50.901 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.138 * * * [progress]: [2/2] Setting up program. 0.143 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.144 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.144 * * [simplify]: Extracting # 2 : cost 0 0.144 * * [simplify]: Extracting # 3 : cost 0 0.144 * * [simplify]: Extracting # 4 : cost 0 0.144 * * [simplify]: Extracting # 5 : cost 0 0.144 * * [simplify]: Extracting # 6 : cost 0 0.144 * * [simplify]: Extracting # 7 : cost 0 0.144 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.151 * * [simplify]: Extracting # 1 : cost 0 0.151 * * [simplify]: Extracting # 2 : cost 0 0.151 * * [simplify]: Extracting # 3 : cost 0 0.151 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: Extracting # 5 : cost 0 0.151 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.163 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.190 * * [simplify]: Extracting # 4 : cost 0 0.191 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.264 * * [simplify]: Extracting # 0 : cost 0 0.264 * * [simplify]: Extracting # 1 : cost 0 0.264 * * [simplify]: Extracting # 2 : cost 0 0.265 * * [simplify]: Extracting # 3 : cost 0 0.265 * * [simplify]: Extracting # 4 : cost 0 0.265 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.522 * * [simplify]: Extracting # 0 : cost 0 0.523 * * [simplify]: Extracting # 1 : cost 0 0.524 * * [simplify]: Extracting # 2 : cost 0 0.529 * * [simplify]: Extracting # 3 : cost 0 0.531 * * [simplify]: Extracting # 4 : cost 0 0.532 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.075 * * [simplify]: Extracting # 0 : cost 0 2.081 * * [simplify]: Extracting # 1 : cost 0 2.084 * * [simplify]: Extracting # 2 : cost 0 2.086 * * [simplify]: Extracting # 3 : cost 0 2.089 * * [simplify]: Extracting # 4 : cost 0 2.091 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 3.789 * * [simplify]: Extracting # 0 : cost 0 3.800 * * [simplify]: Extracting # 1 : cost 0 3.809 * * [simplify]: Extracting # 2 : cost 0 3.825 * * [simplify]: Extracting # 3 : cost 0 3.834 * * [simplify]: Extracting # 4 : cost 0 3.842 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.843 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.843 * * [progress]: iteration 1 / 4 3.843 * * * [progress]: picking best candidate 3.848 * * * * [pick]: Picked # 3.848 * * * [progress]: localizing error 3.880 * * * [progress]: generating rewritten candidates 3.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.925 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.957 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.021 * * * [progress]: generating series expansions 4.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.022 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.022 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.022 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.023 * [taylor]: Taking taylor expansion of 0.5 in k 4.023 * [backup-simplify]: Simplify 0.5 into 0.5 4.023 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [backup-simplify]: Simplify 1.0 into 1.0 4.023 * [taylor]: Taking taylor expansion of k in k 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.023 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.023 * [taylor]: Taking taylor expansion of 2.0 in k 4.023 * [backup-simplify]: Simplify 2.0 into 2.0 4.023 * [taylor]: Taking taylor expansion of (* n PI) in k 4.023 * [taylor]: Taking taylor expansion of n in k 4.023 * [backup-simplify]: Simplify n into n 4.023 * [taylor]: Taking taylor expansion of PI in k 4.023 * [backup-simplify]: Simplify PI into PI 4.023 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.023 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.023 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.024 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.025 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.025 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.025 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.025 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.025 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.025 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.025 * [taylor]: Taking taylor expansion of 0.5 in n 4.025 * [backup-simplify]: Simplify 0.5 into 0.5 4.025 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.025 * [taylor]: Taking taylor expansion of 1.0 in n 4.025 * [backup-simplify]: Simplify 1.0 into 1.0 4.025 * [taylor]: Taking taylor expansion of k in n 4.025 * [backup-simplify]: Simplify k into k 4.025 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.025 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.025 * [taylor]: Taking taylor expansion of 2.0 in n 4.025 * [backup-simplify]: Simplify 2.0 into 2.0 4.025 * [taylor]: Taking taylor expansion of (* n PI) in n 4.025 * [taylor]: Taking taylor expansion of n in n 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [taylor]: Taking taylor expansion of PI in n 4.025 * [backup-simplify]: Simplify PI into PI 4.026 * [backup-simplify]: Simplify (* 0 PI) into 0 4.026 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.030 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.031 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.031 * [backup-simplify]: Simplify (- k) into (- k) 4.031 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.031 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.033 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.034 * [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)))) 4.035 * [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))))) 4.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.036 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.036 * [taylor]: Taking taylor expansion of 0.5 in n 4.036 * [backup-simplify]: Simplify 0.5 into 0.5 4.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.036 * [taylor]: Taking taylor expansion of 1.0 in n 4.036 * [backup-simplify]: Simplify 1.0 into 1.0 4.036 * [taylor]: Taking taylor expansion of k in n 4.036 * [backup-simplify]: Simplify k into k 4.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.036 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.036 * [taylor]: Taking taylor expansion of 2.0 in n 4.036 * [backup-simplify]: Simplify 2.0 into 2.0 4.036 * [taylor]: Taking taylor expansion of (* n PI) in n 4.036 * [taylor]: Taking taylor expansion of n in n 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of PI in n 4.036 * [backup-simplify]: Simplify PI into PI 4.036 * [backup-simplify]: Simplify (* 0 PI) into 0 4.037 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.039 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.040 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.041 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.041 * [backup-simplify]: Simplify (- k) into (- k) 4.041 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.042 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.043 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.044 * [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)))) 4.045 * [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))))) 4.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.045 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.045 * [taylor]: Taking taylor expansion of 0.5 in k 4.046 * [backup-simplify]: Simplify 0.5 into 0.5 4.046 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.046 * [taylor]: Taking taylor expansion of 1.0 in k 4.046 * [backup-simplify]: Simplify 1.0 into 1.0 4.046 * [taylor]: Taking taylor expansion of k in k 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.046 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.046 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.046 * [taylor]: Taking taylor expansion of 2.0 in k 4.046 * [backup-simplify]: Simplify 2.0 into 2.0 4.046 * [taylor]: Taking taylor expansion of PI in k 4.046 * [backup-simplify]: Simplify PI into PI 4.046 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.047 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.047 * [taylor]: Taking taylor expansion of (log n) in k 4.047 * [taylor]: Taking taylor expansion of n in k 4.047 * [backup-simplify]: Simplify n into n 4.048 * [backup-simplify]: Simplify (log n) into (log n) 4.048 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.049 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.050 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.052 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.053 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.054 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.061 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.062 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.064 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.064 * [taylor]: Taking taylor expansion of 0 in k 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.067 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (- 1) into -1 4.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.071 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.073 * [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)))) 4.076 * [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)))))) 4.079 * [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)))))) 4.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.086 * [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 4.087 * [backup-simplify]: Simplify (- 0) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.090 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.091 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.094 * [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 4.094 * [taylor]: Taking taylor expansion of 0 in k 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.099 * [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 4.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.102 * [backup-simplify]: Simplify (+ 0 0) into 0 4.102 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.112 * [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)))))) 4.118 * [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)))))) 4.129 * [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)))))) 4.131 * [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)))) 4.131 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.131 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.131 * [taylor]: Taking taylor expansion of 0.5 in k 4.131 * [backup-simplify]: Simplify 0.5 into 0.5 4.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [backup-simplify]: Simplify 1.0 into 1.0 4.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.131 * [taylor]: Taking taylor expansion of k in k 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.132 * [taylor]: Taking taylor expansion of 2.0 in k 4.132 * [backup-simplify]: Simplify 2.0 into 2.0 4.132 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.132 * [taylor]: Taking taylor expansion of PI in k 4.132 * [backup-simplify]: Simplify PI into PI 4.132 * [taylor]: Taking taylor expansion of n in k 4.132 * [backup-simplify]: Simplify n into n 4.132 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.132 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.132 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.133 * [backup-simplify]: Simplify (- 1) into -1 4.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.133 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.134 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.134 * [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))))) 4.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.134 * [taylor]: Taking taylor expansion of 0.5 in n 4.134 * [backup-simplify]: Simplify 0.5 into 0.5 4.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.134 * [taylor]: Taking taylor expansion of 1.0 in n 4.134 * [backup-simplify]: Simplify 1.0 into 1.0 4.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.134 * [taylor]: Taking taylor expansion of k in n 4.134 * [backup-simplify]: Simplify k into k 4.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.135 * [taylor]: Taking taylor expansion of 2.0 in n 4.135 * [backup-simplify]: Simplify 2.0 into 2.0 4.135 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.135 * [taylor]: Taking taylor expansion of PI in n 4.135 * [backup-simplify]: Simplify PI into PI 4.135 * [taylor]: Taking taylor expansion of n in n 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ PI 1) into PI 4.136 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.137 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.137 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.137 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.137 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.140 * [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)))) 4.141 * [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))))) 4.141 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.141 * [taylor]: Taking taylor expansion of 0.5 in n 4.141 * [backup-simplify]: Simplify 0.5 into 0.5 4.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.141 * [taylor]: Taking taylor expansion of 1.0 in n 4.141 * [backup-simplify]: Simplify 1.0 into 1.0 4.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.141 * [taylor]: Taking taylor expansion of k in n 4.141 * [backup-simplify]: Simplify k into k 4.141 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.142 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.142 * [taylor]: Taking taylor expansion of 2.0 in n 4.142 * [backup-simplify]: Simplify 2.0 into 2.0 4.142 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.142 * [taylor]: Taking taylor expansion of PI in n 4.142 * [backup-simplify]: Simplify PI into PI 4.142 * [taylor]: Taking taylor expansion of n in n 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (/ PI 1) into PI 4.143 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.144 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.144 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.144 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.144 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.147 * [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)))) 4.148 * [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))))) 4.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.148 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.148 * [taylor]: Taking taylor expansion of 0.5 in k 4.148 * [backup-simplify]: Simplify 0.5 into 0.5 4.148 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.148 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.149 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.149 * [taylor]: Taking taylor expansion of 2.0 in k 4.149 * [backup-simplify]: Simplify 2.0 into 2.0 4.149 * [taylor]: Taking taylor expansion of PI in k 4.149 * [backup-simplify]: Simplify PI into PI 4.149 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.150 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.150 * [taylor]: Taking taylor expansion of (log n) in k 4.150 * [taylor]: Taking taylor expansion of n in k 4.150 * [backup-simplify]: Simplify n into n 4.150 * [backup-simplify]: Simplify (log n) into (log n) 4.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.150 * [taylor]: Taking taylor expansion of 1.0 in k 4.151 * [backup-simplify]: Simplify 1.0 into 1.0 4.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.151 * [taylor]: Taking taylor expansion of k in k 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.152 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.153 * [backup-simplify]: Simplify (- 1) into -1 4.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.154 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.155 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.157 * [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))))) 4.158 * [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))))) 4.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.167 * [backup-simplify]: Simplify (- 0) into 0 4.168 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.171 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.173 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.173 * [taylor]: Taking taylor expansion of 0 in k 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.179 * [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 4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.180 * [backup-simplify]: Simplify (- 0) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.184 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.186 * [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 4.186 * [taylor]: Taking taylor expansion of 0 in k 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.195 * [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 4.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.199 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.201 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.204 * [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 4.204 * [taylor]: Taking taylor expansion of 0 in k 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.205 * [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)))) 4.206 * [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))) 4.206 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.206 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.206 * [taylor]: Taking taylor expansion of 0.5 in k 4.206 * [backup-simplify]: Simplify 0.5 into 0.5 4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ 1 1) into 1 4.207 * [taylor]: Taking taylor expansion of 1.0 in k 4.207 * [backup-simplify]: Simplify 1.0 into 1.0 4.207 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.207 * [taylor]: Taking taylor expansion of -2.0 in k 4.207 * [backup-simplify]: Simplify -2.0 into -2.0 4.207 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.207 * [taylor]: Taking taylor expansion of PI in k 4.207 * [backup-simplify]: Simplify PI into PI 4.207 * [taylor]: Taking taylor expansion of n in k 4.207 * [backup-simplify]: Simplify n into n 4.207 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.207 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.207 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.208 * [backup-simplify]: Simplify (+ 1 0) into 1 4.209 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.209 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.209 * [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)))))) 4.209 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.209 * [taylor]: Taking taylor expansion of 0.5 in n 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.209 * [taylor]: Taking taylor expansion of k in n 4.209 * [backup-simplify]: Simplify k into k 4.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [backup-simplify]: Simplify 1.0 into 1.0 4.209 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.210 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.210 * [taylor]: Taking taylor expansion of -2.0 in n 4.210 * [backup-simplify]: Simplify -2.0 into -2.0 4.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.210 * [taylor]: Taking taylor expansion of PI in n 4.210 * [backup-simplify]: Simplify PI into PI 4.210 * [taylor]: Taking taylor expansion of n in n 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ PI 1) into PI 4.211 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.212 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.212 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.212 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.215 * [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)))) 4.216 * [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))))) 4.216 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.216 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.216 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.216 * [taylor]: Taking taylor expansion of 0.5 in n 4.216 * [backup-simplify]: Simplify 0.5 into 0.5 4.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.216 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.216 * [taylor]: Taking taylor expansion of k in n 4.217 * [backup-simplify]: Simplify k into k 4.217 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [backup-simplify]: Simplify 1.0 into 1.0 4.217 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.217 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.217 * [taylor]: Taking taylor expansion of -2.0 in n 4.217 * [backup-simplify]: Simplify -2.0 into -2.0 4.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.217 * [backup-simplify]: Simplify PI into PI 4.217 * [taylor]: Taking taylor expansion of n in n 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ PI 1) into PI 4.218 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.219 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.219 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.219 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.221 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.222 * [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)))) 4.224 * [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))))) 4.224 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.224 * [taylor]: Taking taylor expansion of 0.5 in k 4.224 * [backup-simplify]: Simplify 0.5 into 0.5 4.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.224 * [taylor]: Taking taylor expansion of k in k 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.224 * [backup-simplify]: Simplify (/ 1 1) into 1 4.224 * [taylor]: Taking taylor expansion of 1.0 in k 4.224 * [backup-simplify]: Simplify 1.0 into 1.0 4.224 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.225 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.225 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.225 * [taylor]: Taking taylor expansion of -2.0 in k 4.225 * [backup-simplify]: Simplify -2.0 into -2.0 4.225 * [taylor]: Taking taylor expansion of PI in k 4.225 * [backup-simplify]: Simplify PI into PI 4.225 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.226 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.226 * [taylor]: Taking taylor expansion of (log n) in k 4.226 * [taylor]: Taking taylor expansion of n in k 4.226 * [backup-simplify]: Simplify n into n 4.226 * [backup-simplify]: Simplify (log n) into (log n) 4.227 * [backup-simplify]: Simplify (+ 1 0) into 1 4.227 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.228 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.229 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.231 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.232 * [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))))) 4.234 * [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))))) 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.238 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.241 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.243 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.244 * [taylor]: Taking taylor expansion of 0 in k 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.250 * [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 4.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.251 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.257 * [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 4.257 * [taylor]: Taking taylor expansion of 0 in k 4.257 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.267 * [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 4.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.273 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.276 * [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 4.276 * [taylor]: Taking taylor expansion of 0 in k 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 0 into 0 4.277 * [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)))))) 4.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.278 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.278 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.278 * [taylor]: Taking taylor expansion of 2.0 in n 4.278 * [backup-simplify]: Simplify 2.0 into 2.0 4.278 * [taylor]: Taking taylor expansion of (* n PI) in n 4.278 * [taylor]: Taking taylor expansion of n in n 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [taylor]: Taking taylor expansion of PI in n 4.278 * [backup-simplify]: Simplify PI into PI 4.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.278 * [taylor]: Taking taylor expansion of 2.0 in n 4.278 * [backup-simplify]: Simplify 2.0 into 2.0 4.278 * [taylor]: Taking taylor expansion of (* n PI) in n 4.278 * [taylor]: Taking taylor expansion of n in n 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.278 * [taylor]: Taking taylor expansion of PI in n 4.278 * [backup-simplify]: Simplify PI into PI 4.279 * [backup-simplify]: Simplify (* 0 PI) into 0 4.279 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.283 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.283 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.302 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.303 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.303 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.303 * [taylor]: Taking taylor expansion of 2.0 in n 4.303 * [backup-simplify]: Simplify 2.0 into 2.0 4.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.304 * [taylor]: Taking taylor expansion of PI in n 4.304 * [backup-simplify]: Simplify PI into PI 4.304 * [taylor]: Taking taylor expansion of n in n 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify (/ PI 1) into PI 4.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.304 * [taylor]: Taking taylor expansion of 2.0 in n 4.304 * [backup-simplify]: Simplify 2.0 into 2.0 4.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.304 * [taylor]: Taking taylor expansion of PI in n 4.304 * [backup-simplify]: Simplify PI into PI 4.304 * [taylor]: Taking taylor expansion of n in n 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (/ PI 1) into PI 4.306 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.306 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.319 * [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 4.321 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.322 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.322 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.322 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.322 * [taylor]: Taking taylor expansion of -2.0 in n 4.322 * [backup-simplify]: Simplify -2.0 into -2.0 4.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.322 * [taylor]: Taking taylor expansion of PI in n 4.322 * [backup-simplify]: Simplify PI into PI 4.322 * [taylor]: Taking taylor expansion of n in n 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ PI 1) into PI 4.323 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.323 * [taylor]: Taking taylor expansion of -2.0 in n 4.323 * [backup-simplify]: Simplify -2.0 into -2.0 4.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.323 * [taylor]: Taking taylor expansion of PI in n 4.323 * [backup-simplify]: Simplify PI into PI 4.323 * [taylor]: Taking taylor expansion of n in n 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (/ PI 1) into PI 4.324 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.325 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [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 4.345 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.346 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.346 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.346 * [taylor]: Taking taylor expansion of 1.0 in k 4.346 * [backup-simplify]: Simplify 1.0 into 1.0 4.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.346 * [taylor]: Taking taylor expansion of k in k 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (sqrt 0) into 0 4.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [backup-simplify]: Simplify 1.0 into 1.0 4.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.349 * [taylor]: Taking taylor expansion of k in k 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ 1 1) into 1 4.350 * [backup-simplify]: Simplify (sqrt 0) into 0 4.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.354 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.360 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.360 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.368 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.368 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.370 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.370 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.370 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.370 * [taylor]: Taking taylor expansion of 1.0 in k 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.370 * [taylor]: Taking taylor expansion of k in k 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (sqrt 0) into 0 4.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.372 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.372 * [taylor]: Taking taylor expansion of 1.0 in k 4.372 * [backup-simplify]: Simplify 1.0 into 1.0 4.372 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.372 * [taylor]: Taking taylor expansion of k in k 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (sqrt 0) into 0 4.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.374 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.375 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.377 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.382 * [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)))))))) 4.383 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.383 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.383 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.383 * [taylor]: Taking taylor expansion of 1.0 in k 4.383 * [backup-simplify]: Simplify 1.0 into 1.0 4.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.383 * [taylor]: Taking taylor expansion of -1 in k 4.383 * [backup-simplify]: Simplify -1 into -1 4.383 * [taylor]: Taking taylor expansion of k in k 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (/ -1 1) into -1 4.383 * [backup-simplify]: Simplify (sqrt 0) into 0 4.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.384 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.384 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.384 * [taylor]: Taking taylor expansion of 1.0 in k 4.384 * [backup-simplify]: Simplify 1.0 into 1.0 4.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.384 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.384 * [taylor]: Taking taylor expansion of -1 in k 4.384 * [backup-simplify]: Simplify -1 into -1 4.385 * [taylor]: Taking taylor expansion of k in k 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ -1 1) into -1 4.385 * [backup-simplify]: Simplify (sqrt 0) into 0 4.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.386 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.390 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.390 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.395 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.395 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.396 * [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))))) 4.396 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.397 * [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))))) 4.397 * [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 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [backup-simplify]: Simplify 1.0 into 1.0 4.397 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.397 * [taylor]: Taking taylor expansion of k in n 4.397 * [backup-simplify]: Simplify k into k 4.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.397 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.397 * [taylor]: Taking taylor expansion of 0.5 in n 4.397 * [backup-simplify]: Simplify 0.5 into 0.5 4.397 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [backup-simplify]: Simplify 1.0 into 1.0 4.397 * [taylor]: Taking taylor expansion of k in n 4.397 * [backup-simplify]: Simplify k into k 4.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.397 * [taylor]: Taking taylor expansion of 2.0 in n 4.397 * [backup-simplify]: Simplify 2.0 into 2.0 4.397 * [taylor]: Taking taylor expansion of (* n PI) in n 4.397 * [taylor]: Taking taylor expansion of n in n 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [taylor]: Taking taylor expansion of PI in n 4.397 * [backup-simplify]: Simplify PI into PI 4.398 * [backup-simplify]: Simplify (* 0 PI) into 0 4.398 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.400 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.401 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.401 * [backup-simplify]: Simplify (- k) into (- k) 4.401 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.401 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.403 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.404 * [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)))) 4.405 * [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))))) 4.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.405 * [taylor]: Taking taylor expansion of 1.0 in k 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.405 * [taylor]: Taking taylor expansion of k in k 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [backup-simplify]: Simplify (sqrt 0) into 0 4.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.408 * [taylor]: Taking taylor expansion of 0.5 in k 4.408 * [backup-simplify]: Simplify 0.5 into 0.5 4.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.408 * [taylor]: Taking taylor expansion of 1.0 in k 4.408 * [backup-simplify]: Simplify 1.0 into 1.0 4.408 * [taylor]: Taking taylor expansion of k in k 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.408 * [taylor]: Taking taylor expansion of 2.0 in k 4.408 * [backup-simplify]: Simplify 2.0 into 2.0 4.408 * [taylor]: Taking taylor expansion of (* n PI) in k 4.408 * [taylor]: Taking taylor expansion of n in k 4.408 * [backup-simplify]: Simplify n into n 4.408 * [taylor]: Taking taylor expansion of PI in k 4.408 * [backup-simplify]: Simplify PI into PI 4.408 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.408 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.409 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.410 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.410 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.410 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.410 * [taylor]: Taking taylor expansion of 1.0 in k 4.410 * [backup-simplify]: Simplify 1.0 into 1.0 4.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.410 * [taylor]: Taking taylor expansion of k in k 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (/ 1 1) into 1 4.411 * [backup-simplify]: Simplify (sqrt 0) into 0 4.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.413 * [taylor]: Taking taylor expansion of 0.5 in k 4.413 * [backup-simplify]: Simplify 0.5 into 0.5 4.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.413 * [taylor]: Taking taylor expansion of 1.0 in k 4.413 * [backup-simplify]: Simplify 1.0 into 1.0 4.413 * [taylor]: Taking taylor expansion of k in k 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.413 * [taylor]: Taking taylor expansion of 2.0 in k 4.413 * [backup-simplify]: Simplify 2.0 into 2.0 4.413 * [taylor]: Taking taylor expansion of (* n PI) in k 4.413 * [taylor]: Taking taylor expansion of n in k 4.413 * [backup-simplify]: Simplify n into n 4.413 * [taylor]: Taking taylor expansion of PI in k 4.413 * [backup-simplify]: Simplify PI into PI 4.413 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.413 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.413 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.414 * [backup-simplify]: Simplify (- 0) into 0 4.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.415 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.415 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.415 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.415 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.416 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.416 * [taylor]: Taking taylor expansion of 0 in n 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.417 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.418 * [backup-simplify]: Simplify (- 1) into -1 4.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.420 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.421 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.422 * [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))) 4.424 * [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))) 4.426 * [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))) 4.426 * [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 4.426 * [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 4.426 * [taylor]: Taking taylor expansion of +nan.0 in n 4.426 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.426 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.426 * [taylor]: Taking taylor expansion of 0.5 in n 4.426 * [backup-simplify]: Simplify 0.5 into 0.5 4.426 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.426 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.426 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.426 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.426 * [taylor]: Taking taylor expansion of 1.0 in n 4.426 * [backup-simplify]: Simplify 1.0 into 1.0 4.426 * [taylor]: Taking taylor expansion of (log PI) in n 4.426 * [taylor]: Taking taylor expansion of PI in n 4.426 * [backup-simplify]: Simplify PI into PI 4.427 * [backup-simplify]: Simplify (log PI) into (log PI) 4.428 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.429 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.429 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.429 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.430 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.430 * [taylor]: Taking taylor expansion of 1.0 in n 4.430 * [backup-simplify]: Simplify 1.0 into 1.0 4.430 * [taylor]: Taking taylor expansion of (log n) in n 4.430 * [taylor]: Taking taylor expansion of n in n 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 1 into 1 4.430 * [backup-simplify]: Simplify (log 1) into 0 4.431 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.431 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.431 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.431 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [backup-simplify]: Simplify 1.0 into 1.0 4.431 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.431 * [taylor]: Taking taylor expansion of 2.0 in n 4.431 * [backup-simplify]: Simplify 2.0 into 2.0 4.432 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.432 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.433 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.434 * [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) 4.434 * [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) 4.435 * [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)) 4.436 * [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))) 4.437 * [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) 4.438 * [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)) 4.439 * [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))) 4.440 * [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))) 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.442 * [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 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.444 * [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))) 4.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.447 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.449 * [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)))))))) 4.456 * [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)))))))) 4.456 * [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 4.456 * [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 4.456 * [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 4.456 * [taylor]: Taking taylor expansion of +nan.0 in n 4.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.456 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.456 * [taylor]: Taking taylor expansion of 0.5 in n 4.456 * [backup-simplify]: Simplify 0.5 into 0.5 4.456 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.456 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [taylor]: Taking taylor expansion of (log PI) in n 4.456 * [taylor]: Taking taylor expansion of PI in n 4.456 * [backup-simplify]: Simplify PI into PI 4.457 * [backup-simplify]: Simplify (log PI) into (log PI) 4.457 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.458 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.458 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.458 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.458 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.458 * [taylor]: Taking taylor expansion of 1.0 in n 4.458 * [backup-simplify]: Simplify 1.0 into 1.0 4.458 * [taylor]: Taking taylor expansion of (log n) in n 4.458 * [taylor]: Taking taylor expansion of n in n 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (log 1) into 0 4.459 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.459 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.459 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.459 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.459 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.459 * [taylor]: Taking taylor expansion of 1.0 in n 4.459 * [backup-simplify]: Simplify 1.0 into 1.0 4.459 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.459 * [taylor]: Taking taylor expansion of 2.0 in n 4.459 * [backup-simplify]: Simplify 2.0 into 2.0 4.459 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.460 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.461 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.462 * [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) 4.464 * [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) 4.465 * [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)) 4.466 * [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))) 4.467 * [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) 4.467 * [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 4.467 * [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 4.467 * [taylor]: Taking taylor expansion of +nan.0 in n 4.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.467 * [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 4.468 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.468 * [taylor]: Taking taylor expansion of 0.5 in n 4.468 * [backup-simplify]: Simplify 0.5 into 0.5 4.468 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.468 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.468 * [taylor]: Taking taylor expansion of 1.0 in n 4.468 * [backup-simplify]: Simplify 1.0 into 1.0 4.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.468 * [taylor]: Taking taylor expansion of 2.0 in n 4.468 * [backup-simplify]: Simplify 2.0 into 2.0 4.468 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.469 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.470 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.471 * [taylor]: Taking taylor expansion of 1.0 in n 4.471 * [backup-simplify]: Simplify 1.0 into 1.0 4.471 * [taylor]: Taking taylor expansion of (log PI) in n 4.471 * [taylor]: Taking taylor expansion of PI in n 4.471 * [backup-simplify]: Simplify PI into PI 4.471 * [backup-simplify]: Simplify (log PI) into (log PI) 4.472 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.473 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.474 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [backup-simplify]: Simplify 1.0 into 1.0 4.474 * [taylor]: Taking taylor expansion of (log n) in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (log 1) into 0 4.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.475 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.475 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.475 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.476 * [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) 4.478 * [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)) 4.479 * [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))) 4.480 * [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) 4.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.480 * [taylor]: Taking taylor expansion of 2.0 in n 4.480 * [backup-simplify]: Simplify 2.0 into 2.0 4.480 * [taylor]: Taking taylor expansion of (* n PI) in n 4.480 * [taylor]: Taking taylor expansion of n in n 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [taylor]: Taking taylor expansion of PI in n 4.480 * [backup-simplify]: Simplify PI into PI 4.481 * [backup-simplify]: Simplify (* 0 PI) into 0 4.481 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.484 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.485 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.486 * [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)) 4.488 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.490 * [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)) 4.492 * [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))) 4.495 * [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)))))) 4.502 * [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)))))))) 4.509 * [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)))))))) 4.514 * [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)))))))) 4.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.517 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.518 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.519 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.522 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.523 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.524 * [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 4.525 * [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 4.527 * [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 4.528 * [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 4.528 * [backup-simplify]: Simplify (- 0) into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.531 * [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 4.531 * [backup-simplify]: Simplify (- 0) into 0 4.532 * [backup-simplify]: Simplify (+ 0 0) into 0 4.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.534 * [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))) 4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.540 * [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)))))))) 4.547 * [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)))))))) 4.547 * [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 4.547 * [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 4.547 * [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 4.547 * [taylor]: Taking taylor expansion of +nan.0 in n 4.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.547 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.547 * [taylor]: Taking taylor expansion of 0.5 in n 4.547 * [backup-simplify]: Simplify 0.5 into 0.5 4.547 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.547 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.547 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.547 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.547 * [taylor]: Taking taylor expansion of 1.0 in n 4.547 * [backup-simplify]: Simplify 1.0 into 1.0 4.547 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.547 * [taylor]: Taking taylor expansion of 2.0 in n 4.547 * [backup-simplify]: Simplify 2.0 into 2.0 4.548 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.548 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.550 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.550 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.550 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.550 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.550 * [taylor]: Taking taylor expansion of 1.0 in n 4.550 * [backup-simplify]: Simplify 1.0 into 1.0 4.550 * [taylor]: Taking taylor expansion of (log n) in n 4.550 * [taylor]: Taking taylor expansion of n in n 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (log 1) into 0 4.551 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.551 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.551 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.551 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.551 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.551 * [taylor]: Taking taylor expansion of 1.0 in n 4.551 * [backup-simplify]: Simplify 1.0 into 1.0 4.551 * [taylor]: Taking taylor expansion of (log PI) in n 4.551 * [taylor]: Taking taylor expansion of PI in n 4.551 * [backup-simplify]: Simplify PI into PI 4.552 * [backup-simplify]: Simplify (log PI) into (log PI) 4.553 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.555 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.555 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.557 * [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) 4.558 * [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)) 4.559 * [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))) 4.561 * [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) 4.561 * [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 4.561 * [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 4.561 * [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 4.561 * [taylor]: Taking taylor expansion of +nan.0 in n 4.