1546251816.483 * [misc]progress: [Phase 1 of 3] Setting up. 1546251816.483 * * * [misc]progress: [1/2] Preparing points 1546251816.483 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546251816.567 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.567 * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 58 / 256 1546251816.675 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.675 * * * * [misc]points: Sampling 161 additional inputs, on iter 2 have 95 / 256 1546251816.735 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.735 * * * * [misc]points: Sampling 130 additional inputs, on iter 3 have 126 / 256 1546251816.785 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.785 * * * * [misc]points: Sampling 105 additional inputs, on iter 4 have 151 / 256 1546251816.825 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.825 * * * * [misc]points: Sampling 85 additional inputs, on iter 5 have 171 / 256 1546251816.902 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.903 * * * * [misc]points: Sampling 57 additional inputs, on iter 6 have 199 / 256 1546251816.921 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.921 * * * * [misc]points: Sampling 47 additional inputs, on iter 7 have 209 / 256 1546251816.932 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.932 * * * * [misc]points: Sampling 35 additional inputs, on iter 8 have 221 / 256 1546251816.941 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.941 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1546251816.947 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.947 * * * * [misc]points: Sampling 17 additional inputs, on iter 10 have 239 / 256 1546251816.952 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.952 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1546251816.956 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.956 * * * * [misc]points: Sampling 11 additional inputs, on iter 12 have 245 / 256 1546251816.960 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.960 * * * * [misc]points: Sampling 9 additional inputs, on iter 13 have 247 / 256 1546251816.964 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.964 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1546251816.966 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.966 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 253 / 256 1546251816.969 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.969 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 1546251816.972 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.973 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1546251816.977 * * * * [misc]points: Filtering points with unrepresentable outputs 1546251816.977 * * * * [exit]points: Sampled 256 points with exact outputs 1546251816.978 * * * [misc]progress: [2/2] Setting up program. 1546251816.985 * [misc]progress: [Phase 2 of 3] Improving. 1546251816.986 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546251816.986 * * [misc]simplify: iters left: 6 (13 enodes) 1546251816.991 * * [misc]simplify: iters left: 5 (28 enodes) 1546251816.999 * * [misc]simplify: iters left: 4 (44 enodes) 1546251817.012 * * [misc]simplify: iters left: 3 (54 enodes) 1546251817.023 * * [misc]simplify: iters left: 2 (57 enodes) 1546251817.046 * * [misc]simplify: iters left: 1 (65 enodes) 1546251817.059 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546251817.073 * * [misc]progress: iteration 1 / 4 1546251817.073 * * * [misc]progress: picking best candidate 1546251817.084 * * * * [misc]pick: Picked # 1546251817.084 * * * [misc]progress: localizing error 1546251817.106 * * * [misc]progress: generating rewritten candidates 1546251817.106 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546251817.108 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546251817.109 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546251817.118 * * * [misc]progress: generating series expansions 1546251817.118 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546251817.119 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546251817.119 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546251817.119 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.119 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.119 * [misc]taylor: Taking taylor expansion of k in k 1546251817.119 * [misc]backup-simplify: Simplify 0 into 0 1546251817.119 * [misc]backup-simplify: Simplify 1 into 1 1546251817.119 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.119 * [misc]backup-simplify: Simplify 2 into 2 1546251817.119 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546251817.119 * [misc]taylor: Taking taylor expansion of n in k 1546251817.119 * [misc]backup-simplify: Simplify n into n 1546251817.119 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.119 * [misc]backup-simplify: Simplify PI into PI 1546251817.119 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546251817.119 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546251817.120 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546251817.120 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251817.120 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.120 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.120 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546251817.120 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546251817.120 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546251817.120 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.121 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.121 * [misc]taylor: Taking taylor expansion of k in n 1546251817.121 * [misc]backup-simplify: Simplify k into k 1546251817.121 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.121 * [misc]backup-simplify: Simplify 2 into 2 1546251817.121 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.121 * [misc]taylor: Taking taylor expansion of n in n 1546251817.121 * [misc]backup-simplify: Simplify 0 into 0 1546251817.121 * [misc]backup-simplify: Simplify 1 into 1 1546251817.121 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.121 * [misc]backup-simplify: Simplify PI into PI 1546251817.122 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251817.122 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546251817.122 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251817.123 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546251817.123 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.124 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546251817.124 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546251817.124 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546251817.124 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.125 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546251817.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1546251817.126 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.126 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.126 * [misc]taylor: Taking taylor expansion of k in n 1546251817.126 * [misc]backup-simplify: Simplify k into k 1546251817.126 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.126 * [misc]backup-simplify: Simplify 2 into 2 1546251817.126 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.126 * [misc]taylor: Taking taylor expansion of n in n 1546251817.126 * [misc]backup-simplify: Simplify 0 into 0 1546251817.126 * [misc]backup-simplify: Simplify 1 into 1 1546251817.126 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.126 * [misc]backup-simplify: Simplify PI into PI 1546251817.126 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251817.127 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546251817.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251817.128 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546251817.128 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.129 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546251817.129 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546251817.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546251817.129 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.130 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546251817.131 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1546251817.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.131 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.131 * [misc]taylor: Taking taylor expansion of k in k 1546251817.131 * [misc]backup-simplify: Simplify 0 into 0 1546251817.131 * [misc]backup-simplify: Simplify 1 into 1 1546251817.131 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of n in k 1546251817.131 * [misc]backup-simplify: Simplify n into n 1546251817.131 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.131 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251817.131 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.131 * [misc]backup-simplify: Simplify 2 into 2 1546251817.131 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.131 * [misc]backup-simplify: Simplify PI into PI 1546251817.132 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.132 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.132 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251817.133 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.133 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.133 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.134 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546251817.135 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546251817.135 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546251817.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251817.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546251817.142 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546251817.142 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.143 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.144 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546251817.145 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.145 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.145 * [misc]backup-simplify: Simplify 0 into 0 1546251817.145 * [misc]backup-simplify: Simplify 0 into 0 1546251817.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251817.152 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251817.154 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.154 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.154 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546251817.154 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.154 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.155 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546251817.155 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.156 * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.157 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.158 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546251817.162 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546251817.162 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.162 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.163 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546251817.164 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.164 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.164 * [misc]backup-simplify: Simplify 0 into 0 1546251817.164 * [misc]backup-simplify: Simplify 0 into 0 1546251817.165 * [misc]backup-simplify: Simplify 0 into 0 1546251817.166 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251817.166 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.170 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251817.170 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546251817.172 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1546251817.174 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1546251817.177 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1546251817.177 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546251817.177 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546251817.177 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.177 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.177 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of k in k 1546251817.177 * [misc]backup-simplify: Simplify 0 into 0 1546251817.177 * [misc]backup-simplify: Simplify 1 into 1 1546251817.177 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.177 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.177 * [misc]backup-simplify: Simplify 2 into 2 1546251817.177 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546251817.177 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.177 * [misc]backup-simplify: Simplify PI into PI 1546251817.177 * [misc]taylor: Taking taylor expansion of n in k 1546251817.177 * [misc]backup-simplify: Simplify n into n 1546251817.177 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546251817.177 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546251817.178 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546251817.178 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.178 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.178 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.178 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546251817.178 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546251817.178 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of k in n 1546251817.178 * [misc]backup-simplify: Simplify k into k 1546251817.178 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.178 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.178 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.178 * [misc]backup-simplify: Simplify 2 into 2 1546251817.178 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.179 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.179 * [misc]backup-simplify: Simplify PI into PI 1546251817.179 * [misc]taylor: Taking taylor expansion of n in n 1546251817.179 * [misc]backup-simplify: Simplify 0 into 0 1546251817.179 * [misc]backup-simplify: Simplify 1 into 1 1546251817.179 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.179 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.179 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.179 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.180 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546251817.180 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546251817.180 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.180 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546251817.181 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.181 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.181 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.181 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of k in n 1546251817.181 * [misc]backup-simplify: Simplify k into k 1546251817.181 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.181 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.181 * [misc]backup-simplify: Simplify 2 into 2 1546251817.181 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.181 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.181 * [misc]backup-simplify: Simplify PI into PI 1546251817.181 * [misc]taylor: Taking taylor expansion of n in n 1546251817.181 * [misc]backup-simplify: Simplify 0 into 0 1546251817.181 * [misc]backup-simplify: Simplify 1 into 1 1546251817.181 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.182 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.182 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.182 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.182 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546251817.182 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546251817.182 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.183 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546251817.183 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.183 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546251817.183 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546251817.183 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251817.183 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.183 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.184 * [misc]taylor: Taking taylor expansion of k in k 1546251817.184 * [misc]backup-simplify: Simplify 0 into 0 1546251817.184 * [misc]backup-simplify: Simplify 1 into 1 1546251817.184 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.184 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546251817.184 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251817.184 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251817.184 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.184 * [misc]backup-simplify: Simplify 2 into 2 1546251817.184 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.184 * [misc]backup-simplify: Simplify PI into PI 1546251817.184 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.184 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.184 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.184 * [misc]taylor: Taking taylor expansion of n in k 1546251817.184 * [misc]backup-simplify: Simplify n into n 1546251817.184 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.184 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.185 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.185 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.185 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251817.185 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546251817.185 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546251817.186 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.186 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.188 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251817.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.191 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546251817.191 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.193 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546251817.194 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.194 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.194 * [misc]backup-simplify: Simplify 0 into 0 1546251817.194 * [misc]backup-simplify: Simplify 0 into 0 1546251817.194 * [misc]backup-simplify: Simplify 0 into 0 1546251817.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.197 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.202 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.202 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251817.203 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.203 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.204 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546251817.207 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.207 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.207 * [misc]backup-simplify: Simplify 0 into 0 1546251817.207 * [misc]backup-simplify: Simplify 0 into 0 1546251817.207 * [misc]backup-simplify: Simplify 0 into 0 1546251817.207 * [misc]backup-simplify: Simplify 0 into 0 1546251817.208 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.210 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.218 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251817.218 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.219 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251817.219 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.220 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.221 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546251817.225 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251817.225 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.225 * [misc]backup-simplify: Simplify 0 into 0 1546251817.225 * [misc]backup-simplify: Simplify 0 into 0 1546251817.226 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546251817.226 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251817.226 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546251817.226 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546251817.226 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546251817.226 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546251817.226 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of k in k 1546251817.227 * [misc]backup-simplify: Simplify 0 into 0 1546251817.227 * [misc]backup-simplify: Simplify 1 into 1 1546251817.227 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.227 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of -2 in k 1546251817.227 * [misc]backup-simplify: Simplify -2 into -2 1546251817.227 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546251817.227 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.227 * [misc]backup-simplify: Simplify PI into PI 1546251817.227 * [misc]taylor: Taking taylor expansion of n in k 1546251817.227 * [misc]backup-simplify: Simplify n into n 1546251817.227 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546251817.227 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546251817.227 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546251817.228 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.228 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.228 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546251817.228 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1546251817.228 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.228 * [misc]taylor: Taking taylor expansion of k in n 1546251817.228 * [misc]backup-simplify: Simplify k into k 1546251817.229 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.229 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546251817.229 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.229 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.229 * [misc]backup-simplify: Simplify -2 into -2 1546251817.229 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.229 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.229 * [misc]backup-simplify: Simplify PI into PI 1546251817.229 * [misc]taylor: Taking taylor expansion of n in n 1546251817.229 * [misc]backup-simplify: Simplify 0 into 0 1546251817.229 * [misc]backup-simplify: Simplify 1 into 1 1546251817.229 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.230 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.230 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.230 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.230 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251817.231 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.232 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546251817.232 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.232 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546251817.232 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546251817.232 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546251817.232 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546251817.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.232 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.232 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.233 * [misc]taylor: Taking taylor expansion of k in n 1546251817.233 * [misc]backup-simplify: Simplify k into k 1546251817.233 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.233 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546251817.233 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.233 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.233 * [misc]backup-simplify: Simplify -2 into -2 1546251817.233 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.233 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.233 * [misc]backup-simplify: Simplify PI into PI 1546251817.233 * [misc]taylor: Taking taylor expansion of n in n 1546251817.233 * [misc]backup-simplify: Simplify 0 into 0 1546251817.233 * [misc]backup-simplify: Simplify 1 into 1 1546251817.233 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.233 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.234 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.234 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.234 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251817.235 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.235 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546251817.236 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.236 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546251817.236 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546251817.236 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251817.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.236 * [misc]taylor: Taking taylor expansion of k in k 1546251817.236 * [misc]backup-simplify: Simplify 0 into 0 1546251817.236 * [misc]backup-simplify: Simplify 1 into 1 1546251817.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.237 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546251817.237 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546251817.237 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546251817.237 * [misc]taylor: Taking taylor expansion of -2 in k 1546251817.237 * [misc]backup-simplify: Simplify -2 into -2 1546251817.237 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.237 * [misc]backup-simplify: Simplify PI into PI 1546251817.237 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.238 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.238 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.238 * [misc]taylor: Taking taylor expansion of n in k 1546251817.238 * [misc]backup-simplify: Simplify n into n 1546251817.238 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.238 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.238 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.238 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251817.239 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546251817.239 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546251817.240 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.241 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.242 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546251817.245 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546251817.245 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546251817.246 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.246 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.247 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546251817.249 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.249 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.249 * [misc]backup-simplify: Simplify 0 into 0 1546251817.249 * [misc]backup-simplify: Simplify 0 into 0 1546251817.249 * [misc]backup-simplify: Simplify 0 into 0 1546251817.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.251 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.256 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1546251817.257 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.257 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251817.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.258 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.259 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546251817.261 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.261 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.261 * [misc]backup-simplify: Simplify 0 into 0 1546251817.261 * [misc]backup-simplify: Simplify 0 into 0 1546251817.261 * [misc]backup-simplify: Simplify 0 into 0 1546251817.261 * [misc]backup-simplify: Simplify 0 into 0 1546251817.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.265 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.273 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 1546251817.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251817.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.275 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.276 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546251817.280 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251817.280 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.280 * [misc]backup-simplify: Simplify 0 into 0 1546251817.280 * [misc]backup-simplify: Simplify 0 into 0 1546251817.281 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546251817.281 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546251817.281 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546251817.281 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546251817.281 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.281 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.281 * [misc]backup-simplify: Simplify 2 into 2 1546251817.281 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.281 * [misc]taylor: Taking taylor expansion of n in n 1546251817.281 * [misc]backup-simplify: Simplify 0 into 0 1546251817.281 * [misc]backup-simplify: Simplify 1 into 1 1546251817.281 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.281 * [misc]backup-simplify: Simplify PI into PI 1546251817.281 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.281 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.281 * [misc]backup-simplify: Simplify 2 into 2 1546251817.281 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.281 * [misc]taylor: Taking taylor expansion of n in n 1546251817.281 * [misc]backup-simplify: Simplify 0 into 0 1546251817.281 * [misc]backup-simplify: Simplify 1 into 1 1546251817.281 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.281 * [misc]backup-simplify: Simplify PI into PI 1546251817.282 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251817.282 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546251817.282 * [misc]backup-simplify: Simplify 0 into 0 1546251817.282 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251817.283 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546251817.283 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251817.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546251817.285 * [misc]backup-simplify: Simplify 0 into 0 1546251817.287 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.288 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546251817.288 * [misc]backup-simplify: Simplify 0 into 0 1546251817.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546251817.293 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546251817.293 * [misc]backup-simplify: Simplify 0 into 0 1546251817.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546251817.300 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546251817.300 * [misc]backup-simplify: Simplify 0 into 0 1546251817.303 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546251817.307 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546251817.307 * [misc]backup-simplify: Simplify 0 into 0 1546251817.311 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546251817.315 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546251817.315 * [misc]backup-simplify: Simplify 0 into 0 1546251817.315 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546251817.315 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546251817.315 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546251817.315 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.315 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.315 * [misc]backup-simplify: Simplify 2 into 2 1546251817.315 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.316 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.316 * [misc]backup-simplify: Simplify PI into PI 1546251817.316 * [misc]taylor: Taking taylor expansion of n in n 1546251817.316 * [misc]backup-simplify: Simplify 0 into 0 1546251817.316 * [misc]backup-simplify: Simplify 1 into 1 1546251817.316 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.316 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.316 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.316 * [misc]backup-simplify: Simplify 2 into 2 1546251817.316 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.316 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.316 * [misc]backup-simplify: Simplify PI into PI 1546251817.316 * [misc]taylor: Taking taylor expansion of n in n 1546251817.316 * [misc]backup-simplify: Simplify 0 into 0 1546251817.316 * [misc]backup-simplify: Simplify 1 into 1 1546251817.317 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.317 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.317 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.319 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251817.319 * [misc]backup-simplify: Simplify 0 into 0 1546251817.320 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.321 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.321 * [misc]backup-simplify: Simplify 0 into 0 1546251817.323 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.325 * [misc]backup-simplify: Simplify 0 into 0 1546251817.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.329 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546251817.329 * [misc]backup-simplify: Simplify 0 into 0 1546251817.331 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.334 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546251817.334 * [misc]backup-simplify: Simplify 0 into 0 1546251817.337 * [misc]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 1546251817.340 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546251817.340 * [misc]backup-simplify: Simplify 0 into 0 1546251817.340 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546251817.341 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546251817.341 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546251817.341 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.341 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.341 * [misc]backup-simplify: Simplify -2 into -2 1546251817.341 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.341 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.341 * [misc]backup-simplify: Simplify PI into PI 1546251817.341 * [misc]taylor: Taking taylor expansion of n in n 1546251817.341 * [misc]backup-simplify: Simplify 0 into 0 1546251817.341 * [misc]backup-simplify: Simplify 1 into 1 1546251817.341 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.341 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.341 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.341 * [misc]backup-simplify: Simplify -2 into -2 1546251817.341 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.341 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.342 * [misc]backup-simplify: Simplify PI into PI 1546251817.342 * [misc]taylor: Taking taylor expansion of n in n 1546251817.342 * [misc]backup-simplify: Simplify 0 into 0 1546251817.342 * [misc]backup-simplify: Simplify 1 into 1 1546251817.342 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.342 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.342 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.344 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.344 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546251817.344 * [misc]backup-simplify: Simplify 0 into 0 1546251817.345 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.346 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.346 * [misc]backup-simplify: Simplify 0 into 0 1546251817.348 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.350 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.350 * [misc]backup-simplify: Simplify 0 into 0 1546251817.352 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.354 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546251817.354 * [misc]backup-simplify: Simplify 0 into 0 1546251817.356 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.359 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546251817.359 * [misc]backup-simplify: Simplify 0 into 0 1546251817.362 * [misc]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 1546251817.365 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546251817.366 * [misc]backup-simplify: Simplify 0 into 0 1546251817.366 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546251817.366 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546251817.366 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546251817.366 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546251817.366 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546251817.367 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251817.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.367 * [misc]taylor: Taking taylor expansion of k in k 1546251817.367 * [misc]backup-simplify: Simplify 0 into 0 1546251817.367 * [misc]backup-simplify: Simplify 1 into 1 1546251817.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.367 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.368 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251817.368 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.368 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.368 * [misc]taylor: Taking taylor expansion of k in k 1546251817.368 * [misc]backup-simplify: Simplify 0 into 0 1546251817.368 * [misc]backup-simplify: Simplify 1 into 1 1546251817.368 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.368 * [misc]backup-simplify: Simplify 2 into 2 1546251817.368 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546251817.368 * [misc]taylor: Taking taylor expansion of n in k 1546251817.368 * [misc]backup-simplify: Simplify n into n 1546251817.368 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.368 * [misc]backup-simplify: Simplify PI into PI 1546251817.368 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546251817.368 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546251817.369 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546251817.369 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251817.369 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.369 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.369 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546251817.369 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546251817.369 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546251817.369 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546251817.369 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.369 * [misc]taylor: Taking taylor expansion of k in n 1546251817.369 * [misc]backup-simplify: Simplify k into k 1546251817.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.370 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546251817.370 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546251817.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.370 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.370 * [misc]taylor: Taking taylor expansion of k in n 1546251817.370 * [misc]backup-simplify: Simplify k into k 1546251817.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.370 * [misc]backup-simplify: Simplify 2 into 2 1546251817.370 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.370 * [misc]taylor: Taking taylor expansion of n in n 1546251817.371 * [misc]backup-simplify: Simplify 0 into 0 1546251817.371 * [misc]backup-simplify: Simplify 1 into 1 1546251817.371 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.371 * [misc]backup-simplify: Simplify PI into PI 1546251817.371 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251817.371 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546251817.372 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251817.372 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546251817.373 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.373 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546251817.373 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546251817.373 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546251817.374 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.374 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546251817.375 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1546251817.375 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546251817.375 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546251817.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.375 * [misc]taylor: Taking taylor expansion of k in n 1546251817.375 * [misc]backup-simplify: Simplify k into k 1546251817.375 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.375 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546251817.375 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546251817.375 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546251817.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.376 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.376 * [misc]taylor: Taking taylor expansion of k in n 1546251817.376 * [misc]backup-simplify: Simplify k into k 1546251817.376 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.376 * [misc]backup-simplify: Simplify 2 into 2 1546251817.376 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251817.376 * [misc]taylor: Taking taylor expansion of n in n 1546251817.376 * [misc]backup-simplify: Simplify 0 into 0 1546251817.376 * [misc]backup-simplify: Simplify 1 into 1 1546251817.376 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.376 * [misc]backup-simplify: Simplify PI into PI 1546251817.376 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251817.377 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546251817.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251817.378 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546251817.378 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.378 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546251817.378 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546251817.379 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546251817.379 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.380 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1546251817.381 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1546251817.381 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) 1546251817.381 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546251817.381 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.382 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.382 * [misc]taylor: Taking taylor expansion of k in k 1546251817.382 * [misc]backup-simplify: Simplify 0 into 0 1546251817.382 * [misc]backup-simplify: Simplify 1 into 1 1546251817.382 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of n in k 1546251817.382 * [misc]backup-simplify: Simplify n into n 1546251817.382 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.382 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251817.382 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.382 * [misc]backup-simplify: Simplify 2 into 2 1546251817.382 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.382 * [misc]backup-simplify: Simplify PI into PI 1546251817.382 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.383 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.383 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251817.384 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.384 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.384 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.385 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546251817.386 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546251817.386 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251817.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.386 * [misc]taylor: Taking taylor expansion of k in k 1546251817.386 * [misc]backup-simplify: Simplify 0 into 0 1546251817.386 * [misc]backup-simplify: Simplify 1 into 1 1546251817.386 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.386 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.387 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251817.387 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546251817.387 * [misc]backup-simplify: Simplify 0 into 0 1546251817.388 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251817.390 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546251817.392 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546251817.393 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.394 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.394 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546251817.396 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.397 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546251817.397 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.397 * [misc]backup-simplify: Simplify 0 into 0 1546251817.398 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251817.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251817.401 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.402 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546251817.402 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.402 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546251817.404 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.406 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.407 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.409 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546251817.416 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.416 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546251817.416 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.416 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.417 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.418 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546251817.420 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.421 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.421 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546251817.422 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546251817.422 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.422 * [misc]backup-simplify: Simplify 0 into 0 1546251817.422 * [misc]backup-simplify: Simplify 0 into 0 1546251817.423 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251817.424 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251817.425 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251817.427 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.432 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251817.433 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546251817.436 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1546251817.441 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1546251817.444 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1546251817.446 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546251817.449 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546251817.457 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251817.458 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546251817.458 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546251817.460 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546251817.465 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251817.465 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.466 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546251817.467 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0 1546251817.467 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.467 * [misc]backup-simplify: Simplify 0 into 0 1546251817.467 * [misc]backup-simplify: Simplify 0 into 0 1546251817.467 * [misc]backup-simplify: Simplify 0 into 0 1546251817.467 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.469 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251817.472 * [misc]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 1546251817.474 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.482 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251817.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546251817.483 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546251817.488 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1546251817.498 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1546251817.505 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1546251817.517 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1546251817.517 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546251817.517 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546251817.517 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546251817.517 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251817.517 * [misc]taylor: Taking taylor expansion of k in k 1546251817.517 * [misc]backup-simplify: Simplify 0 into 0 1546251817.517 * [misc]backup-simplify: Simplify 1 into 1 1546251817.518 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.518 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251817.518 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546251817.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546251817.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of k in k 1546251817.519 * [misc]backup-simplify: Simplify 0 into 0 1546251817.519 * [misc]backup-simplify: Simplify 1 into 1 1546251817.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.519 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.519 * [misc]backup-simplify: Simplify 2 into 2 1546251817.519 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546251817.519 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.519 * [misc]backup-simplify: Simplify PI into PI 1546251817.519 * [misc]taylor: Taking taylor expansion of n in k 1546251817.519 * [misc]backup-simplify: Simplify n into n 1546251817.519 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546251817.519 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546251817.520 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546251817.520 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.520 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.520 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546251817.520 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546251817.520 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546251817.520 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of k in n 1546251817.521 * [misc]backup-simplify: Simplify k into k 1546251817.521 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546251817.521 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546251817.521 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of k in n 1546251817.521 * [misc]backup-simplify: Simplify k into k 1546251817.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.521 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.521 * [misc]backup-simplify: Simplify 2 into 2 1546251817.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.521 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.521 * [misc]backup-simplify: Simplify PI into PI 1546251817.521 * [misc]taylor: Taking taylor expansion of n in n 1546251817.521 * [misc]backup-simplify: Simplify 0 into 0 1546251817.521 * [misc]backup-simplify: Simplify 1 into 1 1546251817.522 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.522 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.523 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.523 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.523 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546251817.523 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546251817.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.524 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546251817.525 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.525 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546251817.525 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546251817.525 * [misc]taylor: Taking taylor expansion of k in n 1546251817.525 * [misc]backup-simplify: Simplify k into k 1546251817.525 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546251817.525 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546251817.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546251817.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546251817.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of k in n 1546251817.526 * [misc]backup-simplify: Simplify k into k 1546251817.526 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of 2 in n 1546251817.526 * [misc]backup-simplify: Simplify 2 into 2 1546251817.526 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.526 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.526 * [misc]backup-simplify: Simplify PI into PI 1546251817.526 * [misc]taylor: Taking taylor expansion of n in n 1546251817.526 * [misc]backup-simplify: Simplify 0 into 0 1546251817.526 * [misc]backup-simplify: Simplify 1 into 1 1546251817.526 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.527 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.527 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.527 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.527 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546251817.528 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546251817.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.529 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546251817.530 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.530 * [misc]backup-simplify: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) 1546251817.530 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546251817.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of k in k 1546251817.531 * [misc]backup-simplify: Simplify 0 into 0 1546251817.531 * [misc]backup-simplify: Simplify 1 into 1 1546251817.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.531 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251817.531 * [misc]taylor: Taking taylor expansion of 2 in k 1546251817.531 * [misc]backup-simplify: Simplify 2 into 2 1546251817.531 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.531 * [misc]backup-simplify: Simplify PI into PI 1546251817.532 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251817.532 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251817.532 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.532 * [misc]taylor: Taking taylor expansion of n in k 1546251817.532 * [misc]backup-simplify: Simplify n into n 1546251817.532 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.532 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.533 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251817.533 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251817.533 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251817.533 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546251817.534 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546251817.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1546251817.535 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251817.535 * [misc]taylor: Taking taylor expansion of k in k 1546251817.535 * [misc]backup-simplify: Simplify 0 into 0 1546251817.535 * [misc]backup-simplify: Simplify 1 into 1 1546251817.535 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.535 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251817.536 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546251817.536 * [misc]backup-simplify: Simplify 0 into 0 1546251817.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.538 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251817.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251817.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546251817.541 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.543 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546251817.545 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.546 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546251817.546 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.546 * [misc]backup-simplify: Simplify 0 into 0 1546251817.546 * [misc]backup-simplify: Simplify 0 into 0 1546251817.547 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.548 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.549 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.555 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251817.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.556 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251817.556 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.558 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546251817.560 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.561 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546251817.562 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546251817.562 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.562 * [misc]backup-simplify: Simplify 0 into 0 1546251817.562 * [misc]backup-simplify: Simplify 0 into 0 1546251817.562 * [misc]backup-simplify: Simplify 0 into 0 1546251817.563 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251817.564 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.565 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251817.576 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251817.576 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251817.577 * [misc]backup-simplify: Simplify (- 0) into 0 1546251817.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.578 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546251817.579 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546251817.583 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251817.583 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546251817.584 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1546251817.584 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.584 * [misc]backup-simplify: Simplify 0 into 0 1546251817.584 * [misc]backup-simplify: Simplify 0 into 0 1546251817.584 * [misc]backup-simplify: Simplify 0 into 0 1546251817.585 * [misc]backup-simplify: Simplify 0 into 0 1546251817.586 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251817.587 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.587 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546251817.590 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1546251817.590 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546251817.590 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546251817.590 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.591 * [misc]taylor: Taking taylor expansion of k in k 1546251817.591 * [misc]backup-simplify: Simplify 0 into 0 1546251817.591 * [misc]backup-simplify: Simplify 1 into 1 1546251817.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.591 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546251817.591 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546251817.591 * [misc]taylor: Taking taylor expansion of -2 in k 1546251817.591 * [misc]backup-simplify: Simplify -2 into -2 1546251817.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546251817.591 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.591 * [misc]backup-simplify: Simplify PI into PI 1546251817.591 * [misc]taylor: Taking taylor expansion of n in k 1546251817.591 * [misc]backup-simplify: Simplify n into n 1546251817.591 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546251817.591 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546251817.591 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546251817.592 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.592 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.592 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546251817.592 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1546251817.592 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251817.592 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251817.592 * [misc]taylor: Taking taylor expansion of -1 in k 1546251817.592 * [misc]backup-simplify: Simplify -1 into -1 1546251817.592 * [misc]taylor: Taking taylor expansion of k in k 1546251817.592 * [misc]backup-simplify: Simplify 0 into 0 1546251817.592 * [misc]backup-simplify: Simplify 1 into 1 1546251817.592 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251817.593 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.593 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251817.593 * [misc]backup-simplify: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546251817.593 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of k in n 1546251817.594 * [misc]backup-simplify: Simplify k into k 1546251817.594 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.594 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.594 * [misc]backup-simplify: Simplify -2 into -2 1546251817.594 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.594 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.594 * [misc]backup-simplify: Simplify PI into PI 1546251817.594 * [misc]taylor: Taking taylor expansion of n in n 1546251817.594 * [misc]backup-simplify: Simplify 0 into 0 1546251817.594 * [misc]backup-simplify: Simplify 1 into 1 1546251817.594 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.595 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.595 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.595 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.595 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251817.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.597 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546251817.597 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.597 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546251817.597 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251817.597 * [misc]taylor: Taking taylor expansion of -1 in n 1546251817.597 * [misc]backup-simplify: Simplify -1 into -1 1546251817.598 * [misc]taylor: Taking taylor expansion of k in n 1546251817.598 * [misc]backup-simplify: Simplify k into k 1546251817.598 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251817.598 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546251817.598 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251817.598 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546251817.599 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1546251817.599 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.599 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of k in n 1546251817.599 * [misc]backup-simplify: Simplify k into k 1546251817.599 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251817.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251817.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.599 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546251817.599 * [misc]taylor: Taking taylor expansion of -2 in n 1546251817.599 * [misc]backup-simplify: Simplify -2 into -2 1546251817.600 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546251817.600 * [misc]taylor: Taking taylor expansion of PI in n 1546251817.600 * [misc]backup-simplify: Simplify PI into PI 1546251817.600 * [misc]taylor: Taking taylor expansion of n in n 1546251817.600 * [misc]backup-simplify: Simplify 0 into 0 1546251817.600 * [misc]backup-simplify: Simplify 1 into 1 1546251817.600 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546251817.600 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.601 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.601 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546251817.601 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251817.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.602 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546251817.603 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.603 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546251817.603 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251817.603 * [misc]taylor: Taking taylor expansion of -1 in n 1546251817.603 * [misc]backup-simplify: Simplify -1 into -1 1546251817.603 * [misc]taylor: Taking taylor expansion of k in n 1546251817.603 * [misc]backup-simplify: Simplify k into k 1546251817.603 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251817.603 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546251817.603 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251817.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546251817.604 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) 1546251817.604 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546251817.604 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546251817.604 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of k in k 1546251817.605 * [misc]backup-simplify: Simplify 0 into 0 1546251817.605 * [misc]backup-simplify: Simplify 1 into 1 1546251817.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251817.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251817.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251817.605 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546251817.605 * [misc]taylor: Taking taylor expansion of -2 in k 1546251817.605 * [misc]backup-simplify: Simplify -2 into -2 1546251817.605 * [misc]taylor: Taking taylor expansion of PI in k 1546251817.605 * [misc]backup-simplify: Simplify PI into PI 1546251817.605 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546251817.606 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546251817.606 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251817.606 * [misc]taylor: Taking taylor expansion of n in k 1546251817.606 * [misc]backup-simplify: Simplify n into n 1546251817.606 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251817.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251817.606 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251817.606 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251817.607 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546251817.608 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546251817.608 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546251817.608 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251817.608 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251817.608 * [misc]taylor: Taking taylor expansion of -1 in k 1546251817.608 * [misc]backup-simplify: Simplify -1 into -1 1546251817.608 * [misc]taylor: Taking taylor expansion of k in k 1546251817.608 * [misc]backup-simplify: Simplify 0 into 0 1546251817.608 * [misc]backup-simplify: Simplify 1 into 1 1546251817.609 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251817.609 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251817.609 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251817.610 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546251817.611 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546251817.612 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546251817.612 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546251817.615 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546251817.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251817.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546251817.