1546596686.639 * [misc]progress: [Phase 1 of 3] Setting up. 1546596686.639 * * * [misc]progress: [1/2] Preparing points 1546596686.639 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546596686.687 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.687 * * * * [misc]points: Sampling 197 additional inputs, on iter 1 have 59 / 256 1546596686.750 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.751 * * * * [misc]points: Sampling 149 additional inputs, on iter 2 have 107 / 256 1546596686.791 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.791 * * * * [misc]points: Sampling 122 additional inputs, on iter 3 have 134 / 256 1546596686.811 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.812 * * * * [misc]points: Sampling 88 additional inputs, on iter 4 have 168 / 256 1546596686.827 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.828 * * * * [misc]points: Sampling 56 additional inputs, on iter 5 have 200 / 256 1546596686.848 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.849 * * * * [misc]points: Sampling 45 additional inputs, on iter 6 have 211 / 256 1546596686.866 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.866 * * * * [misc]points: Sampling 37 additional inputs, on iter 7 have 219 / 256 1546596686.883 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.883 * * * * [misc]points: Sampling 25 additional inputs, on iter 8 have 231 / 256 1546596686.925 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.926 * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 235 / 256 1546596686.932 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.932 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1546596686.938 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.938 * * * * [misc]points: Sampling 14 additional inputs, on iter 11 have 242 / 256 1546596686.943 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.943 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1546596686.949 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.949 * * * * [misc]points: Sampling 5 additional inputs, on iter 13 have 251 / 256 1546596686.956 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.957 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1546596686.964 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.964 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 253 / 256 1546596686.970 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.970 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 253 / 256 1546596686.974 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.974 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1546596686.978 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.978 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1546596686.982 * * * * [misc]points: Filtering points with unrepresentable outputs 1546596686.982 * * * * [exit]points: Sampled 257 points with exact outputs 1546596686.982 * * * [misc]progress: [2/2] Setting up program. 1546596686.986 * [misc]progress: [Phase 2 of 3] Improving. 1546596686.986 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546596686.986 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546596686.986 * * [misc]simplify: iters left: 6 (13 enodes) 1546596686.989 * * [misc]simplify: iters left: 5 (28 enodes) 1546596686.993 * * [misc]simplify: iters left: 4 (44 enodes) 1546596687.003 * * [misc]simplify: iters left: 3 (54 enodes) 1546596687.014 * * [misc]simplify: iters left: 2 (57 enodes) 1546596687.026 * * [misc]simplify: iters left: 1 (65 enodes) 1546596687.062 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546596687.062 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546596687.075 * * [misc]progress: iteration 1 / 4 1546596687.075 * * * [misc]progress: picking best candidate 1546596687.087 * * * * [misc]pick: Picked # 1546596687.087 * * * [misc]progress: localizing error 1546596687.117 * * * [misc]progress: generating rewritten candidates 1546596687.117 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546596687.118 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546596687.119 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546596687.127 * * * [misc]progress: generating series expansions 1546596687.127 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546596687.127 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546596687.127 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546596687.127 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596687.127 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596687.127 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596687.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596687.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.128 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596687.128 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.128 * [misc]taylor: Taking taylor expansion of k in k 1546596687.128 * [misc]backup-simplify: Simplify 0 into 0 1546596687.128 * [misc]backup-simplify: Simplify 1 into 1 1546596687.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596687.128 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596687.128 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.128 * [misc]backup-simplify: Simplify 2 into 2 1546596687.128 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596687.128 * [misc]taylor: Taking taylor expansion of n in k 1546596687.128 * [misc]backup-simplify: Simplify n into n 1546596687.128 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.128 * [misc]backup-simplify: Simplify PI into PI 1546596687.128 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596687.128 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596687.128 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596687.129 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596687.129 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.129 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.129 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596687.129 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596687.129 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596687.129 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596687.129 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.130 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.130 * [misc]taylor: Taking taylor expansion of k in n 1546596687.130 * [misc]backup-simplify: Simplify k into k 1546596687.130 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.130 * [misc]backup-simplify: Simplify 2 into 2 1546596687.130 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.130 * [misc]taylor: Taking taylor expansion of n in n 1546596687.130 * [misc]backup-simplify: Simplify 0 into 0 1546596687.130 * [misc]backup-simplify: Simplify 1 into 1 1546596687.130 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.130 * [misc]backup-simplify: Simplify PI into PI 1546596687.131 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596687.131 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596687.132 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596687.132 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596687.133 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.133 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596687.133 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596687.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596687.134 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.134 * [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)))) 1546596687.135 * [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))))) 1546596687.135 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.135 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.135 * [misc]taylor: Taking taylor expansion of k in n 1546596687.135 * [misc]backup-simplify: Simplify k into k 1546596687.135 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.135 * [misc]backup-simplify: Simplify 2 into 2 1546596687.135 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.135 * [misc]taylor: Taking taylor expansion of n in n 1546596687.136 * [misc]backup-simplify: Simplify 0 into 0 1546596687.136 * [misc]backup-simplify: Simplify 1 into 1 1546596687.136 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.136 * [misc]backup-simplify: Simplify PI into PI 1546596687.136 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596687.136 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596687.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596687.137 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596687.138 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.138 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596687.138 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596687.138 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596687.139 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.139 * [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)))) 1546596687.140 * [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))))) 1546596687.140 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.140 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.140 * [misc]taylor: Taking taylor expansion of k in k 1546596687.140 * [misc]backup-simplify: Simplify 0 into 0 1546596687.140 * [misc]backup-simplify: Simplify 1 into 1 1546596687.140 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.140 * [misc]taylor: Taking taylor expansion of n in k 1546596687.140 * [misc]backup-simplify: Simplify n into n 1546596687.141 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.141 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596687.141 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596687.141 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.141 * [misc]backup-simplify: Simplify 2 into 2 1546596687.141 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.141 * [misc]backup-simplify: Simplify PI into PI 1546596687.141 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.141 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.142 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596687.142 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.142 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.142 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.143 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596687.144 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596687.144 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596687.145 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596687.146 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596687.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596687.149 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.150 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.151 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596687.152 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.152 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.153 * [misc]backup-simplify: Simplify 0 into 0 1546596687.153 * [misc]backup-simplify: Simplify 0 into 0 1546596687.153 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596687.154 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596687.157 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.157 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.157 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596687.157 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.157 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596687.160 * [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))))))) 1546596687.161 * [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))))))) 1546596687.163 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596687.169 * [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 1546596687.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596687.170 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.171 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.172 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596687.174 * [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 1546596687.174 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.174 * [misc]backup-simplify: Simplify 0 into 0 1546596687.174 * [misc]backup-simplify: Simplify 0 into 0 1546596687.174 * [misc]backup-simplify: Simplify 0 into 0 1546596687.176 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596687.185 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.190 * [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 1546596687.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596687.191 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.192 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596687.194 * [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))))) 1546596687.196 * [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))))) 1546596687.202 * [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))))) 1546596687.202 * [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)))) 1546596687.202 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546596687.202 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596687.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596687.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596687.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596687.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.203 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.203 * [misc]taylor: Taking taylor expansion of k in k 1546596687.203 * [misc]backup-simplify: Simplify 0 into 0 1546596687.203 * [misc]backup-simplify: Simplify 1 into 1 1546596687.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.203 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596687.203 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596687.203 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.203 * [misc]backup-simplify: Simplify 2 into 2 1546596687.203 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596687.203 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.203 * [misc]backup-simplify: Simplify PI into PI 1546596687.203 * [misc]taylor: Taking taylor expansion of n in k 1546596687.203 * [misc]backup-simplify: Simplify n into n 1546596687.203 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596687.203 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596687.203 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596687.203 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.204 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.204 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.204 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596687.204 * [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)))) 1546596687.204 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.204 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.204 * [misc]taylor: Taking taylor expansion of k in n 1546596687.204 * [misc]backup-simplify: Simplify k into k 1546596687.205 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.205 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596687.205 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.205 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.205 * [misc]backup-simplify: Simplify 2 into 2 1546596687.205 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.205 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.205 * [misc]backup-simplify: Simplify PI into PI 1546596687.205 * [misc]taylor: Taking taylor expansion of n in n 1546596687.205 * [misc]backup-simplify: Simplify 0 into 0 1546596687.205 * [misc]backup-simplify: Simplify 1 into 1 1546596687.205 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.205 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.206 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.206 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.206 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596687.206 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596687.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.207 * [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))) 1546596687.208 * [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)))) 1546596687.208 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.208 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.208 * [misc]taylor: Taking taylor expansion of k in n 1546596687.208 * [misc]backup-simplify: Simplify k into k 1546596687.208 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.208 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596687.209 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.209 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.209 * [misc]backup-simplify: Simplify 2 into 2 1546596687.209 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.209 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.209 * [misc]backup-simplify: Simplify PI into PI 1546596687.209 * [misc]taylor: Taking taylor expansion of n in n 1546596687.209 * [misc]backup-simplify: Simplify 0 into 0 1546596687.209 * [misc]backup-simplify: Simplify 1 into 1 1546596687.209 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.209 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.210 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.210 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596687.210 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596687.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.211 * [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))) 1546596687.212 * [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)))) 1546596687.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596687.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596687.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596687.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.212 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.212 * [misc]taylor: Taking taylor expansion of k in k 1546596687.212 * [misc]backup-simplify: Simplify 0 into 0 1546596687.212 * [misc]backup-simplify: Simplify 1 into 1 1546596687.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.213 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596687.213 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596687.213 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596687.213 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.213 * [misc]backup-simplify: Simplify 2 into 2 1546596687.213 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.213 * [misc]backup-simplify: Simplify PI into PI 1546596687.213 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.214 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.214 * [misc]taylor: Taking taylor expansion of n in k 1546596687.214 * [misc]backup-simplify: Simplify n into n 1546596687.214 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.214 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.214 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.214 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.214 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596687.215 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596687.215 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596687.216 * [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)))) 1546596687.217 * [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)))) 1546596687.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596687.221 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.222 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.222 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596687.222 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.223 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.223 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596687.224 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.224 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.224 * [misc]backup-simplify: Simplify 0 into 0 1546596687.224 * [misc]backup-simplify: Simplify 0 into 0 1546596687.224 * [misc]backup-simplify: Simplify 0 into 0 1546596687.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.226 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.229 * [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 1546596687.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596687.229 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.230 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.230 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596687.232 * [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 1546596687.232 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.232 * [misc]backup-simplify: Simplify 0 into 0 1546596687.232 * [misc]backup-simplify: Simplify 0 into 0 1546596687.232 * [misc]backup-simplify: Simplify 0 into 0 1546596687.232 * [misc]backup-simplify: Simplify 0 into 0 1546596687.233 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.234 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.238 * [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 1546596687.238 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596687.239 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.240 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596687.242 * [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 1546596687.242 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.243 * [misc]backup-simplify: Simplify 0 into 0 1546596687.243 * [misc]backup-simplify: Simplify 0 into 0 1546596687.243 * [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))))) 1546596687.243 * [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)) 1546596687.243 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546596687.243 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.243 * [misc]taylor: Taking taylor expansion of k in k 1546596687.243 * [misc]backup-simplify: Simplify 0 into 0 1546596687.243 * [misc]backup-simplify: Simplify 1 into 1 1546596687.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.244 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596687.244 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596687.244 * [misc]taylor: Taking taylor expansion of -2 in k 1546596687.244 * [misc]backup-simplify: Simplify -2 into -2 1546596687.244 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596687.244 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.244 * [misc]backup-simplify: Simplify PI into PI 1546596687.244 * [misc]taylor: Taking taylor expansion of n in k 1546596687.244 * [misc]backup-simplify: Simplify n into n 1546596687.244 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596687.244 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596687.244 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596687.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.244 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.244 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596687.244 * [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))) 1546596687.244 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.244 * [misc]taylor: Taking taylor expansion of k in n 1546596687.244 * [misc]backup-simplify: Simplify k into k 1546596687.244 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.244 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596687.245 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.245 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.245 * [misc]backup-simplify: Simplify -2 into -2 1546596687.245 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.245 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.245 * [misc]backup-simplify: Simplify PI into PI 1546596687.245 * [misc]taylor: Taking taylor expansion of n in n 1546596687.245 * [misc]backup-simplify: Simplify 0 into 0 1546596687.245 * [misc]backup-simplify: Simplify 1 into 1 1546596687.245 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.245 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.245 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.245 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.245 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596687.246 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.246 * [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))) 1546596687.247 * [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)))) 1546596687.247 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of k in n 1546596687.247 * [misc]backup-simplify: Simplify k into k 1546596687.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.247 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.247 * [misc]backup-simplify: Simplify -2 into -2 1546596687.247 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.247 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.247 * [misc]backup-simplify: Simplify PI into PI 1546596687.247 * [misc]taylor: Taking taylor expansion of n in n 1546596687.247 * [misc]backup-simplify: Simplify 0 into 0 1546596687.247 * [misc]backup-simplify: Simplify 1 into 1 1546596687.247 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.247 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.248 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.248 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596687.248 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.249 * [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))) 1546596687.249 * [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)))) 1546596687.249 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of k in k 1546596687.249 * [misc]backup-simplify: Simplify 0 into 0 1546596687.249 * [misc]backup-simplify: Simplify 1 into 1 1546596687.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.249 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596687.249 * [misc]taylor: Taking taylor expansion of -2 in k 1546596687.249 * [misc]backup-simplify: Simplify -2 into -2 1546596687.249 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.249 * [misc]backup-simplify: Simplify PI into PI 1546596687.250 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.250 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.250 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.250 * [misc]taylor: Taking taylor expansion of n in k 1546596687.250 * [misc]backup-simplify: Simplify n into n 1546596687.250 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.250 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.250 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.250 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596687.251 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596687.251 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596687.251 * [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)))) 1546596687.252 * [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)))) 1546596687.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.253 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596687.254 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596687.254 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.255 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596687.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.255 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596687.256 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.256 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.257 * [misc]backup-simplify: Simplify 0 into 0 1546596687.257 * [misc]backup-simplify: Simplify 0 into 0 1546596687.257 * [misc]backup-simplify: Simplify 0 into 0 1546596687.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.258 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.262 * [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 1546596687.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596687.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.263 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.264 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596687.266 * [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 1546596687.266 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.266 * [misc]backup-simplify: Simplify 0 into 0 1546596687.266 * [misc]backup-simplify: Simplify 0 into 0 1546596687.267 * [misc]backup-simplify: Simplify 0 into 0 1546596687.267 * [misc]backup-simplify: Simplify 0 into 0 1546596687.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.270 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.278 * [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 1546596687.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596687.279 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.280 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546596687.284 * [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 1546596687.284 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.284 * [misc]backup-simplify: Simplify 0 into 0 1546596687.284 * [misc]backup-simplify: Simplify 0 into 0 1546596687.285 * [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))))) 1546596687.285 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546596687.285 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546596687.285 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546596687.285 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.285 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.285 * [misc]backup-simplify: Simplify 2 into 2 1546596687.285 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.285 * [misc]taylor: Taking taylor expansion of n in n 1546596687.285 * [misc]backup-simplify: Simplify 0 into 0 1546596687.285 * [misc]backup-simplify: Simplify 1 into 1 1546596687.285 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.285 * [misc]backup-simplify: Simplify PI into PI 1546596687.285 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.285 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.285 * [misc]backup-simplify: Simplify 2 into 2 1546596687.285 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.286 * [misc]taylor: Taking taylor expansion of n in n 1546596687.286 * [misc]backup-simplify: Simplify 0 into 0 1546596687.286 * [misc]backup-simplify: Simplify 1 into 1 1546596687.286 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.286 * [misc]backup-simplify: Simplify PI into PI 1546596687.286 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596687.286 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596687.286 * [misc]backup-simplify: Simplify 0 into 0 1546596687.287 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596687.288 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596687.288 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.289 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596687.290 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596687.290 * [misc]backup-simplify: Simplify 0 into 0 1546596687.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.292 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596687.292 * [misc]backup-simplify: Simplify 0 into 0 1546596687.294 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596687.295 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546596687.295 * [misc]backup-simplify: Simplify 0 into 0 1546596687.297 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596687.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546596687.298 * [misc]backup-simplify: Simplify 0 into 0 1546596687.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596687.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546596687.302 * [misc]backup-simplify: Simplify 0 into 0 1546596687.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546596687.307 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546596687.307 * [misc]backup-simplify: Simplify 0 into 0 1546596687.307 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546596687.307 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546596687.308 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546596687.308 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.308 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.308 * [misc]backup-simplify: Simplify 2 into 2 1546596687.308 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.308 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.308 * [misc]backup-simplify: Simplify PI into PI 1546596687.308 * [misc]taylor: Taking taylor expansion of n in n 1546596687.308 * [misc]backup-simplify: Simplify 0 into 0 1546596687.308 * [misc]backup-simplify: Simplify 1 into 1 1546596687.308 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.308 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.308 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.308 * [misc]backup-simplify: Simplify 2 into 2 1546596687.308 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.308 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.308 * [misc]backup-simplify: Simplify PI into PI 1546596687.308 * [misc]taylor: Taking taylor expansion of n in n 1546596687.308 * [misc]backup-simplify: Simplify 0 into 0 1546596687.308 * [misc]backup-simplify: Simplify 1 into 1 1546596687.308 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.308 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.309 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.309 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.310 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596687.310 * [misc]backup-simplify: Simplify 0 into 0 1546596687.312 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.313 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.313 * [misc]backup-simplify: Simplify 0 into 0 1546596687.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.315 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.315 * [misc]backup-simplify: Simplify 0 into 0 1546596687.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596687.317 * [misc]backup-simplify: Simplify 0 into 0 1546596687.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.320 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596687.320 * [misc]backup-simplify: Simplify 0 into 0 1546596687.321 * [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 1546596687.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596687.323 * [misc]backup-simplify: Simplify 0 into 0 1546596687.323 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546596687.323 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546596687.323 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546596687.323 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.323 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.323 * [misc]backup-simplify: Simplify -2 into -2 1546596687.323 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.323 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.323 * [misc]backup-simplify: Simplify PI into PI 1546596687.323 * [misc]taylor: Taking taylor expansion of n in n 1546596687.323 * [misc]backup-simplify: Simplify 0 into 0 1546596687.323 * [misc]backup-simplify: Simplify 1 into 1 1546596687.324 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.324 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.324 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.324 * [misc]backup-simplify: Simplify -2 into -2 1546596687.324 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.324 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.324 * [misc]backup-simplify: Simplify PI into PI 1546596687.324 * [misc]taylor: Taking taylor expansion of n in n 1546596687.324 * [misc]backup-simplify: Simplify 0 into 0 1546596687.324 * [misc]backup-simplify: Simplify 1 into 1 1546596687.324 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.324 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.324 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.325 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.325 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596687.325 * [misc]backup-simplify: Simplify 0 into 0 1546596687.326 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.327 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.327 * [misc]backup-simplify: Simplify 0 into 0 1546596687.328 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.329 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.329 * [misc]backup-simplify: Simplify 0 into 0 1546596687.330 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.331 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596687.331 * [misc]backup-simplify: Simplify 0 into 0 1546596687.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.334 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596687.334 * [misc]backup-simplify: Simplify 0 into 0 1546596687.335 * [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 1546596687.339 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596687.339 * [misc]backup-simplify: Simplify 0 into 0 1546596687.339 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546596687.339 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546596687.339 * [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)))) 1546596687.339 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546596687.340 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596687.340 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596687.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.340 * [misc]taylor: Taking taylor expansion of k in k 1546596687.340 * [misc]backup-simplify: Simplify 0 into 0 1546596687.340 * [misc]backup-simplify: Simplify 1 into 1 1546596687.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.341 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596687.341 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.341 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.341 * [misc]taylor: Taking taylor expansion of k in k 1546596687.341 * [misc]backup-simplify: Simplify 0 into 0 1546596687.341 * [misc]backup-simplify: Simplify 1 into 1 1546596687.341 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.341 * [misc]backup-simplify: Simplify 2 into 2 1546596687.341 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596687.341 * [misc]taylor: Taking taylor expansion of n in k 1546596687.341 * [misc]backup-simplify: Simplify n into n 1546596687.341 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.341 * [misc]backup-simplify: Simplify PI into PI 1546596687.341 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596687.342 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596687.342 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596687.342 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596687.342 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.342 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.342 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596687.342 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596687.342 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596687.342 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596687.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.342 * [misc]taylor: Taking taylor expansion of k in n 1546596687.342 * [misc]backup-simplify: Simplify k into k 1546596687.343 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.343 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596687.343 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.343 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596687.343 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.343 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.343 * [misc]taylor: Taking taylor expansion of k in n 1546596687.343 * [misc]backup-simplify: Simplify k into k 1546596687.343 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.343 * [misc]backup-simplify: Simplify 2 into 2 1546596687.343 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.343 * [misc]taylor: Taking taylor expansion of n in n 1546596687.343 * [misc]backup-simplify: Simplify 0 into 0 1546596687.343 * [misc]backup-simplify: Simplify 1 into 1 1546596687.343 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.343 * [misc]backup-simplify: Simplify PI into PI 1546596687.344 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596687.344 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596687.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596687.345 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596687.346 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.346 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596687.346 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596687.346 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596687.347 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.347 * [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)))) 1546596687.348 * [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))))) 1546596687.348 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of k in n 1546596687.348 * [misc]backup-simplify: Simplify k into k 1546596687.348 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.348 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596687.348 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.348 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596687.348 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.348 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596687.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.349 * [misc]taylor: Taking taylor expansion of k in n 1546596687.349 * [misc]backup-simplify: Simplify k into k 1546596687.349 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596687.349 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596687.349 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.349 * [misc]backup-simplify: Simplify 2 into 2 1546596687.349 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596687.349 * [misc]taylor: Taking taylor expansion of n in n 1546596687.349 * [misc]backup-simplify: Simplify 0 into 0 1546596687.349 * [misc]backup-simplify: Simplify 1 into 1 1546596687.349 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.349 * [misc]backup-simplify: Simplify PI into PI 1546596687.349 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596687.349 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596687.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596687.350 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596687.351 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.351 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596687.351 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596687.351 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596687.352 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.353 * [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)))) 1546596687.353 * [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))))) 1546596687.354 * [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))) 1546596687.354 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546596687.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596687.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596687.354 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596687.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.354 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596687.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.355 * [misc]taylor: Taking taylor expansion of k in k 1546596687.355 * [misc]backup-simplify: Simplify 0 into 0 1546596687.355 * [misc]backup-simplify: Simplify 1 into 1 1546596687.355 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596687.355 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.355 * [misc]taylor: Taking taylor expansion of n in k 1546596687.355 * [misc]backup-simplify: Simplify n into n 1546596687.355 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.355 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596687.355 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596687.355 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.355 * [misc]backup-simplify: Simplify 2 into 2 1546596687.355 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.355 * [misc]backup-simplify: Simplify PI into PI 1546596687.355 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.356 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.356 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596687.356 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.356 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.357 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.357 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596687.358 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596687.358 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596687.358 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.358 * [misc]taylor: Taking taylor expansion of k in k 1546596687.358 * [misc]backup-simplify: Simplify 0 into 0 1546596687.358 * [misc]backup-simplify: Simplify 1 into 1 1546596687.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.358 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.359 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596687.359 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546596687.359 * [misc]backup-simplify: Simplify 0 into 0 1546596687.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596687.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596687.364 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.364 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596687.364 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.365 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.366 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596687.367 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.368 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546596687.368 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.368 * [misc]backup-simplify: Simplify 0 into 0 1546596687.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596687.370 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596687.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.373 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596687.373 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.373 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596687.375 * [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))))))) 1546596687.377 * [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))))))) 1546596687.378 * [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))))))) 1546596687.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596687.386 * [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 1546596687.387 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596687.387 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.388 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596687.391 * [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 1546596687.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.391 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546596687.392 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546596687.392 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.392 * [misc]backup-simplify: Simplify 0 into 0 1546596687.392 * [misc]backup-simplify: Simplify 0 into 0 1546596687.393 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596687.394 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596687.395 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596687.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.401 * [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 1546596687.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596687.402 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596687.406 * [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))))) 1546596687.410 * [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)))))))) 1546596687.413 * [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)))))))) 1546596687.415 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596687.417 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546596687.425 * [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 1546596687.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546596687.426 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.427 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596687.428 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546596687.431 * [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 1546596687.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.432 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546596687.433 * [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 1546596687.433 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.433 * [misc]backup-simplify: Simplify 0 into 0 1546596687.433 * [misc]backup-simplify: Simplify 0 into 0 1546596687.433 * [misc]backup-simplify: Simplify 0 into 0 1546596687.434 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.435 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596687.437 * [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 1546596687.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.448 * [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 1546596687.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546596687.448 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.449 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546596687.453 * [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))))))) 1546596687.463 * [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)))))))))))))) 1546596687.470 * [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)))))))))))))) 1546596687.482 * [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)))))))))))))))))))))) 1546596687.482 * [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))))) 1546596687.482 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546596687.482 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596687.482 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596687.482 * [misc]taylor: Taking taylor expansion of k in k 1546596687.482 * [misc]backup-simplify: Simplify 0 into 0 1546596687.482 * [misc]backup-simplify: Simplify 1 into 1 1546596687.483 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.483 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596687.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596687.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596687.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596687.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596687.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.484 * [misc]taylor: Taking taylor expansion of k in k 1546596687.484 * [misc]backup-simplify: Simplify 0 into 0 1546596687.484 * [misc]backup-simplify: Simplify 1 into 1 1546596687.484 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.484 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596687.484 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596687.484 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.484 * [misc]backup-simplify: Simplify 2 into 2 1546596687.484 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596687.484 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.484 * [misc]backup-simplify: Simplify PI into PI 1546596687.484 * [misc]taylor: Taking taylor expansion of n in k 1546596687.484 * [misc]backup-simplify: Simplify n into n 1546596687.484 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596687.484 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596687.484 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596687.484 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.485 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.485 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.485 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596687.485 * [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)))) 1546596687.485 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596687.485 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596687.485 * [misc]taylor: Taking taylor expansion of k in n 1546596687.485 * [misc]backup-simplify: Simplify k into k 1546596687.485 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596687.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596687.485 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596687.485 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of k in n 1546596687.486 * [misc]backup-simplify: Simplify k into k 1546596687.486 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.486 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.486 * [misc]backup-simplify: Simplify 2 into 2 1546596687.486 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.486 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.486 * [misc]backup-simplify: Simplify PI into PI 1546596687.486 * [misc]taylor: Taking taylor expansion of n in n 1546596687.486 * [misc]backup-simplify: Simplify 0 into 0 1546596687.486 * [misc]backup-simplify: Simplify 1 into 1 1546596687.486 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.487 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.487 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.487 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.487 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596687.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596687.488 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.489 * [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))) 1546596687.489 * [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)))) 1546596687.490 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of k in n 1546596687.490 * [misc]backup-simplify: Simplify k into k 1546596687.490 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596687.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596687.490 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of k in n 1546596687.490 * [misc]backup-simplify: Simplify k into k 1546596687.490 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of 2 in n 1546596687.490 * [misc]backup-simplify: Simplify 2 into 2 1546596687.490 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.490 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.490 * [misc]backup-simplify: Simplify PI into PI 1546596687.490 * [misc]taylor: Taking taylor expansion of n in n 1546596687.490 * [misc]backup-simplify: Simplify 0 into 0 1546596687.490 * [misc]backup-simplify: Simplify 1 into 1 1546596687.491 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.491 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.491 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.492 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.492 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596687.492 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596687.492 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.493 * [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))) 1546596687.494 * [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)))) 1546596687.494 * [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)) 1546596687.494 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546596687.494 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596687.494 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596687.494 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.495 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.495 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of k in k 1546596687.495 * [misc]backup-simplify: Simplify 0 into 0 1546596687.495 * [misc]backup-simplify: Simplify 1 into 1 1546596687.495 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.495 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596687.495 * [misc]taylor: Taking taylor expansion of 2 in k 1546596687.495 * [misc]backup-simplify: Simplify 2 into 2 1546596687.495 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.495 * [misc]backup-simplify: Simplify PI into PI 1546596687.495 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596687.496 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596687.496 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.496 * [misc]taylor: Taking taylor expansion of n in k 1546596687.496 * [misc]backup-simplify: Simplify n into n 1546596687.496 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.496 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.496 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596687.496 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596687.496 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596687.497 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596687.498 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596687.498 * [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)))) 1546596687.498 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596687.498 * [misc]taylor: Taking taylor expansion of k in k 1546596687.498 * [misc]backup-simplify: Simplify 0 into 0 1546596687.498 * [misc]backup-simplify: Simplify 1 into 1 1546596687.498 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.499 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596687.500 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546596687.500 * [misc]backup-simplify: Simplify 0 into 0 1546596687.501 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596687.504 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596687.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.505 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596687.505 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.506 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.506 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596687.508 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.509 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546596687.509 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.509 * [misc]backup-simplify: Simplify 0 into 0 1546596687.509 * [misc]backup-simplify: Simplify 0 into 0 1546596687.510 * [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)))))) 1546596687.511 * [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)))))) 1546596687.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.513 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.518 * [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 1546596687.518 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.519 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596687.519 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.519 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.521 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596687.523 * [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 1546596687.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546596687.525 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546596687.525 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.525 * [misc]backup-simplify: Simplify 0 into 0 1546596687.525 * [misc]backup-simplify: Simplify 0 into 0 1546596687.525 * [misc]backup-simplify: Simplify 0 into 0 1546596687.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596687.527 * [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)))))) 1546596687.528 * [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)))))) 1546596687.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.531 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596687.539 * [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 1546596687.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596687.540 * [misc]backup-simplify: Simplify (- 0) into 0 1546596687.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596687.542 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596687.545 * [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 1546596687.546 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546596687.547 * [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 1546596687.547 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.547 * [misc]backup-simplify: Simplify 0 into 0 1546596687.547 * [misc]backup-simplify: Simplify 0 into 0 1546596687.547 * [misc]backup-simplify: Simplify 0 into 0 1546596687.547 * [misc]backup-simplify: Simplify 0 into 0 1546596687.548 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596687.549 * [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)))))) 1546596687.550 * [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)))))) 1546596687.552 * [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)))))))) 1546596687.553 * [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))) 1546596687.553 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546596687.553 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.553 * [misc]taylor: Taking taylor expansion of k in k 1546596687.553 * [misc]backup-simplify: Simplify 0 into 0 1546596687.553 * [misc]backup-simplify: Simplify 1 into 1 1546596687.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.554 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.554 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596687.554 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596687.554 * [misc]taylor: Taking taylor expansion of -2 in k 1546596687.554 * [misc]backup-simplify: Simplify -2 into -2 1546596687.554 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596687.554 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.554 * [misc]backup-simplify: Simplify PI into PI 1546596687.554 * [misc]taylor: Taking taylor expansion of n in k 1546596687.554 * [misc]backup-simplify: Simplify n into n 1546596687.554 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596687.554 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596687.554 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596687.554 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.554 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.555 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596687.555 * [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))) 1546596687.555 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596687.555 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596687.555 * [misc]taylor: Taking taylor expansion of -1 in k 1546596687.555 * [misc]backup-simplify: Simplify -1 into -1 1546596687.555 * [misc]taylor: Taking taylor expansion of k in k 1546596687.555 * [misc]backup-simplify: Simplify 0 into 0 1546596687.555 * [misc]backup-simplify: Simplify 1 into 1 1546596687.555 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596687.555 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.556 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596687.556 * [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)))) 1546596687.556 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.557 * [misc]taylor: Taking taylor expansion of k in n 1546596687.557 * [misc]backup-simplify: Simplify k into k 1546596687.557 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.557 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596687.557 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.557 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.557 * [misc]backup-simplify: Simplify -2 into -2 1546596687.557 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.557 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.557 * [misc]backup-simplify: Simplify PI into PI 1546596687.557 * [misc]taylor: Taking taylor expansion of n in n 1546596687.557 * [misc]backup-simplify: Simplify 0 into 0 1546596687.557 * [misc]backup-simplify: Simplify 1 into 1 1546596687.557 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.557 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.558 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.558 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.558 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596687.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.560 * [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))) 1546596687.560 * [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)))) 1546596687.560 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596687.560 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596687.560 * [misc]taylor: Taking taylor expansion of -1 in n 1546596687.560 * [misc]backup-simplify: Simplify -1 into -1 1546596687.560 * [misc]taylor: Taking taylor expansion of k in n 1546596687.560 * [misc]backup-simplify: Simplify k into k 1546596687.560 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596687.561 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596687.561 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596687.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596687.561 * [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))) 1546596687.561 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.562 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of k in n 1546596687.562 * [misc]backup-simplify: Simplify k into k 1546596687.562 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596687.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596687.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.562 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of -2 in n 1546596687.562 * [misc]backup-simplify: Simplify -2 into -2 1546596687.562 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596687.562 * [misc]taylor: Taking taylor expansion of PI in n 1546596687.562 * [misc]backup-simplify: Simplify PI into PI 1546596687.562 * [misc]taylor: Taking taylor expansion of n in n 1546596687.562 * [misc]backup-simplify: Simplify 0 into 0 1546596687.562 * [misc]backup-simplify: Simplify 1 into 1 1546596687.563 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596687.563 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.564 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.564 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596687.564 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596687.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.565 * [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))) 1546596687.566 * [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)))) 1546596687.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596687.566 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596687.566 * [misc]taylor: Taking taylor expansion of -1 in n 1546596687.566 * [misc]backup-simplify: Simplify -1 into -1 1546596687.566 * [misc]taylor: Taking taylor expansion of k in n 1546596687.566 * [misc]backup-simplify: Simplify k into k 1546596687.566 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596687.566 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596687.566 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596687.566 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596687.567 * [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))) 1546596687.567 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596687.567 * [misc]taylor: Taking taylor expansion of k in k 1546596687.567 * [misc]backup-simplify: Simplify 0 into 0 1546596687.567 * [misc]backup-simplify: Simplify 1 into 1 1546596687.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596687.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596687.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596687.568 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596687.568 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596687.568 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596687.568 * [misc]taylor: Taking taylor expansion of -2 in k 1546596687.568 * [misc]backup-simplify: Simplify -2 into -2 1546596687.568 * [misc]taylor: Taking taylor expansion of PI in k 1546596687.568 * [misc]backup-simplify: Simplify PI into PI 1546596687.568 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596687.568 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596687.568 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596687.568 * [misc]taylor: Taking taylor expansion of n in k 1546596687.569 * [misc]backup-simplify: Simplify n into n 1546596687.569 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596687.569 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596687.