (sqrt 0) into 0 13.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.780 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 13.780 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 13.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 13.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 13.780 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.780 * [taylor]: Taking taylor expansion of 0.5 in k 13.780 * [backup-simplify]: Simplify 0.5 into 0.5 13.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.780 * [taylor]: Taking taylor expansion of 1.0 in k 13.780 * [backup-simplify]: Simplify 1.0 into 1.0 13.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.780 * [taylor]: Taking taylor expansion of k in k 13.780 * [backup-simplify]: Simplify 0 into 0 13.780 * [backup-simplify]: Simplify 1 into 1 13.780 * [backup-simplify]: Simplify (/ 1 1) into 1 13.780 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.780 * [taylor]: Taking taylor expansion of 2.0 in k 13.780 * [backup-simplify]: Simplify 2.0 into 2.0 13.781 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.781 * [backup-simplify]: Simplify (- 1) into -1 13.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.781 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.782 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 13.782 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 13.782 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.782 * [taylor]: Taking taylor expansion of 0.5 in k 13.782 * [backup-simplify]: Simplify 0.5 into 0.5 13.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.783 * [taylor]: Taking taylor expansion of 1.0 in k 13.783 * [backup-simplify]: Simplify 1.0 into 1.0 13.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.783 * [taylor]: Taking taylor expansion of k in k 13.783 * [backup-simplify]: Simplify 0 into 0 13.783 * [backup-simplify]: Simplify 1 into 1 13.783 * [backup-simplify]: Simplify (/ 1 1) into 1 13.783 * [taylor]: Taking taylor expansion of (log PI) in k 13.783 * [taylor]: Taking taylor expansion of PI in k 13.783 * [backup-simplify]: Simplify PI into PI 13.783 * [backup-simplify]: Simplify (log PI) into (log PI) 13.783 * [backup-simplify]: Simplify (- 1) into -1 13.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.784 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.785 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.785 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 13.786 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 13.787 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 13.788 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.788 * [backup-simplify]: Simplify 0 into 0 13.788 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 13.789 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.790 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.791 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.792 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 13.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.797 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.798 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.799 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 13.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.805 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.806 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 13.810 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 13.811 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 13.811 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 13.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 13.811 * [taylor]: Taking taylor expansion of 1.0 in k 13.811 * [backup-simplify]: Simplify 1.0 into 1.0 13.811 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 13.811 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.811 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 13.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 13.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 13.811 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.812 * [taylor]: Taking taylor expansion of 0.5 in k 13.812 * [backup-simplify]: Simplify 0.5 into 0.5 13.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.812 * [taylor]: Taking taylor expansion of k in k 13.812 * [backup-simplify]: Simplify 0 into 0 13.812 * [backup-simplify]: Simplify 1 into 1 13.812 * [backup-simplify]: Simplify (/ 1 1) into 1 13.812 * [taylor]: Taking taylor expansion of 1.0 in k 13.812 * [backup-simplify]: Simplify 1.0 into 1.0 13.812 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.812 * [taylor]: Taking taylor expansion of 2.0 in k 13.812 * [backup-simplify]: Simplify 2.0 into 2.0 13.813 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.813 * [backup-simplify]: Simplify (+ 1 0) into 1 13.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.815 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 13.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 13.815 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.815 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.815 * [taylor]: Taking taylor expansion of 0.5 in k 13.815 * [backup-simplify]: Simplify 0.5 into 0.5 13.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.815 * [taylor]: Taking taylor expansion of k in k 13.816 * [backup-simplify]: Simplify 0 into 0 13.816 * [backup-simplify]: Simplify 1 into 1 13.816 * [backup-simplify]: Simplify (/ 1 1) into 1 13.816 * [taylor]: Taking taylor expansion of 1.0 in k 13.816 * [backup-simplify]: Simplify 1.0 into 1.0 13.816 * [taylor]: Taking taylor expansion of (log PI) in k 13.816 * [taylor]: Taking taylor expansion of PI in k 13.816 * [backup-simplify]: Simplify PI into PI 13.817 * [backup-simplify]: Simplify (log PI) into (log PI) 13.817 * [backup-simplify]: Simplify (+ 1 0) into 1 13.818 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.819 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.819 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 13.