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.617 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546251817.619 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251817.619 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1546251817.620 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.620 * [misc]backup-simplify: Simplify 0 into 0 1546251817.620 * [misc]backup-simplify: Simplify 0 into 0 1546251817.620 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251817.621 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251817.622 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546251817.623 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546251817.624 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.625 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251817.630 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1546251817.630 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.631 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251817.631 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251817.632 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546251817.632 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546251817.636 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251817.636 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251817.637 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546251817.638 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1546251817.638 * [misc]taylor: Taking taylor expansion of 0 in k 1546251817.638 * [misc]backup-simplify: Simplify 0 into 0 1546251817.638 * [misc]backup-simplify: Simplify 0 into 0 1546251817.638 * [misc]backup-simplify: Simplify 0 into 0 1546251817.638 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251817.639 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251817.641 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546251817.642 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1546251817.644 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1546251817.644 * * * [misc]progress: simplifying candidates 1546251817.644 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1546251817.645 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1546251817.645 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1546251817.645 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546251817.645 * * [misc]simplify: iters left: 6 (11 enodes) 1546251817.649 * * [misc]simplify: iters left: 5 (21 enodes) 1546251817.656 * * [misc]simplify: iters left: 4 (47 enodes) 1546251817.674 * * [misc]simplify: iters left: 3 (113 enodes) 1546251817.733 * * [misc]simplify: iters left: 2 (328 enodes) 1546251818.012 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546251818.012 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546251818.012 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1546251818.013 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1546251818.013 * [enter]simplify: Simplifying (* PI (* n 2)) 1546251818.013 * * [misc]simplify: iters left: 4 (5 enodes) 1546251818.014 * * [misc]simplify: iters left: 3 (9 enodes) 1546251818.017 * * [misc]simplify: iters left: 2 (15 enodes) 1546251818.021 * * [misc]simplify: iters left: 1 (17 enodes) 1546251818.025 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546251818.025 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546251818.025 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1546251818.025 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546251818.025 * * [misc]simplify: iters left: 5 (8 enodes) 1546251818.028 * * [misc]simplify: iters left: 4 (12 enodes) 1546251818.032 * * [misc]simplify: iters left: 3 (18 enodes) 1546251818.036 * * [misc]simplify: iters left: 2 (20 enodes) 1546251818.038 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546251818.038 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546251818.039 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1546251818.039 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546251818.039 * * [misc]simplify: iters left: 5 (6 enodes) 1546251818.040 * * [misc]simplify: iters left: 4 (8 enodes) 1546251818.043 * * [misc]simplify: iters left: 3 (11 enodes) 1546251818.045 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546251818.045 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1546251818.045 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1546251818.045 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546251818.045 * * [misc]simplify: iters left: 5 (6 enodes) 1546251818.046 * * [misc]simplify: iters left: 4 (8 enodes) 1546251818.047 * * [misc]simplify: iters left: 3 (11 enodes) 1546251818.049 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546251818.049 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1546251818.049 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1546251818.049 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546251818.049 * * [misc]simplify: iters left: 4 (5 enodes) 1546251818.050 * * [misc]simplify: iters left: 3 (7 enodes) 1546251818.051 * * [misc]simplify: iters left: 2 (10 enodes) 1546251818.052 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546251818.052 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546251818.052 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1546251818.052 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546251818.052 * * [misc]simplify: iters left: 5 (9 enodes) 1546251818.054 * * [misc]simplify: iters left: 4 (15 enodes) 1546251818.056 * * [misc]simplify: iters left: 3 (21 enodes) 1546251818.058 * * [misc]simplify: iters left: 2 (22 enodes) 1546251818.061 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546251818.061 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546251818.061 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1546251818.061 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546251818.061 * * [misc]simplify: iters left: 5 (9 enodes) 1546251818.062 * * [misc]simplify: iters left: 4 (15 enodes) 1546251818.064 * * [misc]simplify: iters left: 3 (21 enodes) 1546251818.067 * * [misc]simplify: iters left: 2 (22 enodes) 1546251818.070 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546251818.070 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546251818.070 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1546251818.070 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546251818.070 * * [misc]simplify: iters left: 5 (7 enodes) 1546251818.071 * * [misc]simplify: iters left: 4 (9 enodes) 1546251818.073 * * [misc]simplify: iters left: 3 (12 enodes) 1546251818.076 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546251818.076 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1546251818.076 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1546251818.077 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1546251818.078 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1546251818.078 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1546251818.078 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1546251818.078 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1546251818.078 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1546251818.078 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546251818.078 * * [misc]simplify: iters left: 6 (14 enodes) 1546251818.083 * * [misc]simplify: iters left: 5 (27 enodes) 1546251818.092 * * [misc]simplify: iters left: 4 (55 enodes) 1546251818.114 * * [misc]simplify: iters left: 3 (144 enodes) 1546251818.195 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546251818.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546251818.195 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1546251818.195 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546251818.195 * * [misc]simplify: iters left: 6 (14 enodes) 1546251818.197 * * [misc]simplify: iters left: 5 (27 enodes) 1546251818.204 * * [misc]simplify: iters left: 4 (55 enodes) 1546251818.225 * * [misc]simplify: iters left: 3 (144 enodes) 1546251818.307 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546251818.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546251818.308 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1546251818.308 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546251818.308 * * [misc]simplify: iters left: 6 (14 enodes) 1546251818.312 * * [misc]simplify: iters left: 5 (24 enodes) 1546251818.320 * * [misc]simplify: iters left: 4 (43 enodes) 1546251818.333 * * [misc]simplify: iters left: 3 (73 enodes) 1546251818.359 * * [misc]simplify: iters left: 2 (220 enodes) 1546251818.550 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546251818.551 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546251818.551 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1546251818.551 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1546251818.551 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1546251818.551 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251818.551 * * [misc]simplify: iters left: 6 (16 enodes) 1546251818.554 * * [misc]simplify: iters left: 5 (31 enodes) 1546251818.558 * * [misc]simplify: iters left: 4 (67 enodes) 1546251818.569 * * [misc]simplify: iters left: 3 (124 enodes) 1546251818.614 * * [misc]simplify: iters left: 2 (195 enodes) 1546251818.686 * * [misc]simplify: iters left: 1 (309 enodes) 1546251818.863 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1546251818.863 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1546251818.863 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1546251818.863 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1546251818.863 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1546251818.863 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1546251818.863 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1546251818.863 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251818.864 * * [misc]simplify: iters left: 6 (12 enodes) 1546251818.867 * * [misc]simplify: iters left: 5 (19 enodes) 1546251818.873 * * [misc]simplify: iters left: 4 (25 enodes) 1546251818.879 * * [misc]simplify: iters left: 3 (26 enodes) 1546251818.886 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251818.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1546251818.886 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546251818.886 * * [misc]simplify: iters left: 6 (12 enodes) 1546251818.890 * * [misc]simplify: iters left: 5 (18 enodes) 1546251818.895 * * [misc]simplify: iters left: 4 (24 enodes) 1546251818.901 * * [misc]simplify: iters left: 3 (25 enodes) 1546251818.907 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546251818.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1546251818.908 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1546251818.908 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546251818.908 * * [misc]simplify: iters left: 6 (11 enodes) 1546251818.911 * * [misc]simplify: iters left: 5 (16 enodes) 1546251818.916 * * [misc]simplify: iters left: 4 (22 enodes) 1546251818.921 * * [misc]simplify: iters left: 3 (24 enodes) 1546251818.927 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546251818.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1546251818.928 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546251818.928 * * [misc]simplify: iters left: 6 (12 enodes) 1546251818.931 * * [misc]simplify: iters left: 5 (18 enodes) 1546251818.937 * * [misc]simplify: iters left: 4 (24 enodes) 1546251818.943 * * [misc]simplify: iters left: 3 (25 enodes) 1546251818.950 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546251818.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1546251818.950 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1546251818.950 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546251818.950 * * [misc]simplify: iters left: 6 (9 enodes) 1546251818.953 * * [misc]simplify: iters left: 5 (16 enodes) 1546251818.958 * * [misc]simplify: iters left: 4 (24 enodes) 1546251818.964 * * [misc]simplify: iters left: 3 (26 enodes) 1546251818.969 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546251818.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546251818.970 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546251818.970 * * [misc]simplify: iters left: 6 (11 enodes) 1546251818.974 * * [misc]simplify: iters left: 5 (17 enodes) 1546251818.980 * * [misc]simplify: iters left: 4 (23 enodes) 1546251818.986 * * [misc]simplify: iters left: 3 (24 enodes) 1546251818.992 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546251818.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546251818.992 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1546251818.993 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251818.993 * * [misc]simplify: iters left: 6 (12 enodes) 1546251818.997 * * [misc]simplify: iters left: 5 (19 enodes) 1546251819.002 * * [misc]simplify: iters left: 4 (25 enodes) 1546251819.009 * * [misc]simplify: iters left: 3 (26 enodes) 1546251819.015 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1546251819.015 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546251819.015 * * [misc]simplify: iters left: 6 (12 enodes) 1546251819.019 * * [misc]simplify: iters left: 5 (18 enodes) 1546251819.024 * * [misc]simplify: iters left: 4 (24 enodes) 1546251819.027 * * [misc]simplify: iters left: 3 (25 enodes) 1546251819.030 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546251819.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1546251819.030 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1546251819.030 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546251819.030 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.032 * * [misc]simplify: iters left: 5 (16 enodes) 1546251819.034 * * [misc]simplify: iters left: 4 (22 enodes) 1546251819.037 * * [misc]simplify: iters left: 3 (24 enodes) 1546251819.039 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546251819.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1546251819.040 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546251819.040 * * [misc]simplify: iters left: 6 (12 enodes) 1546251819.041 * * [misc]simplify: iters left: 5 (18 enodes) 1546251819.044 * * [misc]simplify: iters left: 4 (24 enodes) 1546251819.047 * * [misc]simplify: iters left: 3 (25 enodes) 1546251819.050 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546251819.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1546251819.050 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1546251819.050 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546251819.050 * * [misc]simplify: iters left: 6 (9 enodes) 1546251819.052 * * [misc]simplify: iters left: 5 (16 enodes) 1546251819.057 * * [misc]simplify: iters left: 4 (24 enodes) 1546251819.062 * * [misc]simplify: iters left: 3 (26 enodes) 1546251819.068 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546251819.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546251819.068 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546251819.068 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.071 * * [misc]simplify: iters left: 5 (17 enodes) 1546251819.076 * * [misc]simplify: iters left: 4 (23 enodes) 1546251819.082 * * [misc]simplify: iters left: 3 (24 enodes) 1546251819.088 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546251819.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546251819.088 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1546251819.089 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.089 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.092 * * [misc]simplify: iters left: 5 (15 enodes) 1546251819.098 * * [misc]simplify: iters left: 4 (18 enodes) 1546251819.103 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546251819.103 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546251819.103 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.106 * * [misc]simplify: iters left: 5 (14 enodes) 1546251819.110 * * [misc]simplify: iters left: 4 (17 enodes) 1546251819.115 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546251819.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546251819.115 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1546251819.115 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.115 * * [misc]simplify: iters left: 6 (10 enodes) 1546251819.118 * * [misc]simplify: iters left: 5 (12 enodes) 1546251819.122 * * [misc]simplify: iters left: 4 (15 enodes) 1546251819.126 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546251819.126 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.126 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.129 * * [misc]simplify: iters left: 5 (14 enodes) 1546251819.133 * * [misc]simplify: iters left: 4 (17 enodes) 1546251819.138 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546251819.138 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1546251819.138 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546251819.138 * * [misc]simplify: iters left: 6 (9 enodes) 1546251819.141 * * [misc]simplify: iters left: 5 (13 enodes) 1546251819.146 * * [misc]simplify: iters left: 4 (18 enodes) 1546251819.150 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546251819.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546251819.150 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546251819.151 * * [misc]simplify: iters left: 6 (10 enodes) 1546251819.154 * * [misc]simplify: iters left: 5 (13 enodes) 1546251819.158 * * [misc]simplify: iters left: 4 (16 enodes) 1546251819.162 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546251819.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546251819.162 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1546251819.163 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.163 * * [misc]simplify: iters left: 6 (16 enodes) 1546251819.169 * * [misc]simplify: iters left: 5 (28 enodes) 1546251819.176 * * [misc]simplify: iters left: 4 (46 enodes) 1546251819.182 * * [misc]simplify: iters left: 3 (50 enodes) 1546251819.188 * * [misc]simplify: iters left: 2 (53 enodes) 1546251819.195 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546251819.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546251819.195 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546251819.195 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.197 * * [misc]simplify: iters left: 5 (20 enodes) 1546251819.200 * * [misc]simplify: iters left: 4 (29 enodes) 1546251819.204 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.207 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546251819.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546251819.208 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1546251819.208 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546251819.208 * * [misc]simplify: iters left: 6 (15 enodes) 1546251819.214 * * [misc]simplify: iters left: 5 (23 enodes) 1546251819.220 * * [misc]simplify: iters left: 4 (34 enodes) 1546251819.229 * * [misc]simplify: iters left: 3 (37 enodes) 1546251819.239 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546251819.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546251819.239 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.239 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.243 * * [misc]simplify: iters left: 5 (20 enodes) 1546251819.249 * * [misc]simplify: iters left: 4 (29 enodes) 1546251819.257 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.265 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546251819.265 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1546251819.266 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546251819.266 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.271 * * [misc]simplify: iters left: 5 (24 enodes) 1546251819.278 * * [misc]simplify: iters left: 4 (39 enodes) 1546251819.289 * * [misc]simplify: iters left: 3 (54 enodes) 1546251819.302 * * [misc]simplify: iters left: 2 (80 enodes) 1546251819.323 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546251819.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1546251819.325 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546251819.325 * * [misc]simplify: iters left: 6 (13 enodes) 1546251819.329 * * [misc]simplify: iters left: 5 (19 enodes) 1546251819.334 * * [misc]simplify: iters left: 4 (28 enodes) 1546251819.342 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.350 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546251819.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1546251819.350 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1546251819.350 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.350 * * [misc]simplify: iters left: 6 (15 enodes) 1546251819.355 * * [misc]simplify: iters left: 5 (23 enodes) 1546251819.363 * * [misc]simplify: iters left: 4 (32 enodes) 1546251819.371 * * [misc]simplify: iters left: 3 (34 enodes) 1546251819.380 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.380 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546251819.380 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546251819.380 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.384 * * [misc]simplify: iters left: 5 (20 enodes) 1546251819.390 * * [misc]simplify: iters left: 4 (29 enodes) 1546251819.398 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.406 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546251819.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546251819.406 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1546251819.406 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.406 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.411 * * [misc]simplify: iters left: 5 (20 enodes) 1546251819.417 * * [misc]simplify: iters left: 4 (29 enodes) 1546251819.424 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.432 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546251819.432 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.432 * * [misc]simplify: iters left: 6 (14 enodes) 1546251819.436 * * [misc]simplify: iters left: 5 (20 enodes) 1546251819.442 * * [misc]simplify: iters left: 4 (29 enodes) 1546251819.449 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.457 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546251819.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546251819.457 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1546251819.457 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546251819.457 * * [misc]simplify: iters left: 6 (13 enodes) 1546251819.462 * * [misc]simplify: iters left: 5 (21 enodes) 1546251819.469 * * [misc]simplify: iters left: 4 (32 enodes) 1546251819.476 * * [misc]simplify: iters left: 3 (33 enodes) 1546251819.482 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546251819.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1546251819.482 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546251819.482 * * [misc]simplify: iters left: 6 (13 enodes) 1546251819.484 * * [misc]simplify: iters left: 5 (19 enodes) 1546251819.487 * * [misc]simplify: iters left: 4 (28 enodes) 1546251819.490 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.495 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546251819.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1546251819.495 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1546251819.495 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251819.495 * * [misc]simplify: iters left: 6 (6 enodes) 1546251819.496 * * [misc]simplify: iters left: 5 (10 enodes) 1546251819.498 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546251819.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546251819.498 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546251819.498 * * [misc]simplify: iters left: 6 (13 enodes) 1546251819.500 * * [misc]simplify: iters left: 5 (19 enodes) 1546251819.502 * * [misc]simplify: iters left: 4 (28 enodes) 1546251819.506 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.510 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546251819.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546251819.510 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1546251819.510 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546251819.510 * * [misc]simplify: iters left: 4 (5 enodes) 1546251819.511 * * [misc]simplify: iters left: 3 (7 enodes) 1546251819.512 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546251819.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546251819.512 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.512 * * [misc]simplify: iters left: 6 (13 enodes) 1546251819.514 * * [misc]simplify: iters left: 5 (19 enodes) 1546251819.517 * * [misc]simplify: iters left: 4 (28 enodes) 1546251819.520 * * [misc]simplify: iters left: 3 (30 enodes) 1546251819.524 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546251819.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546251819.524 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1546251819.524 * [enter]simplify: Simplifying (/ 1 1) 1546251819.524 * * [misc]simplify: iters left: 2 (2 enodes) 1546251819.525 * * [misc]simplify: iters left: 1 (4 enodes) 1546251819.525 * [exit]simplify: Simplified to 1 1546251819.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546251819.525 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546251819.525 * * [misc]simplify: iters left: 6 (12 enodes) 1546251819.527 * * [misc]simplify: iters left: 5 (18 enodes) 1546251819.529 * * [misc]simplify: iters left: 4 (27 enodes) 1546251819.533 * * [misc]simplify: iters left: 3 (29 enodes) 1546251819.536 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546251819.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546251819.536 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1546251819.536 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1546251819.536 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1546251819.536 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1546251819.537 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546251819.537 * * [misc]simplify: iters left: 2 (3 enodes) 1546251819.537 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546251819.537 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1546251819.537 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1546251819.537 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546251819.537 * * [misc]simplify: iters left: 2 (3 enodes) 1546251819.538 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546251819.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546251819.538 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1546251819.538 * [enter]simplify: Simplifying (sqrt k) 1546251819.538 * * [misc]simplify: iters left: 1 (2 enodes) 1546251819.538 * [exit]simplify: Simplified to (sqrt k) 1546251819.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546251819.538 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1546251819.538 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546251819.538 * * [misc]simplify: iters left: 5 (7 enodes) 1546251819.539 * * [misc]simplify: iters left: 4 (12 enodes) 1546251819.541 * * [misc]simplify: iters left: 3 (18 enodes) 1546251819.543 * * [misc]simplify: iters left: 2 (20 enodes) 1546251819.548 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546251819.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546251819.548 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1546251819.548 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546251819.548 * * [misc]simplify: iters left: 5 (7 enodes) 1546251819.550 * * [misc]simplify: iters left: 4 (12 enodes) 1546251819.554 * * [misc]simplify: iters left: 3 (18 enodes) 1546251819.559 * * [misc]simplify: iters left: 2 (20 enodes) 1546251819.563 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546251819.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546251819.563 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1546251819.564 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546251819.564 * * [misc]simplify: iters left: 5 (7 enodes) 1546251819.566 * * [misc]simplify: iters left: 4 (9 enodes) 1546251819.569 * * [misc]simplify: iters left: 3 (12 enodes) 1546251819.572 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546251819.572 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546251819.572 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1546251819.573 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546251819.573 * * [misc]simplify: iters left: 6 (12 enodes) 1546251819.577 * * [misc]simplify: iters left: 5 (18 enodes) 1546251819.582 * * [misc]simplify: iters left: 4 (27 enodes) 1546251819.591 * * [misc]simplify: iters left: 3 (29 enodes) 1546251819.598 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546251819.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546251819.599 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1546251819.599 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546251819.599 * * [misc]simplify: iters left: 6 (11 enodes) 1546251819.603 * * [misc]simplify: iters left: 5 (17 enodes) 1546251819.608 * * [misc]simplify: iters left: 4 (26 enodes) 1546251819.617 * * [misc]simplify: iters left: 3 (27 enodes) 1546251819.624 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546251819.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546251819.624 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1546251819.624 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1546251819.625 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546251819.625 * * [misc]simplify: iters left: 5 (7 enodes) 1546251819.627 * * [misc]simplify: iters left: 4 (12 enodes) 1546251819.630 * * [misc]simplify: iters left: 3 (18 enodes) 1546251819.635 * * [misc]simplify: iters left: 2 (20 enodes) 1546251819.640 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546251819.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546251819.640 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1546251819.640 * [enter]simplify: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1546251819.641 * * [misc]simplify: iters left: 6 (37 enodes) 1546251819.656 * * [misc]simplify: iters left: 5 (108 enodes) 1546251819.699 * * [misc]simplify: iters left: 4 (368 enodes) 1546251819.944 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546251819.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1546251819.944 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1546251819.944 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546251819.945 * * [misc]simplify: iters left: 6 (15 enodes) 1546251819.951 * * [misc]simplify: iters left: 5 (33 enodes) 1546251819.962 * * [misc]simplify: iters left: 4 (64 enodes) 1546251819.989 * * [misc]simplify: iters left: 3 (179 enodes) 1546251820.084 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546251820.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251820.084 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1546251820.084 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546251820.084 * * [misc]simplify: iters left: 6 (15 enodes) 1546251820.087 * * [misc]simplify: iters left: 5 (30 enodes) 1546251820.093 * * [misc]simplify: iters left: 4 (65 enodes) 1546251820.114 * * [misc]simplify: iters left: 3 (208 enodes) 1546251820.287 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546251820.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546251820.287 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1546251820.287 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546251820.287 * * [misc]simplify: iters left: 4 (5 enodes) 1546251820.289 * * [misc]simplify: iters left: 3 (9 enodes) 1546251820.292 * * [misc]simplify: iters left: 2 (15 enodes) 1546251820.296 * * [misc]simplify: iters left: 1 (17 enodes) 1546251820.300 * [exit]simplify: Simplified to (* (* PI n) 2) 1546251820.300 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546251820.300 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1546251820.300 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546251820.300 * * [misc]simplify: iters left: 4 (5 enodes) 1546251820.302 * * [misc]simplify: iters left: 3 (9 enodes) 1546251820.305 * * [misc]simplify: iters left: 2 (15 enodes) 1546251820.309 * * [misc]simplify: iters left: 1 (17 enodes) 1546251820.312 * [exit]simplify: Simplified to (* (* PI n) 2) 1546251820.312 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546251820.313 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1546251820.313 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546251820.313 * * [misc]simplify: iters left: 4 (5 enodes) 1546251820.315 * * [misc]simplify: iters left: 3 (9 enodes) 1546251820.317 * * [misc]simplify: iters left: 2 (15 enodes) 1546251820.320 * * [misc]simplify: iters left: 1 (17 enodes) 1546251820.322 * [exit]simplify: Simplified to (* (* PI n) 2) 1546251820.322 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546251820.322 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1546251820.322 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1546251820.322 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251820.323 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1546251820.323 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1546251820.323 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251820.323 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1546251820.323 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1546251820.323 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251820.323 * * * [misc]progress: adding candidates to table 1546251821.440 * * [misc]progress: iteration 2 / 4 1546251821.440 * * * [misc]progress: picking best candidate 1546251821.499 * * * * [misc]pick: Picked # 1546251821.499 * * * [misc]progress: localizing error 1546251821.520 * * * [misc]progress: generating rewritten candidates 1546251821.520 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1546251821.521 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1546251821.522 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1546251821.528 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546251821.542 * * * [misc]progress: generating series expansions 1546251821.542 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1546251821.542 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1546251821.542 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1546251821.542 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251821.542 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251821.542 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251821.542 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.543 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.543 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.543 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.543 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.543 * [misc]taylor: Taking taylor expansion of k in k 1546251821.543 * [misc]backup-simplify: Simplify 0 into 0 1546251821.543 * [misc]backup-simplify: Simplify 1 into 1 1546251821.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.543 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.543 * [misc]taylor: Taking taylor expansion of n in k 1546251821.543 * [misc]backup-simplify: Simplify n into n 1546251821.543 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.543 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.543 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.543 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.543 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.543 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251821.544 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251821.544 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251821.544 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.544 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.544 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.544 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.544 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.544 * [misc]taylor: Taking taylor expansion of k in n 1546251821.544 * [misc]backup-simplify: Simplify k into k 1546251821.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.544 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.544 * [misc]taylor: Taking taylor expansion of n in n 1546251821.544 * [misc]backup-simplify: Simplify 0 into 0 1546251821.544 * [misc]backup-simplify: Simplify 1 into 1 1546251821.544 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.544 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.544 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.548 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.548 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251821.549 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251821.549 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251821.549 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251821.549 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251821.549 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.549 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.549 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.549 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.549 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.549 * [misc]taylor: Taking taylor expansion of k in n 1546251821.549 * [misc]backup-simplify: Simplify k into k 1546251821.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.549 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.549 * [misc]taylor: Taking taylor expansion of n in n 1546251821.549 * [misc]backup-simplify: Simplify 0 into 0 1546251821.549 * [misc]backup-simplify: Simplify 1 into 1 1546251821.549 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.549 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.549 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.550 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251821.550 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251821.550 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.550 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.550 * [misc]taylor: Taking taylor expansion of k in k 1546251821.550 * [misc]backup-simplify: Simplify 0 into 0 1546251821.550 * [misc]backup-simplify: Simplify 1 into 1 1546251821.550 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.550 * [misc]taylor: Taking taylor expansion of n in k 1546251821.550 * [misc]backup-simplify: Simplify n into n 1546251821.550 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.550 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251821.551 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.551 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.551 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.551 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.551 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1546251821.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251821.554 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1546251821.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.554 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.554 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1546251821.555 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.555 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.555 * [misc]backup-simplify: Simplify 0 into 0 1546251821.555 * [misc]backup-simplify: Simplify 0 into 0 1546251821.556 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251821.556 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546251821.556 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251821.557 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251821.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251821.557 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251821.557 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1546251821.561 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251821.561 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546251821.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.562 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.562 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1546251821.564 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.564 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.564 * [misc]backup-simplify: Simplify 0 into 0 1546251821.564 * [misc]backup-simplify: Simplify 0 into 0 1546251821.564 * [misc]backup-simplify: Simplify 0 into 0 1546251821.565 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251821.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.566 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251821.567 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251821.567 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251821.568 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251821.568 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251821.568 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1546251821.568 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.568 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251821.568 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251821.568 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.568 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.568 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.568 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.568 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.568 * [misc]taylor: Taking taylor expansion of k in k 1546251821.569 * [misc]backup-simplify: Simplify 0 into 0 1546251821.569 * [misc]backup-simplify: Simplify 1 into 1 1546251821.569 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.569 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251821.569 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251821.569 * [misc]taylor: Taking taylor expansion of n in k 1546251821.569 * [misc]backup-simplify: Simplify n into n 1546251821.569 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251821.569 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251821.569 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.569 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.569 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251821.569 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251821.570 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.570 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.570 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.570 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.570 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of k in n 1546251821.570 * [misc]backup-simplify: Simplify k into k 1546251821.570 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.570 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251821.570 * [misc]taylor: Taking taylor expansion of n in n 1546251821.570 * [misc]backup-simplify: Simplify 0 into 0 1546251821.570 * [misc]backup-simplify: Simplify 1 into 1 1546251821.570 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.570 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.570 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.570 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.571 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251821.571 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.571 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.571 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251821.571 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251821.571 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.571 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.571 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.571 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.571 * [misc]taylor: Taking taylor expansion of k in n 1546251821.571 * [misc]backup-simplify: Simplify k into k 1546251821.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.571 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251821.572 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251821.572 * [misc]taylor: Taking taylor expansion of n in n 1546251821.572 * [misc]backup-simplify: Simplify 0 into 0 1546251821.572 * [misc]backup-simplify: Simplify 1 into 1 1546251821.572 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.572 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.572 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.572 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.572 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251821.573 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.573 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.573 * [misc]backup-simplify: Simplify -1 into -1 1546251821.573 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.573 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.573 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of k in k 1546251821.573 * [misc]backup-simplify: Simplify 0 into 0 1546251821.573 * [misc]backup-simplify: Simplify 1 into 1 1546251821.573 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.573 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.573 * [misc]taylor: Taking taylor expansion of n in k 1546251821.573 * [misc]backup-simplify: Simplify n into n 1546251821.573 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.573 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251821.574 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251821.574 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251821.574 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1546251821.574 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1546251821.574 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.574 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.574 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251821.577 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251821.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251821.577 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251821.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.577 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.578 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251821.579 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.579 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.579 * [misc]backup-simplify: Simplify 0 into 0 1546251821.579 * [misc]backup-simplify: Simplify 0 into 0 1546251821.579 * [misc]backup-simplify: Simplify 0 into 0 1546251821.579 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.583 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251821.583 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.584 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251821.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.584 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1546251821.586 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.586 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.586 * [misc]backup-simplify: Simplify 0 into 0 1546251821.586 * [misc]backup-simplify: Simplify 0 into 0 1546251821.586 * [misc]backup-simplify: Simplify 0 into 0 1546251821.586 * [misc]backup-simplify: Simplify 0 into 0 1546251821.587 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.593 * [misc]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 1546251821.594 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.594 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251821.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.594 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.595 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1546251821.598 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251821.598 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.598 * [misc]backup-simplify: Simplify 0 into 0 1546251821.598 * [misc]backup-simplify: Simplify 0 into 0 1546251821.598 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251821.598 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1546251821.598 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1546251821.598 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.598 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251821.598 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251821.599 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.599 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.599 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.599 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.599 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.599 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.599 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.599 * [misc]backup-simplify: Simplify -1 into -1 1546251821.599 * [misc]taylor: Taking taylor expansion of k in k 1546251821.599 * [misc]backup-simplify: Simplify 0 into 0 1546251821.599 * [misc]backup-simplify: Simplify 1 into 1 1546251821.599 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.599 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251821.599 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251821.599 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.599 * [misc]backup-simplify: Simplify -1 into -1 1546251821.599 * [misc]taylor: Taking taylor expansion of n in k 1546251821.599 * [misc]backup-simplify: Simplify n into n 1546251821.599 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251821.599 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251821.599 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.600 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.600 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251821.600 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251821.600 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.600 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.600 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.600 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.600 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.600 * [misc]backup-simplify: Simplify -1 into -1 1546251821.600 * [misc]taylor: Taking taylor expansion of k in n 1546251821.600 * [misc]backup-simplify: Simplify k into k 1546251821.600 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.600 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.600 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251821.600 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.600 * [misc]backup-simplify: Simplify -1 into -1 1546251821.600 * [misc]taylor: Taking taylor expansion of n in n 1546251821.600 * [misc]backup-simplify: Simplify 0 into 0 1546251821.600 * [misc]backup-simplify: Simplify 1 into 1 1546251821.601 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.601 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251821.601 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.601 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.601 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.602 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251821.602 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.602 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.602 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.602 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.602 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.602 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.602 * [misc]backup-simplify: Simplify -1 into -1 1546251821.602 * [misc]taylor: Taking taylor expansion of k in n 1546251821.602 * [misc]backup-simplify: Simplify k into k 1546251821.602 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.602 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251821.602 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.603 * [misc]backup-simplify: Simplify -1 into -1 1546251821.603 * [misc]taylor: Taking taylor expansion of n in n 1546251821.603 * [misc]backup-simplify: Simplify 0 into 0 1546251821.603 * [misc]backup-simplify: Simplify 1 into 1 1546251821.603 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.603 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251821.603 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.603 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.604 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251821.604 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.604 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1546251821.604 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1546251821.604 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251821.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251821.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.604 * [misc]taylor: Taking taylor expansion of k in k 1546251821.604 * [misc]backup-simplify: Simplify 0 into 0 1546251821.604 * [misc]backup-simplify: Simplify 1 into 1 1546251821.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.605 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1546251821.605 * [misc]taylor: Taking taylor expansion of (log -1) in k 1546251821.605 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.605 * [misc]backup-simplify: Simplify -1 into -1 1546251821.605 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251821.605 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.605 * [misc]taylor: Taking taylor expansion of n in k 1546251821.605 * [misc]backup-simplify: Simplify n into n 1546251821.605 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.605 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251821.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.605 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251821.606 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1546251821.606 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1546251821.606 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.606 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.607 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251821.609 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251821.609 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251821.609 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251821.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.610 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1546251821.611 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.611 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.611 * [misc]backup-simplify: Simplify 0 into 0 1546251821.612 * [misc]backup-simplify: Simplify 0 into 0 1546251821.612 * [misc]backup-simplify: Simplify 0 into 0 1546251821.612 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.616 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1546251821.616 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.616 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1546251821.617 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.617 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1546251821.619 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.619 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.619 * [misc]backup-simplify: Simplify 0 into 0 1546251821.619 * [misc]backup-simplify: Simplify 0 into 0 1546251821.619 * [misc]backup-simplify: Simplify 0 into 0 1546251821.619 * [misc]backup-simplify: Simplify 0 into 0 1546251821.620 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.626 * [misc]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 1546251821.626 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.627 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1546251821.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.627 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.628 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1546251821.631 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251821.631 * [misc]taylor: Taking taylor expansion of 0 in k 1546251821.631 * [misc]backup-simplify: Simplify 0 into 0 1546251821.631 * [misc]backup-simplify: Simplify 0 into 0 1546251821.632 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251821.632 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1546251821.632 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251821.632 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1546251821.632 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.632 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.632 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.632 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.632 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.632 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.632 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.632 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.632 * [misc]taylor: Taking taylor expansion of k in k 1546251821.632 * [misc]backup-simplify: Simplify 0 into 0 1546251821.632 * [misc]backup-simplify: Simplify 1 into 1 1546251821.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.633 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.633 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.633 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.633 * [misc]backup-simplify: Simplify 2 into 2 1546251821.633 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.633 * [misc]backup-simplify: Simplify PI into PI 1546251821.633 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.633 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.633 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.634 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.634 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.635 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.635 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.635 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.635 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.635 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.635 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.635 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.636 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.636 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.636 * [misc]taylor: Taking taylor expansion of k in k 1546251821.636 * [misc]backup-simplify: Simplify 0 into 0 1546251821.636 * [misc]backup-simplify: Simplify 1 into 1 1546251821.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.636 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.636 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.636 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.636 * [misc]backup-simplify: Simplify 2 into 2 1546251821.636 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.636 * [misc]backup-simplify: Simplify PI into PI 1546251821.636 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.636 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.637 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.637 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.637 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.638 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.639 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1546251821.640 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.643 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.643 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251821.643 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.644 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251821.648 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251821.650 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1546251821.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251821.654 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251821.654 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251821.658 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251821.660 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1546251821.663 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251821.663 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.663 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1546251821.663 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.663 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251821.663 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251821.663 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.663 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.663 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.663 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.663 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.663 * [misc]taylor: Taking taylor expansion of k in k 1546251821.663 * [misc]backup-simplify: Simplify 0 into 0 1546251821.663 * [misc]backup-simplify: Simplify 1 into 1 1546251821.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.664 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.664 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.664 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.664 * [misc]backup-simplify: Simplify 2 into 2 1546251821.664 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.664 * [misc]backup-simplify: Simplify PI into PI 1546251821.664 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.664 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.664 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.664 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.665 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251821.665 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.665 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.665 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251821.665 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251821.665 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.665 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.665 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.665 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.666 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.666 * [misc]taylor: Taking taylor expansion of k in k 1546251821.666 * [misc]backup-simplify: Simplify 0 into 0 1546251821.666 * [misc]backup-simplify: Simplify 1 into 1 1546251821.666 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.666 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.666 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.666 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.666 * [misc]backup-simplify: Simplify 2 into 2 1546251821.666 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.666 * [misc]backup-simplify: Simplify PI into PI 1546251821.666 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.666 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.667 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.667 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.667 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251821.667 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.668 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify 0 into 0 1546251821.668 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251821.668 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.668 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1546251821.668 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.668 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251821.668 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251821.668 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.669 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.669 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.669 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.669 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.669 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.669 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.669 * [misc]backup-simplify: Simplify -1 into -1 1546251821.669 * [misc]taylor: Taking taylor expansion of k in k 1546251821.669 * [misc]backup-simplify: Simplify 0 into 0 1546251821.669 * [misc]backup-simplify: Simplify 1 into 1 1546251821.669 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.669 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.669 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.669 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.669 * [misc]backup-simplify: Simplify 2 into 2 1546251821.669 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.669 * [misc]backup-simplify: Simplify PI into PI 1546251821.669 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.670 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.670 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.670 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.670 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.671 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.671 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.671 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.671 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.671 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.671 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.671 * [misc]backup-simplify: Simplify -1 into -1 1546251821.671 * [misc]taylor: Taking taylor expansion of k in k 1546251821.671 * [misc]backup-simplify: Simplify 0 into 0 1546251821.671 * [misc]backup-simplify: Simplify 1 into 1 1546251821.671 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.671 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.671 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.671 * [misc]backup-simplify: Simplify 2 into 2 1546251821.671 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.671 * [misc]backup-simplify: Simplify PI into PI 1546251821.671 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.672 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.672 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.672 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.672 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.673 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.673 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify 0 into 0 1546251821.673 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251821.674 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1546251821.674 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251821.674 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in (k n) around 0 1546251821.674 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.674 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.674 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.674 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.674 * [misc]taylor: Taking taylor expansion of k in n 1546251821.674 * [misc]backup-simplify: Simplify k into k 1546251821.674 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.674 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.674 * [misc]taylor: Taking taylor expansion of n in n 1546251821.674 * [misc]backup-simplify: Simplify 0 into 0 1546251821.674 * [misc]backup-simplify: Simplify 1 into 1 1546251821.674 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.674 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.674 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.675 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.675 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251821.675 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251821.675 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.675 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.675 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.675 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.675 * [misc]taylor: Taking taylor expansion of k in n 1546251821.675 * [misc]backup-simplify: Simplify k into k 1546251821.675 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.675 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.675 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.675 * [misc]backup-simplify: Simplify 2 into 2 1546251821.675 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.675 * [misc]backup-simplify: Simplify PI into PI 1546251821.675 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.676 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.676 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.676 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.676 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1546251821.676 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1546251821.676 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251821.676 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251821.676 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251821.676 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251821.676 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.677 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.677 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.677 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.677 * [misc]taylor: Taking taylor expansion of k in k 1546251821.677 * [misc]backup-simplify: Simplify 0 into 0 1546251821.677 * [misc]backup-simplify: Simplify 1 into 1 1546251821.