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596687.569 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596687.569 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596687.570 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596687.571 * [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)))) 1546596687.571 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596687.571 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596687.571 * [misc]taylor: Taking taylor expansion of -1 in k 1546596687.571 * [misc]backup-simplify: Simplify -1 into -1 1546596687.571 * [misc]taylor: Taking taylor expansion of k in k 1546596687.571 * [misc]backup-simplify: Simplify 0 into 0 1546596687.571 * [misc]backup-simplify: Simplify 1 into 1 1546596687.571 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596687.571 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596687.572 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596687.572 * [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))))) 1546596687.573 * [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))))) 1546596687.574 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596687.575 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596687.577 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596687.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596687.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596687.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.579 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596687.581 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596687.582 * [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 1546596687.582 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.582 * [misc]backup-simplify: Simplify 0 into 0 1546596687.582 * [misc]backup-simplify: Simplify 0 into 0 1546596687.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596687.583 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596687.584 * [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)))))) 1546596687.585 * [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)))))) 1546596687.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.588 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596687.593 * [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 1546596687.593 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596687.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596687.594 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596687.595 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596687.597 * [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 1546596687.597 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596687.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546596687.599 * [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 1546596687.599 * [misc]taylor: Taking taylor expansion of 0 in k 1546596687.599 * [misc]backup-simplify: Simplify 0 into 0 1546596687.599 * [misc]backup-simplify: Simplify 0 into 0 1546596687.599 * [misc]backup-simplify: Simplify 0 into 0 1546596687.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596687.601 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596687.603 * [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)))))) 1546596687.603 * [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)))))) 1546596687.606 * [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))))))))))) 1546596687.606 * * * [misc]progress: simplifying candidates 1546596687.606 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1546596687.606 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1546596687.606 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1546596687.606 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546596687.607 * * [misc]simplify: iters left: 6 (11 enodes) 1546596687.610 * * [misc]simplify: iters left: 5 (21 enodes) 1546596687.618 * * [misc]simplify: iters left: 4 (47 enodes) 1546596687.637 * * [misc]simplify: iters left: 3 (113 enodes) 1546596687.666 * * [misc]simplify: iters left: 2 (328 enodes) 1546596687.973 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546596687.973 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546596687.973 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1546596687.973 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1546596687.973 * [enter]simplify: Simplifying (* PI (* n 2)) 1546596687.973 * * [misc]simplify: iters left: 4 (5 enodes) 1546596687.974 * * [misc]simplify: iters left: 3 (9 enodes) 1546596687.976 * * [misc]simplify: iters left: 2 (15 enodes) 1546596687.977 * * [misc]simplify: iters left: 1 (17 enodes) 1546596687.979 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546596687.979 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546596687.980 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1546596687.980 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546596687.980 * * [misc]simplify: iters left: 5 (8 enodes) 1546596687.981 * * [misc]simplify: iters left: 4 (12 enodes) 1546596687.983 * * [misc]simplify: iters left: 3 (18 enodes) 1546596687.985 * * [misc]simplify: iters left: 2 (20 enodes) 1546596687.988 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546596687.988 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546596687.988 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1546596687.988 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546596687.988 * * [misc]simplify: iters left: 5 (6 enodes) 1546596687.989 * * [misc]simplify: iters left: 4 (8 enodes) 1546596687.990 * * [misc]simplify: iters left: 3 (11 enodes) 1546596687.992 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546596687.992 * [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))) 1546596687.992 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1546596687.992 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546596687.992 * * [misc]simplify: iters left: 5 (6 enodes) 1546596687.993 * * [misc]simplify: iters left: 4 (8 enodes) 1546596687.994 * * [misc]simplify: iters left: 3 (11 enodes) 1546596687.995 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546596687.996 * [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))) 1546596687.996 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1546596687.996 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546596687.996 * * [misc]simplify: iters left: 4 (5 enodes) 1546596687.997 * * [misc]simplify: iters left: 3 (7 enodes) 1546596687.998 * * [misc]simplify: iters left: 2 (10 enodes) 1546596687.999 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546596687.999 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546596687.999 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1546596687.999 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596687.999 * * [misc]simplify: iters left: 5 (9 enodes) 1546596688.001 * * [misc]simplify: iters left: 4 (15 enodes) 1546596688.006 * * [misc]simplify: iters left: 3 (21 enodes) 1546596688.012 * * [misc]simplify: iters left: 2 (22 enodes) 1546596688.017 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596688.018 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546596688.018 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1546596688.018 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596688.018 * * [misc]simplify: iters left: 5 (9 enodes) 1546596688.021 * * [misc]simplify: iters left: 4 (15 enodes) 1546596688.026 * * [misc]simplify: iters left: 3 (21 enodes) 1546596688.031 * * [misc]simplify: iters left: 2 (22 enodes) 1546596688.034 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596688.034 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546596688.034 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1546596688.034 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546596688.034 * * [misc]simplify: iters left: 5 (7 enodes) 1546596688.035 * * [misc]simplify: iters left: 4 (9 enodes) 1546596688.037 * * [misc]simplify: iters left: 3 (12 enodes) 1546596688.038 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596688.038 * [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))) 1546596688.038 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1546596688.038 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1546596688.038 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1546596688.038 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1546596688.039 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1546596688.039 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546596688.039 * * [misc]simplify: iters left: 6 (14 enodes) 1546596688.042 * * [misc]simplify: iters left: 5 (27 enodes) 1546596688.046 * * [misc]simplify: iters left: 4 (55 enodes) 1546596688.057 * * [misc]simplify: iters left: 3 (144 enodes) 1546596688.151 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546596688.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546596688.151 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1546596688.151 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546596688.152 * * [misc]simplify: iters left: 6 (14 enodes) 1546596688.156 * * [misc]simplify: iters left: 5 (27 enodes) 1546596688.162 * * [misc]simplify: iters left: 4 (55 enodes) 1546596688.173 * * [misc]simplify: iters left: 3 (144 enodes) 1546596688.228 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546596688.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546596688.228 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1546596688.229 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546596688.229 * * [misc]simplify: iters left: 6 (14 enodes) 1546596688.234 * * [misc]simplify: iters left: 5 (24 enodes) 1546596688.242 * * [misc]simplify: iters left: 4 (43 enodes) 1546596688.255 * * [misc]simplify: iters left: 3 (73 enodes) 1546596688.289 * * [misc]simplify: iters left: 2 (220 enodes) 1546596688.539 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546596688.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546596688.539 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1546596688.539 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1546596688.539 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1546596688.539 * [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))) 1546596688.540 * * [misc]simplify: iters left: 6 (16 enodes) 1546596688.548 * * [misc]simplify: iters left: 5 (31 enodes) 1546596688.558 * * [misc]simplify: iters left: 4 (67 enodes) 1546596688.580 * * [misc]simplify: iters left: 3 (124 enodes) 1546596688.624 * * [misc]simplify: iters left: 2 (195 enodes) 1546596688.688 * * [misc]simplify: iters left: 1 (309 enodes) 1546596688.796 * [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)))) 1546596688.796 * [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)))))) 1546596688.796 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1546596688.796 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1546596688.796 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1546596688.796 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1546596688.796 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1546596688.796 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.796 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.798 * * [misc]simplify: iters left: 5 (19 enodes) 1546596688.801 * * [misc]simplify: iters left: 4 (25 enodes) 1546596688.806 * * [misc]simplify: iters left: 3 (26 enodes) 1546596688.812 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.812 * [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))))) 1546596688.813 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546596688.813 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.817 * * [misc]simplify: iters left: 5 (18 enodes) 1546596688.822 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.829 * * [misc]simplify: iters left: 3 (25 enodes) 1546596688.833 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546596688.833 * [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))))) 1546596688.833 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1546596688.833 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546596688.834 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.835 * * [misc]simplify: iters left: 5 (16 enodes) 1546596688.838 * * [misc]simplify: iters left: 4 (22 enodes) 1546596688.841 * * [misc]simplify: iters left: 3 (24 enodes) 1546596688.844 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546596688.844 * [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))))) 1546596688.844 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596688.845 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.847 * * [misc]simplify: iters left: 5 (18 enodes) 1546596688.849 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.853 * * [misc]simplify: iters left: 3 (25 enodes) 1546596688.856 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596688.856 * [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))))) 1546596688.856 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1546596688.856 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546596688.856 * * [misc]simplify: iters left: 6 (9 enodes) 1546596688.858 * * [misc]simplify: iters left: 5 (16 enodes) 1546596688.860 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.863 * * [misc]simplify: iters left: 3 (26 enodes) 1546596688.866 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546596688.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546596688.867 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546596688.867 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.868 * * [misc]simplify: iters left: 5 (17 enodes) 1546596688.871 * * [misc]simplify: iters left: 4 (23 enodes) 1546596688.877 * * [misc]simplify: iters left: 3 (24 enodes) 1546596688.883 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546596688.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546596688.883 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1546596688.883 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.884 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.887 * * [misc]simplify: iters left: 5 (19 enodes) 1546596688.893 * * [misc]simplify: iters left: 4 (25 enodes) 1546596688.901 * * [misc]simplify: iters left: 3 (26 enodes) 1546596688.908 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.908 * [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))))) 1546596688.909 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546596688.909 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.913 * * [misc]simplify: iters left: 5 (18 enodes) 1546596688.918 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.925 * * [misc]simplify: iters left: 3 (25 enodes) 1546596688.931 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546596688.931 * [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))))) 1546596688.931 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1546596688.931 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546596688.932 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.933 * * [misc]simplify: iters left: 5 (16 enodes) 1546596688.936 * * [misc]simplify: iters left: 4 (22 enodes) 1546596688.939 * * [misc]simplify: iters left: 3 (24 enodes) 1546596688.942 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546596688.942 * [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))))) 1546596688.942 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596688.942 * * [misc]simplify: iters left: 6 (12 enodes) 1546596688.944 * * [misc]simplify: iters left: 5 (18 enodes) 1546596688.947 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.950 * * [misc]simplify: iters left: 3 (25 enodes) 1546596688.953 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596688.953 * [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))))) 1546596688.953 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1546596688.954 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546596688.954 * * [misc]simplify: iters left: 6 (9 enodes) 1546596688.955 * * [misc]simplify: iters left: 5 (16 enodes) 1546596688.960 * * [misc]simplify: iters left: 4 (24 enodes) 1546596688.966 * * [misc]simplify: iters left: 3 (26 enodes) 1546596688.972 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546596688.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546596688.972 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546596688.972 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.976 * * [misc]simplify: iters left: 5 (17 enodes) 1546596688.981 * * [misc]simplify: iters left: 4 (23 enodes) 1546596688.985 * * [misc]simplify: iters left: 3 (24 enodes) 1546596688.988 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546596688.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546596688.988 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1546596688.989 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.989 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.990 * * [misc]simplify: iters left: 5 (15 enodes) 1546596688.993 * * [misc]simplify: iters left: 4 (18 enodes) 1546596688.995 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596688.995 * [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))))) 1546596688.995 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546596688.996 * * [misc]simplify: iters left: 6 (11 enodes) 1546596688.997 * * [misc]simplify: iters left: 5 (14 enodes) 1546596688.999 * * [misc]simplify: iters left: 4 (17 enodes) 1546596689.002 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546596689.002 * [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))))) 1546596689.002 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1546596689.002 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.002 * * [misc]simplify: iters left: 6 (10 enodes) 1546596689.004 * * [misc]simplify: iters left: 5 (12 enodes) 1546596689.006 * * [misc]simplify: iters left: 4 (15 enodes) 1546596689.008 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.008 * [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))))) 1546596689.008 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.009 * * [misc]simplify: iters left: 6 (11 enodes) 1546596689.010 * * [misc]simplify: iters left: 5 (14 enodes) 1546596689.012 * * [misc]simplify: iters left: 4 (17 enodes) 1546596689.014 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.014 * [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))))) 1546596689.014 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1546596689.015 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546596689.015 * * [misc]simplify: iters left: 6 (9 enodes) 1546596689.017 * * [misc]simplify: iters left: 5 (13 enodes) 1546596689.021 * * [misc]simplify: iters left: 4 (18 enodes) 1546596689.025 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596689.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546596689.026 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546596689.026 * * [misc]simplify: iters left: 6 (10 enodes) 1546596689.029 * * [misc]simplify: iters left: 5 (13 enodes) 1546596689.033 * * [misc]simplify: iters left: 4 (16 enodes) 1546596689.037 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546596689.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546596689.037 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1546596689.038 * [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)))) 1546596689.038 * * [misc]simplify: iters left: 6 (16 enodes) 1546596689.043 * * [misc]simplify: iters left: 5 (28 enodes) 1546596689.048 * * [misc]simplify: iters left: 4 (46 enodes) 1546596689.054 * * [misc]simplify: iters left: 3 (50 enodes) 1546596689.060 * * [misc]simplify: iters left: 2 (53 enodes) 1546596689.067 * [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)))) 1546596689.067 * [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))))) 1546596689.067 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546596689.068 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.070 * * [misc]simplify: iters left: 5 (20 enodes) 1546596689.074 * * [misc]simplify: iters left: 4 (29 enodes) 1546596689.082 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.090 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546596689.090 * [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))))) 1546596689.090 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1546596689.090 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546596689.090 * * [misc]simplify: iters left: 6 (15 enodes) 1546596689.095 * * [misc]simplify: iters left: 5 (23 enodes) 1546596689.101 * * [misc]simplify: iters left: 4 (34 enodes) 1546596689.105 * * [misc]simplify: iters left: 3 (37 enodes) 1546596689.112 * [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)))))) 1546596689.112 * [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))))) 1546596689.112 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.112 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.115 * * [misc]simplify: iters left: 5 (20 enodes) 1546596689.118 * * [misc]simplify: iters left: 4 (29 enodes) 1546596689.122 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.126 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.126 * [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))))) 1546596689.126 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1546596689.126 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546596689.126 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.129 * * [misc]simplify: iters left: 5 (24 enodes) 1546596689.137 * * [misc]simplify: iters left: 4 (39 enodes) 1546596689.147 * * [misc]simplify: iters left: 3 (54 enodes) 1546596689.161 * * [misc]simplify: iters left: 2 (80 enodes) 1546596689.173 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546596689.173 * [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)))) 1546596689.173 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546596689.173 * * [misc]simplify: iters left: 6 (13 enodes) 1546596689.175 * * [misc]simplify: iters left: 5 (19 enodes) 1546596689.178 * * [misc]simplify: iters left: 4 (28 enodes) 1546596689.182 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.186 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546596689.186 * [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)))) 1546596689.186 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1546596689.186 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596689.186 * * [misc]simplify: iters left: 6 (15 enodes) 1546596689.188 * * [misc]simplify: iters left: 5 (23 enodes) 1546596689.192 * * [misc]simplify: iters left: 4 (32 enodes) 1546596689.197 * * [misc]simplify: iters left: 3 (34 enodes) 1546596689.206 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596689.207 * [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))))) 1546596689.207 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546596689.207 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.211 * * [misc]simplify: iters left: 5 (20 enodes) 1546596689.219 * * [misc]simplify: iters left: 4 (29 enodes) 1546596689.226 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.234 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546596689.234 * [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))))) 1546596689.234 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1546596689.235 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.235 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.239 * * [misc]simplify: iters left: 5 (20 enodes) 1546596689.245 * * [misc]simplify: iters left: 4 (29 enodes) 1546596689.252 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.256 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.256 * [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))))) 1546596689.256 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.257 * * [misc]simplify: iters left: 6 (14 enodes) 1546596689.259 * * [misc]simplify: iters left: 5 (20 enodes) 1546596689.262 * * [misc]simplify: iters left: 4 (29 enodes) 1546596689.265 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.272 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596689.272 * [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))))) 1546596689.272 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1546596689.272 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546596689.272 * * [misc]simplify: iters left: 6 (13 enodes) 1546596689.277 * * [misc]simplify: iters left: 5 (21 enodes) 1546596689.284 * * [misc]simplify: iters left: 4 (32 enodes) 1546596689.292 * * [misc]simplify: iters left: 3 (33 enodes) 1546596689.299 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546596689.299 * [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)))) 1546596689.300 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546596689.300 * * [misc]simplify: iters left: 6 (13 enodes) 1546596689.304 * * [misc]simplify: iters left: 5 (19 enodes) 1546596689.309 * * [misc]simplify: iters left: 4 (28 enodes) 1546596689.317 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.325 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546596689.326 * [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)))) 1546596689.326 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1546596689.326 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596689.326 * * [misc]simplify: iters left: 6 (6 enodes) 1546596689.328 * * [misc]simplify: iters left: 5 (10 enodes) 1546596689.331 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546596689.331 * [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))))) 1546596689.331 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546596689.331 * * [misc]simplify: iters left: 6 (13 enodes) 1546596689.335 * * [misc]simplify: iters left: 5 (19 enodes) 1546596689.341 * * [misc]simplify: iters left: 4 (28 enodes) 1546596689.346 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.351 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546596689.351 * [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))))) 1546596689.351 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1546596689.351 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546596689.351 * * [misc]simplify: iters left: 4 (5 enodes) 1546596689.352 * * [misc]simplify: iters left: 3 (7 enodes) 1546596689.353 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546596689.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546596689.353 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.353 * * [misc]simplify: iters left: 6 (13 enodes) 1546596689.355 * * [misc]simplify: iters left: 5 (19 enodes) 1546596689.358 * * [misc]simplify: iters left: 4 (28 enodes) 1546596689.361 * * [misc]simplify: iters left: 3 (30 enodes) 1546596689.365 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596689.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546596689.365 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1546596689.365 * [enter]simplify: Simplifying (/ 1 1) 1546596689.366 * * [misc]simplify: iters left: 2 (2 enodes) 1546596689.366 * * [misc]simplify: iters left: 1 (4 enodes) 1546596689.366 * [exit]simplify: Simplified to 1 1546596689.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546596689.366 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546596689.367 * * [misc]simplify: iters left: 6 (12 enodes) 1546596689.368 * * [misc]simplify: iters left: 5 (18 enodes) 1546596689.371 * * [misc]simplify: iters left: 4 (27 enodes) 1546596689.375 * * [misc]simplify: iters left: 3 (29 enodes) 1546596689.382 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546596689.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546596689.382 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1546596689.382 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1546596689.382 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1546596689.382 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1546596689.383 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546596689.383 * * [misc]simplify: iters left: 2 (3 enodes) 1546596689.384 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546596689.384 * [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)))) 1546596689.384 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1546596689.384 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596689.384 * * [misc]simplify: iters left: 2 (3 enodes) 1546596689.385 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596689.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596689.385 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1546596689.385 * [enter]simplify: Simplifying (sqrt k) 1546596689.385 * * [misc]simplify: iters left: 1 (2 enodes) 1546596689.386 * [exit]simplify: Simplified to (sqrt k) 1546596689.386 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546596689.386 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1546596689.386 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596689.386 * * [misc]simplify: iters left: 5 (7 enodes) 1546596689.389 * * [misc]simplify: iters left: 4 (12 enodes) 1546596689.392 * * [misc]simplify: iters left: 3 (18 enodes) 1546596689.397 * * [misc]simplify: iters left: 2 (20 enodes) 1546596689.402 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596689.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546596689.402 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1546596689.402 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596689.402 * * [misc]simplify: iters left: 5 (7 enodes) 1546596689.404 * * [misc]simplify: iters left: 4 (12 enodes) 1546596689.406 * * [misc]simplify: iters left: 3 (18 enodes) 1546596689.408 * * [misc]simplify: iters left: 2 (20 enodes) 1546596689.410 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596689.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546596689.411 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1546596689.411 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546596689.411 * * [misc]simplify: iters left: 5 (7 enodes) 1546596689.412 * * [misc]simplify: iters left: 4 (9 enodes) 1546596689.413 * * [misc]simplify: iters left: 3 (12 enodes) 1546596689.415 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596689.415 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546596689.415 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1546596689.415 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596689.415 * * [misc]simplify: iters left: 6 (12 enodes) 1546596689.417 * * [misc]simplify: iters left: 5 (18 enodes) 1546596689.420 * * [misc]simplify: iters left: 4 (27 enodes) 1546596689.424 * * [misc]simplify: iters left: 3 (29 enodes) 1546596689.427 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596689.427 * [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))))))) 1546596689.427 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1546596689.428 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596689.428 * * [misc]simplify: iters left: 6 (11 enodes) 1546596689.429 * * [misc]simplify: iters left: 5 (17 enodes) 1546596689.432 * * [misc]simplify: iters left: 4 (26 enodes) 1546596689.436 * * [misc]simplify: iters left: 3 (27 enodes) 1546596689.440 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546596689.440 * [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))))))) 1546596689.440 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1546596689.440 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1546596689.440 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596689.440 * * [misc]simplify: iters left: 5 (7 enodes) 1546596689.442 * * [misc]simplify: iters left: 4 (12 enodes) 1546596689.443 * * [misc]simplify: iters left: 3 (18 enodes) 1546596689.446 * * [misc]simplify: iters left: 2 (20 enodes) 1546596689.448 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596689.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546596689.448 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1546596689.448 * [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))))) 1546596689.449 * * [misc]simplify: iters left: 6 (37 enodes) 1546596689.456 * * [misc]simplify: iters left: 5 (108 enodes) 1546596689.490 * * [misc]simplify: iters left: 4 (368 enodes) 1546596689.722 * [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)))))) 1546596689.722 * [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))) 1546596689.722 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1546596689.722 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546596689.722 * * [misc]simplify: iters left: 6 (15 enodes) 1546596689.728 * * [misc]simplify: iters left: 5 (33 enodes) 1546596689.739 * * [misc]simplify: iters left: 4 (64 enodes) 1546596689.758 * * [misc]simplify: iters left: 3 (179 enodes) 1546596689.867 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546596689.868 * [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))) 1546596689.868 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1546596689.868 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546596689.868 * * [misc]simplify: iters left: 6 (15 enodes) 1546596689.874 * * [misc]simplify: iters left: 5 (30 enodes) 1546596689.884 * * [misc]simplify: iters left: 4 (65 enodes) 1546596689.907 * * [misc]simplify: iters left: 3 (208 enodes) 1546596690.028 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546596690.028 * [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))) 1546596690.028 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1546596690.028 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596690.029 * * [misc]simplify: iters left: 4 (5 enodes) 1546596690.029 * * [misc]simplify: iters left: 3 (9 enodes) 1546596690.031 * * [misc]simplify: iters left: 2 (15 enodes) 1546596690.033 * * [misc]simplify: iters left: 1 (17 enodes) 1546596690.035 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596690.035 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546596690.035 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1546596690.035 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596690.035 * * [misc]simplify: iters left: 4 (5 enodes) 1546596690.036 * * [misc]simplify: iters left: 3 (9 enodes) 1546596690.038 * * [misc]simplify: iters left: 2 (15 enodes) 1546596690.040 * * [misc]simplify: iters left: 1 (17 enodes) 1546596690.042 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596690.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546596690.042 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1546596690.042 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596690.042 * * [misc]simplify: iters left: 4 (5 enodes) 1546596690.043 * * [misc]simplify: iters left: 3 (9 enodes) 1546596690.044 * * [misc]simplify: iters left: 2 (15 enodes) 1546596690.046 * * [misc]simplify: iters left: 1 (17 enodes) 1546596690.050 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596690.050 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546596690.050 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1546596690.050 * [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)))))))))))))))))))))) 1546596690.050 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596690.050 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1546596690.051 * [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)))))))) 1546596690.051 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596690.051 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1546596690.051 * [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))))))))))) 1546596690.051 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596690.051 * * * [misc]progress: adding candidates to table 1546596690.988 * * [misc]progress: iteration 2 / 4 1546596690.988 * * * [misc]progress: picking best candidate 1546596691.040 * * * * [misc]pick: Picked # 1546596691.040 * * * [misc]progress: localizing error 1546596691.054 * * * [misc]progress: generating rewritten candidates 1546596691.054 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546596691.058 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1546596691.060 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546596691.068 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546596691.072 * * * [misc]progress: generating series expansions 1546596691.072 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546596691.072 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546596691.072 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546596691.072 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.072 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.072 * [misc]taylor: Taking taylor expansion of k in k 1546596691.072 * [misc]backup-simplify: Simplify 0 into 0 1546596691.072 * [misc]backup-simplify: Simplify 1 into 1 1546596691.072 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.072 * [misc]backup-simplify: Simplify 2 into 2 1546596691.072 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596691.072 * [misc]taylor: Taking taylor expansion of n in k 1546596691.072 * [misc]backup-simplify: Simplify n into n 1546596691.072 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.072 * [misc]backup-simplify: Simplify PI into PI 1546596691.072 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596691.072 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596691.072 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596691.073 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.073 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.073 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.073 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596691.073 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596691.073 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.073 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.073 * [misc]taylor: Taking taylor expansion of k in n 1546596691.073 * [misc]backup-simplify: Simplify k into k 1546596691.073 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.073 * [misc]backup-simplify: Simplify 2 into 2 1546596691.073 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.073 * [misc]taylor: Taking taylor expansion of n in n 1546596691.073 * [misc]backup-simplify: Simplify 0 into 0 1546596691.073 * [misc]backup-simplify: Simplify 1 into 1 1546596691.073 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.073 * [misc]backup-simplify: Simplify PI into PI 1546596691.076 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.076 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.077 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.078 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.078 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596691.078 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596691.078 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596691.078 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.079 * [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)))) 1546596691.079 * [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))))) 1546596691.079 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.079 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.079 * [misc]taylor: Taking taylor expansion of k in n 1546596691.079 * [misc]backup-simplify: Simplify k into k 1546596691.079 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.079 * [misc]backup-simplify: Simplify 2 into 2 1546596691.079 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.079 * [misc]taylor: Taking taylor expansion of n in n 1546596691.079 * [misc]backup-simplify: Simplify 0 into 0 1546596691.079 * [misc]backup-simplify: Simplify 1 into 1 1546596691.079 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.079 * [misc]backup-simplify: Simplify PI into PI 1546596691.080 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.080 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.080 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.081 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.081 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.081 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596691.081 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596691.081 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596691.082 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.082 * [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)))) 1546596691.082 * [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))))) 1546596691.083 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.083 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.083 * [misc]taylor: Taking taylor expansion of k in k 1546596691.083 * [misc]backup-simplify: Simplify 0 into 0 1546596691.083 * [misc]backup-simplify: Simplify 1 into 1 1546596691.083 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of n in k 1546596691.083 * [misc]backup-simplify: Simplify n into n 1546596691.083 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596691.083 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596691.083 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.083 * [misc]backup-simplify: Simplify 2 into 2 1546596691.083 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.083 * [misc]backup-simplify: Simplify PI into PI 1546596691.083 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.083 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.083 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.084 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.084 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.084 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.084 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596691.085 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596691.085 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596691.086 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.086 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596691.088 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.088 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596691.088 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.089 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.089 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596691.090 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.090 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.090 * [misc]backup-simplify: Simplify 0 into 0 1546596691.090 * [misc]backup-simplify: Simplify 0 into 0 1546596691.091 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596691.091 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596691.093 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.093 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596691.093 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.093 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596691.095 * [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))))))) 1546596691.095 * [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))))))) 1546596691.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596691.101 * [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 1546596691.101 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596691.102 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.102 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.103 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596691.106 * [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 1546596691.106 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.106 * [misc]backup-simplify: Simplify 0 into 0 1546596691.106 * [misc]backup-simplify: Simplify 0 into 0 1546596691.106 * [misc]backup-simplify: Simplify 0 into 0 1546596691.107 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596691.108 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.113 * [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 1546596691.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596691.114 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.115 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596691.118 * [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))))) 1546596691.120 * [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))))) 1546596691.125 * [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))))) 1546596691.125 * [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)))) 1546596691.126 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546596691.126 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of k in k 1546596691.126 * [misc]backup-simplify: Simplify 0 into 0 1546596691.126 * [misc]backup-simplify: Simplify 1 into 1 1546596691.126 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.126 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.126 * [misc]backup-simplify: Simplify 2 into 2 1546596691.126 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.126 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.126 * [misc]backup-simplify: Simplify PI into PI 1546596691.126 * [misc]taylor: Taking taylor expansion of n in k 1546596691.126 * [misc]backup-simplify: Simplify n into n 1546596691.126 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.127 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596691.127 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596691.127 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.127 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.127 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.127 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596691.128 * [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)))) 1546596691.128 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of k in n 1546596691.128 * [misc]backup-simplify: Simplify k into k 1546596691.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.128 * [misc]backup-simplify: Simplify 2 into 2 1546596691.128 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.128 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.128 * [misc]backup-simplify: Simplify PI into PI 1546596691.128 * [misc]taylor: Taking taylor expansion of n in n 1546596691.128 * [misc]backup-simplify: Simplify 0 into 0 1546596691.128 * [misc]backup-simplify: Simplify 1 into 1 1546596691.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.130 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.130 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.131 * [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))) 1546596691.132 * [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)))) 1546596691.132 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of k in n 1546596691.132 * [misc]backup-simplify: Simplify k into k 1546596691.132 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.132 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.132 * [misc]backup-simplify: Simplify 2 into 2 1546596691.132 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.132 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.132 * [misc]backup-simplify: Simplify PI into PI 1546596691.132 * [misc]taylor: Taking taylor expansion of n in n 1546596691.132 * [misc]backup-simplify: Simplify 0 into 0 1546596691.132 * [misc]backup-simplify: Simplify 1 into 1 1546596691.133 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.133 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.133 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.133 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.133 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.134 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.134 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.135 * [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))) 1546596691.136 * [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)))) 1546596691.136 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of k in k 1546596691.136 * [misc]backup-simplify: Simplify 0 into 0 1546596691.136 * [misc]backup-simplify: Simplify 1 into 1 1546596691.136 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.136 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596691.136 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.136 * [misc]backup-simplify: Simplify 2 into 2 1546596691.136 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.136 * [misc]backup-simplify: Simplify PI into PI 1546596691.137 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.137 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.137 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596691.137 * [misc]taylor: Taking taylor expansion of n in k 1546596691.137 * [misc]backup-simplify: Simplify n into n 1546596691.137 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596691.137 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.138 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.138 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.138 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596691.138 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596691.139 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596691.139 * [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)))) 1546596691.140 * [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)))) 1546596691.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.142 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596691.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.145 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.145 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.147 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596691.148 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.148 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.149 * [misc]backup-simplify: Simplify 0 into 0 1546596691.149 * [misc]backup-simplify: Simplify 0 into 0 1546596691.149 * [misc]backup-simplify: Simplify 0 into 0 1546596691.150 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.156 * [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 1546596691.157 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596691.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596691.157 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.157 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.159 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596691.161 * [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 1546596691.161 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.161 * [misc]backup-simplify: Simplify 0 into 0 1546596691.161 * [misc]backup-simplify: Simplify 0 into 0 1546596691.161 * [misc]backup-simplify: Simplify 0 into 0 1546596691.161 * [misc]backup-simplify: Simplify 0 into 0 1546596691.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.173 * [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 1546596691.174 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596691.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596691.174 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.175 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.176 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596691.180 * [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 1546596691.180 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.180 * [misc]backup-simplify: Simplify 0 into 0 1546596691.180 * [misc]backup-simplify: Simplify 0 into 0 1546596691.181 * [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))))) 1546596691.181 * [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)) 1546596691.181 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546596691.181 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596691.181 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596691.181 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596691.181 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.181 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.182 * [misc]taylor: Taking taylor expansion of k in k 1546596691.182 * [misc]backup-simplify: Simplify 0 into 0 1546596691.182 * [misc]backup-simplify: Simplify 1 into 1 1546596691.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.182 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596691.182 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596691.182 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.182 * [misc]backup-simplify: Simplify -2 into -2 1546596691.182 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.182 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.182 * [misc]backup-simplify: Simplify PI into PI 1546596691.182 * [misc]taylor: Taking taylor expansion of n in k 1546596691.182 * [misc]backup-simplify: Simplify n into n 1546596691.182 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.182 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596691.182 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596691.182 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.183 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.183 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596691.183 * [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))) 1546596691.183 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.183 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of k in n 1546596691.183 * [misc]backup-simplify: Simplify k into k 1546596691.183 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.183 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.183 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.184 * [misc]backup-simplify: Simplify -2 into -2 1546596691.184 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.184 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.184 * [misc]backup-simplify: Simplify PI into PI 1546596691.184 * [misc]taylor: Taking taylor expansion of n in n 1546596691.184 * [misc]backup-simplify: Simplify 0 into 0 1546596691.184 * [misc]backup-simplify: Simplify 1 into 1 1546596691.184 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.184 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.185 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.185 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.185 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.186 * [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))) 1546596691.187 * [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)))) 1546596691.187 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of k in n 1546596691.187 * [misc]backup-simplify: Simplify k into k 1546596691.187 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.187 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.187 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.188 * [misc]backup-simplify: Simplify -2 into -2 1546596691.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.188 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.188 * [misc]backup-simplify: Simplify PI into PI 1546596691.188 * [misc]taylor: Taking taylor expansion of n in n 1546596691.188 * [misc]backup-simplify: Simplify 0 into 0 1546596691.188 * [misc]backup-simplify: Simplify 1 into 1 1546596691.188 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.188 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.189 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.189 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.189 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.189 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.190 * [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))) 1546596691.191 * [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)))) 1546596691.191 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of k in k 1546596691.191 * [misc]backup-simplify: Simplify 0 into 0 1546596691.191 * [misc]backup-simplify: Simplify 1 into 1 1546596691.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.191 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596691.191 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.191 * [misc]backup-simplify: Simplify -2 into -2 1546596691.191 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.191 * [misc]backup-simplify: Simplify PI into PI 1546596691.192 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.192 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.192 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596691.192 * [misc]taylor: Taking taylor expansion of n in k 1546596691.192 * [misc]backup-simplify: Simplify n into n 1546596691.192 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596691.193 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.193 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.193 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596691.193 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596691.194 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596691.194 * [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)))) 1546596691.195 * [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)))) 1546596691.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.197 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596691.200 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596691.200 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.200 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.201 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596691.203 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.203 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.203 * [misc]backup-simplify: Simplify 0 into 0 1546596691.203 * [misc]backup-simplify: Simplify 0 into 0 1546596691.203 * [misc]backup-simplify: Simplify 0 into 0 1546596691.205 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.206 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.211 * [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 1546596691.211 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596691.211 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596691.212 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.212 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.213 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596691.215 * [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 1546596691.215 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.215 * [misc]backup-simplify: Simplify 0 into 0 1546596691.215 * [misc]backup-simplify: Simplify 0 into 0 1546596691.216 * [misc]backup-simplify: Simplify 0 into 0 1546596691.216 * [misc]backup-simplify: Simplify 0 into 0 1546596691.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.219 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.226 * [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 1546596691.226 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596691.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596691.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.227 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.227 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546596691.230 * [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 1546596691.230 * [misc]taylor: Taking taylor expansion of 0 in k 1546596691.230 * [misc]backup-simplify: Simplify 0 into 0 1546596691.231 * [misc]backup-simplify: Simplify 0 into 0 1546596691.231 * [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))))) 1546596691.231 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1546596691.231 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546596691.231 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546596691.231 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.231 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.231 * [misc]backup-simplify: Simplify 2 into 2 1546596691.231 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.231 * [misc]taylor: Taking taylor expansion of n in n 1546596691.231 * [misc]backup-simplify: Simplify 0 into 0 1546596691.231 * [misc]backup-simplify: Simplify 1 into 1 1546596691.231 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.231 * [misc]backup-simplify: Simplify PI into PI 1546596691.231 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.231 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.231 * [misc]backup-simplify: Simplify 2 into 2 1546596691.231 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.231 * [misc]taylor: Taking taylor expansion of n in n 1546596691.231 * [misc]backup-simplify: Simplify 0 into 0 1546596691.232 * [misc]backup-simplify: Simplify 1 into 1 1546596691.232 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.232 * [misc]backup-simplify: Simplify PI into PI 1546596691.232 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.232 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.232 * [misc]backup-simplify: Simplify 0 into 0 1546596691.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.233 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.233 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.234 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.234 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596691.234 * [misc]backup-simplify: Simplify 0 into 0 1546596691.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.236 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596691.236 * [misc]backup-simplify: Simplify 0 into 0 1546596691.237 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596691.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546596691.239 * [misc]backup-simplify: Simplify 0 into 0 1546596691.240 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596691.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546596691.242 * [misc]backup-simplify: Simplify 0 into 0 1546596691.244 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596691.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546596691.246 * [misc]backup-simplify: Simplify 0 into 0 1546596691.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546596691.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546596691.251 * [misc]backup-simplify: Simplify 0 into 0 1546596691.251 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546596691.251 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546596691.251 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546596691.251 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.251 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.251 * [misc]backup-simplify: Simplify 2 into 2 1546596691.251 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.251 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.251 * [misc]backup-simplify: Simplify PI into PI 1546596691.251 * [misc]taylor: Taking taylor expansion of n in n 1546596691.251 * [misc]backup-simplify: Simplify 0 into 0 1546596691.251 * [misc]backup-simplify: Simplify 1 into 1 1546596691.251 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.251 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.251 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.251 * [misc]backup-simplify: Simplify 2 into 2 1546596691.251 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.251 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.252 * [misc]backup-simplify: Simplify PI into PI 1546596691.252 * [misc]taylor: Taking taylor expansion of n in n 1546596691.252 * [misc]backup-simplify: Simplify 0 into 0 1546596691.252 * [misc]backup-simplify: Simplify 1 into 1 1546596691.252 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.252 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.252 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596691.254 * [misc]backup-simplify: Simplify 0 into 0 1546596691.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.257 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.257 * [misc]backup-simplify: Simplify 0 into 0 1546596691.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.260 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.260 * [misc]backup-simplify: Simplify 0 into 0 1546596691.262 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.264 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596691.264 * [misc]backup-simplify: Simplify 0 into 0 1546596691.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596691.269 * [misc]backup-simplify: Simplify 0 into 0 1546596691.271 * [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 1546596691.275 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596691.275 * [misc]backup-simplify: Simplify 0 into 0 1546596691.275 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546596691.275 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546596691.275 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546596691.275 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.275 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.275 * [misc]backup-simplify: Simplify -2 into -2 1546596691.275 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.275 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.275 * [misc]backup-simplify: Simplify PI into PI 1546596691.275 * [misc]taylor: Taking taylor expansion of n in n 1546596691.275 * [misc]backup-simplify: Simplify 0 into 0 1546596691.276 * [misc]backup-simplify: Simplify 1 into 1 1546596691.276 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.276 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.276 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.276 * [misc]backup-simplify: Simplify -2 into -2 1546596691.276 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.276 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.276 * [misc]backup-simplify: Simplify PI into PI 1546596691.276 * [misc]taylor: Taking taylor expansion of n in n 1546596691.276 * [misc]backup-simplify: Simplify 0 into 0 1546596691.276 * [misc]backup-simplify: Simplify 1 into 1 1546596691.276 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.277 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.277 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.279 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.279 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596691.279 * [misc]backup-simplify: Simplify 0 into 0 1546596691.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.282 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.282 * [misc]backup-simplify: Simplify 0 into 0 1546596691.283 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.285 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.285 * [misc]backup-simplify: Simplify 0 into 0 1546596691.287 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.289 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596691.289 * [misc]backup-simplify: Simplify 0 into 0 1546596691.