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.819 * [taylor]: Taking taylor expansion of -1 in k 13.819 * [backup-simplify]: Simplify -1 into -1 13.819 * [taylor]: Taking taylor expansion of k in k 13.819 * [backup-simplify]: Simplify 0 into 0 13.819 * [backup-simplify]: Simplify 1 into 1 13.819 * [backup-simplify]: Simplify (/ -1 1) into -1 13.820 * [backup-simplify]: Simplify (sqrt 0) into 0 13.820 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 13.822 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.822 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 13.822 * [taylor]: Taking taylor expansion of 1.0 in k 13.822 * [backup-simplify]: Simplify 1.0 into 1.0 13.822 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 13.822 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.822 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 13.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 13.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 13.822 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.822 * [taylor]: Taking taylor expansion of 0.5 in k 13.822 * [backup-simplify]: Simplify 0.5 into 0.5 13.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.822 * [taylor]: Taking taylor expansion of k in k 13.822 * [backup-simplify]: Simplify 0 into 0 13.822 * [backup-simplify]: Simplify 1 into 1 13.822 * [backup-simplify]: Simplify (/ 1 1) into 1 13.822 * [taylor]: Taking taylor expansion of 1.0 in k 13.822 * [backup-simplify]: Simplify 1.0 into 1.0 13.822 * [taylor]: Taking taylor expansion of (log 2.0) in k 13.822 * [taylor]: Taking taylor expansion of 2.0 in k 13.822 * [backup-simplify]: Simplify 2.0 into 2.0 13.823 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 13.823 * [backup-simplify]: Simplify (+ 1 0) into 1 13.823 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.824 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 13.824 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 13.824 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.824 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.824 * [taylor]: Taking taylor expansion of 0.5 in k 13.824 * [backup-simplify]: Simplify 0.5 into 0.5 13.824 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.824 * [taylor]: Taking taylor expansion of k in k 13.824 * [backup-simplify]: Simplify 0 into 0 13.824 * [backup-simplify]: Simplify 1 into 1 13.825 * [backup-simplify]: Simplify (/ 1 1) into 1 13.825 * [taylor]: Taking taylor expansion of 1.0 in k 13.825 * [backup-simplify]: Simplify 1.0 into 1.0 13.825 * [taylor]: Taking taylor expansion of (log PI) in k 13.825 * [taylor]: Taking taylor expansion of PI in k 13.825 * [backup-simplify]: Simplify PI into PI 13.825 * [backup-simplify]: Simplify (log PI) into (log PI) 13.825 * [backup-simplify]: Simplify (+ 1 0) into 1 13.826 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.826 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.826 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 13.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.827 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.827 * [taylor]: Taking taylor expansion of -1 in k 13.827 * [backup-simplify]: Simplify -1 into -1 13.827 * [taylor]: Taking taylor expansion of k in k 13.827 * [backup-simplify]: Simplify 0 into 0 13.827 * [backup-simplify]: Simplify 1 into 1 13.827 * [backup-simplify]: Simplify (/ -1 1) into -1 13.827 * [backup-simplify]: Simplify (sqrt 0) into 0 13.828 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.829 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 13.829 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.830 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.831 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 13.832 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 13.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.834 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.835 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.836 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.837 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.838 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 13.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.843 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.845 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.846 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 13.849 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 13.849 * * * [progress]: simplifying candidates 13.853 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI 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(pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (- (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) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +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 k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 15.546 * * * [progress]: adding candidates to table 16.418 * [progress]: [Phase 3 of 3] Extracting. 16.418 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 16.421 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.421 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 16.465 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 16.539 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 16.614 * * * [regime]: Found split indices: #