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.561 * [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 4.562 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.562 * [taylor]: Taking taylor expansion of 0.5 in n 4.562 * [backup-simplify]: Simplify 0.5 into 0.5 4.562 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.562 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.562 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.562 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.562 * [taylor]: Taking taylor expansion of 1.0 in n 4.562 * [backup-simplify]: Simplify 1.0 into 1.0 4.562 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.562 * [taylor]: Taking taylor expansion of 2.0 in n 4.562 * [backup-simplify]: Simplify 2.0 into 2.0 4.562 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.563 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.565 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.565 * [taylor]: Taking taylor expansion of 1.0 in n 4.565 * [backup-simplify]: Simplify 1.0 into 1.0 4.565 * [taylor]: Taking taylor expansion of (log PI) in n 4.565 * [taylor]: Taking taylor expansion of PI in n 4.565 * [backup-simplify]: Simplify PI into PI 4.566 * [backup-simplify]: Simplify (log PI) into (log PI) 4.567 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.569 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.569 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.569 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.569 * [taylor]: Taking taylor expansion of 1.0 in n 4.569 * [backup-simplify]: Simplify 1.0 into 1.0 4.569 * [taylor]: Taking taylor expansion of (log n) in n 4.569 * [taylor]: Taking taylor expansion of n in n 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (log 1) into 0 4.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.570 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.570 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.571 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.573 * [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) 4.574 * [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)) 4.575 * [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))) 4.582 * [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) 4.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.582 * [taylor]: Taking taylor expansion of 2.0 in n 4.582 * [backup-simplify]: Simplify 2.0 into 2.0 4.582 * [taylor]: Taking taylor expansion of (* n PI) in n 4.582 * [taylor]: Taking taylor expansion of n in n 4.582 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [taylor]: Taking taylor expansion of PI in n 4.583 * [backup-simplify]: Simplify PI into PI 4.583 * [backup-simplify]: Simplify (* 0 PI) into 0 4.584 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.587 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.588 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.588 * [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 4.588 * [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 4.588 * [taylor]: Taking taylor expansion of +nan.0 in n 4.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.588 * [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 4.588 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.589 * [taylor]: Taking taylor expansion of 0.5 in n 4.589 * [backup-simplify]: Simplify 0.5 into 0.5 4.589 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.589 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.589 * [taylor]: Taking taylor expansion of 1.0 in n 4.589 * [backup-simplify]: Simplify 1.0 into 1.0 4.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.589 * [taylor]: Taking taylor expansion of 2.0 in n 4.589 * [backup-simplify]: Simplify 2.0 into 2.0 4.589 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.590 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.592 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.592 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.592 * [taylor]: Taking taylor expansion of 1.0 in n 4.592 * [backup-simplify]: Simplify 1.0 into 1.0 4.592 * [taylor]: Taking taylor expansion of (log PI) in n 4.592 * [taylor]: Taking taylor expansion of PI in n 4.592 * [backup-simplify]: Simplify PI into PI 4.592 * [backup-simplify]: Simplify (log PI) into (log PI) 4.593 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.594 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.594 * [taylor]: Taking taylor expansion of 1.0 in n 4.594 * [backup-simplify]: Simplify 1.0 into 1.0 4.594 * [taylor]: Taking taylor expansion of (log n) in n 4.594 * [taylor]: Taking taylor expansion of n in n 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (log 1) into 0 4.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.595 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.595 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.595 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.596 * [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) 4.597 * [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)) 4.598 * [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))) 4.599 * [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) 4.599 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.599 * [taylor]: Taking taylor expansion of 2.0 in n 4.599 * [backup-simplify]: Simplify 2.0 into 2.0 4.599 * [taylor]: Taking taylor expansion of (* n PI) in n 4.599 * [taylor]: Taking taylor expansion of n in n 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [taylor]: Taking taylor expansion of PI in n 4.599 * [backup-simplify]: Simplify PI into PI 4.599 * [backup-simplify]: Simplify (* 0 PI) into 0 4.599 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.601 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.602 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.603 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.604 * [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)) 4.605 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.606 * [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)) 4.608 * [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))) 4.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.611 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.613 * [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)) 4.615 * [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))) 4.616 * [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)))))))) 4.623 * [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)))))))))))) 4.635 * [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)))))))))))) 4.651 * [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)))))))))))))) 4.669 * [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)))))))))))))) 4.686 * [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)))))))))))))) 4.718 * [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)))))))))))))))))))))) 4.720 * [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)))))) 4.720 * [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 4.720 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.720 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [backup-simplify]: Simplify 1.0 into 1.0 4.720 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.720 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.720 * [taylor]: Taking taylor expansion of k in n 4.720 * [backup-simplify]: Simplify k into k 4.720 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.720 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.720 * [taylor]: Taking taylor expansion of 0.5 in n 4.720 * [backup-simplify]: Simplify 0.5 into 0.5 4.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.720 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [backup-simplify]: Simplify 1.0 into 1.0 4.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.721 * [taylor]: Taking taylor expansion of k in n 4.721 * [backup-simplify]: Simplify k into k 4.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.721 * [taylor]: Taking taylor expansion of 2.0 in n 4.721 * [backup-simplify]: Simplify 2.0 into 2.0 4.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.721 * [taylor]: Taking taylor expansion of PI in n 4.721 * [backup-simplify]: Simplify PI into PI 4.721 * [taylor]: Taking taylor expansion of n in n 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ PI 1) into PI 4.722 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.723 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.724 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.724 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.724 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.727 * [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)))) 4.728 * [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))))) 4.728 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.728 * [taylor]: Taking taylor expansion of 1.0 in k 4.728 * [backup-simplify]: Simplify 1.0 into 1.0 4.728 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.728 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.728 * [taylor]: Taking taylor expansion of k in k 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (sqrt 0) into 0 4.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.730 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.731 * [taylor]: Taking taylor expansion of 0.5 in k 4.731 * [backup-simplify]: Simplify 0.5 into 0.5 4.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.731 * [taylor]: Taking taylor expansion of 1.0 in k 4.731 * [backup-simplify]: Simplify 1.0 into 1.0 4.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.731 * [taylor]: Taking taylor expansion of k in k 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.731 * [taylor]: Taking taylor expansion of 2.0 in k 4.731 * [backup-simplify]: Simplify 2.0 into 2.0 4.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.731 * [taylor]: Taking taylor expansion of PI in k 4.731 * [backup-simplify]: Simplify PI into PI 4.731 * [taylor]: Taking taylor expansion of n in k 4.731 * [backup-simplify]: Simplify n into n 4.732 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.732 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.732 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.732 * [backup-simplify]: Simplify (- 1) into -1 4.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.733 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.733 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.734 * [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))))) 4.734 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.734 * [taylor]: Taking taylor expansion of 1.0 in k 4.734 * [backup-simplify]: Simplify 1.0 into 1.0 4.734 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.734 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.734 * [taylor]: Taking taylor expansion of k in k 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (sqrt 0) into 0 4.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.736 * [taylor]: Taking taylor expansion of 0.5 in k 4.736 * [backup-simplify]: Simplify 0.5 into 0.5 4.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.736 * [taylor]: Taking taylor expansion of 1.0 in k 4.736 * [backup-simplify]: Simplify 1.0 into 1.0 4.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.736 * [taylor]: Taking taylor expansion of k in k 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ 1 1) into 1 4.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.737 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.737 * [taylor]: Taking taylor expansion of 2.0 in k 4.737 * [backup-simplify]: Simplify 2.0 into 2.0 4.737 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.737 * [taylor]: Taking taylor expansion of PI in k 4.737 * [backup-simplify]: Simplify PI into PI 4.737 * [taylor]: Taking taylor expansion of n in k 4.737 * [backup-simplify]: Simplify n into n 4.737 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.737 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.737 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.738 * [backup-simplify]: Simplify (- 1) into -1 4.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.739 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.739 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.739 * [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))))) 4.740 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.740 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.740 * [taylor]: Taking taylor expansion of 0 in n 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.741 * [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))))))) 4.742 * [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))))))) 4.742 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.742 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.742 * [taylor]: Taking taylor expansion of +nan.0 in n 4.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.742 * [taylor]: Taking taylor expansion of 0.5 in n 4.742 * [backup-simplify]: Simplify 0.5 into 0.5 4.742 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.742 * [taylor]: Taking taylor expansion of 2.0 in n 4.742 * [backup-simplify]: Simplify 2.0 into 2.0 4.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.742 * [taylor]: Taking taylor expansion of PI in n 4.742 * [backup-simplify]: Simplify PI into PI 4.742 * [taylor]: Taking taylor expansion of n in n 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (/ PI 1) into PI 4.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.745 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.745 * [taylor]: Taking taylor expansion of 1.0 in n 4.745 * [backup-simplify]: Simplify 1.0 into 1.0 4.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.745 * [taylor]: Taking taylor expansion of k in n 4.745 * [backup-simplify]: Simplify k into k 4.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.747 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.747 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.748 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.750 * [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)))) 4.751 * [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))))) 4.752 * [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)))))) 4.754 * [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))))))) 4.755 * [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))))))) 4.755 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.760 * [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))))))) 4.760 * [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))))))) 4.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.761 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.761 * [taylor]: Taking taylor expansion of +nan.0 in n 4.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.761 * [taylor]: Taking taylor expansion of 0.5 in n 4.761 * [backup-simplify]: Simplify 0.5 into 0.5 4.761 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.761 * [taylor]: Taking taylor expansion of 2.0 in n 4.761 * [backup-simplify]: Simplify 2.0 into 2.0 4.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.761 * [taylor]: Taking taylor expansion of PI in n 4.761 * [backup-simplify]: Simplify PI into PI 4.761 * [taylor]: Taking taylor expansion of n in n 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (/ PI 1) into PI 4.761 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.762 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.762 * [taylor]: Taking taylor expansion of 1.0 in n 4.762 * [backup-simplify]: Simplify 1.0 into 1.0 4.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.762 * [taylor]: Taking taylor expansion of k in n 4.762 * [backup-simplify]: Simplify k into k 4.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.763 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.763 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.764 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.765 * [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)))) 4.766 * [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))))) 4.766 * [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)))))) 4.767 * [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))))))) 4.768 * [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))))))) 4.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.769 * [backup-simplify]: Simplify (- 0) into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.773 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.776 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.776 * [backup-simplify]: Simplify (- 0) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.779 * [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))))))) 4.780 * [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))))))) 4.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.780 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.780 * [taylor]: Taking taylor expansion of +nan.0 in n 4.780 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.780 * [taylor]: Taking taylor expansion of 0.5 in n 4.780 * [backup-simplify]: Simplify 0.5 into 0.5 4.780 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.780 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.780 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.780 * [taylor]: Taking taylor expansion of 2.0 in n 4.781 * [backup-simplify]: Simplify 2.0 into 2.0 4.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.781 * [taylor]: Taking taylor expansion of PI in n 4.781 * [backup-simplify]: Simplify PI into PI 4.781 * [taylor]: Taking taylor expansion of n in n 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (/ PI 1) into PI 4.781 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.782 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.782 * [taylor]: Taking taylor expansion of 1.0 in n 4.782 * [backup-simplify]: Simplify 1.0 into 1.0 4.782 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.782 * [taylor]: Taking taylor expansion of k in n 4.782 * [backup-simplify]: Simplify k into k 4.782 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.783 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.783 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.784 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.785 * [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)))) 4.785 * [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))))) 4.786 * [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)))))) 4.787 * [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))))))) 4.788 * [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))))))) 4.791 * [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)))))))) 4.791 * [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)))) 4.791 * [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 4.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.791 * [taylor]: Taking taylor expansion of 1.0 in n 4.791 * [backup-simplify]: Simplify 1.0 into 1.0 4.791 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.791 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.791 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.791 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.792 * [taylor]: Taking taylor expansion of 0.5 in n 4.792 * [backup-simplify]: Simplify 0.5 into 0.5 4.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.792 * [taylor]: Taking taylor expansion of k in n 4.792 * [backup-simplify]: Simplify k into k 4.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.792 * [taylor]: Taking taylor expansion of 1.0 in n 4.792 * [backup-simplify]: Simplify 1.0 into 1.0 4.792 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.792 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.792 * [taylor]: Taking taylor expansion of -2.0 in n 4.792 * [backup-simplify]: Simplify -2.0 into -2.0 4.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.792 * [taylor]: Taking taylor expansion of PI in n 4.792 * [backup-simplify]: Simplify PI into PI 4.792 * [taylor]: Taking taylor expansion of n in n 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [backup-simplify]: Simplify (/ PI 1) into PI 4.793 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.794 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.794 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.794 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.797 * [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)))) 4.798 * [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))))) 4.798 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.798 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.798 * [taylor]: Taking taylor expansion of -1 in n 4.798 * [backup-simplify]: Simplify -1 into -1 4.798 * [taylor]: Taking taylor expansion of k in n 4.798 * [backup-simplify]: Simplify k into k 4.798 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.799 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.799 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.800 * [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))) 4.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.800 * [taylor]: Taking taylor expansion of 1.0 in k 4.800 * [backup-simplify]: Simplify 1.0 into 1.0 4.800 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.800 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.801 * [taylor]: Taking taylor expansion of 0.5 in k 4.801 * [backup-simplify]: Simplify 0.5 into 0.5 4.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.801 * [taylor]: Taking taylor expansion of k in k 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.801 * [backup-simplify]: Simplify (/ 1 1) into 1 4.801 * [taylor]: Taking taylor expansion of 1.0 in k 4.801 * [backup-simplify]: Simplify 1.0 into 1.0 4.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.801 * [taylor]: Taking taylor expansion of -2.0 in k 4.801 * [backup-simplify]: Simplify -2.0 into -2.0 4.801 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.801 * [taylor]: Taking taylor expansion of PI in k 4.802 * [backup-simplify]: Simplify PI into PI 4.802 * [taylor]: Taking taylor expansion of n in k 4.802 * [backup-simplify]: Simplify n into n 4.802 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.802 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.802 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.802 * [backup-simplify]: Simplify (+ 1 0) into 1 4.803 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.803 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.803 * [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)))))) 4.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.803 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.803 * [taylor]: Taking taylor expansion of -1 in k 4.803 * [backup-simplify]: Simplify -1 into -1 4.803 * [taylor]: Taking taylor expansion of k in k 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (/ -1 1) into -1 4.804 * [backup-simplify]: Simplify (sqrt 0) into 0 4.806 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.806 * [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))))))) 4.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.806 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.806 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.807 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.807 * [taylor]: Taking taylor expansion of 0.5 in k 4.807 * [backup-simplify]: Simplify 0.5 into 0.5 4.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.807 * [taylor]: Taking taylor expansion of k in k 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (/ 1 1) into 1 4.807 * [taylor]: Taking taylor expansion of 1.0 in k 4.807 * [backup-simplify]: Simplify 1.0 into 1.0 4.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.807 * [taylor]: Taking taylor expansion of -2.0 in k 4.807 * [backup-simplify]: Simplify -2.0 into -2.0 4.807 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.807 * [taylor]: Taking taylor expansion of PI in k 4.807 * [backup-simplify]: Simplify PI into PI 4.807 * [taylor]: Taking taylor expansion of n in k 4.808 * [backup-simplify]: Simplify n into n 4.808 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.808 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.808 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.808 * [backup-simplify]: Simplify (+ 1 0) into 1 4.809 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.809 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.809 * [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)))))) 4.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.809 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.809 * [taylor]: Taking taylor expansion of -1 in k 4.809 * [backup-simplify]: Simplify -1 into -1 4.809 * [taylor]: Taking taylor expansion of k in k 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (/ -1 1) into -1 4.810 * [backup-simplify]: Simplify (sqrt 0) into 0 4.812 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.812 * [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))))))) 4.812 * [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))))))) 4.812 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.813 * [taylor]: Taking taylor expansion of +nan.0 in n 4.813 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.813 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.813 * [taylor]: Taking taylor expansion of 0.5 in n 4.813 * [backup-simplify]: Simplify 0.5 into 0.5 4.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.813 * [taylor]: Taking taylor expansion of k in n 4.813 * [backup-simplify]: Simplify k into k 4.813 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.813 * [taylor]: Taking taylor expansion of 1.0 in n 4.813 * [backup-simplify]: Simplify 1.0 into 1.0 4.813 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.813 * [taylor]: Taking taylor expansion of -2.0 in n 4.813 * [backup-simplify]: Simplify -2.0 into -2.0 4.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.813 * [taylor]: Taking taylor expansion of PI in n 4.813 * [backup-simplify]: Simplify PI into PI 4.813 * [taylor]: Taking taylor expansion of n in n 4.813 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (/ PI 1) into PI 4.815 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.816 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.819 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.820 * [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)))) 4.821 * [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))))) 4.822 * [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)))))) 4.823 * [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)))))) 4.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.826 * [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)))))))) 4.826 * [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)))))))) 4.826 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.826 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.827 * [taylor]: Taking taylor expansion of +nan.0 in n 4.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.827 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.827 * [taylor]: Taking taylor expansion of 0.5 in n 4.827 * [backup-simplify]: Simplify 0.5 into 0.5 4.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.827 * [taylor]: Taking taylor expansion of k in n 4.827 * [backup-simplify]: Simplify k into k 4.827 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.827 * [taylor]: Taking taylor expansion of 1.0 in n 4.827 * [backup-simplify]: Simplify 1.0 into 1.0 4.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.827 * [taylor]: Taking taylor expansion of -2.0 in n 4.827 * [backup-simplify]: Simplify -2.0 into -2.0 4.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.827 * [taylor]: Taking taylor expansion of PI in n 4.827 * [backup-simplify]: Simplify PI into PI 4.827 * [taylor]: Taking taylor expansion of n in n 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (/ PI 1) into PI 4.828 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.828 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.828 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.830 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.831 * [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)))) 4.831 * [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))))) 4.832 * [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)))))) 4.833 * [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))))))) 4.834 * [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))))))) 4.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.842 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.844 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.853 * [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)))))))) 4.854 * [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)))))))) 4.854 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.854 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.854 * [taylor]: Taking taylor expansion of +nan.0 in n 4.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.854 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.854 * [taylor]: Taking taylor expansion of 0.5 in n 4.854 * [backup-simplify]: Simplify 0.5 into 0.5 4.854 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.854 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.854 * [taylor]: Taking taylor expansion of k in n 4.854 * [backup-simplify]: Simplify k into k 4.854 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.854 * [taylor]: Taking taylor expansion of 1.0 in n 4.854 * [backup-simplify]: Simplify 1.0 into 1.0 4.854 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.854 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.854 * [taylor]: Taking taylor expansion of -2.0 in n 4.854 * [backup-simplify]: Simplify -2.0 into -2.0 4.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.855 * [taylor]: Taking taylor expansion of PI in n 4.855 * [backup-simplify]: Simplify PI into PI 4.855 * [taylor]: Taking taylor expansion of n in n 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (/ PI 1) into PI 4.856 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.857 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.857 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.860 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.861 * [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)))) 4.862 * [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))))) 4.864 * [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)))))) 4.865 * [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))))))) 4.866 * [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))))))) 4.871 * [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)))))))))))) 4.872 * * * [progress]: simplifying candidates 4.877 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt 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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 (/ 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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)))))))))))) 4.887 * * [simplify]: Extracting # 0 : cost 0 4.887 * * [simplify]: Extracting # 1 : cost 0 4.888 * * [simplify]: Extracting # 2 : cost 0 4.889 * * [simplify]: Extracting # 3 : cost 0 4.890 * * [simplify]: Extracting # 4 : cost 0 4.890 * * [simplify]: Extracting # 5 : cost 0 4.891 * * [simplify]: Extracting # 6 : cost 0 4.892 * * [simplify]: Extracting # 7 : cost 0 4.893 * * [simplify]: Extracting # 8 : cost 0 4.894 * * [simplify]: Extracting # 9 : cost 0 4.895 * * [simplify]: Extracting # 10 : cost 0 4.896 * * [simplify]: Extracting # 11 : cost 0 4.897 * * [simplify]: Extracting # 12 : cost 0 4.899 * * [simplify]: Extracting # 13 : cost 0 4.900 * * [simplify]: Extracting # 14 : cost 0 4.901 * * [simplify]: Extracting # 15 : cost 0 4.902 * * [simplify]: Extracting # 16 : cost 0 4.903 * * [simplify]: Extracting # 17 : cost 0 4.904 * * [simplify]: Extracting # 18 : cost 0 4.906 * * [simplify]: Extracting # 19 : cost 0 4.907 * * [simplify]: Extracting # 20 : cost 0 4.908 * * [simplify]: Extracting # 21 : cost 0 4.909 * * [simplify]: Extracting # 22 : cost 0 4.910 * * [simplify]: Extracting # 23 : cost 0 4.911 * * [simplify]: Extracting # 24 : cost 0 4.912 * * [simplify]: Extracting # 25 : cost 0 4.913 * * [simplify]: Extracting # 26 : cost 0 4.914 * * [simplify]: Extracting # 27 : cost 0 4.915 * * [simplify]: Extracting # 28 : cost 0 4.916 * * [simplify]: Extracting # 29 : cost 0 4.918 * * [simplify]: Extracting # 30 : cost 0 4.919 * * [simplify]: Extracting # 31 : cost 0 4.920 * * [simplify]: Extracting # 32 : cost 0 4.921 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.067 * * [simplify]: Extracting # 0 : cost 0 5.070 * * [simplify]: Extracting # 1 : cost 0 5.072 * * [simplify]: Extracting # 2 : cost 0 5.074 * * [simplify]: Extracting # 3 : cost 0 5.075 * * [simplify]: Extracting # 4 : cost 0 5.077 * * [simplify]: Extracting # 5 : cost 0 5.078 * * [simplify]: Extracting # 6 : cost 0 5.079 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 5.774 * * [simplify]: Extracting # 0 : cost 0 5.781 * * [simplify]: Extracting # 1 : cost 0 5.790 * * [simplify]: Extracting # 2 : cost 0 5.799 * * [simplify]: Extracting # 3 : cost 0 5.803 * * [simplify]: Extracting # 4 : cost 0 5.807 * * [simplify]: Extracting # 5 : cost 0 5.810 * * [simplify]: iteration 2 : 3137 enodes (cost 2550 ) 7.142 * * [simplify]: Extracting # 0 : cost 0 7.165 * * [simplify]: Extracting # 1 : cost 0 7.177 * * [simplify]: Extracting # 2 : cost 0 7.188 * * [simplify]: Extracting # 3 : cost 0 7.200 * * [simplify]: Extracting # 4 : cost 0 7.212 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.214 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 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)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (* (* PI n) 2.0) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (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) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (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)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (* (/ (pow 1.0 3) k) (/ (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (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)) (* (/ 1.0 (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))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 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))) (fma 0.5 (* (- k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5)))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (fma k (- +nan.0) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (fma (- (* +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) (fma (pow k 2) (* (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (* (* (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) (fma (pow k 2) (* (* (log n) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (- +nan.0) (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (* (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 (fma (- (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) +nan.0 (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (fma +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))) (- (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))))) (fma +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 7.218 * * * [progress]: adding candidates to table 7.870 * * [progress]: iteration 2 / 4 7.870 * * * [progress]: picking best candidate 7.896 * * * * [pick]: Picked # 7.896 * * * [progress]: localizing error 7.919 * * * [progress]: generating rewritten candidates 7.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.928 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.962 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.975 * * * [progress]: generating series expansions 7.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.975 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.975 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.976 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.976 * [taylor]: Taking taylor expansion of 0.5 in k 7.976 * [backup-simplify]: Simplify 0.5 into 0.5 7.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.976 * [taylor]: Taking taylor expansion of 1.0 in k 7.976 * [backup-simplify]: Simplify 1.0 into 1.0 7.976 * [taylor]: Taking taylor expansion of k in k 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [taylor]: Taking taylor expansion of (log n) in k 7.976 * [taylor]: Taking taylor expansion of n in k 7.976 * [backup-simplify]: Simplify n into n 7.976 * [backup-simplify]: Simplify (log n) into (log n) 7.977 * [backup-simplify]: Simplify (- 0) into 0 7.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.978 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.978 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.978 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.978 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.978 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.978 * [taylor]: Taking taylor expansion of 0.5 in n 7.978 * [backup-simplify]: Simplify 0.5 into 0.5 7.978 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.978 * [taylor]: Taking taylor expansion of 1.0 in n 7.978 * [backup-simplify]: Simplify 1.0 into 1.0 7.978 * [taylor]: Taking taylor expansion of k in n 7.978 * [backup-simplify]: Simplify k into k 7.978 * [taylor]: Taking taylor expansion of (log n) in n 7.979 * [taylor]: Taking taylor expansion of n in n 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (log 1) into 0 7.979 * [backup-simplify]: Simplify (- k) into (- k) 7.979 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.979 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.980 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.981 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.981 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.981 * [taylor]: Taking taylor expansion of 0.5 in n 7.981 * [backup-simplify]: Simplify 0.5 into 0.5 7.981 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.981 * [taylor]: Taking taylor expansion of 1.0 in n 7.981 * [backup-simplify]: Simplify 1.0 into 1.0 7.981 * [taylor]: Taking taylor expansion of k in n 7.981 * [backup-simplify]: Simplify k into k 7.981 * [taylor]: Taking taylor expansion of (log n) in n 7.981 * [taylor]: Taking taylor expansion of n in n 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (log 1) into 0 7.989 * [backup-simplify]: Simplify (- k) into (- k) 7.989 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.989 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.990 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.990 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.990 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.990 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.990 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.990 * [taylor]: Taking taylor expansion of 0.5 in k 7.990 * [backup-simplify]: Simplify 0.5 into 0.5 7.990 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.990 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.990 * [taylor]: Taking taylor expansion of 1.0 in k 7.990 * [backup-simplify]: Simplify 1.0 into 1.0 7.990 * [taylor]: Taking taylor expansion of k in k 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 1 into 1 7.990 * [taylor]: Taking taylor expansion of (log n) in k 7.990 * [taylor]: Taking taylor expansion of n in k 7.991 * [backup-simplify]: Simplify n into n 7.991 * [backup-simplify]: Simplify (log n) into (log n) 7.991 * [backup-simplify]: Simplify (- 0) into 0 7.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.992 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.992 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.992 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.992 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify (+ 0 0) into 0 7.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.995 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.995 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.996 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.997 * [taylor]: Taking taylor expansion of 0 in k 7.997 * [backup-simplify]: Simplify 0 into 0 7.997 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.998 * [backup-simplify]: Simplify (- 1) into -1 7.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.999 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.999 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.999 * [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))) 8.000 * [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))) 8.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.004 * [backup-simplify]: Simplify (- 0) into 0 8.004 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.006 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.007 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.008 * [taylor]: Taking taylor expansion of 0 in k 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.010 * [backup-simplify]: Simplify (- 0) into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.013 * [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))) 8.014 * [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))) 8.015 * [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)))) 8.016 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.016 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.016 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.016 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.016 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.016 * [taylor]: Taking taylor expansion of 0.5 in k 8.016 * [backup-simplify]: Simplify 0.5 into 0.5 8.016 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.016 * [taylor]: Taking taylor expansion of 1.0 in k 8.016 * [backup-simplify]: Simplify 1.0 into 1.0 8.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.016 * [taylor]: Taking taylor expansion of k in k 8.016 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.017 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.017 * [taylor]: Taking taylor expansion of n in k 8.017 * [backup-simplify]: Simplify n into n 8.017 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.017 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.017 * [backup-simplify]: Simplify (- 1) into -1 8.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.018 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.018 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.019 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.019 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.019 * [taylor]: Taking taylor expansion of 0.5 in n 8.019 * [backup-simplify]: Simplify 0.5 into 0.5 8.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.019 * [taylor]: Taking taylor expansion of 1.0 in n 8.019 * [backup-simplify]: Simplify 1.0 into 1.0 8.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.019 * [taylor]: Taking taylor expansion of k in n 8.019 * [backup-simplify]: Simplify k into k 8.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.019 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.019 * [taylor]: Taking taylor expansion of n in n 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 1 into 1 8.020 * [backup-simplify]: Simplify (/ 1 1) into 1 8.020 * [backup-simplify]: Simplify (log 1) into 0 8.020 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.020 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.020 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.021 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.021 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.021 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.021 * [taylor]: Taking taylor expansion of 0.5 in n 8.021 * [backup-simplify]: Simplify 0.5 into 0.5 8.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.022 * [taylor]: Taking taylor expansion of 1.0 in n 8.022 * [backup-simplify]: Simplify 1.0 into 1.0 8.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.022 * [taylor]: Taking taylor expansion of k in n 8.022 * [backup-simplify]: Simplify k into k 8.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.022 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.022 * [taylor]: Taking taylor expansion of n in n 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.023 * [backup-simplify]: Simplify (log 1) into 0 8.023 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.023 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.023 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.024 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.024 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.024 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.024 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.024 * [taylor]: Taking taylor expansion of -0.5 in k 8.024 * [backup-simplify]: Simplify -0.5 into -0.5 8.024 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.024 * [taylor]: Taking taylor expansion of (log n) in k 8.024 * [taylor]: Taking taylor expansion of n in k 8.024 * [backup-simplify]: Simplify n into n 8.024 * [backup-simplify]: Simplify (log n) into (log n) 8.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.024 * [taylor]: Taking taylor expansion of 1.0 in k 8.024 * [backup-simplify]: Simplify 1.0 into 1.0 8.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.024 * [taylor]: Taking taylor expansion of k in k 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.025 * [backup-simplify]: Simplify (/ 1 1) into 1 8.025 * [backup-simplify]: Simplify (- 1) into -1 8.025 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.025 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.025 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.025 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.026 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.027 * [backup-simplify]: Simplify (- 0) into 0 8.027 * [backup-simplify]: Simplify (+ 0 0) into 0 8.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.028 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.029 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.029 * [taylor]: Taking taylor expansion of 0 in k 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.031 * [backup-simplify]: Simplify (- 0) into 0 8.032 * [backup-simplify]: Simplify (+ 0 0) into 0 8.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.033 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.034 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.034 * [taylor]: Taking taylor expansion of 0 in k 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.037 * [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 8.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.038 * [backup-simplify]: Simplify (- 0) into 0 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.040 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.041 * [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 8.041 * [taylor]: Taking taylor expansion of 0 in k 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.042 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.042 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.042 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.042 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.042 * [taylor]: Taking taylor expansion of 0.5 in k 8.042 * [backup-simplify]: Simplify 0.5 into 0.5 8.042 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.042 * [taylor]: Taking taylor expansion of k in k 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [taylor]: Taking taylor expansion of 1.0 in k 8.042 * [backup-simplify]: Simplify 1.0 into 1.0 8.042 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.042 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.042 * [taylor]: Taking taylor expansion of -1 in k 8.042 * [backup-simplify]: Simplify -1 into -1 8.042 * [taylor]: Taking taylor expansion of n in k 8.042 * [backup-simplify]: Simplify n into n 8.042 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.042 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.043 * [backup-simplify]: Simplify (+ 1 0) into 1 8.043 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.043 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.043 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.043 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.043 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.043 * [taylor]: Taking taylor expansion of 0.5 in n 8.043 * [backup-simplify]: Simplify 0.5 into 0.5 8.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.043 * [taylor]: Taking taylor expansion of k in n 8.043 * [backup-simplify]: Simplify k into k 8.043 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.043 * [taylor]: Taking taylor expansion of 1.0 in n 8.043 * [backup-simplify]: Simplify 1.0 into 1.0 8.043 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.043 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.043 * [taylor]: Taking taylor expansion of -1 in n 8.043 * [backup-simplify]: Simplify -1 into -1 8.043 * [taylor]: Taking taylor expansion of n in n 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify (/ -1 1) into -1 8.044 * [backup-simplify]: Simplify (log -1) into (log -1) 8.044 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.044 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.045 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.045 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.046 * [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)))) 8.046 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.046 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.046 * [taylor]: Taking taylor expansion of 0.5 in n 8.046 * [backup-simplify]: Simplify 0.5 into 0.5 8.