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.677 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of n in k 1546251821.677 * [misc]backup-simplify: Simplify n into n 1546251821.677 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.677 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.677 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.677 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.677 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.677 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.677 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.677 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.677 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.677 * [misc]taylor: Taking taylor expansion of k in k 1546251821.677 * [misc]backup-simplify: Simplify 0 into 0 1546251821.677 * [misc]backup-simplify: Simplify 1 into 1 1546251821.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.677 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.677 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.677 * [misc]backup-simplify: Simplify 2 into 2 1546251821.677 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.677 * [misc]backup-simplify: Simplify PI into PI 1546251821.678 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.678 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.678 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.678 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.679 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.679 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.679 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.679 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.679 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.679 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.679 * [misc]taylor: Taking taylor expansion of k in k 1546251821.679 * [misc]backup-simplify: Simplify 0 into 0 1546251821.679 * [misc]backup-simplify: Simplify 1 into 1 1546251821.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.679 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.679 * [misc]taylor: Taking taylor expansion of n in k 1546251821.680 * [misc]backup-simplify: Simplify n into n 1546251821.680 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.680 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.680 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.680 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.680 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.680 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.680 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.680 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.680 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.680 * [misc]taylor: Taking taylor expansion of k in k 1546251821.680 * [misc]backup-simplify: Simplify 0 into 0 1546251821.680 * [misc]backup-simplify: Simplify 1 into 1 1546251821.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.680 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.680 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.680 * [misc]backup-simplify: Simplify 2 into 2 1546251821.680 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.680 * [misc]backup-simplify: Simplify PI into PI 1546251821.680 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.681 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.681 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.681 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.681 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.682 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.682 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1546251821.682 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1546251821.682 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1546251821.682 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.683 * [misc]backup-simplify: Simplify PI into PI 1546251821.683 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1546251821.683 * [misc]taylor: Taking taylor expansion of n in n 1546251821.683 * [misc]backup-simplify: Simplify 0 into 0 1546251821.683 * [misc]backup-simplify: Simplify 1 into 1 1546251821.683 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.683 * [misc]backup-simplify: Simplify 2 into 2 1546251821.683 * [misc]backup-simplify: Simplify (* 0 2) into 0 1546251821.683 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546251821.683 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1546251821.683 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1546251821.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.684 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.684 * [misc]backup-simplify: Simplify 0 into 0 1546251821.684 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.686 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.686 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251821.686 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251821.691 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251821.692 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251821.692 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251821.692 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.692 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251821.692 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251821.694 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1546251821.694 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.694 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.694 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.694 * [misc]backup-simplify: Simplify 2 into 2 1546251821.694 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.695 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.695 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.695 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.695 * [misc]backup-simplify: Simplify 2 into 2 1546251821.695 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.695 * [misc]backup-simplify: Simplify PI into PI 1546251821.695 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.695 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.695 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.695 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.695 * [misc]taylor: Taking taylor expansion of n in n 1546251821.695 * [misc]backup-simplify: Simplify 0 into 0 1546251821.695 * [misc]backup-simplify: Simplify 1 into 1 1546251821.695 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.695 * [misc]backup-simplify: Simplify PI into PI 1546251821.695 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.696 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.696 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.696 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.696 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1546251821.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.696 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1546251821.696 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1546251821.696 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.696 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.696 * [misc]backup-simplify: Simplify 2 into 2 1546251821.697 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.697 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.697 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.697 * [misc]taylor: Taking taylor expansion of n in n 1546251821.697 * [misc]backup-simplify: Simplify 0 into 0 1546251821.697 * [misc]backup-simplify: Simplify 1 into 1 1546251821.697 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.697 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.697 * [misc]taylor: Taking taylor expansion of n in n 1546251821.697 * [misc]backup-simplify: Simplify 0 into 0 1546251821.697 * [misc]backup-simplify: Simplify 1 into 1 1546251821.697 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.697 * [misc]backup-simplify: Simplify PI into PI 1546251821.697 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.698 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.698 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.699 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1546251821.699 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.700 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1546251821.700 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.700 * [misc]backup-simplify: Simplify 0 into 0 1546251821.701 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1546251821.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251821.705 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251821.705 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251821.710 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251821.711 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251821.712 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251821.713 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251821.718 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1546251821.718 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 1546251821.718 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1546251821.718 * [misc]taylor: Taking taylor expansion of 1/8 in n 1546251821.718 * [misc]backup-simplify: Simplify 1/8 into 1/8 1546251821.718 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1546251821.718 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1546251821.718 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.718 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.718 * [misc]backup-simplify: Simplify 2 into 2 1546251821.718 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.719 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.719 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1546251821.719 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.719 * [misc]taylor: Taking taylor expansion of n in n 1546251821.719 * [misc]backup-simplify: Simplify 0 into 0 1546251821.719 * [misc]backup-simplify: Simplify 1 into 1 1546251821.719 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.719 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.719 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.719 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.719 * [misc]taylor: Taking taylor expansion of n in n 1546251821.719 * [misc]backup-simplify: Simplify 0 into 0 1546251821.719 * [misc]backup-simplify: Simplify 1 into 1 1546251821.719 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.719 * [misc]backup-simplify: Simplify PI into PI 1546251821.720 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.720 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.720 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.721 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.721 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of 1/8 in n 1546251821.721 * [misc]backup-simplify: Simplify 1/8 into 1/8 1546251821.721 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.721 * [misc]backup-simplify: Simplify 2 into 2 1546251821.721 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.721 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.721 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.721 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.722 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.722 * [misc]backup-simplify: Simplify 2 into 2 1546251821.722 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.722 * [misc]backup-simplify: Simplify PI into PI 1546251821.722 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.722 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.722 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.722 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.722 * [misc]taylor: Taking taylor expansion of n in n 1546251821.722 * [misc]backup-simplify: Simplify 0 into 0 1546251821.722 * [misc]backup-simplify: Simplify 1 into 1 1546251821.722 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.723 * [misc]backup-simplify: Simplify PI into PI 1546251821.723 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.723 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.723 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.724 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.724 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1546251821.724 * [misc]taylor: Taking taylor expansion of 1/4 in n 1546251821.724 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546251821.724 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1546251821.724 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1546251821.724 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.724 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.724 * [misc]backup-simplify: Simplify 2 into 2 1546251821.724 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.725 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.725 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1546251821.725 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.725 * [misc]taylor: Taking taylor expansion of n in n 1546251821.725 * [misc]backup-simplify: Simplify 0 into 0 1546251821.725 * [misc]backup-simplify: Simplify 1 into 1 1546251821.725 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.725 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.725 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.725 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.725 * [misc]backup-simplify: Simplify 2 into 2 1546251821.725 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.725 * [misc]backup-simplify: Simplify PI into PI 1546251821.725 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.726 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.726 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.726 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.726 * [misc]taylor: Taking taylor expansion of n in n 1546251821.726 * [misc]backup-simplify: Simplify 0 into 0 1546251821.726 * [misc]backup-simplify: Simplify 1 into 1 1546251821.726 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.726 * [misc]backup-simplify: Simplify PI into PI 1546251821.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.727 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.728 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.728 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.728 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1546251821.728 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1546251821.728 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1546251821.728 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1546251821.730 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1546251821.731 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1546251821.732 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1546251821.732 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1546251821.732 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.732 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1546251821.733 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1546251821.733 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1546251821.733 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1546251821.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.734 * [misc]backup-simplify: Simplify 0 into 0 1546251821.734 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.737 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1546251821.738 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251821.740 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251821.741 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251821.742 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.742 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1546251821.742 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251821.743 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251821.744 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546251821.746 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546251821.747 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546251821.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1546251821.748 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1546251821.749 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546251821.749 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1546251821.752 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1546251821.752 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251821.752 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1546251821.752 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.752 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.752 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.752 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of k in n 1546251821.752 * [misc]backup-simplify: Simplify k into k 1546251821.752 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.752 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.752 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.752 * [misc]backup-simplify: Simplify 2 into 2 1546251821.752 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.752 * [misc]backup-simplify: Simplify PI into PI 1546251821.753 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.753 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.753 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.753 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.754 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251821.754 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251821.754 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.754 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.754 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.754 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of k in n 1546251821.754 * [misc]backup-simplify: Simplify k into k 1546251821.754 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.754 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251821.754 * [misc]taylor: Taking taylor expansion of n in n 1546251821.754 * [misc]backup-simplify: Simplify 0 into 0 1546251821.754 * [misc]backup-simplify: Simplify 1 into 1 1546251821.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.755 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.755 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.755 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.755 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251821.755 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.755 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.755 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.755 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.755 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of k in k 1546251821.755 * [misc]backup-simplify: Simplify 0 into 0 1546251821.755 * [misc]backup-simplify: Simplify 1 into 1 1546251821.755 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.755 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.755 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.755 * [misc]backup-simplify: Simplify 2 into 2 1546251821.755 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.756 * [misc]backup-simplify: Simplify PI into PI 1546251821.756 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.756 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.756 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.756 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.757 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251821.757 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.757 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.757 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.757 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.757 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of k in k 1546251821.757 * [misc]backup-simplify: Simplify 0 into 0 1546251821.757 * [misc]backup-simplify: Simplify 1 into 1 1546251821.757 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.757 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251821.757 * [misc]taylor: Taking taylor expansion of n in k 1546251821.758 * [misc]backup-simplify: Simplify n into n 1546251821.758 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251821.758 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251821.758 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.758 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.758 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251821.758 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251821.758 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.758 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.758 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.758 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of k in k 1546251821.758 * [misc]backup-simplify: Simplify 0 into 0 1546251821.758 * [misc]backup-simplify: Simplify 1 into 1 1546251821.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.758 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.758 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.758 * [misc]backup-simplify: Simplify 2 into 2 1546251821.758 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.758 * [misc]backup-simplify: Simplify PI into PI 1546251821.759 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.759 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.759 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.759 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.760 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251821.760 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251821.760 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251821.760 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.760 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.760 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of k in k 1546251821.760 * [misc]backup-simplify: Simplify 0 into 0 1546251821.760 * [misc]backup-simplify: Simplify 1 into 1 1546251821.760 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.760 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251821.760 * [misc]taylor: Taking taylor expansion of n in k 1546251821.760 * [misc]backup-simplify: Simplify n into n 1546251821.761 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251821.761 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251821.761 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251821.761 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.761 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251821.761 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251821.761 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251821.761 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.761 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.761 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.761 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.761 * [misc]taylor: Taking taylor expansion of k in n 1546251821.761 * [misc]backup-simplify: Simplify k into k 1546251821.762 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.762 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.762 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.762 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.762 * [misc]backup-simplify: Simplify 2 into 2 1546251821.762 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.762 * [misc]backup-simplify: Simplify PI into PI 1546251821.762 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.762 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.762 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.762 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.763 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251821.763 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251821.763 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251821.763 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251821.763 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.763 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of k in n 1546251821.763 * [misc]backup-simplify: Simplify k into k 1546251821.763 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.763 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251821.763 * [misc]taylor: Taking taylor expansion of n in n 1546251821.764 * [misc]backup-simplify: Simplify 0 into 0 1546251821.764 * [misc]backup-simplify: Simplify 1 into 1 1546251821.764 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.764 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.764 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251821.764 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251821.764 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.764 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251821.765 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251821.765 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251821.765 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251821.766 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1546251821.766 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.766 * [misc]backup-simplify: Simplify 0 into 0 1546251821.766 * [misc]backup-simplify: Simplify 0 into 0 1546251821.766 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251821.769 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251821.769 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251821.769 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251821.769 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.769 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.769 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251821.770 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.773 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251821.773 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251821.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.774 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1546251821.775 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.775 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1546251821.775 * [misc]backup-simplify: Simplify 0 into 0 1546251821.776 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1546251821.776 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.776 * [misc]backup-simplify: Simplify 0 into 0 1546251821.776 * [misc]backup-simplify: Simplify 0 into 0 1546251821.776 * [misc]backup-simplify: Simplify 0 into 0 1546251821.776 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.779 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251821.779 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.779 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251821.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251821.779 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1546251821.781 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.781 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251821.785 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251821.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.785 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251821.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.786 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1546251821.787 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.788 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1546251821.788 * [misc]backup-simplify: Simplify 0 into 0 1546251821.788 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1546251821.788 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.788 * [misc]backup-simplify: Simplify 0 into 0 1546251821.788 * [misc]backup-simplify: Simplify 0 into 0 1546251821.789 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1546251821.789 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251821.789 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1546251821.789 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.789 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.789 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.789 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.789 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.789 * [misc]backup-simplify: Simplify -1 into -1 1546251821.789 * [misc]taylor: Taking taylor expansion of k in n 1546251821.789 * [misc]backup-simplify: Simplify k into k 1546251821.789 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.789 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251821.789 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.789 * [misc]backup-simplify: Simplify -1 into -1 1546251821.789 * [misc]taylor: Taking taylor expansion of n in n 1546251821.789 * [misc]backup-simplify: Simplify 0 into 0 1546251821.789 * [misc]backup-simplify: Simplify 1 into 1 1546251821.790 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.790 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251821.790 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.790 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.790 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.790 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251821.790 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.790 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.791 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.791 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.791 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.791 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.791 * [misc]backup-simplify: Simplify -1 into -1 1546251821.791 * [misc]taylor: Taking taylor expansion of k in n 1546251821.791 * [misc]backup-simplify: Simplify k into k 1546251821.791 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.791 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.791 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.791 * [misc]backup-simplify: Simplify 2 into 2 1546251821.791 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.791 * [misc]backup-simplify: Simplify PI into PI 1546251821.791 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.791 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.791 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.792 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.792 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251821.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251821.792 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251821.792 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.792 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251821.792 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251821.792 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.792 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.792 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.792 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.792 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.793 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.793 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.793 * [misc]backup-simplify: Simplify -1 into -1 1546251821.793 * [misc]taylor: Taking taylor expansion of k in k 1546251821.793 * [misc]backup-simplify: Simplify 0 into 0 1546251821.793 * [misc]backup-simplify: Simplify 1 into 1 1546251821.793 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.793 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251821.793 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251821.793 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.793 * [misc]backup-simplify: Simplify -1 into -1 1546251821.793 * [misc]taylor: Taking taylor expansion of n in k 1546251821.793 * [misc]backup-simplify: Simplify n into n 1546251821.793 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251821.793 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251821.793 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.793 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251821.794 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251821.794 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.794 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.794 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.794 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.794 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.794 * [misc]backup-simplify: Simplify -1 into -1 1546251821.794 * [misc]taylor: Taking taylor expansion of k in k 1546251821.794 * [misc]backup-simplify: Simplify 0 into 0 1546251821.794 * [misc]backup-simplify: Simplify 1 into 1 1546251821.794 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.794 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.794 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.794 * [misc]backup-simplify: Simplify 2 into 2 1546251821.794 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.794 * [misc]backup-simplify: Simplify PI into PI 1546251821.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.795 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.795 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.795 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.795 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.796 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.796 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.796 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.796 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.796 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.796 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.796 * [misc]backup-simplify: Simplify -1 into -1 1546251821.796 * [misc]taylor: Taking taylor expansion of k in k 1546251821.796 * [misc]backup-simplify: Simplify 0 into 0 1546251821.796 * [misc]backup-simplify: Simplify 1 into 1 1546251821.796 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.796 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.796 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251821.796 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.796 * [misc]backup-simplify: Simplify -1 into -1 1546251821.796 * [misc]taylor: Taking taylor expansion of n in k 1546251821.796 * [misc]backup-simplify: Simplify n into n 1546251821.796 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251821.796 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251821.796 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.797 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.797 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251821.797 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251821.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251821.797 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.797 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.797 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.797 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of -1 in k 1546251821.797 * [misc]backup-simplify: Simplify -1 into -1 1546251821.797 * [misc]taylor: Taking taylor expansion of k in k 1546251821.797 * [misc]backup-simplify: Simplify 0 into 0 1546251821.797 * [misc]backup-simplify: Simplify 1 into 1 1546251821.797 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.797 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.797 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.797 * [misc]backup-simplify: Simplify 2 into 2 1546251821.797 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.797 * [misc]backup-simplify: Simplify PI into PI 1546251821.797 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.798 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.798 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251821.798 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251821.798 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.799 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251821.799 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251821.799 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251821.799 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251821.799 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.799 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251821.799 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251821.799 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.799 * [misc]backup-simplify: Simplify -1 into -1 1546251821.799 * [misc]taylor: Taking taylor expansion of n in n 1546251821.799 * [misc]backup-simplify: Simplify 0 into 0 1546251821.799 * [misc]backup-simplify: Simplify 1 into 1 1546251821.799 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251821.800 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251821.800 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.800 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.800 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.800 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.800 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.800 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.800 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.800 * [misc]backup-simplify: Simplify -1 into -1 1546251821.800 * [misc]taylor: Taking taylor expansion of k in n 1546251821.800 * [misc]backup-simplify: Simplify k into k 1546251821.800 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.800 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.800 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.800 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.800 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251821.801 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251821.801 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251821.801 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251821.801 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.801 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.801 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of -1 in n 1546251821.801 * [misc]backup-simplify: Simplify -1 into -1 1546251821.801 * [misc]taylor: Taking taylor expansion of k in n 1546251821.801 * [misc]backup-simplify: Simplify k into k 1546251821.801 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251821.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.801 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.801 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.801 * [misc]backup-simplify: Simplify 2 into 2 1546251821.801 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.801 * [misc]backup-simplify: Simplify PI into PI 1546251821.801 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.802 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.802 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251821.802 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251821.802 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251821.802 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251821.803 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251821.803 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251821.804 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1546251821.804 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.804 * [misc]backup-simplify: Simplify 0 into 0 1546251821.804 * [misc]backup-simplify: Simplify 0 into 0 1546251821.804 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.807 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.807 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251821.807 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251821.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.808 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1546251821.810 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.810 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251821.810 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251821.811 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.811 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251821.814 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251821.815 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546251821.816 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251821.817 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546251821.817 * [misc]backup-simplify: Simplify 0 into 0 1546251821.817 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1546251821.817 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.817 * [misc]backup-simplify: Simplify 0 into 0 1546251821.817 * [misc]backup-simplify: Simplify 0 into 0 1546251821.817 * [misc]backup-simplify: Simplify 0 into 0 1546251821.818 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251821.823 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251821.823 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.823 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1546251821.824 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.825 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1546251821.827 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251821.828 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251821.828 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1546251821.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.828 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.832 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1546251821.833 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546251821.835 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251821.835 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1546251821.835 * [misc]backup-simplify: Simplify 0 into 0 1546251821.836 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1546251821.836 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.836 * [misc]backup-simplify: Simplify 0 into 0 1546251821.836 * [misc]backup-simplify: Simplify 0 into 0 1546251821.837 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1546251821.837 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546251821.838 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251821.838 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1546251821.838 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of k in n 1546251821.838 * [misc]backup-simplify: Simplify k into k 1546251821.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251821.838 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546251821.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251821.838 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546251821.838 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.838 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.838 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.838 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.838 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.838 * [misc]taylor: Taking taylor expansion of k in n 1546251821.838 * [misc]backup-simplify: Simplify k into k 1546251821.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.838 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.839 * [misc]taylor: Taking taylor expansion of n in n 1546251821.839 * [misc]backup-simplify: Simplify 0 into 0 1546251821.839 * [misc]backup-simplify: Simplify 1 into 1 1546251821.839 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.839 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.839 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.839 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.839 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251821.839 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251821.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1546251821.839 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1546251821.839 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1546251821.839 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251821.839 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.840 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251821.840 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251821.840 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.840 * [misc]taylor: Taking taylor expansion of k in n 1546251821.840 * [misc]backup-simplify: Simplify k into k 1546251821.840 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251821.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.840 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.840 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.840 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.840 * [misc]backup-simplify: Simplify 2 into 2 1546251821.840 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.840 * [misc]backup-simplify: Simplify PI into PI 1546251821.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.841 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.841 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251821.841 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251821.841 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1546251821.842 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1546251821.842 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1546251821.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251821.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.842 * [misc]taylor: Taking taylor expansion of k in k 1546251821.842 * [misc]backup-simplify: Simplify 0 into 0 1546251821.842 * [misc]backup-simplify: Simplify 1 into 1 1546251821.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.843 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251821.843 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.843 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.843 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.843 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.843 * [misc]taylor: Taking taylor expansion of k in k 1546251821.843 * [misc]backup-simplify: Simplify 0 into 0 1546251821.843 * [misc]backup-simplify: Simplify 1 into 1 1546251821.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.843 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.843 * [misc]taylor: Taking taylor expansion of n in k 1546251821.843 * [misc]backup-simplify: Simplify n into n 1546251821.843 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.843 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.843 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.843 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.844 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.844 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.844 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.844 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.844 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.844 * [misc]taylor: Taking taylor expansion of k in k 1546251821.844 * [misc]backup-simplify: Simplify 0 into 0 1546251821.844 * [misc]backup-simplify: Simplify 1 into 1 1546251821.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.844 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.844 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.844 * [misc]backup-simplify: Simplify 2 into 2 1546251821.844 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.844 * [misc]backup-simplify: Simplify PI into PI 1546251821.844 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.844 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.845 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.845 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.845 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.846 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.846 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1546251821.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251821.846 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251821.846 * [misc]taylor: Taking taylor expansion of k in k 1546251821.846 * [misc]backup-simplify: Simplify 0 into 0 1546251821.846 * [misc]backup-simplify: Simplify 1 into 1 1546251821.846 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251821.846 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.846 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251821.846 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251821.846 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251821.846 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.847 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.847 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.847 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.847 * [misc]taylor: Taking taylor expansion of k in k 1546251821.847 * [misc]backup-simplify: Simplify 0 into 0 1546251821.847 * [misc]backup-simplify: Simplify 1 into 1 1546251821.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.847 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of n in k 1546251821.847 * [misc]backup-simplify: Simplify n into n 1546251821.847 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251821.847 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.847 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.847 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251821.847 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251821.847 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251821.847 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251821.847 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251821.847 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251821.847 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251821.847 * [misc]taylor: Taking taylor expansion of k in k 1546251821.847 * [misc]backup-simplify: Simplify 0 into 0 1546251821.847 * [misc]backup-simplify: Simplify 1 into 1 1546251821.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251821.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251821.848 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251821.848 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251821.848 * [misc]taylor: Taking taylor expansion of 2 in k 1546251821.848 * [misc]backup-simplify: Simplify 2 into 2 1546251821.848 * [misc]taylor: Taking taylor expansion of PI in k 1546251821.848 * [misc]backup-simplify: Simplify PI into PI 1546251821.848 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.848 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.848 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251821.848 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251821.849 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251821.850 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251821.850 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1546251821.850 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1546251821.850 * [misc]taylor: Taking taylor expansion of 0 in n 1546251821.850 * [misc]backup-simplify: Simplify 0 into 0 1546251821.850 * [misc]backup-simplify: Simplify 0 into 0 1546251821.851 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.853 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.853 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251821.853 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.854 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251821.856 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251821.857 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251821.857 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251821.857 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251821.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251821.858 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251821.859 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1546251821.860 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546251821.860 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.861 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.861 * [misc]backup-simplify: Simplify 2 into 2 1546251821.861 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.861 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.861 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.861 * [misc]taylor: Taking taylor expansion of n in n 1546251821.861 * [misc]backup-simplify: Simplify 0 into 0 1546251821.861 * [misc]backup-simplify: Simplify 1 into 1 1546251821.861 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.861 * [misc]backup-simplify: Simplify PI into PI 1546251821.861 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.862 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.862 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.862 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251821.862 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.862 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.862 * [misc]backup-simplify: Simplify 0 into 0 1546251821.862 * [misc]backup-simplify: Simplify 0 into 0 1546251821.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251821.866 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251821.866 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251821.871 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251821.872 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251821.872 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251821.872 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.872 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251821.873 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251821.876 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1546251821.876 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251821.877 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251821.880 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1546251821.880 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.880 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.880 * [misc]backup-simplify: Simplify 2 into 2 1546251821.880 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.880 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.880 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of n in n 1546251821.880 * [misc]backup-simplify: Simplify 0 into 0 1546251821.880 * [misc]backup-simplify: Simplify 1 into 1 1546251821.880 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.880 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.880 * [misc]taylor: Taking taylor expansion of n in n 1546251821.880 * [misc]backup-simplify: Simplify 0 into 0 1546251821.880 * [misc]backup-simplify: Simplify 1 into 1 1546251821.880 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.880 * [misc]backup-simplify: Simplify PI into PI 1546251821.881 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.881 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.881 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.881 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546251821.881 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546251821.881 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1546251821.881 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.881 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.881 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.882 * [misc]backup-simplify: Simplify 2 into 2 1546251821.882 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.882 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.882 * [misc]backup-simplify: Simplify 2 into 2 1546251821.882 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.882 * [misc]backup-simplify: Simplify PI into PI 1546251821.882 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.882 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.882 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.882 * [misc]taylor: Taking taylor expansion of n in n 1546251821.882 * [misc]backup-simplify: Simplify 0 into 0 1546251821.882 * [misc]backup-simplify: Simplify 1 into 1 1546251821.882 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.883 * [misc]backup-simplify: Simplify PI into PI 1546251821.883 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.883 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.883 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.884 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.884 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.884 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.884 * [misc]backup-simplify: Simplify 2 into 2 1546251821.884 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.884 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.884 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.884 * [misc]taylor: Taking taylor expansion of n in n 1546251821.884 * [misc]backup-simplify: Simplify 0 into 0 1546251821.884 * [misc]backup-simplify: Simplify 1 into 1 1546251821.884 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.884 * [misc]backup-simplify: Simplify PI into PI 1546251821.884 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.885 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.885 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1546251821.885 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1546251821.886 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.886 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1546251821.887 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.887 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.888 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.888 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.888 * [misc]backup-simplify: Simplify 0 into 0 1546251821.888 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.890 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.890 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.891 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.891 * [misc]backup-simplify: Simplify 0 into 0 1546251821.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251821.897 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251821.897 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546251821.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1546251821.904 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1546251821.906 * [misc]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 1546251821.906 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546251821.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1546251821.907 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1546251821.912 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1546251821.912 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251821.913 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251821.923 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1546251821.923 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.923 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.924 * [misc]backup-simplify: Simplify 2 into 2 1546251821.924 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.924 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1546251821.924 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.924 * [misc]taylor: Taking taylor expansion of n in n 1546251821.924 * [misc]backup-simplify: Simplify 0 into 0 1546251821.924 * [misc]backup-simplify: Simplify 1 into 1 1546251821.924 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.924 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.924 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.924 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.924 * [misc]taylor: Taking taylor expansion of n in n 1546251821.924 * [misc]backup-simplify: Simplify 0 into 0 1546251821.924 * [misc]backup-simplify: Simplify 1 into 1 1546251821.924 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.924 * [misc]backup-simplify: Simplify PI into PI 1546251821.925 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.925 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.925 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.925 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.925 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1546251821.925 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1546251821.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1546251821.925 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.925 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.926 * [misc]backup-simplify: Simplify 2 into 2 1546251821.926 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.926 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.926 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of n in n 1546251821.926 * [misc]backup-simplify: Simplify 0 into 0 1546251821.926 * [misc]backup-simplify: Simplify 1 into 1 1546251821.926 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.926 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.926 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.926 * [misc]backup-simplify: Simplify 2 into 2 1546251821.926 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.926 * [misc]backup-simplify: Simplify PI into PI 1546251821.926 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.927 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.927 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.927 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.927 * [misc]taylor: Taking taylor expansion of n in n 1546251821.927 * [misc]backup-simplify: Simplify 0 into 0 1546251821.927 * [misc]backup-simplify: Simplify 1 into 1 1546251821.927 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.927 * [misc]backup-simplify: Simplify PI into PI 1546251821.927 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.928 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.928 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.928 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.928 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.928 * [misc]backup-simplify: Simplify 2 into 2 1546251821.928 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.928 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251821.928 * [misc]taylor: Taking taylor expansion of n in n 1546251821.928 * [misc]backup-simplify: Simplify 0 into 0 1546251821.928 * [misc]backup-simplify: Simplify 1 into 1 1546251821.928 * [misc]backup-simplify: Simplify (log 1) into 0 1546251821.928 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.929 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.929 * [misc]taylor: Taking taylor expansion of n in n 1546251821.929 * [misc]backup-simplify: Simplify 0 into 0 1546251821.929 * [misc]backup-simplify: Simplify 1 into 1 1546251821.930 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.930 * [misc]backup-simplify: Simplify PI into PI 1546251821.930 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.930 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.931 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.931 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.931 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.931 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.931 * [misc]backup-simplify: Simplify 2 into 2 1546251821.931 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.931 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.931 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.931 * [misc]taylor: Taking taylor expansion of n in n 1546251821.931 * [misc]backup-simplify: Simplify 0 into 0 1546251821.931 * [misc]backup-simplify: Simplify 1 into 1 1546251821.931 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.931 * [misc]backup-simplify: Simplify PI into PI 1546251821.932 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.932 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.932 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.932 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.932 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.933 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.933 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.933 * [misc]backup-simplify: Simplify 2 into 2 1546251821.933 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.933 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.933 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.933 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.933 * [misc]backup-simplify: Simplify 2 into 2 1546251821.933 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.933 * [misc]backup-simplify: Simplify PI into PI 1546251821.933 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.934 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.934 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.934 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.934 * [misc]taylor: Taking taylor expansion of n in n 1546251821.934 * [misc]backup-simplify: Simplify 0 into 0 1546251821.934 * [misc]backup-simplify: Simplify 1 into 1 1546251821.934 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.934 * [misc]backup-simplify: Simplify PI into PI 1546251821.934 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.935 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.935 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251821.935 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251821.935 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.935 * [misc]backup-simplify: Simplify 2 into 2 1546251821.935 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251821.935 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251821.935 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251821.935 * [misc]taylor: Taking taylor expansion of 2 in n 1546251821.935 * [misc]backup-simplify: Simplify 2 into 2 1546251821.935 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.935 * [misc]backup-simplify: Simplify PI into PI 1546251821.935 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251821.936 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251821.936 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251821.936 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251821.936 * [misc]taylor: Taking taylor expansion of n in n 1546251821.936 * [misc]backup-simplify: Simplify 0 into 0 1546251821.936 * [misc]backup-simplify: Simplify 1 into 1 1546251821.936 * [misc]taylor: Taking taylor expansion of PI in n 1546251821.936 * [misc]backup-simplify: Simplify PI into PI 1546251821.936 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251821.936 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251821.937 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251821.937 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251821.