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.294 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596691.294 * [misc]backup-simplify: Simplify 0 into 0 1546596691.297 * [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 1546596691.300 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596691.300 * [misc]backup-simplify: Simplify 0 into 0 1546596691.300 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546596691.300 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546596691.301 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1546596691.301 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546596691.301 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.301 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.301 * [misc]taylor: Taking taylor expansion of k in n 1546596691.301 * [misc]backup-simplify: Simplify k into k 1546596691.301 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.301 * [misc]backup-simplify: Simplify 2 into 2 1546596691.301 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.301 * [misc]taylor: Taking taylor expansion of n in n 1546596691.301 * [misc]backup-simplify: Simplify 0 into 0 1546596691.301 * [misc]backup-simplify: Simplify 1 into 1 1546596691.301 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.301 * [misc]backup-simplify: Simplify PI into PI 1546596691.302 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.302 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.303 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.304 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.304 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.304 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596691.304 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596691.304 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596691.305 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.306 * [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)))) 1546596691.306 * [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))))) 1546596691.307 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1546596691.307 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596691.307 * [misc]taylor: Taking taylor expansion of k in n 1546596691.307 * [misc]backup-simplify: Simplify k into k 1546596691.307 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596691.307 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596691.307 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.308 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.308 * [misc]taylor: Taking taylor expansion of k in k 1546596691.308 * [misc]backup-simplify: Simplify 0 into 0 1546596691.308 * [misc]backup-simplify: Simplify 1 into 1 1546596691.308 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.308 * [misc]backup-simplify: Simplify 2 into 2 1546596691.308 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596691.308 * [misc]taylor: Taking taylor expansion of n in k 1546596691.308 * [misc]backup-simplify: Simplify n into n 1546596691.308 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.308 * [misc]backup-simplify: Simplify PI into PI 1546596691.308 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596691.308 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596691.308 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596691.309 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.309 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.309 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.309 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596691.309 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596691.309 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546596691.309 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596691.309 * [misc]taylor: Taking taylor expansion of k in k 1546596691.309 * [misc]backup-simplify: Simplify 0 into 0 1546596691.309 * [misc]backup-simplify: Simplify 1 into 1 1546596691.310 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.310 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.310 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.310 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.310 * [misc]taylor: Taking taylor expansion of k in k 1546596691.310 * [misc]backup-simplify: Simplify 0 into 0 1546596691.310 * [misc]backup-simplify: Simplify 1 into 1 1546596691.310 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596691.311 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596691.311 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.311 * [misc]backup-simplify: Simplify 2 into 2 1546596691.311 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596691.311 * [misc]taylor: Taking taylor expansion of n in k 1546596691.311 * [misc]backup-simplify: Simplify n into n 1546596691.311 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.311 * [misc]backup-simplify: Simplify PI into PI 1546596691.311 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596691.311 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596691.311 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596691.311 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.311 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.311 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.312 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596691.312 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596691.312 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546596691.312 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596691.312 * [misc]taylor: Taking taylor expansion of k in k 1546596691.312 * [misc]backup-simplify: Simplify 0 into 0 1546596691.312 * [misc]backup-simplify: Simplify 1 into 1 1546596691.312 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.313 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.313 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546596691.313 * [misc]taylor: Taking taylor expansion of 0 in n 1546596691.313 * [misc]backup-simplify: Simplify 0 into 0 1546596691.313 * [misc]backup-simplify: Simplify 0 into 0 1546596691.313 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546596691.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546596691.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546596691.315 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596691.315 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.315 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.315 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546596691.316 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546596691.316 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1546596691.317 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1546596691.318 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.318 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.318 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.318 * [misc]taylor: Taking taylor expansion of n in n 1546596691.318 * [misc]backup-simplify: Simplify 0 into 0 1546596691.318 * [misc]backup-simplify: Simplify 1 into 1 1546596691.318 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.318 * [misc]backup-simplify: Simplify PI into PI 1546596691.318 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.319 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.319 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596691.319 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.320 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596691.320 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596691.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.320 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596691.320 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596691.322 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.322 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546596691.324 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.325 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.326 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.326 * [misc]backup-simplify: Simplify 0 into 0 1546596691.327 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.328 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.329 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546596691.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546596691.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596691.331 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546596691.332 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546596691.335 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1546596691.339 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1546596691.339 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.339 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.339 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.339 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.340 * [misc]backup-simplify: Simplify 2 into 2 1546596691.340 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.340 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546596691.340 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.340 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.340 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.340 * [misc]backup-simplify: Simplify 2 into 2 1546596691.340 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.340 * [misc]taylor: Taking taylor expansion of n in n 1546596691.340 * [misc]backup-simplify: Simplify 0 into 0 1546596691.340 * [misc]backup-simplify: Simplify 1 into 1 1546596691.340 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.340 * [misc]backup-simplify: Simplify PI into PI 1546596691.341 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.341 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.342 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.343 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.343 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546596691.343 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596691.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.343 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596691.343 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596691.343 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596691.343 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596691.343 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.343 * [misc]taylor: Taking taylor expansion of n in n 1546596691.343 * [misc]backup-simplify: Simplify 0 into 0 1546596691.343 * [misc]backup-simplify: Simplify 1 into 1 1546596691.343 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.343 * [misc]backup-simplify: Simplify PI into PI 1546596691.344 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.344 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596691.344 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.345 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596691.345 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.345 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.345 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.345 * [misc]taylor: Taking taylor expansion of n in n 1546596691.345 * [misc]backup-simplify: Simplify 0 into 0 1546596691.345 * [misc]backup-simplify: Simplify 1 into 1 1546596691.345 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.345 * [misc]backup-simplify: Simplify PI into PI 1546596691.345 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.346 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596691.346 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.346 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596691.346 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596691.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.346 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596691.346 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596691.347 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.347 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546596691.348 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1546596691.349 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1546596691.349 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.349 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546596691.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596691.352 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.353 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546596691.353 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546596691.354 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546596691.355 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546596691.358 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546596691.359 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.359 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546596691.360 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.361 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596691.365 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596691.369 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596691.374 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596691.376 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546596691.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.378 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546596691.380 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546596691.382 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596691.386 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596691.388 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596691.389 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596691.399 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546596691.400 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1546596691.400 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546596691.400 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of k in n 1546596691.400 * [misc]backup-simplify: Simplify k into k 1546596691.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.400 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.400 * [misc]backup-simplify: Simplify 2 into 2 1546596691.400 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.400 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.400 * [misc]backup-simplify: Simplify PI into PI 1546596691.401 * [misc]taylor: Taking taylor expansion of n in n 1546596691.401 * [misc]backup-simplify: Simplify 0 into 0 1546596691.401 * [misc]backup-simplify: Simplify 1 into 1 1546596691.401 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.401 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.402 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.402 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.402 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.402 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.403 * [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))) 1546596691.404 * [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)))) 1546596691.405 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596691.405 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596691.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.405 * [misc]taylor: Taking taylor expansion of k in n 1546596691.405 * [misc]backup-simplify: Simplify k into k 1546596691.405 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.405 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596691.405 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596691.405 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.405 * [misc]taylor: Taking taylor expansion of k in k 1546596691.406 * [misc]backup-simplify: Simplify 0 into 0 1546596691.406 * [misc]backup-simplify: Simplify 1 into 1 1546596691.406 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.406 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596691.406 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596691.406 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.406 * [misc]backup-simplify: Simplify 2 into 2 1546596691.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.406 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.406 * [misc]backup-simplify: Simplify PI into PI 1546596691.406 * [misc]taylor: Taking taylor expansion of n in k 1546596691.406 * [misc]backup-simplify: Simplify n into n 1546596691.406 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.406 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596691.406 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596691.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.406 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.407 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.407 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596691.407 * [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)))) 1546596691.407 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596691.407 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596691.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.407 * [misc]taylor: Taking taylor expansion of k in k 1546596691.407 * [misc]backup-simplify: Simplify 0 into 0 1546596691.407 * [misc]backup-simplify: Simplify 1 into 1 1546596691.407 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.408 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.408 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.408 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.408 * [misc]taylor: Taking taylor expansion of k in k 1546596691.408 * [misc]backup-simplify: Simplify 0 into 0 1546596691.408 * [misc]backup-simplify: Simplify 1 into 1 1546596691.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.409 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596691.409 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596691.409 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.409 * [misc]backup-simplify: Simplify 2 into 2 1546596691.409 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.409 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.409 * [misc]backup-simplify: Simplify PI into PI 1546596691.409 * [misc]taylor: Taking taylor expansion of n in k 1546596691.409 * [misc]backup-simplify: Simplify n into n 1546596691.409 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.409 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596691.409 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596691.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.409 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.409 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.410 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596691.410 * [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)))) 1546596691.410 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596691.410 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596691.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.410 * [misc]taylor: Taking taylor expansion of k in k 1546596691.410 * [misc]backup-simplify: Simplify 0 into 0 1546596691.410 * [misc]backup-simplify: Simplify 1 into 1 1546596691.410 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.410 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.411 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.411 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546596691.411 * [misc]taylor: Taking taylor expansion of 0 in n 1546596691.411 * [misc]backup-simplify: Simplify 0 into 0 1546596691.411 * [misc]backup-simplify: Simplify 0 into 0 1546596691.411 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596691.412 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596691.412 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.412 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.412 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of k in n 1546596691.412 * [misc]backup-simplify: Simplify k into k 1546596691.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.412 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.412 * [misc]backup-simplify: Simplify 2 into 2 1546596691.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.412 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.412 * [misc]backup-simplify: Simplify PI into PI 1546596691.412 * [misc]taylor: Taking taylor expansion of n in n 1546596691.412 * [misc]backup-simplify: Simplify 0 into 0 1546596691.412 * [misc]backup-simplify: Simplify 1 into 1 1546596691.412 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.412 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.413 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.413 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.413 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.414 * [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))) 1546596691.414 * [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)))) 1546596691.415 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596691.415 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596691.416 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.416 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.416 * [misc]backup-simplify: Simplify 0 into 0 1546596691.416 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596691.417 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596691.418 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596691.418 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.418 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.418 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of k in n 1546596691.418 * [misc]backup-simplify: Simplify k into k 1546596691.418 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.418 * [misc]backup-simplify: Simplify 2 into 2 1546596691.418 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.418 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.418 * [misc]backup-simplify: Simplify PI into PI 1546596691.418 * [misc]taylor: Taking taylor expansion of n in n 1546596691.418 * [misc]backup-simplify: Simplify 0 into 0 1546596691.418 * [misc]backup-simplify: Simplify 1 into 1 1546596691.418 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.418 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.419 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.419 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.419 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.419 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.420 * [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))) 1546596691.420 * [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)))) 1546596691.420 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596691.421 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596691.421 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.422 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.423 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596691.424 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.425 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.425 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.426 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596691.427 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1546596691.428 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546596691.428 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.428 * [misc]backup-simplify: Simplify 0 into 0 1546596691.428 * [misc]backup-simplify: Simplify 0 into 0 1546596691.428 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.429 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596691.430 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596691.430 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596691.430 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.430 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.430 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of k in n 1546596691.430 * [misc]backup-simplify: Simplify k into k 1546596691.430 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.430 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.430 * [misc]backup-simplify: Simplify 2 into 2 1546596691.430 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.430 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.430 * [misc]backup-simplify: Simplify PI into PI 1546596691.430 * [misc]taylor: Taking taylor expansion of n in n 1546596691.430 * [misc]backup-simplify: Simplify 0 into 0 1546596691.430 * [misc]backup-simplify: Simplify 1 into 1 1546596691.431 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.431 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.431 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.431 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.431 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.431 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.432 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.432 * [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))) 1546596691.433 * [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)))) 1546596691.433 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596691.433 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596691.434 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.434 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596691.436 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546596691.436 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1546596691.436 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546596691.436 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.436 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596691.436 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596691.436 * [misc]taylor: Taking taylor expansion of -1 in n 1546596691.436 * [misc]backup-simplify: Simplify -1 into -1 1546596691.436 * [misc]taylor: Taking taylor expansion of k in n 1546596691.436 * [misc]backup-simplify: Simplify k into k 1546596691.436 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596691.436 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596691.436 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596691.436 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596691.436 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596691.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.437 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of k in n 1546596691.437 * [misc]backup-simplify: Simplify k into k 1546596691.437 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.437 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.437 * [misc]backup-simplify: Simplify -2 into -2 1546596691.437 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.437 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.437 * [misc]backup-simplify: Simplify PI into PI 1546596691.437 * [misc]taylor: Taking taylor expansion of n in n 1546596691.437 * [misc]backup-simplify: Simplify 0 into 0 1546596691.437 * [misc]backup-simplify: Simplify 1 into 1 1546596691.437 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.437 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.438 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.438 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.438 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.439 * [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))) 1546596691.439 * [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)))) 1546596691.439 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596691.440 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546596691.440 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596691.440 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596691.440 * [misc]taylor: Taking taylor expansion of -1 in k 1546596691.440 * [misc]backup-simplify: Simplify -1 into -1 1546596691.440 * [misc]taylor: Taking taylor expansion of k in k 1546596691.440 * [misc]backup-simplify: Simplify 0 into 0 1546596691.440 * [misc]backup-simplify: Simplify 1 into 1 1546596691.440 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596691.440 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.440 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596691.440 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.441 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of k in k 1546596691.441 * [misc]backup-simplify: Simplify 0 into 0 1546596691.441 * [misc]backup-simplify: Simplify 1 into 1 1546596691.441 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.441 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.441 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.441 * [misc]backup-simplify: Simplify -2 into -2 1546596691.441 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.441 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.441 * [misc]backup-simplify: Simplify PI into PI 1546596691.441 * [misc]taylor: Taking taylor expansion of n in k 1546596691.441 * [misc]backup-simplify: Simplify n into n 1546596691.441 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.441 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596691.441 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596691.442 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.442 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.442 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596691.442 * [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))) 1546596691.442 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546596691.442 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546596691.442 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596691.442 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596691.442 * [misc]taylor: Taking taylor expansion of -1 in k 1546596691.442 * [misc]backup-simplify: Simplify -1 into -1 1546596691.442 * [misc]taylor: Taking taylor expansion of k in k 1546596691.443 * [misc]backup-simplify: Simplify 0 into 0 1546596691.443 * [misc]backup-simplify: Simplify 1 into 1 1546596691.443 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596691.443 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.443 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596691.443 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596691.443 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596691.443 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596691.443 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of k in k 1546596691.444 * [misc]backup-simplify: Simplify 0 into 0 1546596691.444 * [misc]backup-simplify: Simplify 1 into 1 1546596691.444 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.444 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.444 * [misc]backup-simplify: Simplify -2 into -2 1546596691.444 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.444 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.444 * [misc]backup-simplify: Simplify PI into PI 1546596691.444 * [misc]taylor: Taking taylor expansion of n in k 1546596691.444 * [misc]backup-simplify: Simplify n into n 1546596691.444 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.444 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596691.444 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596691.445 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.445 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596691.445 * [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))) 1546596691.445 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546596691.445 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.445 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.445 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.445 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.445 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.446 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.446 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.446 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.446 * [misc]backup-simplify: Simplify -2 into -2 1546596691.446 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.446 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.446 * [misc]backup-simplify: Simplify PI into PI 1546596691.446 * [misc]taylor: Taking taylor expansion of n in n 1546596691.446 * [misc]backup-simplify: Simplify 0 into 0 1546596691.446 * [misc]backup-simplify: Simplify 1 into 1 1546596691.446 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.446 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.447 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.447 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.447 * [misc]taylor: Taking taylor expansion of k in n 1546596691.447 * [misc]backup-simplify: Simplify k into k 1546596691.447 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.448 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.448 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.448 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.449 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.449 * [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)))) 1546596691.450 * [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))))) 1546596691.451 * [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))))) 1546596691.451 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596691.452 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.453 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546596691.453 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.453 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.453 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.453 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.453 * [misc]backup-simplify: Simplify -2 into -2 1546596691.454 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.454 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.454 * [misc]backup-simplify: Simplify PI into PI 1546596691.454 * [misc]taylor: Taking taylor expansion of n in n 1546596691.454 * [misc]backup-simplify: Simplify 0 into 0 1546596691.454 * [misc]backup-simplify: Simplify 1 into 1 1546596691.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.454 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.455 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.455 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.455 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.455 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.455 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.455 * [misc]taylor: Taking taylor expansion of k in n 1546596691.455 * [misc]backup-simplify: Simplify k into k 1546596691.455 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.455 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.456 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.456 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.457 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.457 * [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)))) 1546596691.458 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596691.458 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596691.459 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596691.460 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596691.461 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.461 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.461 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.463 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596691.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596691.466 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546596691.468 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.470 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1546596691.470 * [misc]backup-simplify: Simplify 0 into 0 1546596691.470 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.471 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596691.472 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546596691.472 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.473 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.473 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.473 * [misc]backup-simplify: Simplify -2 into -2 1546596691.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.473 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.473 * [misc]backup-simplify: Simplify PI into PI 1546596691.473 * [misc]taylor: Taking taylor expansion of n in n 1546596691.473 * [misc]backup-simplify: Simplify 0 into 0 1546596691.473 * [misc]backup-simplify: Simplify 1 into 1 1546596691.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.474 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.474 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.474 * [misc]taylor: Taking taylor expansion of k in n 1546596691.474 * [misc]backup-simplify: Simplify k into k 1546596691.474 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.475 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.475 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.475 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.476 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.476 * [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)))) 1546596691.477 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596691.478 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596691.478 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596691.479 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596691.482 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546596691.482 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546596691.482 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546596691.482 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546596691.482 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596691.482 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596691.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.482 * [misc]taylor: Taking taylor expansion of k in n 1546596691.482 * [misc]backup-simplify: Simplify k into k 1546596691.482 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.483 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596691.483 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.483 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596691.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.483 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.483 * [misc]taylor: Taking taylor expansion of k in n 1546596691.483 * [misc]backup-simplify: Simplify k into k 1546596691.483 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.483 * [misc]backup-simplify: Simplify 2 into 2 1546596691.483 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.483 * [misc]taylor: Taking taylor expansion of n in n 1546596691.483 * [misc]backup-simplify: Simplify 0 into 0 1546596691.483 * [misc]backup-simplify: Simplify 1 into 1 1546596691.483 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.483 * [misc]backup-simplify: Simplify PI into PI 1546596691.484 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.484 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.485 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.485 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.486 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.486 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596691.486 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596691.486 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596691.486 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.487 * [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)))) 1546596691.488 * [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))))) 1546596691.488 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596691.488 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596691.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.488 * [misc]taylor: Taking taylor expansion of k in k 1546596691.488 * [misc]backup-simplify: Simplify 0 into 0 1546596691.488 * [misc]backup-simplify: Simplify 1 into 1 1546596691.488 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.488 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.489 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.489 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.489 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.489 * [misc]taylor: Taking taylor expansion of k in k 1546596691.489 * [misc]backup-simplify: Simplify 0 into 0 1546596691.489 * [misc]backup-simplify: Simplify 1 into 1 1546596691.489 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.489 * [misc]backup-simplify: Simplify 2 into 2 1546596691.489 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596691.489 * [misc]taylor: Taking taylor expansion of n in k 1546596691.489 * [misc]backup-simplify: Simplify n into n 1546596691.489 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.489 * [misc]backup-simplify: Simplify PI into PI 1546596691.489 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596691.489 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596691.489 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596691.489 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.490 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.490 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.490 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596691.490 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596691.490 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596691.490 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596691.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.490 * [misc]taylor: Taking taylor expansion of k in k 1546596691.490 * [misc]backup-simplify: Simplify 0 into 0 1546596691.490 * [misc]backup-simplify: Simplify 1 into 1 1546596691.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.491 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.491 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.491 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.491 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.491 * [misc]taylor: Taking taylor expansion of k in k 1546596691.491 * [misc]backup-simplify: Simplify 0 into 0 1546596691.491 * [misc]backup-simplify: Simplify 1 into 1 1546596691.491 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.491 * [misc]backup-simplify: Simplify 2 into 2 1546596691.491 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596691.491 * [misc]taylor: Taking taylor expansion of n in k 1546596691.491 * [misc]backup-simplify: Simplify n into n 1546596691.491 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.492 * [misc]backup-simplify: Simplify PI into PI 1546596691.492 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596691.492 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596691.492 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596691.492 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596691.492 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.492 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.492 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596691.492 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596691.493 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546596691.493 * [misc]taylor: Taking taylor expansion of 0 in n 1546596691.493 * [misc]backup-simplify: Simplify 0 into 0 1546596691.493 * [misc]backup-simplify: Simplify 0 into 0 1546596691.493 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546596691.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546596691.494 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546596691.494 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596691.495 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.495 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.495 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546596691.495 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546596691.496 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546596691.496 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.496 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.496 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.496 * [misc]backup-simplify: Simplify 2 into 2 1546596691.496 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.496 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.496 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.496 * [misc]taylor: Taking taylor expansion of n in n 1546596691.496 * [misc]backup-simplify: Simplify 0 into 0 1546596691.496 * [misc]backup-simplify: Simplify 1 into 1 1546596691.496 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.497 * [misc]backup-simplify: Simplify PI into PI 1546596691.497 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.497 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.498 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.498 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.498 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596691.498 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.499 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.499 * [misc]backup-simplify: Simplify 0 into 0 1546596691.499 * [misc]backup-simplify: Simplify 0 into 0 1546596691.499 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546596691.500 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546596691.501 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546596691.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596691.502 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546596691.504 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546596691.505 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596691.507 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.507 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1546596691.507 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.508 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.508 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.508 * [misc]backup-simplify: Simplify 2 into 2 1546596691.508 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.508 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.508 * [misc]backup-simplify: Simplify 2 into 2 1546596691.508 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.508 * [misc]taylor: Taking taylor expansion of n in n 1546596691.508 * [misc]backup-simplify: Simplify 0 into 0 1546596691.508 * [misc]backup-simplify: Simplify 1 into 1 1546596691.508 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.508 * [misc]backup-simplify: Simplify PI into PI 1546596691.509 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.509 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.509 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.510 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.511 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.511 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.511 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.511 * [misc]taylor: Taking taylor expansion of n in n 1546596691.511 * [misc]backup-simplify: Simplify 0 into 0 1546596691.511 * [misc]backup-simplify: Simplify 1 into 1 1546596691.511 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.511 * [misc]backup-simplify: Simplify PI into PI 1546596691.511 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.512 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.512 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.512 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.512 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596691.512 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596691.512 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.512 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.513 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596691.513 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.513 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.513 * [misc]backup-simplify: Simplify 2 into 2 1546596691.513 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.513 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.513 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.513 * [misc]taylor: Taking taylor expansion of n in n 1546596691.513 * [misc]backup-simplify: Simplify 0 into 0 1546596691.513 * [misc]backup-simplify: Simplify 1 into 1 1546596691.513 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.513 * [misc]backup-simplify: Simplify PI into PI 1546596691.513 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.514 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.515 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.515 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.516 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546596691.517 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546596691.517 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.517 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596691.517 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.517 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.518 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.518 * [misc]backup-simplify: Simplify 0 into 0 1546596691.519 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.521 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.522 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.523 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.523 * [misc]backup-simplify: Simplify 0 into 0 1546596691.524 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596691.525 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546596691.528 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1546596691.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546596691.528 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546596691.531 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1546596691.531 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.532 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596691.534 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1546596691.534 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.534 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.534 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.534 * [misc]backup-simplify: Simplify 2 into 2 1546596691.534 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.534 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.534 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.534 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.534 * [misc]backup-simplify: Simplify 2 into 2 1546596691.535 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.535 * [misc]taylor: Taking taylor expansion of n in n 1546596691.535 * [misc]backup-simplify: Simplify 0 into 0 1546596691.535 * [misc]backup-simplify: Simplify 1 into 1 1546596691.535 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.535 * [misc]backup-simplify: Simplify PI into PI 1546596691.535 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.535 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.536 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.536 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.537 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.537 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.537 * [misc]taylor: Taking taylor expansion of n in n 1546596691.537 * [misc]backup-simplify: Simplify 0 into 0 1546596691.537 * [misc]backup-simplify: Simplify 1 into 1 1546596691.537 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.537 * [misc]backup-simplify: Simplify PI into PI 1546596691.537 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.538 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.538 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.539 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.539 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.539 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.539 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.539 * [misc]backup-simplify: Simplify 2 into 2 1546596691.539 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.539 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.539 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596691.539 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596691.540 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.540 * [misc]backup-simplify: Simplify 2 into 2 1546596691.540 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.540 * [misc]taylor: Taking taylor expansion of n in n 1546596691.540 * [misc]backup-simplify: Simplify 0 into 0 1546596691.540 * [misc]backup-simplify: Simplify 1 into 1 1546596691.540 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.540 * [misc]backup-simplify: Simplify PI into PI 1546596691.540 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.540 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596691.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.541 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596691.542 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.543 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.543 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.543 * [misc]taylor: Taking taylor expansion of n in n 1546596691.543 * [misc]backup-simplify: Simplify 0 into 0 1546596691.543 * [misc]backup-simplify: Simplify 1 into 1 1546596691.543 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.543 * [misc]backup-simplify: Simplify PI into PI 1546596691.543 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.544 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.544 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.544 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.544 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.544 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.544 * [misc]backup-simplify: Simplify 2 into 2 1546596691.544 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596691.544 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596691.544 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596691.544 * [misc]taylor: Taking taylor expansion of n in n 1546596691.544 * [misc]backup-simplify: Simplify 0 into 0 1546596691.544 * [misc]backup-simplify: Simplify 1 into 1 1546596691.544 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.544 * [misc]backup-simplify: Simplify PI into PI 1546596691.545 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596691.545 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596691.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.545 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596691.546 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.546 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546596691.547 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546596691.547 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.547 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.548 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.548 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546596691.549 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546596691.549 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546596691.549 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.549 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.550 * [misc]backup-simplify: Simplify 0 into 0 1546596691.551 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596691.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.553 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596691.554 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596691.554 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546596691.556 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546596691.557 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.558 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.559 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596691.561 * [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)))))))))) 1546596691.563 * [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))))))) 1546596691.565 * [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))))))) 1546596691.566 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596691.566 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546596691.567 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546596691.569 * [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)))) 1546596691.571 * [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)))) 1546596691.572 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546596691.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546596691.580 * [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))))))))))))) 1546596691.580 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596691.580 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546596691.580 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of k in n 1546596691.580 * [misc]backup-simplify: Simplify k into k 1546596691.580 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596691.580 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596691.580 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.581 * [misc]taylor: Taking taylor expansion of k in n 1546596691.581 * [misc]backup-simplify: Simplify k into k 1546596691.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.581 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.581 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.581 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.581 * [misc]backup-simplify: Simplify 2 into 2 1546596691.581 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.581 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.581 * [misc]backup-simplify: Simplify PI into PI 1546596691.581 * [misc]taylor: Taking taylor expansion of n in n 1546596691.581 * [misc]backup-simplify: Simplify 0 into 0 1546596691.581 * [misc]backup-simplify: Simplify 1 into 1 1546596691.581 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.582 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.582 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.582 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.582 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.584 * [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))) 1546596691.584 * [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)))) 1546596691.584 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596691.584 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596691.584 * [misc]taylor: Taking taylor expansion of k in k 1546596691.584 * [misc]backup-simplify: Simplify 0 into 0 1546596691.585 * [misc]backup-simplify: Simplify 1 into 1 1546596691.585 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.585 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.585 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.585 * [misc]taylor: Taking taylor expansion of k in k 1546596691.585 * [misc]backup-simplify: Simplify 0 into 0 1546596691.585 * [misc]backup-simplify: Simplify 1 into 1 1546596691.586 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.586 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596691.586 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596691.586 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.586 * [misc]backup-simplify: Simplify 2 into 2 1546596691.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.586 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.586 * [misc]backup-simplify: Simplify PI into PI 1546596691.586 * [misc]taylor: Taking taylor expansion of n in k 1546596691.586 * [misc]backup-simplify: Simplify n into n 1546596691.586 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.586 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596691.586 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596691.586 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.586 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.587 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.587 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596691.587 * [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)))) 1546596691.587 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596691.587 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596691.587 * [misc]taylor: Taking taylor expansion of k in k 1546596691.587 * [misc]backup-simplify: Simplify 0 into 0 1546596691.587 * [misc]backup-simplify: Simplify 1 into 1 1546596691.587 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.587 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596691.587 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596691.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596691.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.588 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.588 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of k in k 1546596691.588 * [misc]backup-simplify: Simplify 0 into 0 1546596691.588 * [misc]backup-simplify: Simplify 1 into 1 1546596691.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.588 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of 2 in k 1546596691.588 * [misc]backup-simplify: Simplify 2 into 2 1546596691.588 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.588 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.588 * [misc]backup-simplify: Simplify PI into PI 1546596691.588 * [misc]taylor: Taking taylor expansion of n in k 1546596691.588 * [misc]backup-simplify: Simplify n into n 1546596691.588 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.588 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596691.588 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596691.588 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.588 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596691.588 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596691.588 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596691.589 * [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)))) 1546596691.589 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546596691.589 * [misc]taylor: Taking taylor expansion of 0 in n 1546596691.589 * [misc]backup-simplify: Simplify 0 into 0 1546596691.589 * [misc]backup-simplify: Simplify 0 into 0 1546596691.589 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596691.589 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.589 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of k in n 1546596691.589 * [misc]backup-simplify: Simplify k into k 1546596691.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.589 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.589 * [misc]backup-simplify: Simplify 2 into 2 1546596691.589 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.589 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.589 * [misc]backup-simplify: Simplify PI into PI 1546596691.589 * [misc]taylor: Taking taylor expansion of n in n 1546596691.589 * [misc]backup-simplify: Simplify 0 into 0 1546596691.589 * [misc]backup-simplify: Simplify 1 into 1 1546596691.590 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.590 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.590 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.590 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.591 * [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))) 1546596691.592 * [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)))) 1546596691.592 * [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))))) 1546596691.593 * [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)))))) 1546596691.593 * [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)))))) 1546596691.593 * [misc]backup-simplify: Simplify 0 into 0 1546596691.594 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596691.594 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.594 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.594 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of k in n 1546596691.594 * [misc]backup-simplify: Simplify k into k 1546596691.594 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.594 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.594 * [misc]backup-simplify: Simplify 2 into 2 1546596691.594 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.594 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.594 * [misc]backup-simplify: Simplify PI into PI 1546596691.594 * [misc]taylor: Taking taylor expansion of n in n 1546596691.594 * [misc]backup-simplify: Simplify 0 into 0 1546596691.594 * [misc]backup-simplify: Simplify 1 into 1 1546596691.595 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.595 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.595 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.595 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.595 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.595 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.596 * [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))) 1546596691.596 * [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)))) 1546596691.597 * [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))))) 1546596691.597 * [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)))))) 1546596691.598 * [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)))))) 1546596691.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596691.600 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596691.601 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.601 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.601 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.602 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596691.603 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.603 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546596691.603 * [misc]backup-simplify: Simplify (- 0) into 0 1546596691.603 * [misc]backup-simplify: Simplify 0 into 0 1546596691.603 * [misc]backup-simplify: Simplify 0 into 0 1546596691.604 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596691.605 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596691.605 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.605 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.605 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of k in n 1546596691.605 * [misc]backup-simplify: Simplify k into k 1546596691.605 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.605 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of 2 in n 1546596691.605 * [misc]backup-simplify: Simplify 2 into 2 1546596691.605 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.605 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.605 * [misc]backup-simplify: Simplify PI into PI 1546596691.605 * [misc]taylor: Taking taylor expansion of n in n 1546596691.605 * [misc]backup-simplify: Simplify 0 into 0 1546596691.605 * [misc]backup-simplify: Simplify 1 into 1 1546596691.605 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.605 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596691.606 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596691.606 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.606 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596691.606 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596691.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596691.607 * [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))) 1546596691.607 * [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)))) 1546596691.607 * [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))))) 1546596691.608 * [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)))))) 1546596691.608 * [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)))))) 1546596691.610 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1546596691.610 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546596691.610 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546596691.610 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546596691.610 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.610 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of k in n 1546596691.611 * [misc]backup-simplify: Simplify k into k 1546596691.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.611 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.611 * [misc]backup-simplify: Simplify -2 into -2 1546596691.611 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.611 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.611 * [misc]backup-simplify: Simplify PI into PI 1546596691.611 * [misc]taylor: Taking taylor expansion of n in n 1546596691.611 * [misc]backup-simplify: Simplify 0 into 0 1546596691.611 * [misc]backup-simplify: Simplify 1 into 1 1546596691.611 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.611 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.612 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.612 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.612 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.612 * [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))) 1546596691.613 * [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)))) 1546596691.