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.046 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.046 * [taylor]: Taking taylor expansion of k in n 8.046 * [backup-simplify]: Simplify k into k 8.046 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.046 * [taylor]: Taking taylor expansion of 1.0 in n 8.046 * [backup-simplify]: Simplify 1.0 into 1.0 8.046 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.046 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.046 * [taylor]: Taking taylor expansion of -1 in n 8.046 * [backup-simplify]: Simplify -1 into -1 8.046 * [taylor]: Taking taylor expansion of n in n 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (/ -1 1) into -1 8.046 * [backup-simplify]: Simplify (log -1) into (log -1) 8.047 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.047 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.048 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.048 * [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)))) 8.048 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.048 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.048 * [taylor]: Taking taylor expansion of 0.5 in k 8.048 * [backup-simplify]: Simplify 0.5 into 0.5 8.048 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.048 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.048 * [taylor]: Taking taylor expansion of (log -1) in k 8.048 * [taylor]: Taking taylor expansion of -1 in k 8.048 * [backup-simplify]: Simplify -1 into -1 8.048 * [backup-simplify]: Simplify (log -1) into (log -1) 8.048 * [taylor]: Taking taylor expansion of (log n) in k 8.048 * [taylor]: Taking taylor expansion of n in k 8.048 * [backup-simplify]: Simplify n into n 8.049 * [backup-simplify]: Simplify (log n) into (log n) 8.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.049 * [taylor]: Taking taylor expansion of k in k 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [taylor]: Taking taylor expansion of 1.0 in k 8.049 * [backup-simplify]: Simplify 1.0 into 1.0 8.049 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.049 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.050 * [backup-simplify]: Simplify (+ 1 0) into 1 8.050 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.050 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.050 * [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)))) 8.051 * [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)))) 8.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.054 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.055 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.055 * [taylor]: Taking taylor expansion of 0 in k 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.057 * [backup-simplify]: Simplify (+ 0 0) into 0 8.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.059 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.060 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.060 * [taylor]: Taking taylor expansion of 0 in k 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [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 8.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.068 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.072 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.075 * [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 8.075 * [taylor]: Taking taylor expansion of 0 in k 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.076 * [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)))))) 8.076 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 8.077 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.077 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.077 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.077 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.077 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.077 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.077 * [taylor]: Taking taylor expansion of 0.5 in k 8.077 * [backup-simplify]: Simplify 0.5 into 0.5 8.077 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.077 * [taylor]: Taking taylor expansion of 1.0 in k 8.077 * [backup-simplify]: Simplify 1.0 into 1.0 8.077 * [taylor]: Taking taylor expansion of k in k 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify 1 into 1 8.077 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.077 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.077 * [taylor]: Taking taylor expansion of 2.0 in k 8.077 * [backup-simplify]: Simplify 2.0 into 2.0 8.077 * [taylor]: Taking taylor expansion of PI in k 8.077 * [backup-simplify]: Simplify PI into PI 8.078 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.079 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.079 * [backup-simplify]: Simplify (- 0) into 0 8.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.080 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.082 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.085 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.085 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.085 * [taylor]: Taking taylor expansion of 0.5 in k 8.085 * [backup-simplify]: Simplify 0.5 into 0.5 8.085 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.085 * [taylor]: Taking taylor expansion of 1.0 in k 8.085 * [backup-simplify]: Simplify 1.0 into 1.0 8.085 * [taylor]: Taking taylor expansion of k in k 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.085 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.086 * [taylor]: Taking taylor expansion of 2.0 in k 8.086 * [backup-simplify]: Simplify 2.0 into 2.0 8.086 * [taylor]: Taking taylor expansion of PI in k 8.086 * [backup-simplify]: Simplify PI into PI 8.086 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.087 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.088 * [backup-simplify]: Simplify (- 0) into 0 8.088 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.089 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.091 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.094 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.095 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.096 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.098 * [backup-simplify]: Simplify (- 1) into -1 8.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.101 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.118 * [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))) 8.128 * [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))) 8.130 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.135 * [backup-simplify]: Simplify (+ 0 0) into 0 8.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.154 * [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))) 8.163 * [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))) 8.181 * [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)))) 8.181 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.181 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.181 * [taylor]: Taking taylor expansion of 0.5 in k 8.181 * [backup-simplify]: Simplify 0.5 into 0.5 8.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.181 * [taylor]: Taking taylor expansion of 1.0 in k 8.181 * [backup-simplify]: Simplify 1.0 into 1.0 8.181 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.182 * [taylor]: Taking taylor expansion of k in k 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.182 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.182 * [taylor]: Taking taylor expansion of 2.0 in k 8.182 * [backup-simplify]: Simplify 2.0 into 2.0 8.182 * [taylor]: Taking taylor expansion of PI in k 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.183 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.183 * [backup-simplify]: Simplify (- 1) into -1 8.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.184 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.185 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.186 * [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))))) 8.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.186 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.186 * [taylor]: Taking taylor expansion of 0.5 in k 8.186 * [backup-simplify]: Simplify 0.5 into 0.5 8.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.186 * [taylor]: Taking taylor expansion of 1.0 in k 8.186 * [backup-simplify]: Simplify 1.0 into 1.0 8.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.186 * [taylor]: Taking taylor expansion of k in k 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.186 * [taylor]: Taking taylor expansion of 2.0 in k 8.186 * [backup-simplify]: Simplify 2.0 into 2.0 8.186 * [taylor]: Taking taylor expansion of PI in k 8.186 * [backup-simplify]: Simplify PI into PI 8.186 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.187 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.187 * [backup-simplify]: Simplify (- 1) into -1 8.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.188 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.189 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.190 * [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))))) 8.190 * [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))))) 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [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))))) 8.192 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.192 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.192 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.192 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.192 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.192 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.192 * [taylor]: Taking taylor expansion of 0.5 in k 8.192 * [backup-simplify]: Simplify 0.5 into 0.5 8.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.192 * [taylor]: Taking taylor expansion of k in k 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (/ 1 1) into 1 8.192 * [taylor]: Taking taylor expansion of 1.0 in k 8.192 * [backup-simplify]: Simplify 1.0 into 1.0 8.192 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.192 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.192 * [taylor]: Taking taylor expansion of 2.0 in k 8.192 * [backup-simplify]: Simplify 2.0 into 2.0 8.192 * [taylor]: Taking taylor expansion of PI in k 8.192 * [backup-simplify]: Simplify PI into PI 8.193 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.193 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.194 * [backup-simplify]: Simplify (+ 1 0) into 1 8.194 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.195 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.196 * [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)))) 8.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.196 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.196 * [taylor]: Taking taylor expansion of 0.5 in k 8.196 * [backup-simplify]: Simplify 0.5 into 0.5 8.196 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.196 * [taylor]: Taking taylor expansion of k in k 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.196 * [backup-simplify]: Simplify (/ 1 1) into 1 8.196 * [taylor]: Taking taylor expansion of 1.0 in k 8.196 * [backup-simplify]: Simplify 1.0 into 1.0 8.196 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.196 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.196 * [taylor]: Taking taylor expansion of 2.0 in k 8.196 * [backup-simplify]: Simplify 2.0 into 2.0 8.196 * [taylor]: Taking taylor expansion of PI in k 8.196 * [backup-simplify]: Simplify PI into PI 8.197 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.197 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.197 * [backup-simplify]: Simplify (+ 1 0) into 1 8.198 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.199 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.199 * [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)))) 8.200 * [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)))) 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.201 * [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))))) 8.201 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.202 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 8.202 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 8.202 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 8.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 8.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 8.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 8.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.202 * [taylor]: Taking taylor expansion of 0.5 in n 8.202 * [backup-simplify]: Simplify 0.5 into 0.5 8.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.202 * [taylor]: Taking taylor expansion of 1.0 in n 8.202 * [backup-simplify]: Simplify 1.0 into 1.0 8.202 * [taylor]: Taking taylor expansion of k in n 8.202 * [backup-simplify]: Simplify k into k 8.202 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.202 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.202 * [taylor]: Taking taylor expansion of 2.0 in n 8.202 * [backup-simplify]: Simplify 2.0 into 2.0 8.202 * [taylor]: Taking taylor expansion of PI in n 8.202 * [backup-simplify]: Simplify PI into PI 8.203 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.203 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.203 * [backup-simplify]: Simplify (- k) into (- k) 8.203 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.203 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.204 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 8.205 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.205 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.205 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.205 * [taylor]: Taking taylor expansion of 0.5 in n 8.205 * [backup-simplify]: Simplify 0.5 into 0.5 8.205 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.205 * [taylor]: Taking taylor expansion of 1.0 in n 8.205 * [backup-simplify]: Simplify 1.0 into 1.0 8.205 * [taylor]: Taking taylor expansion of k in n 8.205 * [backup-simplify]: Simplify k into k 8.205 * [taylor]: Taking taylor expansion of (log n) in n 8.205 * [taylor]: Taking taylor expansion of n in n 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (log 1) into 0 8.205 * [backup-simplify]: Simplify (- k) into (- k) 8.205 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.205 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.206 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.206 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.206 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.206 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 8.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.206 * [taylor]: Taking taylor expansion of 0.5 in k 8.206 * [backup-simplify]: Simplify 0.5 into 0.5 8.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.206 * [taylor]: Taking taylor expansion of 1.0 in k 8.206 * [backup-simplify]: Simplify 1.0 into 1.0 8.206 * [taylor]: Taking taylor expansion of k in k 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.206 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.206 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.206 * [taylor]: Taking taylor expansion of 2.0 in k 8.206 * [backup-simplify]: Simplify 2.0 into 2.0 8.206 * [taylor]: Taking taylor expansion of PI in k 8.206 * [backup-simplify]: Simplify PI into PI 8.206 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.207 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.208 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.208 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.209 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.210 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.210 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.210 * [taylor]: Taking taylor expansion of 0.5 in k 8.210 * [backup-simplify]: Simplify 0.5 into 0.5 8.210 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.211 * [taylor]: Taking taylor expansion of 1.0 in k 8.211 * [backup-simplify]: Simplify 1.0 into 1.0 8.211 * [taylor]: Taking taylor expansion of k in k 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.211 * [taylor]: Taking taylor expansion of (log n) in k 8.211 * [taylor]: Taking taylor expansion of n in k 8.211 * [backup-simplify]: Simplify n into n 8.211 * [backup-simplify]: Simplify (log n) into (log n) 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.211 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.211 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.211 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.212 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.212 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 8.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.212 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.212 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.212 * [taylor]: Taking taylor expansion of 0.5 in k 8.212 * [backup-simplify]: Simplify 0.5 into 0.5 8.212 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.212 * [taylor]: Taking taylor expansion of 1.0 in k 8.212 * [backup-simplify]: Simplify 1.0 into 1.0 8.212 * [taylor]: Taking taylor expansion of k in k 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.212 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.212 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.212 * [taylor]: Taking taylor expansion of 2.0 in k 8.212 * [backup-simplify]: Simplify 2.0 into 2.0 8.212 * [taylor]: Taking taylor expansion of PI in k 8.212 * [backup-simplify]: Simplify PI into PI 8.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.213 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.214 * [backup-simplify]: Simplify (- 0) into 0 8.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.215 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.216 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.218 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.218 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.218 * [taylor]: Taking taylor expansion of 0.5 in k 8.218 * [backup-simplify]: Simplify 0.5 into 0.5 8.218 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.218 * [taylor]: Taking taylor expansion of 1.0 in k 8.218 * [backup-simplify]: Simplify 1.0 into 1.0 8.218 * [taylor]: Taking taylor expansion of k in k 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.218 * [taylor]: Taking taylor expansion of (log n) in k 8.218 * [taylor]: Taking taylor expansion of n in k 8.218 * [backup-simplify]: Simplify n into n 8.218 * [backup-simplify]: Simplify (log n) into (log n) 8.218 * [backup-simplify]: Simplify (- 0) into 0 8.219 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.219 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.219 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.219 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.220 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 8.220 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.220 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.220 * [taylor]: Taking taylor expansion of 0.5 in n 8.220 * [backup-simplify]: Simplify 0.5 into 0.5 8.220 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.220 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.220 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.220 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.220 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.220 * [taylor]: Taking taylor expansion of 1.0 in n 8.220 * [backup-simplify]: Simplify 1.0 into 1.0 8.220 * [taylor]: Taking taylor expansion of (log PI) in n 8.220 * [taylor]: Taking taylor expansion of PI in n 8.220 * [backup-simplify]: Simplify PI into PI 8.220 * [backup-simplify]: Simplify (log PI) into (log PI) 8.221 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.222 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.222 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.222 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.222 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.222 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.222 * [taylor]: Taking taylor expansion of 1.0 in n 8.222 * [backup-simplify]: Simplify 1.0 into 1.0 8.222 * [taylor]: Taking taylor expansion of (log n) in n 8.222 * [taylor]: Taking taylor expansion of n in n 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (log 1) into 0 8.223 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.223 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.223 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.223 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.223 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.223 * [taylor]: Taking taylor expansion of 1.0 in n 8.223 * [backup-simplify]: Simplify 1.0 into 1.0 8.223 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.223 * [taylor]: Taking taylor expansion of 2.0 in n 8.223 * [backup-simplify]: Simplify 2.0 into 2.0 8.223 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.224 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.225 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.225 * [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) 8.226 * [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) 8.227 * [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)) 8.227 * [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))) 8.228 * [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) 8.229 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (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) 1.0) 0.5) 8.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.230 * [backup-simplify]: Simplify (- 1) into -1 8.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.231 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 8.232 * [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))) 8.232 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.234 * [backup-simplify]: Simplify (- 1) into -1 8.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.235 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.248 * [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))) 8.257 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.257 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 8.257 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 8.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.257 * [taylor]: Taking taylor expansion of 0.5 in n 8.257 * [backup-simplify]: Simplify 0.5 into 0.5 8.257 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.257 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.257 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.257 * [taylor]: Taking taylor expansion of 2.0 in n 8.257 * [backup-simplify]: Simplify 2.0 into 2.0 8.257 * [taylor]: Taking taylor expansion of PI in n 8.258 * [backup-simplify]: Simplify PI into PI 8.258 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.259 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.259 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.259 * [taylor]: Taking taylor expansion of 0.5 in n 8.259 * [backup-simplify]: Simplify 0.5 into 0.5 8.259 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.259 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.259 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.259 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.259 * [taylor]: Taking taylor expansion of 1.0 in n 8.259 * [backup-simplify]: Simplify 1.0 into 1.0 8.259 * [taylor]: Taking taylor expansion of (log PI) in n 8.259 * [taylor]: Taking taylor expansion of PI in n 8.260 * [backup-simplify]: Simplify PI into PI 8.260 * [backup-simplify]: Simplify (log PI) into (log PI) 8.261 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.262 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.262 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.263 * [taylor]: Taking taylor expansion of 1.0 in n 8.263 * [backup-simplify]: Simplify 1.0 into 1.0 8.263 * [taylor]: Taking taylor expansion of (log n) in n 8.263 * [taylor]: Taking taylor expansion of n in n 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify 1 into 1 8.263 * [backup-simplify]: Simplify (log 1) into 0 8.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.264 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.264 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.264 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.264 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.264 * [taylor]: Taking taylor expansion of 1.0 in n 8.264 * [backup-simplify]: Simplify 1.0 into 1.0 8.264 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.264 * [taylor]: Taking taylor expansion of 2.0 in n 8.264 * [backup-simplify]: Simplify 2.0 into 2.0 8.264 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.265 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.267 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.267 * [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) 8.269 * [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) 8.270 * [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)) 8.271 * [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))) 8.273 * [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) 8.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.273 * [taylor]: Taking taylor expansion of 0.5 in n 8.273 * [backup-simplify]: Simplify 0.5 into 0.5 8.273 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.273 * [taylor]: Taking taylor expansion of (log n) in n 8.273 * [taylor]: Taking taylor expansion of n in n 8.273 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify 1 into 1 8.273 * [backup-simplify]: Simplify (log 1) into 0 8.273 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.273 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.273 * [taylor]: Taking taylor expansion of 0.5 in n 8.273 * [backup-simplify]: Simplify 0.5 into 0.5 8.273 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.274 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.274 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.274 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.274 * [taylor]: Taking taylor expansion of 1.0 in n 8.274 * [backup-simplify]: Simplify 1.0 into 1.0 8.274 * [taylor]: Taking taylor expansion of (log PI) in n 8.274 * [taylor]: Taking taylor expansion of PI in n 8.274 * [backup-simplify]: Simplify PI into PI 8.274 * [backup-simplify]: Simplify (log PI) into (log PI) 8.275 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.277 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.277 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.277 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.277 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.277 * [taylor]: Taking taylor expansion of 1.0 in n 8.277 * [backup-simplify]: Simplify 1.0 into 1.0 8.278 * [taylor]: Taking taylor expansion of (log n) in n 8.278 * [taylor]: Taking taylor expansion of n in n 8.278 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify (log 1) into 0 8.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.279 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.279 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.279 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.279 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.279 * [taylor]: Taking taylor expansion of 1.0 in n 8.279 * [backup-simplify]: Simplify 1.0 into 1.0 8.279 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.279 * [taylor]: Taking taylor expansion of 2.0 in n 8.279 * [backup-simplify]: Simplify 2.0 into 2.0 8.279 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.280 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.282 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.282 * [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) 8.283 * [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) 8.285 * [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)) 8.286 * [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))) 8.288 * [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) 8.290 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 8.293 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 8.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.295 * [backup-simplify]: Simplify (* (log n) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 8.296 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 8.300 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 8.305 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.309 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 8.311 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 8.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.312 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 8.313 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 8.313 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 8.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 8.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 8.315 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 8.317 * [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 8.319 * [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 8.320 * [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 8.320 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.321 * [backup-simplify]: Simplify (- 0) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 8.323 * [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))) 8.324 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.326 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.336 * [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))) 8.350 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.350 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 8.350 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.350 * [taylor]: Taking taylor expansion of 0.125 in n 8.350 * [backup-simplify]: Simplify 0.125 into 0.125 8.350 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.350 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 8.350 * [taylor]: Taking taylor expansion of (log n) in n 8.350 * [taylor]: Taking taylor expansion of n in n 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (log 1) into 0 8.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.351 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.351 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.351 * [taylor]: Taking taylor expansion of 0.5 in n 8.351 * [backup-simplify]: Simplify 0.5 into 0.5 8.351 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.351 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.351 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.351 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.351 * [taylor]: Taking taylor expansion of 1.0 in n 8.351 * [backup-simplify]: Simplify 1.0 into 1.0 8.351 * [taylor]: Taking taylor expansion of (log PI) in n 8.351 * [taylor]: Taking taylor expansion of PI in n 8.351 * [backup-simplify]: Simplify PI into PI 8.351 * [backup-simplify]: Simplify (log PI) into (log PI) 8.352 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.353 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.353 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.353 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.353 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.353 * [taylor]: Taking taylor expansion of 1.0 in n 8.353 * [backup-simplify]: Simplify 1.0 into 1.0 8.353 * [taylor]: Taking taylor expansion of (log n) in n 8.353 * [taylor]: Taking taylor expansion of n in n 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (log 1) into 0 8.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.354 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.354 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.354 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.354 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.354 * [taylor]: Taking taylor expansion of 1.0 in n 8.354 * [backup-simplify]: Simplify 1.0 into 1.0 8.354 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.354 * [taylor]: Taking taylor expansion of 2.0 in n 8.354 * [backup-simplify]: Simplify 2.0 into 2.0 8.354 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.355 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.356 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.356 * [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) 8.357 * [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) 8.358 * [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)) 8.359 * [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))) 8.363 * [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) 8.363 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 8.363 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 8.363 * [taylor]: Taking taylor expansion of 0.25 in n 8.363 * [backup-simplify]: Simplify 0.25 into 0.25 8.363 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 8.363 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 8.363 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.363 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.363 * [taylor]: Taking taylor expansion of 2.0 in n 8.363 * [backup-simplify]: Simplify 2.0 into 2.0 8.363 * [taylor]: Taking taylor expansion of PI in n 8.363 * [backup-simplify]: Simplify PI into PI 8.364 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.364 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.364 * [taylor]: Taking taylor expansion of (log n) in n 8.364 * [taylor]: Taking taylor expansion of n in n 8.364 * [backup-simplify]: Simplify 0 into 0 8.364 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (log 1) into 0 8.365 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 8.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 8.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 8.365 * [taylor]: Taking taylor expansion of 0.5 in n 8.365 * [backup-simplify]: Simplify 0.5 into 0.5 8.365 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 8.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 8.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.365 * [taylor]: Taking taylor expansion of 1.0 in n 8.365 * [backup-simplify]: Simplify 1.0 into 1.0 8.365 * [taylor]: Taking taylor expansion of (log PI) in n 8.365 * [taylor]: Taking taylor expansion of PI in n 8.365 * [backup-simplify]: Simplify PI into PI 8.365 * [backup-simplify]: Simplify (log PI) into (log PI) 8.366 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.367 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.367 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 8.367 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.367 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.367 * [taylor]: Taking taylor expansion of 1.0 in n 8.367 * [backup-simplify]: Simplify 1.0 into 1.0 8.367 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.367 * [taylor]: Taking taylor expansion of 2.0 in n 8.367 * [backup-simplify]: Simplify 2.0 into 2.0 8.367 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.368 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.369 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.369 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.369 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.369 * [taylor]: Taking taylor expansion of 1.0 in n 8.369 * [backup-simplify]: Simplify 1.0 into 1.0 8.369 * [taylor]: Taking taylor expansion of (log n) in n 8.369 * [taylor]: Taking taylor expansion of n in n 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (log 1) into 0 8.370 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.370 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.370 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.371 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 8.372 * [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) 8.373 * [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)) 8.375 * [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))) 8.376 * [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) 8.376 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.376 * [taylor]: Taking taylor expansion of 0.125 in n 8.376 * [backup-simplify]: Simplify 0.125 into 0.125 8.376 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.376 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 8.376 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.377 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.377 * [taylor]: Taking taylor expansion of 2.0 in n 8.377 * [backup-simplify]: Simplify 2.0 into 2.0 8.377 * [taylor]: Taking taylor expansion of PI in n 8.377 * [backup-simplify]: Simplify PI into PI 8.377 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.378 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.379 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.379 * [taylor]: Taking taylor expansion of 0.5 in n 8.379 * [backup-simplify]: Simplify 0.5 into 0.5 8.379 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.379 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.379 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.379 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.379 * [taylor]: Taking taylor expansion of 1.0 in n 8.379 * [backup-simplify]: Simplify 1.0 into 1.0 8.379 * [taylor]: Taking taylor expansion of (log PI) in n 8.379 * [taylor]: Taking taylor expansion of PI in n 8.379 * [backup-simplify]: Simplify PI into PI 8.379 * [backup-simplify]: Simplify (log PI) into (log PI) 8.380 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.382 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.382 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.382 * [taylor]: Taking taylor expansion of 1.0 in n 8.382 * [backup-simplify]: Simplify 1.0 into 1.0 8.382 * [taylor]: Taking taylor expansion of (log n) in n 8.382 * [taylor]: Taking taylor expansion of n in n 8.382 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.383 * [backup-simplify]: Simplify (log 1) into 0 8.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.383 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.384 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.384 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.384 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.384 * [taylor]: Taking taylor expansion of 1.0 in n 8.384 * [backup-simplify]: Simplify 1.0 into 1.0 8.384 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.384 * [taylor]: Taking taylor expansion of 2.0 in n 8.384 * [backup-simplify]: Simplify 2.0 into 2.0 8.384 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.385 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.387 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.387 * [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) 8.389 * [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) 8.390 * [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)) 8.391 * [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))) 8.393 * [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) 8.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.394 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 8.396 * [backup-simplify]: Simplify (* (pow (log n) 2) (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 8.397 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 8.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.399 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 8.401 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 8.404 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 8.407 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 8.410 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 8.414 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 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 n 1.0) (pow PI 1.0))) 0.5))) 8.420 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 8.427 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.435 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.451 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 8.453 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 8.453 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 8.453 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 8.453 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.453 * [taylor]: Taking taylor expansion of 0.5 in n 8.453 * [backup-simplify]: Simplify 0.5 into 0.5 8.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.453 * [taylor]: Taking taylor expansion of 1.0 in n 8.453 * [backup-simplify]: Simplify 1.0 into 1.0 8.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.453 * [taylor]: Taking taylor expansion of k in n 8.453 * [backup-simplify]: Simplify k into k 8.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.453 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.453 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.453 * [taylor]: Taking taylor expansion of n in n 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.454 * [backup-simplify]: Simplify (/ 1 1) into 1 8.454 * [backup-simplify]: Simplify (log 1) into 0 8.454 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.454 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.455 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.455 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.455 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.455 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 8.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 8.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.456 * [taylor]: Taking taylor expansion of 0.5 in n 8.456 * [backup-simplify]: Simplify 0.5 into 0.5 8.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.456 * [taylor]: Taking taylor expansion of 1.0 in n 8.456 * [backup-simplify]: Simplify 1.0 into 1.0 8.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.456 * [taylor]: Taking taylor expansion of k in n 8.456 * [backup-simplify]: Simplify k into k 8.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.456 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.456 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.456 * [taylor]: Taking taylor expansion of 2.0 in n 8.456 * [backup-simplify]: Simplify 2.0 into 2.0 8.456 * [taylor]: Taking taylor expansion of PI in n 8.456 * [backup-simplify]: Simplify PI into PI 8.457 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.458 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.458 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.458 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.458 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.459 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.460 * [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))))) 8.460 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.460 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.461 * [taylor]: Taking taylor expansion of 0.5 in k 8.461 * [backup-simplify]: Simplify 0.5 into 0.5 8.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.461 * [taylor]: Taking taylor expansion of 1.0 in k 8.461 * [backup-simplify]: Simplify 1.0 into 1.0 8.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.461 * [taylor]: Taking taylor expansion of k in k 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 1 into 1 8.461 * [backup-simplify]: Simplify (/ 1 1) into 1 8.461 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.461 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.461 * [taylor]: Taking taylor expansion of n in k 8.461 * [backup-simplify]: Simplify n into n 8.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.461 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.462 * [backup-simplify]: Simplify (- 1) into -1 8.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.463 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.463 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.463 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.463 * [taylor]: Taking taylor expansion of 0.5 in k 8.463 * [backup-simplify]: Simplify 0.5 into 0.5 8.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.463 * [taylor]: Taking taylor expansion of 1.0 in k 8.463 * [backup-simplify]: Simplify 1.0 into 1.0 8.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.463 * [taylor]: Taking taylor expansion of k in k 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (/ 1 1) into 1 8.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.464 * [taylor]: Taking taylor expansion of 2.0 in k 8.464 * [backup-simplify]: Simplify 2.0 into 2.0 8.464 * [taylor]: Taking taylor expansion of PI in k 8.464 * [backup-simplify]: Simplify PI into PI 8.464 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.466 * [backup-simplify]: Simplify (- 1) into -1 8.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.467 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.468 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.470 * [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))))) 8.470 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.470 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.470 * [taylor]: Taking taylor expansion of 0.5 in k 8.470 * [backup-simplify]: Simplify 0.5 into 0.5 8.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.470 * [taylor]: Taking taylor expansion of 1.0 in k 8.470 * [backup-simplify]: Simplify 1.0 into 1.0 8.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.470 * [taylor]: Taking taylor expansion of k in k 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.471 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.471 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.471 * [taylor]: Taking taylor expansion of n in k 8.471 * [backup-simplify]: Simplify n into n 8.471 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.471 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.471 * [backup-simplify]: Simplify (- 1) into -1 8.472 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.472 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.472 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.472 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.473 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.473 * [taylor]: Taking taylor expansion of 0.5 in k 8.473 * [backup-simplify]: Simplify 0.5 into 0.5 8.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.473 * [taylor]: Taking taylor expansion of 1.0 in k 8.473 * [backup-simplify]: Simplify 1.0 into 1.0 8.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.473 * [taylor]: Taking taylor expansion of k in k 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 1 into 1 8.473 * [backup-simplify]: Simplify (/ 1 1) into 1 8.473 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.473 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.473 * [taylor]: Taking taylor expansion of 2.0 in k 8.473 * [backup-simplify]: Simplify 2.0 into 2.0 8.473 * [taylor]: Taking taylor expansion of PI in k 8.473 * [backup-simplify]: Simplify PI into PI 8.474 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.475 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.475 * [backup-simplify]: Simplify (- 1) into -1 8.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.476 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.478 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.479 * [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))))) 8.480 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 8.480 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 8.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 8.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 8.481 * [taylor]: Taking taylor expansion of 0.5 in n 8.481 * [backup-simplify]: Simplify 0.5 into 0.5 8.481 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 8.481 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.481 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.481 * [taylor]: Taking taylor expansion of n in n 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [backup-simplify]: Simplify (log 1) into 0 8.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.482 * [taylor]: Taking taylor expansion of 1.0 in n 8.482 * [backup-simplify]: Simplify 1.0 into 1.0 8.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.482 * [taylor]: Taking taylor expansion of k in n 8.482 * [backup-simplify]: Simplify k into k 8.482 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.482 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.482 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.482 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 8.483 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.483 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 8.