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.937 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1546251821.937 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1546251821.938 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1546251821.938 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.938 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.938 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1546251821.939 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1546251821.939 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1546251821.939 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.940 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.940 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1546251821.940 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1546251821.940 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.940 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251821.940 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.941 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1546251821.941 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1546251821.942 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.942 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1546251821.943 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1546251821.944 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1546251821.944 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251821.944 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify (- 0) into 0 1546251821.945 * [misc]backup-simplify: Simplify 0 into 0 1546251821.947 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251821.947 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251821.948 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1546251821.948 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251821.949 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251821.950 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251821.952 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251821.954 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1546251821.956 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251821.960 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251821.961 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.963 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.964 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251821.968 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546251821.972 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1546251821.976 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1546251821.979 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546251821.983 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546251821.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251821.986 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546251821.987 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546251821.989 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251821.994 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251821.995 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251821.997 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251822.003 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546251822.004 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1546251822.004 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1546251822.004 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.004 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.004 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.004 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.004 * [misc]taylor: Taking taylor expansion of k in n 1546251822.005 * [misc]backup-simplify: Simplify k into k 1546251822.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.005 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.005 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.005 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.005 * [misc]backup-simplify: Simplify 2 into 2 1546251822.005 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.005 * [misc]backup-simplify: Simplify PI into PI 1546251822.005 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.006 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.006 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.006 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.006 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251822.007 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251822.007 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.007 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.007 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.007 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of k in n 1546251822.007 * [misc]backup-simplify: Simplify k into k 1546251822.007 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.007 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251822.007 * [misc]taylor: Taking taylor expansion of n in n 1546251822.008 * [misc]backup-simplify: Simplify 0 into 0 1546251822.008 * [misc]backup-simplify: Simplify 1 into 1 1546251822.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.008 * [misc]backup-simplify: Simplify (log 1) into 0 1546251822.008 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.008 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251822.008 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251822.009 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251822.009 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546251822.009 * [misc]taylor: Taking taylor expansion of k in n 1546251822.009 * [misc]backup-simplify: Simplify k into k 1546251822.009 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546251822.009 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546251822.009 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251822.009 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.009 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.009 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251822.009 * [misc]taylor: Taking taylor expansion of k in k 1546251822.009 * [misc]backup-simplify: Simplify 0 into 0 1546251822.009 * [misc]backup-simplify: Simplify 1 into 1 1546251822.010 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.010 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251822.010 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251822.010 * [misc]taylor: Taking taylor expansion of 2 in k 1546251822.010 * [misc]backup-simplify: Simplify 2 into 2 1546251822.010 * [misc]taylor: Taking taylor expansion of PI in k 1546251822.010 * [misc]backup-simplify: Simplify PI into PI 1546251822.010 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.011 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.011 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251822.011 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251822.012 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251822.013 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251822.013 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251822.013 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.013 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.013 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of k in k 1546251822.013 * [misc]backup-simplify: Simplify 0 into 0 1546251822.013 * [misc]backup-simplify: Simplify 1 into 1 1546251822.013 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.013 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.013 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251822.013 * [misc]taylor: Taking taylor expansion of n in k 1546251822.013 * [misc]backup-simplify: Simplify n into n 1546251822.013 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251822.013 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251822.014 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251822.014 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251822.014 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251822.014 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251822.014 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251822.014 * [misc]taylor: Taking taylor expansion of k in k 1546251822.014 * [misc]backup-simplify: Simplify 0 into 0 1546251822.014 * [misc]backup-simplify: Simplify 1 into 1 1546251822.014 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251822.015 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251822.015 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251822.015 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.015 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.015 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251822.015 * [misc]taylor: Taking taylor expansion of k in k 1546251822.015 * [misc]backup-simplify: Simplify 0 into 0 1546251822.015 * [misc]backup-simplify: Simplify 1 into 1 1546251822.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.015 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251822.016 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251822.016 * [misc]taylor: Taking taylor expansion of 2 in k 1546251822.016 * [misc]backup-simplify: Simplify 2 into 2 1546251822.016 * [misc]taylor: Taking taylor expansion of PI in k 1546251822.016 * [misc]backup-simplify: Simplify PI into PI 1546251822.016 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.016 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.017 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251822.017 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251822.017 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251822.018 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251822.018 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251822.018 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251822.018 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251822.018 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251822.018 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.018 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251822.018 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.018 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251822.018 * [misc]taylor: Taking taylor expansion of k in k 1546251822.018 * [misc]backup-simplify: Simplify 0 into 0 1546251822.018 * [misc]backup-simplify: Simplify 1 into 1 1546251822.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.019 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251822.019 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251822.019 * [misc]taylor: Taking taylor expansion of n in k 1546251822.019 * [misc]backup-simplify: Simplify n into n 1546251822.019 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251822.019 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251822.019 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251822.019 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251822.019 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251822.019 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251822.019 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251822.020 * [misc]taylor: Taking taylor expansion of k in k 1546251822.020 * [misc]backup-simplify: Simplify 0 into 0 1546251822.020 * [misc]backup-simplify: Simplify 1 into 1 1546251822.020 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251822.020 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251822.021 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251822.021 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1546251822.021 * [misc]taylor: Taking taylor expansion of 0 in n 1546251822.021 * [misc]backup-simplify: Simplify 0 into 0 1546251822.021 * [misc]backup-simplify: Simplify 0 into 0 1546251822.022 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1546251822.022 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251822.022 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.023 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.023 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.023 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.023 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.023 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of k in n 1546251822.023 * [misc]backup-simplify: Simplify k into k 1546251822.023 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.023 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.023 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.023 * [misc]backup-simplify: Simplify 2 into 2 1546251822.023 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.023 * [misc]backup-simplify: Simplify PI into PI 1546251822.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.024 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.024 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.024 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.025 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251822.025 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251822.026 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.026 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.026 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.026 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.026 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of k in n 1546251822.026 * [misc]backup-simplify: Simplify k into k 1546251822.026 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.026 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.026 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251822.026 * [misc]taylor: Taking taylor expansion of n in n 1546251822.026 * [misc]backup-simplify: Simplify 0 into 0 1546251822.026 * [misc]backup-simplify: Simplify 1 into 1 1546251822.026 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.027 * [misc]backup-simplify: Simplify (log 1) into 0 1546251822.027 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.027 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.027 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251822.027 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251822.027 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251822.028 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251822.028 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251822.029 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.030 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.030 * [misc]backup-simplify: Simplify 0 into 0 1546251822.031 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251822.031 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1546251822.032 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251822.032 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251822.032 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251822.032 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.032 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.032 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251822.032 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.032 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.033 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.033 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.033 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of k in n 1546251822.033 * [misc]backup-simplify: Simplify k into k 1546251822.033 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.033 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.033 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.033 * [misc]backup-simplify: Simplify 2 into 2 1546251822.033 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.033 * [misc]backup-simplify: Simplify PI into PI 1546251822.033 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.034 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.034 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.034 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.035 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251822.035 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251822.035 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.035 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251822.035 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251822.035 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.035 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.035 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.035 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.036 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.036 * [misc]taylor: Taking taylor expansion of k in n 1546251822.036 * [misc]backup-simplify: Simplify k into k 1546251822.036 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.036 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251822.036 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251822.036 * [misc]taylor: Taking taylor expansion of n in n 1546251822.036 * [misc]backup-simplify: Simplify 0 into 0 1546251822.036 * [misc]backup-simplify: Simplify 1 into 1 1546251822.036 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.036 * [misc]backup-simplify: Simplify (log 1) into 0 1546251822.036 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.036 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251822.037 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251822.037 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251822.037 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251822.038 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251822.039 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.039 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.040 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251822.042 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251822.042 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251822.042 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251822.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251822.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251822.043 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251822.044 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251822.045 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251822.048 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251822.049 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251822.049 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251822.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251822.050 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1546251822.052 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251822.053 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1546251822.054 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1546251822.054 * [misc]backup-simplify: Simplify (- 0) into 0 1546251822.054 * [misc]backup-simplify: Simplify 0 into 0 1546251822.054 * [misc]backup-simplify: Simplify 0 into 0 1546251822.056 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251822.057 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1546251822.057 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251822.058 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.058 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.058 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.058 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.058 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of k in n 1546251822.058 * [misc]backup-simplify: Simplify k into k 1546251822.058 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.058 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.058 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.059 * [misc]backup-simplify: Simplify 2 into 2 1546251822.059 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.059 * [misc]backup-simplify: Simplify PI into PI 1546251822.059 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.061 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.061 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.061 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.062 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251822.062 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251822.062 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251822.062 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251822.062 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251822.062 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251822.063 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251822.063 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251822.063 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.063 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251822.063 * [misc]taylor: Taking taylor expansion of k in n 1546251822.063 * [misc]backup-simplify: Simplify k into k 1546251822.063 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251822.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.063 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251822.063 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251822.063 * [misc]taylor: Taking taylor expansion of n in n 1546251822.063 * [misc]backup-simplify: Simplify 0 into 0 1546251822.063 * [misc]backup-simplify: Simplify 1 into 1 1546251822.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251822.063 * [misc]backup-simplify: Simplify (log 1) into 0 1546251822.063 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251822.064 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251822.064 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251822.064 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251822.064 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251822.065 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251822.065 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251822.066 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.067 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251822.069 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1546251822.070 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1546251822.070 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1546251822.070 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1546251822.070 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.070 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.070 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251822.070 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251822.070 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.071 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.071 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.071 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.071 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.071 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.071 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.071 * [misc]backup-simplify: Simplify -1 into -1 1546251822.071 * [misc]taylor: Taking taylor expansion of k in n 1546251822.071 * [misc]backup-simplify: Simplify k into k 1546251822.071 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.071 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251822.071 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251822.071 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.071 * [misc]backup-simplify: Simplify -1 into -1 1546251822.071 * [misc]taylor: Taking taylor expansion of n in n 1546251822.071 * [misc]backup-simplify: Simplify 0 into 0 1546251822.071 * [misc]backup-simplify: Simplify 1 into 1 1546251822.071 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.072 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251822.072 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.072 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.072 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251822.073 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251822.073 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251822.073 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.073 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251822.073 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251822.073 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.073 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.073 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.073 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.073 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.073 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.073 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.073 * [misc]backup-simplify: Simplify -1 into -1 1546251822.073 * [misc]taylor: Taking taylor expansion of k in n 1546251822.073 * [misc]backup-simplify: Simplify k into k 1546251822.074 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.074 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.074 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.074 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.074 * [misc]backup-simplify: Simplify 2 into 2 1546251822.074 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.074 * [misc]backup-simplify: Simplify PI into PI 1546251822.074 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.075 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.075 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.075 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251822.076 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251822.076 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546251822.076 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.076 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.076 * [misc]backup-simplify: Simplify -1 into -1 1546251822.076 * [misc]taylor: Taking taylor expansion of k in n 1546251822.076 * [misc]backup-simplify: Simplify k into k 1546251822.076 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.076 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546251822.076 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251822.077 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546251822.077 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251822.078 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1546251822.078 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251822.078 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.078 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251822.078 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.079 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.079 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.079 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.079 * [misc]backup-simplify: Simplify -1 into -1 1546251822.079 * [misc]taylor: Taking taylor expansion of k in k 1546251822.079 * [misc]backup-simplify: Simplify 0 into 0 1546251822.079 * [misc]backup-simplify: Simplify 1 into 1 1546251822.079 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.079 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251822.079 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251822.079 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.079 * [misc]backup-simplify: Simplify -1 into -1 1546251822.079 * [misc]taylor: Taking taylor expansion of n in k 1546251822.079 * [misc]backup-simplify: Simplify n into n 1546251822.079 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251822.079 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251822.079 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251822.080 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251822.080 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251822.080 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251822.080 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251822.080 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251822.080 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251822.080 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251822.080 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.080 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251822.080 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.080 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.080 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.080 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.080 * [misc]backup-simplify: Simplify -1 into -1 1546251822.080 * [misc]taylor: Taking taylor expansion of k in k 1546251822.080 * [misc]backup-simplify: Simplify 0 into 0 1546251822.080 * [misc]backup-simplify: Simplify 1 into 1 1546251822.081 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.081 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251822.081 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251822.081 * [misc]taylor: Taking taylor expansion of 2 in k 1546251822.081 * [misc]backup-simplify: Simplify 2 into 2 1546251822.081 * [misc]taylor: Taking taylor expansion of PI in k 1546251822.081 * [misc]backup-simplify: Simplify PI into PI 1546251822.081 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.082 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.082 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251822.082 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251822.083 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251822.083 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251822.083 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251822.083 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.083 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.083 * [misc]backup-simplify: Simplify -1 into -1 1546251822.083 * [misc]taylor: Taking taylor expansion of k in k 1546251822.083 * [misc]backup-simplify: Simplify 0 into 0 1546251822.083 * [misc]backup-simplify: Simplify 1 into 1 1546251822.084 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.084 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251822.084 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251822.085 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251822.085 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251822.085 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251822.085 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.085 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.085 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.085 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.085 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.085 * [misc]backup-simplify: Simplify -1 into -1 1546251822.085 * [misc]taylor: Taking taylor expansion of k in k 1546251822.086 * [misc]backup-simplify: Simplify 0 into 0 1546251822.086 * [misc]backup-simplify: Simplify 1 into 1 1546251822.086 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.086 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251822.086 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251822.086 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.086 * [misc]backup-simplify: Simplify -1 into -1 1546251822.086 * [misc]taylor: Taking taylor expansion of n in k 1546251822.086 * [misc]backup-simplify: Simplify n into n 1546251822.086 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251822.086 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251822.086 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251822.086 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251822.086 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251822.087 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251822.087 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251822.087 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.087 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251822.087 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.087 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.087 * [misc]backup-simplify: Simplify -1 into -1 1546251822.087 * [misc]taylor: Taking taylor expansion of k in k 1546251822.087 * [misc]backup-simplify: Simplify 0 into 0 1546251822.087 * [misc]backup-simplify: Simplify 1 into 1 1546251822.087 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251822.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.087 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251822.087 * [misc]taylor: Taking taylor expansion of 2 in k 1546251822.087 * [misc]backup-simplify: Simplify 2 into 2 1546251822.087 * [misc]taylor: Taking taylor expansion of PI in k 1546251822.087 * [misc]backup-simplify: Simplify PI into PI 1546251822.088 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.088 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.088 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251822.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251822.089 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251822.089 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251822.089 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251822.089 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251822.090 * [misc]taylor: Taking taylor expansion of -1 in k 1546251822.090 * [misc]backup-simplify: Simplify -1 into -1 1546251822.090 * [misc]taylor: Taking taylor expansion of k in k 1546251822.090 * [misc]backup-simplify: Simplify 0 into 0 1546251822.090 * [misc]backup-simplify: Simplify 1 into 1 1546251822.090 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.090 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251822.090 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251822.091 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251822.091 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251822.091 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251822.091 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.092 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.092 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.092 * [misc]backup-simplify: Simplify -1 into -1 1546251822.092 * [misc]taylor: Taking taylor expansion of n in n 1546251822.092 * [misc]backup-simplify: Simplify 0 into 0 1546251822.092 * [misc]backup-simplify: Simplify 1 into 1 1546251822.092 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.092 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251822.092 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.092 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.092 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.092 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.092 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.092 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.092 * [misc]backup-simplify: Simplify -1 into -1 1546251822.092 * [misc]taylor: Taking taylor expansion of k in n 1546251822.093 * [misc]backup-simplify: Simplify k into k 1546251822.093 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.093 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251822.093 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.093 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.093 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251822.094 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251822.094 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.094 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.094 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.094 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.094 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.094 * [misc]backup-simplify: Simplify -1 into -1 1546251822.094 * [misc]taylor: Taking taylor expansion of k in n 1546251822.094 * [misc]backup-simplify: Simplify k into k 1546251822.094 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.094 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.094 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.094 * [misc]backup-simplify: Simplify 2 into 2 1546251822.094 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.094 * [misc]backup-simplify: Simplify PI into PI 1546251822.095 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.095 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.095 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.095 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.096 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251822.097 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251822.098 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251822.099 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251822.099 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251822.100 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1546251822.100 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251822.101 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251822.102 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1546251822.102 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.102 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.102 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251822.102 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.102 * [misc]backup-simplify: Simplify -1 into -1 1546251822.102 * [misc]taylor: Taking taylor expansion of n in n 1546251822.102 * [misc]backup-simplify: Simplify 0 into 0 1546251822.102 * [misc]backup-simplify: Simplify 1 into 1 1546251822.102 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.103 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251822.103 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.103 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.103 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.103 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.103 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.103 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.103 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.103 * [misc]backup-simplify: Simplify -1 into -1 1546251822.103 * [misc]taylor: Taking taylor expansion of k in n 1546251822.103 * [misc]backup-simplify: Simplify k into k 1546251822.103 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.103 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251822.103 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.104 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.104 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251822.104 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251822.104 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.104 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251822.104 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251822.104 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.104 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.104 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.104 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.104 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.104 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.104 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.104 * [misc]backup-simplify: Simplify -1 into -1 1546251822.104 * [misc]taylor: Taking taylor expansion of k in n 1546251822.105 * [misc]backup-simplify: Simplify k into k 1546251822.105 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.105 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.105 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.105 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.105 * [misc]backup-simplify: Simplify 2 into 2 1546251822.105 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.105 * [misc]backup-simplify: Simplify PI into PI 1546251822.105 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.105 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.106 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.106 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.106 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251822.107 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251822.107 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251822.108 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251822.109 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251822.109 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251822.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251822.113 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251822.113 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251822.113 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251822.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251822.114 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1546251822.115 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251822.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251822.116 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251822.116 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251822.116 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251822.116 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251822.119 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251822.119 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546251822.120 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251822.121 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546251822.121 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1546251822.121 * [misc]backup-simplify: Simplify 0 into 0 1546251822.122 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1546251822.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251822.123 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251822.124 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1546251822.124 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251822.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251822.124 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.124 * [misc]backup-simplify: Simplify -1 into -1 1546251822.124 * [misc]taylor: Taking taylor expansion of n in n 1546251822.124 * [misc]backup-simplify: Simplify 0 into 0 1546251822.124 * [misc]backup-simplify: Simplify 1 into 1 1546251822.124 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251822.124 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251822.124 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.124 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.124 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.124 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.124 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.124 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.124 * [misc]backup-simplify: Simplify -1 into -1 1546251822.124 * [misc]taylor: Taking taylor expansion of k in n 1546251822.124 * [misc]backup-simplify: Simplify k into k 1546251822.124 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251822.125 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.125 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.125 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251822.125 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251822.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251822.125 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251822.125 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251822.125 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251822.125 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251822.125 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251822.125 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251822.125 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251822.125 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251822.125 * [misc]taylor: Taking taylor expansion of -1 in n 1546251822.126 * [misc]backup-simplify: Simplify -1 into -1 1546251822.126 * [misc]taylor: Taking taylor expansion of k in n 1546251822.126 * [misc]backup-simplify: Simplify k into k 1546251822.126 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251822.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251822.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251822.126 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251822.126 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251822.126 * [misc]taylor: Taking taylor expansion of 2 in n 1546251822.126 * [misc]backup-simplify: Simplify 2 into 2 1546251822.126 * [misc]taylor: Taking taylor expansion of PI in n 1546251822.126 * [misc]backup-simplify: Simplify PI into PI 1546251822.126 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251822.126 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251822.126 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251822.126 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251822.127 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251822.127 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251822.128 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251822.128 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251822.128 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251822.129 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251822.131 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1546251822.131 * * * [misc]progress: simplifying candidates 1546251822.131 * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # 1546251822.131 * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # 1546251822.131 * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # 1546251822.131 * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # 1546251822.131 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251822.131 * * [misc]simplify: iters left: 2 (5 enodes) 1546251822.132 * * [misc]simplify: iters left: 1 (7 enodes) 1546251822.133 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251822.133 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (sqrt k))) 1546251822.133 * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # 1546251822.133 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251822.133 * * [misc]simplify: iters left: 2 (5 enodes) 1546251822.134 * * [misc]simplify: iters left: 1 (7 enodes) 1546251822.135 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251822.135 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (sqrt k))) 1546251822.135 * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # 1546251822.135 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251822.135 * * [misc]simplify: iters left: 1 (4 enodes) 1546251822.136 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251822.136 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2))) (sqrt k))) 1546251822.136 * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # 1546251822.136 * [enter]simplify: Simplifying (pow n 1/2) 1546251822.136 * * [misc]simplify: iters left: 1 (3 enodes) 1546251822.137 * [exit]simplify: Simplified to (sqrt n) 1546251822.137 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n))) (sqrt k))) 1546251822.137 * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # 1546251822.137 * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # 1546251822.137 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251822.137 * * [misc]simplify: iters left: 5 (9 enodes) 1546251822.139 * * [misc]simplify: iters left: 4 (16 enodes) 1546251822.142 * * [misc]simplify: iters left: 3 (31 enodes) 1546251822.149 * * [misc]simplify: iters left: 2 (72 enodes) 1546251822.189 * * [misc]simplify: iters left: 1 (184 enodes) 1546251822.264 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251822.264 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.264 * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # 1546251822.265 * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # 1546251822.265 * [enter]simplify: Simplifying (* 2 PI) 1546251822.265 * * [misc]simplify: iters left: 2 (3 enodes) 1546251822.265 * * [misc]simplify: iters left: 1 (4 enodes) 1546251822.266 * [exit]simplify: Simplified to (* 2 PI) 1546251822.266 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.266 * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # 1546251822.266 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251822.266 * * [misc]simplify: iters left: 2 (5 enodes) 1546251822.267 * * [misc]simplify: iters left: 1 (7 enodes) 1546251822.269 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251822.269 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.269 * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # 1546251822.269 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251822.269 * * [misc]simplify: iters left: 2 (5 enodes) 1546251822.271 * * [misc]simplify: iters left: 1 (7 enodes) 1546251822.273 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251822.273 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.273 * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # 1546251822.274 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251822.274 * * [misc]simplify: iters left: 1 (4 enodes) 1546251822.275 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251822.275 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.275 * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # 1546251822.275 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1546251822.275 * * [misc]simplify: iters left: 3 (5 enodes) 1546251822.277 * * [misc]simplify: iters left: 2 (7 enodes) 1546251822.279 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1546251822.279 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.279 * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # 1546251822.279 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251822.279 * * [misc]simplify: iters left: 2 (6 enodes) 1546251822.281 * * [misc]simplify: iters left: 1 (8 enodes) 1546251822.283 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251822.283 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251822.283 * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # 1546251822.284 * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # 1546251822.284 * [enter]simplify: Simplifying (* (* 2 PI) n) 1546251822.284 * * [misc]simplify: iters left: 4 (5 enodes) 1546251822.286 * * [misc]simplify: iters left: 3 (9 enodes) 1546251822.289 * * [misc]simplify: iters left: 2 (15 enodes) 1546251822.293 * * [misc]simplify: iters left: 1 (17 enodes) 1546251822.297 * [exit]simplify: Simplified to (* (* 2 PI) n) 1546251822.297 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1546251822.298 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251822.298 * * [misc]simplify: iters left: 1 (4 enodes) 1546251822.299 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251822.299 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1546251822.299 * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # 1546251822.299 * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # 1546251822.299 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1546251822.300 * * [misc]simplify: iters left: 6 (13 enodes) 1546251822.304 * * [misc]simplify: iters left: 5 (25 enodes) 1546251822.308 * * [misc]simplify: iters left: 4 (54 enodes) 1546251822.323 * * [misc]simplify: iters left: 3 (149 enodes) 1546251822.387 * * [misc]simplify: iters left: 2 (457 enodes) 1546251822.708 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1546251822.708 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1546251822.708 * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # 1546251822.708 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1546251822.709 * * [misc]simplify: iters left: 6 (13 enodes) 1546251822.711 * * [misc]simplify: iters left: 5 (24 enodes) 1546251822.715 * * [misc]simplify: iters left: 4 (46 enodes) 1546251822.725 * * [misc]simplify: iters left: 3 (121 enodes) 1546251822.806 * * [misc]simplify: iters left: 2 (419 enodes) 1546251823.076 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1546251823.076 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1546251823.076 * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # 1546251823.076 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1546251823.076 * * [misc]simplify: iters left: 6 (13 enodes) 1546251823.079 * * [misc]simplify: iters left: 5 (25 enodes) 1546251823.087 * * [misc]simplify: iters left: 4 (54 enodes) 1546251823.107 * * [misc]simplify: iters left: 3 (149 enodes) 1546251823.156 * * [misc]simplify: iters left: 2 (457 enodes) 1546251823.422 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1546251823.422 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1546251823.422 * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # 1546251823.423 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1546251823.423 * * [misc]simplify: iters left: 6 (13 enodes) 1546251823.425 * * [misc]simplify: iters left: 5 (24 enodes) 1546251823.429 * * [misc]simplify: iters left: 4 (46 enodes) 1546251823.441 * * [misc]simplify: iters left: 3 (121 enodes) 1546251823.483 * * [misc]simplify: iters left: 2 (419 enodes) 1546251823.748 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1546251823.748 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1546251823.748 * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # 1546251823.749 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1546251823.749 * * [misc]simplify: iters left: 6 (13 enodes) 1546251823.751 * * [misc]simplify: iters left: 5 (20 enodes) 1546251823.754 * * [misc]simplify: iters left: 4 (40 enodes) 1546251823.761 * * [misc]simplify: iters left: 3 (87 enodes) 1546251823.793 * * [misc]simplify: iters left: 2 (260 enodes) 1546251824.022 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1546251824.022 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1546251824.022 * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # 1546251824.022 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1546251824.022 * * [misc]simplify: iters left: 6 (13 enodes) 1546251824.024 * * [misc]simplify: iters left: 5 (21 enodes) 1546251824.027 * * [misc]simplify: iters left: 4 (35 enodes) 1546251824.033 * * [misc]simplify: iters left: 3 (71 enodes) 1546251824.050 * * [misc]simplify: iters left: 2 (195 enodes) 1546251824.152 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1546251824.152 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1546251824.153 * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # 1546251824.153 * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # 1546251824.153 * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # 1546251824.153 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1546251824.153 * * [misc]simplify: iters left: 6 (15 enodes) 1546251824.155 * * [misc]simplify: iters left: 5 (25 enodes) 1546251824.159 * * [misc]simplify: iters left: 4 (52 enodes) 1546251824.168 * * [misc]simplify: iters left: 3 (89 enodes) 1546251824.186 * * [misc]simplify: iters left: 2 (115 enodes) 1546251824.210 * * [misc]simplify: iters left: 1 (117 enodes) 1546251824.231 * [exit]simplify: Simplified to (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3) 1546251824.231 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3)) (sqrt k))) 1546251824.231 * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # 1546251824.231 * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # 1546251824.232 * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # 1546251824.232 * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # 1546251824.232 * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # 1546251824.232 * [enter]simplify: Simplifying (pow n 1/2) 1546251824.232 * * [misc]simplify: iters left: 1 (3 enodes) 1546251824.233 * [exit]simplify: Simplified to (sqrt n) 1546251824.233 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n)) (sqrt k))) 1546251824.233 * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # 1546251824.233 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1546251824.234 * * [misc]simplify: iters left: 3 (7 enodes) 1546251824.236 * * [misc]simplify: iters left: 2 (9 enodes) 1546251824.238 * * [misc]simplify: iters left: 1 (11 enodes) 1546251824.241 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1546251824.241 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1546251824.242 * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # 1546251824.242 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1546251824.242 * * [misc]simplify: iters left: 3 (7 enodes) 1546251824.244 * * [misc]simplify: iters left: 2 (9 enodes) 1546251824.247 * * [misc]simplify: iters left: 1 (11 enodes) 1546251824.250 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1546251824.250 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1546251824.250 * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # 1546251824.250 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1546251824.250 * * [misc]simplify: iters left: 2 (6 enodes) 1546251824.252 * * [misc]simplify: iters left: 1 (8 enodes) 1546251824.254 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1546251824.254 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251824.254 * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # 1546251824.254 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1546251824.254 * * [misc]simplify: iters left: 3 (7 enodes) 1546251824.256 * * [misc]simplify: iters left: 2 (9 enodes) 1546251824.259 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1546251824.259 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251824.259 * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # 1546251824.259 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251824.259 * * [misc]simplify: iters left: 2 (6 enodes) 1546251824.261 * * [misc]simplify: iters left: 1 (8 enodes) 1546251824.264 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251824.264 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251824.264 * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # 1546251824.264 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251824.264 * * [misc]simplify: iters left: 6 (10 enodes) 1546251824.267 * * [misc]simplify: iters left: 5 (13 enodes) 1546251824.271 * * [misc]simplify: iters left: 4 (15 enodes) 1546251824.275 * * [misc]simplify: iters left: 3 (16 enodes) 1546251824.279 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251824.279 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251824.279 * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # 1546251824.279 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251824.279 * * [misc]simplify: iters left: 4 (9 enodes) 1546251824.282 * * [misc]simplify: iters left: 3 (12 enodes) 1546251824.285 * * [misc]simplify: iters left: 2 (14 enodes) 1546251824.289 * * [misc]simplify: iters left: 1 (15 enodes) 1546251824.293 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251824.293 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251824.294 * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # 1546251824.294 * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # 1546251824.294 * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # 1546251824.294 * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # 1546251824.294 * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # 1546251824.294 * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # 1546251824.294 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1546251824.294 * * [misc]simplify: iters left: 6 (16 enodes) 1546251824.300 * * [misc]simplify: iters left: 5 (32 enodes) 1546251824.313 * * [misc]simplify: iters left: 4 (74 enodes) 1546251824.332 * * [misc]simplify: iters left: 3 (227 enodes) 1546251824.501 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1546251824.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1546251824.501 * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # 1546251824.501 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1546251824.501 * * [misc]simplify: iters left: 6 (16 enodes) 1546251824.504 * * [misc]simplify: iters left: 5 (31 enodes) 1546251824.512 * * [misc]simplify: iters left: 4 (64 enodes) 1546251824.528 * * [misc]simplify: iters left: 3 (187 enodes) 1546251824.657 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1546251824.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1546251824.657 * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # 1546251824.657 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1546251824.657 * * [misc]simplify: iters left: 6 (16 enodes) 1546251824.661 * * [misc]simplify: iters left: 5 (32 enodes) 1546251824.673 * * [misc]simplify: iters left: 4 (74 enodes) 1546251824.695 * * [misc]simplify: iters left: 3 (227 enodes) 1546251824.846 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1546251824.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1546251824.847 * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # 1546251824.847 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1546251824.847 * * [misc]simplify: iters left: 6 (16 enodes) 1546251824.850 * * [misc]simplify: iters left: 5 (31 enodes) 1546251824.855 * * [misc]simplify: iters left: 4 (64 enodes) 1546251824.888 * * [misc]simplify: iters left: 3 (187 enodes) 1546251825.014 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1546251825.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1546251825.014 * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # 1546251825.014 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1546251825.015 * * [misc]simplify: iters left: 6 (16 enodes) 1546251825.019 * * [misc]simplify: iters left: 5 (27 enodes) 1546251825.029 * * [misc]simplify: iters left: 4 (58 enodes) 1546251825.053 * * [misc]simplify: iters left: 3 (133 enodes) 1546251825.147 * * [misc]simplify: iters left: 2 (461 enodes) 1546251825.638 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1546251825.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1546251825.638 * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # 1546251825.638 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1546251825.638 * * [misc]simplify: iters left: 6 (16 enodes) 1546251825.643 * * [misc]simplify: iters left: 5 (28 enodes) 1546251825.652 * * [misc]simplify: iters left: 4 (52 enodes) 1546251825.672 * * [misc]simplify: iters left: 3 (105 enodes) 1546251825.727 * * [misc]simplify: iters left: 2 (371 enodes) 1546251826.052 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1546251826.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1546251826.052 * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # 1546251826.052 * [enter]simplify: Simplifying (- (log (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1546251826.053 * * [misc]simplify: iters left: 6 (15 enodes) 1546251826.055 * * [misc]simplify: iters left: 5 (24 enodes) 1546251826.058 * * [misc]simplify: iters left: 4 (36 enodes) 1546251826.064 * * [misc]simplify: iters left: 3 (60 enodes) 1546251826.082 * * [misc]simplify: iters left: 2 (109 enodes) 1546251826.158 * * [misc]simplify: iters left: 1 (384 enodes) 1546251826.516 * [exit]simplify: Simplified to (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1546251826.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1546251826.517 * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # 1546251826.517 * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # 1546251826.517 * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # 1546251826.517 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251826.517 * * [misc]simplify: iters left: 6 (19 enodes) 1546251826.520 * * [misc]simplify: iters left: 5 (37 enodes) 1546251826.533 * * [misc]simplify: iters left: 4 (122 enodes) 1546251826.587 * * [misc]simplify: iters left: 3 (419 enodes) 1546251826.876 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1546251826.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1546251826.876 * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # 1546251826.876 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251826.876 * * [misc]simplify: iters left: 6 (17 enodes) 1546251826.879 * * [misc]simplify: iters left: 5 (36 enodes) 1546251826.885 * * [misc]simplify: iters left: 4 (103 enodes) 1546251826.923 * * [misc]simplify: iters left: 3 (352 enodes) 1546251827.260 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1546251827.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1546251827.260 * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # 1546251827.261 * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # 1546251827.261 * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # 1546251827.261 * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # 1546251827.261 * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # 1546251827.261 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251827.261 * * [misc]simplify: iters left: 6 (12 enodes) 1546251827.263 * * [misc]simplify: iters left: 5 (17 enodes) 1546251827.265 * * [misc]simplify: iters left: 4 (19 enodes) 1546251827.268 * * [misc]simplify: iters left: 3 (20 enodes) 1546251827.270 * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546251827.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1546251827.270 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1546251827.270 * * [misc]simplify: iters left: 4 (9 enodes) 1546251827.272 * * [misc]simplify: iters left: 3 (11 enodes) 1546251827.273 * * [misc]simplify: iters left: 2 (13 enodes) 1546251827.275 * * [misc]simplify: iters left: 1 (14 enodes) 1546251827.277 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1546251827.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1546251827.277 * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # 1546251827.277 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1546251827.277 * * [misc]simplify: iters left: 5 (11 enodes) 1546251827.279 * * [misc]simplify: iters left: 4 (14 enodes) 1546251827.281 * * [misc]simplify: iters left: 3 (16 enodes) 1546251827.283 * * [misc]simplify: iters left: 2 (17 enodes) 1546251827.285 * [exit]simplify: Simplified to (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1546251827.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1546251827.285 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1546251827.285 * * [misc]simplify: iters left: 4 (9 enodes) 1546251827.286 * * [misc]simplify: iters left: 3 (11 enodes) 1546251827.290 * * [misc]simplify: iters left: 2 (13 enodes) 1546251827.292 * * [misc]simplify: iters left: 1 (14 enodes) 1546251827.293 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1546251827.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1546251827.294 * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # 1546251827.294 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) 1) 1546251827.294 * * [misc]simplify: iters left: 5 (10 enodes) 1546251827.295 * * [misc]simplify: iters left: 4 (15 enodes) 1546251827.299 * * [misc]simplify: iters left: 3 (19 enodes) 1546251827.303 * * [misc]simplify: iters left: 2 (20 enodes) 1546251827.308 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251827.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1546251827.308 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1546251827.308 * * [misc]simplify: iters left: 4 (8 enodes) 1546251827.310 * * [misc]simplify: iters left: 3 (10 enodes) 1546251827.313 * * [misc]simplify: iters left: 2 (12 enodes) 1546251827.317 * * [misc]simplify: iters left: 1 (13 enodes) 1546251827.320 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1546251827.320 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1546251827.320 * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # 1546251827.320 * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # 1546251827.320 * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # 1546251827.320 * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # 1546251827.320 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546251827.320 * * [misc]simplify: iters left: 2 (3 enodes) 1546251827.321 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546251827.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1546251827.321 * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # 1546251827.322 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546251827.322 * * [misc]simplify: iters left: 2 (3 enodes) 1546251827.323 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546251827.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546251827.323 * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # 1546251827.323 * [enter]simplify: Simplifying (sqrt k) 1546251827.323 * * [misc]simplify: iters left: 1 (2 enodes) 1546251827.324 * [exit]simplify: Simplified to (sqrt k) 1546251827.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1) (sqrt k))) 1546251827.324 * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # 1546251827.324 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251827.324 * * [misc]simplify: iters left: 3 (8 enodes) 1546251827.326 * * [misc]simplify: iters left: 2 (11 enodes) 1546251827.330 * * [misc]simplify: iters left: 1 (13 enodes) 1546251827.333 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251827.