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596691.613 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596691.613 * [misc]taylor: Taking taylor expansion of -1 in n 1546596691.613 * [misc]backup-simplify: Simplify -1 into -1 1546596691.613 * [misc]taylor: Taking taylor expansion of k in n 1546596691.613 * [misc]backup-simplify: Simplify k into k 1546596691.613 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596691.613 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596691.613 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596691.613 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596691.614 * [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))) 1546596691.614 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.614 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of k in k 1546596691.614 * [misc]backup-simplify: Simplify 0 into 0 1546596691.614 * [misc]backup-simplify: Simplify 1 into 1 1546596691.614 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.614 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.614 * [misc]backup-simplify: Simplify -2 into -2 1546596691.614 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.614 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.614 * [misc]backup-simplify: Simplify PI into PI 1546596691.614 * [misc]taylor: Taking taylor expansion of n in k 1546596691.614 * [misc]backup-simplify: Simplify n into n 1546596691.614 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.614 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596691.614 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596691.614 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.614 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.615 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596691.615 * [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))) 1546596691.615 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596691.615 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596691.615 * [misc]taylor: Taking taylor expansion of -1 in k 1546596691.615 * [misc]backup-simplify: Simplify -1 into -1 1546596691.615 * [misc]taylor: Taking taylor expansion of k in k 1546596691.615 * [misc]backup-simplify: Simplify 0 into 0 1546596691.615 * [misc]backup-simplify: Simplify 1 into 1 1546596691.615 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596691.615 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.615 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596691.615 * [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)))) 1546596691.615 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546596691.615 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596691.615 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of k in k 1546596691.616 * [misc]backup-simplify: Simplify 0 into 0 1546596691.616 * [misc]backup-simplify: Simplify 1 into 1 1546596691.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596691.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596691.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.616 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of -2 in k 1546596691.616 * [misc]backup-simplify: Simplify -2 into -2 1546596691.616 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of PI in k 1546596691.616 * [misc]backup-simplify: Simplify PI into PI 1546596691.616 * [misc]taylor: Taking taylor expansion of n in k 1546596691.616 * [misc]backup-simplify: Simplify n into n 1546596691.616 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596691.616 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596691.616 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596691.616 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596691.616 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596691.616 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596691.616 * [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))) 1546596691.616 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596691.616 * [misc]taylor: Taking taylor expansion of -1 in k 1546596691.617 * [misc]backup-simplify: Simplify -1 into -1 1546596691.617 * [misc]taylor: Taking taylor expansion of k in k 1546596691.617 * [misc]backup-simplify: Simplify 0 into 0 1546596691.617 * [misc]backup-simplify: Simplify 1 into 1 1546596691.617 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596691.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596691.617 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596691.617 * [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)))) 1546596691.617 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.617 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.617 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.617 * [misc]backup-simplify: Simplify -2 into -2 1546596691.617 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.617 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.617 * [misc]backup-simplify: Simplify PI into PI 1546596691.617 * [misc]taylor: Taking taylor expansion of n in n 1546596691.617 * [misc]backup-simplify: Simplify 0 into 0 1546596691.617 * [misc]backup-simplify: Simplify 1 into 1 1546596691.618 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.618 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.618 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.618 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.618 * [misc]taylor: Taking taylor expansion of k in n 1546596691.618 * [misc]backup-simplify: Simplify k into k 1546596691.618 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.619 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.619 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.620 * [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)))) 1546596691.620 * [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))))) 1546596691.621 * [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))))) 1546596691.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596691.621 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596691.622 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546596691.622 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.622 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.622 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.622 * [misc]backup-simplify: Simplify -2 into -2 1546596691.622 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.622 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.622 * [misc]backup-simplify: Simplify PI into PI 1546596691.622 * [misc]taylor: Taking taylor expansion of n in n 1546596691.622 * [misc]backup-simplify: Simplify 0 into 0 1546596691.622 * [misc]backup-simplify: Simplify 1 into 1 1546596691.622 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.622 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.623 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.623 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.623 * [misc]taylor: Taking taylor expansion of k in n 1546596691.623 * [misc]backup-simplify: Simplify k into k 1546596691.623 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.623 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.623 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.623 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.624 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.624 * [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)))) 1546596691.625 * [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))))) 1546596691.625 * [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)))))) 1546596691.625 * [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)))))) 1546596691.626 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596691.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596691.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596691.627 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596691.627 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596691.630 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596691.630 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546596691.631 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596691.632 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546596691.632 * [misc]backup-simplify: Simplify 0 into 0 1546596691.632 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596691.633 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596691.634 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546596691.634 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596691.634 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596691.634 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of -2 in n 1546596691.634 * [misc]backup-simplify: Simplify -2 into -2 1546596691.634 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596691.634 * [misc]taylor: Taking taylor expansion of PI in n 1546596691.634 * [misc]backup-simplify: Simplify PI into PI 1546596691.634 * [misc]taylor: Taking taylor expansion of n in n 1546596691.634 * [misc]backup-simplify: Simplify 0 into 0 1546596691.634 * [misc]backup-simplify: Simplify 1 into 1 1546596691.634 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596691.634 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596691.634 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596691.634 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596691.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596691.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596691.635 * [misc]taylor: Taking taylor expansion of k in n 1546596691.635 * [misc]backup-simplify: Simplify k into k 1546596691.635 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596691.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596691.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596691.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596691.635 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596691.635 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596691.636 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596691.636 * [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)))) 1546596691.636 * [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))))) 1546596691.637 * [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)))))) 1546596691.637 * [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)))))) 1546596691.639 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1546596691.639 * * * [misc]progress: simplifying candidates 1546596691.639 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1546596691.639 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1546596691.639 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1546596691.639 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546596691.639 * * [misc]simplify: iters left: 6 (11 enodes) 1546596691.643 * * [misc]simplify: iters left: 5 (21 enodes) 1546596691.649 * * [misc]simplify: iters left: 4 (47 enodes) 1546596691.658 * * [misc]simplify: iters left: 3 (113 enodes) 1546596691.702 * * [misc]simplify: iters left: 2 (328 enodes) 1546596691.953 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546596691.953 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546596691.953 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1546596691.953 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1546596691.954 * [enter]simplify: Simplifying (* PI (* n 2)) 1546596691.954 * * [misc]simplify: iters left: 4 (5 enodes) 1546596691.955 * * [misc]simplify: iters left: 3 (9 enodes) 1546596691.958 * * [misc]simplify: iters left: 2 (15 enodes) 1546596691.962 * * [misc]simplify: iters left: 1 (17 enodes) 1546596691.966 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546596691.966 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546596691.967 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1546596691.967 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546596691.967 * * [misc]simplify: iters left: 5 (8 enodes) 1546596691.969 * * [misc]simplify: iters left: 4 (12 enodes) 1546596691.973 * * [misc]simplify: iters left: 3 (18 enodes) 1546596691.978 * * [misc]simplify: iters left: 2 (20 enodes) 1546596691.987 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546596691.987 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1546596691.987 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1546596691.987 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546596691.987 * * [misc]simplify: iters left: 5 (6 enodes) 1546596691.989 * * [misc]simplify: iters left: 4 (8 enodes) 1546596691.991 * * [misc]simplify: iters left: 3 (11 enodes) 1546596691.994 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546596691.994 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546596691.994 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1546596691.995 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546596691.995 * * [misc]simplify: iters left: 5 (6 enodes) 1546596691.997 * * [misc]simplify: iters left: 4 (8 enodes) 1546596691.999 * * [misc]simplify: iters left: 3 (11 enodes) 1546596692.002 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546596692.002 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546596692.002 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1546596692.002 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546596692.002 * * [misc]simplify: iters left: 4 (5 enodes) 1546596692.004 * * [misc]simplify: iters left: 3 (7 enodes) 1546596692.006 * * [misc]simplify: iters left: 2 (10 enodes) 1546596692.009 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546596692.009 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546596692.009 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1546596692.009 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596692.009 * * [misc]simplify: iters left: 5 (9 enodes) 1546596692.012 * * [misc]simplify: iters left: 4 (15 enodes) 1546596692.016 * * [misc]simplify: iters left: 3 (21 enodes) 1546596692.022 * * [misc]simplify: iters left: 2 (22 enodes) 1546596692.027 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596692.028 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596692.028 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1546596692.028 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596692.028 * * [misc]simplify: iters left: 5 (9 enodes) 1546596692.031 * * [misc]simplify: iters left: 4 (15 enodes) 1546596692.035 * * [misc]simplify: iters left: 3 (21 enodes) 1546596692.041 * * [misc]simplify: iters left: 2 (22 enodes) 1546596692.047 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596692.047 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596692.047 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1546596692.047 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546596692.047 * * [misc]simplify: iters left: 5 (7 enodes) 1546596692.049 * * [misc]simplify: iters left: 4 (9 enodes) 1546596692.052 * * [misc]simplify: iters left: 3 (12 enodes) 1546596692.055 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596692.055 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596692.056 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1546596692.056 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1546596692.057 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1546596692.057 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1546596692.057 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1546596692.057 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1546596692.057 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1546596692.057 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546596692.057 * * [misc]simplify: iters left: 6 (14 enodes) 1546596692.062 * * [misc]simplify: iters left: 5 (26 enodes) 1546596692.070 * * [misc]simplify: iters left: 4 (59 enodes) 1546596692.093 * * [misc]simplify: iters left: 3 (172 enodes) 1546596692.155 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546596692.156 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546596692.156 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1546596692.156 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546596692.156 * * [misc]simplify: iters left: 6 (14 enodes) 1546596692.158 * * [misc]simplify: iters left: 5 (26 enodes) 1546596692.163 * * [misc]simplify: iters left: 4 (59 enodes) 1546596692.175 * * [misc]simplify: iters left: 3 (172 enodes) 1546596692.233 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546596692.233 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546596692.233 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1546596692.234 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596692.234 * * [misc]simplify: iters left: 6 (14 enodes) 1546596692.238 * * [misc]simplify: iters left: 5 (24 enodes) 1546596692.246 * * [misc]simplify: iters left: 4 (46 enodes) 1546596692.260 * * [misc]simplify: iters left: 3 (105 enodes) 1546596692.294 * * [misc]simplify: iters left: 2 (354 enodes) 1546596692.574 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1546596692.574 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1546596692.574 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1546596692.574 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1546596692.574 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1546596692.574 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596692.574 * * [misc]simplify: iters left: 6 (16 enodes) 1546596692.580 * * [misc]simplify: iters left: 5 (31 enodes) 1546596692.590 * * [misc]simplify: iters left: 4 (70 enodes) 1546596692.613 * * [misc]simplify: iters left: 3 (130 enodes) 1546596692.635 * * [misc]simplify: iters left: 2 (206 enodes) 1546596692.713 * * [misc]simplify: iters left: 1 (288 enodes) 1546596692.827 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1546596692.828 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546596692.828 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1546596692.828 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1546596692.828 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1546596692.828 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1546596692.828 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1546596692.828 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546596692.828 * * [misc]simplify: iters left: 6 (12 enodes) 1546596692.832 * * [misc]simplify: iters left: 5 (19 enodes) 1546596692.838 * * [misc]simplify: iters left: 4 (27 enodes) 1546596692.845 * * [misc]simplify: iters left: 3 (29 enodes) 1546596692.854 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546596692.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596692.854 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596692.855 * * [misc]simplify: iters left: 6 (12 enodes) 1546596692.858 * * [misc]simplify: iters left: 5 (18 enodes) 1546596692.864 * * [misc]simplify: iters left: 4 (24 enodes) 1546596692.870 * * [misc]simplify: iters left: 3 (25 enodes) 1546596692.877 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596692.877 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596692.877 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1546596692.877 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546596692.877 * * [misc]simplify: iters left: 6 (12 enodes) 1546596692.881 * * [misc]simplify: iters left: 5 (19 enodes) 1546596692.887 * * [misc]simplify: iters left: 4 (27 enodes) 1546596692.894 * * [misc]simplify: iters left: 3 (29 enodes) 1546596692.902 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546596692.902 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596692.902 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596692.902 * * [misc]simplify: iters left: 6 (12 enodes) 1546596692.906 * * [misc]simplify: iters left: 5 (18 enodes) 1546596692.911 * * [misc]simplify: iters left: 4 (24 enodes) 1546596692.918 * * [misc]simplify: iters left: 3 (25 enodes) 1546596692.925 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596692.925 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596692.925 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1546596692.925 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546596692.925 * * [misc]simplify: iters left: 6 (11 enodes) 1546596692.929 * * [misc]simplify: iters left: 5 (15 enodes) 1546596692.933 * * [misc]simplify: iters left: 4 (20 enodes) 1546596692.939 * * [misc]simplify: iters left: 3 (21 enodes) 1546596692.944 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546596692.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596692.944 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596692.945 * * [misc]simplify: iters left: 6 (11 enodes) 1546596692.946 * * [misc]simplify: iters left: 5 (14 enodes) 1546596692.948 * * [misc]simplify: iters left: 4 (17 enodes) 1546596692.951 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596692.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596692.951 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1546596692.951 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546596692.951 * * [misc]simplify: iters left: 6 (16 enodes) 1546596692.954 * * [misc]simplify: iters left: 5 (28 enodes) 1546596692.958 * * [misc]simplify: iters left: 4 (46 enodes) 1546596692.965 * * [misc]simplify: iters left: 3 (50 enodes) 1546596692.972 * * [misc]simplify: iters left: 2 (53 enodes) 1546596692.986 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596692.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546596692.986 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596692.986 * * [misc]simplify: iters left: 6 (14 enodes) 1546596692.990 * * [misc]simplify: iters left: 5 (20 enodes) 1546596692.996 * * [misc]simplify: iters left: 4 (29 enodes) 1546596693.004 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.012 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.012 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546596693.012 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1546596693.012 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.012 * * [misc]simplify: iters left: 6 (15 enodes) 1546596693.017 * * [misc]simplify: iters left: 5 (23 enodes) 1546596693.024 * * [misc]simplify: iters left: 4 (34 enodes) 1546596693.033 * * [misc]simplify: iters left: 3 (36 enodes) 1546596693.043 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.043 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546596693.043 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.043 * * [misc]simplify: iters left: 6 (14 enodes) 1546596693.047 * * [misc]simplify: iters left: 5 (20 enodes) 1546596693.053 * * [misc]simplify: iters left: 4 (29 enodes) 1546596693.061 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.068 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.068 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546596693.068 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1546596693.069 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546596693.069 * * [misc]simplify: iters left: 6 (6 enodes) 1546596693.071 * * [misc]simplify: iters left: 5 (10 enodes) 1546596693.075 * * [misc]simplify: iters left: 4 (16 enodes) 1546596693.078 * * [misc]simplify: iters left: 3 (18 enodes) 1546596693.082 * * [misc]simplify: iters left: 2 (23 enodes) 1546596693.087 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596693.087 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546596693.088 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.088 * * [misc]simplify: iters left: 6 (13 enodes) 1546596693.092 * * [misc]simplify: iters left: 5 (19 enodes) 1546596693.097 * * [misc]simplify: iters left: 4 (28 enodes) 1546596693.105 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.112 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546596693.112 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596693.113 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1546596693.113 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546596693.113 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.116 * * [misc]simplify: iters left: 5 (16 enodes) 1546596693.122 * * [misc]simplify: iters left: 4 (22 enodes) 1546596693.128 * * [misc]simplify: iters left: 3 (23 enodes) 1546596693.134 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546596693.134 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596693.135 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596693.135 * * [misc]simplify: iters left: 6 (12 enodes) 1546596693.137 * * [misc]simplify: iters left: 5 (18 enodes) 1546596693.139 * * [misc]simplify: iters left: 4 (24 enodes) 1546596693.142 * * [misc]simplify: iters left: 3 (25 enodes) 1546596693.146 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596693.146 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596693.146 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1546596693.146 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546596693.146 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.148 * * [misc]simplify: iters left: 5 (16 enodes) 1546596693.150 * * [misc]simplify: iters left: 4 (22 enodes) 1546596693.153 * * [misc]simplify: iters left: 3 (23 enodes) 1546596693.156 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546596693.156 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596693.156 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596693.156 * * [misc]simplify: iters left: 6 (12 enodes) 1546596693.158 * * [misc]simplify: iters left: 5 (18 enodes) 1546596693.160 * * [misc]simplify: iters left: 4 (24 enodes) 1546596693.163 * * [misc]simplify: iters left: 3 (25 enodes) 1546596693.167 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596693.167 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546596693.167 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1546596693.167 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546596693.167 * * [misc]simplify: iters left: 6 (10 enodes) 1546596693.169 * * [misc]simplify: iters left: 5 (12 enodes) 1546596693.173 * * [misc]simplify: iters left: 4 (15 enodes) 1546596693.177 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546596693.177 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596693.177 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596693.177 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.181 * * [misc]simplify: iters left: 5 (14 enodes) 1546596693.185 * * [misc]simplify: iters left: 4 (17 enodes) 1546596693.190 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596693.190 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596693.190 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1546596693.190 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546596693.190 * * [misc]simplify: iters left: 6 (15 enodes) 1546596693.195 * * [misc]simplify: iters left: 5 (23 enodes) 1546596693.202 * * [misc]simplify: iters left: 4 (32 enodes) 1546596693.210 * * [misc]simplify: iters left: 3 (34 enodes) 1546596693.219 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596693.219 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546596693.219 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.219 * * [misc]simplify: iters left: 6 (14 enodes) 1546596693.223 * * [misc]simplify: iters left: 5 (20 enodes) 1546596693.229 * * [misc]simplify: iters left: 4 (29 enodes) 1546596693.238 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.246 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546596693.246 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1546596693.246 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.246 * * [misc]simplify: iters left: 6 (14 enodes) 1546596693.251 * * [misc]simplify: iters left: 5 (20 enodes) 1546596693.257 * * [misc]simplify: iters left: 4 (29 enodes) 1546596693.264 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.272 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.272 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546596693.272 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.272 * * [misc]simplify: iters left: 6 (14 enodes) 1546596693.276 * * [misc]simplify: iters left: 5 (20 enodes) 1546596693.279 * * [misc]simplify: iters left: 4 (29 enodes) 1546596693.283 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.286 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596693.287 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546596693.287 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1546596693.287 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546596693.287 * * [misc]simplify: iters left: 4 (5 enodes) 1546596693.288 * * [misc]simplify: iters left: 3 (7 enodes) 1546596693.289 * * [misc]simplify: iters left: 2 (9 enodes) 1546596693.290 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596693.290 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546596693.290 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.290 * * [misc]simplify: iters left: 6 (13 enodes) 1546596693.292 * * [misc]simplify: iters left: 5 (19 enodes) 1546596693.295 * * [misc]simplify: iters left: 4 (28 enodes) 1546596693.299 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.303 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546596693.303 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596693.303 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1546596693.303 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546596693.303 * * [misc]simplify: iters left: 6 (9 enodes) 1546596693.304 * * [misc]simplify: iters left: 5 (16 enodes) 1546596693.306 * * [misc]simplify: iters left: 4 (22 enodes) 1546596693.309 * * [misc]simplify: iters left: 3 (23 enodes) 1546596693.312 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546596693.312 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596693.312 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596693.312 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.314 * * [misc]simplify: iters left: 5 (17 enodes) 1546596693.316 * * [misc]simplify: iters left: 4 (23 enodes) 1546596693.319 * * [misc]simplify: iters left: 3 (24 enodes) 1546596693.322 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546596693.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546596693.323 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1546596693.323 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546596693.323 * * [misc]simplify: iters left: 6 (9 enodes) 1546596693.324 * * [misc]simplify: iters left: 5 (16 enodes) 1546596693.326 * * [misc]simplify: iters left: 4 (22 enodes) 1546596693.329 * * [misc]simplify: iters left: 3 (23 enodes) 1546596693.332 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546596693.333 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546596693.333 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596693.333 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.335 * * [misc]simplify: iters left: 5 (17 enodes) 1546596693.337 * * [misc]simplify: iters left: 4 (23 enodes) 1546596693.340 * * [misc]simplify: iters left: 3 (24 enodes) 1546596693.343 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546596693.343 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546596693.343 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1546596693.343 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546596693.343 * * [misc]simplify: iters left: 6 (9 enodes) 1546596693.345 * * [misc]simplify: iters left: 5 (13 enodes) 1546596693.347 * * [misc]simplify: iters left: 4 (16 enodes) 1546596693.350 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546596693.350 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596693.351 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596693.351 * * [misc]simplify: iters left: 6 (10 enodes) 1546596693.354 * * [misc]simplify: iters left: 5 (13 enodes) 1546596693.358 * * [misc]simplify: iters left: 4 (16 enodes) 1546596693.362 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596693.362 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546596693.362 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1546596693.362 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546596693.363 * * [misc]simplify: iters left: 6 (14 enodes) 1546596693.367 * * [misc]simplify: iters left: 5 (24 enodes) 1546596693.374 * * [misc]simplify: iters left: 4 (33 enodes) 1546596693.383 * * [misc]simplify: iters left: 3 (34 enodes) 1546596693.391 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596693.391 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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)))))))) 1546596693.391 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.392 * * [misc]simplify: iters left: 6 (13 enodes) 1546596693.396 * * [misc]simplify: iters left: 5 (19 enodes) 1546596693.401 * * [misc]simplify: iters left: 4 (28 enodes) 1546596693.409 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.416 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596693.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1546596693.417 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1546596693.417 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.417 * * [misc]simplify: iters left: 6 (13 enodes) 1546596693.421 * * [misc]simplify: iters left: 5 (21 enodes) 1546596693.427 * * [misc]simplify: iters left: 4 (30 enodes) 1546596693.435 * * [misc]simplify: iters left: 3 (31 enodes) 1546596693.442 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546596693.442 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546596693.443 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596693.443 * * [misc]simplify: iters left: 6 (13 enodes) 1546596693.447 * * [misc]simplify: iters left: 5 (19 enodes) 1546596693.453 * * [misc]simplify: iters left: 4 (28 enodes) 1546596693.460 * * [misc]simplify: iters left: 3 (30 enodes) 1546596693.872 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596693.872 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1546596693.873 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1546596693.873 * [enter]simplify: Simplifying (/ 1 1) 1546596693.873 * * [misc]simplify: iters left: 2 (2 enodes) 1546596693.873 * * [misc]simplify: iters left: 1 (4 enodes) 1546596693.874 * [exit]simplify: Simplified to 1 1546596693.874 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546596693.874 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.874 * * [misc]simplify: iters left: 6 (12 enodes) 1546596693.876 * * [misc]simplify: iters left: 5 (18 enodes) 1546596693.878 * * [misc]simplify: iters left: 4 (27 enodes) 1546596693.885 * * [misc]simplify: iters left: 3 (29 enodes) 1546596693.889 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.889 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546596693.889 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1546596693.889 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1546596693.889 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1546596693.889 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1546596693.890 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596693.890 * * [misc]simplify: iters left: 5 (9 enodes) 1546596693.891 * * [misc]simplify: iters left: 4 (15 enodes) 1546596693.893 * * [misc]simplify: iters left: 3 (21 enodes) 1546596693.896 * * [misc]simplify: iters left: 2 (22 enodes) 1546596693.899 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596693.899 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596693.899 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1546596693.899 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596693.899 * * [misc]simplify: iters left: 5 (9 enodes) 1546596693.901 * * [misc]simplify: iters left: 4 (15 enodes) 1546596693.903 * * [misc]simplify: iters left: 3 (21 enodes) 1546596693.906 * * [misc]simplify: iters left: 2 (22 enodes) 1546596693.909 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596693.909 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596693.909 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1546596693.909 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546596693.909 * * [misc]simplify: iters left: 5 (8 enodes) 1546596693.910 * * [misc]simplify: iters left: 4 (11 enodes) 1546596693.912 * * [misc]simplify: iters left: 3 (14 enodes) 1546596693.916 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546596693.916 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546596693.916 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1546596693.917 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.917 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.920 * * [misc]simplify: iters left: 5 (17 enodes) 1546596693.926 * * [misc]simplify: iters left: 4 (26 enodes) 1546596693.932 * * [misc]simplify: iters left: 3 (27 enodes) 1546596693.939 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546596693.939 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596693.939 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1546596693.940 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596693.940 * * [misc]simplify: iters left: 6 (11 enodes) 1546596693.943 * * [misc]simplify: iters left: 5 (17 enodes) 1546596693.948 * * [misc]simplify: iters left: 4 (26 enodes) 1546596693.957 * * [misc]simplify: iters left: 3 (27 enodes) 1546596693.963 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546596693.964 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596693.964 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1546596693.964 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546596693.964 * * [misc]simplify: iters left: 5 (10 enodes) 1546596693.967 * * [misc]simplify: iters left: 4 (16 enodes) 1546596693.972 * * [misc]simplify: iters left: 3 (25 enodes) 1546596693.979 * * [misc]simplify: iters left: 2 (26 enodes) 1546596693.990 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546596693.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546596693.990 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1546596693.990 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596693.990 * * [misc]simplify: iters left: 4 (4 enodes) 1546596693.992 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596693.992 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546596693.992 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1546596693.992 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596693.992 * * [misc]simplify: iters left: 2 (3 enodes) 1546596693.993 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596693.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546596693.993 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1546596693.993 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1546596693.993 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546596693.993 * * [misc]simplify: iters left: 5 (8 enodes) 1546596693.996 * * [misc]simplify: iters left: 4 (12 enodes) 1546596694.000 * * [misc]simplify: iters left: 3 (18 enodes) 1546596694.005 * * [misc]simplify: iters left: 2 (20 enodes) 1546596694.010 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546596694.010 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1546596694.010 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1546596694.010 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1546596694.010 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1546596694.010 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1546596694.010 * [enter]simplify: Simplifying (- 1) 1546596694.010 * * [misc]simplify: iters left: 2 (2 enodes) 1546596694.012 * * [misc]simplify: iters left: 1 (5 enodes) 1546596694.013 * [exit]simplify: Simplified to -1 1546596694.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1546596694.013 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1546596694.013 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1546596694.014 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1546596694.014 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.014 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.018 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.024 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.032 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.040 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596694.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596694.040 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1546596694.040 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.040 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.044 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.050 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.057 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.066 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596694.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596694.066 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1546596694.066 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.066 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.070 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.075 * * [misc]simplify: iters left: 4 (24 enodes) 1546596694.082 * * [misc]simplify: iters left: 3 (25 enodes) 1546596694.089 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596694.089 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596694.089 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1546596694.089 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.089 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.093 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.098 * * [misc]simplify: iters left: 4 (24 enodes) 1546596694.105 * * [misc]simplify: iters left: 3 (25 enodes) 1546596694.112 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596694.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596694.112 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1546596694.112 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.112 * * [misc]simplify: iters left: 6 (11 enodes) 1546596694.116 * * [misc]simplify: iters left: 5 (14 enodes) 1546596694.120 * * [misc]simplify: iters left: 4 (17 enodes) 1546596694.125 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546596694.125 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1546596694.125 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.125 * * [misc]simplify: iters left: 6 (14 enodes) 1546596694.130 * * [misc]simplify: iters left: 5 (20 enodes) 1546596694.136 * * [misc]simplify: iters left: 4 (29 enodes) 1546596694.146 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.153 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596694.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596694.153 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1546596694.154 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.154 * * [misc]simplify: iters left: 6 (14 enodes) 1546596694.157 * * [misc]simplify: iters left: 5 (20 enodes) 1546596694.160 * * [misc]simplify: iters left: 4 (29 enodes) 1546596694.164 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.167 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596694.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596694.168 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1546596694.168 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.168 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.170 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.173 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.176 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.181 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546596694.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1546596694.181 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1546596694.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.181 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.183 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.186 * * [misc]simplify: iters left: 4 (24 enodes) 1546596694.189 * * [misc]simplify: iters left: 3 (25 enodes) 1546596694.193 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596694.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596694.193 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1546596694.194 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.194 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.197 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.202 * * [misc]simplify: iters left: 4 (24 enodes) 1546596694.208 * * [misc]simplify: iters left: 3 (25 enodes) 1546596694.213 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546596694.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546596694.213 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1546596694.213 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.213 * * [misc]simplify: iters left: 6 (11 enodes) 1546596694.215 * * [misc]simplify: iters left: 5 (14 enodes) 1546596694.217 * * [misc]simplify: iters left: 4 (17 enodes) 1546596694.219 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546596694.219 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1546596694.219 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.219 * * [misc]simplify: iters left: 6 (14 enodes) 1546596694.222 * * [misc]simplify: iters left: 5 (20 enodes) 1546596694.225 * * [misc]simplify: iters left: 4 (29 enodes) 1546596694.228 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.233 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596694.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596694.233 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1546596694.233 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.233 * * [misc]simplify: iters left: 6 (14 enodes) 1546596694.236 * * [misc]simplify: iters left: 5 (20 enodes) 1546596694.239 * * [misc]simplify: iters left: 4 (29 enodes) 1546596694.245 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.252 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596694.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546596694.252 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1546596694.253 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.253 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.256 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.262 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.269 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.277 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546596694.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1546596694.277 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1546596694.277 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.277 * * [misc]simplify: iters left: 6 (11 enodes) 1546596694.280 * * [misc]simplify: iters left: 5 (17 enodes) 1546596694.286 * * [misc]simplify: iters left: 4 (23 enodes) 1546596694.292 * * [misc]simplify: iters left: 3 (24 enodes) 1546596694.297 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546596694.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1546596694.298 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1546596694.298 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546596694.298 * * [misc]simplify: iters left: 6 (11 enodes) 1546596694.301 * * [misc]simplify: iters left: 5 (17 enodes) 1546596694.306 * * [misc]simplify: iters left: 4 (23 enodes) 1546596694.311 * * [misc]simplify: iters left: 3 (24 enodes) 1546596694.316 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546596694.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1546596694.317 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1546596694.317 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.317 * * [misc]simplify: iters left: 6 (10 enodes) 1546596694.320 * * [misc]simplify: iters left: 5 (13 enodes) 1546596694.323 * * [misc]simplify: iters left: 4 (16 enodes) 1546596694.327 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546596694.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546596694.327 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1546596694.328 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.328 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.332 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.337 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.345 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.352 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596694.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596694.352 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1546596694.352 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596694.352 * * [misc]simplify: iters left: 6 (13 enodes) 1546596694.354 * * [misc]simplify: iters left: 5 (19 enodes) 1546596694.357 * * [misc]simplify: iters left: 4 (28 enodes) 1546596694.361 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.365 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546596694.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546596694.365 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1546596694.365 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.366 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.367 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.370 * * [misc]simplify: iters left: 4 (27 enodes) 1546596694.374 * * [misc]simplify: iters left: 3 (29 enodes) 1546596694.377 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546596694.377 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1546596694.377 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.377 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.379 * * [misc]simplify: iters left: 5 (18 enodes) 1546596694.382 * * [misc]simplify: iters left: 4 (27 enodes) 1546596694.386 * * [misc]simplify: iters left: 3 (29 enodes) 1546596694.389 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546596694.389 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1546596694.390 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596694.390 * * [misc]simplify: iters left: 6 (12 enodes) 1546596694.391 * * [misc]simplify: iters left: 5 (20 enodes) 1546596694.394 * * [misc]simplify: iters left: 4 (29 enodes) 1546596694.398 * * [misc]simplify: iters left: 3 (30 enodes) 1546596694.402 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546596694.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546596694.402 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1546596694.402 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546596694.402 * * [misc]simplify: iters left: 5 (8 enodes) 1546596694.403 * * [misc]simplify: iters left: 4 (12 enodes) 1546596694.405 * * [misc]simplify: iters left: 3 (18 enodes) 1546596694.408 * * [misc]simplify: iters left: 2 (20 enodes) 1546596694.410 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546596694.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546596694.410 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1546596694.410 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546596694.411 * * [misc]simplify: iters left: 5 (10 enodes) 1546596694.412 * * [misc]simplify: iters left: 4 (16 enodes) 1546596694.415 * * [misc]simplify: iters left: 3 (25 enodes) 1546596694.418 * * [misc]simplify: iters left: 2 (26 enodes) 1546596694.423 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546596694.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596694.423 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1546596694.424 * [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))))) 1546596694.424 * * [misc]simplify: iters left: 6 (37 enodes) 1546596694.440 * * [misc]simplify: iters left: 5 (108 enodes) 1546596694.486 * * [misc]simplify: iters left: 4 (368 enodes) 1546596694.757 * [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)))))) 1546596694.757 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (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))))))))) 1546596694.757 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1546596694.758 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546596694.758 * * [misc]simplify: iters left: 6 (15 enodes) 1546596694.761 * * [misc]simplify: iters left: 5 (33 enodes) 1546596694.766 * * [misc]simplify: iters left: 4 (64 enodes) 1546596694.782 * * [misc]simplify: iters left: 3 (179 enodes) 1546596694.896 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546596694.896 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1546596694.896 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1546596694.896 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546596694.896 * * [misc]simplify: iters left: 6 (15 enodes) 1546596694.900 * * [misc]simplify: iters left: 5 (30 enodes) 1546596694.905 * * [misc]simplify: iters left: 4 (65 enodes) 1546596694.920 * * [misc]simplify: iters left: 3 (208 enodes) 1546596695.014 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546596695.014 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1546596695.014 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1546596695.014 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596695.014 * * [misc]simplify: iters left: 4 (5 enodes) 1546596695.016 * * [misc]simplify: iters left: 3 (9 enodes) 1546596695.018 * * [misc]simplify: iters left: 2 (15 enodes) 1546596695.022 * * [misc]simplify: iters left: 1 (17 enodes) 1546596695.026 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596695.026 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596695.026 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1546596695.027 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596695.027 * * [misc]simplify: iters left: 4 (5 enodes) 1546596695.028 * * [misc]simplify: iters left: 3 (9 enodes) 1546596695.031 * * [misc]simplify: iters left: 2 (15 enodes) 1546596695.035 * * [misc]simplify: iters left: 1 (17 enodes) 1546596695.039 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596695.039 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596695.039 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1546596695.040 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596695.040 * * [misc]simplify: iters left: 4 (5 enodes) 1546596695.045 * * [misc]simplify: iters left: 3 (9 enodes) 1546596695.048 * * [misc]simplify: iters left: 2 (15 enodes) 1546596695.052 * * [misc]simplify: iters left: 1 (17 enodes) 1546596695.055 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596695.056 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596695.056 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1546596695.056 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546596695.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596695.056 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1546596695.056 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546596695.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596695.056 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1546596695.057 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546596695.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596695.057 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1546596695.057 * [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))))))))))))) 1546596695.057 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596695.057 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1546596695.057 * [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)))))))) 1546596695.057 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596695.058 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1546596695.058 * [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))))))))))) 1546596695.058 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596695.058 * * * [misc]progress: adding candidates to table 1546596696.588 * * [misc]progress: iteration 3 / 4 1546596696.588 * * * [misc]progress: picking best candidate 1546596696.639 * * * * [misc]pick: Picked # 1546596696.639 * * * [misc]progress: localizing error 1546596696.673 * * * [misc]progress: generating rewritten candidates 1546596696.673 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546596696.676 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1546596696.677 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546596696.685 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546596696.692 * * * [misc]progress: generating series expansions 1546596696.693 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546596696.693 * [misc]backup-simplify: Simplify (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546596696.693 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546596696.693 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.693 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.693 * [misc]taylor: Taking taylor expansion of k in k 1546596696.693 * [misc]backup-simplify: Simplify 0 into 0 1546596696.693 * [misc]backup-simplify: Simplify 1 into 1 1546596696.693 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.693 * [misc]backup-simplify: Simplify 2 into 2 1546596696.693 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596696.693 * [misc]taylor: Taking taylor expansion of n in k 1546596696.693 * [misc]backup-simplify: Simplify n into n 1546596696.693 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.693 * [misc]backup-simplify: Simplify PI into PI 1546596696.694 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596696.694 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596696.694 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596696.694 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596696.694 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.694 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.695 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596696.695 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596696.695 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.695 * [misc]taylor: Taking taylor expansion of k in n 1546596696.695 * [misc]backup-simplify: Simplify k into k 1546596696.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.695 * [misc]backup-simplify: Simplify 2 into 2 1546596696.695 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.695 * [misc]taylor: Taking taylor expansion of n in n 1546596696.695 * [misc]backup-simplify: Simplify 0 into 0 1546596696.695 * [misc]backup-simplify: Simplify 1 into 1 1546596696.695 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.695 * [misc]backup-simplify: Simplify PI into PI 1546596696.696 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.696 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596696.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.697 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596696.698 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.698 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596696.698 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596696.698 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596696.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.699 * [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)))) 1546596696.700 * [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))))) 1546596696.700 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.700 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.700 * [misc]taylor: Taking taylor expansion of k in n 1546596696.700 * [misc]backup-simplify: Simplify k into k 1546596696.700 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.700 * [misc]backup-simplify: Simplify 2 into 2 1546596696.700 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.700 * [misc]taylor: Taking taylor expansion of n in n 1546596696.701 * [misc]backup-simplify: Simplify 0 into 0 1546596696.701 * [misc]backup-simplify: Simplify 1 into 1 1546596696.701 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.701 * [misc]backup-simplify: Simplify PI into PI 1546596696.701 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.701 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596696.702 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.702 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596696.703 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.703 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596696.703 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596696.703 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596696.704 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.704 * [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)))) 1546596696.705 * [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))))) 1546596696.705 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.705 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.705 * [misc]taylor: Taking taylor expansion of k in k 1546596696.705 * [misc]backup-simplify: Simplify 0 into 0 1546596696.705 * [misc]backup-simplify: Simplify 1 into 1 1546596696.705 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of n in k 1546596696.705 * [misc]backup-simplify: Simplify n into n 1546596696.705 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596696.705 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596696.705 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.705 * [misc]backup-simplify: Simplify 2 into 2 1546596696.705 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.705 * [misc]backup-simplify: Simplify PI into PI 1546596696.706 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596696.706 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.706 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596696.706 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.707 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.707 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.708 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596696.708 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596696.709 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596696.710 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596696.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596696.714 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596696.714 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596696.714 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.714 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.715 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.716 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596696.717 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596696.717 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.717 * [misc]backup-simplify: Simplify 0 into 0 1546596696.717 * [misc]backup-simplify: Simplify 0 into 0 1546596696.718 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596696.719 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596696.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596696.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.722 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596696.722 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.722 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596696.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596696.724 * [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))))))) 1546596696.726 * [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))))))) 1546596696.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596696.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596696.734 * [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 1546596696.734 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596696.734 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.735 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.736 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596696.738 * [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 1546596696.738 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.738 * [misc]backup-simplify: Simplify 0 into 0 1546596696.738 * [misc]backup-simplify: Simplify 0 into 0 1546596696.739 * [misc]backup-simplify: Simplify 0 into 0 1546596696.740 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596696.741 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596696.746 * [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 1546596696.746 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596696.746 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.747 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.748 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596696.750 * [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))))) 1546596696.752 * [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))))) 1546596696.757 * [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))))) 1546596696.757 * [misc]backup-simplify: Simplify (pow (* 2 (* (/ 1 n) PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546596696.757 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546596696.757 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.757 * [misc]taylor: Taking taylor expansion of k in k 1546596696.757 * [misc]backup-simplify: Simplify 0 into 0 1546596696.758 * [misc]backup-simplify: Simplify 1 into 1 1546596696.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.758 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596696.758 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596696.758 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.758 * [misc]backup-simplify: Simplify 2 into 2 1546596696.758 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596696.758 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.758 * [misc]backup-simplify: Simplify PI into PI 1546596696.758 * [misc]taylor: Taking taylor expansion of n in k 1546596696.758 * [misc]backup-simplify: Simplify n into n 1546596696.758 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596696.758 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596696.758 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596696.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.759 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.759 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596696.759 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596696.759 * [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)))) 1546596696.759 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of k in n 1546596696.759 * [misc]backup-simplify: Simplify k into k 1546596696.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.759 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596696.759 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596696.760 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.760 * [misc]backup-simplify: Simplify 2 into 2 1546596696.760 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.760 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.760 * [misc]backup-simplify: Simplify PI into PI 1546596696.760 * [misc]taylor: Taking taylor expansion of n in n 1546596696.760 * [misc]backup-simplify: Simplify 0 into 0 1546596696.760 * [misc]backup-simplify: Simplify 1 into 1 1546596696.760 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.760 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596696.761 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596696.761 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596696.761 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596696.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.762 * [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))) 1546596696.763 * [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)))) 1546596696.763 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.763 * [misc]taylor: Taking taylor expansion of k in n 1546596696.763 * [misc]backup-simplify: Simplify k into k 1546596696.764 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.764 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596696.764 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596696.764 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.764 * [misc]backup-simplify: Simplify 2 into 2 1546596696.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.764 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.764 * [misc]backup-simplify: Simplify PI into PI 1546596696.764 * [misc]taylor: Taking taylor expansion of n in n 1546596696.764 * [misc]backup-simplify: Simplify 0 into 0 1546596696.764 * [misc]backup-simplify: Simplify 1 into 1 1546596696.764 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.764 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596696.765 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.765 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596696.765 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596696.765 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596696.