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 8.483 * [taylor]: Taking taylor expansion of 0.5 in n 8.483 * [backup-simplify]: Simplify 0.5 into 0.5 8.483 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 8.483 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.483 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.483 * [taylor]: Taking taylor expansion of 2.0 in n 8.483 * [backup-simplify]: Simplify 2.0 into 2.0 8.483 * [taylor]: Taking taylor expansion of PI in n 8.483 * [backup-simplify]: Simplify PI into PI 8.484 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.485 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.485 * [taylor]: Taking taylor expansion of 1.0 in n 8.485 * [backup-simplify]: Simplify 1.0 into 1.0 8.485 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.485 * [taylor]: Taking taylor expansion of k in n 8.485 * [backup-simplify]: Simplify k into k 8.485 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.485 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.485 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.487 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 8.488 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.489 * [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))))) 8.490 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 8.492 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 8.493 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 8.493 * [taylor]: Taking taylor expansion of 0 in n 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.494 * [backup-simplify]: Simplify (- 0) into 0 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.498 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 8.501 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.502 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.502 * [backup-simplify]: Simplify (- 0) into 0 8.503 * [backup-simplify]: Simplify (+ 0 0) into 0 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.505 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 8.507 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.508 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 8.508 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 8.510 * [taylor]: Taking taylor expansion of 0 in n 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.511 * [backup-simplify]: Simplify (- 0) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.524 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.528 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.529 * [backup-simplify]: Simplify (- 0) into 0 8.529 * [backup-simplify]: Simplify (+ 0 0) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.534 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 8.536 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.538 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 8.540 * [taylor]: Taking taylor expansion of 0 in n 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 8.543 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 8.543 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 8.543 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 8.543 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.543 * [taylor]: Taking taylor expansion of 0.5 in n 8.543 * [backup-simplify]: Simplify 0.5 into 0.5 8.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.543 * [taylor]: Taking taylor expansion of k in n 8.543 * [backup-simplify]: Simplify k into k 8.543 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.543 * [taylor]: Taking taylor expansion of 1.0 in n 8.544 * [backup-simplify]: Simplify 1.0 into 1.0 8.544 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.544 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.544 * [taylor]: Taking taylor expansion of -1 in n 8.544 * [backup-simplify]: Simplify -1 into -1 8.544 * [taylor]: Taking taylor expansion of n in n 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ -1 1) into -1 8.545 * [backup-simplify]: Simplify (log -1) into (log -1) 8.545 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.545 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.546 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.547 * [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)))) 8.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 8.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 8.547 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.547 * [taylor]: Taking taylor expansion of 0.5 in n 8.547 * [backup-simplify]: Simplify 0.5 into 0.5 8.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.547 * [taylor]: Taking taylor expansion of k in n 8.547 * [backup-simplify]: Simplify k into k 8.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.547 * [taylor]: Taking taylor expansion of 1.0 in n 8.547 * [backup-simplify]: Simplify 1.0 into 1.0 8.547 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.547 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.547 * [taylor]: Taking taylor expansion of 2.0 in n 8.547 * [backup-simplify]: Simplify 2.0 into 2.0 8.547 * [taylor]: Taking taylor expansion of PI in n 8.547 * [backup-simplify]: Simplify PI into PI 8.548 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.549 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.549 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.549 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.551 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.552 * [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)))) 8.552 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 8.552 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.552 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.552 * [taylor]: Taking taylor expansion of 0.5 in k 8.552 * [backup-simplify]: Simplify 0.5 into 0.5 8.552 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.552 * [taylor]: Taking taylor expansion of k in k 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [taylor]: Taking taylor expansion of 1.0 in k 8.553 * [backup-simplify]: Simplify 1.0 into 1.0 8.553 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.553 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.553 * [taylor]: Taking taylor expansion of -1 in k 8.553 * [backup-simplify]: Simplify -1 into -1 8.553 * [taylor]: Taking taylor expansion of n in k 8.553 * [backup-simplify]: Simplify n into n 8.553 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.553 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.554 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.554 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.555 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.555 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.555 * [taylor]: Taking taylor expansion of 0.5 in k 8.555 * [backup-simplify]: Simplify 0.5 into 0.5 8.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.555 * [taylor]: Taking taylor expansion of k in k 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [taylor]: Taking taylor expansion of 1.0 in k 8.555 * [backup-simplify]: Simplify 1.0 into 1.0 8.555 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.555 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.555 * [taylor]: Taking taylor expansion of 2.0 in k 8.556 * [backup-simplify]: Simplify 2.0 into 2.0 8.556 * [taylor]: Taking taylor expansion of PI in k 8.556 * [backup-simplify]: Simplify PI into PI 8.556 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.557 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.558 * [backup-simplify]: Simplify (+ 1 0) into 1 8.558 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.560 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.561 * [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)))) 8.561 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 8.561 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.561 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.561 * [taylor]: Taking taylor expansion of 0.5 in k 8.561 * [backup-simplify]: Simplify 0.5 into 0.5 8.561 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.561 * [taylor]: Taking taylor expansion of k in k 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [taylor]: Taking taylor expansion of 1.0 in k 8.562 * [backup-simplify]: Simplify 1.0 into 1.0 8.562 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.562 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.562 * [taylor]: Taking taylor expansion of -1 in k 8.562 * [backup-simplify]: Simplify -1 into -1 8.562 * [taylor]: Taking taylor expansion of n in k 8.562 * [backup-simplify]: Simplify n into n 8.562 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.562 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.563 * [backup-simplify]: Simplify (+ 1 0) into 1 8.563 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.563 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.563 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.564 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.564 * [taylor]: Taking taylor expansion of 0.5 in k 8.564 * [backup-simplify]: Simplify 0.5 into 0.5 8.564 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.564 * [taylor]: Taking taylor expansion of k in k 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [backup-simplify]: Simplify (/ 1 1) into 1 8.564 * [taylor]: Taking taylor expansion of 1.0 in k 8.564 * [backup-simplify]: Simplify 1.0 into 1.0 8.564 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.564 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.564 * [taylor]: Taking taylor expansion of 2.0 in k 8.564 * [backup-simplify]: Simplify 2.0 into 2.0 8.564 * [taylor]: Taking taylor expansion of PI in k 8.564 * [backup-simplify]: Simplify PI into PI 8.564 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.565 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.565 * [backup-simplify]: Simplify (+ 1 0) into 1 8.566 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.567 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.567 * [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)))) 8.568 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.568 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 8.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 8.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 8.568 * [taylor]: Taking taylor expansion of 0.5 in n 8.568 * [backup-simplify]: Simplify 0.5 into 0.5 8.568 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 8.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.568 * [taylor]: Taking taylor expansion of k in n 8.568 * [backup-simplify]: Simplify k into k 8.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.568 * [taylor]: Taking taylor expansion of 1.0 in n 8.568 * [backup-simplify]: Simplify 1.0 into 1.0 8.568 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.569 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.569 * [taylor]: Taking taylor expansion of -1 in n 8.569 * [backup-simplify]: Simplify -1 into -1 8.569 * [taylor]: Taking taylor expansion of n in n 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ -1 1) into -1 8.569 * [backup-simplify]: Simplify (log -1) into (log -1) 8.569 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.570 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 8.570 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.571 * [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)))) 8.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 8.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 8.571 * [taylor]: Taking taylor expansion of 0.5 in n 8.571 * [backup-simplify]: Simplify 0.5 into 0.5 8.571 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 8.571 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.571 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.571 * [taylor]: Taking taylor expansion of 2.0 in n 8.571 * [backup-simplify]: Simplify 2.0 into 2.0 8.571 * [taylor]: Taking taylor expansion of PI in n 8.571 * [backup-simplify]: Simplify PI into PI 8.571 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.572 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.572 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.572 * [taylor]: Taking taylor expansion of k in n 8.572 * [backup-simplify]: Simplify k into k 8.572 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.572 * [taylor]: Taking taylor expansion of 1.0 in n 8.572 * [backup-simplify]: Simplify 1.0 into 1.0 8.572 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.573 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 8.573 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.574 * [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)))) 8.575 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 8.576 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.577 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 8.577 * [taylor]: Taking taylor expansion of 0 in n 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.578 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.580 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 8.582 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.584 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 8.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 8.585 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 8.588 * [taylor]: Taking taylor expansion of 0 in n 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.588 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.591 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 8.594 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.597 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 8.599 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.600 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 8.602 * [taylor]: Taking taylor expansion of 0 in n 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 8.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.603 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.603 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.603 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.603 * [taylor]: Taking taylor expansion of 1.0 in k 8.603 * [backup-simplify]: Simplify 1.0 into 1.0 8.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.603 * [taylor]: Taking taylor expansion of k in k 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (/ 1 1) into 1 8.604 * [backup-simplify]: Simplify (sqrt 0) into 0 8.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.605 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.605 * [taylor]: Taking taylor expansion of 1.0 in k 8.605 * [backup-simplify]: Simplify 1.0 into 1.0 8.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.605 * [taylor]: Taking taylor expansion of k in k 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (/ 1 1) into 1 8.606 * [backup-simplify]: Simplify (sqrt 0) into 0 8.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.608 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.608 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.610 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.615 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.616 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.623 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.625 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.625 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.625 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.625 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.625 * [taylor]: Taking taylor expansion of 1.0 in k 8.625 * [backup-simplify]: Simplify 1.0 into 1.0 8.625 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.625 * [taylor]: Taking taylor expansion of k in k 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (sqrt 0) into 0 8.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.627 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.627 * [taylor]: Taking taylor expansion of 1.0 in k 8.627 * [backup-simplify]: Simplify 1.0 into 1.0 8.627 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.627 * [taylor]: Taking taylor expansion of k in k 8.627 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (sqrt 0) into 0 8.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.630 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.632 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.635 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.637 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.637 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.649 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.649 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.651 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.651 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.651 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.652 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.652 * [taylor]: Taking taylor expansion of 1.0 in k 8.652 * [backup-simplify]: Simplify 1.0 into 1.0 8.652 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.652 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.652 * [taylor]: Taking taylor expansion of -1 in k 8.652 * [backup-simplify]: Simplify -1 into -1 8.652 * [taylor]: Taking taylor expansion of k in k 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 1 into 1 8.652 * [backup-simplify]: Simplify (/ -1 1) into -1 8.653 * [backup-simplify]: Simplify (sqrt 0) into 0 8.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.655 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.655 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.655 * [taylor]: Taking taylor expansion of 1.0 in k 8.655 * [backup-simplify]: Simplify 1.0 into 1.0 8.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.655 * [taylor]: Taking taylor expansion of -1 in k 8.655 * [backup-simplify]: Simplify -1 into -1 8.655 * [taylor]: Taking taylor expansion of k in k 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (/ -1 1) into -1 8.656 * [backup-simplify]: Simplify (sqrt 0) into 0 8.657 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.658 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.664 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.664 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.673 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.674 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.675 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.675 * * * [progress]: simplifying candidates 8.680 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 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))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 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 (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (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))))) 8.688 * * [simplify]: Extracting # 0 : cost 0 8.688 * * [simplify]: Extracting # 1 : cost 0 8.689 * * [simplify]: Extracting # 2 : cost 0 8.690 * * [simplify]: Extracting # 3 : cost 0 8.690 * * [simplify]: Extracting # 4 : cost 0 8.691 * * [simplify]: Extracting # 5 : cost 0 8.692 * * [simplify]: Extracting # 6 : cost 0 8.693 * * [simplify]: Extracting # 7 : cost 0 8.694 * * [simplify]: Extracting # 8 : cost 0 8.695 * * [simplify]: Extracting # 9 : cost 0 8.695 * * [simplify]: Extracting # 10 : cost 0 8.696 * * [simplify]: Extracting # 11 : cost 0 8.697 * * [simplify]: Extracting # 12 : cost 0 8.698 * * [simplify]: Extracting # 13 : cost 0 8.699 * * [simplify]: Extracting # 14 : cost 0 8.700 * * [simplify]: Extracting # 15 : cost 0 8.701 * * [simplify]: Extracting # 16 : cost 0 8.701 * * [simplify]: Extracting # 17 : cost 0 8.702 * * [simplify]: Extracting # 18 : cost 0 8.703 * * [simplify]: iteration 0 : 324 enodes (cost 2568 ) 8.877 * * [simplify]: Extracting # 0 : cost 0 8.879 * * [simplify]: Extracting # 1 : cost 0 8.881 * * [simplify]: Extracting # 2 : cost 0 8.883 * * [simplify]: Extracting # 3 : cost 0 8.885 * * [simplify]: Extracting # 4 : cost 0 8.887 * * [simplify]: iteration 1 : 776 enodes (cost 2337 ) 9.338 * * [simplify]: Extracting # 0 : cost 0 9.340 * * [simplify]: Extracting # 1 : cost 0 9.343 * * [simplify]: Extracting # 2 : cost 0 9.346 * * [simplify]: Extracting # 3 : cost 0 9.349 * * [simplify]: Extracting # 4 : cost 0 9.356 * * [simplify]: iteration 2 : 2305 enodes (cost 2250 ) 10.213 * * [simplify]: Extracting # 0 : cost 0 10.225 * * [simplify]: Extracting # 1 : cost 0 10.239 * * [simplify]: Extracting # 2 : cost 0 10.252 * * [simplify]: Extracting # 3 : cost 0 10.266 * * [simplify]: Extracting # 4 : cost 0 10.279 * * [simplify]: iteration done: 5000 enodes (cost 2234 ) 10.282 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 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)))) (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))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (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))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (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)) 1 (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 (pow n (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 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)))) (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))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (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))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) (sqrt k)) k) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (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)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (fma 0.125 (* (* (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)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (+ 0 (log n)))) (- 1.0 k)) (- (fma 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)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- 0.5) (* k (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n) (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma 0.125 (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow k 2) (pow (log n) 2)) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma 0.25 (* (* (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)) (pow (pow (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) 1.0) 1.0) 0.5)))) (* (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (fma (- k) +nan.0 (- (* +nan.0 (pow k 2)) +nan.0)) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 (pow k 2))) (- (/ +nan.0 k) +nan.0)) 10.284 * * * [progress]: adding candidates to table 11.036 * * [progress]: iteration 3 / 4 11.036 * * * [progress]: picking best candidate 11.064 * * * * [pick]: Picked # 11.064 * * * [progress]: localizing error 11.095 * * * [progress]: generating rewritten candidates 11.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 11.109 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.537 * * * [progress]: generating series expansions 11.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 11.537 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.537 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.537 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.537 * [taylor]: Taking taylor expansion of 0.5 in k 11.537 * [backup-simplify]: Simplify 0.5 into 0.5 11.537 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.537 * [taylor]: Taking taylor expansion of 1.0 in k 11.537 * [backup-simplify]: Simplify 1.0 into 1.0 11.537 * [taylor]: Taking taylor expansion of k in k 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.538 * [taylor]: Taking taylor expansion of (log n) in k 11.538 * [taylor]: Taking taylor expansion of n in k 11.538 * [backup-simplify]: Simplify n into n 11.538 * [backup-simplify]: Simplify (log n) into (log n) 11.538 * [backup-simplify]: Simplify (- 0) into 0 11.539 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.539 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.539 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.540 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.540 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.540 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.540 * [taylor]: Taking taylor expansion of 0.5 in n 11.540 * [backup-simplify]: Simplify 0.5 into 0.5 11.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.540 * [taylor]: Taking taylor expansion of 1.0 in n 11.540 * [backup-simplify]: Simplify 1.0 into 1.0 11.540 * [taylor]: Taking taylor expansion of k in n 11.540 * [backup-simplify]: Simplify k into k 11.540 * [taylor]: Taking taylor expansion of (log n) in n 11.540 * [taylor]: Taking taylor expansion of n in n 11.540 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify 1 into 1 11.540 * [backup-simplify]: Simplify (log 1) into 0 11.541 * [backup-simplify]: Simplify (- k) into (- k) 11.541 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.541 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.541 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.541 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.542 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.542 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.542 * [taylor]: Taking taylor expansion of 0.5 in n 11.542 * [backup-simplify]: Simplify 0.5 into 0.5 11.542 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.542 * [taylor]: Taking taylor expansion of 1.0 in n 11.542 * [backup-simplify]: Simplify 1.0 into 1.0 11.542 * [taylor]: Taking taylor expansion of k in n 11.542 * [backup-simplify]: Simplify k into k 11.542 * [taylor]: Taking taylor expansion of (log n) in n 11.542 * [taylor]: Taking taylor expansion of n in n 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (log 1) into 0 11.543 * [backup-simplify]: Simplify (- k) into (- k) 11.543 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.543 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.544 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.544 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.544 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.544 * [taylor]: Taking taylor expansion of 0.5 in k 11.544 * [backup-simplify]: Simplify 0.5 into 0.5 11.544 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.544 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.544 * [taylor]: Taking taylor expansion of 1.0 in k 11.544 * [backup-simplify]: Simplify 1.0 into 1.0 11.544 * [taylor]: Taking taylor expansion of k in k 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify 1 into 1 11.544 * [taylor]: Taking taylor expansion of (log n) in k 11.544 * [taylor]: Taking taylor expansion of n in k 11.544 * [backup-simplify]: Simplify n into n 11.544 * [backup-simplify]: Simplify (log n) into (log n) 11.545 * [backup-simplify]: Simplify (- 0) into 0 11.545 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.545 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.545 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.545 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.546 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.548 * [backup-simplify]: Simplify (- 0) into 0 11.548 * [backup-simplify]: Simplify (+ 0 0) into 0 11.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.549 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.550 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.550 * [taylor]: Taking taylor expansion of 0 in k 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 0 into 0 11.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.551 * [backup-simplify]: Simplify (- 1) into -1 11.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.552 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.553 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.553 * [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))) 11.553 * [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))) 11.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.557 * [backup-simplify]: Simplify (- 0) into 0 11.557 * [backup-simplify]: Simplify (+ 0 0) into 0 11.558 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.558 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.559 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.560 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.560 * [taylor]: Taking taylor expansion of 0 in k 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.563 * [backup-simplify]: Simplify (- 0) into 0 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.565 * [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))) 11.565 * [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))) 11.566 * [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)))) 11.566 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.566 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.566 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.566 * [taylor]: Taking taylor expansion of 0.5 in k 11.566 * [backup-simplify]: Simplify 0.5 into 0.5 11.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.566 * [taylor]: Taking taylor expansion of 1.0 in k 11.566 * [backup-simplify]: Simplify 1.0 into 1.0 11.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.566 * [taylor]: Taking taylor expansion of k in k 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 1 into 1 11.567 * [backup-simplify]: Simplify (/ 1 1) into 1 11.567 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.567 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.567 * [taylor]: Taking taylor expansion of n in k 11.567 * [backup-simplify]: Simplify n into n 11.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.567 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.567 * [backup-simplify]: Simplify (- 1) into -1 11.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.568 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.568 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.568 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.568 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.568 * [taylor]: Taking taylor expansion of 0.5 in n 11.568 * [backup-simplify]: Simplify 0.5 into 0.5 11.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.568 * [taylor]: Taking taylor expansion of 1.0 in n 11.568 * [backup-simplify]: Simplify 1.0 into 1.0 11.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.568 * [taylor]: Taking taylor expansion of k in n 11.568 * [backup-simplify]: Simplify k into k 11.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.568 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.568 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.568 * [taylor]: Taking taylor expansion of n in n 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 1 into 1 11.569 * [backup-simplify]: Simplify (/ 1 1) into 1 11.569 * [backup-simplify]: Simplify (log 1) into 0 11.569 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.569 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.569 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.570 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.570 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.570 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.570 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.570 * [taylor]: Taking taylor expansion of 0.5 in n 11.570 * [backup-simplify]: Simplify 0.5 into 0.5 11.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.570 * [taylor]: Taking taylor expansion of 1.0 in n 11.570 * [backup-simplify]: Simplify 1.0 into 1.0 11.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.570 * [taylor]: Taking taylor expansion of k in n 11.570 * [backup-simplify]: Simplify k into k 11.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.570 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.570 * [taylor]: Taking taylor expansion of n in n 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [backup-simplify]: Simplify (/ 1 1) into 1 11.571 * [backup-simplify]: Simplify (log 1) into 0 11.571 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.571 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.571 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.571 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.572 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.572 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.572 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.572 * [taylor]: Taking taylor expansion of -0.5 in k 11.572 * [backup-simplify]: Simplify -0.5 into -0.5 11.572 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.572 * [taylor]: Taking taylor expansion of (log n) in k 11.572 * [taylor]: Taking taylor expansion of n in k 11.572 * [backup-simplify]: Simplify n into n 11.572 * [backup-simplify]: Simplify (log n) into (log n) 11.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.572 * [taylor]: Taking taylor expansion of 1.0 in k 11.572 * [backup-simplify]: Simplify 1.0 into 1.0 11.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.572 * [taylor]: Taking taylor expansion of k in k 11.572 * [backup-simplify]: Simplify 0 into 0 11.572 * [backup-simplify]: Simplify 1 into 1 11.572 * [backup-simplify]: Simplify (/ 1 1) into 1 11.573 * [backup-simplify]: Simplify (- 1) into -1 11.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.573 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.573 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.573 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.573 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.575 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.576 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.576 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.576 * [taylor]: Taking taylor expansion of 0 in k 11.576 * [backup-simplify]: Simplify 0 into 0 11.576 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.579 * [backup-simplify]: Simplify (- 0) into 0 11.579 * [backup-simplify]: Simplify (+ 0 0) into 0 11.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.581 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.582 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.582 * [taylor]: Taking taylor expansion of 0 in k 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.591 * [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 11.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.593 * [backup-simplify]: Simplify (- 0) into 0 11.593 * [backup-simplify]: Simplify (+ 0 0) into 0 11.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.596 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.598 * [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 11.598 * [taylor]: Taking taylor expansion of 0 in k 11.598 * [backup-simplify]: Simplify 0 into 0 11.598 * [backup-simplify]: Simplify 0 into 0 11.599 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.599 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.599 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.599 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.599 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.599 * [taylor]: Taking taylor expansion of 0.5 in k 11.599 * [backup-simplify]: Simplify 0.5 into 0.5 11.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.599 * [taylor]: Taking taylor expansion of k in k 11.599 * [backup-simplify]: Simplify 0 into 0 11.599 * [backup-simplify]: Simplify 1 into 1 11.600 * [backup-simplify]: Simplify (/ 1 1) into 1 11.600 * [taylor]: Taking taylor expansion of 1.0 in k 11.600 * [backup-simplify]: Simplify 1.0 into 1.0 11.600 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.600 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.600 * [taylor]: Taking taylor expansion of -1 in k 11.600 * [backup-simplify]: Simplify -1 into -1 11.600 * [taylor]: Taking taylor expansion of n in k 11.600 * [backup-simplify]: Simplify n into n 11.600 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.600 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.601 * [backup-simplify]: Simplify (+ 1 0) into 1 11.601 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.602 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.602 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.602 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.602 * [taylor]: Taking taylor expansion of 0.5 in n 11.602 * [backup-simplify]: Simplify 0.5 into 0.5 11.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.602 * [taylor]: Taking taylor expansion of k in n 11.602 * [backup-simplify]: Simplify k into k 11.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.602 * [taylor]: Taking taylor expansion of 1.0 in n 11.602 * [backup-simplify]: Simplify 1.0 into 1.0 11.602 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.602 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.602 * [taylor]: Taking taylor expansion of -1 in n 11.602 * [backup-simplify]: Simplify -1 into -1 11.603 * [taylor]: Taking taylor expansion of n in n 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [backup-simplify]: Simplify (/ -1 1) into -1 11.604 * [backup-simplify]: Simplify (log -1) into (log -1) 11.604 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.604 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.604 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.605 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.605 * [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)))) 11.605 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.605 * [taylor]: Taking taylor expansion of 0.5 in n 11.605 * [backup-simplify]: Simplify 0.5 into 0.5 11.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.605 * [taylor]: Taking taylor expansion of k in n 11.605 * [backup-simplify]: Simplify k into k 11.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.606 * [taylor]: Taking taylor expansion of 1.0 in n 11.606 * [backup-simplify]: Simplify 1.0 into 1.0 11.606 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.606 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.606 * [taylor]: Taking taylor expansion of -1 in n 11.606 * [backup-simplify]: Simplify -1 into -1 11.606 * [taylor]: Taking taylor expansion of n in n 11.606 * [backup-simplify]: Simplify 0 into 0 11.606 * [backup-simplify]: Simplify 1 into 1 11.606 * [backup-simplify]: Simplify (/ -1 1) into -1 11.606 * [backup-simplify]: Simplify (log -1) into (log -1) 11.606 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.606 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.607 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.608 * [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)))) 11.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.608 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.608 * [taylor]: Taking taylor expansion of 0.5 in k 11.608 * [backup-simplify]: Simplify 0.5 into 0.5 11.608 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.608 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.608 * [taylor]: Taking taylor expansion of (log -1) in k 11.608 * [taylor]: Taking taylor expansion of -1 in k 11.608 * [backup-simplify]: Simplify -1 into -1 11.608 * [backup-simplify]: Simplify (log -1) into (log -1) 11.608 * [taylor]: Taking taylor expansion of (log n) in k 11.608 * [taylor]: Taking taylor expansion of n in k 11.608 * [backup-simplify]: Simplify n into n 11.608 * [backup-simplify]: Simplify (log n) into (log n) 11.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.608 * [taylor]: Taking taylor expansion of k in k 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [backup-simplify]: Simplify 1 into 1 11.609 * [backup-simplify]: Simplify (/ 1 1) into 1 11.609 * [taylor]: Taking taylor expansion of 1.0 in k 11.609 * [backup-simplify]: Simplify 1.0 into 1.0 11.609 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.609 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.610 * [backup-simplify]: Simplify (+ 1 0) into 1 11.610 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.611 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.611 * [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)))) 11.612 * [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)))) 11.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.613 * [backup-simplify]: Simplify (+ 0 0) into 0 11.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.614 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.615 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.616 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.616 * [taylor]: Taking taylor expansion of 0 in k 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.618 * [backup-simplify]: Simplify (+ 0 0) into 0 11.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.620 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.621 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.621 * [taylor]: Taking taylor expansion of 0 in k 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.626 * [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 11.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.626 * [backup-simplify]: Simplify (+ 0 0) into 0 11.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.630 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.632 * [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 11.632 * [taylor]: Taking taylor expansion of 0 in k 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.633 * [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)))))) 11.633 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.633 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.633 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.633 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.633 * [taylor]: Taking taylor expansion of 1.0 in k 11.633 * [backup-simplify]: Simplify 1.0 into 1.0 11.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.633 * [taylor]: Taking taylor expansion of k in k 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify 1 into 1 11.634 * [backup-simplify]: Simplify (/ 1 1) into 1 11.634 * [backup-simplify]: Simplify (sqrt 0) into 0 11.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.636 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.636 * [taylor]: Taking taylor expansion of 1.0 in k 11.636 * [backup-simplify]: Simplify 1.0 into 1.0 11.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.636 * [taylor]: Taking taylor expansion of k in k 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.637 * [backup-simplify]: Simplify (/ 1 1) into 1 11.637 * [backup-simplify]: Simplify (sqrt 0) into 0 11.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.639 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.639 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.641 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.644 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.645 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.646 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.651 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.652 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.653 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 11.654 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.654 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.654 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.654 * [taylor]: Taking taylor expansion of 1.0 in k 11.654 * [backup-simplify]: Simplify 1.0 into 1.0 11.654 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.654 * [taylor]: Taking taylor expansion of k in k 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify (sqrt 0) into 0 11.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.656 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.656 * [taylor]: Taking taylor expansion of 1.0 in k 11.656 * [backup-simplify]: Simplify 1.0 into 1.0 11.656 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.656 * [taylor]: Taking taylor expansion of k in k 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 1 into 1 11.656 * [backup-simplify]: Simplify (sqrt 0) into 0 11.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.658 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.660 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.665 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.665 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.672 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.672 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.674 * [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)))))))) 11.674 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.674 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.674 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.674 * [taylor]: Taking taylor expansion of 1.0 in k 11.674 * [backup-simplify]: Simplify 1.0 into 1.0 11.674 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.674 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.674 * [taylor]: Taking taylor expansion of -1 in k 11.674 * [backup-simplify]: Simplify -1 into -1 11.674 * [taylor]: Taking taylor expansion of k in k 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ -1 1) into -1 11.675 * [backup-simplify]: Simplify (sqrt 0) into 0 11.676 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.677 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.677 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.677 * [taylor]: Taking taylor expansion of 1.0 in k 11.677 * [backup-simplify]: Simplify 1.0 into 1.0 11.677 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.677 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.677 * [taylor]: Taking taylor expansion of -1 in k 11.677 * [backup-simplify]: Simplify -1 into -1 11.677 * [taylor]: Taking taylor expansion of k in k 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.678 * [backup-simplify]: Simplify (/ -1 1) into -1 11.678 * [backup-simplify]: Simplify (sqrt 0) into 0 11.679 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.680 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.684 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.687 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.687 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.695 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.695 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.696 * [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))))) 11.696 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.697 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) 11.697 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in (k n) around 0 11.697 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in n 11.697 * [taylor]: Taking taylor expansion of 1.0 in n 11.697 * [backup-simplify]: Simplify 1.0 into 1.0 11.697 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in n 11.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 11.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.697 * [taylor]: Taking taylor expansion of k in n 11.697 * [backup-simplify]: Simplify k into k 11.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.697 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 11.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 11.697 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 11.697 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.698 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.698 * [taylor]: Taking taylor expansion of 0.5 in n 11.698 * [backup-simplify]: Simplify 0.5 into 0.5 11.698 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.698 * [taylor]: Taking taylor expansion of 1.0 in n 11.698 * [backup-simplify]: Simplify 1.0 into 1.0 11.698 * [taylor]: Taking taylor expansion of k in n 11.698 * [backup-simplify]: Simplify k into k 11.698 * [taylor]: Taking taylor expansion of (log n) in n 11.698 * [taylor]: Taking taylor expansion of n in n 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 1 into 1 11.698 * [backup-simplify]: Simplify (log 1) into 0 11.698 * [backup-simplify]: Simplify (- k) into (- k) 11.698 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.698 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.698 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.699 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.699 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 11.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 11.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 11.699 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 11.699 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.699 * [taylor]: Taking taylor expansion of 0.25 in n 11.699 * [backup-simplify]: Simplify 0.25 into 0.25 11.699 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.699 * [taylor]: Taking taylor expansion of 1.0 in n 11.699 * [backup-simplify]: Simplify 1.0 into 1.0 11.699 * [taylor]: Taking taylor expansion of k in n 11.699 * [backup-simplify]: Simplify k into k 11.699 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.699 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.699 * [taylor]: Taking taylor expansion of 2.0 in n 11.699 * [backup-simplify]: Simplify 2.0 into 2.0 11.699 * [taylor]: Taking taylor expansion of PI in n 11.699 * [backup-simplify]: Simplify PI into PI 11.699 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.700 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.700 * [backup-simplify]: Simplify (- k) into (- k) 11.700 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.700 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.701 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 11.701 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 11.701 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.701 * [taylor]: Taking taylor expansion of 1.0 in k 11.701 * [backup-simplify]: Simplify 1.0 into 1.0 11.701 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.701 * [taylor]: Taking taylor expansion of k in k 11.701 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 1 into 1 11.702 * [backup-simplify]: Simplify (/ 1 1) into 1 11.702 * [backup-simplify]: Simplify (sqrt 0) into 0 11.