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1546251827.333 * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # 1546251827.334 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251827.334 * * [misc]simplify: iters left: 6 (18 enodes) 1546251827.340 * * [misc]simplify: iters left: 5 (39 enodes) 1546251827.355 * * [misc]simplify: iters left: 4 (119 enodes) 1546251827.390 * * [misc]simplify: iters left: 3 (334 enodes) 1546251827.511 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1546251827.511 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))) (sqrt k))) 1546251827.511 * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # 1546251827.512 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251827.512 * * [misc]simplify: iters left: 6 (12 enodes) 1546251827.517 * * [misc]simplify: iters left: 5 (28 enodes) 1546251827.528 * * [misc]simplify: iters left: 4 (67 enodes) 1546251827.556 * * [misc]simplify: iters left: 3 (180 enodes) 1546251827.672 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1546251827.672 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251827.672 * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # 1546251827.673 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251827.673 * * [misc]simplify: iters left: 6 (12 enodes) 1546251827.678 * * [misc]simplify: iters left: 5 (22 enodes) 1546251827.687 * * [misc]simplify: iters left: 4 (52 enodes) 1546251827.711 * * [misc]simplify: iters left: 3 (149 enodes) 1546251827.808 * * [misc]simplify: iters left: 2 (453 enodes) 1546251828.704 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1546251828.704 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2))) (sqrt k))) 1546251828.704 * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # 1546251828.704 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251828.704 * * [misc]simplify: iters left: 6 (22 enodes) 1546251828.713 * * [misc]simplify: iters left: 5 (55 enodes) 1546251828.735 * * [misc]simplify: iters left: 4 (175 enodes) 1546251828.829 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1546251828.829 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251828.829 * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # 1546251828.830 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251828.830 * * [misc]simplify: iters left: 3 (8 enodes) 1546251828.831 * * [misc]simplify: iters left: 2 (11 enodes) 1546251828.832 * * [misc]simplify: iters left: 1 (13 enodes) 1546251828.834 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251828.834 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251828.834 * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # 1546251828.834 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251828.834 * * [misc]simplify: iters left: 3 (8 enodes) 1546251828.836 * * [misc]simplify: iters left: 2 (11 enodes) 1546251828.837 * * [misc]simplify: iters left: 1 (13 enodes) 1546251828.839 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251828.839 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251828.839 * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # 1546251828.839 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1546251828.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1546251828.839 * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # 1546251828.839 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1546251828.839 * * [misc]simplify: iters left: 6 (17 enodes) 1546251828.843 * * [misc]simplify: iters left: 5 (35 enodes) 1546251828.849 * * [misc]simplify: iters left: 4 (74 enodes) 1546251828.864 * * [misc]simplify: iters left: 3 (192 enodes) 1546251828.969 * [exit]simplify: Simplified to (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546251828.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1546251828.969 * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # 1546251828.969 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1546251828.969 * * [misc]simplify: iters left: 6 (17 enodes) 1546251828.973 * * [misc]simplify: iters left: 5 (29 enodes) 1546251828.978 * * [misc]simplify: iters left: 4 (59 enodes) 1546251828.999 * * [misc]simplify: iters left: 3 (156 enodes) 1546251829.073 * * [misc]simplify: iters left: 2 (468 enodes) 1546251829.808 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) 1546251829.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) (sqrt k))) 1546251829.808 * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # 1546251829.809 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546251829.809 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251829.809 * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # 1546251829.809 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1546251829.809 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251829.809 * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # 1546251829.809 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1546251829.809 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251829.809 * * * [misc]progress: adding candidates to table 1546251831.379 * * [misc]progress: iteration 3 / 4 1546251831.380 * * * [misc]progress: picking best candidate 1546251831.440 * * * * [misc]pick: Picked # 1546251831.440 * * * [misc]progress: localizing error 1546251831.450 * * * [misc]progress: generating rewritten candidates 1546251831.450 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1546251831.451 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1546251831.454 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1546251831.456 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546251831.489 * * * [misc]progress: generating series expansions 1546251831.489 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1546251831.489 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1546251831.489 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1546251831.489 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251831.489 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251831.489 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251831.489 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.489 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.489 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.489 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.489 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.489 * [misc]taylor: Taking taylor expansion of k in k 1546251831.489 * [misc]backup-simplify: Simplify 0 into 0 1546251831.489 * [misc]backup-simplify: Simplify 1 into 1 1546251831.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.490 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.490 * [misc]taylor: Taking taylor expansion of n in k 1546251831.490 * [misc]backup-simplify: Simplify n into n 1546251831.490 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.490 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.490 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.490 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251831.490 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251831.490 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251831.491 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251831.491 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251831.491 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251831.491 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.491 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251831.491 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.491 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.491 * [misc]taylor: Taking taylor expansion of k in n 1546251831.491 * [misc]backup-simplify: Simplify k into k 1546251831.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.491 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.491 * [misc]taylor: Taking taylor expansion of n in n 1546251831.491 * [misc]backup-simplify: Simplify 0 into 0 1546251831.491 * [misc]backup-simplify: Simplify 1 into 1 1546251831.491 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.491 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251831.491 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251831.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.492 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251831.492 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251831.492 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251831.492 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251831.492 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251831.492 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251831.492 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.492 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251831.492 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.492 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.492 * [misc]taylor: Taking taylor expansion of k in n 1546251831.492 * [misc]backup-simplify: Simplify k into k 1546251831.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.492 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.492 * [misc]taylor: Taking taylor expansion of n in n 1546251831.492 * [misc]backup-simplify: Simplify 0 into 0 1546251831.492 * [misc]backup-simplify: Simplify 1 into 1 1546251831.492 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.493 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251831.493 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251831.493 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.493 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251831.493 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251831.493 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1546251831.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1546251831.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1546251831.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251831.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.493 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251831.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.493 * [misc]taylor: Taking taylor expansion of k in k 1546251831.494 * [misc]backup-simplify: Simplify 0 into 0 1546251831.494 * [misc]backup-simplify: Simplify 1 into 1 1546251831.494 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.494 * [misc]taylor: Taking taylor expansion of n in k 1546251831.494 * [misc]backup-simplify: Simplify n into n 1546251831.494 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.494 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251831.494 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.494 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.494 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251831.494 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251831.494 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1546251831.498 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251831.498 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1546251831.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.498 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.499 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1546251831.500 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.500 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.500 * [misc]backup-simplify: Simplify 0 into 0 1546251831.500 * [misc]backup-simplify: Simplify 0 into 0 1546251831.501 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251831.501 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546251831.501 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251831.502 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251831.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251831.502 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251831.502 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1546251831.507 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251831.507 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546251831.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.508 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.508 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1546251831.510 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251831.510 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.510 * [misc]backup-simplify: Simplify 0 into 0 1546251831.510 * [misc]backup-simplify: Simplify 0 into 0 1546251831.510 * [misc]backup-simplify: Simplify 0 into 0 1546251831.512 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251831.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251831.512 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251831.514 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251831.514 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251831.514 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251831.515 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251831.515 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1546251831.515 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.515 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.515 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.515 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of k in k 1546251831.515 * [misc]backup-simplify: Simplify 0 into 0 1546251831.515 * [misc]backup-simplify: Simplify 1 into 1 1546251831.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.515 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251831.515 * [misc]taylor: Taking taylor expansion of n in k 1546251831.516 * [misc]backup-simplify: Simplify n into n 1546251831.516 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251831.516 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251831.516 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.516 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.516 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251831.516 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251831.516 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.516 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.516 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.516 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.517 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.517 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.517 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.517 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.517 * [misc]taylor: Taking taylor expansion of k in n 1546251831.517 * [misc]backup-simplify: Simplify k into k 1546251831.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.517 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.517 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.517 * [misc]taylor: Taking taylor expansion of n in n 1546251831.517 * [misc]backup-simplify: Simplify 0 into 0 1546251831.517 * [misc]backup-simplify: Simplify 1 into 1 1546251831.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.517 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.517 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.517 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.518 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.518 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.518 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.518 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.518 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.518 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.518 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.518 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.518 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.518 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.518 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.518 * [misc]taylor: Taking taylor expansion of k in n 1546251831.518 * [misc]backup-simplify: Simplify k into k 1546251831.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.519 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.519 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.519 * [misc]taylor: Taking taylor expansion of n in n 1546251831.519 * [misc]backup-simplify: Simplify 0 into 0 1546251831.519 * [misc]backup-simplify: Simplify 1 into 1 1546251831.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.523 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.523 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.523 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.523 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.523 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.523 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1546251831.523 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.524 * [misc]backup-simplify: Simplify -1 into -1 1546251831.524 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of k in k 1546251831.524 * [misc]backup-simplify: Simplify 0 into 0 1546251831.524 * [misc]backup-simplify: Simplify 1 into 1 1546251831.524 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.524 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.524 * [misc]taylor: Taking taylor expansion of n in k 1546251831.524 * [misc]backup-simplify: Simplify n into n 1546251831.524 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.524 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251831.524 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251831.524 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251831.524 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1546251831.524 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1546251831.524 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.525 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.525 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251831.526 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251831.526 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251831.527 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251831.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.527 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251831.528 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.528 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.528 * [misc]backup-simplify: Simplify 0 into 0 1546251831.528 * [misc]backup-simplify: Simplify 0 into 0 1546251831.528 * [misc]backup-simplify: Simplify 0 into 0 1546251831.528 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.531 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251831.531 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251831.531 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251831.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.532 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1546251831.533 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251831.533 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.533 * [misc]backup-simplify: Simplify 0 into 0 1546251831.533 * [misc]backup-simplify: Simplify 0 into 0 1546251831.533 * [misc]backup-simplify: Simplify 0 into 0 1546251831.533 * [misc]backup-simplify: Simplify 0 into 0 1546251831.533 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.537 * [misc]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 1546251831.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251831.538 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251831.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.538 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1546251831.540 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251831.540 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.540 * [misc]backup-simplify: Simplify 0 into 0 1546251831.540 * [misc]backup-simplify: Simplify 0 into 0 1546251831.541 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251831.541 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1546251831.541 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1546251831.541 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.541 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.541 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.541 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.541 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.541 * [misc]backup-simplify: Simplify -1 into -1 1546251831.541 * [misc]taylor: Taking taylor expansion of k in k 1546251831.541 * [misc]backup-simplify: Simplify 0 into 0 1546251831.541 * [misc]backup-simplify: Simplify 1 into 1 1546251831.541 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.541 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251831.541 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.541 * [misc]backup-simplify: Simplify -1 into -1 1546251831.541 * [misc]taylor: Taking taylor expansion of n in k 1546251831.541 * [misc]backup-simplify: Simplify n into n 1546251831.541 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251831.541 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251831.541 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.542 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.542 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251831.542 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251831.542 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.542 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.542 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.542 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.542 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.542 * [misc]backup-simplify: Simplify -1 into -1 1546251831.542 * [misc]taylor: Taking taylor expansion of k in n 1546251831.542 * [misc]backup-simplify: Simplify k into k 1546251831.542 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.542 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.542 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.542 * [misc]backup-simplify: Simplify -1 into -1 1546251831.542 * [misc]taylor: Taking taylor expansion of n in n 1546251831.542 * [misc]backup-simplify: Simplify 0 into 0 1546251831.542 * [misc]backup-simplify: Simplify 1 into 1 1546251831.542 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.542 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.542 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.543 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.543 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.543 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.543 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.543 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251831.543 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251831.543 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.543 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.543 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.543 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.543 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.543 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.543 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.543 * [misc]backup-simplify: Simplify -1 into -1 1546251831.543 * [misc]taylor: Taking taylor expansion of k in n 1546251831.543 * [misc]backup-simplify: Simplify k into k 1546251831.543 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.544 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.544 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.544 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.544 * [misc]backup-simplify: Simplify -1 into -1 1546251831.544 * [misc]taylor: Taking taylor expansion of n in n 1546251831.544 * [misc]backup-simplify: Simplify 0 into 0 1546251831.544 * [misc]backup-simplify: Simplify 1 into 1 1546251831.544 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.544 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.544 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.544 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.544 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.545 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of k in k 1546251831.545 * [misc]backup-simplify: Simplify 0 into 0 1546251831.545 * [misc]backup-simplify: Simplify 1 into 1 1546251831.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.545 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of (log -1) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.545 * [misc]backup-simplify: Simplify -1 into -1 1546251831.545 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.545 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.545 * [misc]taylor: Taking taylor expansion of n in k 1546251831.545 * [misc]backup-simplify: Simplify n into n 1546251831.545 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251831.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.545 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251831.546 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1546251831.546 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1546251831.546 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.546 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.546 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251831.548 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251831.548 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251831.549 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251831.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.549 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1546251831.550 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.550 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.550 * [misc]backup-simplify: Simplify 0 into 0 1546251831.550 * [misc]backup-simplify: Simplify 0 into 0 1546251831.550 * [misc]backup-simplify: Simplify 0 into 0 1546251831.550 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.553 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1546251831.553 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251831.553 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1546251831.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.554 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1546251831.555 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251831.555 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.555 * [misc]backup-simplify: Simplify 0 into 0 1546251831.555 * [misc]backup-simplify: Simplify 0 into 0 1546251831.555 * [misc]backup-simplify: Simplify 0 into 0 1546251831.555 * [misc]backup-simplify: Simplify 0 into 0 1546251831.556 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.560 * [misc]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 1546251831.560 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251831.560 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1546251831.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.561 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1546251831.563 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251831.563 * [misc]taylor: Taking taylor expansion of 0 in k 1546251831.563 * [misc]backup-simplify: Simplify 0 into 0 1546251831.563 * [misc]backup-simplify: Simplify 0 into 0 1546251831.564 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251831.564 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1) 1546251831.564 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.564 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1546251831.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.564 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.564 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.564 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.564 * [misc]taylor: Taking taylor expansion of k in k 1546251831.564 * [misc]backup-simplify: Simplify 0 into 0 1546251831.564 * [misc]backup-simplify: Simplify 1 into 1 1546251831.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.564 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.564 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.564 * [misc]backup-simplify: Simplify 2 into 2 1546251831.564 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.564 * [misc]backup-simplify: Simplify PI into PI 1546251831.565 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.565 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.565 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.565 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.566 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.566 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.566 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.566 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.566 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.566 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.566 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.566 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.566 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.566 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.566 * [misc]taylor: Taking taylor expansion of k in k 1546251831.566 * [misc]backup-simplify: Simplify 0 into 0 1546251831.567 * [misc]backup-simplify: Simplify 1 into 1 1546251831.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.567 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.567 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.567 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.567 * [misc]backup-simplify: Simplify 2 into 2 1546251831.567 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.567 * [misc]backup-simplify: Simplify PI into PI 1546251831.567 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.567 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.567 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.568 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.568 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.569 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.570 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1546251831.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.574 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251831.574 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251831.579 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251831.581 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1546251831.582 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251831.587 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251831.587 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251831.588 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251831.595 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251831.597 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1546251831.603 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251831.603 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.603 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1546251831.603 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.603 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.603 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.604 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.604 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.604 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.604 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.604 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.604 * [misc]taylor: Taking taylor expansion of k in k 1546251831.604 * [misc]backup-simplify: Simplify 0 into 0 1546251831.604 * [misc]backup-simplify: Simplify 1 into 1 1546251831.604 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.604 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.604 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.604 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.604 * [misc]backup-simplify: Simplify 2 into 2 1546251831.604 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.604 * [misc]backup-simplify: Simplify PI into PI 1546251831.605 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.605 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.605 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.605 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.606 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.607 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.607 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.607 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.607 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.607 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of k in k 1546251831.607 * [misc]backup-simplify: Simplify 0 into 0 1546251831.607 * [misc]backup-simplify: Simplify 1 into 1 1546251831.607 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.607 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.607 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.607 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.608 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.608 * [misc]backup-simplify: Simplify 2 into 2 1546251831.608 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.608 * [misc]backup-simplify: Simplify PI into PI 1546251831.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.608 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.609 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.609 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.610 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.610 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.611 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify 0 into 0 1546251831.611 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.612 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.612 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1546251831.612 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.612 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.612 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.612 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.612 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.612 * [misc]backup-simplify: Simplify -1 into -1 1546251831.612 * [misc]taylor: Taking taylor expansion of k in k 1546251831.612 * [misc]backup-simplify: Simplify 0 into 0 1546251831.612 * [misc]backup-simplify: Simplify 1 into 1 1546251831.612 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.612 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.612 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.612 * [misc]backup-simplify: Simplify 2 into 2 1546251831.612 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.612 * [misc]backup-simplify: Simplify PI into PI 1546251831.612 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.613 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.613 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.613 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.613 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.614 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.614 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.614 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.614 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.614 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.614 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.614 * [misc]backup-simplify: Simplify -1 into -1 1546251831.614 * [misc]taylor: Taking taylor expansion of k in k 1546251831.614 * [misc]backup-simplify: Simplify 0 into 0 1546251831.614 * [misc]backup-simplify: Simplify 1 into 1 1546251831.614 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.614 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.614 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.614 * [misc]backup-simplify: Simplify 2 into 2 1546251831.614 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.614 * [misc]backup-simplify: Simplify PI into PI 1546251831.614 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.615 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.615 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.615 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.615 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.616 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.616 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify 0 into 0 1546251831.616 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.616 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1546251831.617 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.617 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1546251831.617 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.617 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.617 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.617 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.617 * [misc]taylor: Taking taylor expansion of k in k 1546251831.617 * [misc]backup-simplify: Simplify 0 into 0 1546251831.617 * [misc]backup-simplify: Simplify 1 into 1 1546251831.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.617 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.617 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.617 * [misc]backup-simplify: Simplify 2 into 2 1546251831.617 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.617 * [misc]backup-simplify: Simplify PI into PI 1546251831.617 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.617 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.618 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.618 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.618 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.619 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.619 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.619 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.619 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.619 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.619 * [misc]taylor: Taking taylor expansion of k in k 1546251831.619 * [misc]backup-simplify: Simplify 0 into 0 1546251831.619 * [misc]backup-simplify: Simplify 1 into 1 1546251831.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.619 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.619 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.619 * [misc]backup-simplify: Simplify 2 into 2 1546251831.619 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.619 * [misc]backup-simplify: Simplify PI into PI 1546251831.619 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.620 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.620 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.620 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.620 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.621 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.621 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1546251831.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.623 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.624 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251831.624 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251831.627 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251831.628 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1546251831.629 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251831.632 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251831.632 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251831.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251831.636 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251831.637 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1546251831.641 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251831.642 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.642 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1546251831.642 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.642 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.642 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.642 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.642 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.642 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.642 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.642 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.642 * [misc]taylor: Taking taylor expansion of k in k 1546251831.642 * [misc]backup-simplify: Simplify 0 into 0 1546251831.642 * [misc]backup-simplify: Simplify 1 into 1 1546251831.642 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.642 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.643 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.643 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.643 * [misc]backup-simplify: Simplify 2 into 2 1546251831.643 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.643 * [misc]backup-simplify: Simplify PI into PI 1546251831.643 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.643 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.644 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.644 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.645 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.645 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.645 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.645 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.645 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.645 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.645 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.646 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.646 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.646 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.646 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.646 * [misc]taylor: Taking taylor expansion of k in k 1546251831.646 * [misc]backup-simplify: Simplify 0 into 0 1546251831.646 * [misc]backup-simplify: Simplify 1 into 1 1546251831.646 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.646 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.646 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.646 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.646 * [misc]backup-simplify: Simplify 2 into 2 1546251831.646 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.646 * [misc]backup-simplify: Simplify PI into PI 1546251831.646 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.647 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.647 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.648 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.649 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.649 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.649 * [misc]backup-simplify: Simplify 0 into 0 1546251831.650 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.650 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.650 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1546251831.650 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.650 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.650 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.650 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.650 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.650 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.650 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.650 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.650 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.650 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.650 * [misc]backup-simplify: Simplify -1 into -1 1546251831.650 * [misc]taylor: Taking taylor expansion of k in k 1546251831.651 * [misc]backup-simplify: Simplify 0 into 0 1546251831.651 * [misc]backup-simplify: Simplify 1 into 1 1546251831.651 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.651 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.651 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.651 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.651 * [misc]backup-simplify: Simplify 2 into 2 1546251831.651 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.651 * [misc]backup-simplify: Simplify PI into PI 1546251831.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.653 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.654 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.654 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.655 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.655 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.655 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.655 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.655 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.656 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.656 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.656 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.656 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.656 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.656 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.656 * [misc]backup-simplify: Simplify -1 into -1 1546251831.656 * [misc]taylor: Taking taylor expansion of k in k 1546251831.656 * [misc]backup-simplify: Simplify 0 into 0 1546251831.656 * [misc]backup-simplify: Simplify 1 into 1 1546251831.656 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.656 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.656 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.656 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.656 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.656 * [misc]backup-simplify: Simplify 2 into 2 1546251831.656 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.656 * [misc]backup-simplify: Simplify PI into PI 1546251831.657 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.657 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.657 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.657 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.658 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.659 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.659 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.659 * [misc]backup-simplify: Simplify 0 into 0 1546251831.660 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251831.660 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546251831.661 * [misc]backup-simplify: Simplify (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251831.661 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1546251831.661 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1546251831.661 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546251831.661 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.661 * [misc]taylor: Taking taylor expansion of k in n 1546251831.661 * [misc]backup-simplify: Simplify k into k 1546251831.661 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.661 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546251831.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251831.662 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546251831.662 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251831.662 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.662 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.662 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.662 * [misc]taylor: Taking taylor expansion of k in n 1546251831.662 * [misc]backup-simplify: Simplify k into k 1546251831.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.662 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.662 * [misc]taylor: Taking taylor expansion of n in n 1546251831.662 * [misc]backup-simplify: Simplify 0 into 0 1546251831.662 * [misc]backup-simplify: Simplify 1 into 1 1546251831.662 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.662 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251831.662 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251831.663 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.663 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251831.663 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251831.663 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251831.663 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.663 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.663 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.663 * [misc]taylor: Taking taylor expansion of k in n 1546251831.663 * [misc]backup-simplify: Simplify k into k 1546251831.663 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.663 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.663 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.663 * [misc]backup-simplify: Simplify 2 into 2 1546251831.663 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.663 * [misc]backup-simplify: Simplify PI into PI 1546251831.664 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.664 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.664 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251831.664 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251831.665 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1546251831.665 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1546251831.666 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1546251831.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251831.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.666 * [misc]taylor: Taking taylor expansion of k in k 1546251831.666 * [misc]backup-simplify: Simplify 0 into 0 1546251831.666 * [misc]backup-simplify: Simplify 1 into 1 1546251831.666 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.666 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251831.666 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251831.666 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251831.667 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251831.667 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251831.667 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.667 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.667 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.667 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.667 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.667 * [misc]taylor: Taking taylor expansion of k in k 1546251831.667 * [misc]backup-simplify: Simplify 0 into 0 1546251831.667 * [misc]backup-simplify: Simplify 1 into 1 1546251831.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.667 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.667 * [misc]taylor: Taking taylor expansion of n in k 1546251831.667 * [misc]backup-simplify: Simplify n into n 1546251831.667 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.667 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.667 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.667 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251831.667 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251831.667 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.668 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.668 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.668 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.668 * [misc]taylor: Taking taylor expansion of k in k 1546251831.668 * [misc]backup-simplify: Simplify 0 into 0 1546251831.668 * [misc]backup-simplify: Simplify 1 into 1 1546251831.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.668 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.668 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.668 * [misc]backup-simplify: Simplify 2 into 2 1546251831.668 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.668 * [misc]backup-simplify: Simplify PI into PI 1546251831.668 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.669 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.669 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.669 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.670 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.671 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.671 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1546251831.671 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251831.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.671 * [misc]taylor: Taking taylor expansion of k in k 1546251831.671 * [misc]backup-simplify: Simplify 0 into 0 1546251831.671 * [misc]backup-simplify: Simplify 1 into 1 1546251831.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.671 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.672 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251831.672 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.672 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.672 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.672 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.672 * [misc]taylor: Taking taylor expansion of k in k 1546251831.672 * [misc]backup-simplify: Simplify 0 into 0 1546251831.672 * [misc]backup-simplify: Simplify 1 into 1 1546251831.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.672 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251831.672 * [misc]taylor: Taking taylor expansion of n in k 1546251831.672 * [misc]backup-simplify: Simplify n into n 1546251831.672 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251831.672 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.673 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.673 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251831.673 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251831.673 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251831.673 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251831.673 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.673 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.673 * [misc]taylor: Taking taylor expansion of k in k 1546251831.673 * [misc]backup-simplify: Simplify 0 into 0 1546251831.673 * [misc]backup-simplify: Simplify 1 into 1 1546251831.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.673 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.673 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.673 * [misc]backup-simplify: Simplify 2 into 2 1546251831.673 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.673 * [misc]backup-simplify: Simplify PI into PI 1546251831.674 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.674 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.674 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251831.674 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251831.675 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.676 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251831.677 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1546251831.677 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1546251831.677 * [misc]taylor: Taking taylor expansion of 0 in n 1546251831.677 * [misc]backup-simplify: Simplify 0 into 0 1546251831.677 * [misc]backup-simplify: Simplify 0 into 0 1546251831.678 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.680 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.680 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251831.680 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251831.685 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251831.686 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251831.686 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251831.686 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251831.687 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251831.689 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1546251831.690 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546251831.690 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546251831.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251831.691 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.691 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.691 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251831.691 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.691 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.691 * [misc]backup-simplify: Simplify 2 into 2 1546251831.691 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.691 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.691 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.691 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.691 * [misc]taylor: Taking taylor expansion of n in n 1546251831.691 * [misc]backup-simplify: Simplify 0 into 0 1546251831.691 * [misc]backup-simplify: Simplify 1 into 1 1546251831.691 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.691 * [misc]backup-simplify: Simplify PI into PI 1546251831.691 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.692 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.692 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.692 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251831.692 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.692 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.693 * [misc]backup-simplify: Simplify 0 into 0 1546251831.693 * [misc]backup-simplify: Simplify 0 into 0 1546251831.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251831.696 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251831.696 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251831.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251831.701 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251831.702 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251831.702 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251831.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.702 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251831.703 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251831.706 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1546251831.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251831.707 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251831.710 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1546251831.710 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.710 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.710 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.710 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.710 * [misc]backup-simplify: Simplify 2 into 2 1546251831.711 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.711 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.711 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.711 * [misc]taylor: Taking taylor expansion of n in n 1546251831.711 * [misc]backup-simplify: Simplify 0 into 0 1546251831.711 * [misc]backup-simplify: Simplify 1 into 1 1546251831.711 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.711 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.711 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.711 * [misc]taylor: Taking taylor expansion of n in n 1546251831.711 * [misc]backup-simplify: Simplify 0 into 0 1546251831.711 * [misc]backup-simplify: Simplify 1 into 1 1546251831.711 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.711 * [misc]backup-simplify: Simplify PI into PI 1546251831.711 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.713 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.713 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.713 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.713 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.713 * [misc]backup-simplify: Simplify 2 into 2 1546251831.713 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.713 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.713 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.713 * [misc]backup-simplify: Simplify 2 into 2 1546251831.713 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.713 * [misc]backup-simplify: Simplify PI into PI 1546251831.713 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.714 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.714 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.714 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.714 * [misc]taylor: Taking taylor expansion of n in n 1546251831.714 * [misc]backup-simplify: Simplify 0 into 0 1546251831.714 * [misc]backup-simplify: Simplify 1 into 1 1546251831.714 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.714 * [misc]backup-simplify: Simplify PI into PI 1546251831.714 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.715 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.715 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.715 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.715 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.715 * [misc]backup-simplify: Simplify 2 into 2 1546251831.715 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.715 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.715 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.715 * [misc]taylor: Taking taylor expansion of n in n 1546251831.715 * [misc]backup-simplify: Simplify 0 into 0 1546251831.715 * [misc]backup-simplify: Simplify 1 into 1 1546251831.715 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.715 * [misc]backup-simplify: Simplify PI into PI 1546251831.715 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.716 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.716 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.716 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.716 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1546251831.717 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1546251831.717 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.717 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1546251831.718 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1546251831.718 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.718 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251831.718 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.718 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.719 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.719 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.719 * [misc]backup-simplify: Simplify 0 into 0 1546251831.720 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.721 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.721 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.722 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.722 * [misc]backup-simplify: Simplify 0 into 0 1546251831.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546251831.728 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546251831.728 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546251831.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1546251831.735 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1546251831.736 * [misc]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 1546251831.737 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546251831.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1546251831.738 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1546251831.745 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1546251831.746 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.747 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251831.758 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1546251831.758 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.759 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.759 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.759 * [misc]backup-simplify: Simplify 2 into 2 1546251831.759 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.759 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.759 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.759 * [misc]taylor: Taking taylor expansion of n in n 1546251831.759 * [misc]backup-simplify: Simplify 0 into 0 1546251831.759 * [misc]backup-simplify: Simplify 1 into 1 1546251831.760 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.760 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.760 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.760 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.760 * [misc]taylor: Taking taylor expansion of n in n 1546251831.760 * [misc]backup-simplify: Simplify 0 into 0 1546251831.760 * [misc]backup-simplify: Simplify 1 into 1 1546251831.760 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.760 * [misc]backup-simplify: Simplify PI into PI 1546251831.760 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.761 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.761 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.762 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.762 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.762 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.762 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.762 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.762 * [misc]backup-simplify: Simplify 2 into 2 1546251831.762 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.762 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1546251831.763 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.763 * [misc]taylor: Taking taylor expansion of n in n 1546251831.763 * [misc]backup-simplify: Simplify 0 into 0 1546251831.763 * [misc]backup-simplify: Simplify 1 into 1 1546251831.763 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.763 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.763 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.763 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.763 * [misc]backup-simplify: Simplify 2 into 2 1546251831.763 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.763 * [misc]backup-simplify: Simplify PI into PI 1546251831.763 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.764 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.764 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.764 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.764 * [misc]taylor: Taking taylor expansion of n in n 1546251831.764 * [misc]backup-simplify: Simplify 0 into 0 1546251831.764 * [misc]backup-simplify: Simplify 1 into 1 1546251831.764 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.764 * [misc]backup-simplify: Simplify PI into PI 1546251831.764 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.766 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.766 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.766 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.766 * [misc]backup-simplify: Simplify 2 into 2 1546251831.