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.766 * [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))) 1546596696.767 * [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)))) 1546596696.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596696.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596696.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596696.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.767 * [misc]taylor: Taking taylor expansion of k in k 1546596696.767 * [misc]backup-simplify: Simplify 0 into 0 1546596696.767 * [misc]backup-simplify: Simplify 1 into 1 1546596696.768 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.768 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596696.768 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596696.768 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596696.768 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.768 * [misc]backup-simplify: Simplify 2 into 2 1546596696.768 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.768 * [misc]backup-simplify: Simplify PI into PI 1546596696.768 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596696.768 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.769 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596696.769 * [misc]taylor: Taking taylor expansion of n in k 1546596696.769 * [misc]backup-simplify: Simplify n into n 1546596696.769 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596696.769 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.769 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.769 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596696.769 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596696.770 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596696.770 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596696.771 * [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)))) 1546596696.771 * [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)))) 1546596696.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596696.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596696.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596696.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596696.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596696.776 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.782 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596696.783 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596696.784 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.784 * [misc]backup-simplify: Simplify 0 into 0 1546596696.784 * [misc]backup-simplify: Simplify 0 into 0 1546596696.784 * [misc]backup-simplify: Simplify 0 into 0 1546596696.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596696.788 * [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 1546596696.788 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596696.788 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596696.789 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.789 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.790 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596696.791 * [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 1546596696.791 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.791 * [misc]backup-simplify: Simplify 0 into 0 1546596696.791 * [misc]backup-simplify: Simplify 0 into 0 1546596696.791 * [misc]backup-simplify: Simplify 0 into 0 1546596696.791 * [misc]backup-simplify: Simplify 0 into 0 1546596696.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.793 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596696.798 * [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 1546596696.798 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596696.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596696.799 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.799 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.800 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596696.802 * [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 1546596696.802 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.802 * [misc]backup-simplify: Simplify 0 into 0 1546596696.802 * [misc]backup-simplify: Simplify 0 into 0 1546596696.803 * [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))))) 1546596696.803 * [misc]backup-simplify: Simplify (pow (* 2 (* (/ 1 (- n)) PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546596696.803 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546596696.803 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of k in k 1546596696.803 * [misc]backup-simplify: Simplify 0 into 0 1546596696.803 * [misc]backup-simplify: Simplify 1 into 1 1546596696.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.803 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of -2 in k 1546596696.803 * [misc]backup-simplify: Simplify -2 into -2 1546596696.803 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596696.803 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.803 * [misc]backup-simplify: Simplify PI into PI 1546596696.803 * [misc]taylor: Taking taylor expansion of n in k 1546596696.803 * [misc]backup-simplify: Simplify n into n 1546596696.803 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596696.803 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596696.803 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596696.804 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.804 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.804 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596696.804 * [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))) 1546596696.804 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of k in n 1546596696.804 * [misc]backup-simplify: Simplify k into k 1546596696.804 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.804 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of -2 in n 1546596696.804 * [misc]backup-simplify: Simplify -2 into -2 1546596696.804 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.804 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.804 * [misc]backup-simplify: Simplify PI into PI 1546596696.804 * [misc]taylor: Taking taylor expansion of n in n 1546596696.804 * [misc]backup-simplify: Simplify 0 into 0 1546596696.804 * [misc]backup-simplify: Simplify 1 into 1 1546596696.804 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.805 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596696.805 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596696.805 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596696.805 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596696.806 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596696.806 * [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))) 1546596696.806 * [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)))) 1546596696.806 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.806 * [misc]taylor: Taking taylor expansion of k in n 1546596696.806 * [misc]backup-simplify: Simplify k into k 1546596696.807 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.807 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596696.807 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596696.807 * [misc]taylor: Taking taylor expansion of -2 in n 1546596696.807 * [misc]backup-simplify: Simplify -2 into -2 1546596696.807 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.807 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.807 * [misc]backup-simplify: Simplify PI into PI 1546596696.807 * [misc]taylor: Taking taylor expansion of n in n 1546596696.807 * [misc]backup-simplify: Simplify 0 into 0 1546596696.807 * [misc]backup-simplify: Simplify 1 into 1 1546596696.807 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.807 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596696.807 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596696.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596696.807 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596696.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596696.808 * [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))) 1546596696.809 * [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)))) 1546596696.809 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of k in k 1546596696.809 * [misc]backup-simplify: Simplify 0 into 0 1546596696.809 * [misc]backup-simplify: Simplify 1 into 1 1546596696.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.809 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596696.809 * [misc]taylor: Taking taylor expansion of -2 in k 1546596696.809 * [misc]backup-simplify: Simplify -2 into -2 1546596696.809 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.809 * [misc]backup-simplify: Simplify PI into PI 1546596696.809 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596696.810 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596696.810 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596696.810 * [misc]taylor: Taking taylor expansion of n in k 1546596696.810 * [misc]backup-simplify: Simplify n into n 1546596696.810 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596696.810 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.810 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.810 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596696.810 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596696.811 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596696.811 * [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)))) 1546596696.812 * [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)))) 1546596696.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596696.813 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596696.814 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596696.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596696.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596696.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596696.815 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596696.816 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596696.816 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.816 * [misc]backup-simplify: Simplify 0 into 0 1546596696.817 * [misc]backup-simplify: Simplify 0 into 0 1546596696.817 * [misc]backup-simplify: Simplify 0 into 0 1546596696.817 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.818 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596696.822 * [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 1546596696.823 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596696.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596696.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596696.825 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596696.827 * [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 1546596696.827 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.828 * [misc]backup-simplify: Simplify 0 into 0 1546596696.828 * [misc]backup-simplify: Simplify 0 into 0 1546596696.828 * [misc]backup-simplify: Simplify 0 into 0 1546596696.828 * [misc]backup-simplify: Simplify 0 into 0 1546596696.829 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.831 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596696.839 * [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 1546596696.839 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596696.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596696.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596696.842 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546596696.846 * [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 1546596696.846 * [misc]taylor: Taking taylor expansion of 0 in k 1546596696.846 * [misc]backup-simplify: Simplify 0 into 0 1546596696.846 * [misc]backup-simplify: Simplify 0 into 0 1546596696.846 * [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))))) 1546596696.847 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) 1546596696.847 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596696.847 * [misc]approximate: Taking taylor expansion of (* n PI) in (n) around 0 1546596696.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.847 * [misc]taylor: Taking taylor expansion of n in n 1546596696.847 * [misc]backup-simplify: Simplify 0 into 0 1546596696.847 * [misc]backup-simplify: Simplify 1 into 1 1546596696.847 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.847 * [misc]backup-simplify: Simplify PI into PI 1546596696.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.847 * [misc]taylor: Taking taylor expansion of n in n 1546596696.847 * [misc]backup-simplify: Simplify 0 into 0 1546596696.847 * [misc]backup-simplify: Simplify 1 into 1 1546596696.847 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.847 * [misc]backup-simplify: Simplify PI into PI 1546596696.848 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.848 * [misc]backup-simplify: Simplify 0 into 0 1546596696.848 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.848 * [misc]backup-simplify: Simplify PI into PI 1546596696.849 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596696.849 * [misc]backup-simplify: Simplify 0 into 0 1546596696.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596696.851 * [misc]backup-simplify: Simplify 0 into 0 1546596696.853 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596696.853 * [misc]backup-simplify: Simplify 0 into 0 1546596696.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596696.854 * [misc]backup-simplify: Simplify 0 into 0 1546596696.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596696.857 * [misc]backup-simplify: Simplify 0 into 0 1546596696.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546596696.859 * [misc]backup-simplify: Simplify 0 into 0 1546596696.859 * [misc]backup-simplify: Simplify (* PI n) into (* n PI) 1546596696.859 * [misc]backup-simplify: Simplify (* (/ 1 n) PI) into (/ PI n) 1546596696.859 * [misc]approximate: Taking taylor expansion of (/ PI n) in (n) around 0 1546596696.859 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.859 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.859 * [misc]backup-simplify: Simplify PI into PI 1546596696.859 * [misc]taylor: Taking taylor expansion of n in n 1546596696.859 * [misc]backup-simplify: Simplify 0 into 0 1546596696.859 * [misc]backup-simplify: Simplify 1 into 1 1546596696.860 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.860 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.860 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.860 * [misc]backup-simplify: Simplify PI into PI 1546596696.860 * [misc]taylor: Taking taylor expansion of n in n 1546596696.860 * [misc]backup-simplify: Simplify 0 into 0 1546596696.860 * [misc]backup-simplify: Simplify 1 into 1 1546596696.860 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.860 * [misc]backup-simplify: Simplify PI into PI 1546596696.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596696.861 * [misc]backup-simplify: Simplify 0 into 0 1546596696.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.861 * [misc]backup-simplify: Simplify 0 into 0 1546596696.862 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.862 * [misc]backup-simplify: Simplify 0 into 0 1546596696.864 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.864 * [misc]backup-simplify: Simplify 0 into 0 1546596696.865 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.865 * [misc]backup-simplify: Simplify 0 into 0 1546596696.866 * [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 1546596696.866 * [misc]backup-simplify: Simplify 0 into 0 1546596696.866 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 1546596696.866 * [misc]backup-simplify: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n)) 1546596696.866 * [misc]approximate: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1546596696.866 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1546596696.866 * [misc]taylor: Taking taylor expansion of -1 in n 1546596696.866 * [misc]backup-simplify: Simplify -1 into -1 1546596696.866 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.866 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.867 * [misc]backup-simplify: Simplify PI into PI 1546596696.867 * [misc]taylor: Taking taylor expansion of n in n 1546596696.867 * [misc]backup-simplify: Simplify 0 into 0 1546596696.867 * [misc]backup-simplify: Simplify 1 into 1 1546596696.867 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.867 * [misc]taylor: Taking taylor expansion of (* -1 (/ PI n)) in n 1546596696.867 * [misc]taylor: Taking taylor expansion of -1 in n 1546596696.867 * [misc]backup-simplify: Simplify -1 into -1 1546596696.867 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.867 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.867 * [misc]backup-simplify: Simplify PI into PI 1546596696.867 * [misc]taylor: Taking taylor expansion of n in n 1546596696.867 * [misc]backup-simplify: Simplify 0 into 0 1546596696.867 * [misc]backup-simplify: Simplify 1 into 1 1546596696.867 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.867 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1546596696.867 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) 1546596696.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596696.868 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 1546596696.869 * [misc]backup-simplify: Simplify 0 into 0 1546596696.869 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.870 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1546596696.870 * [misc]backup-simplify: Simplify 0 into 0 1546596696.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.872 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596696.872 * [misc]backup-simplify: Simplify 0 into 0 1546596696.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.874 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596696.874 * [misc]backup-simplify: Simplify 0 into 0 1546596696.875 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596696.877 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596696.877 * [misc]backup-simplify: Simplify 0 into 0 1546596696.878 * [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 1546596696.881 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596696.881 * [misc]backup-simplify: Simplify 0 into 0 1546596696.881 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 1546596696.881 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546596696.881 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1546596696.881 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546596696.881 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.881 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.881 * [misc]taylor: Taking taylor expansion of k in n 1546596696.881 * [misc]backup-simplify: Simplify k into k 1546596696.881 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.881 * [misc]backup-simplify: Simplify 2 into 2 1546596696.881 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.881 * [misc]taylor: Taking taylor expansion of n in n 1546596696.881 * [misc]backup-simplify: Simplify 0 into 0 1546596696.881 * [misc]backup-simplify: Simplify 1 into 1 1546596696.881 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.881 * [misc]backup-simplify: Simplify PI into PI 1546596696.882 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.882 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596696.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.883 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596696.883 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.883 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596696.883 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596696.883 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596696.884 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.884 * [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)))) 1546596696.884 * [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))))) 1546596696.885 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1546596696.885 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596696.885 * [misc]taylor: Taking taylor expansion of k in n 1546596696.885 * [misc]backup-simplify: Simplify k into k 1546596696.885 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596696.885 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596696.885 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.885 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.885 * [misc]taylor: Taking taylor expansion of k in k 1546596696.885 * [misc]backup-simplify: Simplify 0 into 0 1546596696.885 * [misc]backup-simplify: Simplify 1 into 1 1546596696.885 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.885 * [misc]backup-simplify: Simplify 2 into 2 1546596696.885 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596696.885 * [misc]taylor: Taking taylor expansion of n in k 1546596696.885 * [misc]backup-simplify: Simplify n into n 1546596696.885 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.885 * [misc]backup-simplify: Simplify PI into PI 1546596696.885 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596696.885 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596696.885 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596696.886 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596696.886 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.886 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.886 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596696.886 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596696.886 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546596696.886 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596696.886 * [misc]taylor: Taking taylor expansion of k in k 1546596696.886 * [misc]backup-simplify: Simplify 0 into 0 1546596696.886 * [misc]backup-simplify: Simplify 1 into 1 1546596696.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.886 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596696.887 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.887 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.887 * [misc]taylor: Taking taylor expansion of k in k 1546596696.887 * [misc]backup-simplify: Simplify 0 into 0 1546596696.887 * [misc]backup-simplify: Simplify 1 into 1 1546596696.887 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.887 * [misc]backup-simplify: Simplify 2 into 2 1546596696.887 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596696.887 * [misc]taylor: Taking taylor expansion of n in k 1546596696.887 * [misc]backup-simplify: Simplify n into n 1546596696.887 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.887 * [misc]backup-simplify: Simplify PI into PI 1546596696.887 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596696.887 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596696.887 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596696.887 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596696.887 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.887 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596696.887 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596696.887 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596696.888 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546596696.888 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596696.888 * [misc]taylor: Taking taylor expansion of k in k 1546596696.888 * [misc]backup-simplify: Simplify 0 into 0 1546596696.888 * [misc]backup-simplify: Simplify 1 into 1 1546596696.888 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.888 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596696.888 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546596696.888 * [misc]taylor: Taking taylor expansion of 0 in n 1546596696.888 * [misc]backup-simplify: Simplify 0 into 0 1546596696.888 * [misc]backup-simplify: Simplify 0 into 0 1546596696.888 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546596696.889 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546596696.889 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546596696.889 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596696.889 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.889 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596696.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546596696.890 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546596696.890 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1546596696.891 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1546596696.891 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596696.891 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596696.891 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.891 * [misc]taylor: Taking taylor expansion of n in n 1546596696.891 * [misc]backup-simplify: Simplify 0 into 0 1546596696.891 * [misc]backup-simplify: Simplify 1 into 1 1546596696.891 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.891 * [misc]backup-simplify: Simplify PI into PI 1546596696.891 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.892 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.892 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596696.892 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.892 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596696.892 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596696.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.893 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596696.893 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596696.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.893 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546596696.895 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.897 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.898 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.898 * [misc]backup-simplify: Simplify 0 into 0 1546596696.899 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596696.900 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546596696.900 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546596696.901 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546596696.902 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596696.902 * [misc]backup-simplify: Simplify (- 0) into 0 1546596696.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596696.902 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546596696.904 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546596696.906 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1546596696.910 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1546596696.910 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596696.910 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596696.910 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596696.910 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.911 * [misc]backup-simplify: Simplify 2 into 2 1546596696.911 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596696.911 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596696.911 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546596696.911 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596696.911 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596696.911 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.911 * [misc]backup-simplify: Simplify 2 into 2 1546596696.911 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.911 * [misc]taylor: Taking taylor expansion of n in n 1546596696.911 * [misc]backup-simplify: Simplify 0 into 0 1546596696.911 * [misc]backup-simplify: Simplify 1 into 1 1546596696.911 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.911 * [misc]backup-simplify: Simplify PI into PI 1546596696.911 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.912 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596696.912 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.913 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596696.913 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.913 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546596696.913 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596696.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.914 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596696.914 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596696.914 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596696.914 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596696.914 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.914 * [misc]taylor: Taking taylor expansion of n in n 1546596696.914 * [misc]backup-simplify: Simplify 0 into 0 1546596696.914 * [misc]backup-simplify: Simplify 1 into 1 1546596696.914 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.914 * [misc]backup-simplify: Simplify PI into PI 1546596696.914 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.915 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596696.915 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.916 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596696.916 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596696.916 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596696.916 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596696.916 * [misc]taylor: Taking taylor expansion of n in n 1546596696.916 * [misc]backup-simplify: Simplify 0 into 0 1546596696.916 * [misc]backup-simplify: Simplify 1 into 1 1546596696.916 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.916 * [misc]backup-simplify: Simplify PI into PI 1546596696.917 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596696.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596696.918 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546596696.918 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.918 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546596696.918 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546596696.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.919 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546596696.919 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546596696.920 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.920 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546596696.921 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1546596696.922 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1546596696.923 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596696.923 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546596696.925 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596696.926 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596696.928 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596696.930 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546596696.931 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546596696.932 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546596696.934 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546596696.938 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546596696.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.940 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546596696.942 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.943 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546596696.949 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596696.956 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596696.963 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546596696.964 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546596696.965 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596696.967 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546596696.969 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546596696.971 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596696.975 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596696.977 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596696.978 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546596696.989 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546596696.989 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* 2 (* (/ 1 n) PI)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1546596696.989 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546596696.989 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546596696.989 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596696.989 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596696.989 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596696.989 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596696.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of k in n 1546596696.990 * [misc]backup-simplify: Simplify k into k 1546596696.990 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.990 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of 2 in n 1546596696.990 * [misc]backup-simplify: Simplify 2 into 2 1546596696.990 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596696.990 * [misc]taylor: Taking taylor expansion of PI in n 1546596696.990 * [misc]backup-simplify: Simplify PI into PI 1546596696.990 * [misc]taylor: Taking taylor expansion of n in n 1546596696.990 * [misc]backup-simplify: Simplify 0 into 0 1546596696.990 * [misc]backup-simplify: Simplify 1 into 1 1546596696.991 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596696.991 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596696.991 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596696.991 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596696.992 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596696.992 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596696.992 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596696.993 * [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))) 1546596696.994 * [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)))) 1546596696.994 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596696.994 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596696.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596696.994 * [misc]taylor: Taking taylor expansion of k in n 1546596696.994 * [misc]backup-simplify: Simplify k into k 1546596696.994 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596696.995 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596696.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596696.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596696.995 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of k in k 1546596696.995 * [misc]backup-simplify: Simplify 0 into 0 1546596696.995 * [misc]backup-simplify: Simplify 1 into 1 1546596696.995 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596696.995 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596696.996 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.996 * [misc]backup-simplify: Simplify 2 into 2 1546596696.996 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596696.996 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.996 * [misc]backup-simplify: Simplify PI into PI 1546596696.996 * [misc]taylor: Taking taylor expansion of n in k 1546596696.996 * [misc]backup-simplify: Simplify n into n 1546596696.996 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596696.996 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596696.996 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596696.996 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.996 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.996 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596696.997 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596696.997 * [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)))) 1546596696.997 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596696.997 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596696.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.997 * [misc]taylor: Taking taylor expansion of k in k 1546596696.997 * [misc]backup-simplify: Simplify 0 into 0 1546596696.997 * [misc]backup-simplify: Simplify 1 into 1 1546596696.997 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596696.998 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596696.998 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596696.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596696.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596696.998 * [misc]taylor: Taking taylor expansion of k in k 1546596696.998 * [misc]backup-simplify: Simplify 0 into 0 1546596696.998 * [misc]backup-simplify: Simplify 1 into 1 1546596696.998 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596696.999 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596696.999 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596696.999 * [misc]taylor: Taking taylor expansion of 2 in k 1546596696.999 * [misc]backup-simplify: Simplify 2 into 2 1546596696.999 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596696.999 * [misc]taylor: Taking taylor expansion of PI in k 1546596696.999 * [misc]backup-simplify: Simplify PI into PI 1546596696.999 * [misc]taylor: Taking taylor expansion of n in k 1546596696.999 * [misc]backup-simplify: Simplify n into n 1546596696.999 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596696.999 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596696.999 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596696.999 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596696.999 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596696.999 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596697.000 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596697.000 * [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)))) 1546596697.000 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596697.000 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596697.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.000 * [misc]taylor: Taking taylor expansion of k in k 1546596697.000 * [misc]backup-simplify: Simplify 0 into 0 1546596697.000 * [misc]backup-simplify: Simplify 1 into 1 1546596697.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.000 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.001 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596697.001 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546596697.001 * [misc]taylor: Taking taylor expansion of 0 in n 1546596697.001 * [misc]backup-simplify: Simplify 0 into 0 1546596697.001 * [misc]backup-simplify: Simplify 0 into 0 1546596697.002 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596697.002 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596697.002 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.002 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.002 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.003 * [misc]taylor: Taking taylor expansion of k in n 1546596697.003 * [misc]backup-simplify: Simplify k into k 1546596697.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.003 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.003 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.003 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.003 * [misc]backup-simplify: Simplify 2 into 2 1546596697.003 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.003 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.003 * [misc]backup-simplify: Simplify PI into PI 1546596697.003 * [misc]taylor: Taking taylor expansion of n in n 1546596697.003 * [misc]backup-simplify: Simplify 0 into 0 1546596697.003 * [misc]backup-simplify: Simplify 1 into 1 1546596697.003 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.004 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.004 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.004 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.006 * [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))) 1546596697.006 * [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)))) 1546596697.007 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596697.008 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596697.009 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.009 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.009 * [misc]backup-simplify: Simplify 0 into 0 1546596697.010 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596697.011 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596697.012 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596697.012 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596697.012 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.012 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.012 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of k in n 1546596697.013 * [misc]backup-simplify: Simplify k into k 1546596697.013 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.013 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.013 * [misc]backup-simplify: Simplify 2 into 2 1546596697.013 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.013 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.013 * [misc]backup-simplify: Simplify PI into PI 1546596697.013 * [misc]taylor: Taking taylor expansion of n in n 1546596697.013 * [misc]backup-simplify: Simplify 0 into 0 1546596697.013 * [misc]backup-simplify: Simplify 1 into 1 1546596697.013 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.014 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.014 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.014 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.014 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.014 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.016 * [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))) 1546596697.017 * [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)))) 1546596697.017 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596697.018 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596697.019 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.019 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.021 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596697.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596697.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596697.025 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596697.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596697.025 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.027 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596697.029 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596697.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1546596697.031 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546596697.031 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.031 * [misc]backup-simplify: Simplify 0 into 0 1546596697.031 * [misc]backup-simplify: Simplify 0 into 0 1546596697.032 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596697.033 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596697.034 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546596697.034 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546596697.034 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546596697.034 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.034 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.034 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.034 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.034 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of k in n 1546596697.035 * [misc]backup-simplify: Simplify k into k 1546596697.035 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.035 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.035 * [misc]backup-simplify: Simplify 2 into 2 1546596697.035 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.035 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.035 * [misc]backup-simplify: Simplify PI into PI 1546596697.035 * [misc]taylor: Taking taylor expansion of n in n 1546596697.035 * [misc]backup-simplify: Simplify 0 into 0 1546596697.035 * [misc]backup-simplify: Simplify 1 into 1 1546596697.035 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.036 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.036 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.036 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.036 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.036 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.038 * [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))) 1546596697.038 * [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)))) 1546596697.039 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546596697.040 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596697.040 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.041 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546596697.044 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546596697.044 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* 2 (* (/ 1 (- n)) PI)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1546596697.044 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546596697.044 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.044 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596697.044 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596697.044 * [misc]taylor: Taking taylor expansion of -1 in n 1546596697.044 * [misc]backup-simplify: Simplify -1 into -1 1546596697.044 * [misc]taylor: Taking taylor expansion of k in n 1546596697.044 * [misc]backup-simplify: Simplify k into k 1546596697.044 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596697.044 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596697.045 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596697.045 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596697.045 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of k in n 1546596697.045 * [misc]backup-simplify: Simplify k into k 1546596697.045 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.045 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.045 * [misc]backup-simplify: Simplify -2 into -2 1546596697.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.045 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.045 * [misc]backup-simplify: Simplify PI into PI 1546596697.045 * [misc]taylor: Taking taylor expansion of n in n 1546596697.045 * [misc]backup-simplify: Simplify 0 into 0 1546596697.045 * [misc]backup-simplify: Simplify 1 into 1 1546596697.046 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.046 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.047 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.047 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.047 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.048 * [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))) 1546596697.049 * [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)))) 1546596697.049 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596697.050 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546596697.050 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596697.050 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596697.050 * [misc]taylor: Taking taylor expansion of -1 in k 1546596697.050 * [misc]backup-simplify: Simplify -1 into -1 1546596697.050 * [misc]taylor: Taking taylor expansion of k in k 1546596697.050 * [misc]backup-simplify: Simplify 0 into 0 1546596697.050 * [misc]backup-simplify: Simplify 1 into 1 1546596697.050 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596697.050 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.050 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596697.051 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of k in k 1546596697.051 * [misc]backup-simplify: Simplify 0 into 0 1546596697.051 * [misc]backup-simplify: Simplify 1 into 1 1546596697.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.051 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of -2 in k 1546596697.051 * [misc]backup-simplify: Simplify -2 into -2 1546596697.051 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.051 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.051 * [misc]backup-simplify: Simplify PI into PI 1546596697.051 * [misc]taylor: Taking taylor expansion of n in k 1546596697.051 * [misc]backup-simplify: Simplify n into n 1546596697.051 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.051 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596697.052 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596697.052 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.052 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.052 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596697.052 * [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))) 1546596697.052 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546596697.053 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546596697.053 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596697.053 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596697.053 * [misc]taylor: Taking taylor expansion of -1 in k 1546596697.053 * [misc]backup-simplify: Simplify -1 into -1 1546596697.053 * [misc]taylor: Taking taylor expansion of k in k 1546596697.053 * [misc]backup-simplify: Simplify 0 into 0 1546596697.053 * [misc]backup-simplify: Simplify 1 into 1 1546596697.053 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596697.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.054 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596697.054 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.054 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of k in k 1546596697.054 * [misc]backup-simplify: Simplify 0 into 0 1546596697.054 * [misc]backup-simplify: Simplify 1 into 1 1546596697.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.054 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of -2 in k 1546596697.054 * [misc]backup-simplify: Simplify -2 into -2 1546596697.054 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.054 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.054 * [misc]backup-simplify: Simplify PI into PI 1546596697.054 * [misc]taylor: Taking taylor expansion of n in k 1546596697.054 * [misc]backup-simplify: Simplify n into n 1546596697.054 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.054 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596697.055 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596697.055 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.055 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596697.055 * [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))) 1546596697.055 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546596697.056 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.056 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.056 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.056 * [misc]backup-simplify: Simplify -2 into -2 1546596697.056 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.056 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.056 * [misc]backup-simplify: Simplify PI into PI 1546596697.056 * [misc]taylor: Taking taylor expansion of n in n 1546596697.056 * [misc]backup-simplify: Simplify 0 into 0 1546596697.056 * [misc]backup-simplify: Simplify 1 into 1 1546596697.056 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.057 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.057 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.057 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.057 * [misc]taylor: Taking taylor expansion of k in n 1546596697.057 * [misc]backup-simplify: Simplify k into k 1546596697.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.058 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.059 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.060 * [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)))) 1546596697.060 * [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))))) 1546596697.061 * [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))))) 1546596697.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596697.063 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596697.064 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546596697.064 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.064 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.064 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.064 * [misc]backup-simplify: Simplify -2 into -2 1546596697.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.064 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.064 * [misc]backup-simplify: Simplify PI into PI 1546596697.065 * [misc]taylor: Taking taylor expansion of n in n 1546596697.065 * [misc]backup-simplify: Simplify 0 into 0 1546596697.065 * [misc]backup-simplify: Simplify 1 into 1 1546596697.065 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.065 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.066 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.066 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.066 * [misc]taylor: Taking taylor expansion of k in n 1546596697.066 * [misc]backup-simplify: Simplify k into k 1546596697.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.067 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.067 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.068 * [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)))) 1546596697.069 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596697.069 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596697.070 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596697.071 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596697.072 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.072 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596697.072 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596697.072 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.073 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596697.074 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596697.077 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596697.077 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546596697.079 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596697.081 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1546596697.081 * [misc]backup-simplify: Simplify 0 into 0 1546596697.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596697.083 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596697.084 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546596697.084 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.084 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.084 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.084 * [misc]backup-simplify: Simplify -2 into -2 1546596697.084 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.084 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.084 * [misc]backup-simplify: Simplify PI into PI 1546596697.084 * [misc]taylor: Taking taylor expansion of n in n 1546596697.084 * [misc]backup-simplify: Simplify 0 into 0 1546596697.084 * [misc]backup-simplify: Simplify 1 into 1 1546596697.085 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.085 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.086 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.086 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.086 * [misc]taylor: Taking taylor expansion of k in n 1546596697.086 * [misc]backup-simplify: Simplify k into k 1546596697.086 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.087 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.087 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.088 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.089 * [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)))) 1546596697.089 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596697.090 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1546596697.091 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596697.091 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546596697.094 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546596697.094 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546596697.095 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546596697.095 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546596697.095 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of k in n 1546596697.095 * [misc]backup-simplify: Simplify k into k 1546596697.095 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.095 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546596697.095 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596697.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546596697.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.095 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596697.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.095 * [misc]taylor: Taking taylor expansion of k in n 1546596697.096 * [misc]backup-simplify: Simplify k into k 1546596697.096 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596697.096 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596697.096 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.096 * [misc]backup-simplify: Simplify 2 into 2 1546596697.096 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.096 * [misc]taylor: Taking taylor expansion of n in n 1546596697.096 * [misc]backup-simplify: Simplify 0 into 0 1546596697.096 * [misc]backup-simplify: Simplify 1 into 1 1546596697.096 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.096 * [misc]backup-simplify: Simplify PI into PI 1546596697.096 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.096 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596697.097 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.098 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596697.098 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.098 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596697.098 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596697.099 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596697.099 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.100 * [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)))) 1546596697.100 * [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))))) 1546596697.101 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596697.101 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596697.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.101 * [misc]taylor: Taking taylor expansion of k in k 1546596697.101 * [misc]backup-simplify: Simplify 0 into 0 1546596697.101 * [misc]backup-simplify: Simplify 1 into 1 1546596697.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.101 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.101 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596697.101 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596697.101 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.102 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.102 * [misc]taylor: Taking taylor expansion of k in k 1546596697.102 * [misc]backup-simplify: Simplify 0 into 0 1546596697.102 * [misc]backup-simplify: Simplify 1 into 1 1546596697.102 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of 2 in k 1546596697.102 * [misc]backup-simplify: Simplify 2 into 2 1546596697.102 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596697.102 * [misc]taylor: Taking taylor expansion of n in k 1546596697.102 * [misc]backup-simplify: Simplify n into n 1546596697.102 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.102 * [misc]backup-simplify: Simplify PI into PI 1546596697.102 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596697.102 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596697.102 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596697.102 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596697.103 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.103 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596697.103 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596697.103 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596697.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546596697.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.103 * [misc]taylor: Taking taylor expansion of k in k 1546596697.103 * [misc]backup-simplify: Simplify 0 into 0 1546596697.103 * [misc]backup-simplify: Simplify 1 into 1 1546596697.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.103 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.104 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596697.104 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.104 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.104 * [misc]taylor: Taking taylor expansion of k in k 1546596697.104 * [misc]backup-simplify: Simplify 0 into 0 1546596697.104 * [misc]backup-simplify: Simplify 1 into 1 1546596697.104 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596697.104 * [misc]taylor: Taking taylor expansion of 2 in k 1546596697.104 * [misc]backup-simplify: Simplify 2 into 2 1546596697.105 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596697.105 * [misc]taylor: Taking taylor expansion of n in k 1546596697.105 * [misc]backup-simplify: Simplify n into n 1546596697.105 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.105 * [misc]backup-simplify: Simplify PI into PI 1546596697.105 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596697.105 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596697.105 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596697.105 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596697.105 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.105 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.105 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596697.106 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596697.106 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546596697.106 * [misc]taylor: Taking taylor expansion of 0 in n 1546596697.106 * [misc]backup-simplify: Simplify 0 into 0 1546596697.106 * [misc]backup-simplify: Simplify 0 into 0 1546596697.106 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546596697.106 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546596697.107 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546596697.108 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596697.108 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596697.108 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596697.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546596697.108 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546596697.109 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546596697.109 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596697.109 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596697.109 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.109 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.109 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596697.109 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.109 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.109 * [misc]backup-simplify: Simplify 2 into 2 1546596697.109 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.109 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.109 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.110 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.110 * [misc]taylor: Taking taylor expansion of n in n 1546596697.110 * [misc]backup-simplify: Simplify 0 into 0 1546596697.110 * [misc]backup-simplify: Simplify 1 into 1 1546596697.110 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.110 * [misc]backup-simplify: Simplify PI into PI 1546596697.110 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.111 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.111 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.111 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596697.112 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.112 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.112 * [misc]backup-simplify: Simplify 0 into 0 1546596697.112 * [misc]backup-simplify: Simplify 0 into 0 1546596697.113 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546596697.113 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546596697.115 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546596697.115 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596697.115 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.115 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546596697.117 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546596697.117 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596697.118 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596697.119 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1546596697.119 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.119 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.119 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.119 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.119 * [misc]backup-simplify: Simplify 2 into 2 1546596697.120 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.120 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596697.120 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596697.120 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.120 * [misc]backup-simplify: Simplify 2 into 2 1546596697.120 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.120 * [misc]taylor: Taking taylor expansion of n in n 1546596697.120 * [misc]backup-simplify: Simplify 0 into 0 1546596697.120 * [misc]backup-simplify: Simplify 1 into 1 1546596697.120 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.120 * [misc]backup-simplify: Simplify PI into PI 1546596697.120 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.120 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596697.121 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.122 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596697.122 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.122 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.122 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.123 * [misc]taylor: Taking taylor expansion of n in n 1546596697.123 * [misc]backup-simplify: Simplify 0 into 0 1546596697.123 * [misc]backup-simplify: Simplify 1 into 1 1546596697.123 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.123 * [misc]backup-simplify: Simplify PI into PI 1546596697.123 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.124 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.124 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.124 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596697.