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.703 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.703 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.703 * [taylor]: Taking taylor expansion of 0.5 in k 11.703 * [backup-simplify]: Simplify 0.5 into 0.5 11.703 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.703 * [taylor]: Taking taylor expansion of 1.0 in k 11.703 * [backup-simplify]: Simplify 1.0 into 1.0 11.703 * [taylor]: Taking taylor expansion of k in k 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 1 into 1 11.703 * [taylor]: Taking taylor expansion of (log n) in k 11.703 * [taylor]: Taking taylor expansion of n in k 11.703 * [backup-simplify]: Simplify n into n 11.703 * [backup-simplify]: Simplify (log n) into (log n) 11.704 * [backup-simplify]: Simplify (- 0) into 0 11.704 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.704 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.704 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.704 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.704 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.704 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.704 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.704 * [taylor]: Taking taylor expansion of 0.25 in k 11.704 * [backup-simplify]: Simplify 0.25 into 0.25 11.704 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.704 * [taylor]: Taking taylor expansion of 1.0 in k 11.704 * [backup-simplify]: Simplify 1.0 into 1.0 11.705 * [taylor]: Taking taylor expansion of k in k 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 1 into 1 11.705 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.705 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.705 * [taylor]: Taking taylor expansion of 2.0 in k 11.705 * [backup-simplify]: Simplify 2.0 into 2.0 11.705 * [taylor]: Taking taylor expansion of PI in k 11.705 * [backup-simplify]: Simplify PI into PI 11.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.706 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.706 * [backup-simplify]: Simplify (- 0) into 0 11.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.706 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.707 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.709 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.709 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.709 * [taylor]: Taking taylor expansion of 1.0 in k 11.709 * [backup-simplify]: Simplify 1.0 into 1.0 11.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.709 * [taylor]: Taking taylor expansion of k in k 11.709 * [backup-simplify]: Simplify 0 into 0 11.709 * [backup-simplify]: Simplify 1 into 1 11.709 * [backup-simplify]: Simplify (/ 1 1) into 1 11.710 * [backup-simplify]: Simplify (sqrt 0) into 0 11.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.710 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.710 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.710 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.710 * [taylor]: Taking taylor expansion of 0.5 in k 11.710 * [backup-simplify]: Simplify 0.5 into 0.5 11.710 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.710 * [taylor]: Taking taylor expansion of 1.0 in k 11.711 * [backup-simplify]: Simplify 1.0 into 1.0 11.711 * [taylor]: Taking taylor expansion of k in k 11.711 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify 1 into 1 11.711 * [taylor]: Taking taylor expansion of (log n) in k 11.711 * [taylor]: Taking taylor expansion of n in k 11.711 * [backup-simplify]: Simplify n into n 11.711 * [backup-simplify]: Simplify (log n) into (log n) 11.711 * [backup-simplify]: Simplify (- 0) into 0 11.711 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.711 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.711 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.712 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.712 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.712 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.712 * [taylor]: Taking taylor expansion of 0.25 in k 11.712 * [backup-simplify]: Simplify 0.25 into 0.25 11.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.712 * [taylor]: Taking taylor expansion of 1.0 in k 11.712 * [backup-simplify]: Simplify 1.0 into 1.0 11.712 * [taylor]: Taking taylor expansion of k in k 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 1 into 1 11.712 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.712 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.712 * [taylor]: Taking taylor expansion of 2.0 in k 11.712 * [backup-simplify]: Simplify 2.0 into 2.0 11.712 * [taylor]: Taking taylor expansion of PI in k 11.712 * [backup-simplify]: Simplify PI into PI 11.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.713 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.713 * [backup-simplify]: Simplify (- 0) into 0 11.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.714 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.715 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.719 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.723 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 11.726 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 11.727 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 11.728 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.728 * [taylor]: Taking taylor expansion of 0 in n 11.728 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.731 * [backup-simplify]: Simplify (- 1) into -1 11.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.733 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 11.737 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 11.751 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.769 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 11.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.770 * [backup-simplify]: Simplify (- 1) into -1 11.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.771 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 11.772 * [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))) 11.779 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 11.782 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 11.783 * [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))) 11.783 * [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 11.783 * [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 11.783 * [taylor]: Taking taylor expansion of +nan.0 in n 11.783 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.783 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.783 * [taylor]: Taking taylor expansion of 0.5 in n 11.783 * [backup-simplify]: Simplify 0.5 into 0.5 11.783 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.783 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.783 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.783 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.783 * [taylor]: Taking taylor expansion of 1.0 in n 11.783 * [backup-simplify]: Simplify 1.0 into 1.0 11.783 * [taylor]: Taking taylor expansion of (log PI) in n 11.783 * [taylor]: Taking taylor expansion of PI in n 11.783 * [backup-simplify]: Simplify PI into PI 11.784 * [backup-simplify]: Simplify (log PI) into (log PI) 11.784 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.785 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.785 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.785 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.785 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.785 * [taylor]: Taking taylor expansion of 1.0 in n 11.785 * [backup-simplify]: Simplify 1.0 into 1.0 11.785 * [taylor]: Taking taylor expansion of (log n) in n 11.785 * [taylor]: Taking taylor expansion of n in n 11.785 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify 1 into 1 11.786 * [backup-simplify]: Simplify (log 1) into 0 11.786 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.786 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.786 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.786 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.786 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.786 * [taylor]: Taking taylor expansion of 1.0 in n 11.786 * [backup-simplify]: Simplify 1.0 into 1.0 11.786 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.786 * [taylor]: Taking taylor expansion of 2.0 in n 11.786 * [backup-simplify]: Simplify 2.0 into 2.0 11.786 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.787 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.788 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.788 * [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) 11.789 * [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) 11.790 * [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)) 11.791 * [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))) 11.792 * [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) 11.793 * [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)) 11.793 * [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))) 11.794 * [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))) 11.794 * [backup-simplify]: Simplify 0 into 0 11.795 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.798 * [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 11.798 * [backup-simplify]: Simplify (- 0) into 0 11.798 * [backup-simplify]: Simplify (+ 0 0) into 0 11.800 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 11.814 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.848 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.851 * [backup-simplify]: Simplify (- 0) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 11.855 * [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))) 11.871 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 11.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.874 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.882 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 11.887 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) 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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 11.887 * [taylor]: Taking taylor expansion of (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 11.887 * [taylor]: Taking taylor expansion of (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 11.887 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 11.887 * [taylor]: Taking taylor expansion of +nan.0 in n 11.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.887 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 11.887 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.887 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.887 * [taylor]: Taking taylor expansion of 2.0 in n 11.887 * [backup-simplify]: Simplify 2.0 into 2.0 11.887 * [taylor]: Taking taylor expansion of PI in n 11.887 * [backup-simplify]: Simplify PI into PI 11.887 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.888 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.888 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.888 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.888 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.888 * [taylor]: Taking taylor expansion of 0.5 in n 11.888 * [backup-simplify]: Simplify 0.5 into 0.5 11.888 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.888 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.888 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.888 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.888 * [taylor]: Taking taylor expansion of 1.0 in n 11.888 * [backup-simplify]: Simplify 1.0 into 1.0 11.888 * [taylor]: Taking taylor expansion of (log PI) in n 11.888 * [taylor]: Taking taylor expansion of PI in n 11.888 * [backup-simplify]: Simplify PI into PI 11.889 * [backup-simplify]: Simplify (log PI) into (log PI) 11.889 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.890 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.890 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.890 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.890 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.890 * [taylor]: Taking taylor expansion of 1.0 in n 11.890 * [backup-simplify]: Simplify 1.0 into 1.0 11.890 * [taylor]: Taking taylor expansion of (log n) in n 11.890 * [taylor]: Taking taylor expansion of n in n 11.890 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify 1 into 1 11.891 * [backup-simplify]: Simplify (log 1) into 0 11.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.891 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.891 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.891 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.891 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.891 * [taylor]: Taking taylor expansion of 1.0 in n 11.891 * [backup-simplify]: Simplify 1.0 into 1.0 11.891 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.891 * [taylor]: Taking taylor expansion of 2.0 in n 11.891 * [backup-simplify]: Simplify 2.0 into 2.0 11.891 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.892 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.893 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.894 * [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) 11.895 * [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) 11.897 * [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)) 11.898 * [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))) 11.899 * [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) 11.900 * [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 n)))))) in n 11.900 * [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 n))))) in n 11.900 * [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 11.900 * [taylor]: Taking taylor expansion of +nan.0 in n 11.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.900 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.900 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.900 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.900 * [taylor]: Taking taylor expansion of 0.5 in n 11.900 * [backup-simplify]: Simplify 0.5 into 0.5 11.900 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.900 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.900 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.900 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.900 * [taylor]: Taking taylor expansion of 1.0 in n 11.900 * [backup-simplify]: Simplify 1.0 into 1.0 11.900 * [taylor]: Taking taylor expansion of (log PI) in n 11.900 * [taylor]: Taking taylor expansion of PI in n 11.900 * [backup-simplify]: Simplify PI into PI 11.901 * [backup-simplify]: Simplify (log PI) into (log PI) 11.902 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.904 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.904 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.904 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.904 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.904 * [taylor]: Taking taylor expansion of 1.0 in n 11.904 * [backup-simplify]: Simplify 1.0 into 1.0 11.904 * [taylor]: Taking taylor expansion of (log n) in n 11.904 * [taylor]: Taking taylor expansion of n in n 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.904 * [backup-simplify]: Simplify (log 1) into 0 11.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.905 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.905 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.905 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.905 * [taylor]: Taking taylor expansion of 1.0 in n 11.905 * [backup-simplify]: Simplify 1.0 into 1.0 11.905 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.905 * [taylor]: Taking taylor expansion of 2.0 in n 11.905 * [backup-simplify]: Simplify 2.0 into 2.0 11.906 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.907 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.908 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.909 * [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) 11.910 * [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) 11.911 * [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)) 11.912 * [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))) 11.913 * [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) 11.913 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 11.913 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 11.913 * [taylor]: Taking taylor expansion of +nan.0 in n 11.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.913 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 11.913 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 11.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 11.913 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 11.913 * [taylor]: Taking taylor expansion of 0.5 in n 11.913 * [backup-simplify]: Simplify 0.5 into 0.5 11.913 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 11.913 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 11.913 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.913 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.914 * [taylor]: Taking taylor expansion of 1.0 in n 11.914 * [backup-simplify]: Simplify 1.0 into 1.0 11.914 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.914 * [taylor]: Taking taylor expansion of 2.0 in n 11.914 * [backup-simplify]: Simplify 2.0 into 2.0 11.914 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.914 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.915 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.915 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 11.915 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.915 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.915 * [taylor]: Taking taylor expansion of 1.0 in n 11.915 * [backup-simplify]: Simplify 1.0 into 1.0 11.915 * [taylor]: Taking taylor expansion of (log PI) in n 11.915 * [taylor]: Taking taylor expansion of PI in n 11.915 * [backup-simplify]: Simplify PI into PI 11.916 * [backup-simplify]: Simplify (log PI) into (log PI) 11.916 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.917 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.917 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.917 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.917 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.917 * [taylor]: Taking taylor expansion of 1.0 in n 11.917 * [backup-simplify]: Simplify 1.0 into 1.0 11.917 * [taylor]: Taking taylor expansion of (log n) in n 11.917 * [taylor]: Taking taylor expansion of n in n 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.918 * [backup-simplify]: Simplify (log 1) into 0 11.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.918 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.918 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.918 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 11.919 * [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) 11.920 * [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)) 11.921 * [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))) 11.922 * [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) 11.922 * [taylor]: Taking taylor expansion of (log n) in n 11.922 * [taylor]: Taking taylor expansion of n in n 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [backup-simplify]: Simplify (log 1) into 0 11.924 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 11.925 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 11.926 * [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)) 11.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.927 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 11.928 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 11.929 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 11.931 * [backup-simplify]: Simplify (+ (* +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))))) 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)))))) 11.933 * [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))))))) into (- (+ (* +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)))))) 11.936 * [backup-simplify]: Simplify (+ (* +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 (* (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))))))) 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 (* (log n) (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))))))) 11.944 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +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)))))))) 11.950 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (log n) (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))))))) 11.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.952 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 11.953 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 11.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.955 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 11.955 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 11.956 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 11.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.957 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 11.958 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 11.960 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 11.961 * [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 11.962 * [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 11.963 * [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 11.965 * [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 11.965 * [backup-simplify]: Simplify (- 0) into 0 11.965 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.969 * [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 11.969 * [backup-simplify]: Simplify (- 0) into 0 11.970 * [backup-simplify]: Simplify (+ 0 0) into 0 11.970 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.971 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 11.985 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.067 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 12.070 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 12.071 * [backup-simplify]: Simplify (- 0) into 0 12.071 * [backup-simplify]: Simplify (+ 0 0) into 0 12.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 12.082 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 12.116 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.151 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2)))))))))))))) 12.170 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +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 (* 2.0 PI)) (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) (pow (log n) 2))))))))))))))) (+ (* 0 (- (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 12.170 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 12.170 * [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 (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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 12.170 * [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 12.170 * [taylor]: Taking taylor expansion of +nan.0 in n 12.170 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.170 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 12.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 12.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 12.170 * [taylor]: Taking taylor expansion of 0.5 in n 12.170 * [backup-simplify]: Simplify 0.5 into 0.5 12.170 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 12.170 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 12.170 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.170 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.170 * [taylor]: Taking taylor expansion of 1.0 in n 12.170 * [backup-simplify]: Simplify 1.0 into 1.0 12.170 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.170 * [taylor]: Taking taylor expansion of 2.0 in n 12.170 * [backup-simplify]: Simplify 2.0 into 2.0 12.170 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.171 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.172 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.172 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 12.172 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.172 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.172 * [taylor]: Taking taylor expansion of 1.0 in n 12.172 * [backup-simplify]: Simplify 1.0 into 1.0 12.172 * [taylor]: Taking taylor expansion of (log n) in n 12.172 * [taylor]: Taking taylor expansion of n in n 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [backup-simplify]: Simplify (log 1) into 0 12.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.173 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.173 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.173 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.173 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.173 * [taylor]: Taking taylor expansion of 1.0 in n 12.173 * [backup-simplify]: Simplify 1.0 into 1.0 12.173 * [taylor]: Taking taylor expansion of (log PI) in n 12.173 * [taylor]: Taking taylor expansion of PI in n 12.173 * [backup-simplify]: Simplify PI into PI 12.173 * [backup-simplify]: Simplify (log PI) into (log PI) 12.174 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.175 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.175 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.176 * [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) 12.177 * [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)) 12.178 * [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))) 12.179 * [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) 12.179 * [taylor]: Taking taylor expansion of (- (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 12.179 * [taylor]: Taking taylor expansion of (+ (* +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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 12.179 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.179 * [taylor]: Taking taylor expansion of +nan.0 in n 12.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.179 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.179 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 12.179 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.179 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.179 * [taylor]: Taking taylor expansion of 2.0 in n 12.179 * [backup-simplify]: Simplify 2.0 into 2.0 12.179 * [taylor]: Taking taylor expansion of PI in n 12.179 * [backup-simplify]: Simplify PI into PI 12.179 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.180 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.180 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.180 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.180 * [taylor]: Taking taylor expansion of 0.5 in n 12.180 * [backup-simplify]: Simplify 0.5 into 0.5 12.180 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.180 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.180 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.180 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.180 * [taylor]: Taking taylor expansion of 1.0 in n 12.180 * [backup-simplify]: Simplify 1.0 into 1.0 12.180 * [taylor]: Taking taylor expansion of (log PI) in n 12.180 * [taylor]: Taking taylor expansion of PI in n 12.180 * [backup-simplify]: Simplify PI into PI 12.180 * [backup-simplify]: Simplify (log PI) into (log PI) 12.181 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.182 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.182 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.182 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.182 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.182 * [taylor]: Taking taylor expansion of 1.0 in n 12.182 * [backup-simplify]: Simplify 1.0 into 1.0 12.182 * [taylor]: Taking taylor expansion of (log n) in n 12.182 * [taylor]: Taking taylor expansion of n in n 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify 1 into 1 12.182 * [backup-simplify]: Simplify (log 1) into 0 12.183 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.183 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.183 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.183 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.183 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.183 * [taylor]: Taking taylor expansion of 1.0 in n 12.183 * [backup-simplify]: Simplify 1.0 into 1.0 12.183 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.183 * [taylor]: Taking taylor expansion of 2.0 in n 12.183 * [backup-simplify]: Simplify 2.0 into 2.0 12.183 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.184 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.185 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.185 * [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) 12.186 * [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) 12.187 * [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)) 12.188 * [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))) 12.189 * [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) 12.189 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 12.189 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 12.189 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 12.189 * [taylor]: Taking taylor expansion of +nan.0 in n 12.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.189 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 12.189 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.189 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.189 * [taylor]: Taking taylor expansion of 0.5 in n 12.189 * [backup-simplify]: Simplify 0.5 into 0.5 12.189 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.189 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.189 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.189 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.189 * [taylor]: Taking taylor expansion of 1.0 in n 12.189 * [backup-simplify]: Simplify 1.0 into 1.0 12.189 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.189 * [taylor]: Taking taylor expansion of 2.0 in n 12.189 * [backup-simplify]: Simplify 2.0 into 2.0 12.189 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.190 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.191 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.191 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.191 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.191 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.191 * [taylor]: Taking taylor expansion of 1.0 in n 12.191 * [backup-simplify]: Simplify 1.0 into 1.0 12.191 * [taylor]: Taking taylor expansion of (log PI) in n 12.191 * [taylor]: Taking taylor expansion of PI in n 12.191 * [backup-simplify]: Simplify PI into PI 12.191 * [backup-simplify]: Simplify (log PI) into (log PI) 12.192 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.193 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.193 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.193 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.193 * [taylor]: Taking taylor expansion of 1.0 in n 12.193 * [backup-simplify]: Simplify 1.0 into 1.0 12.193 * [taylor]: Taking taylor expansion of (log n) in n 12.193 * [taylor]: Taking taylor expansion of n in n 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (log 1) into 0 12.193 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.194 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.194 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.194 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.195 * [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) 12.196 * [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)) 12.197 * [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))) 12.199 * [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) 12.199 * [taylor]: Taking taylor expansion of (log n) in n 12.199 * [taylor]: Taking taylor expansion of n in n 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [backup-simplify]: Simplify (log 1) into 0 12.199 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 12.199 * [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 n) 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 12.199 * [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 n) 2))) in n 12.199 * [taylor]: Taking taylor expansion of +nan.0 in n 12.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.199 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 12.199 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.199 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.200 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.200 * [taylor]: Taking taylor expansion of 0.5 in n 12.200 * [backup-simplify]: Simplify 0.5 into 0.5 12.200 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.200 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.200 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.200 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.200 * [taylor]: Taking taylor expansion of 1.0 in n 12.200 * [backup-simplify]: Simplify 1.0 into 1.0 12.200 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.200 * [taylor]: Taking taylor expansion of 2.0 in n 12.200 * [backup-simplify]: Simplify 2.0 into 2.0 12.200 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.201 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.203 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.203 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.203 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.203 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.203 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.203 * [taylor]: Taking taylor expansion of 1.0 in n 12.203 * [backup-simplify]: Simplify 1.0 into 1.0 12.203 * [taylor]: Taking taylor expansion of (log PI) in n 12.203 * [taylor]: Taking taylor expansion of PI in n 12.203 * [backup-simplify]: Simplify PI into PI 12.204 * [backup-simplify]: Simplify (log PI) into (log PI) 12.205 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.211 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.212 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.212 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.212 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.212 * [taylor]: Taking taylor expansion of 1.0 in n 12.212 * [backup-simplify]: Simplify 1.0 into 1.0 12.212 * [taylor]: Taking taylor expansion of (log n) in n 12.212 * [taylor]: Taking taylor expansion of n in n 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (log 1) into 0 12.213 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.213 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.213 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.213 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.215 * [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) 12.216 * [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)) 12.217 * [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))) 12.218 * [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) 12.218 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 12.218 * [taylor]: Taking taylor expansion of (log n) in n 12.218 * [taylor]: Taking taylor expansion of n in n 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (log 1) into 0 12.219 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.219 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))) in n 12.220 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (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))))) in n 12.220 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.220 * [taylor]: Taking taylor expansion of +nan.0 in n 12.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.220 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.220 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.220 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.220 * [taylor]: Taking taylor expansion of 2.0 in n 12.220 * [backup-simplify]: Simplify 2.0 into 2.0 12.220 * [taylor]: Taking taylor expansion of PI in n 12.220 * [backup-simplify]: Simplify PI into PI 12.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.222 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.222 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.222 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.222 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.222 * [taylor]: Taking taylor expansion of 0.5 in n 12.222 * [backup-simplify]: Simplify 0.5 into 0.5 12.222 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.222 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.222 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.222 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.222 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.222 * [taylor]: Taking taylor expansion of 1.0 in n 12.222 * [backup-simplify]: Simplify 1.0 into 1.0 12.222 * [taylor]: Taking taylor expansion of (log PI) in n 12.222 * [taylor]: Taking taylor expansion of PI in n 12.222 * [backup-simplify]: Simplify PI into PI 12.223 * [backup-simplify]: Simplify (log PI) into (log PI) 12.223 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.225 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.225 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.225 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.225 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.225 * [taylor]: Taking taylor expansion of 1.0 in n 12.225 * [backup-simplify]: Simplify 1.0 into 1.0 12.225 * [taylor]: Taking taylor expansion of (log n) in n 12.225 * [taylor]: Taking taylor expansion of n in n 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 1 into 1 12.226 * [backup-simplify]: Simplify (log 1) into 0 12.226 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.226 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.226 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.226 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.227 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.227 * [taylor]: Taking taylor expansion of 1.0 in n 12.227 * [backup-simplify]: Simplify 1.0 into 1.0 12.227 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.227 * [taylor]: Taking taylor expansion of 2.0 in n 12.227 * [backup-simplify]: Simplify 2.0 into 2.0 12.227 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.228 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.230 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.230 * [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) 12.231 * [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) 12.233 * [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)) 12.234 * [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))) 12.236 * [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) 12.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 12.236 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 12.236 * [taylor]: Taking taylor expansion of +nan.0 in n 12.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.236 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 12.236 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 12.236 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.236 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.236 * [taylor]: Taking taylor expansion of 2.0 in n 12.236 * [backup-simplify]: Simplify 2.0 into 2.0 12.236 * [taylor]: Taking taylor expansion of PI in n 12.236 * [backup-simplify]: Simplify PI into PI 12.237 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.238 * [taylor]: Taking taylor expansion of (log n) in n 12.238 * [taylor]: Taking taylor expansion of n in n 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify 1 into 1 12.238 * [backup-simplify]: Simplify (log 1) into 0 12.239 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 12.239 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 12.239 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 12.239 * [taylor]: Taking taylor expansion of 0.5 in n 12.239 * [backup-simplify]: Simplify 0.5 into 0.5 12.239 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 12.239 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 12.239 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.239 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.239 * [taylor]: Taking taylor expansion of 1.0 in n 12.239 * [backup-simplify]: Simplify 1.0 into 1.0 12.239 * [taylor]: Taking taylor expansion of (log PI) in n 12.239 * [taylor]: Taking taylor expansion of PI in n 12.239 * [backup-simplify]: Simplify PI into PI 12.240 * [backup-simplify]: Simplify (log PI) into (log PI) 12.241 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.242 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.242 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 12.243 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.243 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.243 * [taylor]: Taking taylor expansion of 1.0 in n 12.243 * [backup-simplify]: Simplify 1.0 into 1.0 12.243 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.243 * [taylor]: Taking taylor expansion of 2.0 in n 12.243 * [backup-simplify]: Simplify 2.0 into 2.0 12.243 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.244 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.246 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.246 * [taylor]: Taking taylor expansion of 1.0 in n 12.246 * [backup-simplify]: Simplify 1.0 into 1.0 12.246 * [taylor]: Taking taylor expansion of (log n) in n 12.246 * [taylor]: Taking taylor expansion of n in n 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (log 1) into 0 12.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.247 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.247 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.248 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.249 * [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) 12.250 * [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)) 12.252 * [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))) 12.253 * [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) 12.255 * [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)) 12.258 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 12.261 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.265 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 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))) 12.265 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.267 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 12.268 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.269 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 12.271 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 12.272 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.275 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.277 * [backup-simplify]: Simplify (* +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 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.279 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 12.282 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 12.284 * [backup-simplify]: Simplify (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 12.287 * [backup-simplify]: Simplify (- (* +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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 12.292 * [backup-simplify]: Simplify (+ (* +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 (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 12.298 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (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)))))) 12.305 * [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 (* 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 (* (* (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 (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 12.313 * [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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) 12.323 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (log (* 2.0 PI)) (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))))))))) 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)) (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)))))))))) 12.329 * [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)) (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 (* (log n) (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)))))))))) 12.338 * [backup-simplify]: Simplify (+ (* +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 (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 (* (* (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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)))))))))))) 12.346 * [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 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))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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)) (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)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 12.360 * [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)) (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)) (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 (* (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 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))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 12.370 * [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 (* (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 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))) (- (* +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)) (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 (* (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)))))))))))))) 12.380 * [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 (* (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 (* (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)))))))))))))) 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 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 n) (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)))))))))))))) 12.404 * [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 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 n) (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)))))))))))))) (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 (* (log n) (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))))))) (* 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)) (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 k 2) (log (* 2.0 PI))) (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 (* (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)))))))))))))))))))))) 12.406 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) 12.406 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in (k n) around 0 12.406 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in n 12.406 * [taylor]: Taking taylor expansion of 1.0 in n 12.406 * [backup-simplify]: Simplify 1.0 into 1.0 12.406 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in n 12.406 * [taylor]: Taking taylor expansion of (sqrt k) in n 12.406 * [taylor]: Taking taylor expansion of k in n 12.407 * [backup-simplify]: Simplify k into k 12.407 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 12.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 12.407 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 12.407 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.407 * [taylor]: Taking taylor expansion of 0.5 in n 12.407 * [backup-simplify]: Simplify 0.5 into 0.5 12.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.407 * [taylor]: Taking taylor expansion of 1.0 in n 12.407 * [backup-simplify]: Simplify 1.0 into 1.0 12.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.407 * [taylor]: Taking taylor expansion of k in n 12.407 * [backup-simplify]: Simplify k into k 12.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.407 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.408 * [taylor]: Taking taylor expansion of n in n 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (/ 1 1) into 1 12.408 * [backup-simplify]: Simplify (log 1) into 0 12.408 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.409 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.409 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.409 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.410 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.410 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 12.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 12.410 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 12.410 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.410 * [taylor]: Taking taylor expansion of 0.25 in n 12.410 * [backup-simplify]: Simplify 0.25 into 0.25 12.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.410 * [taylor]: Taking taylor expansion of 1.0 in n 12.410 * [backup-simplify]: Simplify 1.0 into 1.0 12.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.410 * [taylor]: Taking taylor expansion of k in n 12.410 * [backup-simplify]: Simplify k into k 12.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.410 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.410 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.410 * [taylor]: Taking taylor expansion of 2.0 in n 12.410 * [backup-simplify]: Simplify 2.0 into 2.0 12.410 * [taylor]: Taking taylor expansion of PI in n 12.410 * [backup-simplify]: Simplify PI into PI 12.411 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.412 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.412 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.412 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.412 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.413 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.414 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.414 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.414 * [taylor]: Taking taylor expansion of 1.0 in k 12.415 * [backup-simplify]: Simplify 1.0 into 1.0 12.415 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.415 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.415 * [taylor]: Taking taylor expansion of k in k 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 1 into 1 12.415 * [backup-simplify]: Simplify (sqrt 0) into 0 12.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.416 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.417 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.417 * [taylor]: Taking taylor expansion of 0.5 in k 12.417 * [backup-simplify]: Simplify 0.5 into 0.5 12.