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.766 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251831.766 * [misc]taylor: Taking taylor expansion of n in n 1546251831.766 * [misc]backup-simplify: Simplify 0 into 0 1546251831.766 * [misc]backup-simplify: Simplify 1 into 1 1546251831.767 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.767 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.767 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.767 * [misc]taylor: Taking taylor expansion of n in n 1546251831.767 * [misc]backup-simplify: Simplify 0 into 0 1546251831.767 * [misc]backup-simplify: Simplify 1 into 1 1546251831.767 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.767 * [misc]backup-simplify: Simplify PI into PI 1546251831.767 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.768 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.768 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.769 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.769 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1546251831.769 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1546251831.769 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546251831.769 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.769 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.769 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546251831.769 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.769 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.769 * [misc]backup-simplify: Simplify 2 into 2 1546251831.769 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.770 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.770 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.770 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.770 * [misc]taylor: Taking taylor expansion of n in n 1546251831.770 * [misc]backup-simplify: Simplify 0 into 0 1546251831.770 * [misc]backup-simplify: Simplify 1 into 1 1546251831.770 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.770 * [misc]backup-simplify: Simplify PI into PI 1546251831.770 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.771 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.771 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.771 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.772 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.772 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.772 * [misc]backup-simplify: Simplify 2 into 2 1546251831.772 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.772 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.772 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.772 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.772 * [misc]backup-simplify: Simplify 2 into 2 1546251831.772 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.772 * [misc]backup-simplify: Simplify PI into PI 1546251831.773 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.773 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.773 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.773 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.773 * [misc]taylor: Taking taylor expansion of n in n 1546251831.773 * [misc]backup-simplify: Simplify 0 into 0 1546251831.773 * [misc]backup-simplify: Simplify 1 into 1 1546251831.773 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.773 * [misc]backup-simplify: Simplify PI into PI 1546251831.774 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.774 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.775 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.775 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1546251831.775 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1546251831.775 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.775 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.775 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1546251831.775 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1546251831.775 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251831.775 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.775 * [misc]backup-simplify: Simplify 2 into 2 1546251831.775 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251831.776 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251831.776 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1546251831.776 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.776 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.776 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.776 * [misc]backup-simplify: Simplify 2 into 2 1546251831.776 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.776 * [misc]backup-simplify: Simplify PI into PI 1546251831.776 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.776 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.776 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546251831.776 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251831.776 * [misc]taylor: Taking taylor expansion of n in n 1546251831.776 * [misc]backup-simplify: Simplify 0 into 0 1546251831.776 * [misc]backup-simplify: Simplify 1 into 1 1546251831.776 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.776 * [misc]backup-simplify: Simplify PI into PI 1546251831.776 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251831.777 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251831.777 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.777 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546251831.777 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.777 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.778 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1546251831.778 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1546251831.778 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1546251831.778 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.778 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.779 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1546251831.779 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1546251831.779 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1546251831.780 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.780 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.780 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1546251831.780 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1546251831.780 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.780 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546251831.780 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.781 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1546251831.782 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1546251831.782 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.782 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1546251831.783 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1546251831.784 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1546251831.784 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546251831.784 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.785 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.786 * [misc]backup-simplify: Simplify 0 into 0 1546251831.788 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251831.788 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251831.789 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1546251831.789 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251831.789 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1546251831.790 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.791 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.792 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1546251831.793 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251831.795 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1546251831.796 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.797 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.798 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546251831.800 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546251831.803 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1546251831.805 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1546251831.807 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546251831.810 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546251831.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251831.813 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546251831.815 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546251831.817 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251831.822 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251831.824 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251831.825 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546251831.832 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546251831.833 * [misc]backup-simplify: Simplify (/ (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2))) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1546251831.833 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1546251831.833 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1546251831.833 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251831.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.834 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.834 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.834 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of k in n 1546251831.834 * [misc]backup-simplify: Simplify k into k 1546251831.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.834 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.834 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.834 * [misc]backup-simplify: Simplify 2 into 2 1546251831.834 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.834 * [misc]backup-simplify: Simplify PI into PI 1546251831.834 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.835 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.835 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.836 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251831.836 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251831.836 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.836 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.837 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.837 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.837 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of k in n 1546251831.837 * [misc]backup-simplify: Simplify k into k 1546251831.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.837 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.837 * [misc]taylor: Taking taylor expansion of n in n 1546251831.837 * [misc]backup-simplify: Simplify 0 into 0 1546251831.837 * [misc]backup-simplify: Simplify 1 into 1 1546251831.837 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.837 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.838 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.838 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.838 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.838 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.838 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546251831.838 * [misc]taylor: Taking taylor expansion of k in n 1546251831.838 * [misc]backup-simplify: Simplify k into k 1546251831.838 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546251831.838 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546251831.839 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.839 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.839 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.839 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of k in k 1546251831.839 * [misc]backup-simplify: Simplify 0 into 0 1546251831.839 * [misc]backup-simplify: Simplify 1 into 1 1546251831.839 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.839 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.839 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.839 * [misc]backup-simplify: Simplify 2 into 2 1546251831.839 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.839 * [misc]backup-simplify: Simplify PI into PI 1546251831.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.840 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.840 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.841 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.841 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.842 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.842 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.842 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251831.842 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251831.842 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.842 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.842 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.842 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.842 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.842 * [misc]taylor: Taking taylor expansion of k in k 1546251831.842 * [misc]backup-simplify: Simplify 0 into 0 1546251831.842 * [misc]backup-simplify: Simplify 1 into 1 1546251831.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.843 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251831.843 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251831.843 * [misc]taylor: Taking taylor expansion of n in k 1546251831.843 * [misc]backup-simplify: Simplify n into n 1546251831.843 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251831.843 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251831.843 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.843 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.843 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251831.843 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251831.844 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of k in k 1546251831.844 * [misc]backup-simplify: Simplify 0 into 0 1546251831.844 * [misc]backup-simplify: Simplify 1 into 1 1546251831.844 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251831.844 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251831.844 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.845 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.845 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.845 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.845 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.845 * [misc]taylor: Taking taylor expansion of k in k 1546251831.845 * [misc]backup-simplify: Simplify 0 into 0 1546251831.845 * [misc]backup-simplify: Simplify 1 into 1 1546251831.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.845 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.845 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.845 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.845 * [misc]backup-simplify: Simplify 2 into 2 1546251831.845 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.845 * [misc]backup-simplify: Simplify PI into PI 1546251831.845 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.846 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.846 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.846 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.847 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251831.848 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251831.848 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251831.848 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251831.848 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251831.848 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251831.848 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.848 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251831.848 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.848 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251831.848 * [misc]taylor: Taking taylor expansion of k in k 1546251831.848 * [misc]backup-simplify: Simplify 0 into 0 1546251831.848 * [misc]backup-simplify: Simplify 1 into 1 1546251831.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.849 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251831.849 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251831.849 * [misc]taylor: Taking taylor expansion of n in k 1546251831.849 * [misc]backup-simplify: Simplify n into n 1546251831.849 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251831.849 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251831.849 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251831.849 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251831.849 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251831.849 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251831.850 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251831.850 * [misc]taylor: Taking taylor expansion of k in k 1546251831.850 * [misc]backup-simplify: Simplify 0 into 0 1546251831.850 * [misc]backup-simplify: Simplify 1 into 1 1546251831.850 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.850 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251831.851 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251831.851 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1546251831.851 * [misc]taylor: Taking taylor expansion of 0 in n 1546251831.851 * [misc]backup-simplify: Simplify 0 into 0 1546251831.851 * [misc]backup-simplify: Simplify 0 into 0 1546251831.852 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1546251831.853 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251831.853 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.853 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.853 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.853 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.853 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.853 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of k in n 1546251831.853 * [misc]backup-simplify: Simplify k into k 1546251831.853 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.853 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.853 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.853 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.854 * [misc]backup-simplify: Simplify 2 into 2 1546251831.854 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.854 * [misc]backup-simplify: Simplify PI into PI 1546251831.854 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.854 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.855 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.855 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.855 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251831.856 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251831.856 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.856 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.856 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.856 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.856 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.856 * [misc]taylor: Taking taylor expansion of k in n 1546251831.856 * [misc]backup-simplify: Simplify k into k 1546251831.856 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.856 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.857 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.857 * [misc]taylor: Taking taylor expansion of n in n 1546251831.857 * [misc]backup-simplify: Simplify 0 into 0 1546251831.857 * [misc]backup-simplify: Simplify 1 into 1 1546251831.857 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.857 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.857 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.857 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.858 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.858 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.858 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251831.859 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251831.860 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.860 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.860 * [misc]backup-simplify: Simplify 0 into 0 1546251831.862 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251831.862 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1546251831.863 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251831.863 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.863 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.863 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.863 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.863 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.863 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.863 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.864 * [misc]taylor: Taking taylor expansion of k in n 1546251831.864 * [misc]backup-simplify: Simplify k into k 1546251831.864 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.864 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.864 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.864 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.864 * [misc]backup-simplify: Simplify 2 into 2 1546251831.864 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.864 * [misc]backup-simplify: Simplify PI into PI 1546251831.864 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.865 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.865 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.865 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.865 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251831.866 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251831.866 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.866 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.866 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.866 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.866 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.866 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.866 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.866 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.866 * [misc]taylor: Taking taylor expansion of k in n 1546251831.866 * [misc]backup-simplify: Simplify k into k 1546251831.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.867 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.867 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.867 * [misc]taylor: Taking taylor expansion of n in n 1546251831.867 * [misc]backup-simplify: Simplify 0 into 0 1546251831.867 * [misc]backup-simplify: Simplify 1 into 1 1546251831.867 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.867 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.867 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.867 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.868 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.868 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.868 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251831.869 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251831.870 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.871 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251831.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251831.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251831.874 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251831.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.874 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.874 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251831.876 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.876 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.879 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.879 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251831.879 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251831.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.880 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1546251831.882 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.882 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1546251831.883 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1546251831.883 * [misc]backup-simplify: Simplify (- 0) into 0 1546251831.883 * [misc]backup-simplify: Simplify 0 into 0 1546251831.883 * [misc]backup-simplify: Simplify 0 into 0 1546251831.885 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251831.885 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1546251831.886 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1546251831.886 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.886 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.886 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251831.886 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.887 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.887 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.887 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.887 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.887 * [misc]taylor: Taking taylor expansion of k in n 1546251831.887 * [misc]backup-simplify: Simplify k into k 1546251831.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.887 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.887 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.887 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.887 * [misc]backup-simplify: Simplify 2 into 2 1546251831.887 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.887 * [misc]backup-simplify: Simplify PI into PI 1546251831.887 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.888 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.888 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.888 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.888 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251831.889 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251831.889 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251831.889 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251831.889 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251831.889 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251831.889 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251831.889 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251831.889 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.889 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251831.889 * [misc]taylor: Taking taylor expansion of k in n 1546251831.889 * [misc]backup-simplify: Simplify k into k 1546251831.889 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251831.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.890 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251831.890 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251831.890 * [misc]taylor: Taking taylor expansion of n in n 1546251831.890 * [misc]backup-simplify: Simplify 0 into 0 1546251831.890 * [misc]backup-simplify: Simplify 1 into 1 1546251831.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251831.890 * [misc]backup-simplify: Simplify (log 1) into 0 1546251831.890 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251831.890 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251831.890 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251831.891 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251831.891 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251831.891 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251831.892 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251831.893 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.893 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1546251831.896 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1546251831.897 * [misc]backup-simplify: Simplify (/ (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1546251831.897 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1546251831.897 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1546251831.897 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.897 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.898 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.898 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.898 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.898 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.898 * [misc]backup-simplify: Simplify -1 into -1 1546251831.898 * [misc]taylor: Taking taylor expansion of k in n 1546251831.898 * [misc]backup-simplify: Simplify k into k 1546251831.898 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.898 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.898 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.898 * [misc]backup-simplify: Simplify -1 into -1 1546251831.898 * [misc]taylor: Taking taylor expansion of n in n 1546251831.898 * [misc]backup-simplify: Simplify 0 into 0 1546251831.898 * [misc]backup-simplify: Simplify 1 into 1 1546251831.898 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.899 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.899 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.899 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.899 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.900 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.900 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.900 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.900 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251831.900 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251831.900 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.900 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.900 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.900 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.900 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.900 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.900 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.900 * [misc]backup-simplify: Simplify -1 into -1 1546251831.900 * [misc]taylor: Taking taylor expansion of k in n 1546251831.900 * [misc]backup-simplify: Simplify k into k 1546251831.900 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.900 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.900 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.901 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.901 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.901 * [misc]backup-simplify: Simplify 2 into 2 1546251831.901 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.901 * [misc]backup-simplify: Simplify PI into PI 1546251831.901 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.901 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.902 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.902 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.902 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251831.903 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251831.903 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546251831.903 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.903 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.903 * [misc]backup-simplify: Simplify -1 into -1 1546251831.903 * [misc]taylor: Taking taylor expansion of k in n 1546251831.903 * [misc]backup-simplify: Simplify k into k 1546251831.903 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.903 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546251831.903 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251831.903 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546251831.904 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251831.905 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1546251831.905 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.905 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.905 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.905 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.905 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.905 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.906 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.906 * [misc]backup-simplify: Simplify -1 into -1 1546251831.906 * [misc]taylor: Taking taylor expansion of k in k 1546251831.906 * [misc]backup-simplify: Simplify 0 into 0 1546251831.906 * [misc]backup-simplify: Simplify 1 into 1 1546251831.906 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.906 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251831.906 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251831.906 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.906 * [misc]backup-simplify: Simplify -1 into -1 1546251831.906 * [misc]taylor: Taking taylor expansion of n in k 1546251831.906 * [misc]backup-simplify: Simplify n into n 1546251831.906 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251831.906 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251831.906 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.907 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.907 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251831.907 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251831.907 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.907 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.907 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.907 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.907 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.907 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.907 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.907 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.907 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.907 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.907 * [misc]backup-simplify: Simplify -1 into -1 1546251831.907 * [misc]taylor: Taking taylor expansion of k in k 1546251831.907 * [misc]backup-simplify: Simplify 0 into 0 1546251831.907 * [misc]backup-simplify: Simplify 1 into 1 1546251831.907 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.908 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.908 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.908 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.908 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.908 * [misc]backup-simplify: Simplify 2 into 2 1546251831.908 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.908 * [misc]backup-simplify: Simplify PI into PI 1546251831.908 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.909 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.909 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.909 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.910 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.910 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251831.910 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.910 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.910 * [misc]backup-simplify: Simplify -1 into -1 1546251831.910 * [misc]taylor: Taking taylor expansion of k in k 1546251831.911 * [misc]backup-simplify: Simplify 0 into 0 1546251831.911 * [misc]backup-simplify: Simplify 1 into 1 1546251831.911 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.911 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.911 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251831.912 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251831.912 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251831.912 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.913 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.913 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.913 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.913 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.913 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.913 * [misc]backup-simplify: Simplify -1 into -1 1546251831.913 * [misc]taylor: Taking taylor expansion of k in k 1546251831.913 * [misc]backup-simplify: Simplify 0 into 0 1546251831.913 * [misc]backup-simplify: Simplify 1 into 1 1546251831.913 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.913 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251831.914 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251831.914 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.914 * [misc]backup-simplify: Simplify -1 into -1 1546251831.914 * [misc]taylor: Taking taylor expansion of n in k 1546251831.914 * [misc]backup-simplify: Simplify n into n 1546251831.914 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251831.914 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251831.914 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.914 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.914 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251831.915 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251831.915 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251831.915 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251831.915 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251831.915 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251831.915 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.915 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251831.915 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251831.915 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.915 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.915 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.915 * [misc]backup-simplify: Simplify -1 into -1 1546251831.915 * [misc]taylor: Taking taylor expansion of k in k 1546251831.915 * [misc]backup-simplify: Simplify 0 into 0 1546251831.915 * [misc]backup-simplify: Simplify 1 into 1 1546251831.915 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.915 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251831.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.916 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251831.916 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251831.916 * [misc]taylor: Taking taylor expansion of 2 in k 1546251831.916 * [misc]backup-simplify: Simplify 2 into 2 1546251831.916 * [misc]taylor: Taking taylor expansion of PI in k 1546251831.916 * [misc]backup-simplify: Simplify PI into PI 1546251831.916 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.917 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.917 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251831.917 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251831.918 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251831.918 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251831.919 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251831.919 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251831.919 * [misc]taylor: Taking taylor expansion of -1 in k 1546251831.919 * [misc]backup-simplify: Simplify -1 into -1 1546251831.919 * [misc]taylor: Taking taylor expansion of k in k 1546251831.919 * [misc]backup-simplify: Simplify 0 into 0 1546251831.919 * [misc]backup-simplify: Simplify 1 into 1 1546251831.919 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.919 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251831.919 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251831.920 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251831.920 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251831.921 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.921 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.921 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.921 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.921 * [misc]backup-simplify: Simplify -1 into -1 1546251831.921 * [misc]taylor: Taking taylor expansion of n in n 1546251831.921 * [misc]backup-simplify: Simplify 0 into 0 1546251831.921 * [misc]backup-simplify: Simplify 1 into 1 1546251831.921 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.921 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.921 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.921 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.922 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.922 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.922 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.922 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.922 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.922 * [misc]backup-simplify: Simplify -1 into -1 1546251831.922 * [misc]taylor: Taking taylor expansion of k in n 1546251831.922 * [misc]backup-simplify: Simplify k into k 1546251831.922 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.922 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.922 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.922 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.923 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.923 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.923 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.923 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251831.923 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251831.923 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.923 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.923 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.923 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.923 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.923 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.923 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.923 * [misc]backup-simplify: Simplify -1 into -1 1546251831.923 * [misc]taylor: Taking taylor expansion of k in n 1546251831.923 * [misc]backup-simplify: Simplify k into k 1546251831.924 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.924 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.924 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.924 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.924 * [misc]backup-simplify: Simplify 2 into 2 1546251831.924 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.924 * [misc]backup-simplify: Simplify PI into PI 1546251831.925 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.925 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.925 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.925 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.926 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251831.926 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251831.927 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251831.928 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251831.928 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251831.928 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1546251831.929 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251831.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251831.930 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1546251831.930 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.930 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.930 * [misc]backup-simplify: Simplify -1 into -1 1546251831.930 * [misc]taylor: Taking taylor expansion of n in n 1546251831.930 * [misc]backup-simplify: Simplify 0 into 0 1546251831.930 * [misc]backup-simplify: Simplify 1 into 1 1546251831.930 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.930 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.930 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.930 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.930 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.930 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.930 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.930 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.930 * [misc]backup-simplify: Simplify -1 into -1 1546251831.930 * [misc]taylor: Taking taylor expansion of k in n 1546251831.930 * [misc]backup-simplify: Simplify k into k 1546251831.930 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.931 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.931 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.931 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.931 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.931 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.931 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.931 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251831.931 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251831.931 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.931 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.931 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.931 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.931 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.931 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.932 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.932 * [misc]backup-simplify: Simplify -1 into -1 1546251831.932 * [misc]taylor: Taking taylor expansion of k in n 1546251831.932 * [misc]backup-simplify: Simplify k into k 1546251831.932 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.932 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.932 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.932 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.932 * [misc]backup-simplify: Simplify 2 into 2 1546251831.932 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.932 * [misc]backup-simplify: Simplify PI into PI 1546251831.932 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.932 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.932 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.933 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251831.933 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251831.934 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251831.934 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251831.935 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251831.935 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251831.936 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251831.937 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251831.937 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251831.937 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251831.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.938 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1546251831.939 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.939 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251831.939 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251831.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251831.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251831.942 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251831.943 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546251831.944 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251831.944 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546251831.945 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1546251831.945 * [misc]backup-simplify: Simplify 0 into 0 1546251831.945 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1546251831.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251831.946 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251831.947 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1546251831.947 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251831.947 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251831.947 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251831.947 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.947 * [misc]backup-simplify: Simplify -1 into -1 1546251831.947 * [misc]taylor: Taking taylor expansion of n in n 1546251831.947 * [misc]backup-simplify: Simplify 0 into 0 1546251831.947 * [misc]backup-simplify: Simplify 1 into 1 1546251831.947 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251831.947 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251831.948 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.948 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.948 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.948 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.948 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.948 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.948 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.948 * [misc]backup-simplify: Simplify -1 into -1 1546251831.948 * [misc]taylor: Taking taylor expansion of k in n 1546251831.948 * [misc]backup-simplify: Simplify k into k 1546251831.948 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251831.948 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.948 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.948 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251831.949 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251831.949 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251831.949 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251831.949 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251831.949 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251831.949 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of -1 in n 1546251831.949 * [misc]backup-simplify: Simplify -1 into -1 1546251831.949 * [misc]taylor: Taking taylor expansion of k in n 1546251831.949 * [misc]backup-simplify: Simplify k into k 1546251831.949 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251831.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251831.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251831.949 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251831.949 * [misc]taylor: Taking taylor expansion of 2 in n 1546251831.949 * [misc]backup-simplify: Simplify 2 into 2 1546251831.949 * [misc]taylor: Taking taylor expansion of PI in n 1546251831.949 * [misc]backup-simplify: Simplify PI into PI 1546251831.949 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251831.949 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251831.950 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251831.950 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251831.950 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251831.950 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251831.951 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251831.951 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251831.952 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251831.952 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1546251831.954 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1546251831.954 * * * [misc]progress: simplifying candidates 1546251831.954 * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # 1546251831.954 * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # 1546251831.954 * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # 1546251831.955 * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # 1546251831.955 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251831.955 * * [misc]simplify: iters left: 2 (5 enodes) 1546251831.956 * * [misc]simplify: iters left: 1 (7 enodes) 1546251831.958 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251831.958 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))))) (sqrt k))) 1546251831.958 * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # 1546251831.958 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251831.958 * * [misc]simplify: iters left: 2 (5 enodes) 1546251831.960 * * [misc]simplify: iters left: 1 (7 enodes) 1546251831.962 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251831.962 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))))) (sqrt k))) 1546251831.962 * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # 1546251831.962 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251831.962 * * [misc]simplify: iters left: 1 (4 enodes) 1546251831.964 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251831.964 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n 1) (fma -1/2 k 1/2)))) (sqrt k))) 1546251831.964 * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # 1546251831.964 * [enter]simplify: Simplifying (pow n 1/2) 1546251831.964 * * [misc]simplify: iters left: 1 (3 enodes) 1546251831.965 * [exit]simplify: Simplified to (sqrt n) 1546251831.965 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (* -1/2 k)) (sqrt n)))) (sqrt k))) 1546251831.965 * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # 1546251831.965 * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # 1546251831.965 * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # 1546251831.965 * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # 1546251831.965 * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # 1546251831.966 * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # 1546251831.966 * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # 1546251831.966 * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # 1546251831.966 * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # 1546251831.966 * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # 1546251831.966 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251831.966 * * [misc]simplify: iters left: 5 (9 enodes) 1546251831.970 * * [misc]simplify: iters left: 4 (16 enodes) 1546251831.975 * * [misc]simplify: iters left: 3 (31 enodes) 1546251831.987 * * [misc]simplify: iters left: 2 (72 enodes) 1546251832.006 * * [misc]simplify: iters left: 1 (184 enodes) 1546251832.105 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251832.106 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (exp (* (log (* 2 PI)) (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.106 * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # 1546251832.106 * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # 1546251832.106 * [enter]simplify: Simplifying (* 2 PI) 1546251832.106 * * [misc]simplify: iters left: 2 (3 enodes) 1546251832.107 * * [misc]simplify: iters left: 1 (4 enodes) 1546251832.109 * [exit]simplify: Simplified to (* 2 PI) 1546251832.109 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (* 1 (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.109 * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # 1546251832.109 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251832.109 * * [misc]simplify: iters left: 2 (5 enodes) 1546251832.110 * * [misc]simplify: iters left: 1 (7 enodes) 1546251832.113 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251832.113 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.113 * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # 1546251832.113 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251832.113 * * [misc]simplify: iters left: 2 (5 enodes) 1546251832.115 * * [misc]simplify: iters left: 1 (7 enodes) 1546251832.117 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251832.117 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.117 * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # 1546251832.117 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251832.117 * * [misc]simplify: iters left: 1 (4 enodes) 1546251832.118 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251832.118 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.119 * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # 1546251832.119 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1546251832.119 * * [misc]simplify: iters left: 3 (5 enodes) 1546251832.120 * * [misc]simplify: iters left: 2 (7 enodes) 1546251832.122 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1546251832.122 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.122 * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # 1546251832.123 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251832.123 * * [misc]simplify: iters left: 2 (6 enodes) 1546251832.124 * * [misc]simplify: iters left: 1 (8 enodes) 1546251832.127 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251832.127 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.127 * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # 1546251832.127 * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # 1546251832.128 * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # 1546251832.128 * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # 1546251832.128 * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # 1546251832.128 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251832.128 * * [misc]simplify: iters left: 5 (9 enodes) 1546251832.132 * * [misc]simplify: iters left: 4 (16 enodes) 1546251832.137 * * [misc]simplify: iters left: 3 (31 enodes) 1546251832.149 * * [misc]simplify: iters left: 2 (72 enodes) 1546251832.190 * * [misc]simplify: iters left: 1 (184 enodes) 1546251832.286 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251832.287 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (exp (* (log (* 2 PI)) (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.287 * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # 1546251832.287 * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # 1546251832.287 * [enter]simplify: Simplifying (* 2 PI) 1546251832.287 * * [misc]simplify: iters left: 2 (3 enodes) 1546251832.288 * * [misc]simplify: iters left: 1 (4 enodes) 1546251832.289 * [exit]simplify: Simplified to (* 2 PI) 1546251832.289 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (* 1 (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.289 * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # 1546251832.290 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251832.290 * * [misc]simplify: iters left: 2 (5 enodes) 1546251832.291 * * [misc]simplify: iters left: 1 (7 enodes) 1546251832.293 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251832.293 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.293 * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # 1546251832.294 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251832.294 * * [misc]simplify: iters left: 2 (5 enodes) 1546251832.295 * * [misc]simplify: iters left: 1 (7 enodes) 1546251832.297 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251832.297 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.297 * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # 1546251832.298 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251832.298 * * [misc]simplify: iters left: 1 (4 enodes) 1546251832.299 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251832.299 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.299 * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # 1546251832.299 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1546251832.299 * * [misc]simplify: iters left: 3 (5 enodes) 1546251832.301 * * [misc]simplify: iters left: 2 (7 enodes) 1546251832.302 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1546251832.303 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (sqrt (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.303 * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # 1546251832.303 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251832.303 * * [misc]simplify: iters left: 2 (6 enodes) 1546251832.304 * * [misc]simplify: iters left: 1 (8 enodes) 1546251832.305 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251832.305 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (sqrt (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251832.305 * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # 1546251832.305 * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # 1546251832.305 * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # 1546251832.305 * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # 1546251832.306 * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # 1546251832.306 * [enter]simplify: Simplifying (- (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2)))) (log (sqrt k))) 1546251832.306 * * [misc]simplify: iters left: 6 (18 enodes) 1546251832.311 * * [misc]simplify: iters left: 5 (30 enodes) 1546251832.315 * * [misc]simplify: iters left: 4 (55 enodes) 1546251832.326 * * [misc]simplify: iters left: 3 (122 enodes) 1546251832.360 * * [misc]simplify: iters left: 2 (259 enodes) 1546251832.443 * * [misc]simplify: iters left: 1 (480 enodes) 1546251832.664 * [exit]simplify: Simplified to (- (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))) 1546251832.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))))) 1546251832.664 * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # 1546251832.665 * [enter]simplify: Simplifying (- (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2))))) (log (sqrt k))) 1546251832.665 * * [misc]simplify: iters left: 6 (18 enodes) 1546251832.670 * * [misc]simplify: iters left: 5 (31 enodes) 1546251832.680 * * [misc]simplify: iters left: 4 (50 enodes) 1546251832.698 * * [misc]simplify: iters left: 3 (92 enodes) 1546251832.743 * * [misc]simplify: iters left: 2 (213 enodes) 1546251832.850 * [exit]simplify: Simplified to (+ (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (sqrt k)))) 1546251832.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (sqrt k)))))) 1546251832.850 * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # 1546251832.850 * [enter]simplify: Simplifying (- (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (log (sqrt k))) 1546251832.851 * * [misc]simplify: iters left: 6 (18 enodes) 1546251832.856 * * [misc]simplify: iters left: 5 (29 enodes) 1546251832.865 * * [misc]simplify: iters left: 4 (47 enodes) 1546251832.880 * * [misc]simplify: iters left: 3 (74 enodes) 1546251832.904 * * [misc]simplify: iters left: 2 (101 enodes) 1546251832.926 * * [misc]simplify: iters left: 1 (193 enodes) 1546251832.993 * [exit]simplify: Simplified to (+ (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (sqrt k)))) 1546251832.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (- (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (sqrt k)))))) 1546251832.993 * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # 1546251832.994 * [enter]simplify: Simplifying (- (log (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (log (sqrt k))) 1546251832.994 * * [misc]simplify: iters left: 6 (17 enodes) 1546251832.996 * * [misc]simplify: iters left: 5 (29 enodes) 1546251833.001 * * [misc]simplify: iters left: 4 (41 enodes) 1546251833.006 * * [misc]simplify: iters left: 3 (65 enodes) 1546251833.018 * * [misc]simplify: iters left: 2 (99 enodes) 1546251833.049 * * [misc]simplify: iters left: 1 (140 enodes) 1546251833.113 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1546251833.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1546251833.114 * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # 1546251833.114 * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # 1546251833.114 * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # 1546251833.114 * [enter]simplify: Simplifying (/ (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251833.114 * * [misc]simplify: iters left: 6 (21 enodes) 1546251833.118 * * [misc]simplify: iters left: 5 (44 enodes) 1546251833.128 * * [misc]simplify: iters left: 4 (175 enodes) 1546251833.255 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1546251833.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1546251833.255 * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # 1546251833.255 * [enter]simplify: Simplifying (/ (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251833.255 * * [misc]simplify: iters left: 6 (21 enodes) 1546251833.259 * * [misc]simplify: iters left: 5 (46 enodes) 1546251833.268 * * [misc]simplify: iters left: 4 (165 enodes) 1546251833.393 * [exit]simplify: Simplified to (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (* k (sqrt k))) 1546251833.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (* k (sqrt k))))) 1546251833.394 * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # 1546251833.394 * [enter]simplify: Simplifying (/ (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546251833.394 * * [misc]simplify: iters left: 6 (19 enodes) 1546251833.401 * * [misc]simplify: iters left: 5 (41 enodes) 1546251833.417 * * [misc]simplify: iters left: 4 (135 enodes) 1546251833.529 * [exit]simplify: Simplified to (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2))))) 1546251833.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1546251833.529 * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # 1546251833.529 * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # 1546251833.530 * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # 1546251833.530 * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # 1546251833.530 * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # 1546251833.530 * [enter]simplify: Simplifying (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251833.530 * * [misc]simplify: iters left: 6 (13 enodes) 1546251833.532 * * [misc]simplify: iters left: 5 (18 enodes) 1546251833.535 * * [misc]simplify: iters left: 4 (20 enodes) 1546251833.537 * * [misc]simplify: iters left: 3 (21 enodes) 1546251833.540 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546251833.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))))) 1546251833.541 * [enter]simplify: Simplifying (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1546251833.541 * * [misc]simplify: iters left: 6 (15 enodes) 1546251833.543 * * [misc]simplify: iters left: 5 (21 enodes) 1546251833.546 * * [misc]simplify: iters left: 4 (25 enodes) 1546251833.549 * * [misc]simplify: iters left: 3 (29 enodes) 1546251833.553 * * [misc]simplify: iters left: 2 (31 enodes) 1546251833.557 * * [misc]simplify: iters left: 1 (32 enodes) 1546251833.566 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))) 1546251833.566 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1546251833.566 * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # 1546251833.566 * [enter]simplify: Simplifying (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1546251833.567 * * [misc]simplify: iters left: 6 (12 enodes) 1546251833.570 * * [misc]simplify: iters left: 5 (15 enodes) 1546251833.573 * * [misc]simplify: iters left: 4 (17 enodes) 1546251833.575 * * [misc]simplify: iters left: 3 (18 enodes) 1546251833.577 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1546251833.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))))) 1546251833.577 * [enter]simplify: Simplifying (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1546251833.577 * * [misc]simplify: iters left: 6 (15 enodes) 1546251833.580 * * [misc]simplify: iters left: 5 (21 enodes) 1546251833.582 * * [misc]simplify: iters left: 4 (25 enodes) 1546251833.586 * * [misc]simplify: iters left: 3 (29 enodes) 1546251833.589 * * [misc]simplify: iters left: 2 (31 enodes) 1546251833.593 * * [misc]simplify: iters left: 1 (32 enodes) 1546251833.597 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))) 1546251833.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1546251833.598 * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # 1546251833.598 * [enter]simplify: Simplifying (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1) 1546251833.598 * * [misc]simplify: iters left: 6 (11 enodes) 1546251833.600 * * [misc]simplify: iters left: 5 (16 enodes) 1546251833.605 * * [misc]simplify: iters left: 4 (20 enodes) 1546251833.610 * * [misc]simplify: iters left: 3 (21 enodes) 1546251833.615 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251833.615 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k)))) 1546251833.616 * [enter]simplify: Simplifying (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k)) 1546251833.616 * * [misc]simplify: iters left: 6 (14 enodes) 1546251833.620 * * [misc]simplify: iters left: 5 (20 enodes) 1546251833.625 * * [misc]simplify: iters left: 4 (24 enodes) 1546251833.632 * * [misc]simplify: iters left: 3 (28 enodes) 1546251833.639 * * [misc]simplify: iters left: 2 (30 enodes) 1546251833.647 * * [misc]simplify: iters left: 1 (31 enodes) 1546251833.655 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))) 1546251833.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2)))))) 1546251833.655 * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # 1546251833.655 * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # 1546251833.655 * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # 1546251833.655 * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # 1546251833.656 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546251833.656 * * [misc]simplify: iters left: 2 (3 enodes) 1546251833.657 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546251833.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1546251833.657 * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # 1546251833.657 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546251833.657 * * [misc]simplify: iters left: 2 (3 enodes) 1546251833.658 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546251833.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546251833.658 * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # 1546251833.658 * [enter]simplify: Simplifying (sqrt k) 1546251833.658 * * [misc]simplify: iters left: 1 (2 enodes) 1546251833.659 * [exit]simplify: Simplified to (sqrt k) 1546251833.