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596697.124 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.124 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596697.124 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.124 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.124 * [misc]backup-simplify: Simplify 2 into 2 1546596697.125 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.125 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.125 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.125 * [misc]taylor: Taking taylor expansion of n in n 1546596697.125 * [misc]backup-simplify: Simplify 0 into 0 1546596697.125 * [misc]backup-simplify: Simplify 1 into 1 1546596697.125 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.125 * [misc]backup-simplify: Simplify PI into PI 1546596697.125 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.126 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.127 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.127 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.128 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546596697.129 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546596697.129 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.129 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596697.129 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.129 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.130 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.130 * [misc]backup-simplify: Simplify 0 into 0 1546596697.131 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.133 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.134 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.135 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.135 * [misc]backup-simplify: Simplify 0 into 0 1546596697.136 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596697.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546596697.140 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1546596697.140 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546596697.140 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.141 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546596697.143 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1546596697.143 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596697.144 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596697.145 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1546596697.145 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.145 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.145 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.145 * [misc]backup-simplify: Simplify 2 into 2 1546596697.145 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.145 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.145 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.145 * [misc]backup-simplify: Simplify 2 into 2 1546596697.145 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.145 * [misc]taylor: Taking taylor expansion of n in n 1546596697.145 * [misc]backup-simplify: Simplify 0 into 0 1546596697.145 * [misc]backup-simplify: Simplify 1 into 1 1546596697.145 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.145 * [misc]backup-simplify: Simplify PI into PI 1546596697.146 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.146 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596697.146 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.147 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596697.147 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.147 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.147 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.147 * [misc]taylor: Taking taylor expansion of n in n 1546596697.147 * [misc]backup-simplify: Simplify 0 into 0 1546596697.147 * [misc]backup-simplify: Simplify 1 into 1 1546596697.147 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.147 * [misc]backup-simplify: Simplify PI into PI 1546596697.148 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.148 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.148 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.148 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.148 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546596697.148 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.149 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.149 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.149 * [misc]backup-simplify: Simplify 2 into 2 1546596697.149 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.149 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.149 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.149 * [misc]backup-simplify: Simplify 2 into 2 1546596697.149 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.149 * [misc]taylor: Taking taylor expansion of n in n 1546596697.149 * [misc]backup-simplify: Simplify 0 into 0 1546596697.149 * [misc]backup-simplify: Simplify 1 into 1 1546596697.149 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.149 * [misc]backup-simplify: Simplify PI into PI 1546596697.149 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.149 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596697.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.150 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596697.150 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.151 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.151 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.151 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.151 * [misc]taylor: Taking taylor expansion of n in n 1546596697.151 * [misc]backup-simplify: Simplify 0 into 0 1546596697.151 * [misc]backup-simplify: Simplify 1 into 1 1546596697.151 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.151 * [misc]backup-simplify: Simplify PI into PI 1546596697.151 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.152 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.152 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.152 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.152 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.152 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.152 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.152 * [misc]backup-simplify: Simplify 2 into 2 1546596697.152 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546596697.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546596697.152 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596697.152 * [misc]taylor: Taking taylor expansion of n in n 1546596697.152 * [misc]backup-simplify: Simplify 0 into 0 1546596697.152 * [misc]backup-simplify: Simplify 1 into 1 1546596697.152 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.152 * [misc]backup-simplify: Simplify PI into PI 1546596697.153 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596697.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596697.153 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.153 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546596697.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.154 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546596697.155 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546596697.155 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.155 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.156 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.156 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546596697.157 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546596697.157 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546596697.157 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.157 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.158 * [misc]backup-simplify: Simplify 0 into 0 1546596697.159 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596697.159 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596697.161 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596697.161 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596697.162 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596697.163 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546596697.164 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546596697.165 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.166 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.167 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546596697.169 * [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)))))))))) 1546596697.171 * [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))))))) 1546596697.174 * [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))))))) 1546596697.175 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596697.177 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546596697.178 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546596697.180 * [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)))) 1546596697.185 * [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)))) 1546596697.187 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546596697.188 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546596697.194 * [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))))))))))))) 1546596697.195 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* 2 (* (/ 1 n) PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596697.195 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546596697.195 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of k in n 1546596697.195 * [misc]backup-simplify: Simplify k into k 1546596697.195 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546596697.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546596697.195 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.195 * [misc]taylor: Taking taylor expansion of k in n 1546596697.195 * [misc]backup-simplify: Simplify k into k 1546596697.195 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.195 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.196 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.196 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.196 * [misc]backup-simplify: Simplify 2 into 2 1546596697.196 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.196 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.196 * [misc]backup-simplify: Simplify PI into PI 1546596697.196 * [misc]taylor: Taking taylor expansion of n in n 1546596697.196 * [misc]backup-simplify: Simplify 0 into 0 1546596697.196 * [misc]backup-simplify: Simplify 1 into 1 1546596697.196 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.197 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.197 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.197 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.198 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.199 * [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))) 1546596697.200 * [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)))) 1546596697.200 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596697.200 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596697.200 * [misc]taylor: Taking taylor expansion of k in k 1546596697.200 * [misc]backup-simplify: Simplify 0 into 0 1546596697.200 * [misc]backup-simplify: Simplify 1 into 1 1546596697.200 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.200 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596697.201 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of k in k 1546596697.201 * [misc]backup-simplify: Simplify 0 into 0 1546596697.201 * [misc]backup-simplify: Simplify 1 into 1 1546596697.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.201 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of 2 in k 1546596697.201 * [misc]backup-simplify: Simplify 2 into 2 1546596697.201 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.201 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.201 * [misc]backup-simplify: Simplify PI into PI 1546596697.201 * [misc]taylor: Taking taylor expansion of n in k 1546596697.201 * [misc]backup-simplify: Simplify n into n 1546596697.201 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.201 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596697.201 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596697.202 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.202 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596697.202 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596697.202 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596697.202 * [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)))) 1546596697.202 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596697.202 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546596697.202 * [misc]taylor: Taking taylor expansion of k in k 1546596697.202 * [misc]backup-simplify: Simplify 0 into 0 1546596697.202 * [misc]backup-simplify: Simplify 1 into 1 1546596697.203 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.203 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546596697.203 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.203 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.203 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.203 * [misc]taylor: Taking taylor expansion of k in k 1546596697.203 * [misc]backup-simplify: Simplify 0 into 0 1546596697.203 * [misc]backup-simplify: Simplify 1 into 1 1546596697.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.204 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596697.204 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596697.204 * [misc]taylor: Taking taylor expansion of 2 in k 1546596697.204 * [misc]backup-simplify: Simplify 2 into 2 1546596697.204 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.204 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.204 * [misc]backup-simplify: Simplify PI into PI 1546596697.204 * [misc]taylor: Taking taylor expansion of n in k 1546596697.204 * [misc]backup-simplify: Simplify n into n 1546596697.204 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.204 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596697.204 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596697.204 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.204 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596697.205 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596697.205 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596697.205 * [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)))) 1546596697.205 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546596697.205 * [misc]taylor: Taking taylor expansion of 0 in n 1546596697.205 * [misc]backup-simplify: Simplify 0 into 0 1546596697.205 * [misc]backup-simplify: Simplify 0 into 0 1546596697.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596697.206 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.206 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.206 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.206 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.206 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of k in n 1546596697.206 * [misc]backup-simplify: Simplify k into k 1546596697.206 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.206 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.206 * [misc]backup-simplify: Simplify 2 into 2 1546596697.206 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.206 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.206 * [misc]backup-simplify: Simplify PI into PI 1546596697.206 * [misc]taylor: Taking taylor expansion of n in n 1546596697.206 * [misc]backup-simplify: Simplify 0 into 0 1546596697.206 * [misc]backup-simplify: Simplify 1 into 1 1546596697.207 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.207 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.208 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.208 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.208 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.208 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.209 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.209 * [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))) 1546596697.210 * [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)))) 1546596697.211 * [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))))) 1546596697.211 * [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)))))) 1546596697.212 * [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)))))) 1546596697.212 * [misc]backup-simplify: Simplify 0 into 0 1546596697.213 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596697.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596697.215 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.215 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.215 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.215 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of k in n 1546596697.215 * [misc]backup-simplify: Simplify k into k 1546596697.215 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.215 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.215 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.216 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.216 * [misc]backup-simplify: Simplify 2 into 2 1546596697.216 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.216 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.216 * [misc]backup-simplify: Simplify PI into PI 1546596697.216 * [misc]taylor: Taking taylor expansion of n in n 1546596697.216 * [misc]backup-simplify: Simplify 0 into 0 1546596697.216 * [misc]backup-simplify: Simplify 1 into 1 1546596697.216 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.216 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.217 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.217 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.217 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.217 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.218 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.218 * [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))) 1546596697.219 * [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)))) 1546596697.220 * [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))))) 1546596697.220 * [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)))))) 1546596697.221 * [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)))))) 1546596697.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596697.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596697.226 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596697.226 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596697.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596697.226 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.227 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.228 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596697.229 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596697.229 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546596697.229 * [misc]backup-simplify: Simplify (- 0) into 0 1546596697.229 * [misc]backup-simplify: Simplify 0 into 0 1546596697.229 * [misc]backup-simplify: Simplify 0 into 0 1546596697.230 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596697.230 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546596697.230 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546596697.230 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596697.230 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.231 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of k in n 1546596697.231 * [misc]backup-simplify: Simplify k into k 1546596697.231 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.231 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of 2 in n 1546596697.231 * [misc]backup-simplify: Simplify 2 into 2 1546596697.231 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.231 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.231 * [misc]backup-simplify: Simplify PI into PI 1546596697.231 * [misc]taylor: Taking taylor expansion of n in n 1546596697.231 * [misc]backup-simplify: Simplify 0 into 0 1546596697.231 * [misc]backup-simplify: Simplify 1 into 1 1546596697.231 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.231 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596697.232 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596697.232 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.232 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596697.232 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596697.232 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596697.233 * [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))) 1546596697.233 * [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)))) 1546596697.233 * [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))))) 1546596697.234 * [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)))))) 1546596697.234 * [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)))))) 1546596697.236 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1546596697.236 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* 2 (* (/ 1 (- n)) PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546596697.236 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546596697.236 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of k in n 1546596697.236 * [misc]backup-simplify: Simplify k into k 1546596697.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.236 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.236 * [misc]backup-simplify: Simplify -2 into -2 1546596697.236 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.236 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.236 * [misc]backup-simplify: Simplify PI into PI 1546596697.236 * [misc]taylor: Taking taylor expansion of n in n 1546596697.236 * [misc]backup-simplify: Simplify 0 into 0 1546596697.236 * [misc]backup-simplify: Simplify 1 into 1 1546596697.237 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.237 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.237 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.237 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.237 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.238 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.238 * [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))) 1546596697.238 * [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)))) 1546596697.238 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596697.238 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596697.239 * [misc]taylor: Taking taylor expansion of -1 in n 1546596697.239 * [misc]backup-simplify: Simplify -1 into -1 1546596697.239 * [misc]taylor: Taking taylor expansion of k in n 1546596697.239 * [misc]backup-simplify: Simplify k into k 1546596697.239 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596697.239 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596697.239 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596697.239 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596697.239 * [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))) 1546596697.239 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.239 * [misc]taylor: Taking taylor expansion of k in k 1546596697.239 * [misc]backup-simplify: Simplify 0 into 0 1546596697.239 * [misc]backup-simplify: Simplify 1 into 1 1546596697.240 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.240 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596697.240 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596697.240 * [misc]taylor: Taking taylor expansion of -2 in k 1546596697.240 * [misc]backup-simplify: Simplify -2 into -2 1546596697.240 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.240 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.240 * [misc]backup-simplify: Simplify PI into PI 1546596697.240 * [misc]taylor: Taking taylor expansion of n in k 1546596697.240 * [misc]backup-simplify: Simplify n into n 1546596697.240 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.240 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596697.240 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596697.240 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.240 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.240 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596697.240 * [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))) 1546596697.240 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596697.240 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596697.240 * [misc]taylor: Taking taylor expansion of -1 in k 1546596697.240 * [misc]backup-simplify: Simplify -1 into -1 1546596697.240 * [misc]taylor: Taking taylor expansion of k in k 1546596697.240 * [misc]backup-simplify: Simplify 0 into 0 1546596697.240 * [misc]backup-simplify: Simplify 1 into 1 1546596697.240 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596697.241 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.241 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596697.241 * [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)))) 1546596697.241 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of k in k 1546596697.241 * [misc]backup-simplify: Simplify 0 into 0 1546596697.241 * [misc]backup-simplify: Simplify 1 into 1 1546596697.241 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596697.241 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596697.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.241 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of -2 in k 1546596697.241 * [misc]backup-simplify: Simplify -2 into -2 1546596697.241 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596697.241 * [misc]taylor: Taking taylor expansion of PI in k 1546596697.242 * [misc]backup-simplify: Simplify PI into PI 1546596697.242 * [misc]taylor: Taking taylor expansion of n in k 1546596697.242 * [misc]backup-simplify: Simplify n into n 1546596697.242 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596697.242 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596697.242 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596697.242 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596697.242 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596697.242 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596697.242 * [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))) 1546596697.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596697.242 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596697.242 * [misc]taylor: Taking taylor expansion of -1 in k 1546596697.242 * [misc]backup-simplify: Simplify -1 into -1 1546596697.242 * [misc]taylor: Taking taylor expansion of k in k 1546596697.242 * [misc]backup-simplify: Simplify 0 into 0 1546596697.242 * [misc]backup-simplify: Simplify 1 into 1 1546596697.242 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596697.243 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596697.243 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596697.243 * [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)))) 1546596697.243 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.243 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.243 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.243 * [misc]backup-simplify: Simplify -2 into -2 1546596697.243 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.243 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.243 * [misc]backup-simplify: Simplify PI into PI 1546596697.243 * [misc]taylor: Taking taylor expansion of n in n 1546596697.243 * [misc]backup-simplify: Simplify 0 into 0 1546596697.243 * [misc]backup-simplify: Simplify 1 into 1 1546596697.243 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.244 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.244 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.244 * [misc]taylor: Taking taylor expansion of k in n 1546596697.244 * [misc]backup-simplify: Simplify k into k 1546596697.244 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.245 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.245 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.245 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.245 * [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)))) 1546596697.246 * [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))))) 1546596697.246 * [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))))) 1546596697.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596697.247 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596697.248 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546596697.248 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.248 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.248 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.248 * [misc]backup-simplify: Simplify -2 into -2 1546596697.248 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.248 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.248 * [misc]backup-simplify: Simplify PI into PI 1546596697.248 * [misc]taylor: Taking taylor expansion of n in n 1546596697.248 * [misc]backup-simplify: Simplify 0 into 0 1546596697.248 * [misc]backup-simplify: Simplify 1 into 1 1546596697.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.249 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.249 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.249 * [misc]taylor: Taking taylor expansion of k in n 1546596697.249 * [misc]backup-simplify: Simplify k into k 1546596697.249 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.250 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.250 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.251 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.252 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.252 * [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)))) 1546596697.253 * [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))))) 1546596697.254 * [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)))))) 1546596697.254 * [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)))))) 1546596697.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596697.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596697.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596697.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596697.258 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596697.260 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596697.261 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546596697.263 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596697.263 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546596697.263 * [misc]backup-simplify: Simplify 0 into 0 1546596697.264 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596697.265 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596697.266 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546596697.266 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546596697.266 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546596697.266 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of -2 in n 1546596697.266 * [misc]backup-simplify: Simplify -2 into -2 1546596697.266 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596697.266 * [misc]taylor: Taking taylor expansion of PI in n 1546596697.266 * [misc]backup-simplify: Simplify PI into PI 1546596697.266 * [misc]taylor: Taking taylor expansion of n in n 1546596697.266 * [misc]backup-simplify: Simplify 0 into 0 1546596697.266 * [misc]backup-simplify: Simplify 1 into 1 1546596697.267 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596697.267 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596697.267 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596697.268 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596697.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596697.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596697.268 * [misc]taylor: Taking taylor expansion of k in n 1546596697.268 * [misc]backup-simplify: Simplify k into k 1546596697.268 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596697.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596697.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596697.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596697.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596697.269 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596697.269 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546596697.270 * [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)))) 1546596697.271 * [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))))) 1546596697.271 * [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)))))) 1546596697.272 * [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)))))) 1546596697.275 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1546596697.275 * * * [misc]progress: simplifying candidates 1546596697.275 * * * * [misc]progress: [ 1 / 127 ] simplifiying candidate # 1546596697.275 * * * * [misc]progress: [ 2 / 127 ] simplifiying candidate # 1546596697.275 * * * * [misc]progress: [ 3 / 127 ] simplifiying candidate # 1546596697.275 * [enter]simplify: Simplifying (* (log (* 2 (* n PI))) (- 1/2 (/ k 2))) 1546596697.275 * * [misc]simplify: iters left: 6 (11 enodes) 1546596697.280 * * [misc]simplify: iters left: 5 (21 enodes) 1546596697.287 * * [misc]simplify: iters left: 4 (47 enodes) 1546596697.304 * * [misc]simplify: iters left: 3 (113 enodes) 1546596697.342 * * [misc]simplify: iters left: 2 (328 enodes) 1546596697.582 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* PI n) 2))) 1546596697.583 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* PI n) 2))))))) 1546596697.583 * * * * [misc]progress: [ 4 / 127 ] simplifiying candidate # 1546596697.583 * * * * [misc]progress: [ 5 / 127 ] simplifiying candidate # 1546596697.583 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596697.583 * * [misc]simplify: iters left: 4 (5 enodes) 1546596697.585 * * [misc]simplify: iters left: 3 (9 enodes) 1546596697.588 * * [misc]simplify: iters left: 2 (15 enodes) 1546596697.592 * * [misc]simplify: iters left: 1 (17 enodes) 1546596697.596 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596697.596 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (* 1 (- 1/2 (/ k 2))))))) 1546596697.596 * * * * [misc]progress: [ 6 / 127 ] simplifiying candidate # 1546596697.596 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (/ k 2)) 1546596697.596 * * [misc]simplify: iters left: 5 (8 enodes) 1546596697.599 * * [misc]simplify: iters left: 4 (12 enodes) 1546596697.603 * * [misc]simplify: iters left: 3 (18 enodes) 1546596697.608 * * [misc]simplify: iters left: 2 (20 enodes) 1546596697.613 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) 1546596697.613 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* 2 (* n PI)) 1/2) (pow (* (* PI n) 2) (/ k 2)))))) 1546596697.613 * * * * [misc]progress: [ 7 / 127 ] simplifiying candidate # 1546596697.613 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546596697.613 * * [misc]simplify: iters left: 5 (6 enodes) 1546596697.615 * * [misc]simplify: iters left: 4 (8 enodes) 1546596697.618 * * [misc]simplify: iters left: 3 (11 enodes) 1546596697.621 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546596697.621 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546596697.621 * * * * [misc]progress: [ 8 / 127 ] simplifiying candidate # 1546596697.621 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546596697.621 * * [misc]simplify: iters left: 5 (6 enodes) 1546596697.623 * * [misc]simplify: iters left: 4 (8 enodes) 1546596697.625 * * [misc]simplify: iters left: 3 (11 enodes) 1546596697.629 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546596697.629 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546596697.629 * * * * [misc]progress: [ 9 / 127 ] simplifiying candidate # 1546596697.629 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546596697.629 * * [misc]simplify: iters left: 4 (5 enodes) 1546596697.631 * * [misc]simplify: iters left: 3 (7 enodes) 1546596697.633 * * [misc]simplify: iters left: 2 (10 enodes) 1546596697.636 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546596697.636 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) 1) (- 1/2 (/ k 2)))))) 1546596697.636 * * * * [misc]progress: [ 10 / 127 ] simplifiying candidate # 1546596697.636 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- (/ k 2))) 1546596697.637 * * [misc]simplify: iters left: 5 (9 enodes) 1546596697.639 * * [misc]simplify: iters left: 4 (15 enodes) 1546596697.644 * * [misc]simplify: iters left: 3 (21 enodes) 1546596697.650 * * [misc]simplify: iters left: 2 (22 enodes) 1546596697.655 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1546596697.655 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) 1/2) (pow (* (* 2 n) PI) (- (/ k 2))))))) 1546596697.655 * * * * [misc]progress: [ 11 / 127 ] simplifiying candidate # 1546596697.655 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- (/ k 2))) 1546596697.655 * * [misc]simplify: iters left: 5 (9 enodes) 1546596697.657 * * [misc]simplify: iters left: 4 (15 enodes) 1546596697.659 * * [misc]simplify: iters left: 3 (21 enodes) 1546596697.662 * * [misc]simplify: iters left: 2 (22 enodes) 1546596697.665 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1546596697.665 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) 1/2) (pow (* (* 2 n) PI) (- (/ k 2))))))) 1546596697.665 * * * * [misc]progress: [ 12 / 127 ] simplifiying candidate # 1546596697.665 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546596697.665 * * [misc]simplify: iters left: 5 (6 enodes) 1546596697.666 * * [misc]simplify: iters left: 4 (8 enodes) 1546596697.667 * * [misc]simplify: iters left: 3 (11 enodes) 1546596697.669 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546596697.669 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596697.669 * * * * [misc]progress: [ 13 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 14 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 15 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 16 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 17 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 18 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 19 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 20 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 21 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 22 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 23 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 24 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 25 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 26 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 27 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 28 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 29 / 127 ] simplifiying candidate # 1546596697.669 * * * * [misc]progress: [ 30 / 127 ] simplifiying candidate # 1546596697.670 * * * * [misc]progress: [ 31 / 127 ] simplifiying candidate # 1546596697.670 * * * * [misc]progress: [ 32 / 127 ] simplifiying candidate # 1546596697.670 * * * * [misc]progress: [ 33 / 127 ] simplifiying candidate # 1546596697.670 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 (* n PI))) (- 1/2 (/ k 2)))) 1546596697.670 * * [misc]simplify: iters left: 6 (14 enodes) 1546596697.673 * * [misc]simplify: iters left: 5 (26 enodes) 1546596697.677 * * [misc]simplify: iters left: 4 (59 enodes) 1546596697.700 * * [misc]simplify: iters left: 3 (172 enodes) 1546596697.768 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* 2 PI) n)) (log (sqrt k))) 1546596697.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* 2 PI) n)) (log (sqrt k)))))) 1546596697.769 * * * * [misc]progress: [ 34 / 127 ] simplifiying candidate # 1546596697.769 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 (* n PI))) (- 1/2 (/ k 2)))) 1546596697.769 * * [misc]simplify: iters left: 6 (14 enodes) 1546596697.772 * * [misc]simplify: iters left: 5 (26 enodes) 1546596697.781 * * [misc]simplify: iters left: 4 (59 enodes) 1546596697.809 * * [misc]simplify: iters left: 3 (172 enodes) 1546596697.879 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* 2 PI) n)) (log (sqrt k))) 1546596697.879 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* 2 PI) n)) (log (sqrt k)))))) 1546596697.879 * * * * [misc]progress: [ 35 / 127 ] simplifiying candidate # 1546596697.879 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596697.879 * * [misc]simplify: iters left: 6 (14 enodes) 1546596697.883 * * [misc]simplify: iters left: 5 (24 enodes) 1546596697.891 * * [misc]simplify: iters left: 4 (46 enodes) 1546596697.906 * * [misc]simplify: iters left: 3 (105 enodes) 1546596697.951 * * [misc]simplify: iters left: 2 (354 enodes) 1546596698.253 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* 2 PI))) (log (sqrt k))) 1546596698.253 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* 2 PI))) (log (sqrt k)))))) 1546596698.253 * * * * [misc]progress: [ 36 / 127 ] simplifiying candidate # 1546596698.253 * * * * [misc]progress: [ 37 / 127 ] simplifiying candidate # 1546596698.253 * * * * [misc]progress: [ 38 / 127 ] simplifiying candidate # 1546596698.253 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.254 * * [misc]simplify: iters left: 6 (16 enodes) 1546596698.259 * * [misc]simplify: iters left: 5 (31 enodes) 1546596698.269 * * [misc]simplify: iters left: 4 (70 enodes) 1546596698.293 * * [misc]simplify: iters left: 3 (130 enodes) 1546596698.337 * * [misc]simplify: iters left: 2 (206 enodes) 1546596698.427 * * [misc]simplify: iters left: 1 (288 enodes) 1546596698.573 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546596698.573 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 1546596698.573 * * * * [misc]progress: [ 39 / 127 ] simplifiying candidate # 1546596698.573 * * * * [misc]progress: [ 40 / 127 ] simplifiying candidate # 1546596698.574 * * * * [misc]progress: [ 41 / 127 ] simplifiying candidate # 1546596698.574 * * * * [misc]progress: [ 42 / 127 ] simplifiying candidate # 1546596698.574 * * * * [misc]progress: [ 43 / 127 ] simplifiying candidate # 1546596698.574 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) 1/2)) 1546596698.574 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.578 * * [misc]simplify: iters left: 5 (19 enodes) 1546596698.583 * * [misc]simplify: iters left: 4 (27 enodes) 1546596698.590 * * [misc]simplify: iters left: 3 (29 enodes) 1546596698.597 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) 1546596698.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596698.598 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596698.598 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.602 * * [misc]simplify: iters left: 5 (18 enodes) 1546596698.607 * * [misc]simplify: iters left: 4 (24 enodes) 1546596698.613 * * [misc]simplify: iters left: 3 (25 enodes) 1546596698.620 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596698.620 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2)))))) 1546596698.620 * * * * [misc]progress: [ 44 / 127 ] simplifiying candidate # 1546596698.620 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) 1/2)) 1546596698.620 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.624 * * [misc]simplify: iters left: 5 (19 enodes) 1546596698.629 * * [misc]simplify: iters left: 4 (27 enodes) 1546596698.636 * * [misc]simplify: iters left: 3 (29 enodes) 1546596698.644 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) 1546596698.644 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596698.644 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596698.644 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.648 * * [misc]simplify: iters left: 5 (18 enodes) 1546596698.653 * * [misc]simplify: iters left: 4 (24 enodes) 1546596698.660 * * [misc]simplify: iters left: 3 (25 enodes) 1546596698.667 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596698.667 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2)))))) 1546596698.667 * * * * [misc]progress: [ 45 / 127 ] simplifiying candidate # 1546596698.667 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546596698.667 * * [misc]simplify: iters left: 6 (10 enodes) 1546596698.671 * * [misc]simplify: iters left: 5 (14 enodes) 1546596698.675 * * [misc]simplify: iters left: 4 (19 enodes) 1546596698.680 * * [misc]simplify: iters left: 3 (20 enodes) 1546596698.686 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546596698.686 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596698.687 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596698.687 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.690 * * [misc]simplify: iters left: 5 (15 enodes) 1546596698.696 * * [misc]simplify: iters left: 4 (18 enodes) 1546596698.698 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596698.698 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596698.699 * * * * [misc]progress: [ 46 / 127 ] simplifiying candidate # 1546596698.699 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596698.699 * * [misc]simplify: iters left: 6 (16 enodes) 1546596698.702 * * [misc]simplify: iters left: 5 (28 enodes) 1546596698.706 * * [misc]simplify: iters left: 4 (46 enodes) 1546596698.712 * * [misc]simplify: iters left: 3 (50 enodes) 1546596698.719 * * [misc]simplify: iters left: 2 (53 enodes) 1546596698.726 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546596698.726 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (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 (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596698.726 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.727 * * [misc]simplify: iters left: 6 (14 enodes) 1546596698.729 * * [misc]simplify: iters left: 5 (20 enodes) 1546596698.732 * * [misc]simplify: iters left: 4 (29 enodes) 1546596698.736 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.740 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.740 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))))) 1546596698.740 * * * * [misc]progress: [ 47 / 127 ] simplifiying candidate # 1546596698.740 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.740 * * [misc]simplify: iters left: 6 (15 enodes) 1546596698.743 * * [misc]simplify: iters left: 5 (23 enodes) 1546596698.746 * * [misc]simplify: iters left: 4 (34 enodes) 1546596698.751 * * [misc]simplify: iters left: 3 (36 enodes) 1546596698.755 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596698.756 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.756 * * [misc]simplify: iters left: 6 (14 enodes) 1546596698.758 * * [misc]simplify: iters left: 5 (20 enodes) 1546596698.761 * * [misc]simplify: iters left: 4 (29 enodes) 1546596698.765 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.768 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.768 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))))) 1546596698.768 * * * * [misc]progress: [ 48 / 127 ] simplifiying candidate # 1546596698.769 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546596698.769 * * [misc]simplify: iters left: 6 (6 enodes) 1546596698.770 * * [misc]simplify: iters left: 5 (10 enodes) 1546596698.772 * * [misc]simplify: iters left: 4 (16 enodes) 1546596698.774 * * [misc]simplify: iters left: 3 (18 enodes) 1546596698.776 * * [misc]simplify: iters left: 2 (23 enodes) 1546596698.779 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596698.779 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546596698.779 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596698.779 * * [misc]simplify: iters left: 6 (13 enodes) 1546596698.783 * * [misc]simplify: iters left: 5 (19 enodes) 1546596698.790 * * [misc]simplify: iters left: 4 (28 enodes) 1546596698.797 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.805 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 1546596698.805 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596698.805 * * * * [misc]progress: [ 49 / 127 ] simplifiying candidate # 1546596698.806 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) 1/2)) 1546596698.806 * * [misc]simplify: iters left: 6 (11 enodes) 1546596698.809 * * [misc]simplify: iters left: 5 (16 enodes) 1546596698.814 * * [misc]simplify: iters left: 4 (22 enodes) 1546596698.819 * * [misc]simplify: iters left: 3 (23 enodes) 1546596698.825 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) 1546596698.825 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596698.826 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596698.826 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.829 * * [misc]simplify: iters left: 5 (18 enodes) 1546596698.834 * * [misc]simplify: iters left: 4 (24 enodes) 1546596698.841 * * [misc]simplify: iters left: 3 (25 enodes) 1546596698.848 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596698.848 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2)))))) 1546596698.848 * * * * [misc]progress: [ 50 / 127 ] simplifiying candidate # 1546596698.848 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) 1/2)) 1546596698.848 * * [misc]simplify: iters left: 6 (11 enodes) 1546596698.852 * * [misc]simplify: iters left: 5 (16 enodes) 1546596698.856 * * [misc]simplify: iters left: 4 (22 enodes) 1546596698.862 * * [misc]simplify: iters left: 3 (23 enodes) 1546596698.868 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) 1546596698.868 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596698.868 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596698.868 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.872 * * [misc]simplify: iters left: 5 (18 enodes) 1546596698.877 * * [misc]simplify: iters left: 4 (24 enodes) 1546596698.884 * * [misc]simplify: iters left: 3 (25 enodes) 1546596698.890 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596698.890 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2)))))) 1546596698.890 * * * * [misc]progress: [ 51 / 127 ] simplifiying candidate # 1546596698.890 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546596698.890 * * [misc]simplify: iters left: 6 (9 enodes) 1546596698.893 * * [misc]simplify: iters left: 5 (11 enodes) 1546596698.897 * * [misc]simplify: iters left: 4 (14 enodes) 1546596698.901 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546596698.901 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596698.901 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596698.901 * * [misc]simplify: iters left: 6 (12 enodes) 1546596698.905 * * [misc]simplify: iters left: 5 (15 enodes) 1546596698.909 * * [misc]simplify: iters left: 4 (18 enodes) 1546596698.915 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596698.915 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596698.915 * * * * [misc]progress: [ 52 / 127 ] simplifiying candidate # 1546596698.915 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596698.916 * * [misc]simplify: iters left: 6 (15 enodes) 1546596698.920 * * [misc]simplify: iters left: 5 (23 enodes) 1546596698.927 * * [misc]simplify: iters left: 4 (32 enodes) 1546596698.933 * * [misc]simplify: iters left: 3 (34 enodes) 1546596698.938 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546596698.938 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596698.938 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.938 * * [misc]simplify: iters left: 6 (14 enodes) 1546596698.940 * * [misc]simplify: iters left: 5 (20 enodes) 1546596698.943 * * [misc]simplify: iters left: 4 (29 enodes) 1546596698.947 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.951 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))))) 1546596698.951 * * * * [misc]progress: [ 53 / 127 ] simplifiying candidate # 1546596698.952 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.952 * * [misc]simplify: iters left: 6 (14 enodes) 1546596698.954 * * [misc]simplify: iters left: 5 (20 enodes) 1546596698.957 * * [misc]simplify: iters left: 4 (29 enodes) 1546596698.960 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.964 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.964 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596698.965 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596698.965 * * [misc]simplify: iters left: 6 (14 enodes) 1546596698.967 * * [misc]simplify: iters left: 5 (20 enodes) 1546596698.970 * * [misc]simplify: iters left: 4 (29 enodes) 1546596698.976 * * [misc]simplify: iters left: 3 (30 enodes) 1546596698.983 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596698.983 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))))) 1546596698.984 * * * * [misc]progress: [ 54 / 127 ] simplifiying candidate # 1546596698.984 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546596698.984 * * [misc]simplify: iters left: 4 (5 enodes) 1546596698.985 * * [misc]simplify: iters left: 3 (7 enodes) 1546596698.988 * * [misc]simplify: iters left: 2 (9 enodes) 1546596698.989 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596698.990 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546596698.990 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596698.990 * * [misc]simplify: iters left: 6 (13 enodes) 1546596698.994 * * [misc]simplify: iters left: 5 (19 enodes) 1546596698.999 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.007 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.014 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 1546596699.014 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596699.015 * * * * [misc]progress: [ 55 / 127 ] simplifiying candidate # 1546596699.015 * [enter]simplify: Simplifying (/ 1 (pow (* 2 (* n PI)) 1/2)) 1546596699.015 * * [misc]simplify: iters left: 6 (9 enodes) 1546596699.018 * * [misc]simplify: iters left: 5 (16 enodes) 1546596699.022 * * [misc]simplify: iters left: 4 (22 enodes) 1546596699.029 * * [misc]simplify: iters left: 3 (23 enodes) 1546596699.034 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1546596699.034 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596699.035 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.035 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.038 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.043 * * [misc]simplify: iters left: 4 (23 enodes) 1546596699.049 * * [misc]simplify: iters left: 3 (24 enodes) 1546596699.055 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))) 1546596699.055 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) 1546596699.055 * * * * [misc]progress: [ 56 / 127 ] simplifiying candidate # 1546596699.056 * [enter]simplify: Simplifying (/ 1 (pow (* 2 (* n PI)) 1/2)) 1546596699.056 * * [misc]simplify: iters left: 6 (9 enodes) 1546596699.059 * * [misc]simplify: iters left: 5 (16 enodes) 1546596699.063 * * [misc]simplify: iters left: 4 (22 enodes) 1546596699.066 * * [misc]simplify: iters left: 3 (23 enodes) 1546596699.069 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1546596699.069 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2))))))) 1546596699.069 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.069 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.071 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.073 * * [misc]simplify: iters left: 4 (23 enodes) 1546596699.076 * * [misc]simplify: iters left: 3 (24 enodes) 1546596699.079 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))) 1546596699.079 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) 1546596699.079 * * * * [misc]progress: [ 57 / 127 ] simplifiying candidate # 1546596699.079 * [enter]simplify: Simplifying (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1546596699.080 * * [misc]simplify: iters left: 6 (8 enodes) 1546596699.081 * * [misc]simplify: iters left: 5 (12 enodes) 1546596699.082 * * [misc]simplify: iters left: 4 (15 enodes) 1546596699.084 * [exit]simplify: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1546596699.084 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596699.084 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.085 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.086 * * [misc]simplify: iters left: 5 (14 enodes) 1546596699.088 * * [misc]simplify: iters left: 4 (17 enodes) 1546596699.090 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.090 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2))))))) 1546596699.090 * * * * [misc]progress: [ 58 / 127 ] simplifiying candidate # 1546596699.091 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596699.091 * * [misc]simplify: iters left: 6 (14 enodes) 1546596699.093 * * [misc]simplify: iters left: 5 (24 enodes) 1546596699.096 * * [misc]simplify: iters left: 4 (33 enodes) 1546596699.100 * * [misc]simplify: iters left: 3 (34 enodes) 1546596699.105 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596699.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596699.105 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.105 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.107 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.110 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.113 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.118 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))) 1546596699.118 * * * * [misc]progress: [ 59 / 127 ] simplifiying candidate # 1546596699.118 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.118 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.120 * * [misc]simplify: iters left: 5 (21 enodes) 1546596699.123 * * [misc]simplify: iters left: 4 (30 enodes) 1546596699.127 * * [misc]simplify: iters left: 3 (31 enodes) 1546596699.131 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1546596699.131 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))) 1546596699.131 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.131 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.133 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.136 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.140 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.143 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.143 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))) 1546596699.143 * * * * [misc]progress: [ 60 / 127 ] simplifiying candidate # 1546596699.144 * [enter]simplify: Simplifying (/ 1 1) 1546596699.144 * * [misc]simplify: iters left: 2 (2 enodes) 1546596699.144 * * [misc]simplify: iters left: 1 (4 enodes) 1546596699.144 * [exit]simplify: Simplified to 1 1546596699.144 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546596699.145 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.145 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.146 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.149 * * [misc]simplify: iters left: 4 (27 enodes) 1546596699.153 * * [misc]simplify: iters left: 3 (29 enodes) 1546596699.157 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.157 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546596699.157 * * * * [misc]progress: [ 61 / 127 ] simplifiying candidate # 1546596699.157 * * * * [misc]progress: [ 62 / 127 ] simplifiying candidate # 1546596699.158 * * * * [misc]progress: [ 63 / 127 ] simplifiying candidate # 1546596699.158 * * * * [misc]progress: [ 64 / 127 ] simplifiying candidate # 1546596699.158 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- (/ k 2))) 1546596699.158 * * [misc]simplify: iters left: 5 (9 enodes) 1546596699.161 * * [misc]simplify: iters left: 4 (15 enodes) 1546596699.165 * * [misc]simplify: iters left: 3 (21 enodes) 1546596699.171 * * [misc]simplify: iters left: 2 (22 enodes) 1546596699.177 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1546596699.177 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* 2 (* n PI)) 1/2)) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1546596699.177 * * * * [misc]progress: [ 65 / 127 ] simplifiying candidate # 1546596699.177 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- (/ k 2))) 1546596699.177 * * [misc]simplify: iters left: 5 (9 enodes) 1546596699.180 * * [misc]simplify: iters left: 4 (15 enodes) 1546596699.185 * * [misc]simplify: iters left: 3 (21 enodes) 1546596699.190 * * [misc]simplify: iters left: 2 (22 enodes) 1546596699.196 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1546596699.196 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* 2 (* n PI)) 1/2)) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1546596699.196 * * * * [misc]progress: [ 66 / 127 ] simplifiying candidate # 1546596699.196 * [enter]simplify: Simplifying (pow (* n PI) (- 1/2 (/ k 2))) 1546596699.196 * * [misc]simplify: iters left: 5 (9 enodes) 1546596699.199 * * [misc]simplify: iters left: 4 (12 enodes) 1546596699.202 * * [misc]simplify: iters left: 3 (15 enodes) 1546596699.206 * [exit]simplify: Simplified to (pow (* n PI) (- 1/2 (/ k 2))) 1546596699.207 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow (* n PI) (- 1/2 (/ k 2)))))) 1546596699.207 * * * * [misc]progress: [ 67 / 127 ] simplifiying candidate # 1546596699.207 * [enter]simplify: Simplifying (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.207 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.210 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.216 * * [misc]simplify: iters left: 4 (26 enodes) 1546596699.222 * * [misc]simplify: iters left: 3 (27 enodes) 1546596699.229 * [exit]simplify: Simplified to (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546596699.229 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.229 * * * * [misc]progress: [ 68 / 127 ] simplifiying candidate # 1546596699.229 * [enter]simplify: Simplifying (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.229 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.231 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.234 * * [misc]simplify: iters left: 4 (26 enodes) 1546596699.237 * * [misc]simplify: iters left: 3 (27 enodes) 1546596699.240 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546596699.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.240 * * * * [misc]progress: [ 69 / 127 ] simplifiying candidate # 1546596699.240 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) 1546596699.241 * * [misc]simplify: iters left: 5 (10 enodes) 1546596699.242 * * [misc]simplify: iters left: 4 (16 enodes) 1546596699.244 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.248 * * [misc]simplify: iters left: 2 (26 enodes) 1546596699.251 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1/2 (/ k 2))) 1546596699.251 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546596699.251 * * * * [misc]progress: [ 70 / 127 ] simplifiying candidate # 1546596699.251 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596699.251 * * [misc]simplify: iters left: 4 (4 enodes) 1546596699.252 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546596699.252 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546596699.252 * * * * [misc]progress: [ 71 / 127 ] simplifiying candidate # 1546596699.252 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596699.252 * * [misc]simplify: iters left: 2 (3 enodes) 1546596699.253 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596699.253 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546596699.253 * * * * [misc]progress: [ 72 / 127 ] simplifiying candidate # 1546596699.253 * * * * [misc]progress: [ 73 / 127 ] simplifiying candidate # 1546596699.253 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (/ k 2)) 1546596699.253 * * [misc]simplify: iters left: 5 (8 enodes) 1546596699.254 * * [misc]simplify: iters left: 4 (12 enodes) 1546596699.256 * * [misc]simplify: iters left: 3 (18 enodes) 1546596699.259 * * [misc]simplify: iters left: 2 (20 enodes) 1546596699.261 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) 1546596699.261 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* 2 (* n PI)) 1/2)) (pow (* (* PI n) 2) (/ k 2))))) 1546596699.261 * * * * [misc]progress: [ 74 / 127 ] simplifiying candidate # 1546596699.261 * * * * [misc]progress: [ 75 / 127 ] simplifiying candidate # 1546596699.261 * * * * [misc]progress: [ 76 / 127 ] simplifiying candidate # 1546596699.261 * * * * [misc]progress: [ 77 / 127 ] simplifiying candidate # 1546596699.262 * [enter]simplify: Simplifying (- 1) 1546596699.262 * * [misc]simplify: iters left: 2 (2 enodes) 1546596699.263 * * [misc]simplify: iters left: 1 (5 enodes) 1546596699.263 * [exit]simplify: Simplified to -1 1546596699.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) -1)) 1546596699.263 * * * * [misc]progress: [ 78 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 79 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 80 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 81 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 82 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 83 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 84 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 85 / 127 ] simplifiying candidate # 1546596699.263 * * * * [misc]progress: [ 86 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 87 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 88 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 89 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 90 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 91 / 127 ] simplifiying candidate # 1546596699.264 * * * * [misc]progress: [ 92 / 127 ] simplifiying candidate # 1546596699.264 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.264 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.266 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.269 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.273 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.276 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596699.277 * * * * [misc]progress: [ 93 / 127 ] simplifiying candidate # 1546596699.277 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.277 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.279 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.285 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.292 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.300 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596699.300 * * * * [misc]progress: [ 94 / 127 ] simplifiying candidate # 1546596699.300 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.300 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.304 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.306 * * [misc]simplify: iters left: 4 (24 enodes) 1546596699.309 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.313 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596699.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))))) 1546596699.313 * * * * [misc]progress: [ 95 / 127 ] simplifiying candidate # 1546596699.313 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.313 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.315 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.319 * * [misc]simplify: iters left: 4 (24 enodes) 1546596699.322 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.325 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596699.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))))) 1546596699.325 * * * * [misc]progress: [ 96 / 127 ] simplifiying candidate # 1546596699.325 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.325 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.327 * * [misc]simplify: iters left: 5 (15 enodes) 1546596699.329 * * [misc]simplify: iters left: 4 (18 enodes) 1546596699.333 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))))) 1546596699.333 * * * * [misc]progress: [ 97 / 127 ] simplifiying candidate # 1546596699.333 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.333 * * [misc]simplify: iters left: 6 (14 enodes) 1546596699.338 * * [misc]simplify: iters left: 5 (20 enodes) 1546596699.341 * * [misc]simplify: iters left: 4 (29 enodes) 1546596699.346 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.350 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596699.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.350 * * * * [misc]progress: [ 98 / 127 ] simplifiying candidate # 1546596699.350 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.350 * * [misc]simplify: iters left: 6 (14 enodes) 1546596699.352 * * [misc]simplify: iters left: 5 (20 enodes) 1546596699.355 * * [misc]simplify: iters left: 4 (29 enodes) 1546596699.359 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.363 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596699.