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.417 * [taylor]: Taking taylor expansion of 1.0 in k 12.417 * [backup-simplify]: Simplify 1.0 into 1.0 12.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.417 * [taylor]: Taking taylor expansion of k in k 12.417 * [backup-simplify]: Simplify 0 into 0 12.417 * [backup-simplify]: Simplify 1 into 1 12.417 * [backup-simplify]: Simplify (/ 1 1) into 1 12.417 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.417 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.417 * [taylor]: Taking taylor expansion of n in k 12.417 * [backup-simplify]: Simplify n into n 12.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.417 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.418 * [backup-simplify]: Simplify (- 1) into -1 12.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.419 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.419 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.419 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.419 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.419 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.419 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.419 * [taylor]: Taking taylor expansion of 0.25 in k 12.419 * [backup-simplify]: Simplify 0.25 into 0.25 12.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.419 * [taylor]: Taking taylor expansion of 1.0 in k 12.419 * [backup-simplify]: Simplify 1.0 into 1.0 12.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.419 * [taylor]: Taking taylor expansion of k in k 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.420 * [backup-simplify]: Simplify (/ 1 1) into 1 12.420 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.420 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.420 * [taylor]: Taking taylor expansion of 2.0 in k 12.420 * [backup-simplify]: Simplify 2.0 into 2.0 12.420 * [taylor]: Taking taylor expansion of PI in k 12.420 * [backup-simplify]: Simplify PI into PI 12.421 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.422 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.422 * [backup-simplify]: Simplify (- 1) into -1 12.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.423 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.425 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.426 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.426 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.426 * [taylor]: Taking taylor expansion of 1.0 in k 12.426 * [backup-simplify]: Simplify 1.0 into 1.0 12.426 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.426 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.426 * [taylor]: Taking taylor expansion of k in k 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [backup-simplify]: Simplify (sqrt 0) into 0 12.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.428 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.428 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.428 * [taylor]: Taking taylor expansion of 0.5 in k 12.428 * [backup-simplify]: Simplify 0.5 into 0.5 12.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.428 * [taylor]: Taking taylor expansion of 1.0 in k 12.428 * [backup-simplify]: Simplify 1.0 into 1.0 12.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.428 * [taylor]: Taking taylor expansion of k in k 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.429 * [backup-simplify]: Simplify (/ 1 1) into 1 12.429 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.429 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.429 * [taylor]: Taking taylor expansion of n in k 12.429 * [backup-simplify]: Simplify n into n 12.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.429 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.429 * [backup-simplify]: Simplify (- 1) into -1 12.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.430 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.430 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.430 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.430 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.431 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.431 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.431 * [taylor]: Taking taylor expansion of 0.25 in k 12.431 * [backup-simplify]: Simplify 0.25 into 0.25 12.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.431 * [taylor]: Taking taylor expansion of 1.0 in k 12.431 * [backup-simplify]: Simplify 1.0 into 1.0 12.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.431 * [taylor]: Taking taylor expansion of k in k 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 1 into 1 12.431 * [backup-simplify]: Simplify (/ 1 1) into 1 12.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.431 * [taylor]: Taking taylor expansion of 2.0 in k 12.431 * [backup-simplify]: Simplify 2.0 into 2.0 12.431 * [taylor]: Taking taylor expansion of PI in k 12.432 * [backup-simplify]: Simplify PI into PI 12.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.433 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.434 * [backup-simplify]: Simplify (- 1) into -1 12.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.434 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.436 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.438 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.440 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.443 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.444 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.444 * [taylor]: Taking taylor expansion of 0 in n 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.448 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.450 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.452 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.452 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.452 * [taylor]: Taking taylor expansion of +nan.0 in n 12.452 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.452 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.452 * [taylor]: Taking taylor expansion of 0.5 in n 12.452 * [backup-simplify]: Simplify 0.5 into 0.5 12.452 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.452 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.452 * [taylor]: Taking taylor expansion of n in n 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.453 * [backup-simplify]: Simplify (/ 1 1) into 1 12.453 * [backup-simplify]: Simplify (log 1) into 0 12.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.453 * [taylor]: Taking taylor expansion of 1.0 in n 12.453 * [backup-simplify]: Simplify 1.0 into 1.0 12.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.453 * [taylor]: Taking taylor expansion of k in n 12.453 * [backup-simplify]: Simplify k into k 12.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.454 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.454 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.454 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.454 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.455 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.455 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.455 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.455 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.455 * [taylor]: Taking taylor expansion of 0.25 in n 12.455 * [backup-simplify]: Simplify 0.25 into 0.25 12.455 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.455 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.455 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.455 * [taylor]: Taking taylor expansion of 2.0 in n 12.455 * [backup-simplify]: Simplify 2.0 into 2.0 12.455 * [taylor]: Taking taylor expansion of PI in n 12.455 * [backup-simplify]: Simplify PI into PI 12.456 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.457 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.457 * [taylor]: Taking taylor expansion of 1.0 in n 12.457 * [backup-simplify]: Simplify 1.0 into 1.0 12.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.457 * [taylor]: Taking taylor expansion of k in n 12.457 * [backup-simplify]: Simplify k into k 12.457 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.457 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.457 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.459 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.460 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.461 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.463 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.465 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.467 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.468 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.470 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.470 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 12.475 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.484 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.491 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.491 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.491 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.491 * [taylor]: Taking taylor expansion of +nan.0 in n 12.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.492 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.492 * [taylor]: Taking taylor expansion of 0.5 in n 12.492 * [backup-simplify]: Simplify 0.5 into 0.5 12.492 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.492 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.492 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.492 * [taylor]: Taking taylor expansion of n in n 12.492 * [backup-simplify]: Simplify 0 into 0 12.492 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (/ 1 1) into 1 12.493 * [backup-simplify]: Simplify (log 1) into 0 12.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.493 * [taylor]: Taking taylor expansion of 1.0 in n 12.493 * [backup-simplify]: Simplify 1.0 into 1.0 12.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.493 * [taylor]: Taking taylor expansion of k in n 12.493 * [backup-simplify]: Simplify k into k 12.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.494 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.494 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.494 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.494 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.494 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.494 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.494 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.494 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.494 * [taylor]: Taking taylor expansion of 0.25 in n 12.495 * [backup-simplify]: Simplify 0.25 into 0.25 12.495 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.495 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.495 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.495 * [taylor]: Taking taylor expansion of 2.0 in n 12.495 * [backup-simplify]: Simplify 2.0 into 2.0 12.495 * [taylor]: Taking taylor expansion of PI in n 12.495 * [backup-simplify]: Simplify PI into PI 12.495 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.496 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.496 * [taylor]: Taking taylor expansion of 1.0 in n 12.496 * [backup-simplify]: Simplify 1.0 into 1.0 12.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.497 * [taylor]: Taking taylor expansion of k in n 12.497 * [backup-simplify]: Simplify k into k 12.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.497 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.497 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.498 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.499 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.500 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.503 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.505 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.506 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.509 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.510 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.511 * [backup-simplify]: Simplify (- 0) into 0 12.512 * [backup-simplify]: Simplify (+ 0 0) into 0 12.512 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.515 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.517 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 12.519 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.523 * [backup-simplify]: Simplify (- 0) into 0 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.526 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 12.527 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 12.538 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 12.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.552 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.552 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.552 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.552 * [taylor]: Taking taylor expansion of +nan.0 in n 12.552 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.552 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.552 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.552 * [taylor]: Taking taylor expansion of 0.5 in n 12.553 * [backup-simplify]: Simplify 0.5 into 0.5 12.553 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.553 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.553 * [taylor]: Taking taylor expansion of n in n 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify (/ 1 1) into 1 12.554 * [backup-simplify]: Simplify (log 1) into 0 12.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.554 * [taylor]: Taking taylor expansion of 1.0 in n 12.554 * [backup-simplify]: Simplify 1.0 into 1.0 12.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.554 * [taylor]: Taking taylor expansion of k in n 12.554 * [backup-simplify]: Simplify k into k 12.554 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.554 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.555 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.555 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.555 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.555 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.555 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.555 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.555 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.555 * [taylor]: Taking taylor expansion of 0.25 in n 12.555 * [backup-simplify]: Simplify 0.25 into 0.25 12.556 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.556 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.556 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.556 * [taylor]: Taking taylor expansion of 2.0 in n 12.556 * [backup-simplify]: Simplify 2.0 into 2.0 12.556 * [taylor]: Taking taylor expansion of PI in n 12.556 * [backup-simplify]: Simplify PI into PI 12.556 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.558 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.558 * [taylor]: Taking taylor expansion of 1.0 in n 12.558 * [backup-simplify]: Simplify 1.0 into 1.0 12.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.558 * [taylor]: Taking taylor expansion of k in n 12.558 * [backup-simplify]: Simplify k into k 12.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.558 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.558 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.560 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.561 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.562 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.565 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.567 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.568 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.570 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.572 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.579 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k))))))) 12.581 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) 12.581 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in (k n) around 0 12.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in n 12.581 * [taylor]: Taking taylor expansion of 1.0 in n 12.581 * [backup-simplify]: Simplify 1.0 into 1.0 12.581 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in n 12.581 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 12.581 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.581 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.581 * [taylor]: Taking taylor expansion of 0.5 in n 12.581 * [backup-simplify]: Simplify 0.5 into 0.5 12.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.581 * [taylor]: Taking taylor expansion of k in n 12.581 * [backup-simplify]: Simplify k into k 12.581 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.581 * [taylor]: Taking taylor expansion of 1.0 in n 12.581 * [backup-simplify]: Simplify 1.0 into 1.0 12.581 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.581 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.581 * [taylor]: Taking taylor expansion of -1 in n 12.581 * [backup-simplify]: Simplify -1 into -1 12.581 * [taylor]: Taking taylor expansion of n in n 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (/ -1 1) into -1 12.582 * [backup-simplify]: Simplify (log -1) into (log -1) 12.582 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.582 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.583 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.583 * [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)))) 12.583 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 12.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 12.583 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 12.583 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.583 * [taylor]: Taking taylor expansion of 0.25 in n 12.583 * [backup-simplify]: Simplify 0.25 into 0.25 12.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.584 * [taylor]: Taking taylor expansion of k in n 12.584 * [backup-simplify]: Simplify k into k 12.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.584 * [taylor]: Taking taylor expansion of 1.0 in n 12.584 * [backup-simplify]: Simplify 1.0 into 1.0 12.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.584 * [taylor]: Taking taylor expansion of 2.0 in n 12.584 * [backup-simplify]: Simplify 2.0 into 2.0 12.584 * [taylor]: Taking taylor expansion of PI in n 12.584 * [backup-simplify]: Simplify PI into PI 12.584 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.585 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.585 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.585 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.586 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.586 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 12.586 * [taylor]: Taking taylor expansion of (/ -1 k) in n 12.586 * [taylor]: Taking taylor expansion of -1 in n 12.586 * [backup-simplify]: Simplify -1 into -1 12.586 * [taylor]: Taking taylor expansion of k in n 12.586 * [backup-simplify]: Simplify k into k 12.586 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 12.586 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 12.587 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 12.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 12.588 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.589 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.590 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 12.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.591 * [taylor]: Taking taylor expansion of 1.0 in k 12.591 * [backup-simplify]: Simplify 1.0 into 1.0 12.591 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.591 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.591 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.591 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.591 * [taylor]: Taking taylor expansion of 0.5 in k 12.591 * [backup-simplify]: Simplify 0.5 into 0.5 12.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.591 * [taylor]: Taking taylor expansion of k in k 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 1 into 1 12.591 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [taylor]: Taking taylor expansion of 1.0 in k 12.591 * [backup-simplify]: Simplify 1.0 into 1.0 12.591 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.591 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.591 * [taylor]: Taking taylor expansion of -1 in k 12.591 * [backup-simplify]: Simplify -1 into -1 12.591 * [taylor]: Taking taylor expansion of n in k 12.591 * [backup-simplify]: Simplify n into n 12.591 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.591 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.592 * [backup-simplify]: Simplify (+ 1 0) into 1 12.592 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.592 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.592 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.592 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.592 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.592 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.592 * [taylor]: Taking taylor expansion of 0.25 in k 12.592 * [backup-simplify]: Simplify 0.25 into 0.25 12.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.592 * [taylor]: Taking taylor expansion of k in k 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1 1) into 1 12.593 * [taylor]: Taking taylor expansion of 1.0 in k 12.593 * [backup-simplify]: Simplify 1.0 into 1.0 12.593 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.593 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.593 * [taylor]: Taking taylor expansion of 2.0 in k 12.593 * [backup-simplify]: Simplify 2.0 into 2.0 12.593 * [taylor]: Taking taylor expansion of PI in k 12.593 * [backup-simplify]: Simplify PI into PI 12.593 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.594 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.594 * [backup-simplify]: Simplify (+ 1 0) into 1 12.594 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.595 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.596 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.596 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.596 * [taylor]: Taking taylor expansion of -1 in k 12.596 * [backup-simplify]: Simplify -1 into -1 12.596 * [taylor]: Taking taylor expansion of k in k 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify 1 into 1 12.596 * [backup-simplify]: Simplify (/ -1 1) into -1 12.597 * [backup-simplify]: Simplify (sqrt 0) into 0 12.597 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.599 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.600 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.601 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.601 * [taylor]: Taking taylor expansion of 1.0 in k 12.601 * [backup-simplify]: Simplify 1.0 into 1.0 12.601 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.601 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.601 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.601 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.601 * [taylor]: Taking taylor expansion of 0.5 in k 12.601 * [backup-simplify]: Simplify 0.5 into 0.5 12.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.601 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.601 * [taylor]: Taking taylor expansion of k in k 12.601 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify 1 into 1 12.601 * [backup-simplify]: Simplify (/ 1 1) into 1 12.601 * [taylor]: Taking taylor expansion of 1.0 in k 12.601 * [backup-simplify]: Simplify 1.0 into 1.0 12.601 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.601 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.601 * [taylor]: Taking taylor expansion of -1 in k 12.601 * [backup-simplify]: Simplify -1 into -1 12.602 * [taylor]: Taking taylor expansion of n in k 12.602 * [backup-simplify]: Simplify n into n 12.602 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.602 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.602 * [backup-simplify]: Simplify (+ 1 0) into 1 12.602 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.602 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.602 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.602 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.602 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.602 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.602 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.603 * [taylor]: Taking taylor expansion of 0.25 in k 12.603 * [backup-simplify]: Simplify 0.25 into 0.25 12.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.603 * [taylor]: Taking taylor expansion of k in k 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 1 into 1 12.603 * [backup-simplify]: Simplify (/ 1 1) into 1 12.603 * [taylor]: Taking taylor expansion of 1.0 in k 12.603 * [backup-simplify]: Simplify 1.0 into 1.0 12.603 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.603 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.603 * [taylor]: Taking taylor expansion of 2.0 in k 12.603 * [backup-simplify]: Simplify 2.0 into 2.0 12.603 * [taylor]: Taking taylor expansion of PI in k 12.603 * [backup-simplify]: Simplify PI into PI 12.603 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.604 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.604 * [backup-simplify]: Simplify (+ 1 0) into 1 12.604 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.605 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.606 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.606 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.606 * [taylor]: Taking taylor expansion of -1 in k 12.606 * [backup-simplify]: Simplify -1 into -1 12.606 * [taylor]: Taking taylor expansion of k in k 12.606 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify 1 into 1 12.607 * [backup-simplify]: Simplify (/ -1 1) into -1 12.607 * [backup-simplify]: Simplify (sqrt 0) into 0 12.608 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.609 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.610 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.611 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.612 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.613 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.613 * [taylor]: Taking taylor expansion of +nan.0 in n 12.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.613 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.613 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.613 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.613 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.613 * [taylor]: Taking taylor expansion of 0.25 in n 12.613 * [backup-simplify]: Simplify 0.25 into 0.25 12.613 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.613 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.613 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.613 * [taylor]: Taking taylor expansion of 2.0 in n 12.613 * [backup-simplify]: Simplify 2.0 into 2.0 12.613 * [taylor]: Taking taylor expansion of PI in n 12.613 * [backup-simplify]: Simplify PI into PI 12.613 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.614 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.614 * [taylor]: Taking taylor expansion of k in n 12.614 * [backup-simplify]: Simplify k into k 12.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.614 * [taylor]: Taking taylor expansion of 1.0 in n 12.614 * [backup-simplify]: Simplify 1.0 into 1.0 12.614 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.615 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.616 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.617 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.617 * [taylor]: Taking taylor expansion of 0.5 in n 12.617 * [backup-simplify]: Simplify 0.5 into 0.5 12.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.617 * [taylor]: Taking taylor expansion of k in n 12.617 * [backup-simplify]: Simplify k into k 12.617 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.617 * [taylor]: Taking taylor expansion of 1.0 in n 12.617 * [backup-simplify]: Simplify 1.0 into 1.0 12.617 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.617 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.617 * [taylor]: Taking taylor expansion of -1 in n 12.617 * [backup-simplify]: Simplify -1 into -1 12.617 * [taylor]: Taking taylor expansion of n in n 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (/ -1 1) into -1 12.617 * [backup-simplify]: Simplify (log -1) into (log -1) 12.618 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.618 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.619 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.619 * [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)))) 12.625 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.626 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.627 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.628 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.630 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.631 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.634 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.636 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.638 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.638 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.638 * [taylor]: Taking taylor expansion of +nan.0 in n 12.638 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.638 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.638 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.638 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.638 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.638 * [taylor]: Taking taylor expansion of 0.25 in n 12.638 * [backup-simplify]: Simplify 0.25 into 0.25 12.638 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.638 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.638 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.638 * [taylor]: Taking taylor expansion of 2.0 in n 12.638 * [backup-simplify]: Simplify 2.0 into 2.0 12.638 * [taylor]: Taking taylor expansion of PI in n 12.638 * [backup-simplify]: Simplify PI into PI 12.639 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.639 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.639 * [taylor]: Taking taylor expansion of k in n 12.639 * [backup-simplify]: Simplify k into k 12.639 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.639 * [taylor]: Taking taylor expansion of 1.0 in n 12.639 * [backup-simplify]: Simplify 1.0 into 1.0 12.639 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.640 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.641 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.642 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.642 * [taylor]: Taking taylor expansion of 0.5 in n 12.642 * [backup-simplify]: Simplify 0.5 into 0.5 12.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.642 * [taylor]: Taking taylor expansion of k in n 12.642 * [backup-simplify]: Simplify k into k 12.642 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.642 * [taylor]: Taking taylor expansion of 1.0 in n 12.642 * [backup-simplify]: Simplify 1.0 into 1.0 12.642 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.642 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.642 * [taylor]: Taking taylor expansion of -1 in n 12.642 * [backup-simplify]: Simplify -1 into -1 12.642 * [taylor]: Taking taylor expansion of n in n 12.642 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify 1 into 1 12.642 * [backup-simplify]: Simplify (/ -1 1) into -1 12.643 * [backup-simplify]: Simplify (log -1) into (log -1) 12.643 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.643 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.644 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.644 * [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)))) 12.647 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.649 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.651 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.653 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.655 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.658 * [backup-simplify]: Simplify (+ 0 0) into 0 12.659 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.660 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 12.661 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 12.662 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.663 * [backup-simplify]: Simplify (+ 0 0) into 0 12.664 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.665 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.666 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 12.668 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.670 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 12.672 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 12.675 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 12.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.681 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.684 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (+ (* 0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.684 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.684 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.684 * [taylor]: Taking taylor expansion of +nan.0 in n 12.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.684 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.684 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.684 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.684 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.684 * [taylor]: Taking taylor expansion of 0.25 in n 12.684 * [backup-simplify]: Simplify 0.25 into 0.25 12.684 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.684 * [taylor]: Taking taylor expansion of 2.0 in n 12.684 * [backup-simplify]: Simplify 2.0 into 2.0 12.684 * [taylor]: Taking taylor expansion of PI in n 12.684 * [backup-simplify]: Simplify PI into PI 12.685 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.685 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.686 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.686 * [taylor]: Taking taylor expansion of k in n 12.686 * [backup-simplify]: Simplify k into k 12.686 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.686 * [taylor]: Taking taylor expansion of 1.0 in n 12.686 * [backup-simplify]: Simplify 1.0 into 1.0 12.686 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.687 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.687 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.688 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.688 * [taylor]: Taking taylor expansion of 0.5 in n 12.688 * [backup-simplify]: Simplify 0.5 into 0.5 12.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.688 * [taylor]: Taking taylor expansion of k in n 12.688 * [backup-simplify]: Simplify k into k 12.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.688 * [taylor]: Taking taylor expansion of 1.0 in n 12.688 * [backup-simplify]: Simplify 1.0 into 1.0 12.688 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.688 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.688 * [taylor]: Taking taylor expansion of -1 in n 12.688 * [backup-simplify]: Simplify -1 into -1 12.688 * [taylor]: Taking taylor expansion of n in n 12.688 * [backup-simplify]: Simplify 0 into 0 12.688 * [backup-simplify]: Simplify 1 into 1 12.689 * [backup-simplify]: Simplify (/ -1 1) into -1 12.689 * [backup-simplify]: Simplify (log -1) into (log -1) 12.689 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.690 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.690 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.691 * [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)))) 12.692 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.694 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.695 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.696 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.697 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.702 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2)))))))) 12.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 12.703 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) into (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 12.703 * [approximate]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in (k n) around 0 12.703 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 12.703 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.703 * [taylor]: Taking taylor expansion of 0.5 in n 12.703 * [backup-simplify]: Simplify 0.5 into 0.5 12.703 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.703 * [taylor]: Taking taylor expansion of 1.0 in n 12.703 * [backup-simplify]: Simplify 1.0 into 1.0 12.703 * [taylor]: Taking taylor expansion of k in n 12.703 * [backup-simplify]: Simplify k into k 12.703 * [taylor]: Taking taylor expansion of (log n) in n 12.703 * [taylor]: Taking taylor expansion of n in n 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 1 into 1 12.704 * [backup-simplify]: Simplify (log 1) into 0 12.704 * [backup-simplify]: Simplify (- k) into (- k) 12.704 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.704 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.704 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.704 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.704 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.704 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 12.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 12.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 12.705 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 12.705 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 12.705 * [taylor]: Taking taylor expansion of 0.25 in n 12.705 * [backup-simplify]: Simplify 0.25 into 0.25 12.705 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.705 * [taylor]: Taking taylor expansion of 1.0 in n 12.705 * [backup-simplify]: Simplify 1.0 into 1.0 12.705 * [taylor]: Taking taylor expansion of k in n 12.705 * [backup-simplify]: Simplify k into k 12.705 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.705 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.705 * [taylor]: Taking taylor expansion of 2.0 in n 12.705 * [backup-simplify]: Simplify 2.0 into 2.0 12.705 * [taylor]: Taking taylor expansion of PI in n 12.705 * [backup-simplify]: Simplify PI into PI 12.705 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.707 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.707 * [backup-simplify]: Simplify (- k) into (- k) 12.707 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.707 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 12.708 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 12.709 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 12.709 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.709 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.709 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.709 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.709 * [taylor]: Taking taylor expansion of 0.5 in k 12.710 * [backup-simplify]: Simplify 0.5 into 0.5 12.710 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.710 * [taylor]: Taking taylor expansion of 1.0 in k 12.710 * [backup-simplify]: Simplify 1.0 into 1.0 12.710 * [taylor]: Taking taylor expansion of k in k 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [taylor]: Taking taylor expansion of (log n) in k 12.710 * [taylor]: Taking taylor expansion of n in k 12.710 * [backup-simplify]: Simplify n into n 12.710 * [backup-simplify]: Simplify (log n) into (log n) 12.710 * [backup-simplify]: Simplify (- 0) into 0 12.711 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.711 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.711 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.711 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.711 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.712 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.712 * [taylor]: Taking taylor expansion of 0.25 in k 12.712 * [backup-simplify]: Simplify 0.25 into 0.25 12.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.712 * [taylor]: Taking taylor expansion of 1.0 in k 12.712 * [backup-simplify]: Simplify 1.0 into 1.0 12.712 * [taylor]: Taking taylor expansion of k in k 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 1 into 1 12.712 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.712 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.712 * [taylor]: Taking taylor expansion of 2.0 in k 12.712 * [backup-simplify]: Simplify 2.0 into 2.0 12.712 * [taylor]: Taking taylor expansion of PI in k 12.712 * [backup-simplify]: Simplify PI into PI 12.713 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.714 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.714 * [backup-simplify]: Simplify (- 0) into 0 12.714 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.715 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.717 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.720 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.720 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.720 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.720 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.720 * [taylor]: Taking taylor expansion of 0.5 in k 12.720 * [backup-simplify]: Simplify 0.5 into 0.5 12.720 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.720 * [taylor]: Taking taylor expansion of 1.0 in k 12.720 * [backup-simplify]: Simplify 1.0 into 1.0 12.720 * [taylor]: Taking taylor expansion of k in k 12.720 * [backup-simplify]: Simplify 0 into 0 12.720 * [backup-simplify]: Simplify 1 into 1 12.720 * [taylor]: Taking taylor expansion of (log n) in k 12.720 * [taylor]: Taking taylor expansion of n in k 12.720 * [backup-simplify]: Simplify n into n 12.720 * [backup-simplify]: Simplify (log n) into (log n) 12.720 * [backup-simplify]: Simplify (- 0) into 0 12.721 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.721 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.721 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.721 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.721 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.721 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.721 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.721 * [taylor]: Taking taylor expansion of 0.25 in k 12.721 * [backup-simplify]: Simplify 0.25 into 0.25 12.721 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.721 * [taylor]: Taking taylor expansion of 1.0 in k 12.721 * [backup-simplify]: Simplify 1.0 into 1.0 12.721 * [taylor]: Taking taylor expansion of k in k 12.721 * [backup-simplify]: Simplify 0 into 0 12.721 * [backup-simplify]: Simplify 1 into 1 12.721 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.721 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.721 * [taylor]: Taking taylor expansion of 2.0 in k 12.721 * [backup-simplify]: Simplify 2.0 into 2.0 12.721 * [taylor]: Taking taylor expansion of PI in k 12.722 * [backup-simplify]: Simplify PI into PI 12.722 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.722 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.723 * [backup-simplify]: Simplify (- 0) into 0 12.723 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.723 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.724 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.726 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.728 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 12.730 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 12.730 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.730 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.730 * [taylor]: Taking taylor expansion of 0.5 in n 12.730 * [backup-simplify]: Simplify 0.5 into 0.5 12.730 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.730 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.730 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.730 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.730 * [taylor]: Taking taylor expansion of 1.0 in n 12.730 * [backup-simplify]: Simplify 1.0 into 1.0 12.730 * [taylor]: Taking taylor expansion of (log PI) in n 12.730 * [taylor]: Taking taylor expansion of PI in n 12.730 * [backup-simplify]: Simplify PI into PI 12.730 * [backup-simplify]: Simplify (log PI) into (log PI) 12.731 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.732 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.732 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.732 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.732 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.732 * [taylor]: Taking taylor expansion of 1.0 in n 12.732 * [backup-simplify]: Simplify 1.0 into 1.0 12.732 * [taylor]: Taking taylor expansion of (log n) in n 12.732 * [taylor]: Taking taylor expansion of n in n 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 1 into 1 12.737 * [backup-simplify]: Simplify (log 1) into 0 12.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.738 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.738 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.738 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.738 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.738 * [taylor]: Taking taylor expansion of 1.0 in n 12.738 * [backup-simplify]: Simplify 1.0 into 1.0 12.738 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.738 * [taylor]: Taking taylor expansion of 2.0 in n 12.738 * [backup-simplify]: Simplify 2.0 into 2.0 12.738 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.739 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.740 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.740 * [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) 12.741 * [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) 12.742 * [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)) 12.742 * [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))) 12.743 * [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) 12.744 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (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) 1.0) 0.5) 12.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.746 * [backup-simplify]: Simplify (- 1) into -1 12.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.747 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 12.750 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 12.763 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.782 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 12.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.783 * [backup-simplify]: Simplify (- 1) into -1 12.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.784 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 12.785 * [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))) 12.792 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 12.792 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 12.792 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 12.792 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.792 * [taylor]: Taking taylor expansion of 0.5 in n 12.792 * [backup-simplify]: Simplify 0.5 into 0.5 12.792 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.792 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.792 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.792 * [taylor]: Taking taylor expansion of 2.0 in n 12.792 * [backup-simplify]: Simplify 2.0 into 2.0 12.792 * [taylor]: Taking taylor expansion of PI in n 12.792 * [backup-simplify]: Simplify PI into PI 12.793 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.793 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.793 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.793 * [taylor]: Taking taylor expansion of 0.5 in n 12.793 * [backup-simplify]: Simplify 0.5 into 0.5 12.793 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.793 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.793 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.793 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.793 * [taylor]: Taking taylor expansion of 1.0 in n 12.793 * [backup-simplify]: Simplify 1.0 into 1.0 12.793 * [taylor]: Taking taylor expansion of (log PI) in n 12.793 * [taylor]: Taking taylor expansion of PI in n 12.793 * [backup-simplify]: Simplify PI into PI 12.794 * [backup-simplify]: Simplify (log PI) into (log PI) 12.794 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.795 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.795 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.795 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.795 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.795 * [taylor]: Taking taylor expansion of 1.0 in n 12.795 * [backup-simplify]: Simplify 1.0 into 1.0 12.795 * [taylor]: Taking taylor expansion of (log n) in n 12.795 * [taylor]: Taking taylor expansion of n in n 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify 1 into 1 12.796 * [backup-simplify]: Simplify (log 1) into 0 12.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.796 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.796 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.796 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.796 * [taylor]: Taking taylor expansion of 1.0 in n 12.796 * [backup-simplify]: Simplify 1.0 into 1.0 12.