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1) (sqrt k))) 1546251833.659 * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # 1546251833.659 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251833.660 * * [misc]simplify: iters left: 4 (9 enodes) 1546251833.662 * * [misc]simplify: iters left: 3 (12 enodes) 1546251833.665 * * [misc]simplify: iters left: 2 (14 enodes) 1546251833.669 * * [misc]simplify: iters left: 1 (15 enodes) 1546251833.673 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1546251833.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251833.673 * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # 1546251833.673 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251833.674 * * [misc]simplify: iters left: 6 (18 enodes) 1546251833.680 * * [misc]simplify: iters left: 5 (39 enodes) 1546251833.690 * * [misc]simplify: iters left: 4 (119 enodes) 1546251833.728 * * [misc]simplify: iters left: 3 (334 enodes) 1546251833.901 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1546251833.901 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))))) (sqrt k))) 1546251833.901 * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # 1546251833.902 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251833.902 * * [misc]simplify: iters left: 6 (12 enodes) 1546251833.908 * * [misc]simplify: iters left: 5 (28 enodes) 1546251833.915 * * [misc]simplify: iters left: 4 (67 enodes) 1546251833.932 * * [misc]simplify: iters left: 3 (180 enodes) 1546251834.077 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1546251834.077 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251834.077 * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # 1546251834.078 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251834.078 * * [misc]simplify: iters left: 6 (12 enodes) 1546251834.082 * * [misc]simplify: iters left: 5 (22 enodes) 1546251834.090 * * [misc]simplify: iters left: 4 (52 enodes) 1546251834.115 * * [misc]simplify: iters left: 3 (149 enodes) 1546251834.207 * * [misc]simplify: iters left: 2 (453 enodes) 1546251834.984 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1546251834.984 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma k -1/2 1/2)))) (sqrt k))) 1546251834.985 * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # 1546251834.985 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251834.985 * * [misc]simplify: iters left: 6 (22 enodes) 1546251834.994 * * [misc]simplify: iters left: 5 (55 enodes) 1546251835.011 * * [misc]simplify: iters left: 4 (175 enodes) 1546251835.123 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1546251835.123 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2))))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.123 * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # 1546251835.123 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.123 * * [misc]simplify: iters left: 3 (8 enodes) 1546251835.124 * * [misc]simplify: iters left: 2 (11 enodes) 1546251835.126 * * [misc]simplify: iters left: 1 (13 enodes) 1546251835.128 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.128 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.128 * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # 1546251835.128 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.128 * * [misc]simplify: iters left: 3 (8 enodes) 1546251835.129 * * [misc]simplify: iters left: 2 (11 enodes) 1546251835.130 * * [misc]simplify: iters left: 1 (13 enodes) 1546251835.132 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.132 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.132 * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # 1546251835.132 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251835.133 * * [misc]simplify: iters left: 6 (22 enodes) 1546251835.137 * * [misc]simplify: iters left: 5 (55 enodes) 1546251835.148 * * [misc]simplify: iters left: 4 (175 enodes) 1546251835.221 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1546251835.221 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2))))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.221 * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # 1546251835.221 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.221 * * [misc]simplify: iters left: 3 (8 enodes) 1546251835.222 * * [misc]simplify: iters left: 2 (11 enodes) 1546251835.224 * * [misc]simplify: iters left: 1 (13 enodes) 1546251835.225 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.225 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.225 * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # 1546251835.225 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.225 * * [misc]simplify: iters left: 3 (8 enodes) 1546251835.227 * * [misc]simplify: iters left: 2 (11 enodes) 1546251835.228 * * [misc]simplify: iters left: 1 (13 enodes) 1546251835.230 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251835.230 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1546251835.230 * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # 1546251835.230 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546251835.230 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251835.230 * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # 1546251835.230 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1546251835.230 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251835.230 * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # 1546251835.230 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1546251835.230 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546251835.230 * * * [misc]progress: adding candidates to table 1546251836.894 * * [misc]progress: iteration 4 / 4 1546251836.894 * * * [misc]progress: picking best candidate 1546251836.938 * * * * [misc]pick: Picked # 1546251836.938 * * * [misc]progress: localizing error 1546251836.946 * * * [misc]progress: generating rewritten candidates 1546251836.946 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 2) 1546251836.948 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1546251836.951 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1546251836.953 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1546251836.979 * * * [misc]progress: generating series expansions 1546251836.979 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 2) 1546251836.979 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1546251836.979 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1546251836.979 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251836.979 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251836.979 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251836.979 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251836.979 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251836.979 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251836.979 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251836.979 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.979 * [misc]taylor: Taking taylor expansion of k in k 1546251836.979 * [misc]backup-simplify: Simplify 0 into 0 1546251836.979 * [misc]backup-simplify: Simplify 1 into 1 1546251836.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.979 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251836.979 * [misc]taylor: Taking taylor expansion of n in k 1546251836.979 * [misc]backup-simplify: Simplify n into n 1546251836.979 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251836.980 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251836.980 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251836.980 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251836.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251836.980 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251836.980 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251836.980 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251836.980 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251836.980 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251836.980 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251836.980 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251836.980 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.980 * [misc]taylor: Taking taylor expansion of k in n 1546251836.980 * [misc]backup-simplify: Simplify k into k 1546251836.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251836.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.980 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251836.980 * [misc]taylor: Taking taylor expansion of n in n 1546251836.980 * [misc]backup-simplify: Simplify 0 into 0 1546251836.980 * [misc]backup-simplify: Simplify 1 into 1 1546251836.981 * [misc]backup-simplify: Simplify (log 1) into 0 1546251836.981 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251836.981 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251836.981 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251836.981 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251836.981 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251836.981 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251836.981 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251836.981 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251836.981 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251836.981 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251836.981 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251836.981 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251836.981 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.981 * [misc]taylor: Taking taylor expansion of k in n 1546251836.981 * [misc]backup-simplify: Simplify k into k 1546251836.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251836.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.981 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251836.981 * [misc]taylor: Taking taylor expansion of n in n 1546251836.981 * [misc]backup-simplify: Simplify 0 into 0 1546251836.981 * [misc]backup-simplify: Simplify 1 into 1 1546251836.981 * [misc]backup-simplify: Simplify (log 1) into 0 1546251836.981 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251836.981 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251836.982 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251836.982 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251836.982 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251836.982 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.982 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.982 * [misc]taylor: Taking taylor expansion of k in k 1546251836.982 * [misc]backup-simplify: Simplify 0 into 0 1546251836.982 * [misc]backup-simplify: Simplify 1 into 1 1546251836.982 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251836.982 * [misc]taylor: Taking taylor expansion of n in k 1546251836.982 * [misc]backup-simplify: Simplify n into n 1546251836.982 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251836.982 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546251836.982 * [misc]backup-simplify: Simplify (- 0) into 0 1546251836.983 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251836.983 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251836.983 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251836.983 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1546251836.984 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251836.984 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1546251836.985 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251836.985 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251836.985 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1546251836.986 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251836.986 * [misc]taylor: Taking taylor expansion of 0 in k 1546251836.986 * [misc]backup-simplify: Simplify 0 into 0 1546251836.986 * [misc]backup-simplify: Simplify 0 into 0 1546251836.986 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251836.986 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546251836.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251836.987 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251836.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251836.987 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251836.987 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1546251836.990 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251836.990 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546251836.990 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251836.990 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251836.990 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1546251836.992 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251836.992 * [misc]taylor: Taking taylor expansion of 0 in k 1546251836.992 * [misc]backup-simplify: Simplify 0 into 0 1546251836.992 * [misc]backup-simplify: Simplify 0 into 0 1546251836.992 * [misc]backup-simplify: Simplify 0 into 0 1546251836.993 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251836.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251836.993 * [misc]backup-simplify: Simplify (- 0) into 0 1546251836.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251836.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251836.994 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251836.994 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251836.994 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251836.995 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251836.995 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1546251836.995 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251836.995 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251836.995 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251836.995 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of k in k 1546251836.995 * [misc]backup-simplify: Simplify 0 into 0 1546251836.995 * [misc]backup-simplify: Simplify 1 into 1 1546251836.995 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251836.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.995 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251836.995 * [misc]taylor: Taking taylor expansion of n in k 1546251836.995 * [misc]backup-simplify: Simplify n into n 1546251836.995 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251836.995 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251836.995 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251836.995 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251836.995 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251836.995 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251836.996 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251836.996 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251836.996 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251836.996 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of k in n 1546251836.996 * [misc]backup-simplify: Simplify k into k 1546251836.996 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251836.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251836.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.996 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251836.996 * [misc]taylor: Taking taylor expansion of n in n 1546251836.996 * [misc]backup-simplify: Simplify 0 into 0 1546251836.996 * [misc]backup-simplify: Simplify 1 into 1 1546251836.996 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251836.996 * [misc]backup-simplify: Simplify (log 1) into 0 1546251836.996 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251836.996 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251836.996 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251836.996 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251836.997 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251836.997 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251836.997 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251836.997 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251836.997 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251836.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of k in n 1546251836.997 * [misc]backup-simplify: Simplify k into k 1546251836.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251836.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251836.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.997 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251836.997 * [misc]taylor: Taking taylor expansion of n in n 1546251836.997 * [misc]backup-simplify: Simplify 0 into 0 1546251836.997 * [misc]backup-simplify: Simplify 1 into 1 1546251836.997 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251836.997 * [misc]backup-simplify: Simplify (log 1) into 0 1546251836.997 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251836.997 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251836.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251836.998 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251836.998 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251836.998 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of -1 in k 1546251836.998 * [misc]backup-simplify: Simplify -1 into -1 1546251836.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251836.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251836.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of k in k 1546251836.998 * [misc]backup-simplify: Simplify 0 into 0 1546251836.998 * [misc]backup-simplify: Simplify 1 into 1 1546251836.998 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251836.998 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251836.998 * [misc]taylor: Taking taylor expansion of n in k 1546251836.998 * [misc]backup-simplify: Simplify n into n 1546251836.998 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251836.998 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251836.998 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546251836.999 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546251836.999 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1546251836.999 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1546251836.999 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251836.999 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251836.999 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251837.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251837.001 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251837.001 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251837.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.001 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251837.002 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.002 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.002 * [misc]backup-simplify: Simplify 0 into 0 1546251837.002 * [misc]backup-simplify: Simplify 0 into 0 1546251837.002 * [misc]backup-simplify: Simplify 0 into 0 1546251837.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.006 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546251837.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251837.007 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546251837.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.007 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.008 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1546251837.009 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251837.009 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.009 * [misc]backup-simplify: Simplify 0 into 0 1546251837.009 * [misc]backup-simplify: Simplify 0 into 0 1546251837.009 * [misc]backup-simplify: Simplify 0 into 0 1546251837.009 * [misc]backup-simplify: Simplify 0 into 0 1546251837.009 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.013 * [misc]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 1546251837.013 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251837.014 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546251837.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.014 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.014 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1546251837.016 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251837.016 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.016 * [misc]backup-simplify: Simplify 0 into 0 1546251837.017 * [misc]backup-simplify: Simplify 0 into 0 1546251837.017 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251837.017 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1546251837.017 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1546251837.017 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.017 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.017 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.017 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.017 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.017 * [misc]backup-simplify: Simplify -1 into -1 1546251837.017 * [misc]taylor: Taking taylor expansion of k in k 1546251837.017 * [misc]backup-simplify: Simplify 0 into 0 1546251837.017 * [misc]backup-simplify: Simplify 1 into 1 1546251837.017 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.017 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251837.017 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.017 * [misc]backup-simplify: Simplify -1 into -1 1546251837.017 * [misc]taylor: Taking taylor expansion of n in k 1546251837.017 * [misc]backup-simplify: Simplify n into n 1546251837.017 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251837.017 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251837.018 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.018 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.018 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251837.018 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251837.018 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.018 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.018 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.018 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.018 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.018 * [misc]backup-simplify: Simplify -1 into -1 1546251837.018 * [misc]taylor: Taking taylor expansion of k in n 1546251837.018 * [misc]backup-simplify: Simplify k into k 1546251837.018 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.018 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.018 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.018 * [misc]backup-simplify: Simplify -1 into -1 1546251837.018 * [misc]taylor: Taking taylor expansion of n in n 1546251837.018 * [misc]backup-simplify: Simplify 0 into 0 1546251837.018 * [misc]backup-simplify: Simplify 1 into 1 1546251837.018 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.018 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.019 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.019 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.019 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.019 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.019 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.019 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251837.019 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251837.019 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.019 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.019 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.019 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.019 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.019 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.019 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.019 * [misc]backup-simplify: Simplify -1 into -1 1546251837.019 * [misc]taylor: Taking taylor expansion of k in n 1546251837.019 * [misc]backup-simplify: Simplify k into k 1546251837.020 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.020 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.020 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.020 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.020 * [misc]backup-simplify: Simplify -1 into -1 1546251837.020 * [misc]taylor: Taking taylor expansion of n in n 1546251837.020 * [misc]backup-simplify: Simplify 0 into 0 1546251837.020 * [misc]backup-simplify: Simplify 1 into 1 1546251837.020 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.020 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.020 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.020 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.020 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.021 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.021 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of k in k 1546251837.021 * [misc]backup-simplify: Simplify 0 into 0 1546251837.021 * [misc]backup-simplify: Simplify 1 into 1 1546251837.021 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.021 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of (log -1) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.021 * [misc]backup-simplify: Simplify -1 into -1 1546251837.021 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.021 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251837.021 * [misc]taylor: Taking taylor expansion of n in k 1546251837.021 * [misc]backup-simplify: Simplify n into n 1546251837.021 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251837.021 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546251837.022 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.022 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546251837.022 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1546251837.022 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1546251837.022 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.022 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.022 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251837.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251837.024 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251837.024 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251837.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.025 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1546251837.026 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.026 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.026 * [misc]backup-simplify: Simplify 0 into 0 1546251837.026 * [misc]backup-simplify: Simplify 0 into 0 1546251837.026 * [misc]backup-simplify: Simplify 0 into 0 1546251837.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.029 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1546251837.029 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251837.029 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1546251837.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.030 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.030 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1546251837.031 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546251837.031 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.031 * [misc]backup-simplify: Simplify 0 into 0 1546251837.031 * [misc]backup-simplify: Simplify 0 into 0 1546251837.032 * [misc]backup-simplify: Simplify 0 into 0 1546251837.032 * [misc]backup-simplify: Simplify 0 into 0 1546251837.032 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.038 * [misc]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 1546251837.038 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546251837.039 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1546251837.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.039 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.040 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1546251837.042 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546251837.042 * [misc]taylor: Taking taylor expansion of 0 in k 1546251837.042 * [misc]backup-simplify: Simplify 0 into 0 1546251837.042 * [misc]backup-simplify: Simplify 0 into 0 1546251837.042 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251837.042 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1546251837.042 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.042 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1546251837.042 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.042 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.043 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.043 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.043 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.043 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.043 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.043 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.043 * [misc]taylor: Taking taylor expansion of k in k 1546251837.043 * [misc]backup-simplify: Simplify 0 into 0 1546251837.043 * [misc]backup-simplify: Simplify 1 into 1 1546251837.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.043 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.043 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.043 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.043 * [misc]backup-simplify: Simplify 2 into 2 1546251837.043 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.043 * [misc]backup-simplify: Simplify PI into PI 1546251837.043 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.043 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.043 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.044 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.044 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.045 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.045 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.045 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.045 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.045 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.045 * [misc]taylor: Taking taylor expansion of k in k 1546251837.045 * [misc]backup-simplify: Simplify 0 into 0 1546251837.045 * [misc]backup-simplify: Simplify 1 into 1 1546251837.045 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.045 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.045 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.045 * [misc]backup-simplify: Simplify 2 into 2 1546251837.045 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.045 * [misc]backup-simplify: Simplify PI into PI 1546251837.045 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.045 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.046 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.046 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.046 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.047 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.047 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1546251837.048 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.049 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.049 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251837.050 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.050 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251837.054 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251837.056 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1546251837.057 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251837.062 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251837.063 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251837.063 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251837.070 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251837.072 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1546251837.077 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251837.078 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.078 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1546251837.078 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.078 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.078 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.078 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.078 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.078 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.078 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.078 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.078 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.078 * [misc]taylor: Taking taylor expansion of k in k 1546251837.079 * [misc]backup-simplify: Simplify 0 into 0 1546251837.079 * [misc]backup-simplify: Simplify 1 into 1 1546251837.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.079 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.079 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.079 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.079 * [misc]backup-simplify: Simplify 2 into 2 1546251837.079 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.079 * [misc]backup-simplify: Simplify PI into PI 1546251837.079 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.080 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.080 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.080 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.081 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.081 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.081 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.081 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.081 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.081 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.082 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.082 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.082 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.082 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.082 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.082 * [misc]taylor: Taking taylor expansion of k in k 1546251837.082 * [misc]backup-simplify: Simplify 0 into 0 1546251837.082 * [misc]backup-simplify: Simplify 1 into 1 1546251837.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.082 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.082 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.082 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.082 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.082 * [misc]backup-simplify: Simplify 2 into 2 1546251837.082 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.082 * [misc]backup-simplify: Simplify PI into PI 1546251837.083 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.083 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.084 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.084 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.084 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.085 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.085 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify 0 into 0 1546251837.086 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.087 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.087 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1546251837.087 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.087 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.087 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.087 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.087 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.087 * [misc]backup-simplify: Simplify -1 into -1 1546251837.087 * [misc]taylor: Taking taylor expansion of k in k 1546251837.087 * [misc]backup-simplify: Simplify 0 into 0 1546251837.087 * [misc]backup-simplify: Simplify 1 into 1 1546251837.087 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.087 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.087 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.088 * [misc]backup-simplify: Simplify 2 into 2 1546251837.088 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.088 * [misc]backup-simplify: Simplify PI into PI 1546251837.088 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.088 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.088 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.089 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.089 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.090 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.090 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.090 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.090 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.090 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.090 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.090 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.090 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.090 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.090 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.090 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.090 * [misc]backup-simplify: Simplify -1 into -1 1546251837.090 * [misc]taylor: Taking taylor expansion of k in k 1546251837.090 * [misc]backup-simplify: Simplify 0 into 0 1546251837.091 * [misc]backup-simplify: Simplify 1 into 1 1546251837.091 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.091 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.091 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.091 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.091 * [misc]backup-simplify: Simplify 2 into 2 1546251837.091 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.091 * [misc]backup-simplify: Simplify PI into PI 1546251837.091 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.092 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.092 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.092 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.093 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.093 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.094 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify 0 into 0 1546251837.094 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.094 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1) 1546251837.095 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.095 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1546251837.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.095 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.095 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.095 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.095 * [misc]taylor: Taking taylor expansion of k in k 1546251837.095 * [misc]backup-simplify: Simplify 0 into 0 1546251837.095 * [misc]backup-simplify: Simplify 1 into 1 1546251837.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.095 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.095 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.095 * [misc]backup-simplify: Simplify 2 into 2 1546251837.096 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.096 * [misc]backup-simplify: Simplify PI into PI 1546251837.096 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.096 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.096 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.097 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.097 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.098 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.098 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.098 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.098 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.099 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.099 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.099 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.099 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.099 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.099 * [misc]taylor: Taking taylor expansion of k in k 1546251837.099 * [misc]backup-simplify: Simplify 0 into 0 1546251837.099 * [misc]backup-simplify: Simplify 1 into 1 1546251837.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.099 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.099 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.099 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.099 * [misc]backup-simplify: Simplify 2 into 2 1546251837.099 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.099 * [misc]backup-simplify: Simplify PI into PI 1546251837.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.100 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.100 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.100 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.101 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.102 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.103 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1546251837.103 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.106 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.106 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251837.107 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251837.112 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251837.114 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1546251837.115 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251837.120 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251837.121 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251837.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251837.128 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251837.130 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1546251837.135 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251837.136 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.136 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1546251837.136 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.136 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.136 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.136 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.136 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.136 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.136 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.136 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.137 * [misc]taylor: Taking taylor expansion of k in k 1546251837.137 * [misc]backup-simplify: Simplify 0 into 0 1546251837.137 * [misc]backup-simplify: Simplify 1 into 1 1546251837.137 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.137 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.137 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.137 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.137 * [misc]backup-simplify: Simplify 2 into 2 1546251837.137 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.137 * [misc]backup-simplify: Simplify PI into PI 1546251837.137 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.138 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.138 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.138 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.139 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.139 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.140 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.140 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.140 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.140 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of k in k 1546251837.140 * [misc]backup-simplify: Simplify 0 into 0 1546251837.140 * [misc]backup-simplify: Simplify 1 into 1 1546251837.140 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.140 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.140 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.140 * [misc]backup-simplify: Simplify 2 into 2 1546251837.140 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.140 * [misc]backup-simplify: Simplify PI into PI 1546251837.141 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.141 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.141 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.141 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.142 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.143 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.143 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.143 * [misc]backup-simplify: Simplify 0 into 0 1546251837.144 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.144 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.144 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1546251837.144 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.144 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.144 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.144 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.144 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.144 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.144 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.144 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.144 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.145 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.145 * [misc]backup-simplify: Simplify -1 into -1 1546251837.145 * [misc]taylor: Taking taylor expansion of k in k 1546251837.145 * [misc]backup-simplify: Simplify 0 into 0 1546251837.145 * [misc]backup-simplify: Simplify 1 into 1 1546251837.145 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.145 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.145 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.145 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.145 * [misc]backup-simplify: Simplify 2 into 2 1546251837.145 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.145 * [misc]backup-simplify: Simplify PI into PI 1546251837.145 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.146 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.146 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.147 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.147 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.147 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.147 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.148 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.148 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.148 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.148 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.148 * [misc]backup-simplify: Simplify -1 into -1 1546251837.148 * [misc]taylor: Taking taylor expansion of k in k 1546251837.148 * [misc]backup-simplify: Simplify 0 into 0 1546251837.148 * [misc]backup-simplify: Simplify 1 into 1 1546251837.148 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.148 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.148 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.148 * [misc]backup-simplify: Simplify 2 into 2 1546251837.148 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.148 * [misc]backup-simplify: Simplify PI into PI 1546251837.149 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.149 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.149 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.149 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.150 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.151 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.151 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.151 * [misc]backup-simplify: Simplify 0 into 0 1546251837.152 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251837.152 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1546251837.153 * [misc]backup-simplify: Simplify (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) into (* (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k)) 1546251837.153 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k)) in (k n) around 0 1546251837.153 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k)) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251837.153 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.153 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251837.153 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.153 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.153 * [misc]taylor: Taking taylor expansion of k in n 1546251837.153 * [misc]backup-simplify: Simplify k into k 1546251837.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.153 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.154 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.154 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.154 * [misc]backup-simplify: Simplify 2 into 2 1546251837.154 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.154 * [misc]backup-simplify: Simplify PI into PI 1546251837.154 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.154 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.154 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251837.155 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251837.155 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1546251837.156 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1546251837.156 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1546251837.156 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1546251837.156 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1546251837.156 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1546251837.156 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.156 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1546251837.156 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.156 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.156 * [misc]taylor: Taking taylor expansion of k in n 1546251837.156 * [misc]backup-simplify: Simplify k into k 1546251837.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.156 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251837.156 * [misc]taylor: Taking taylor expansion of n in n 1546251837.156 * [misc]backup-simplify: Simplify 0 into 0 1546251837.156 * [misc]backup-simplify: Simplify 1 into 1 1546251837.156 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.156 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1546251837.156 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1546251837.157 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251837.157 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1546251837.157 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1546251837.157 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1546251837.158 * [misc]backup-simplify: Simplify (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))) into (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))) 1546251837.158 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546251837.158 * [misc]taylor: Taking taylor expansion of k in n 1546251837.158 * [misc]backup-simplify: Simplify k into k 1546251837.158 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546251837.158 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546251837.158 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k)) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.158 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.158 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.158 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.159 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.159 * [misc]taylor: Taking taylor expansion of k in k 1546251837.159 * [misc]backup-simplify: Simplify 0 into 0 1546251837.159 * [misc]backup-simplify: Simplify 1 into 1 1546251837.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.159 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.159 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.159 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.159 * [misc]backup-simplify: Simplify 2 into 2 1546251837.159 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.159 * [misc]backup-simplify: Simplify PI into PI 1546251837.159 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.160 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.160 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.160 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.161 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.162 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.162 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251837.162 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251837.162 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251837.162 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.162 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.162 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.162 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.162 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.162 * [misc]taylor: Taking taylor expansion of k in k 1546251837.162 * [misc]backup-simplify: Simplify 0 into 0 1546251837.162 * [misc]backup-simplify: Simplify 1 into 1 1546251837.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.162 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251837.162 * [misc]taylor: Taking taylor expansion of n in k 1546251837.162 * [misc]backup-simplify: Simplify n into n 1546251837.162 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251837.163 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.163 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.163 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251837.163 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251837.164 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) 1/2) (pow n 1/2)) into (sqrt (* PI (* n 2))) 1546251837.164 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1546251837.164 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251837.164 * [misc]taylor: Taking taylor expansion of k in k 1546251837.164 * [misc]backup-simplify: Simplify 0 into 0 1546251837.164 * [misc]backup-simplify: Simplify 1 into 1 1546251837.164 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.164 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251837.165 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k)) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.165 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.165 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.165 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.165 * [misc]taylor: Taking taylor expansion of k in k 1546251837.165 * [misc]backup-simplify: Simplify 0 into 0 1546251837.165 * [misc]backup-simplify: Simplify 1 into 1 1546251837.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.165 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.165 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.165 * [misc]backup-simplify: Simplify 2 into 2 1546251837.165 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.165 * [misc]backup-simplify: Simplify PI into PI 1546251837.165 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.166 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.166 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.166 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.167 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.168 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1546251837.168 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1546251837.168 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1546251837.168 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1546251837.168 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1546251837.168 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1546251837.168 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1546251837.168 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.168 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.168 * [misc]taylor: Taking taylor expansion of k in k 1546251837.168 * [misc]backup-simplify: Simplify 0 into 0 1546251837.168 * [misc]backup-simplify: Simplify 1 into 1 1546251837.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.169 * [misc]taylor: Taking taylor expansion of (log n) in k 1546251837.169 * [misc]taylor: Taking taylor expansion of n in k 1546251837.169 * [misc]backup-simplify: Simplify n into n 1546251837.169 * [misc]backup-simplify: Simplify (log n) into (log n) 1546251837.169 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1546251837.169 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1546251837.169 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1546251837.169 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1546251837.170 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) 1/2) (pow n 1/2)) into (sqrt (* PI (* n 2))) 1546251837.170 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1546251837.170 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546251837.170 * [misc]taylor: Taking taylor expansion of k in k 1546251837.170 * [misc]backup-simplify: Simplify 0 into 0 1546251837.170 * [misc]backup-simplify: Simplify 1 into 1 1546251837.170 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.171 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251837.171 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1546251837.171 * [misc]taylor: Taking taylor expansion of 0 in n 1546251837.171 * [misc]backup-simplify: Simplify 0 into 0 1546251837.171 * [misc]backup-simplify: Simplify 0 into 0 1546251837.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546251837.172 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251837.173 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1546251837.173 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1546251837.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.177 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.177 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1546251837.177 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.178 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1546251837.183 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1546251837.185 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow n 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1546251837.188 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1546251837.190 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1546251837.191 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1546251837.191 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1546251837.191 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.191 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.191 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1546251837.191 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1546251837.191 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251837.191 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.191 * [misc]backup-simplify: Simplify 2 into 2 1546251837.191 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251837.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251837.192 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1546251837.192 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546251837.192 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546251837.192 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251837.192 * [misc]taylor: Taking taylor expansion of n in n 1546251837.192 * [misc]backup-simplify: Simplify 0 into 0 1546251837.192 * [misc]backup-simplify: Simplify 1 into 1 1546251837.192 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.192 * [misc]backup-simplify: Simplify PI into PI 1546251837.192 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251837.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251837.193 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546251837.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.194 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546251837.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1546251837.196 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.196 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1546251837.197 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.198 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.199 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.199 * [misc]backup-simplify: Simplify 0 into 0 1546251837.200 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251837.201 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546251837.201 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251837.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1546251837.202 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1546251837.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546251837.207 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546251837.207 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546251837.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1546251837.211 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1546251837.214 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) (pow n 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1546251837.219 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/8 (* (/ (pow (log (* 2 PI)) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/4 (* (/ (* (log n) (log (* 2 PI))) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (/ (pow (log n) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) 1546251837.222 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (/ (pow (log (* 2 PI)) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/4 (* (/ (* (log n) (log (* 2 PI))) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (/ (pow (log n) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) 0))) into (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))))))) 1546251837.222 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))))))) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI))))))))) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.222 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.222 * [misc]taylor: Taking taylor expansion of (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of (/ (log n) (sqrt 2)) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of (log n) in n 1546251837.222 * [misc]taylor: Taking taylor expansion of n in n 1546251837.222 * [misc]backup-simplify: Simplify 0 into 0 1546251837.222 * [misc]backup-simplify: Simplify 1 into 1 1546251837.223 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.223 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251837.223 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.223 * [misc]backup-simplify: Simplify 2 into 2 1546251837.223 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251837.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251837.223 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251837.223 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1546251837.223 * [misc]backup-simplify: Simplify (/ (log n) (sqrt 2)) into (/ (log n) (sqrt 2)) 1546251837.223 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546251837.223 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546251837.223 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251837.223 * [misc]taylor: Taking taylor expansion of n in n 1546251837.223 * [misc]backup-simplify: Simplify 0 into 0 1546251837.224 * [misc]backup-simplify: Simplify 1 into 1 1546251837.224 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.224 * [misc]backup-simplify: Simplify PI into PI 1546251837.224 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251837.225 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251837.225 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546251837.225 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.226 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546251837.226 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))))) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.226 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.226 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251837.226 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.226 * [misc]backup-simplify: Simplify 2 into 2 1546251837.226 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251837.227 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251837.227 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1546251837.227 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546251837.227 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546251837.227 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251837.227 * [misc]taylor: Taking taylor expansion of n in n 1546251837.227 * [misc]backup-simplify: Simplify 0 into 0 1546251837.227 * [misc]backup-simplify: Simplify 1 into 1 1546251837.227 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.227 * [misc]backup-simplify: Simplify PI into PI 1546251837.227 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251837.228 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251837.229 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546251837.229 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.230 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546251837.230 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.230 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.230 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 PI)) (sqrt 2)) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.230 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.230 * [misc]backup-simplify: Simplify 2 into 2 1546251837.230 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.230 * [misc]backup-simplify: Simplify PI into PI 1546251837.230 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.231 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.231 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546251837.231 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.231 * [misc]backup-simplify: Simplify 2 into 2 1546251837.231 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546251837.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546251837.232 * [misc]backup-simplify: Simplify (/ (log (* 2 PI)) (sqrt 2)) into (/ (log (* 2 PI)) (sqrt 2)) 1546251837.232 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546251837.232 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546251837.232 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546251837.232 * [misc]taylor: Taking taylor expansion of n in n 1546251837.232 * [misc]backup-simplify: Simplify 0 into 0 1546251837.232 * [misc]backup-simplify: Simplify 1 into 1 1546251837.232 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.232 * [misc]backup-simplify: Simplify PI into PI 1546251837.233 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546251837.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546251837.234 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546251837.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.235 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546251837.237 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251837.238 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log n) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1546251837.239 * [misc]backup-simplify: Simplify (+ (* (/ (log n) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) 1546251837.239 * [misc]backup-simplify: Simplify (* (/ (log n) (sqrt 2)) 0) into 0 1546251837.240 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) 1546251837.240 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1546251837.241 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.242 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1546251837.244 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1546251837.