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.363 * * * * [misc]progress: [ 99 / 127 ] simplifiying candidate # 1546596699.363 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.363 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.365 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.369 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.377 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.384 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 1546596699.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 1546596699.385 * * * * [misc]progress: [ 100 / 127 ] simplifiying candidate # 1546596699.385 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.385 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.389 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.394 * * [misc]simplify: iters left: 4 (24 enodes) 1546596699.401 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.408 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596699.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))))) 1546596699.408 * * * * [misc]progress: [ 101 / 127 ] simplifiying candidate # 1546596699.408 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.408 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.412 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.417 * * [misc]simplify: iters left: 4 (24 enodes) 1546596699.422 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.425 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))) 1546596699.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* 2 n) PI) (/ (- k) 2))))) 1546596699.426 * * * * [misc]progress: [ 102 / 127 ] simplifiying candidate # 1546596699.426 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.426 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.428 * * [misc]simplify: iters left: 5 (15 enodes) 1546596699.430 * * [misc]simplify: iters left: 4 (18 enodes) 1546596699.432 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n PI) (- 1/2 (/ k 2)))))) 1546596699.432 * * * * [misc]progress: [ 103 / 127 ] simplifiying candidate # 1546596699.433 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.433 * * [misc]simplify: iters left: 6 (14 enodes) 1546596699.435 * * [misc]simplify: iters left: 5 (20 enodes) 1546596699.438 * * [misc]simplify: iters left: 4 (29 enodes) 1546596699.442 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.446 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596699.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.446 * * * * [misc]progress: [ 104 / 127 ] simplifiying candidate # 1546596699.446 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.446 * * [misc]simplify: iters left: 6 (14 enodes) 1546596699.449 * * [misc]simplify: iters left: 5 (20 enodes) 1546596699.456 * * [misc]simplify: iters left: 4 (29 enodes) 1546596699.463 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.467 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596699.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1546596699.467 * * * * [misc]progress: [ 105 / 127 ] simplifiying candidate # 1546596699.468 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.468 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.470 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.473 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.476 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.480 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 1546596699.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 1546596699.480 * * * * [misc]progress: [ 106 / 127 ] simplifiying candidate # 1546596699.481 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.481 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.483 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.487 * * [misc]simplify: iters left: 4 (23 enodes) 1546596699.493 * * [misc]simplify: iters left: 3 (24 enodes) 1546596699.500 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))) 1546596699.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* 2 (* n PI)) 1/2))) (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))))) 1546596699.500 * * * * [misc]progress: [ 107 / 127 ] simplifiying candidate # 1546596699.500 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- (/ k 2)))) 1546596699.500 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.503 * * [misc]simplify: iters left: 5 (17 enodes) 1546596699.508 * * [misc]simplify: iters left: 4 (23 enodes) 1546596699.515 * * [misc]simplify: iters left: 3 (24 enodes) 1546596699.520 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))) 1546596699.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* 2 (* n PI)) 1/2))) (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2)))))) 1546596699.521 * * * * [misc]progress: [ 108 / 127 ] simplifiying candidate # 1546596699.521 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.521 * * [misc]simplify: iters left: 6 (11 enodes) 1546596699.523 * * [misc]simplify: iters left: 5 (14 enodes) 1546596699.525 * * [misc]simplify: iters left: 4 (17 enodes) 1546596699.528 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2)))) 1546596699.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n PI) (- 1/2 (/ k 2)))))) 1546596699.528 * * * * [misc]progress: [ 109 / 127 ] simplifiying candidate # 1546596699.528 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.528 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.530 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.533 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.537 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.540 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596699.540 * * * * [misc]progress: [ 110 / 127 ] simplifiying candidate # 1546596699.541 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546596699.541 * * [misc]simplify: iters left: 6 (13 enodes) 1546596699.543 * * [misc]simplify: iters left: 5 (19 enodes) 1546596699.545 * * [misc]simplify: iters left: 4 (28 enodes) 1546596699.549 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.553 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) 1546596699.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 1546596699.553 * * * * [misc]progress: [ 111 / 127 ] simplifiying candidate # 1546596699.553 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.553 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.555 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.560 * * [misc]simplify: iters left: 4 (27 enodes) 1546596699.567 * * [misc]simplify: iters left: 3 (29 enodes) 1546596699.574 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596699.575 * * * * [misc]progress: [ 112 / 127 ] simplifiying candidate # 1546596699.575 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.575 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.579 * * [misc]simplify: iters left: 5 (18 enodes) 1546596699.584 * * [misc]simplify: iters left: 4 (27 enodes) 1546596699.591 * * [misc]simplify: iters left: 3 (29 enodes) 1546596699.598 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596699.599 * * * * [misc]progress: [ 113 / 127 ] simplifiying candidate # 1546596699.599 * [enter]simplify: Simplifying (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1546596699.599 * * [misc]simplify: iters left: 6 (12 enodes) 1546596699.603 * * [misc]simplify: iters left: 5 (20 enodes) 1546596699.608 * * [misc]simplify: iters left: 4 (29 enodes) 1546596699.616 * * [misc]simplify: iters left: 3 (30 enodes) 1546596699.624 * [exit]simplify: Simplified to (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1546596699.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1546596699.624 * * * * [misc]progress: [ 114 / 127 ] simplifiying candidate # 1546596699.624 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (/ k 2)) 1546596699.624 * * [misc]simplify: iters left: 5 (8 enodes) 1546596699.627 * * [misc]simplify: iters left: 4 (12 enodes) 1546596699.630 * * [misc]simplify: iters left: 3 (18 enodes) 1546596699.635 * * [misc]simplify: iters left: 2 (20 enodes) 1546596699.640 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (/ k 2)) 1546596699.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) 1/2))) (pow (* (* PI n) 2) (/ k 2)))) 1546596699.640 * * * * [misc]progress: [ 115 / 127 ] simplifiying candidate # 1546596699.640 * [enter]simplify: Simplifying (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) 1546596699.641 * * [misc]simplify: iters left: 5 (10 enodes) 1546596699.645 * * [misc]simplify: iters left: 4 (16 enodes) 1546596699.649 * * [misc]simplify: iters left: 3 (25 enodes) 1546596699.655 * * [misc]simplify: iters left: 2 (26 enodes) 1546596699.662 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- 1/2 (/ k 2))) 1546596699.662 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546596699.662 * * * * [misc]progress: [ 116 / 127 ] simplifiying candidate # 1546596699.662 * [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))))) 1546596699.663 * * [misc]simplify: iters left: 6 (37 enodes) 1546596699.679 * * [misc]simplify: iters left: 5 (108 enodes) 1546596699.725 * * [misc]simplify: iters left: 4 (368 enodes) 1546596699.978 * [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)))))) 1546596699.979 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (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))))))))) 1546596699.979 * * * * [misc]progress: [ 117 / 127 ] simplifiying candidate # 1546596699.979 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546596699.979 * * [misc]simplify: iters left: 6 (15 enodes) 1546596699.985 * * [misc]simplify: iters left: 5 (33 enodes) 1546596699.995 * * [misc]simplify: iters left: 4 (64 enodes) 1546596700.020 * * [misc]simplify: iters left: 3 (179 enodes) 1546596700.116 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546596700.116 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1546596700.116 * * * * [misc]progress: [ 118 / 127 ] simplifiying candidate # 1546596700.117 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546596700.117 * * [misc]simplify: iters left: 6 (15 enodes) 1546596700.123 * * [misc]simplify: iters left: 5 (30 enodes) 1546596700.133 * * [misc]simplify: iters left: 4 (65 enodes) 1546596700.160 * * [misc]simplify: iters left: 3 (208 enodes) 1546596700.330 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546596700.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1546596700.331 * * * * [misc]progress: [ 119 / 127 ] simplifiying candidate # 1546596700.331 * [enter]simplify: Simplifying (* n PI) 1546596700.331 * * [misc]simplify: iters left: 2 (3 enodes) 1546596700.331 * * [misc]simplify: iters left: 1 (4 enodes) 1546596700.332 * [exit]simplify: Simplified to (* n PI) 1546596700.332 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596700.332 * * * * [misc]progress: [ 120 / 127 ] simplifiying candidate # 1546596700.332 * [enter]simplify: Simplifying (* n PI) 1546596700.332 * * [misc]simplify: iters left: 2 (3 enodes) 1546596700.333 * * [misc]simplify: iters left: 1 (4 enodes) 1546596700.334 * [exit]simplify: Simplified to (* n PI) 1546596700.334 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596700.334 * * * * [misc]progress: [ 121 / 127 ] simplifiying candidate # 1546596700.334 * [enter]simplify: Simplifying (* n PI) 1546596700.334 * * [misc]simplify: iters left: 2 (3 enodes) 1546596700.334 * * [misc]simplify: iters left: 1 (4 enodes) 1546596700.335 * [exit]simplify: Simplified to (* n PI) 1546596700.335 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546596700.335 * * * * [misc]progress: [ 122 / 127 ] simplifiying candidate # 1546596700.335 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546596700.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596700.335 * * * * [misc]progress: [ 123 / 127 ] simplifiying candidate # 1546596700.335 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546596700.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596700.335 * * * * [misc]progress: [ 124 / 127 ] simplifiying candidate # 1546596700.335 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546596700.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546596700.336 * * * * [misc]progress: [ 125 / 127 ] simplifiying candidate # 1546596700.336 * [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))))))))))))) 1546596700.336 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596700.336 * * * * [misc]progress: [ 126 / 127 ] simplifiying candidate # 1546596700.336 * [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)))))))) 1546596700.336 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596700.336 * * * * [misc]progress: [ 127 / 127 ] simplifiying candidate # 1546596700.336 * [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))))))))))) 1546596700.336 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546596700.336 * * * [misc]progress: adding candidates to table 1546596701.851 * * [misc]progress: iteration 4 / 4 1546596701.851 * * * [misc]progress: picking best candidate 1546596701.895 * * * * [misc]pick: Picked # 1546596701.895 * * * [misc]progress: localizing error 1546596701.914 * * * [misc]progress: generating rewritten candidates 1546596701.914 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1546596701.917 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1546596701.919 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1546596701.930 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1546596701.935 * * * [misc]progress: generating series expansions 1546596701.935 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1546596701.935 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546596701.935 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546596701.935 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.935 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.935 * [misc]taylor: Taking taylor expansion of k in k 1546596701.935 * [misc]backup-simplify: Simplify 0 into 0 1546596701.935 * [misc]backup-simplify: Simplify 1 into 1 1546596701.935 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596701.935 * [misc]taylor: Taking taylor expansion of 2 in k 1546596701.935 * [misc]backup-simplify: Simplify 2 into 2 1546596701.936 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596701.936 * [misc]taylor: Taking taylor expansion of n in k 1546596701.936 * [misc]backup-simplify: Simplify n into n 1546596701.936 * [misc]taylor: Taking taylor expansion of PI in k 1546596701.936 * [misc]backup-simplify: Simplify PI into PI 1546596701.936 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596701.936 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596701.936 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596701.936 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596701.936 * [misc]backup-simplify: Simplify (- 0) into 0 1546596701.937 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596701.937 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596701.937 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596701.937 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.937 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.937 * [misc]taylor: Taking taylor expansion of k in n 1546596701.937 * [misc]backup-simplify: Simplify k into k 1546596701.937 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of 2 in n 1546596701.937 * [misc]backup-simplify: Simplify 2 into 2 1546596701.937 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596701.937 * [misc]taylor: Taking taylor expansion of n in n 1546596701.937 * [misc]backup-simplify: Simplify 0 into 0 1546596701.937 * [misc]backup-simplify: Simplify 1 into 1 1546596701.937 * [misc]taylor: Taking taylor expansion of PI in n 1546596701.938 * [misc]backup-simplify: Simplify PI into PI 1546596701.938 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596701.938 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596701.939 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596701.939 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596701.940 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.940 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596701.940 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596701.940 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596701.941 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596701.942 * [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)))) 1546596701.942 * [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))))) 1546596701.942 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596701.942 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596701.942 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596701.942 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596701.942 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.942 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596701.942 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.942 * [misc]taylor: Taking taylor expansion of k in n 1546596701.942 * [misc]backup-simplify: Simplify k into k 1546596701.943 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596701.943 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596701.943 * [misc]taylor: Taking taylor expansion of 2 in n 1546596701.943 * [misc]backup-simplify: Simplify 2 into 2 1546596701.943 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596701.943 * [misc]taylor: Taking taylor expansion of n in n 1546596701.943 * [misc]backup-simplify: Simplify 0 into 0 1546596701.943 * [misc]backup-simplify: Simplify 1 into 1 1546596701.943 * [misc]taylor: Taking taylor expansion of PI in n 1546596701.943 * [misc]backup-simplify: Simplify PI into PI 1546596701.943 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596701.943 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596701.944 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596701.945 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596701.945 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.945 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596701.945 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596701.945 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596701.946 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596701.947 * [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)))) 1546596701.947 * [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))))) 1546596701.947 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596701.947 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.948 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.948 * [misc]taylor: Taking taylor expansion of k in k 1546596701.948 * [misc]backup-simplify: Simplify 0 into 0 1546596701.948 * [misc]backup-simplify: Simplify 1 into 1 1546596701.948 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of n in k 1546596701.948 * [misc]backup-simplify: Simplify n into n 1546596701.948 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596701.948 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596701.948 * [misc]taylor: Taking taylor expansion of 2 in k 1546596701.948 * [misc]backup-simplify: Simplify 2 into 2 1546596701.948 * [misc]taylor: Taking taylor expansion of PI in k 1546596701.948 * [misc]backup-simplify: Simplify PI into PI 1546596701.948 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596701.949 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.949 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596701.949 * [misc]backup-simplify: Simplify (- 0) into 0 1546596701.949 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596701.950 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596701.950 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596701.951 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596701.951 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596701.953 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596701.954 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596701.956 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596701.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596701.957 * [misc]backup-simplify: Simplify (- 0) into 0 1546596701.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596701.958 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596701.958 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596701.960 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596701.960 * [misc]taylor: Taking taylor expansion of 0 in k 1546596701.960 * [misc]backup-simplify: Simplify 0 into 0 1546596701.960 * [misc]backup-simplify: Simplify 0 into 0 1546596701.961 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596701.961 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596701.964 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596701.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596701.964 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596701.964 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596701.964 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596701.965 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596701.966 * [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))))))) 1546596701.966 * [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))))))) 1546596701.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596701.968 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596701.971 * [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 1546596701.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596701.972 * [misc]backup-simplify: Simplify (- 0) into 0 1546596701.972 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596701.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596701.973 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596701.974 * [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 1546596701.974 * [misc]taylor: Taking taylor expansion of 0 in k 1546596701.974 * [misc]backup-simplify: Simplify 0 into 0 1546596701.974 * [misc]backup-simplify: Simplify 0 into 0 1546596701.974 * [misc]backup-simplify: Simplify 0 into 0 1546596701.975 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596701.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596701.979 * [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 1546596701.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596701.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596701.979 * [misc]backup-simplify: Simplify (- 0) into 0 1546596701.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596701.980 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596701.981 * [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))))) 1546596701.983 * [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))))) 1546596701.986 * [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))))) 1546596701.986 * [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)))) 1546596701.986 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546596701.986 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.986 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.986 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.986 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.986 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596701.986 * [misc]taylor: Taking taylor expansion of k in k 1546596701.986 * [misc]backup-simplify: Simplify 0 into 0 1546596701.986 * [misc]backup-simplify: Simplify 1 into 1 1546596701.987 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596701.987 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596701.987 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596701.987 * [misc]taylor: Taking taylor expansion of 2 in k 1546596701.987 * [misc]backup-simplify: Simplify 2 into 2 1546596701.987 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596701.987 * [misc]taylor: Taking taylor expansion of PI in k 1546596701.987 * [misc]backup-simplify: Simplify PI into PI 1546596701.987 * [misc]taylor: Taking taylor expansion of n in k 1546596701.987 * [misc]backup-simplify: Simplify n into n 1546596701.987 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596701.987 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596701.987 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596701.987 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596701.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596701.987 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596701.987 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596701.987 * [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)))) 1546596701.987 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596701.987 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of k in n 1546596701.988 * [misc]backup-simplify: Simplify k into k 1546596701.988 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596701.988 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of 2 in n 1546596701.988 * [misc]backup-simplify: Simplify 2 into 2 1546596701.988 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596701.988 * [misc]taylor: Taking taylor expansion of PI in n 1546596701.988 * [misc]backup-simplify: Simplify PI into PI 1546596701.988 * [misc]taylor: Taking taylor expansion of n in n 1546596701.988 * [misc]backup-simplify: Simplify 0 into 0 1546596701.988 * [misc]backup-simplify: Simplify 1 into 1 1546596701.988 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596701.988 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596701.989 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.989 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596701.989 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596701.989 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596701.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596701.990 * [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))) 1546596701.990 * [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)))) 1546596701.990 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596701.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of k in n 1546596701.990 * [misc]backup-simplify: Simplify k into k 1546596701.990 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596701.990 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of 2 in n 1546596701.990 * [misc]backup-simplify: Simplify 2 into 2 1546596701.990 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596701.990 * [misc]taylor: Taking taylor expansion of PI in n 1546596701.990 * [misc]backup-simplify: Simplify PI into PI 1546596701.990 * [misc]taylor: Taking taylor expansion of n in n 1546596701.990 * [misc]backup-simplify: Simplify 0 into 0 1546596701.990 * [misc]backup-simplify: Simplify 1 into 1 1546596701.991 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596701.991 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596701.991 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.991 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596701.991 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596701.991 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596701.992 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596701.993 * [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))) 1546596701.993 * [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)))) 1546596701.993 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596701.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596701.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of k in k 1546596701.994 * [misc]backup-simplify: Simplify 0 into 0 1546596701.994 * [misc]backup-simplify: Simplify 1 into 1 1546596701.994 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596701.994 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596701.994 * [misc]taylor: Taking taylor expansion of 2 in k 1546596701.994 * [misc]backup-simplify: Simplify 2 into 2 1546596701.994 * [misc]taylor: Taking taylor expansion of PI in k 1546596701.994 * [misc]backup-simplify: Simplify PI into PI 1546596701.994 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596701.995 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596701.995 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596701.995 * [misc]taylor: Taking taylor expansion of n in k 1546596701.995 * [misc]backup-simplify: Simplify n into n 1546596701.995 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596701.995 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596701.995 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596701.996 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596701.996 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596701.996 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596701.997 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596701.997 * [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)))) 1546596701.998 * [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)))) 1546596701.999 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596702.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596702.003 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596702.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596702.003 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.005 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596702.006 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.006 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.006 * [misc]backup-simplify: Simplify 0 into 0 1546596702.006 * [misc]backup-simplify: Simplify 0 into 0 1546596702.006 * [misc]backup-simplify: Simplify 0 into 0 1546596702.008 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.009 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.014 * [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 1546596702.014 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596702.014 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.016 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596702.018 * [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 1546596702.019 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.019 * [misc]backup-simplify: Simplify 0 into 0 1546596702.019 * [misc]backup-simplify: Simplify 0 into 0 1546596702.019 * [misc]backup-simplify: Simplify 0 into 0 1546596702.019 * [misc]backup-simplify: Simplify 0 into 0 1546596702.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.022 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.030 * [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 1546596702.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596702.031 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.035 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.036 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596702.040 * [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 1546596702.040 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.040 * [misc]backup-simplify: Simplify 0 into 0 1546596702.040 * [misc]backup-simplify: Simplify 0 into 0 1546596702.041 * [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))))) 1546596702.041 * [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)) 1546596702.041 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546596702.041 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596702.041 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596702.041 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596702.041 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596702.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.042 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.042 * [misc]taylor: Taking taylor expansion of k in k 1546596702.042 * [misc]backup-simplify: Simplify 0 into 0 1546596702.042 * [misc]backup-simplify: Simplify 1 into 1 1546596702.042 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.042 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.042 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596702.042 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596702.042 * [misc]taylor: Taking taylor expansion of -2 in k 1546596702.042 * [misc]backup-simplify: Simplify -2 into -2 1546596702.042 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596702.042 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.042 * [misc]backup-simplify: Simplify PI into PI 1546596702.042 * [misc]taylor: Taking taylor expansion of n in k 1546596702.042 * [misc]backup-simplify: Simplify n into n 1546596702.042 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596702.042 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596702.042 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596702.042 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.043 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.043 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596702.043 * [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))) 1546596702.043 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.043 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of k in n 1546596702.043 * [misc]backup-simplify: Simplify k into k 1546596702.043 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.043 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.043 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.043 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.043 * [misc]backup-simplify: Simplify -2 into -2 1546596702.044 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.044 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.044 * [misc]backup-simplify: Simplify PI into PI 1546596702.044 * [misc]taylor: Taking taylor expansion of n in n 1546596702.044 * [misc]backup-simplify: Simplify 0 into 0 1546596702.044 * [misc]backup-simplify: Simplify 1 into 1 1546596702.044 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.044 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.045 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.045 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.045 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596702.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.046 * [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))) 1546596702.047 * [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)))) 1546596702.047 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.047 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of k in n 1546596702.047 * [misc]backup-simplify: Simplify k into k 1546596702.047 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.047 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.047 * [misc]backup-simplify: Simplify -2 into -2 1546596702.047 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.047 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.047 * [misc]backup-simplify: Simplify PI into PI 1546596702.047 * [misc]taylor: Taking taylor expansion of n in n 1546596702.047 * [misc]backup-simplify: Simplify 0 into 0 1546596702.047 * [misc]backup-simplify: Simplify 1 into 1 1546596702.048 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.048 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.048 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.049 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.049 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596702.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.050 * [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))) 1546596702.051 * [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)))) 1546596702.051 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of k in k 1546596702.051 * [misc]backup-simplify: Simplify 0 into 0 1546596702.051 * [misc]backup-simplify: Simplify 1 into 1 1546596702.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.051 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596702.051 * [misc]taylor: Taking taylor expansion of -2 in k 1546596702.051 * [misc]backup-simplify: Simplify -2 into -2 1546596702.051 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.051 * [misc]backup-simplify: Simplify PI into PI 1546596702.052 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.052 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.052 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596702.052 * [misc]taylor: Taking taylor expansion of n in k 1546596702.052 * [misc]backup-simplify: Simplify n into n 1546596702.052 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596702.052 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.053 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.053 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596702.053 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596702.054 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596702.054 * [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)))) 1546596702.055 * [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)))) 1546596702.056 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.057 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596702.059 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596702.060 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596702.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596702.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.061 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596702.063 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.063 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.063 * [misc]backup-simplify: Simplify 0 into 0 1546596702.063 * [misc]backup-simplify: Simplify 0 into 0 1546596702.063 * [misc]backup-simplify: Simplify 0 into 0 1546596702.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.066 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.071 * [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 1546596702.071 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.071 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596702.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.072 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.073 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596702.075 * [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 1546596702.075 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.075 * [misc]backup-simplify: Simplify 0 into 0 1546596702.075 * [misc]backup-simplify: Simplify 0 into 0 1546596702.075 * [misc]backup-simplify: Simplify 0 into 0 1546596702.075 * [misc]backup-simplify: Simplify 0 into 0 1546596702.077 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.079 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.087 * [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 1546596702.087 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.087 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596702.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.089 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546596702.093 * [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 1546596702.093 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.093 * [misc]backup-simplify: Simplify 0 into 0 1546596702.093 * [misc]backup-simplify: Simplify 0 into 0 1546596702.094 * [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))))) 1546596702.094 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1546596702.094 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546596702.094 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546596702.094 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596702.094 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.094 * [misc]backup-simplify: Simplify 2 into 2 1546596702.094 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596702.094 * [misc]taylor: Taking taylor expansion of n in n 1546596702.094 * [misc]backup-simplify: Simplify 0 into 0 1546596702.094 * [misc]backup-simplify: Simplify 1 into 1 1546596702.094 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.094 * [misc]backup-simplify: Simplify PI into PI 1546596702.094 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596702.094 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.094 * [misc]backup-simplify: Simplify 2 into 2 1546596702.094 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596702.094 * [misc]taylor: Taking taylor expansion of n in n 1546596702.094 * [misc]backup-simplify: Simplify 0 into 0 1546596702.094 * [misc]backup-simplify: Simplify 1 into 1 1546596702.094 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.094 * [misc]backup-simplify: Simplify PI into PI 1546596702.095 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596702.095 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596702.095 * [misc]backup-simplify: Simplify 0 into 0 1546596702.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596702.097 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596702.097 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.098 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596702.099 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596702.099 * [misc]backup-simplify: Simplify 0 into 0 1546596702.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596702.102 * [misc]backup-simplify: Simplify 0 into 0 1546596702.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596702.107 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546596702.107 * [misc]backup-simplify: Simplify 0 into 0 1546596702.110 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596702.112 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546596702.113 * [misc]backup-simplify: Simplify 0 into 0 1546596702.116 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596702.119 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546596702.119 * [misc]backup-simplify: Simplify 0 into 0 1546596702.123 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546596702.127 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546596702.127 * [misc]backup-simplify: Simplify 0 into 0 1546596702.128 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546596702.128 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546596702.128 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546596702.128 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596702.128 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.128 * [misc]backup-simplify: Simplify 2 into 2 1546596702.128 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.128 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.128 * [misc]backup-simplify: Simplify PI into PI 1546596702.128 * [misc]taylor: Taking taylor expansion of n in n 1546596702.128 * [misc]backup-simplify: Simplify 0 into 0 1546596702.128 * [misc]backup-simplify: Simplify 1 into 1 1546596702.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.129 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596702.129 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.129 * [misc]backup-simplify: Simplify 2 into 2 1546596702.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.129 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.129 * [misc]backup-simplify: Simplify PI into PI 1546596702.129 * [misc]taylor: Taking taylor expansion of n in n 1546596702.129 * [misc]backup-simplify: Simplify 0 into 0 1546596702.129 * [misc]backup-simplify: Simplify 1 into 1 1546596702.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.130 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.131 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.131 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596702.131 * [misc]backup-simplify: Simplify 0 into 0 1546596702.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.134 * [misc]backup-simplify: Simplify 0 into 0 1546596702.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.137 * [misc]backup-simplify: Simplify 0 into 0 1546596702.139 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596702.141 * [misc]backup-simplify: Simplify 0 into 0 1546596702.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596702.147 * [misc]backup-simplify: Simplify 0 into 0 1546596702.149 * [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 1546596702.153 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596702.153 * [misc]backup-simplify: Simplify 0 into 0 1546596702.153 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546596702.153 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546596702.153 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546596702.153 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.153 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.153 * [misc]backup-simplify: Simplify -2 into -2 1546596702.153 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.154 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.154 * [misc]backup-simplify: Simplify PI into PI 1546596702.154 * [misc]taylor: Taking taylor expansion of n in n 1546596702.154 * [misc]backup-simplify: Simplify 0 into 0 1546596702.154 * [misc]backup-simplify: Simplify 1 into 1 1546596702.154 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.154 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.154 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.154 * [misc]backup-simplify: Simplify -2 into -2 1546596702.154 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.154 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.154 * [misc]backup-simplify: Simplify PI into PI 1546596702.154 * [misc]taylor: Taking taylor expansion of n in n 1546596702.154 * [misc]backup-simplify: Simplify 0 into 0 1546596702.154 * [misc]backup-simplify: Simplify 1 into 1 1546596702.155 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.155 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.155 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.156 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.157 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596702.157 * [misc]backup-simplify: Simplify 0 into 0 1546596702.158 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.159 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.160 * [misc]backup-simplify: Simplify 0 into 0 1546596702.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.163 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.163 * [misc]backup-simplify: Simplify 0 into 0 1546596702.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.167 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546596702.167 * [misc]backup-simplify: Simplify 0 into 0 1546596702.169 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.172 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546596702.172 * [misc]backup-simplify: Simplify 0 into 0 1546596702.174 * [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 1546596702.178 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546596702.178 * [misc]backup-simplify: Simplify 0 into 0 1546596702.178 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546596702.178 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1546596702.179 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) into (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546596702.179 * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546596702.179 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.179 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.179 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.179 * [misc]taylor: Taking taylor expansion of k in k 1546596702.179 * [misc]backup-simplify: Simplify 0 into 0 1546596702.179 * [misc]backup-simplify: Simplify 1 into 1 1546596702.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.179 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.179 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.180 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1546596702.180 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1546596702.180 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.180 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.180 * [misc]taylor: Taking taylor expansion of k in k 1546596702.180 * [misc]backup-simplify: Simplify 0 into 0 1546596702.180 * [misc]backup-simplify: Simplify 1 into 1 1546596702.180 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of 2 in k 1546596702.180 * [misc]backup-simplify: Simplify 2 into 2 1546596702.180 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546596702.180 * [misc]taylor: Taking taylor expansion of n in k 1546596702.180 * [misc]backup-simplify: Simplify n into n 1546596702.180 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.180 * [misc]backup-simplify: Simplify PI into PI 1546596702.180 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546596702.180 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546596702.180 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546596702.181 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596702.181 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.181 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546596702.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546596702.181 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of 1/4 in n 1546596702.181 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.181 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.181 * [misc]taylor: Taking taylor expansion of k in n 1546596702.181 * [misc]backup-simplify: Simplify k into k 1546596702.181 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.182 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1546596702.182 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1546596702.182 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1546596702.182 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.182 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.182 * [misc]taylor: Taking taylor expansion of k in n 1546596702.182 * [misc]backup-simplify: Simplify k into k 1546596702.182 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.182 * [misc]backup-simplify: Simplify 2 into 2 1546596702.182 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596702.182 * [misc]taylor: Taking taylor expansion of n in n 1546596702.182 * [misc]backup-simplify: Simplify 0 into 0 1546596702.182 * [misc]backup-simplify: Simplify 1 into 1 1546596702.182 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.182 * [misc]backup-simplify: Simplify PI into PI 1546596702.183 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596702.183 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596702.184 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596702.184 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596702.185 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.185 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596702.185 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596702.185 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596702.186 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596702.186 * [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)))) 1546596702.187 * [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))))) 1546596702.187 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of 1/4 in n 1546596702.187 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.187 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.187 * [misc]taylor: Taking taylor expansion of k in n 1546596702.187 * [misc]backup-simplify: Simplify k into k 1546596702.187 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.188 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1546596702.188 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1546596702.188 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1546596702.188 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.188 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.188 * [misc]taylor: Taking taylor expansion of k in n 1546596702.188 * [misc]backup-simplify: Simplify k into k 1546596702.188 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.188 * [misc]backup-simplify: Simplify 2 into 2 1546596702.188 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546596702.188 * [misc]taylor: Taking taylor expansion of n in n 1546596702.188 * [misc]backup-simplify: Simplify 0 into 0 1546596702.188 * [misc]backup-simplify: Simplify 1 into 1 1546596702.188 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.188 * [misc]backup-simplify: Simplify PI into PI 1546596702.188 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546596702.189 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546596702.189 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546596702.190 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546596702.190 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.190 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546596702.190 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546596702.191 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546596702.191 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596702.192 * [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)))) 1546596702.192 * [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))))) 1546596702.193 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1546596702.193 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) in k 1546596702.193 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546596702.193 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546596702.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546596702.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.193 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546596702.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.194 * [misc]taylor: Taking taylor expansion of k in k 1546596702.194 * [misc]backup-simplify: Simplify 0 into 0 1546596702.194 * [misc]backup-simplify: Simplify 1 into 1 1546596702.194 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546596702.194 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596702.194 * [misc]taylor: Taking taylor expansion of n in k 1546596702.194 * [misc]backup-simplify: Simplify n into n 1546596702.194 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596702.194 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596702.194 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596702.194 * [misc]taylor: Taking taylor expansion of 2 in k 1546596702.194 * [misc]backup-simplify: Simplify 2 into 2 1546596702.194 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.194 * [misc]backup-simplify: Simplify PI into PI 1546596702.194 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.195 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.195 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546596702.195 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.195 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.196 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596702.197 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546596702.197 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546596702.197 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1546596702.197 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1546596702.197 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1546596702.197 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.197 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.197 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1546596702.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.197 * [misc]taylor: Taking taylor expansion of k in k 1546596702.197 * [misc]backup-simplify: Simplify 0 into 0 1546596702.197 * [misc]backup-simplify: Simplify 1 into 1 1546596702.198 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.198 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.198 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1546596702.198 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1546596702.200 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1546596702.200 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1546596702.202 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546596702.203 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546596702.205 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596702.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546596702.206 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.207 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596702.207 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546596702.209 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.209 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596702.210 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1546596702.210 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1546596702.211 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.212 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546596702.212 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.212 * [misc]backup-simplify: Simplify 0 into 0 1546596702.212 * [misc]backup-simplify: Simplify 0 into 0 1546596702.212 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596702.215 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546596702.215 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.215 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1546596702.216 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.217 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546596702.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596702.220 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596702.220 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.221 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546596702.221 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596702.221 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596702.222 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546596702.223 * [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))))))) 1546596702.225 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1546596702.228 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1546596702.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.231 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546596702.236 * [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 1546596702.236 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546596702.236 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.237 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546596702.238 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596702.240 * [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 1546596702.240 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.242 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1546596702.242 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1546596702.244 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.245 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546596702.245 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.245 * [misc]backup-simplify: Simplify 0 into 0 1546596702.245 * [misc]backup-simplify: Simplify 0 into 0 1546596702.245 * [misc]backup-simplify: Simplify 0 into 0 1546596702.246 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.251 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546596702.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.251 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1546596702.253 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.255 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546596702.256 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.261 * [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 1546596702.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546596702.262 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546596702.265 * [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))))) 1546596702.270 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1546596702.274 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1546596702.282 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1546596702.282 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) into (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546596702.283 * [misc]approximate: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546596702.283 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546596702.283 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1546596702.283 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1546596702.283 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1546596702.283 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.283 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.283 * [misc]taylor: Taking taylor expansion of (log k) in k 1546596702.283 * [misc]taylor: Taking taylor expansion of k in k 1546596702.283 * [misc]backup-simplify: Simplify 0 into 0 1546596702.283 * [misc]backup-simplify: Simplify 1 into 1 1546596702.283 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.283 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.283 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.283 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.283 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of k in k 1546596702.284 * [misc]backup-simplify: Simplify 0 into 0 1546596702.284 * [misc]backup-simplify: Simplify 1 into 1 1546596702.284 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.284 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of 2 in k 1546596702.284 * [misc]backup-simplify: Simplify 2 into 2 1546596702.284 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596702.284 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.284 * [misc]backup-simplify: Simplify PI into PI 1546596702.284 * [misc]taylor: Taking taylor expansion of n in k 1546596702.284 * [misc]backup-simplify: Simplify n into n 1546596702.284 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596702.284 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546596702.284 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546596702.285 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.285 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596702.285 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596702.285 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546596702.285 * [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)))) 1546596702.285 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596702.285 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1546596702.285 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1546596702.285 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1546596702.285 * [misc]taylor: Taking taylor expansion of 1/4 in n 1546596702.285 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.286 * [misc]taylor: Taking taylor expansion of (log k) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of k in n 1546596702.286 * [misc]backup-simplify: Simplify k into k 1546596702.286 * [misc]backup-simplify: Simplify (log k) into (log k) 1546596702.286 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.286 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.286 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of k in n 1546596702.286 * [misc]backup-simplify: Simplify k into k 1546596702.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.286 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.286 * [misc]backup-simplify: Simplify 2 into 2 1546596702.286 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.286 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.286 * [misc]backup-simplify: Simplify PI into PI 1546596702.286 * [misc]taylor: Taking taylor expansion of n in n 1546596702.286 * [misc]backup-simplify: Simplify 0 into 0 1546596702.286 * [misc]backup-simplify: Simplify 1 into 1 1546596702.287 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.287 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.288 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.288 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.288 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596702.288 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596702.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.289 * [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))) 1546596702.290 * [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)))) 1546596702.290 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of 1/4 in n 1546596702.290 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.290 * [misc]taylor: Taking taylor expansion of (log k) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of k in n 1546596702.290 * [misc]backup-simplify: Simplify k into k 1546596702.290 * [misc]backup-simplify: Simplify (log k) into (log k) 1546596702.290 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.290 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.290 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546596702.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.291 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.291 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.291 * [misc]taylor: Taking taylor expansion of k in n 1546596702.291 * [misc]backup-simplify: Simplify k into k 1546596702.291 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.291 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546596702.291 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546596702.291 * [misc]taylor: Taking taylor expansion of 2 in n 1546596702.291 * [misc]backup-simplify: Simplify 2 into 2 1546596702.291 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.291 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.291 * [misc]backup-simplify: Simplify PI into PI 1546596702.291 * [misc]taylor: Taking taylor expansion of n in n 1546596702.291 * [misc]backup-simplify: Simplify 0 into 0 1546596702.291 * [misc]backup-simplify: Simplify 1 into 1 1546596702.291 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.291 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.292 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.292 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.292 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546596702.292 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546596702.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.293 * [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))) 1546596702.294 * [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)))) 1546596702.295 * [misc]backup-simplify: Simplify (* (pow k 1/4) (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)))) (pow k 1/4)) 1546596702.295 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of k in k 1546596702.295 * [misc]backup-simplify: Simplify 0 into 0 1546596702.295 * [misc]backup-simplify: Simplify 1 into 1 1546596702.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.295 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546596702.295 * [misc]taylor: Taking taylor expansion of 2 in k 1546596702.296 * [misc]backup-simplify: Simplify 2 into 2 1546596702.296 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.296 * [misc]backup-simplify: Simplify PI into PI 1546596702.296 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546596702.297 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546596702.297 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596702.297 * [misc]taylor: Taking taylor expansion of n in k 1546596702.297 * [misc]backup-simplify: Simplify n into n 1546596702.297 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596702.297 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.297 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546596702.297 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546596702.297 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596702.298 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546596702.298 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546596702.299 * [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)))) 1546596702.299 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1546596702.299 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1546596702.299 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1546596702.299 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.299 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.299 * [misc]taylor: Taking taylor expansion of (log k) in k 1546596702.299 * [misc]taylor: Taking taylor expansion of k in k 1546596702.299 * [misc]backup-simplify: Simplify 0 into 0 1546596702.299 * [misc]backup-simplify: Simplify 1 into 1 1546596702.299 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.299 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.300 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.300 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.300 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1546596702.300 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1546596702.301 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546596702.303 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546596702.303 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596702.303 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596702.303 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.304 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.304 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546596702.305 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.306 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1546596702.306 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1546596702.307 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.307 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546596702.307 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.307 * [misc]backup-simplify: Simplify 0 into 0 1546596702.307 * [misc]backup-simplify: Simplify 0 into 0 1546596702.