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.796 * [taylor]: Taking taylor expansion of 2.0 in n 12.796 * [backup-simplify]: Simplify 2.0 into 2.0 12.797 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.797 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.798 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.798 * [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) 12.799 * [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) 12.800 * [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)) 12.801 * [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))) 12.802 * [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) 12.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 12.802 * [taylor]: Taking taylor expansion of 0.5 in n 12.802 * [backup-simplify]: Simplify 0.5 into 0.5 12.802 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 12.802 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.802 * [taylor]: Taking taylor expansion of 0.5 in n 12.802 * [backup-simplify]: Simplify 0.5 into 0.5 12.802 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.802 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.802 * [taylor]: Taking taylor expansion of 1.0 in n 12.802 * [backup-simplify]: Simplify 1.0 into 1.0 12.802 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.802 * [taylor]: Taking taylor expansion of 2.0 in n 12.802 * [backup-simplify]: Simplify 2.0 into 2.0 12.802 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.803 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.804 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.804 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.804 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.804 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 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 PI) in n 12.804 * [taylor]: Taking taylor expansion of PI in n 12.804 * [backup-simplify]: Simplify PI into PI 12.804 * [backup-simplify]: Simplify (log PI) into (log PI) 12.805 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.806 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.806 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.806 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 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 n) in n 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 12.806 * [backup-simplify]: Simplify (log 1) into 0 12.806 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.806 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.806 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.807 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.808 * [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) 12.809 * [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)) 12.810 * [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))) 12.811 * [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) 12.812 * [taylor]: Taking taylor expansion of (log n) in n 12.812 * [taylor]: Taking taylor expansion of n in n 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify 1 into 1 12.812 * [backup-simplify]: Simplify (log 1) into 0 12.814 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (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 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.817 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.817 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.819 * [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 n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 12.820 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.823 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 12.827 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.830 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.832 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 12.833 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 12.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.834 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 12.835 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 12.835 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 12.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.836 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 12.837 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 12.838 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 12.839 * [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 12.841 * [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 12.842 * [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 12.842 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.849 * [backup-simplify]: Simplify (- 0) into 0 12.849 * [backup-simplify]: Simplify (+ 0 0) into 0 12.849 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.850 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 12.859 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.895 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.898 * [backup-simplify]: Simplify (- 0) into 0 12.898 * [backup-simplify]: Simplify (+ 0 0) into 0 12.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 12.902 * [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))) 12.922 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 12.922 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 12.922 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 12.922 * [taylor]: Taking taylor expansion of 0.125 in n 12.922 * [backup-simplify]: Simplify 0.125 into 0.125 12.922 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 12.922 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.922 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.922 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.922 * [taylor]: Taking taylor expansion of 0.5 in n 12.922 * [backup-simplify]: Simplify 0.5 into 0.5 12.922 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.923 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.923 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.923 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.923 * [taylor]: Taking taylor expansion of 1.0 in n 12.923 * [backup-simplify]: Simplify 1.0 into 1.0 12.923 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.923 * [taylor]: Taking taylor expansion of 2.0 in n 12.923 * [backup-simplify]: Simplify 2.0 into 2.0 12.923 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.924 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.924 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.925 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.925 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.925 * [taylor]: Taking taylor expansion of 1.0 in n 12.925 * [backup-simplify]: Simplify 1.0 into 1.0 12.925 * [taylor]: Taking taylor expansion of (log PI) in n 12.925 * [taylor]: Taking taylor expansion of PI in n 12.925 * [backup-simplify]: Simplify PI into PI 12.925 * [backup-simplify]: Simplify (log PI) into (log PI) 12.926 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.927 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.927 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.927 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.927 * [taylor]: Taking taylor expansion of 1.0 in n 12.927 * [backup-simplify]: Simplify 1.0 into 1.0 12.927 * [taylor]: Taking taylor expansion of (log n) in n 12.927 * [taylor]: Taking taylor expansion of n in n 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [backup-simplify]: Simplify (log 1) into 0 12.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.927 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.927 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.928 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.929 * [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) 12.930 * [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)) 12.931 * [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))) 12.931 * [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) 12.932 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 12.932 * [taylor]: Taking taylor expansion of (log n) in n 12.932 * [taylor]: Taking taylor expansion of n in n 12.932 * [backup-simplify]: Simplify 0 into 0 12.932 * [backup-simplify]: Simplify 1 into 1 12.932 * [backup-simplify]: Simplify (log 1) into 0 12.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.932 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 12.932 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.932 * [taylor]: Taking taylor expansion of 0.125 in n 12.932 * [backup-simplify]: Simplify 0.125 into 0.125 12.932 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 12.932 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 12.932 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.932 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.932 * [taylor]: Taking taylor expansion of 2.0 in n 12.932 * [backup-simplify]: Simplify 2.0 into 2.0 12.932 * [taylor]: Taking taylor expansion of PI in n 12.932 * [backup-simplify]: Simplify PI into PI 12.933 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.933 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.933 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.933 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.933 * [taylor]: Taking taylor expansion of 0.5 in n 12.933 * [backup-simplify]: Simplify 0.5 into 0.5 12.933 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.934 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.934 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.934 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.934 * [taylor]: Taking taylor expansion of 1.0 in n 12.934 * [backup-simplify]: Simplify 1.0 into 1.0 12.934 * [taylor]: Taking taylor expansion of (log PI) in n 12.934 * [taylor]: Taking taylor expansion of PI in n 12.934 * [backup-simplify]: Simplify PI into PI 12.934 * [backup-simplify]: Simplify (log PI) into (log PI) 12.934 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.935 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.935 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.935 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.936 * [taylor]: Taking taylor expansion of 1.0 in n 12.936 * [backup-simplify]: Simplify 1.0 into 1.0 12.936 * [taylor]: Taking taylor expansion of (log n) in n 12.936 * [taylor]: Taking taylor expansion of n in n 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [backup-simplify]: Simplify (log 1) into 0 12.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.936 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.936 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.936 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.936 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.936 * [taylor]: Taking taylor expansion of 1.0 in n 12.936 * [backup-simplify]: Simplify 1.0 into 1.0 12.936 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.936 * [taylor]: Taking taylor expansion of 2.0 in n 12.936 * [backup-simplify]: Simplify 2.0 into 2.0 12.937 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.937 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.938 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.939 * [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) 12.939 * [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) 12.940 * [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)) 12.941 * [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))) 12.942 * [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) 12.942 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 12.942 * [taylor]: Taking taylor expansion of 0.25 in n 12.942 * [backup-simplify]: Simplify 0.25 into 0.25 12.942 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 12.942 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 12.942 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.942 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.942 * [taylor]: Taking taylor expansion of 2.0 in n 12.942 * [backup-simplify]: Simplify 2.0 into 2.0 12.942 * [taylor]: Taking taylor expansion of PI in n 12.942 * [backup-simplify]: Simplify PI into PI 12.943 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.943 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.943 * [taylor]: Taking taylor expansion of (log n) in n 12.943 * [taylor]: Taking taylor expansion of n in n 12.943 * [backup-simplify]: Simplify 0 into 0 12.943 * [backup-simplify]: Simplify 1 into 1 12.944 * [backup-simplify]: Simplify (log 1) into 0 12.944 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 12.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 12.944 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 12.944 * [taylor]: Taking taylor expansion of 0.5 in n 12.944 * [backup-simplify]: Simplify 0.5 into 0.5 12.944 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 12.944 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 12.944 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.944 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.944 * [taylor]: Taking taylor expansion of 1.0 in n 12.944 * [backup-simplify]: Simplify 1.0 into 1.0 12.944 * [taylor]: Taking taylor expansion of (log PI) in n 12.944 * [taylor]: Taking taylor expansion of PI in n 12.944 * [backup-simplify]: Simplify PI into PI 12.944 * [backup-simplify]: Simplify (log PI) into (log PI) 12.945 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.946 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.946 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 12.946 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.946 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.946 * [taylor]: Taking taylor expansion of 1.0 in n 12.946 * [backup-simplify]: Simplify 1.0 into 1.0 12.946 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.946 * [taylor]: Taking taylor expansion of 2.0 in n 12.946 * [backup-simplify]: Simplify 2.0 into 2.0 12.946 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.947 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.948 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.948 * [taylor]: Taking taylor expansion of 1.0 in n 12.948 * [backup-simplify]: Simplify 1.0 into 1.0 12.948 * [taylor]: Taking taylor expansion of (log n) in n 12.948 * [taylor]: Taking taylor expansion of n in n 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.948 * [backup-simplify]: Simplify (log 1) into 0 12.948 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.948 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.948 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.949 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.950 * [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) 12.950 * [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)) 12.951 * [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))) 12.952 * [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) 12.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.953 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 12.954 * [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 n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 12.955 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.956 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 12.964 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 12.968 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 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 n 1.0) (pow PI 1.0))) 0.5))) 12.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.969 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 12.972 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (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 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 12.975 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 12.981 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 12.988 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 12.996 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 13.012 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (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) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 13.014 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) 13.014 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in (k n) around 0 13.014 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 13.014 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.014 * [taylor]: Taking taylor expansion of 0.5 in n 13.014 * [backup-simplify]: Simplify 0.5 into 0.5 13.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.015 * [taylor]: Taking taylor expansion of 1.0 in n 13.015 * [backup-simplify]: Simplify 1.0 into 1.0 13.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.015 * [taylor]: Taking taylor expansion of k in n 13.015 * [backup-simplify]: Simplify k into k 13.015 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.015 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.015 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.015 * [taylor]: Taking taylor expansion of n in n 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [backup-simplify]: Simplify (/ 1 1) into 1 13.016 * [backup-simplify]: Simplify (log 1) into 0 13.016 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.016 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.016 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.017 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 13.017 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 13.017 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 13.017 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 13.017 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 13.017 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.017 * [taylor]: Taking taylor expansion of 0.25 in n 13.017 * [backup-simplify]: Simplify 0.25 into 0.25 13.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.017 * [taylor]: Taking taylor expansion of 1.0 in n 13.017 * [backup-simplify]: Simplify 1.0 into 1.0 13.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.017 * [taylor]: Taking taylor expansion of k in n 13.017 * [backup-simplify]: Simplify k into k 13.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.018 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.018 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.018 * [taylor]: Taking taylor expansion of 2.0 in n 13.018 * [backup-simplify]: Simplify 2.0 into 2.0 13.018 * [taylor]: Taking taylor expansion of PI in n 13.018 * [backup-simplify]: Simplify PI into PI 13.018 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.019 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.019 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.020 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.020 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.021 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 13.022 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.022 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 13.022 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.022 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.022 * [taylor]: Taking taylor expansion of 0.5 in k 13.022 * [backup-simplify]: Simplify 0.5 into 0.5 13.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.023 * [taylor]: Taking taylor expansion of 1.0 in k 13.023 * [backup-simplify]: Simplify 1.0 into 1.0 13.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.023 * [taylor]: Taking taylor expansion of k in k 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [backup-simplify]: Simplify (/ 1 1) into 1 13.023 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.023 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.023 * [taylor]: Taking taylor expansion of n in k 13.023 * [backup-simplify]: Simplify n into n 13.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.024 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.024 * [backup-simplify]: Simplify (- 1) into -1 13.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.025 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.025 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 13.025 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 13.025 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 13.025 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.025 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.025 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.025 * [taylor]: Taking taylor expansion of 0.25 in k 13.025 * [backup-simplify]: Simplify 0.25 into 0.25 13.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.025 * [taylor]: Taking taylor expansion of 1.0 in k 13.025 * [backup-simplify]: Simplify 1.0 into 1.0 13.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.025 * [taylor]: Taking taylor expansion of k in k 13.025 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify 1 into 1 13.025 * [backup-simplify]: Simplify (/ 1 1) into 1 13.025 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.025 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.025 * [taylor]: Taking taylor expansion of 2.0 in k 13.025 * [backup-simplify]: Simplify 2.0 into 2.0 13.025 * [taylor]: Taking taylor expansion of PI in k 13.025 * [backup-simplify]: Simplify PI into PI 13.026 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.026 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.027 * [backup-simplify]: Simplify (- 1) into -1 13.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.027 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.028 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 13.029 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.029 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 13.029 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.029 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.029 * [taylor]: Taking taylor expansion of 0.5 in k 13.029 * [backup-simplify]: Simplify 0.5 into 0.5 13.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.029 * [taylor]: Taking taylor expansion of 1.0 in k 13.029 * [backup-simplify]: Simplify 1.0 into 1.0 13.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.029 * [taylor]: Taking taylor expansion of k in k 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 1 into 1 13.029 * [backup-simplify]: Simplify (/ 1 1) into 1 13.029 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.029 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.029 * [taylor]: Taking taylor expansion of n in k 13.029 * [backup-simplify]: Simplify n into n 13.029 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.029 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.030 * [backup-simplify]: Simplify (- 1) into -1 13.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.030 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.030 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 13.030 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 13.030 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 13.031 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.031 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.031 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.031 * [taylor]: Taking taylor expansion of 0.25 in k 13.031 * [backup-simplify]: Simplify 0.25 into 0.25 13.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.031 * [taylor]: Taking taylor expansion of 1.0 in k 13.031 * [backup-simplify]: Simplify 1.0 into 1.0 13.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.031 * [taylor]: Taking taylor expansion of k in k 13.031 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify 1 into 1 13.031 * [backup-simplify]: Simplify (/ 1 1) into 1 13.031 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.031 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.031 * [taylor]: Taking taylor expansion of 2.0 in k 13.031 * [backup-simplify]: Simplify 2.0 into 2.0 13.031 * [taylor]: Taking taylor expansion of PI in k 13.031 * [backup-simplify]: Simplify PI into PI 13.031 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.032 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.032 * [backup-simplify]: Simplify (- 1) into -1 13.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.033 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.034 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 13.035 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.036 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 13.037 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.037 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 13.037 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 13.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 13.037 * [taylor]: Taking taylor expansion of 0.5 in n 13.037 * [backup-simplify]: Simplify 0.5 into 0.5 13.037 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 13.037 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.037 * [taylor]: Taking taylor expansion of n in n 13.037 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify 1 into 1 13.037 * [backup-simplify]: Simplify (/ 1 1) into 1 13.038 * [backup-simplify]: Simplify (log 1) into 0 13.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.038 * [taylor]: Taking taylor expansion of 1.0 in n 13.038 * [backup-simplify]: Simplify 1.0 into 1.0 13.038 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.038 * [taylor]: Taking taylor expansion of k in n 13.038 * [backup-simplify]: Simplify k into k 13.038 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.038 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.038 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.038 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 13.038 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 13.039 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 13.039 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 13.039 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 13.039 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 13.039 * [taylor]: Taking taylor expansion of 0.25 in n 13.039 * [backup-simplify]: Simplify 0.25 into 0.25 13.039 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 13.039 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.039 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.039 * [taylor]: Taking taylor expansion of 2.0 in n 13.039 * [backup-simplify]: Simplify 2.0 into 2.0 13.039 * [taylor]: Taking taylor expansion of PI in n 13.039 * [backup-simplify]: Simplify PI into PI 13.039 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.040 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.040 * [taylor]: Taking taylor expansion of 1.0 in n 13.040 * [backup-simplify]: Simplify 1.0 into 1.0 13.040 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.040 * [taylor]: Taking taylor expansion of k in n 13.040 * [backup-simplify]: Simplify k into k 13.040 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.040 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.040 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.041 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 13.041 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 13.042 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 13.044 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 13.045 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.045 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 13.047 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 13.048 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 13.048 * [taylor]: Taking taylor expansion of 0 in n 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.048 * [backup-simplify]: Simplify (- 0) into 0 13.049 * [backup-simplify]: Simplify (+ 0 0) into 0 13.049 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.050 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.052 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 13.053 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.056 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 13.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.057 * [backup-simplify]: Simplify (- 0) into 0 13.057 * [backup-simplify]: Simplify (+ 0 0) into 0 13.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.059 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 13.061 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.063 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 13.068 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 13.068 * [taylor]: Taking taylor expansion of 0 in n 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.068 * [backup-simplify]: Simplify (- 0) into 0 13.068 * [backup-simplify]: Simplify (+ 0 0) into 0 13.069 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.071 * [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 13.072 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 13.074 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.076 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 13.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.077 * [backup-simplify]: Simplify (- 0) into 0 13.077 * [backup-simplify]: Simplify (+ 0 0) into 0 13.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.079 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 13.081 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.082 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 13.082 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 13.090 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 13.090 * [taylor]: Taking taylor expansion of 0 in n 13.090 * [backup-simplify]: Simplify 0 into 0 13.090 * [backup-simplify]: Simplify 0 into 0 13.091 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 13.092 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) 13.092 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in (k n) around 0 13.092 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 13.092 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.092 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.092 * [taylor]: Taking taylor expansion of 0.5 in n 13.092 * [backup-simplify]: Simplify 0.5 into 0.5 13.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.092 * [taylor]: Taking taylor expansion of k in n 13.092 * [backup-simplify]: Simplify k into k 13.092 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.092 * [taylor]: Taking taylor expansion of 1.0 in n 13.092 * [backup-simplify]: Simplify 1.0 into 1.0 13.092 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.092 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.093 * [taylor]: Taking taylor expansion of -1 in n 13.093 * [backup-simplify]: Simplify -1 into -1 13.093 * [taylor]: Taking taylor expansion of n in n 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (/ -1 1) into -1 13.093 * [backup-simplify]: Simplify (log -1) into (log -1) 13.093 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.093 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.094 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.095 * [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)))) 13.095 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 13.095 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.095 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 13.095 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 13.095 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.095 * [taylor]: Taking taylor expansion of 0.25 in n 13.095 * [backup-simplify]: Simplify 0.25 into 0.25 13.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.095 * [taylor]: Taking taylor expansion of k in n 13.095 * [backup-simplify]: Simplify k into k 13.095 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.095 * [taylor]: Taking taylor expansion of 1.0 in n 13.095 * [backup-simplify]: Simplify 1.0 into 1.0 13.095 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.095 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.095 * [taylor]: Taking taylor expansion of 2.0 in n 13.095 * [backup-simplify]: Simplify 2.0 into 2.0 13.095 * [taylor]: Taking taylor expansion of PI in n 13.095 * [backup-simplify]: Simplify PI into PI 13.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.096 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.096 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.096 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.097 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 13.098 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.098 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 13.098 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.098 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.098 * [taylor]: Taking taylor expansion of 0.5 in k 13.098 * [backup-simplify]: Simplify 0.5 into 0.5 13.098 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.098 * [taylor]: Taking taylor expansion of k in k 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify 1 into 1 13.098 * [backup-simplify]: Simplify (/ 1 1) into 1 13.098 * [taylor]: Taking taylor expansion of 1.0 in k 13.098 * [backup-simplify]: Simplify 1.0 into 1.0 13.098 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.098 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.098 * [taylor]: Taking taylor expansion of -1 in k 13.098 * [backup-simplify]: Simplify -1 into -1 13.098 * [taylor]: Taking taylor expansion of n in k 13.098 * [backup-simplify]: Simplify n into n 13.098 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.098 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.098 * [backup-simplify]: Simplify (+ 1 0) into 1 13.099 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.099 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 13.099 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 13.099 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 13.099 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.099 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.099 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.099 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.099 * [taylor]: Taking taylor expansion of 0.25 in k 13.099 * [backup-simplify]: Simplify 0.25 into 0.25 13.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.099 * [taylor]: Taking taylor expansion of k in k 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [backup-simplify]: Simplify (/ 1 1) into 1 13.099 * [taylor]: Taking taylor expansion of 1.0 in k 13.099 * [backup-simplify]: Simplify 1.0 into 1.0 13.100 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.100 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.100 * [taylor]: Taking taylor expansion of 2.0 in k 13.100 * [backup-simplify]: Simplify 2.0 into 2.0 13.100 * [taylor]: Taking taylor expansion of PI in k 13.100 * [backup-simplify]: Simplify PI into PI 13.100 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.101 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.102 * [backup-simplify]: Simplify (+ 1 0) into 1 13.102 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.104 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 13.105 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.105 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 13.105 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.105 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.105 * [taylor]: Taking taylor expansion of 0.5 in k 13.106 * [backup-simplify]: Simplify 0.5 into 0.5 13.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.106 * [taylor]: Taking taylor expansion of k in k 13.106 * [backup-simplify]: Simplify 0 into 0 13.106 * [backup-simplify]: Simplify 1 into 1 13.106 * [backup-simplify]: Simplify (/ 1 1) into 1 13.106 * [taylor]: Taking taylor expansion of 1.0 in k 13.106 * [backup-simplify]: Simplify 1.0 into 1.0 13.106 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.106 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.106 * [taylor]: Taking taylor expansion of -1 in k 13.106 * [backup-simplify]: Simplify -1 into -1 13.106 * [taylor]: Taking taylor expansion of n in k 13.106 * [backup-simplify]: Simplify n into n 13.106 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.107 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.107 * [backup-simplify]: Simplify (+ 1 0) into 1 13.107 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.108 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 13.108 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 13.108 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 13.108 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.108 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.108 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.108 * [taylor]: Taking taylor expansion of 0.25 in k 13.108 * [backup-simplify]: Simplify 0.25 into 0.25 13.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.108 * [taylor]: Taking taylor expansion of k in k 13.108 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify 1 into 1 13.109 * [backup-simplify]: Simplify (/ 1 1) into 1 13.109 * [taylor]: Taking taylor expansion of 1.0 in k 13.109 * [backup-simplify]: Simplify 1.0 into 1.0 13.109 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.109 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.109 * [taylor]: Taking taylor expansion of 2.0 in k 13.109 * [backup-simplify]: Simplify 2.0 into 2.0 13.109 * [taylor]: Taking taylor expansion of PI in k 13.109 * [backup-simplify]: Simplify PI into PI 13.109 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.110 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.111 * [backup-simplify]: Simplify (+ 1 0) into 1 13.111 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.113 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 13.114 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.117 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 13.119 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 13.119 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 13.119 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 13.119 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 13.119 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 13.119 * [taylor]: Taking taylor expansion of 0.25 in n 13.119 * [backup-simplify]: Simplify 0.25 into 0.25 13.119 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 13.119 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 13.119 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 13.119 * [taylor]: Taking taylor expansion of 2.0 in n 13.119 * [backup-simplify]: Simplify 2.0 into 2.0 13.119 * [taylor]: Taking taylor expansion of PI in n 13.119 * [backup-simplify]: Simplify PI into PI 13.120 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.121 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.121 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.121 * [taylor]: Taking taylor expansion of k in n 13.121 * [backup-simplify]: Simplify k into k 13.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.121 * [taylor]: Taking taylor expansion of 1.0 in n 13.121 * [backup-simplify]: Simplify 1.0 into 1.0 13.121 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.122 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 13.124 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 13.125 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 13.125 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 13.125 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 13.125 * [taylor]: Taking taylor expansion of 0.5 in n 13.125 * [backup-simplify]: Simplify 0.5 into 0.5 13.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 13.125 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.125 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.125 * [taylor]: Taking taylor expansion of k in n 13.125 * [backup-simplify]: Simplify k into k 13.125 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.125 * [taylor]: Taking taylor expansion of 1.0 in n 13.125 * [backup-simplify]: Simplify 1.0 into 1.0 13.125 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.125 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.125 * [taylor]: Taking taylor expansion of -1 in n 13.125 * [backup-simplify]: Simplify -1 into -1 13.125 * [taylor]: Taking taylor expansion of n in n 13.125 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify 1 into 1 13.126 * [backup-simplify]: Simplify (/ -1 1) into -1 13.126 * [backup-simplify]: Simplify (log -1) into (log -1) 13.126 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.127 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.128 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 13.128 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.129 * [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)))) 13.131 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 13.133 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 13.135 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 13.137 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 13.138 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 13.138 * [taylor]: Taking taylor expansion of 0 in n 13.138 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 13.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.140 * [backup-simplify]: Simplify (+ 0 0) into 0 13.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.142 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 13.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 13.143 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.144 * [backup-simplify]: Simplify (+ 0 0) into 0 13.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.146 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.147 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 13.148 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.150 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 13.151 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 13.151 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 13.154 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 13.154 * [taylor]: Taking taylor expansion of 0 in n 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 13.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.157 * [backup-simplify]: Simplify (+ 0 0) into 0 13.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.158 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 13.159 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 13.160 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.160 * [backup-simplify]: Simplify (+ 0 0) into 0 13.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.163 * [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 13.164 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.165 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 13.167 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.168 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 13.170 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 13.170 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 13.173 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))))) into 0 13.173 * [taylor]: Taking taylor expansion of 0 in n 13.173 * [backup-simplify]: Simplify 0 into 0 13.173 * [backup-simplify]: Simplify 0 into 0 13.174 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (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)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 13.174 * * * [progress]: simplifying candidates 13.181 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 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0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2)))))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (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) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 13.210 * * [simplify]: Extracting # 0 : cost 0 13.211 * * [simplify]: Extracting # 1 : cost 0 13.212 * * [simplify]: Extracting # 2 : cost 0 13.213 * * [simplify]: Extracting # 3 : cost 0 13.215 * * [simplify]: Extracting # 4 : cost 0 13.216 * * [simplify]: Extracting # 5 : cost 0 13.217 * * [simplify]: Extracting # 6 : cost 0 13.219 * * [simplify]: Extracting # 7 : cost 0 13.221 * * [simplify]: Extracting # 8 : cost 0 13.222 * * [simplify]: Extracting # 9 : cost 0 13.223 * * [simplify]: Extracting # 10 : cost 0 13.225 * * [simplify]: Extracting # 11 : cost 0 13.226 * * [simplify]: Extracting # 12 : cost 0 13.228 * * [simplify]: Extracting # 13 : cost 0 13.229 * * [simplify]: Extracting # 14 : cost 0 13.231 * * [simplify]: Extracting # 15 : cost 0 13.232 * * [simplify]: Extracting # 16 : cost 0 13.234 * * [simplify]: Extracting # 17 : cost 0 13.235 * * [simplify]: Extracting # 18 : cost 0 13.237 * * [simplify]: Extracting # 19 : cost 0 13.238 * * [simplify]: Extracting # 20 : cost 0 13.240 * * [simplify]: Extracting # 21 : cost 0 13.241 * * [simplify]: Extracting # 22 : cost 0 13.243 * * [simplify]: Extracting # 23 : cost 0 13.244 * * [simplify]: Extracting # 24 : cost 0 13.246 * * [simplify]: Extracting # 25 : cost 0 13.247 * * [simplify]: Extracting # 26 : cost 0 13.248 * * [simplify]: Extracting # 27 : cost 0 13.250 * * [simplify]: Extracting # 28 : cost 0 13.251 * * [simplify]: Extracting # 29 : cost 0 13.253 * * [simplify]: Extracting # 30 : cost 0 13.254 * * [simplify]: Extracting # 31 : cost 0 13.256 * * [simplify]: Extracting # 32 : cost 0 13.257 * * [simplify]: iteration 0 : 472 enodes (cost 11175 ) 13.459 * * [simplify]: Extracting # 0 : cost 0 13.461 * * [simplify]: Extracting # 1 : cost 0 13.462 * * [simplify]: Extracting # 2 : cost 0 13.464 * * [simplify]: Extracting # 3 : cost 0 13.466 * * [simplify]: Extracting # 4 : cost 0 13.468 * * [simplify]: Extracting # 5 : cost 0 13.469 * * [simplify]: Extracting # 6 : cost 0 13.471 * * [simplify]: iteration 1 : 1271 enodes (cost 8148 ) 14.340 * * [simplify]: Extracting # 0 : cost 0 14.346 * * [simplify]: Extracting # 1 : cost 0 14.352 * * [simplify]: Extracting # 2 : cost 0 14.358 * * [simplify]: Extracting # 3 : cost 0 14.368 * * [simplify]: Extracting # 4 : cost 0 14.374 * * [simplify]: Extracting # 5 : cost 0 14.379 * * [simplify]: iteration 2 : 4224 enodes (cost 7574 ) 15.756 * * [simplify]: Extracting # 0 : cost 0 15.769 * * [simplify]: Extracting # 1 : cost 0 15.781 * * [simplify]: Extracting # 2 : cost 0 15.787 * * [simplify]: Extracting # 3 : cost 0 15.793 * * [simplify]: Extracting # 4 : cost 0 15.802 * * [simplify]: iteration done: 5000 enodes (cost 7564 ) 15.805 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 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 (/ (- 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(* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) 3) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) 3) (* (cbrt (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) 3) (sqrt (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2))) (pow n (/ k 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow n (/ 1.0 2.0)))) (* (pow (* 2.0 PI) (/ (/ k 2.0) 2)) (pow n (/ k 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 4)) 3) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow n (/ 1.0 2.0)))) (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) (- (fma 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 (* (* (- 1.0 k) (- (log n))) -0.5)) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma +nan.0 (- k) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (fma (- (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) +nan.0 (- (fma (* +nan.0 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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))) (fma (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0 (fma (- (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) +nan.0 (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))))) (fma (- (/ (* (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2))) +nan.0 (* +nan.0 (- (/ (* (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 3)) (/ (* (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)))) (fma +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k) (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2))) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))))) (fma (- 0.5) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (fma k (log n) (* k (log (* 2.0 PI))))) (fma 0.125 (fma k (* k (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma 0.25 (* (* (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)) (pow (pow (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) 1.0) 1.0) 0.5)))) (* (exp (* (* (- 1.0 k) (- (log n))) -0.5)) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 15.807 * * * [progress]: adding candidates to table 16.719 * * [progress]: iteration 4 / 4 16.719 * * * [progress]: picking best candidate 16.767 * * * * [pick]: Picked # 16.768 * * * [progress]: localizing error 16.803 * * * [progress]: generating rewritten candidates 16.803 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 16.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 16.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 16.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 16.942 * * * [progress]: generating series expansions 16.942 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 16.943 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.943 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.943 * [taylor]: Taking taylor expansion of 0.5 in k 16.943 * [backup-simplify]: Simplify 0.5 into 0.5 16.943 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.943 * [taylor]: Taking taylor expansion of 1.0 in k 16.943 * [backup-simplify]: Simplify 1.0 into 1.0 16.944 * [taylor]: Taking taylor expansion of k in k 16.944 * [backup-simplify]: Simplify 0 into 0 16.944 * [backup-simplify]: Simplify 1 into 1 16.