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.247 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.250 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log (* 2 PI)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1546251837.252 * [misc]backup-simplify: Simplify (+ (* (/ (log (* 2 PI)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI)))) 1546251837.253 * [misc]backup-simplify: Simplify (* (/ (log (* 2 PI)) (sqrt 2)) 0) into 0 1546251837.254 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI)))) 1546251837.256 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))))) into (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI)))) 1546251837.259 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))))) 1546251837.262 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))))) 1546251837.265 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1546251837.267 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1546251837.269 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1546251837.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546251837.271 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546251837.272 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546251837.273 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546251837.273 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1546251837.275 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1546251837.277 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1546251837.279 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1546251837.281 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1546251837.288 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log (* 2 PI)) (pow k 2)) (* (sqrt 2) PI)))))))))))) 1546251837.289 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2))) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) 1546251837.289 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) in (k n) around 0 1546251837.290 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.290 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.290 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.290 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of k in n 1546251837.290 * [misc]backup-simplify: Simplify k into k 1546251837.290 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.290 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.290 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.290 * [misc]backup-simplify: Simplify 2 into 2 1546251837.290 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.290 * [misc]backup-simplify: Simplify PI into PI 1546251837.291 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.291 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.291 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.291 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.292 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251837.293 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251837.293 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.293 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.293 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.293 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of k in n 1546251837.293 * [misc]backup-simplify: Simplify k into k 1546251837.293 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.293 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251837.293 * [misc]taylor: Taking taylor expansion of n in n 1546251837.293 * [misc]backup-simplify: Simplify 0 into 0 1546251837.293 * [misc]backup-simplify: Simplify 1 into 1 1546251837.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.294 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.294 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.294 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.294 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.294 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251837.295 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251837.295 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251837.296 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.296 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546251837.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.296 * [misc]taylor: Taking taylor expansion of k in n 1546251837.296 * [misc]backup-simplify: Simplify k into k 1546251837.296 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.296 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546251837.296 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251837.296 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546251837.296 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) in k 1546251837.296 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1546251837.296 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251837.296 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.296 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.297 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.297 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.297 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of k in k 1546251837.297 * [misc]backup-simplify: Simplify 0 into 0 1546251837.297 * [misc]backup-simplify: Simplify 1 into 1 1546251837.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.297 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.297 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.297 * [misc]backup-simplify: Simplify 2 into 2 1546251837.297 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.297 * [misc]backup-simplify: Simplify PI into PI 1546251837.298 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.298 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.298 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.299 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.299 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.300 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.300 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.300 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251837.300 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251837.300 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.300 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.300 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.300 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.300 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.300 * [misc]taylor: Taking taylor expansion of k in k 1546251837.300 * [misc]backup-simplify: Simplify 0 into 0 1546251837.300 * [misc]backup-simplify: Simplify 1 into 1 1546251837.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.301 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251837.301 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251837.301 * [misc]taylor: Taking taylor expansion of n in k 1546251837.301 * [misc]backup-simplify: Simplify n into n 1546251837.301 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251837.301 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251837.301 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.301 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.301 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251837.301 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251837.302 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251837.302 * [misc]backup-simplify: Simplify (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 1546251837.302 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251837.302 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of k in k 1546251837.303 * [misc]backup-simplify: Simplify 0 into 0 1546251837.303 * [misc]backup-simplify: Simplify 1 into 1 1546251837.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.303 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.303 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251837.303 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (sqrt (/ 1 k))) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1546251837.303 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.304 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.304 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.304 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.304 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.304 * [misc]taylor: Taking taylor expansion of k in k 1546251837.304 * [misc]backup-simplify: Simplify 0 into 0 1546251837.304 * [misc]backup-simplify: Simplify 1 into 1 1546251837.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.304 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.304 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.304 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.304 * [misc]backup-simplify: Simplify 2 into 2 1546251837.304 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.304 * [misc]backup-simplify: Simplify PI into PI 1546251837.304 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.304 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.305 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.305 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.305 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1546251837.305 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1546251837.305 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1546251837.305 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1546251837.306 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.306 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.306 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of k in k 1546251837.306 * [misc]backup-simplify: Simplify 0 into 0 1546251837.306 * [misc]backup-simplify: Simplify 1 into 1 1546251837.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.306 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1546251837.306 * [misc]taylor: Taking taylor expansion of n in k 1546251837.306 * [misc]backup-simplify: Simplify n into n 1546251837.306 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1546251837.306 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1546251837.306 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546251837.306 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1546251837.306 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1546251837.306 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1546251837.307 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1546251837.307 * [misc]backup-simplify: Simplify (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 1546251837.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546251837.307 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546251837.307 * [misc]taylor: Taking taylor expansion of k in k 1546251837.307 * [misc]backup-simplify: Simplify 0 into 0 1546251837.307 * [misc]backup-simplify: Simplify 1 into 1 1546251837.307 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.307 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.308 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546251837.308 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 0) into 0 1546251837.308 * [misc]taylor: Taking taylor expansion of 0 in n 1546251837.308 * [misc]backup-simplify: Simplify 0 into 0 1546251837.308 * [misc]backup-simplify: Simplify 0 into 0 1546251837.308 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1546251837.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1546251837.309 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) 1546251837.309 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.309 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.309 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251837.309 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.309 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.309 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.310 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.310 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.310 * [misc]taylor: Taking taylor expansion of k in n 1546251837.310 * [misc]backup-simplify: Simplify k into k 1546251837.310 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.310 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.310 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.310 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.310 * [misc]backup-simplify: Simplify 2 into 2 1546251837.310 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.310 * [misc]backup-simplify: Simplify PI into PI 1546251837.310 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.310 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.310 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.310 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.311 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251837.311 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251837.311 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.311 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.311 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.311 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of k in n 1546251837.311 * [misc]backup-simplify: Simplify k into k 1546251837.311 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.311 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251837.311 * [misc]taylor: Taking taylor expansion of n in n 1546251837.311 * [misc]backup-simplify: Simplify 0 into 0 1546251837.311 * [misc]backup-simplify: Simplify 1 into 1 1546251837.312 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.312 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.312 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.312 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.312 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251837.312 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251837.312 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251837.313 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.313 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.313 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.314 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.314 * [misc]backup-simplify: Simplify 0 into 0 1546251837.314 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251837.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251837.315 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1546251837.316 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) (* 0 (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1546251837.316 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) 1546251837.316 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.317 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.317 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.317 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.317 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.317 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.317 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of k in n 1546251837.317 * [misc]backup-simplify: Simplify k into k 1546251837.317 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.317 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.317 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.317 * [misc]backup-simplify: Simplify 2 into 2 1546251837.317 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.317 * [misc]backup-simplify: Simplify PI into PI 1546251837.317 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.317 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.318 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.318 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.318 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251837.318 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251837.318 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.318 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251837.318 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251837.318 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.318 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.318 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.318 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.319 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.319 * [misc]taylor: Taking taylor expansion of k in n 1546251837.319 * [misc]backup-simplify: Simplify k into k 1546251837.319 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.319 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251837.319 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251837.319 * [misc]taylor: Taking taylor expansion of n in n 1546251837.319 * [misc]backup-simplify: Simplify 0 into 0 1546251837.319 * [misc]backup-simplify: Simplify 1 into 1 1546251837.319 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.319 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.319 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.319 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.319 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.319 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251837.319 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251837.320 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251837.320 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.320 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.321 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.321 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.321 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546251837.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546251837.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251837.323 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251837.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.323 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1546251837.324 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.327 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.327 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546251837.328 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1546251837.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.328 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1546251837.329 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.330 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1546251837.330 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1546251837.331 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546251837.331 * [misc]backup-simplify: Simplify (- 0) into 0 1546251837.331 * [misc]backup-simplify: Simplify 0 into 0 1546251837.331 * [misc]backup-simplify: Simplify 0 into 0 1546251837.331 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.332 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251837.332 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1546251837.333 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) (* 0 (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) (* 0 (/ 0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1546251837.334 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) 1546251837.334 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.334 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.334 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.334 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.334 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.334 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of k in n 1546251837.334 * [misc]backup-simplify: Simplify k into k 1546251837.334 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.334 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.334 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.334 * [misc]backup-simplify: Simplify 2 into 2 1546251837.334 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.334 * [misc]backup-simplify: Simplify PI into PI 1546251837.335 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.335 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.335 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.335 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.335 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1546251837.336 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1546251837.336 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1546251837.336 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1546251837.336 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.336 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of k in n 1546251837.336 * [misc]backup-simplify: Simplify k into k 1546251837.336 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546251837.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.336 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546251837.336 * [misc]taylor: Taking taylor expansion of n in n 1546251837.336 * [misc]backup-simplify: Simplify 0 into 0 1546251837.336 * [misc]backup-simplify: Simplify 1 into 1 1546251837.336 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546251837.336 * [misc]backup-simplify: Simplify (log 1) into 0 1546251837.336 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1546251837.337 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1546251837.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1546251837.337 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1546251837.337 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1546251837.337 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1546251837.337 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.338 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1546251837.338 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.339 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) 1546251837.340 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) k))))))))) 1546251837.341 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2))) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))))) into (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251837.341 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in (k n) around 0 1546251837.341 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251837.341 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546251837.341 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.341 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.341 * [misc]backup-simplify: Simplify -1 into -1 1546251837.341 * [misc]taylor: Taking taylor expansion of k in n 1546251837.341 * [misc]backup-simplify: Simplify k into k 1546251837.341 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.341 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546251837.341 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251837.342 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546251837.342 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.342 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.342 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.342 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.342 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.342 * [misc]backup-simplify: Simplify -1 into -1 1546251837.342 * [misc]taylor: Taking taylor expansion of k in n 1546251837.342 * [misc]backup-simplify: Simplify k into k 1546251837.342 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.342 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.342 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.342 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.342 * [misc]backup-simplify: Simplify -1 into -1 1546251837.342 * [misc]taylor: Taking taylor expansion of n in n 1546251837.342 * [misc]backup-simplify: Simplify 0 into 0 1546251837.342 * [misc]backup-simplify: Simplify 1 into 1 1546251837.342 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.342 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.342 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.342 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.343 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.343 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.343 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.343 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.343 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.343 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.343 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.343 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.343 * [misc]backup-simplify: Simplify -1 into -1 1546251837.343 * [misc]taylor: Taking taylor expansion of k in n 1546251837.343 * [misc]backup-simplify: Simplify k into k 1546251837.343 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.343 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.343 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.343 * [misc]backup-simplify: Simplify 2 into 2 1546251837.343 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.343 * [misc]backup-simplify: Simplify PI into PI 1546251837.344 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.344 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.344 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.344 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.344 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251837.345 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251837.345 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251837.346 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ (sqrt (/ -1 k)) (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.346 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.346 * [misc]backup-simplify: Simplify -1 into -1 1546251837.346 * [misc]taylor: Taking taylor expansion of k in k 1546251837.346 * [misc]backup-simplify: Simplify 0 into 0 1546251837.346 * [misc]backup-simplify: Simplify 1 into 1 1546251837.346 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.346 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.346 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251837.346 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.346 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.346 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.346 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.346 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.346 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.347 * [misc]backup-simplify: Simplify -1 into -1 1546251837.347 * [misc]taylor: Taking taylor expansion of k in k 1546251837.347 * [misc]backup-simplify: Simplify 0 into 0 1546251837.347 * [misc]backup-simplify: Simplify 1 into 1 1546251837.347 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.347 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.347 * [misc]backup-simplify: Simplify -1 into -1 1546251837.347 * [misc]taylor: Taking taylor expansion of n in k 1546251837.347 * [misc]backup-simplify: Simplify n into n 1546251837.347 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251837.347 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251837.347 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.347 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.347 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251837.347 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251837.347 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.347 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.347 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.347 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.347 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.347 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.348 * [misc]backup-simplify: Simplify -1 into -1 1546251837.348 * [misc]taylor: Taking taylor expansion of k in k 1546251837.348 * [misc]backup-simplify: Simplify 0 into 0 1546251837.348 * [misc]backup-simplify: Simplify 1 into 1 1546251837.348 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.348 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.348 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.348 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.348 * [misc]backup-simplify: Simplify 2 into 2 1546251837.348 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.348 * [misc]backup-simplify: Simplify PI into PI 1546251837.348 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.348 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.348 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.348 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.349 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.349 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.350 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251837.350 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251837.350 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in k 1546251837.350 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546251837.350 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.350 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.350 * [misc]backup-simplify: Simplify -1 into -1 1546251837.350 * [misc]taylor: Taking taylor expansion of k in k 1546251837.350 * [misc]backup-simplify: Simplify 0 into 0 1546251837.350 * [misc]backup-simplify: Simplify 1 into 1 1546251837.350 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.350 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546251837.351 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546251837.351 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.351 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.351 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.351 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.351 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.351 * [misc]backup-simplify: Simplify -1 into -1 1546251837.351 * [misc]taylor: Taking taylor expansion of k in k 1546251837.351 * [misc]backup-simplify: Simplify 0 into 0 1546251837.351 * [misc]backup-simplify: Simplify 1 into 1 1546251837.351 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.351 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1546251837.351 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.351 * [misc]backup-simplify: Simplify -1 into -1 1546251837.351 * [misc]taylor: Taking taylor expansion of n in k 1546251837.351 * [misc]backup-simplify: Simplify n into n 1546251837.351 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1546251837.351 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1546251837.351 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.351 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.351 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1546251837.352 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1546251837.352 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1546251837.352 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.352 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of -1/2 in k 1546251837.352 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.352 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of -1 in k 1546251837.352 * [misc]backup-simplify: Simplify -1 into -1 1546251837.352 * [misc]taylor: Taking taylor expansion of k in k 1546251837.352 * [misc]backup-simplify: Simplify 0 into 0 1546251837.352 * [misc]backup-simplify: Simplify 1 into 1 1546251837.352 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.352 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546251837.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.352 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546251837.352 * [misc]taylor: Taking taylor expansion of 2 in k 1546251837.352 * [misc]backup-simplify: Simplify 2 into 2 1546251837.352 * [misc]taylor: Taking taylor expansion of PI in k 1546251837.352 * [misc]backup-simplify: Simplify PI into PI 1546251837.352 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.353 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.353 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1546251837.353 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546251837.353 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1546251837.354 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1546251837.354 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1546251837.354 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1546251837.354 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.354 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.354 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.354 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.354 * [misc]backup-simplify: Simplify -1 into -1 1546251837.354 * [misc]taylor: Taking taylor expansion of n in n 1546251837.355 * [misc]backup-simplify: Simplify 0 into 0 1546251837.355 * [misc]backup-simplify: Simplify 1 into 1 1546251837.355 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.355 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.355 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.355 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.355 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.355 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.355 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.355 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.355 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.355 * [misc]backup-simplify: Simplify -1 into -1 1546251837.355 * [misc]taylor: Taking taylor expansion of k in n 1546251837.355 * [misc]backup-simplify: Simplify k into k 1546251837.355 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.355 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.355 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.355 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.356 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.356 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.356 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.356 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.356 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.356 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.356 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.356 * [misc]backup-simplify: Simplify -1 into -1 1546251837.356 * [misc]taylor: Taking taylor expansion of k in n 1546251837.356 * [misc]backup-simplify: Simplify k into k 1546251837.356 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.356 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.356 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.356 * [misc]backup-simplify: Simplify 2 into 2 1546251837.356 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.356 * [misc]backup-simplify: Simplify PI into PI 1546251837.356 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.357 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.357 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.357 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.357 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251837.358 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251837.358 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251837.359 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.359 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251837.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546251837.360 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1546251837.361 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))))) into (- (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) 1546251837.361 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.361 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.361 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.361 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.361 * [misc]backup-simplify: Simplify -1 into -1 1546251837.361 * [misc]taylor: Taking taylor expansion of n in n 1546251837.361 * [misc]backup-simplify: Simplify 0 into 0 1546251837.361 * [misc]backup-simplify: Simplify 1 into 1 1546251837.362 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.362 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.362 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.362 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.362 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.362 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.362 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.362 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.362 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.362 * [misc]backup-simplify: Simplify -1 into -1 1546251837.362 * [misc]taylor: Taking taylor expansion of k in n 1546251837.362 * [misc]backup-simplify: Simplify k into k 1546251837.362 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.362 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.362 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.362 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.363 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.363 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.363 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.363 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.363 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.363 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.363 * [misc]backup-simplify: Simplify -1 into -1 1546251837.363 * [misc]taylor: Taking taylor expansion of k in n 1546251837.363 * [misc]backup-simplify: Simplify k into k 1546251837.363 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.363 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.363 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.363 * [misc]backup-simplify: Simplify 2 into 2 1546251837.363 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.363 * [misc]backup-simplify: Simplify PI into PI 1546251837.363 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.364 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.364 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.364 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.365 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251837.365 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251837.366 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251837.367 * [misc]backup-simplify: Simplify (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.367 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.368 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1546251837.369 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1546251837.370 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546251837.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546251837.373 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251837.373 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251837.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.374 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1546251837.376 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.376 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.376 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546251837.376 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1546251837.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546251837.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546251837.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1546251837.380 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546251837.381 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546251837.382 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546251837.384 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (+ (* (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))))) into 0 1546251837.384 * [misc]backup-simplify: Simplify 0 into 0 1546251837.385 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546251837.386 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546251837.387 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1546251837.390 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (* (- (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) (/ 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))))) into (- (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) 1546251837.390 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546251837.390 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546251837.390 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1546251837.390 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.391 * [misc]backup-simplify: Simplify -1 into -1 1546251837.391 * [misc]taylor: Taking taylor expansion of n in n 1546251837.391 * [misc]backup-simplify: Simplify 0 into 0 1546251837.391 * [misc]backup-simplify: Simplify 1 into 1 1546251837.391 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546251837.391 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1546251837.391 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.391 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.391 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.391 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.391 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.391 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.391 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.391 * [misc]backup-simplify: Simplify -1 into -1 1546251837.391 * [misc]taylor: Taking taylor expansion of k in n 1546251837.391 * [misc]backup-simplify: Simplify k into k 1546251837.392 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1546251837.392 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.392 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.393 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1546251837.393 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1546251837.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1546251837.393 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1546251837.393 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1546251837.393 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1546251837.393 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1546251837.393 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1546251837.393 * [misc]taylor: Taking taylor expansion of -1/2 in n 1546251837.393 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546251837.393 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546251837.393 * [misc]taylor: Taking taylor expansion of -1 in n 1546251837.393 * [misc]backup-simplify: Simplify -1 into -1 1546251837.393 * [misc]taylor: Taking taylor expansion of k in n 1546251837.394 * [misc]backup-simplify: Simplify k into k 1546251837.394 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546251837.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546251837.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546251837.394 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1546251837.394 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1546251837.394 * [misc]taylor: Taking taylor expansion of 2 in n 1546251837.394 * [misc]backup-simplify: Simplify 2 into 2 1546251837.394 * [misc]taylor: Taking taylor expansion of PI in n 1546251837.394 * [misc]backup-simplify: Simplify PI into PI 1546251837.394 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546251837.395 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546251837.395 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1546251837.395 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546251837.396 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1546251837.396 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1546251837.397 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1546251837.398 * [misc]backup-simplify: Simplify (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.399 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1546251837.400 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1546251837.400 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1546251837.403 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))))))))) 1546251837.404 * * * [misc]progress: simplifying candidates 1546251837.404 * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # 1546251837.404 * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # 1546251837.404 * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # 1546251837.404 * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # 1546251837.404 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251837.405 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.406 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.408 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251837.408 * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))))))) 1546251837.409 * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # 1546251837.409 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251837.409 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.411 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.413 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251837.413 * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))))))) 1546251837.413 * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # 1546251837.413 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251837.413 * * [misc]simplify: iters left: 1 (4 enodes) 1546251837.415 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251837.415 * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (pow n 1) (fma -1/2 k 1/2))))))) 1546251837.415 * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # 1546251837.415 * [enter]simplify: Simplifying (pow n 1/2) 1546251837.415 * * [misc]simplify: iters left: 1 (3 enodes) 1546251837.416 * [exit]simplify: Simplified to (sqrt n) 1546251837.416 * [misc]simplify: Simplified (2 2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (* -1/2 k)) (sqrt n))))))) 1546251837.417 * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # 1546251837.417 * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # 1546251837.418 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251837.418 * * [misc]simplify: iters left: 5 (9 enodes) 1546251837.422 * * [misc]simplify: iters left: 4 (16 enodes) 1546251837.428 * * [misc]simplify: iters left: 3 (31 enodes) 1546251837.441 * * [misc]simplify: iters left: 2 (72 enodes) 1546251837.479 * * [misc]simplify: iters left: 1 (184 enodes) 1546251837.567 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251837.567 * [misc]simplify: Simplified (2 2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (exp (* (log (* 2 PI)) (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.567 * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # 1546251837.567 * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # 1546251837.568 * [enter]simplify: Simplifying (* 2 PI) 1546251837.568 * * [misc]simplify: iters left: 2 (3 enodes) 1546251837.568 * * [misc]simplify: iters left: 1 (4 enodes) 1546251837.569 * [exit]simplify: Simplified to (* 2 PI) 1546251837.569 * [misc]simplify: Simplified (2 2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (* 1 (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.569 * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # 1546251837.569 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251837.569 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.570 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.571 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251837.571 * [misc]simplify: Simplified (2 2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.571 * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # 1546251837.571 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251837.571 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.572 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.573 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251837.573 * [misc]simplify: Simplified (2 2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.573 * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # 1546251837.573 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251837.573 * * [misc]simplify: iters left: 1 (4 enodes) 1546251837.574 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251837.574 * [misc]simplify: Simplified (2 2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.574 * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # 1546251837.574 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1546251837.574 * * [misc]simplify: iters left: 3 (5 enodes) 1546251837.575 * * [misc]simplify: iters left: 2 (7 enodes) 1546251837.575 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1546251837.575 * [misc]simplify: Simplified (2 2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.576 * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # 1546251837.576 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251837.576 * * [misc]simplify: iters left: 2 (6 enodes) 1546251837.578 * * [misc]simplify: iters left: 1 (8 enodes) 1546251837.579 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251837.580 * [misc]simplify: Simplified (2 2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (pow n (fma -1/2 k 1/2))))))) 1546251837.580 * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # 1546251837.580 * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # 1546251837.580 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251837.580 * * [misc]simplify: iters left: 5 (9 enodes) 1546251837.582 * * [misc]simplify: iters left: 4 (16 enodes) 1546251837.586 * * [misc]simplify: iters left: 3 (31 enodes) 1546251837.598 * * [misc]simplify: iters left: 2 (72 enodes) 1546251837.636 * * [misc]simplify: iters left: 1 (184 enodes) 1546251837.695 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1546251837.695 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (exp (* (log (* 2 PI)) (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.695 * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # 1546251837.695 * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # 1546251837.696 * [enter]simplify: Simplifying (* 2 PI) 1546251837.696 * * [misc]simplify: iters left: 2 (3 enodes) 1546251837.696 * * [misc]simplify: iters left: 1 (4 enodes) 1546251837.697 * [exit]simplify: Simplified to (* 2 PI) 1546251837.697 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (* 1 (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.697 * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # 1546251837.697 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1546251837.697 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.698 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.699 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1546251837.699 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.699 * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # 1546251837.699 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1546251837.699 * * [misc]simplify: iters left: 2 (5 enodes) 1546251837.700 * * [misc]simplify: iters left: 1 (7 enodes) 1546251837.701 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1546251837.701 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.701 * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # 1546251837.701 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1546251837.701 * * [misc]simplify: iters left: 1 (4 enodes) 1546251837.701 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1546251837.702 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.702 * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # 1546251837.702 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1546251837.702 * * [misc]simplify: iters left: 3 (5 enodes) 1546251837.703 * * [misc]simplify: iters left: 2 (7 enodes) 1546251837.703 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1546251837.703 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.703 * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # 1546251837.704 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1546251837.704 * * [misc]simplify: iters left: 2 (6 enodes) 1546251837.704 * * [misc]simplify: iters left: 1 (8 enodes) 1546251837.706 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1546251837.706 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251837.706 * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # 1546251837.706 * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # 1546251837.706 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (log n) (fma -1/2 k 1/2))))) 1546251837.706 * * [misc]simplify: iters left: 6 (18 enodes) 1546251837.709 * * [misc]simplify: iters left: 5 (30 enodes) 1546251837.714 * * [misc]simplify: iters left: 4 (58 enodes) 1546251837.725 * * [misc]simplify: iters left: 3 (133 enodes) 1546251837.769 * * [misc]simplify: iters left: 2 (319 enodes) 1546251837.907 * [exit]simplify: Simplified to (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))) 1546251837.907 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))))))) 1546251837.907 * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # 1546251837.907 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (pow n (fma -1/2 k 1/2)))))) 1546251837.907 * * [misc]simplify: iters left: 6 (18 enodes) 1546251837.912 * * [misc]simplify: iters left: 5 (31 enodes) 1546251837.916 * * [misc]simplify: iters left: 4 (53 enodes) 1546251837.924 * * [misc]simplify: iters left: 3 (98 enodes) 1546251837.957 * * [misc]simplify: iters left: 2 (251 enodes) 1546251838.053 * [exit]simplify: Simplified to (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))) 1546251838.053 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))))))) 1546251838.053 * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # 1546251838.054 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (log (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251838.054 * * [misc]simplify: iters left: 6 (18 enodes) 1546251838.060 * * [misc]simplify: iters left: 5 (29 enodes) 1546251838.064 * * [misc]simplify: iters left: 4 (47 enodes) 1546251838.074 * * [misc]simplify: iters left: 3 (75 enodes) 1546251838.087 * * [misc]simplify: iters left: 2 (139 enodes) 1546251838.130 * * [misc]simplify: iters left: 1 (327 enodes) 1546251838.667 * [exit]simplify: Simplified to (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))) 1546251838.668 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (- (log (sqrt k)) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) (fma (log n) (fma -1/2 k 1/2) (log (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))))))) 1546251838.668 * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # 1546251838.668 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251838.668 * * [misc]simplify: iters left: 6 (17 enodes) 1546251838.670 * * [misc]simplify: iters left: 5 (29 enodes) 1546251838.674 * * [misc]simplify: iters left: 4 (42 enodes) 1546251838.680 * * [misc]simplify: iters left: 3 (68 enodes) 1546251838.690 * * [misc]simplify: iters left: 2 (112 enodes) 1546251838.714 * * [misc]simplify: iters left: 1 (209 enodes) 1546251838.811 * [exit]simplify: Simplified to (fma (- -1/2 (* k -1/2)) (log (* 2 PI)) (fma (log n) (- -1/2 (* k -1/2)) (log (sqrt k)))) 1546251838.811 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (- -1/2 (* k -1/2)) (log (* 2 PI)) (fma (log n) (- -1/2 (* k -1/2)) (log (sqrt k))))))) 1546251838.811 * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # 1546251838.811 * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # 1546251838.812 * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # 1546251838.812 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251838.812 * * [misc]simplify: iters left: 6 (21 enodes) 1546251838.820 * * [misc]simplify: iters left: 5 (44 enodes) 1546251838.838 * * [misc]simplify: iters left: 4 (168 enodes) 1546251839.016 * [exit]simplify: Simplified to (* (/ (/ (sqrt k) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (/ k (pow n (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1546251839.016 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ (sqrt k) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (/ k (pow n (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))))) 1546251839.016 * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # 1546251839.017 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251839.017 * * [misc]simplify: iters left: 6 (21 enodes) 1546251839.025 * * [misc]simplify: iters left: 5 (46 enodes) 1546251839.043 * * [misc]simplify: iters left: 4 (163 enodes) 1546251839.171 * [exit]simplify: Simplified to (/ (/ (/ (* k (sqrt k)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1546251839.171 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (/ (* k (sqrt k)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251839.171 * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # 1546251839.171 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251839.172 * * [misc]simplify: iters left: 6 (19 enodes) 1546251839.178 * * [misc]simplify: iters left: 5 (41 enodes) 1546251839.196 * * [misc]simplify: iters left: 4 (139 enodes) 1546251839.305 * [exit]simplify: Simplified to (/ (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1546251839.305 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* (/ (sqrt k) (pow n (fma -1/2 k 1/2))) (/ k (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))))) 1546251839.305 * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # 1546251839.305 * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # 1546251839.305 * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # 1546251839.305 * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # 1546251839.305 * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # 1546251839.305 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251839.305 * * [misc]simplify: iters left: 6 (13 enodes) 1546251839.307 * * [misc]simplify: iters left: 5 (18 enodes) 1546251839.310 * * [misc]simplify: iters left: 4 (22 enodes) 1546251839.312 * * [misc]simplify: iters left: 3 (24 enodes) 1546251839.316 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251839.316 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (cbrt (sqrt k)) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251839.316 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1546251839.316 * * [misc]simplify: iters left: 6 (15 enodes) 1546251839.318 * * [misc]simplify: iters left: 5 (21 enodes) 1546251839.321 * * [misc]simplify: iters left: 4 (23 enodes) 1546251839.324 * * [misc]simplify: iters left: 3 (24 enodes) 1546251839.329 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (* (pow n (fma -1/2 k 1/2)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) 1546251839.329 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (cbrt (sqrt k)) (* (pow n (fma -1/2 k 1/2)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))))) 1546251839.329 * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # 1546251839.329 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251839.329 * * [misc]simplify: iters left: 6 (12 enodes) 1546251839.331 * * [misc]simplify: iters left: 5 (15 enodes) 1546251839.335 * * [misc]simplify: iters left: 4 (17 enodes) 1546251839.339 * * [misc]simplify: iters left: 3 (18 enodes) 1546251839.345 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251839.345 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251839.345 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1546251839.346 * * [misc]simplify: iters left: 6 (15 enodes) 1546251839.349 * * [misc]simplify: iters left: 5 (21 enodes) 1546251839.352 * * [misc]simplify: iters left: 4 (23 enodes) 1546251839.355 * * [misc]simplify: iters left: 3 (24 enodes) 1546251839.358 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (pow n (fma -1/2 k 1/2)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))))) 1546251839.358 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (sqrt (sqrt k)) (* (pow n (fma -1/2 k 1/2)) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))))))) 1546251839.358 * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # 1546251839.358 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1546251839.358 * * [misc]simplify: iters left: 6 (11 enodes) 1546251839.360 * * [misc]simplify: iters left: 5 (16 enodes) 1546251839.362 * * [misc]simplify: iters left: 4 (18 enodes) 1546251839.364 * * [misc]simplify: iters left: 3 (19 enodes) 1546251839.367 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* PI 2) (fma -1/2 k 1/2)))) 1546251839.367 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI 2) (fma -1/2 k 1/2)))) (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251839.367 * [enter]simplify: Simplifying (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1546251839.367 * * [misc]simplify: iters left: 6 (14 enodes) 1546251839.369 * * [misc]simplify: iters left: 5 (20 enodes) 1546251839.372 * * [misc]simplify: iters left: 4 (22 enodes) 1546251839.375 * * [misc]simplify: iters left: 3 (23 enodes) 1546251839.381 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow n (fma k -1/2 1/2)) (sqrt (pow (* 2 PI) (fma k -1/2 1/2))))) 1546251839.381 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (/ (sqrt k) (* (pow n (fma k -1/2 1/2)) (sqrt (pow (* 2 PI) (fma k -1/2 1/2)))))))) 1546251839.381 * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # 1546251839.381 * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # 1546251839.381 * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # 1546251839.381 * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # 1546251839.381 * [enter]simplify: Simplifying (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) 1546251839.381 * * [misc]simplify: iters left: 6 (12 enodes) 1546251839.385 * * [misc]simplify: iters left: 5 (16 enodes) 1546251839.389 * * [misc]simplify: iters left: 4 (18 enodes) 1546251839.394 * * [misc]simplify: iters left: 3 (19 enodes) 1546251839.399 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) 1546251839.399 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))))) 1546251839.399 * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # 1546251839.399 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546251839.399 * * [misc]simplify: iters left: 4 (4 enodes) 1546251839.400 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546251839.400 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (cbrt (sqrt k)))))) 1546251839.400 * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # 1546251839.401 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546251839.401 * * [misc]simplify: iters left: 2 (3 enodes) 1546251839.402 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546251839.402 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k)))))) 1546251839.402 * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # 1546251839.402 * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # 1546251839.402 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1546251839.402 * * [misc]simplify: iters left: 6 (18 enodes) 1546251839.409 * * [misc]simplify: iters left: 5 (39 enodes) 1546251839.424 * * [misc]simplify: iters left: 4 (119 enodes) 1546251839.487 * * [misc]simplify: iters left: 3 (334 enodes) 1546251839.693 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1546251839.693 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))))))) 1546251839.693 * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # 1546251839.694 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1546251839.694 * * [misc]simplify: iters left: 6 (12 enodes) 1546251839.697 * * [misc]simplify: iters left: 5 (28 enodes) 1546251839.703 * * [misc]simplify: iters left: 4 (67 enodes) 1546251839.718 * * [misc]simplify: iters left: 3 (180 enodes) 1546251839.851 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1546251839.852 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251839.852 * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # 1546251839.852 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1546251839.852 * * [misc]simplify: iters left: 6 (12 enodes) 1546251839.857 * * [misc]simplify: iters left: 5 (22 enodes) 1546251839.865 * * [misc]simplify: iters left: 4 (52 enodes) 1546251839.893 * * [misc]simplify: iters left: 3 (149 enodes) 1546251839.949 * * [misc]simplify: iters left: 2 (453 enodes) 1546251840.713 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1546251840.713 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma k -1/2 1/2))))))) 1546251840.713 * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # 1546251840.713 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251840.714 * * [misc]simplify: iters left: 6 (22 enodes) 1546251840.723 * * [misc]simplify: iters left: 5 (55 enodes) 1546251840.746 * * [misc]simplify: iters left: 4 (175 enodes) 1546251840.847 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1546251840.847 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2))))) (pow n (fma -1/2 k 1/2))))))) 1546251840.847 * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # 1546251840.847 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.847 * * [misc]simplify: iters left: 3 (8 enodes) 1546251840.848 * * [misc]simplify: iters left: 2 (11 enodes) 1546251840.850 * * [misc]simplify: iters left: 1 (13 enodes) 1546251840.852 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.852 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251840.852 * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # 1546251840.852 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.852 * * [misc]simplify: iters left: 3 (8 enodes) 1546251840.853 * * [misc]simplify: iters left: 2 (11 enodes) 1546251840.854 * * [misc]simplify: iters left: 1 (13 enodes) 1546251840.856 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.856 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251840.856 * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # 1546251840.856 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1546251840.857 * * [misc]simplify: iters left: 6 (22 enodes) 1546251840.861 * * [misc]simplify: iters left: 5 (55 enodes) 1546251840.872 * * [misc]simplify: iters left: 4 (175 enodes) 1546251840.939 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1546251840.939 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2))))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251840.939 * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # 1546251840.939 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.939 * * [misc]simplify: iters left: 3 (8 enodes) 1546251840.941 * * [misc]simplify: iters left: 2 (11 enodes) 1546251840.942 * * [misc]simplify: iters left: 1 (13 enodes) 1546251840.944 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.944 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251840.944 * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # 1546251840.944 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.944 * * [misc]simplify: iters left: 3 (8 enodes) 1546251840.945 * * [misc]simplify: iters left: 2 (11 enodes) 1546251840.950 * * [misc]simplify: iters left: 1 (13 enodes) 1546251840.954 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1546251840.954 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))))) 1546251840.954 * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # 1546251840.954 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log (* 2 PI)) (pow k 2)) (* (sqrt 2) PI)))))))))))) 1546251840.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546251840.954 * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # 1546251840.955 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) k))))))))) 1546251840.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546251840.955 * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # 1546251840.955 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))))))))) 1546251840.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546251840.955 * * * [misc]progress: adding candidates to table 1546251842.853 * [misc]progress: [Phase 3 of 3] Extracting. 1546251842.853 * * [misc]regime: Finding splitpoints for: (# # # # # # # #) 1546251842.856 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546251842.856 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # #) 1546251842.942 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # #) 1546251843.033 * * * [misc]regime: Found split indices: #