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.944 * [taylor]: Taking taylor expansion of 2.0 in k 16.944 * [backup-simplify]: Simplify 2.0 into 2.0 16.944 * [taylor]: Taking taylor expansion of (* n PI) in k 16.944 * [taylor]: Taking taylor expansion of n in k 16.944 * [backup-simplify]: Simplify n into n 16.944 * [taylor]: Taking taylor expansion of PI in k 16.944 * [backup-simplify]: Simplify PI into PI 16.944 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.944 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.944 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.944 * [backup-simplify]: Simplify (- 0) into 0 16.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.945 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.945 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.945 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.945 * [taylor]: Taking taylor expansion of 0.5 in n 16.945 * [backup-simplify]: Simplify 0.5 into 0.5 16.945 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.945 * [taylor]: Taking taylor expansion of 1.0 in n 16.945 * [backup-simplify]: Simplify 1.0 into 1.0 16.945 * [taylor]: Taking taylor expansion of k in n 16.945 * [backup-simplify]: Simplify k into k 16.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.945 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.945 * [taylor]: Taking taylor expansion of 2.0 in n 16.945 * [backup-simplify]: Simplify 2.0 into 2.0 16.945 * [taylor]: Taking taylor expansion of (* n PI) in n 16.945 * [taylor]: Taking taylor expansion of n in n 16.945 * [backup-simplify]: Simplify 0 into 0 16.945 * [backup-simplify]: Simplify 1 into 1 16.945 * [taylor]: Taking taylor expansion of PI in n 16.945 * [backup-simplify]: Simplify PI into PI 16.946 * [backup-simplify]: Simplify (* 0 PI) into 0 16.946 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.948 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.949 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.949 * [backup-simplify]: Simplify (- k) into (- k) 16.949 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.949 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.950 * [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)))) 16.951 * [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))))) 16.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.951 * [taylor]: Taking taylor expansion of 0.5 in n 16.951 * [backup-simplify]: Simplify 0.5 into 0.5 16.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.951 * [taylor]: Taking taylor expansion of 1.0 in n 16.951 * [backup-simplify]: Simplify 1.0 into 1.0 16.951 * [taylor]: Taking taylor expansion of k in n 16.951 * [backup-simplify]: Simplify k into k 16.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.951 * [taylor]: Taking taylor expansion of 2.0 in n 16.951 * [backup-simplify]: Simplify 2.0 into 2.0 16.951 * [taylor]: Taking taylor expansion of (* n PI) in n 16.951 * [taylor]: Taking taylor expansion of n in n 16.951 * [backup-simplify]: Simplify 0 into 0 16.951 * [backup-simplify]: Simplify 1 into 1 16.951 * [taylor]: Taking taylor expansion of PI in n 16.951 * [backup-simplify]: Simplify PI into PI 16.952 * [backup-simplify]: Simplify (* 0 PI) into 0 16.952 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.954 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.955 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.955 * [backup-simplify]: Simplify (- k) into (- k) 16.955 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.955 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.956 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.957 * [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)))) 16.958 * [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))))) 16.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.958 * [taylor]: Taking taylor expansion of 0.5 in k 16.958 * [backup-simplify]: Simplify 0.5 into 0.5 16.958 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.958 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.958 * [taylor]: Taking taylor expansion of 1.0 in k 16.958 * [backup-simplify]: Simplify 1.0 into 1.0 16.958 * [taylor]: Taking taylor expansion of k in k 16.958 * [backup-simplify]: Simplify 0 into 0 16.958 * [backup-simplify]: Simplify 1 into 1 16.958 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.958 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.958 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.958 * [taylor]: Taking taylor expansion of 2.0 in k 16.958 * [backup-simplify]: Simplify 2.0 into 2.0 16.958 * [taylor]: Taking taylor expansion of PI in k 16.958 * [backup-simplify]: Simplify PI into PI 16.958 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.959 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.959 * [taylor]: Taking taylor expansion of (log n) in k 16.959 * [taylor]: Taking taylor expansion of n in k 16.959 * [backup-simplify]: Simplify n into n 16.959 * [backup-simplify]: Simplify (log n) into (log n) 16.959 * [backup-simplify]: Simplify (- 0) into 0 16.960 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.961 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.962 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.963 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.964 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.965 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.969 * [backup-simplify]: Simplify (- 0) into 0 16.969 * [backup-simplify]: Simplify (+ 0 0) into 0 16.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.972 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.974 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.974 * [taylor]: Taking taylor expansion of 0 in k 16.974 * [backup-simplify]: Simplify 0 into 0 16.974 * [backup-simplify]: Simplify 0 into 0 16.975 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.978 * [backup-simplify]: Simplify (+ 0 0) into 0 16.978 * [backup-simplify]: Simplify (- 1) into -1 16.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.980 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.981 * [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)))) 16.983 * [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)))))) 16.985 * [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)))))) 16.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.987 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.989 * [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 16.989 * [backup-simplify]: Simplify (- 0) into 0 16.989 * [backup-simplify]: Simplify (+ 0 0) into 0 16.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.992 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.995 * [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 16.995 * [taylor]: Taking taylor expansion of 0 in k 16.995 * [backup-simplify]: Simplify 0 into 0 16.995 * [backup-simplify]: Simplify 0 into 0 16.995 * [backup-simplify]: Simplify 0 into 0 16.996 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.998 * [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 16.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.999 * [backup-simplify]: Simplify (+ 0 0) into 0 16.999 * [backup-simplify]: Simplify (- 0) into 0 17.000 * [backup-simplify]: Simplify (+ 0 0) into 0 17.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 17.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 17.005 * [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)))))) 17.008 * [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)))))) 17.029 * [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)))))) 17.030 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 17.030 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 17.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 17.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 17.030 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.030 * [taylor]: Taking taylor expansion of 0.5 in k 17.030 * [backup-simplify]: Simplify 0.5 into 0.5 17.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.030 * [taylor]: Taking taylor expansion of 1.0 in k 17.030 * [backup-simplify]: Simplify 1.0 into 1.0 17.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.030 * [taylor]: Taking taylor expansion of k in k 17.030 * [backup-simplify]: Simplify 0 into 0 17.030 * [backup-simplify]: Simplify 1 into 1 17.030 * [backup-simplify]: Simplify (/ 1 1) into 1 17.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 17.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 17.031 * [taylor]: Taking taylor expansion of 2.0 in k 17.031 * [backup-simplify]: Simplify 2.0 into 2.0 17.031 * [taylor]: Taking taylor expansion of (/ PI n) in k 17.031 * [taylor]: Taking taylor expansion of PI in k 17.031 * [backup-simplify]: Simplify PI into PI 17.031 * [taylor]: Taking taylor expansion of n in k 17.031 * [backup-simplify]: Simplify n into n 17.031 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 17.031 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 17.031 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 17.031 * [backup-simplify]: Simplify (- 1) into -1 17.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.032 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.032 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 17.033 * [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))))) 17.033 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 17.033 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 17.033 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.033 * [taylor]: Taking taylor expansion of 0.5 in n 17.033 * [backup-simplify]: Simplify 0.5 into 0.5 17.033 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.033 * [taylor]: Taking taylor expansion of 1.0 in n 17.033 * [backup-simplify]: Simplify 1.0 into 1.0 17.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.033 * [taylor]: Taking taylor expansion of k in n 17.033 * [backup-simplify]: Simplify k into k 17.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 17.033 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.033 * [taylor]: Taking taylor expansion of 2.0 in n 17.033 * [backup-simplify]: Simplify 2.0 into 2.0 17.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.033 * [taylor]: Taking taylor expansion of PI in n 17.033 * [backup-simplify]: Simplify PI into PI 17.033 * [taylor]: Taking taylor expansion of n in n 17.033 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify 1 into 1 17.034 * [backup-simplify]: Simplify (/ PI 1) into PI 17.034 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.035 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.036 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.036 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.036 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.038 * [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)))) 17.040 * [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))))) 17.040 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.040 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 17.040 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 17.040 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.040 * [taylor]: Taking taylor expansion of 0.5 in n 17.040 * [backup-simplify]: Simplify 0.5 into 0.5 17.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.040 * [taylor]: Taking taylor expansion of 1.0 in n 17.040 * [backup-simplify]: Simplify 1.0 into 1.0 17.040 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.040 * [taylor]: Taking taylor expansion of k in n 17.040 * [backup-simplify]: Simplify k into k 17.040 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.040 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 17.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.040 * [taylor]: Taking taylor expansion of 2.0 in n 17.040 * [backup-simplify]: Simplify 2.0 into 2.0 17.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.040 * [taylor]: Taking taylor expansion of PI in n 17.040 * [backup-simplify]: Simplify PI into PI 17.040 * [taylor]: Taking taylor expansion of n in n 17.040 * [backup-simplify]: Simplify 0 into 0 17.040 * [backup-simplify]: Simplify 1 into 1 17.041 * [backup-simplify]: Simplify (/ PI 1) into PI 17.041 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.042 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.042 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.042 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.043 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.045 * [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)))) 17.046 * [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))))) 17.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 17.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 17.047 * [taylor]: Taking taylor expansion of 0.5 in k 17.047 * [backup-simplify]: Simplify 0.5 into 0.5 17.047 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 17.047 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 17.047 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.047 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.047 * [taylor]: Taking taylor expansion of 2.0 in k 17.047 * [backup-simplify]: Simplify 2.0 into 2.0 17.047 * [taylor]: Taking taylor expansion of PI in k 17.047 * [backup-simplify]: Simplify PI into PI 17.047 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.048 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.048 * [taylor]: Taking taylor expansion of (log n) in k 17.049 * [taylor]: Taking taylor expansion of n in k 17.049 * [backup-simplify]: Simplify n into n 17.049 * [backup-simplify]: Simplify (log n) into (log n) 17.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.049 * [taylor]: Taking taylor expansion of 1.0 in k 17.049 * [backup-simplify]: Simplify 1.0 into 1.0 17.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.049 * [taylor]: Taking taylor expansion of k in k 17.049 * [backup-simplify]: Simplify 0 into 0 17.049 * [backup-simplify]: Simplify 1 into 1 17.049 * [backup-simplify]: Simplify (/ 1 1) into 1 17.049 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.050 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 17.051 * [backup-simplify]: Simplify (- 1) into -1 17.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.052 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 17.053 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 17.055 * [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))))) 17.056 * [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))))) 17.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.057 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.059 * [backup-simplify]: Simplify (- 0) into 0 17.059 * [backup-simplify]: Simplify (+ 0 0) into 0 17.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.061 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 17.062 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.062 * [taylor]: Taking taylor expansion of 0 in k 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 17.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.065 * [backup-simplify]: Simplify (- 0) into 0 17.065 * [backup-simplify]: Simplify (+ 0 0) into 0 17.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 17.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.068 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 17.069 * [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 17.069 * [taylor]: Taking taylor expansion of 0 in k 17.069 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.071 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.074 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 17.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.074 * [backup-simplify]: Simplify (- 0) into 0 17.075 * [backup-simplify]: Simplify (+ 0 0) into 0 17.075 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 17.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.077 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 17.079 * [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 17.079 * [taylor]: Taking taylor expansion of 0 in k 17.079 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.080 * [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)))) 17.080 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 17.080 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 17.080 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 17.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 17.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 17.080 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.080 * [taylor]: Taking taylor expansion of 0.5 in k 17.080 * [backup-simplify]: Simplify 0.5 into 0.5 17.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.080 * [taylor]: Taking taylor expansion of k in k 17.081 * [backup-simplify]: Simplify 0 into 0 17.081 * [backup-simplify]: Simplify 1 into 1 17.081 * [backup-simplify]: Simplify (/ 1 1) into 1 17.081 * [taylor]: Taking taylor expansion of 1.0 in k 17.081 * [backup-simplify]: Simplify 1.0 into 1.0 17.081 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 17.081 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 17.081 * [taylor]: Taking taylor expansion of -2.0 in k 17.081 * [backup-simplify]: Simplify -2.0 into -2.0 17.081 * [taylor]: Taking taylor expansion of (/ PI n) in k 17.081 * [taylor]: Taking taylor expansion of PI in k 17.081 * [backup-simplify]: Simplify PI into PI 17.081 * [taylor]: Taking taylor expansion of n in k 17.081 * [backup-simplify]: Simplify n into n 17.081 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 17.081 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 17.081 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 17.081 * [backup-simplify]: Simplify (+ 1 0) into 1 17.082 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.082 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 17.082 * [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)))))) 17.082 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.082 * [taylor]: Taking taylor expansion of 0.5 in n 17.082 * [backup-simplify]: Simplify 0.5 into 0.5 17.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.082 * [taylor]: Taking taylor expansion of k in n 17.082 * [backup-simplify]: Simplify k into k 17.082 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.082 * [taylor]: Taking taylor expansion of 1.0 in n 17.082 * [backup-simplify]: Simplify 1.0 into 1.0 17.082 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.082 * [taylor]: Taking taylor expansion of -2.0 in n 17.082 * [backup-simplify]: Simplify -2.0 into -2.0 17.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.082 * [taylor]: Taking taylor expansion of PI in n 17.082 * [backup-simplify]: Simplify PI into PI 17.082 * [taylor]: Taking taylor expansion of n in n 17.082 * [backup-simplify]: Simplify 0 into 0 17.082 * [backup-simplify]: Simplify 1 into 1 17.083 * [backup-simplify]: Simplify (/ PI 1) into PI 17.083 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.083 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.084 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.084 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.085 * [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)))) 17.086 * [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))))) 17.086 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.086 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.086 * [taylor]: Taking taylor expansion of 0.5 in n 17.086 * [backup-simplify]: Simplify 0.5 into 0.5 17.086 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.086 * [taylor]: Taking taylor expansion of k in n 17.086 * [backup-simplify]: Simplify k into k 17.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.086 * [taylor]: Taking taylor expansion of 1.0 in n 17.086 * [backup-simplify]: Simplify 1.0 into 1.0 17.086 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.086 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.086 * [taylor]: Taking taylor expansion of -2.0 in n 17.086 * [backup-simplify]: Simplify -2.0 into -2.0 17.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.086 * [taylor]: Taking taylor expansion of PI in n 17.086 * [backup-simplify]: Simplify PI into PI 17.086 * [taylor]: Taking taylor expansion of n in n 17.086 * [backup-simplify]: Simplify 0 into 0 17.086 * [backup-simplify]: Simplify 1 into 1 17.087 * [backup-simplify]: Simplify (/ PI 1) into PI 17.087 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.088 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.088 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.088 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.090 * [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)))) 17.092 * [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))))) 17.092 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 17.092 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 17.092 * [taylor]: Taking taylor expansion of 0.5 in k 17.092 * [backup-simplify]: Simplify 0.5 into 0.5 17.092 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 17.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.092 * [taylor]: Taking taylor expansion of k in k 17.092 * [backup-simplify]: Simplify 0 into 0 17.092 * [backup-simplify]: Simplify 1 into 1 17.093 * [backup-simplify]: Simplify (/ 1 1) into 1 17.093 * [taylor]: Taking taylor expansion of 1.0 in k 17.093 * [backup-simplify]: Simplify 1.0 into 1.0 17.093 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 17.093 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 17.093 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 17.093 * [taylor]: Taking taylor expansion of -2.0 in k 17.093 * [backup-simplify]: Simplify -2.0 into -2.0 17.093 * [taylor]: Taking taylor expansion of PI in k 17.093 * [backup-simplify]: Simplify PI into PI 17.093 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.094 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.095 * [taylor]: Taking taylor expansion of (log n) in k 17.095 * [taylor]: Taking taylor expansion of n in k 17.095 * [backup-simplify]: Simplify n into n 17.095 * [backup-simplify]: Simplify (log n) into (log n) 17.095 * [backup-simplify]: Simplify (+ 1 0) into 1 17.095 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.096 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 17.097 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 17.098 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 17.100 * [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))))) 17.101 * [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))))) 17.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.102 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 17.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 17.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.105 * [backup-simplify]: Simplify (+ 0 0) into 0 17.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 17.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.108 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 17.111 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.111 * [taylor]: Taking taylor expansion of 0 in k 17.111 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify 0 into 0 17.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.113 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 17.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.117 * [backup-simplify]: Simplify (+ 0 0) into 0 17.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.121 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 17.124 * [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 17.124 * [taylor]: Taking taylor expansion of 0 in k 17.124 * [backup-simplify]: Simplify 0 into 0 17.124 * [backup-simplify]: Simplify 0 into 0 17.124 * [backup-simplify]: Simplify 0 into 0 17.124 * [backup-simplify]: Simplify 0 into 0 17.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.126 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.133 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 17.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.134 * [backup-simplify]: Simplify (+ 0 0) into 0 17.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 17.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.138 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 17.141 * [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 17.141 * [taylor]: Taking taylor expansion of 0 in k 17.141 * [backup-simplify]: Simplify 0 into 0 17.141 * [backup-simplify]: Simplify 0 into 0 17.142 * [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)))))) 17.142 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 17.143 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 17.143 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 17.143 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.143 * [taylor]: Taking taylor expansion of 1.0 in k 17.143 * [backup-simplify]: Simplify 1.0 into 1.0 17.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.143 * [taylor]: Taking taylor expansion of k in k 17.143 * [backup-simplify]: Simplify 0 into 0 17.143 * [backup-simplify]: Simplify 1 into 1 17.143 * [backup-simplify]: Simplify (/ 1 1) into 1 17.144 * [backup-simplify]: Simplify (sqrt 0) into 0 17.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.145 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.145 * [taylor]: Taking taylor expansion of 1.0 in k 17.145 * [backup-simplify]: Simplify 1.0 into 1.0 17.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.145 * [taylor]: Taking taylor expansion of k in k 17.145 * [backup-simplify]: Simplify 0 into 0 17.145 * [backup-simplify]: Simplify 1 into 1 17.146 * [backup-simplify]: Simplify (/ 1 1) into 1 17.146 * [backup-simplify]: Simplify (sqrt 0) into 0 17.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.148 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.148 * [backup-simplify]: Simplify 0 into 0 17.149 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.164 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.164 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.171 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.171 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.173 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 17.173 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 17.173 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 17.173 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.173 * [taylor]: Taking taylor expansion of 1.0 in k 17.173 * [backup-simplify]: Simplify 1.0 into 1.0 17.173 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.173 * [taylor]: Taking taylor expansion of k in k 17.173 * [backup-simplify]: Simplify 0 into 0 17.173 * [backup-simplify]: Simplify 1 into 1 17.174 * [backup-simplify]: Simplify (sqrt 0) into 0 17.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.175 * [taylor]: Taking taylor expansion of 1.0 in k 17.175 * [backup-simplify]: Simplify 1.0 into 1.0 17.175 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.175 * [taylor]: Taking taylor expansion of k in k 17.175 * [backup-simplify]: Simplify 0 into 0 17.175 * [backup-simplify]: Simplify 1 into 1 17.175 * [backup-simplify]: Simplify (sqrt 0) into 0 17.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.177 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.177 * [backup-simplify]: Simplify 0 into 0 17.178 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.179 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.182 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.184 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.185 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.191 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.191 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.193 * [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)))))))) 17.193 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 17.193 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 17.193 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.193 * [taylor]: Taking taylor expansion of 1.0 in k 17.193 * [backup-simplify]: Simplify 1.0 into 1.0 17.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.193 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.193 * [taylor]: Taking taylor expansion of -1 in k 17.193 * [backup-simplify]: Simplify -1 into -1 17.193 * [taylor]: Taking taylor expansion of k in k 17.193 * [backup-simplify]: Simplify 0 into 0 17.194 * [backup-simplify]: Simplify 1 into 1 17.194 * [backup-simplify]: Simplify (/ -1 1) into -1 17.194 * [backup-simplify]: Simplify (sqrt 0) into 0 17.196 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.196 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.196 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.196 * [taylor]: Taking taylor expansion of 1.0 in k 17.196 * [backup-simplify]: Simplify 1.0 into 1.0 17.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.196 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.196 * [taylor]: Taking taylor expansion of -1 in k 17.196 * [backup-simplify]: Simplify -1 into -1 17.196 * [taylor]: Taking taylor expansion of k in k 17.196 * [backup-simplify]: Simplify 0 into 0 17.196 * [backup-simplify]: Simplify 1 into 1 17.197 * [backup-simplify]: Simplify (/ -1 1) into -1 17.197 * [backup-simplify]: Simplify (sqrt 0) into 0 17.198 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.199 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.205 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.210 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.211 * [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))))) 17.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 17.211 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 17.211 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 17.211 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 17.211 * [taylor]: Taking taylor expansion of 1.0 in k 17.211 * [backup-simplify]: Simplify 1.0 into 1.0 17.211 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 17.211 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 17.211 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 17.211 * [taylor]: Taking taylor expansion of 1/4 in k 17.211 * [backup-simplify]: Simplify 1/4 into 1/4 17.211 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.211 * [taylor]: Taking taylor expansion of k in k 17.211 * [backup-simplify]: Simplify 0 into 0 17.211 * [backup-simplify]: Simplify 1 into 1 17.212 * [backup-simplify]: Simplify (/ 1 1) into 1 17.212 * [backup-simplify]: Simplify (log 1) into 0 17.212 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.212 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 17.212 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 17.212 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 17.212 * [taylor]: Taking taylor expansion of 1.0 in k 17.212 * [backup-simplify]: Simplify 1.0 into 1.0 17.212 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 17.212 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 17.212 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 17.212 * [taylor]: Taking taylor expansion of 1/4 in k 17.212 * [backup-simplify]: Simplify 1/4 into 1/4 17.212 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.212 * [taylor]: Taking taylor expansion of k in k 17.212 * [backup-simplify]: Simplify 0 into 0 17.213 * [backup-simplify]: Simplify 1 into 1 17.213 * [backup-simplify]: Simplify (/ 1 1) into 1 17.213 * [backup-simplify]: Simplify (log 1) into 0 17.213 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.213 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 17.213 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 17.214 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.214 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.215 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 17.216 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 17.216 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.219 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.220 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.221 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 17.221 * [backup-simplify]: Simplify 0 into 0 17.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.224 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.225 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.226 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 17.227 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.235 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.235 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.237 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.239 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.241 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 17.241 * [backup-simplify]: Simplify 0 into 0 17.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.260 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.261 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.267 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 17.270 * [backup-simplify]: Simplify 0 into 0 17.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.319 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.319 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 17.328 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.331 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 17.331 * [backup-simplify]: Simplify 0 into 0 17.331 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.331 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 17.331 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 17.331 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 17.331 * [taylor]: Taking taylor expansion of 1.0 in k 17.331 * [backup-simplify]: Simplify 1.0 into 1.0 17.331 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 17.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 17.331 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 17.331 * [taylor]: Taking taylor expansion of 1/4 in k 17.332 * [backup-simplify]: Simplify 1/4 into 1/4 17.332 * [taylor]: Taking taylor expansion of (log k) in k 17.332 * [taylor]: Taking taylor expansion of k in k 17.332 * [backup-simplify]: Simplify 0 into 0 17.332 * [backup-simplify]: Simplify 1 into 1 17.332 * [backup-simplify]: Simplify (log 1) into 0 17.333 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.333 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 17.333 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 17.333 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 17.333 * [taylor]: Taking taylor expansion of 1.0 in k 17.333 * [backup-simplify]: Simplify 1.0 into 1.0 17.333 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 17.333 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 17.333 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 17.333 * [taylor]: Taking taylor expansion of 1/4 in k 17.333 * [backup-simplify]: Simplify 1/4 into 1/4 17.333 * [taylor]: Taking taylor expansion of (log k) in k 17.333 * [taylor]: Taking taylor expansion of k in k 17.333 * [backup-simplify]: Simplify 0 into 0 17.333 * [backup-simplify]: Simplify 1 into 1 17.334 * [backup-simplify]: Simplify (log 1) into 0 17.334 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.334 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 17.334 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 17.335 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 17.335 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 17.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.337 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 17.338 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.339 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 17.339 * [backup-simplify]: Simplify 0 into 0 17.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.342 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 17.344 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 17.346 * [backup-simplify]: Simplify 0 into 0 17.351 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.352 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 17.355 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 17.356 * [backup-simplify]: Simplify 0 into 0 17.364 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.365 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.365 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 17.367 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 17.368 * [backup-simplify]: Simplify 0 into 0 17.377 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.378 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 17.381 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.382 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 17.382 * [backup-simplify]: Simplify 0 into 0 17.410 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.411 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 17.418 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.421 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 17.421 * [backup-simplify]: Simplify 0 into 0 17.421 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.421 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 17.421 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 17.422 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 17.422 * [taylor]: Taking taylor expansion of 1.0 in k 17.422 * [backup-simplify]: Simplify 1.0 into 1.0 17.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 17.422 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 17.422 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.422 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.422 * [taylor]: Taking taylor expansion of -1 in k 17.422 * [backup-simplify]: Simplify -1 into -1 17.422 * [taylor]: Taking taylor expansion of k in k 17.422 * [backup-simplify]: Simplify 0 into 0 17.422 * [backup-simplify]: Simplify 1 into 1 17.422 * [backup-simplify]: Simplify (/ -1 1) into -1 17.423 * [backup-simplify]: Simplify (sqrt 0) into 0 17.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.425 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 17.425 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 17.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.429 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.431 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.433 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 17.433 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 17.433 * [taylor]: Taking taylor expansion of 1.0 in k 17.433 * [backup-simplify]: Simplify 1.0 into 1.0 17.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 17.433 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 17.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.433 * [taylor]: Taking taylor expansion of -1 in k 17.433 * [backup-simplify]: Simplify -1 into -1 17.433 * [taylor]: Taking taylor expansion of k in k 17.433 * [backup-simplify]: Simplify 0 into 0 17.433 * [backup-simplify]: Simplify 1 into 1 17.433 * [backup-simplify]: Simplify (/ -1 1) into -1 17.434 * [backup-simplify]: Simplify (sqrt 0) into 0 17.435 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.435 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 17.436 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 17.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.450 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.452 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 17.453 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 17.454 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 17.457 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 17.459 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 17.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.474 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 17.488 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 17.496 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 17.508 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 17.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 17.508 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 17.508 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 17.508 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.508 * [taylor]: Taking taylor expansion of 2.0 in n 17.509 * [backup-simplify]: Simplify 2.0 into 2.0 17.509 * [taylor]: Taking taylor expansion of (* n PI) in n 17.509 * [taylor]: Taking taylor expansion of n in n 17.509 * [backup-simplify]: Simplify 0 into 0 17.509 * [backup-simplify]: Simplify 1 into 1 17.509 * [taylor]: Taking taylor expansion of PI in n 17.509 * [backup-simplify]: Simplify PI into PI 17.509 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.509 * [taylor]: Taking taylor expansion of 2.0 in n 17.509 * [backup-simplify]: Simplify 2.0 into 2.0 17.509 * [taylor]: Taking taylor expansion of (* n PI) in n 17.509 * [taylor]: Taking taylor expansion of n in n 17.509 * [backup-simplify]: Simplify 0 into 0 17.509 * [backup-simplify]: Simplify 1 into 1 17.509 * [taylor]: Taking taylor expansion of PI in n 17.509 * [backup-simplify]: Simplify PI into PI 17.510 * [backup-simplify]: Simplify (* 0 PI) into 0 17.510 * [backup-simplify]: Simplify (* 2.0 0) into 0 17.510 * [backup-simplify]: Simplify 0 into 0 17.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.513 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 17.514 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.515 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 17.516 * [backup-simplify]: Simplify 0 into 0 17.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.518 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.518 * [backup-simplify]: Simplify 0 into 0 17.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.521 * [backup-simplify]: Simplify 0 into 0 17.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 17.524 * [backup-simplify]: Simplify 0 into 0 17.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.527 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 17.527 * [backup-simplify]: Simplify 0 into 0 17.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 17.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 17.531 * [backup-simplify]: Simplify 0 into 0 17.532 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 17.533 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 17.533 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 17.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.533 * [taylor]: Taking taylor expansion of 2.0 in n 17.533 * [backup-simplify]: Simplify 2.0 into 2.0 17.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.533 * [taylor]: Taking taylor expansion of PI in n 17.533 * [backup-simplify]: Simplify PI into PI 17.533 * [taylor]: Taking taylor expansion of n in n 17.533 * [backup-simplify]: Simplify 0 into 0 17.533 * [backup-simplify]: Simplify 1 into 1 17.533 * [backup-simplify]: Simplify (/ PI 1) into PI 17.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.533 * [taylor]: Taking taylor expansion of 2.0 in n 17.534 * [backup-simplify]: Simplify 2.0 into 2.0 17.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.534 * [taylor]: Taking taylor expansion of PI in n 17.534 * [backup-simplify]: Simplify PI into PI 17.534 * [taylor]: Taking taylor expansion of n in n 17.534 * [backup-simplify]: Simplify 0 into 0 17.534 * [backup-simplify]: Simplify 1 into 1 17.534 * [backup-simplify]: Simplify (/ PI 1) into PI 17.535 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.535 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.537 * [backup-simplify]: Simplify 0 into 0 17.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.539 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.539 * [backup-simplify]: Simplify 0 into 0 17.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.542 * [backup-simplify]: Simplify 0 into 0 17.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.544 * [backup-simplify]: Simplify 0 into 0 17.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.547 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.547 * [backup-simplify]: Simplify 0 into 0 17.548 * [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 17.550 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.550 * [backup-simplify]: Simplify 0 into 0 17.550 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 17.551 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 17.551 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 17.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.551 * [taylor]: Taking taylor expansion of -2.0 in n 17.551 * [backup-simplify]: Simplify -2.0 into -2.0 17.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.551 * [taylor]: Taking taylor expansion of PI in n 17.551 * [backup-simplify]: Simplify PI into PI 17.551 * [taylor]: Taking taylor expansion of n in n 17.551 * [backup-simplify]: Simplify 0 into 0 17.551 * [backup-simplify]: Simplify 1 into 1 17.552 * [backup-simplify]: Simplify (/ PI 1) into PI 17.552 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.552 * [taylor]: Taking taylor expansion of -2.0 in n 17.552 * [backup-simplify]: Simplify -2.0 into -2.0 17.552 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.552 * [taylor]: Taking taylor expansion of PI in n 17.552 * [backup-simplify]: Simplify PI into PI 17.552 * [taylor]: Taking taylor expansion of n in n 17.552 * [backup-simplify]: Simplify 0 into 0 17.552 * [backup-simplify]: Simplify 1 into 1 17.552 * [backup-simplify]: Simplify (/ PI 1) into PI 17.553 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.553 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.555 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 17.555 * [backup-simplify]: Simplify 0 into 0 17.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.557 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.557 * [backup-simplify]: Simplify 0 into 0 17.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.558 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.558 * [backup-simplify]: Simplify 0 into 0 17.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.559 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.559 * [backup-simplify]: Simplify 0 into 0 17.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.561 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.561 * [backup-simplify]: Simplify 0 into 0 17.561 * [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 17.562 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.562 * [backup-simplify]: Simplify 0 into 0 17.563 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 17.563 * * * [progress]: simplifying candidates 17.579 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (log1p (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 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(* 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) (- (+ (* 0.125 (* (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)))))) (- (+ (* +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))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 17.607 * * [simplify]: Extracting # 0 : cost 0 17.608 * * [simplify]: Extracting # 1 : cost 0 17.609 * * [simplify]: Extracting # 2 : cost 0 17.610 * * [simplify]: Extracting # 3 : cost 0 17.611 * * [simplify]: Extracting # 4 : cost 0 17.612 * * [simplify]: Extracting # 5 : cost 0 17.613 * * [simplify]: Extracting # 6 : cost 0 17.614 * * [simplify]: Extracting # 7 : cost 0 17.615 * * [simplify]: Extracting # 8 : cost 0 17.616 * * [simplify]: Extracting # 9 : cost 0 17.618 * * [simplify]: Extracting # 10 : cost 0 17.619 * * [simplify]: Extracting # 11 : cost 0 17.620 * * [simplify]: Extracting # 12 : cost 0 17.621 * * [simplify]: Extracting # 13 : cost 0 17.622 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 17.880 * * [simplify]: Extracting # 0 : cost 0 17.882 * * [simplify]: Extracting # 1 : cost 0 17.884 * * [simplify]: Extracting # 2 : cost 0 17.886 * * [simplify]: Extracting # 3 : cost 0 17.887 * * [simplify]: Extracting # 4 : cost 0 17.889 * * [simplify]: Extracting # 5 : cost 0 17.891 * * [simplify]: iteration 1 : 1341 enodes (cost 7684 ) 18.511 * * [simplify]: Extracting # 0 : cost 0 18.518 * * [simplify]: Extracting # 1 : cost 0 18.525 * * [simplify]: Extracting # 2 : cost 0 18.537 * * [simplify]: Extracting # 3 : cost 0 18.544 * * [simplify]: Extracting # 4 : cost 0 18.552 * * [simplify]: iteration 2 : 3109 enodes (cost 7109 ) 19.854 * * [simplify]: Extracting # 0 : cost 0 19.865 * * [simplify]: Extracting # 1 : cost 0 19.871 * * [simplify]: Extracting # 2 : cost 0 19.877 * * [simplify]: Extracting # 3 : cost 0 19.900 * * [simplify]: Extracting # 4 : cost 0 19.913 * * [simplify]: iteration done: 5000 enodes (cost 6936 ) 19.920 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 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)))) (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 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(sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* n PI) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5))) (fma (* 0.25 (pow k 2)) (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5))) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma +nan.0 (- k) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (fma (sqrt +nan.0) 1.0 (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 19.927 * * * [progress]: adding candidates to table 21.450 * [progress]: [Phase 3 of 3] Extracting. 21.450 * * [regime]: Finding splitpoints for: (# # # # # # #) 21.453 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 21.453 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 21.508 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 21.553 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 21.599 * * * [regime]: Found split indices: #