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546596702.309 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.309 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1546596702.309 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.310 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (pow k 1/4))) into 0 1546596702.310 * [misc]backup-simplify: Simplify 0 into 0 1546596702.311 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.311 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.314 * [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 1546596702.314 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.314 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596702.315 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.315 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.316 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546596702.317 * [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 1546596702.318 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1546596702.318 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1546596702.320 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.320 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546596702.320 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.320 * [misc]backup-simplify: Simplify 0 into 0 1546596702.320 * [misc]backup-simplify: Simplify 0 into 0 1546596702.320 * [misc]backup-simplify: Simplify 0 into 0 1546596702.323 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546596702.323 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.323 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1546596702.324 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.325 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1546596702.325 * [misc]backup-simplify: Simplify 0 into 0 1546596702.326 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546596702.331 * [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 1546596702.331 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.332 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546596702.332 * [misc]backup-simplify: Simplify (- 0) into 0 1546596702.332 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.333 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546596702.334 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546596702.337 * [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 1546596702.340 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1546596702.341 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1546596702.345 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546596702.346 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1546596702.347 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.347 * [misc]backup-simplify: Simplify 0 into 0 1546596702.347 * [misc]backup-simplify: Simplify 0 into 0 1546596702.348 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1546596702.348 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1546596702.348 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1546596702.348 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546596702.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1546596702.348 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546596702.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596702.348 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596702.348 * [misc]taylor: Taking taylor expansion of -1 in k 1546596702.349 * [misc]backup-simplify: Simplify -1 into -1 1546596702.349 * [misc]taylor: Taking taylor expansion of k in k 1546596702.349 * [misc]backup-simplify: Simplify 0 into 0 1546596702.349 * [misc]backup-simplify: Simplify 1 into 1 1546596702.349 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596702.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596702.350 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596702.350 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546596702.350 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1546596702.350 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596702.351 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596702.352 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1546596702.352 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1546596702.353 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.353 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of k in k 1546596702.353 * [misc]backup-simplify: Simplify 0 into 0 1546596702.353 * [misc]backup-simplify: Simplify 1 into 1 1546596702.353 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.353 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of -2 in k 1546596702.353 * [misc]backup-simplify: Simplify -2 into -2 1546596702.353 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546596702.353 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.353 * [misc]backup-simplify: Simplify PI into PI 1546596702.353 * [misc]taylor: Taking taylor expansion of n in k 1546596702.353 * [misc]backup-simplify: Simplify n into n 1546596702.353 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546596702.353 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546596702.354 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546596702.354 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.354 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.354 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546596702.354 * [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))) 1546596702.354 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596702.354 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1546596702.354 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1546596702.354 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596702.354 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596702.354 * [misc]taylor: Taking taylor expansion of -1 in n 1546596702.354 * [misc]backup-simplify: Simplify -1 into -1 1546596702.354 * [misc]taylor: Taking taylor expansion of k in n 1546596702.354 * [misc]backup-simplify: Simplify k into k 1546596702.355 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596702.355 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596702.355 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596702.355 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596702.355 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1546596702.355 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1546596702.355 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1546596702.355 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1546596702.355 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596702.355 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of k in n 1546596702.356 * [misc]backup-simplify: Simplify k into k 1546596702.356 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.356 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.356 * [misc]backup-simplify: Simplify -2 into -2 1546596702.356 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.356 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.356 * [misc]backup-simplify: Simplify PI into PI 1546596702.356 * [misc]taylor: Taking taylor expansion of n in n 1546596702.356 * [misc]backup-simplify: Simplify 0 into 0 1546596702.356 * [misc]backup-simplify: Simplify 1 into 1 1546596702.356 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.357 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.357 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.357 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.357 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596702.358 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.359 * [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))) 1546596702.359 * [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)))) 1546596702.359 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546596702.359 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1546596702.359 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1546596702.359 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546596702.359 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546596702.359 * [misc]taylor: Taking taylor expansion of -1 in n 1546596702.360 * [misc]backup-simplify: Simplify -1 into -1 1546596702.360 * [misc]taylor: Taking taylor expansion of k in n 1546596702.360 * [misc]backup-simplify: Simplify k into k 1546596702.360 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546596702.360 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546596702.360 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546596702.360 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546596702.360 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1546596702.360 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1546596702.360 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1546596702.360 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1546596702.361 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.361 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of k in n 1546596702.361 * [misc]backup-simplify: Simplify k into k 1546596702.361 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546596702.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546596702.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.361 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of -2 in n 1546596702.361 * [misc]backup-simplify: Simplify -2 into -2 1546596702.361 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546596702.361 * [misc]taylor: Taking taylor expansion of PI in n 1546596702.361 * [misc]backup-simplify: Simplify PI into PI 1546596702.361 * [misc]taylor: Taking taylor expansion of n in n 1546596702.361 * [misc]backup-simplify: Simplify 0 into 0 1546596702.361 * [misc]backup-simplify: Simplify 1 into 1 1546596702.361 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546596702.362 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.362 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.362 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546596702.362 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546596702.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.364 * [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))) 1546596702.364 * [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)))) 1546596702.365 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546596702.365 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k 1546596702.365 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1546596702.365 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546596702.365 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596702.365 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596702.365 * [misc]taylor: Taking taylor expansion of -1 in k 1546596702.365 * [misc]backup-simplify: Simplify -1 into -1 1546596702.365 * [misc]taylor: Taking taylor expansion of k in k 1546596702.365 * [misc]backup-simplify: Simplify 0 into 0 1546596702.365 * [misc]backup-simplify: Simplify 1 into 1 1546596702.366 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596702.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596702.366 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596702.366 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546596702.367 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1546596702.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596702.368 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596702.369 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1546596702.369 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1546596702.369 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546596702.369 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546596702.369 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546596702.369 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546596702.369 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.370 * [misc]taylor: Taking taylor expansion of k in k 1546596702.370 * [misc]backup-simplify: Simplify 0 into 0 1546596702.370 * [misc]backup-simplify: Simplify 1 into 1 1546596702.370 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.370 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546596702.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546596702.370 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546596702.370 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546596702.370 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546596702.370 * [misc]taylor: Taking taylor expansion of -2 in k 1546596702.370 * [misc]backup-simplify: Simplify -2 into -2 1546596702.370 * [misc]taylor: Taking taylor expansion of PI in k 1546596702.370 * [misc]backup-simplify: Simplify PI into PI 1546596702.370 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546596702.371 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546596702.371 * [misc]taylor: Taking taylor expansion of (log n) in k 1546596702.371 * [misc]taylor: Taking taylor expansion of n in k 1546596702.371 * [misc]backup-simplify: Simplify n into n 1546596702.371 * [misc]backup-simplify: Simplify (log n) into (log n) 1546596702.371 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546596702.371 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546596702.371 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546596702.372 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546596702.372 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546596702.373 * [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)))) 1546596702.374 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (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)))) (sqrt +nan.0)) 1546596702.374 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) 1546596702.375 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546596702.376 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546596702.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546596702.379 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546596702.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546596702.379 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.380 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.381 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546596702.383 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.383 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546596702.383 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.383 * [misc]backup-simplify: Simplify 0 into 0 1546596702.383 * [misc]backup-simplify: Simplify 0 into 0 1546596702.385 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +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)))) (sqrt +nan.0)))) 1546596702.385 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) 1546596702.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.388 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546596702.393 * [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 1546596702.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546596702.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546596702.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546596702.395 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546596702.397 * [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 1546596702.398 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546596702.399 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546596702.399 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1546596702.400 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1546596702.401 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0 1546596702.401 * [misc]taylor: Taking taylor expansion of 0 in k 1546596702.401 * [misc]backup-simplify: Simplify 0 into 0 1546596702.401 * [misc]backup-simplify: Simplify 0 into 0 1546596702.401 * [misc]backup-simplify: Simplify 0 into 0 1546596702.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.402 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596702.404 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1546596702.406 * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1546596702.409 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +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)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1546596702.412 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1546596702.416 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) into (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1546596702.416 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1546596702.416 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) 1546596702.416 * [misc]approximate: Taking taylor expansion of (pow k 1/4) in (k) around 0 1546596702.416 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1546596702.416 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1546596702.416 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1546596702.416 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.416 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.417 * [misc]taylor: Taking taylor expansion of (log k) in k 1546596702.417 * [misc]taylor: Taking taylor expansion of k in k 1546596702.417 * [misc]backup-simplify: Simplify 0 into 0 1546596702.417 * [misc]backup-simplify: Simplify 1 into 1 1546596702.417 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.417 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.417 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.417 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.417 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1546596702.417 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1546596702.417 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1546596702.417 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.417 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.417 * [misc]taylor: Taking taylor expansion of (log k) in k 1546596702.417 * [misc]taylor: Taking taylor expansion of k in k 1546596702.417 * [misc]backup-simplify: Simplify 0 into 0 1546596702.417 * [misc]backup-simplify: Simplify 1 into 1 1546596702.417 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.418 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.418 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1546596702.418 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1546596702.418 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1546596702.421 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546596702.421 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.421 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1546596702.422 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.422 * [misc]backup-simplify: Simplify 0 into 0 1546596702.427 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546596702.427 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.427 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1546596702.429 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.429 * [misc]backup-simplify: Simplify 0 into 0 1546596702.436 * [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 1546596702.436 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.436 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1546596702.438 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546596702.438 * [misc]backup-simplify: Simplify 0 into 0 1546596702.445 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1546596702.445 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.445 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 1546596702.449 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.449 * [misc]backup-simplify: Simplify 0 into 0 1546596702.459 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1546596702.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.460 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 1546596702.465 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546596702.465 * [misc]backup-simplify: Simplify 0 into 0 1546596702.481 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1546596702.481 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1546596702.482 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 1546596702.490 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.490 * [misc]backup-simplify: Simplify 0 into 0 1546596702.490 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1546596702.490 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) 1546596702.490 * [misc]approximate: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 1546596702.490 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1546596702.490 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1546596702.490 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1546596702.490 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.490 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.490 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1546596702.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.490 * [misc]taylor: Taking taylor expansion of k in k 1546596702.490 * [misc]backup-simplify: Simplify 0 into 0 1546596702.490 * [misc]backup-simplify: Simplify 1 into 1 1546596702.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.490 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.490 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.491 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1546596702.491 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1546596702.491 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1546596702.491 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1546596702.491 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1546596702.491 * [misc]taylor: Taking taylor expansion of 1/4 in k 1546596702.491 * [misc]backup-simplify: Simplify 1/4 into 1/4 1546596702.491 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1546596702.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546596702.491 * [misc]taylor: Taking taylor expansion of k in k 1546596702.491 * [misc]backup-simplify: Simplify 0 into 0 1546596702.491 * [misc]backup-simplify: Simplify 1 into 1 1546596702.491 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546596702.491 * [misc]backup-simplify: Simplify (log 1) into 0 1546596702.491 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.491 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1546596702.491 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1546596702.491 * [misc]backup-simplify: Simplify (pow k -1/4) into (pow k -1/4) 1546596702.492 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546596702.494 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546596702.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.495 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1546596702.496 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1546596702.496 * [misc]backup-simplify: Simplify 0 into 0 1546596702.496 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.501 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1546596702.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.501 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1546596702.503 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.503 * [misc]backup-simplify: Simplify 0 into 0 1546596702.504 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.511 * [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 1546596702.511 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.512 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1546596702.515 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546596702.515 * [misc]backup-simplify: Simplify 0 into 0 1546596702.515 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.527 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1546596702.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.528 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1546596702.533 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.533 * [misc]backup-simplify: Simplify 0 into 0 1546596702.533 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.550 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1546596702.551 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.551 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1546596702.560 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546596702.560 * [misc]backup-simplify: Simplify 0 into 0 1546596702.560 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.575 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1546596702.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1546596702.576 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1546596702.584 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546596702.584 * [misc]backup-simplify: Simplify 0 into 0 1546596702.584 * [misc]backup-simplify: Simplify (pow (/ 1 k) -1/4) into (pow (/ 1 k) -1/4) 1546596702.584 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 (- k)))) into (sqrt (sqrt (/ -1 k))) 1546596702.585 * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in (k) around 0 1546596702.585 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1546596702.585 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596702.585 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596702.585 * [misc]taylor: Taking taylor expansion of -1 in k 1546596702.585 * [misc]backup-simplify: Simplify -1 into -1 1546596702.585 * [misc]taylor: Taking taylor expansion of k in k 1546596702.585 * [misc]backup-simplify: Simplify 0 into 0 1546596702.585 * [misc]backup-simplify: Simplify 1 into 1 1546596702.585 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596702.585 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596702.585 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596702.585 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1546596702.586 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596702.586 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596702.586 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1546596702.587 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1546596702.587 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546596702.587 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546596702.587 * [misc]taylor: Taking taylor expansion of -1 in k 1546596702.587 * [misc]backup-simplify: Simplify -1 into -1 1546596702.587 * [misc]taylor: Taking taylor expansion of k in k 1546596702.587 * [misc]backup-simplify: Simplify 0 into 0 1546596702.587 * [misc]backup-simplify: Simplify 1 into 1 1546596702.587 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546596702.587 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546596702.587 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546596702.587 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1546596702.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546596702.588 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546596702.588 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1546596702.588 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1546596702.589 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 1546596702.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546596702.590 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546596702.591 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1546596702.592 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1546596702.594 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1546596702.594 * * * [misc]progress: simplifying candidates 1546596702.594 * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # 1546596702.594 * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # 1546596702.594 * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # 1546596702.594 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546596702.595 * * [misc]simplify: iters left: 6 (11 enodes) 1546596702.597 * * [misc]simplify: iters left: 5 (21 enodes) 1546596702.601 * * [misc]simplify: iters left: 4 (47 enodes) 1546596702.610 * * [misc]simplify: iters left: 3 (113 enodes) 1546596702.651 * * [misc]simplify: iters left: 2 (328 enodes) 1546596702.896 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546596702.897 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.897 * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # 1546596702.897 * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # 1546596702.897 * [enter]simplify: Simplifying (* PI (* n 2)) 1546596702.897 * * [misc]simplify: iters left: 4 (5 enodes) 1546596702.899 * * [misc]simplify: iters left: 3 (9 enodes) 1546596702.900 * * [misc]simplify: iters left: 2 (15 enodes) 1546596702.902 * * [misc]simplify: iters left: 1 (17 enodes) 1546596702.904 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546596702.904 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.904 * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # 1546596702.905 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546596702.905 * * [misc]simplify: iters left: 5 (8 enodes) 1546596702.906 * * [misc]simplify: iters left: 4 (12 enodes) 1546596702.908 * * [misc]simplify: iters left: 3 (18 enodes) 1546596702.910 * * [misc]simplify: iters left: 2 (20 enodes) 1546596702.913 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546596702.913 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.913 * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # 1546596702.913 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546596702.913 * * [misc]simplify: iters left: 5 (6 enodes) 1546596702.914 * * [misc]simplify: iters left: 4 (8 enodes) 1546596702.915 * * [misc]simplify: iters left: 3 (11 enodes) 1546596702.917 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546596702.917 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (sqrt (sqrt k)))) 1546596702.917 * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # 1546596702.917 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546596702.917 * * [misc]simplify: iters left: 5 (6 enodes) 1546596702.918 * * [misc]simplify: iters left: 4 (8 enodes) 1546596702.919 * * [misc]simplify: iters left: 3 (11 enodes) 1546596702.921 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546596702.921 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.921 * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # 1546596702.921 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546596702.921 * * [misc]simplify: iters left: 4 (5 enodes) 1546596702.924 * * [misc]simplify: iters left: 3 (7 enodes) 1546596702.926 * * [misc]simplify: iters left: 2 (10 enodes) 1546596702.927 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546596702.927 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.927 * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # 1546596702.927 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596702.927 * * [misc]simplify: iters left: 5 (9 enodes) 1546596702.929 * * [misc]simplify: iters left: 4 (15 enodes) 1546596702.931 * * [misc]simplify: iters left: 3 (21 enodes) 1546596702.934 * * [misc]simplify: iters left: 2 (22 enodes) 1546596702.936 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596702.936 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.936 * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # 1546596702.936 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546596702.937 * * [misc]simplify: iters left: 5 (9 enodes) 1546596702.938 * * [misc]simplify: iters left: 4 (15 enodes) 1546596702.940 * * [misc]simplify: iters left: 3 (21 enodes) 1546596702.943 * * [misc]simplify: iters left: 2 (22 enodes) 1546596702.946 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546596702.946 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.946 * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # 1546596702.946 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546596702.946 * * [misc]simplify: iters left: 5 (7 enodes) 1546596702.947 * * [misc]simplify: iters left: 4 (9 enodes) 1546596702.948 * * [misc]simplify: iters left: 3 (12 enodes) 1546596702.950 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596702.950 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596702.950 * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # 1546596702.950 * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # 1546596702.951 * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # 1546596702.951 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1546596702.951 * * [misc]simplify: iters left: 6 (15 enodes) 1546596702.954 * * [misc]simplify: iters left: 5 (28 enodes) 1546596702.958 * * [misc]simplify: iters left: 4 (56 enodes) 1546596702.969 * * [misc]simplify: iters left: 3 (146 enodes) 1546596703.021 * * [misc]simplify: iters left: 2 (495 enodes) 1546596703.575 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1546596703.575 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596703.575 * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # 1546596703.575 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1546596703.575 * * [misc]simplify: iters left: 6 (15 enodes) 1546596703.580 * * [misc]simplify: iters left: 5 (28 enodes) 1546596703.590 * * [misc]simplify: iters left: 4 (56 enodes) 1546596703.611 * * [misc]simplify: iters left: 3 (146 enodes) 1546596703.688 * * [misc]simplify: iters left: 2 (495 enodes) 1546596704.164 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1546596704.164 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.164 * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # 1546596704.164 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k)))) 1546596704.164 * * [misc]simplify: iters left: 6 (15 enodes) 1546596704.166 * * [misc]simplify: iters left: 5 (25 enodes) 1546596704.171 * * [misc]simplify: iters left: 4 (44 enodes) 1546596704.178 * * [misc]simplify: iters left: 3 (75 enodes) 1546596704.203 * * [misc]simplify: iters left: 2 (222 enodes) 1546596704.341 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1546596704.341 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.341 * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # 1546596704.341 * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # 1546596704.341 * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # 1546596704.341 * [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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596704.341 * * [misc]simplify: iters left: 6 (17 enodes) 1546596704.345 * * [misc]simplify: iters left: 5 (32 enodes) 1546596704.356 * * [misc]simplify: iters left: 4 (70 enodes) 1546596704.383 * * [misc]simplify: iters left: 3 (122 enodes) 1546596704.426 * * [misc]simplify: iters left: 2 (175 enodes) 1546596704.485 * * [misc]simplify: iters left: 1 (192 enodes) 1546596704.508 * [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))) (* (sqrt k) (sqrt (sqrt k))))) 1546596704.508 * [misc]simplify: Simplified (2 1 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))) (* (sqrt k) (sqrt (sqrt k)))))) (sqrt (sqrt k)))) 1546596704.508 * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # 1546596704.508 * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # 1546596704.508 * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # 1546596704.508 * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # 1546596704.509 * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # 1546596704.509 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596704.509 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.511 * * [misc]simplify: iters left: 5 (20 enodes) 1546596704.514 * * [misc]simplify: iters left: 4 (26 enodes) 1546596704.519 * * [misc]simplify: iters left: 3 (28 enodes) 1546596704.526 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1546596704.526 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.526 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596704.526 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.530 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.536 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.542 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.549 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596704.549 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.549 * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # 1546596704.549 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596704.550 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.554 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.559 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.566 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.572 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1546596704.573 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.573 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596704.573 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.577 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.582 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.589 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.596 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596704.596 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.596 * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # 1546596704.596 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1546596704.596 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.600 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.605 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.611 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.617 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1546596704.617 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.617 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.617 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.622 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.628 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.634 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.641 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.641 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.641 * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # 1546596704.641 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1546596704.641 * * [misc]simplify: iters left: 6 (10 enodes) 1546596704.645 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.649 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.655 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.660 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596704.660 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.660 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.660 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.662 * * [misc]simplify: iters left: 5 (18 enodes) 1546596704.665 * * [misc]simplify: iters left: 4 (24 enodes) 1546596704.668 * * [misc]simplify: iters left: 3 (25 enodes) 1546596704.673 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.673 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.673 * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # 1546596704.674 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1546596704.674 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.682 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.686 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.693 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.699 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1546596704.699 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.699 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.700 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.704 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.709 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.716 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.723 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.723 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.723 * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # 1546596704.723 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546596704.723 * * [misc]simplify: iters left: 6 (9 enodes) 1546596704.726 * * [misc]simplify: iters left: 5 (16 enodes) 1546596704.731 * * [misc]simplify: iters left: 4 (24 enodes) 1546596704.737 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.743 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546596704.743 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.743 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.743 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.747 * * [misc]simplify: iters left: 5 (18 enodes) 1546596704.752 * * [misc]simplify: iters left: 4 (24 enodes) 1546596704.759 * * [misc]simplify: iters left: 3 (25 enodes) 1546596704.767 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.767 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.767 * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # 1546596704.768 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596704.768 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.772 * * [misc]simplify: iters left: 5 (20 enodes) 1546596704.778 * * [misc]simplify: iters left: 4 (26 enodes) 1546596704.785 * * [misc]simplify: iters left: 3 (28 enodes) 1546596704.792 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1546596704.792 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.793 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596704.793 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.797 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.802 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.809 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.816 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596704.816 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.817 * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # 1546596704.817 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596704.817 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.821 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.826 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.833 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.840 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1546596704.840 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.840 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596704.840 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.844 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.850 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.857 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.864 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596704.864 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.864 * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # 1546596704.865 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1546596704.865 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.869 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.873 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.879 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.882 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1546596704.883 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.883 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.883 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.885 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.888 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.891 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.894 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.895 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.895 * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # 1546596704.895 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1546596704.895 * * [misc]simplify: iters left: 6 (10 enodes) 1546596704.897 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.899 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.903 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.906 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596704.906 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.906 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.906 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.908 * * [misc]simplify: iters left: 5 (18 enodes) 1546596704.911 * * [misc]simplify: iters left: 4 (24 enodes) 1546596704.914 * * [misc]simplify: iters left: 3 (25 enodes) 1546596704.919 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.919 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.919 * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # 1546596704.919 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1546596704.919 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.923 * * [misc]simplify: iters left: 5 (17 enodes) 1546596704.928 * * [misc]simplify: iters left: 4 (23 enodes) 1546596704.935 * * [misc]simplify: iters left: 3 (24 enodes) 1546596704.941 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1546596704.941 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.941 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.941 * * [misc]simplify: iters left: 6 (13 enodes) 1546596704.945 * * [misc]simplify: iters left: 5 (19 enodes) 1546596704.951 * * [misc]simplify: iters left: 4 (25 enodes) 1546596704.958 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.965 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596704.966 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596704.966 * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # 1546596704.966 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546596704.966 * * [misc]simplify: iters left: 6 (9 enodes) 1546596704.969 * * [misc]simplify: iters left: 5 (16 enodes) 1546596704.974 * * [misc]simplify: iters left: 4 (24 enodes) 1546596704.980 * * [misc]simplify: iters left: 3 (26 enodes) 1546596704.986 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546596704.986 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596704.986 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546596704.986 * * [misc]simplify: iters left: 6 (12 enodes) 1546596704.990 * * [misc]simplify: iters left: 5 (18 enodes) 1546596704.996 * * [misc]simplify: iters left: 4 (24 enodes) 1546596705.002 * * [misc]simplify: iters left: 3 (25 enodes) 1546596705.009 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546596705.009 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.009 * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # 1546596705.009 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596705.009 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.013 * * [misc]simplify: iters left: 5 (16 enodes) 1546596705.018 * * [misc]simplify: iters left: 4 (19 enodes) 1546596705.023 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1546596705.024 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.024 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596705.024 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.026 * * [misc]simplify: iters left: 5 (15 enodes) 1546596705.028 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.030 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596705.031 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.031 * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # 1546596705.031 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596705.031 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.034 * * [misc]simplify: iters left: 5 (15 enodes) 1546596705.036 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.038 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1546596705.039 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.039 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596705.039 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.041 * * [misc]simplify: iters left: 5 (15 enodes) 1546596705.043 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.045 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596705.045 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.045 * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # 1546596705.046 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.046 * * [misc]simplify: iters left: 6 (11 enodes) 1546596705.047 * * [misc]simplify: iters left: 5 (13 enodes) 1546596705.049 * * [misc]simplify: iters left: 4 (16 enodes) 1546596705.052 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.052 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.052 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.052 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.056 * * [misc]simplify: iters left: 5 (15 enodes) 1546596705.060 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.066 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.066 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.066 * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # 1546596705.066 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) 1546596705.066 * * [misc]simplify: iters left: 6 (10 enodes) 1546596705.069 * * [misc]simplify: iters left: 5 (14 enodes) 1546596705.071 * * [misc]simplify: iters left: 4 (17 enodes) 1546596705.073 * * [misc]simplify: iters left: 3 (19 enodes) 1546596705.075 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596705.075 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.076 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.076 * * [misc]simplify: iters left: 6 (11 enodes) 1546596705.077 * * [misc]simplify: iters left: 5 (14 enodes) 1546596705.079 * * [misc]simplify: iters left: 4 (17 enodes) 1546596705.082 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.082 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.082 * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # 1546596705.082 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.082 * * [misc]simplify: iters left: 6 (11 enodes) 1546596705.084 * * [misc]simplify: iters left: 5 (13 enodes) 1546596705.086 * * [misc]simplify: iters left: 4 (16 enodes) 1546596705.089 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.089 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.089 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.089 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.091 * * [misc]simplify: iters left: 5 (15 enodes) 1546596705.093 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.096 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.096 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.096 * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # 1546596705.096 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546596705.096 * * [misc]simplify: iters left: 6 (9 enodes) 1546596705.097 * * [misc]simplify: iters left: 5 (13 enodes) 1546596705.100 * * [misc]simplify: iters left: 4 (18 enodes) 1546596705.102 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596705.102 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.102 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.102 * * [misc]simplify: iters left: 6 (11 enodes) 1546596705.104 * * [misc]simplify: iters left: 5 (14 enodes) 1546596705.108 * * [misc]simplify: iters left: 4 (17 enodes) 1546596705.113 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.113 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.113 * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # 1546596705.114 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596705.114 * * [misc]simplify: iters left: 6 (17 enodes) 1546596705.119 * * [misc]simplify: iters left: 5 (29 enodes) 1546596705.128 * * [misc]simplify: iters left: 4 (47 enodes) 1546596705.143 * * [misc]simplify: iters left: 3 (51 enodes) 1546596705.156 * * [misc]simplify: iters left: 2 (54 enodes) 1546596705.163 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1546596705.163 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.163 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1546596705.163 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.165 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.168 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.173 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.176 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1546596705.177 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.177 * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # 1546596705.177 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596705.177 * * [misc]simplify: iters left: 6 (17 enodes) 1546596705.180 * * [misc]simplify: iters left: 5 (26 enodes) 1546596705.184 * * [misc]simplify: iters left: 4 (37 enodes) 1546596705.194 * * [misc]simplify: iters left: 3 (40 enodes) 1546596705.205 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596705.205 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.206 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1546596705.206 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.210 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.216 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.220 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.224 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1546596705.224 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.224 * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # 1546596705.224 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1546596705.225 * * [misc]simplify: iters left: 6 (16 enodes) 1546596705.227 * * [misc]simplify: iters left: 5 (24 enodes) 1546596705.231 * * [misc]simplify: iters left: 4 (35 enodes) 1546596705.235 * * [misc]simplify: iters left: 3 (37 enodes) 1546596705.247 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1546596705.247 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.247 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.247 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.252 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.258 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.263 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.267 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.267 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.267 * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # 1546596705.267 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) 1546596705.267 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.270 * * [misc]simplify: iters left: 5 (25 enodes) 1546596705.274 * * [misc]simplify: iters left: 4 (36 enodes) 1546596705.279 * * [misc]simplify: iters left: 3 (41 enodes) 1546596705.284 * * [misc]simplify: iters left: 2 (56 enodes) 1546596705.294 * * [misc]simplify: iters left: 1 (57 enodes) 1546596705.303 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596705.303 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.304 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.304 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.308 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.313 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.317 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.321 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.321 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.321 * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # 1546596705.321 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1546596705.321 * * [misc]simplify: iters left: 6 (16 enodes) 1546596705.324 * * [misc]simplify: iters left: 5 (24 enodes) 1546596705.328 * * [misc]simplify: iters left: 4 (35 enodes) 1546596705.333 * * [misc]simplify: iters left: 3 (37 enodes) 1546596705.339 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1546596705.339 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.339 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.339 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.343 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.350 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.358 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.366 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.366 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.366 * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # 1546596705.367 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546596705.367 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.372 * * [misc]simplify: iters left: 5 (24 enodes) 1546596705.379 * * [misc]simplify: iters left: 4 (39 enodes) 1546596705.390 * * [misc]simplify: iters left: 3 (54 enodes) 1546596705.404 * * [misc]simplify: iters left: 2 (80 enodes) 1546596705.425 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546596705.425 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 1546596705.425 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.425 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.430 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.436 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.443 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.451 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.451 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 1546596705.451 * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # 1546596705.452 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596705.452 * * [misc]simplify: iters left: 6 (16 enodes) 1546596705.457 * * [misc]simplify: iters left: 5 (24 enodes) 1546596705.464 * * [misc]simplify: iters left: 4 (33 enodes) 1546596705.473 * * [misc]simplify: iters left: 3 (34 enodes) 1546596705.482 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596705.482 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.483 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1546596705.483 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.488 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.495 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.503 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.511 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1546596705.512 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.512 * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # 1546596705.512 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596705.512 * * [misc]simplify: iters left: 6 (16 enodes) 1546596705.516 * * [misc]simplify: iters left: 5 (23 enodes) 1546596705.520 * * [misc]simplify: iters left: 4 (32 enodes) 1546596705.525 * * [misc]simplify: iters left: 3 (34 enodes) 1546596705.530 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1546596705.530 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.530 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1546596705.530 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.533 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.536 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.540 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.544 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1546596705.544 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.544 * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # 1546596705.544 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.544 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.546 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.552 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.560 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.568 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.568 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.569 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.569 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.574 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.580 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.584 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.588 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.588 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.588 * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # 1546596705.588 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) 1546596705.588 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.591 * * [misc]simplify: iters left: 5 (22 enodes) 1546596705.594 * * [misc]simplify: iters left: 4 (31 enodes) 1546596705.600 * * [misc]simplify: iters left: 3 (35 enodes) 1546596705.604 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546596705.604 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.604 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.604 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.606 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.609 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.613 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.617 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.617 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.617 * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # 1546596705.617 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.617 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.620 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.623 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.627 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.632 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.632 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.632 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.632 * * [misc]simplify: iters left: 6 (15 enodes) 1546596705.636 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.639 * * [misc]simplify: iters left: 4 (30 enodes) 1546596705.643 * * [misc]simplify: iters left: 3 (31 enodes) 1546596705.647 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1546596705.647 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.647 * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # 1546596705.647 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546596705.648 * * [misc]simplify: iters left: 6 (13 enodes) 1546596705.650 * * [misc]simplify: iters left: 5 (21 enodes) 1546596705.653 * * [misc]simplify: iters left: 4 (32 enodes) 1546596705.657 * * [misc]simplify: iters left: 3 (33 enodes) 1546596705.660 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546596705.660 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.661 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.661 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.663 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.668 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.676 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.684 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546596705.684 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.684 * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # 1546596705.685 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1546596705.685 * * [misc]simplify: iters left: 6 (7 enodes) 1546596705.688 * * [misc]simplify: iters left: 5 (11 enodes) 1546596705.689 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1546596705.689 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.690 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596705.690 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.692 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.695 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.699 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.703 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1546596705.703 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.703 * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # 1546596705.703 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1546596705.703 * * [misc]simplify: iters left: 6 (7 enodes) 1546596705.704 * * [misc]simplify: iters left: 5 (10 enodes) 1546596705.706 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1546596705.706 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.706 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596705.706 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.708 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.711 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.715 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.723 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1546596705.723 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.723 * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # 1546596705.723 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1546596705.723 * * [misc]simplify: iters left: 5 (6 enodes) 1546596705.725 * * [misc]simplify: iters left: 4 (8 enodes) 1546596705.728 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1546596705.728 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.728 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.728 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.732 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.738 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.743 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.746 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.747 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.747 * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # 1546596705.747 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1546596705.747 * * [misc]simplify: iters left: 3 (3 enodes) 1546596705.748 * * [misc]simplify: iters left: 2 (5 enodes) 1546596705.748 * [exit]simplify: Simplified to 1 1546596705.748 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.749 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.749 * * [misc]simplify: iters left: 6 (13 enodes) 1546596705.751 * * [misc]simplify: iters left: 5 (19 enodes) 1546596705.753 * * [misc]simplify: iters left: 4 (28 enodes) 1546596705.757 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.761 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.761 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.761 * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # 1546596705.761 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1546596705.761 * * [misc]simplify: iters left: 5 (6 enodes) 1546596705.762 * * [misc]simplify: iters left: 4 (8 enodes) 1546596705.763 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1546596705.763 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.763 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.763 * * [misc]simplify: iters left: 6 (14 enodes) 1546596705.766 * * [misc]simplify: iters left: 5 (20 enodes) 1546596705.770 * * [misc]simplify: iters left: 4 (29 enodes) 1546596705.778 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.787 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1546596705.787 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1546596705.787 * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # 1546596705.787 * [enter]simplify: Simplifying (/ 1 1) 1546596705.787 * * [misc]simplify: iters left: 2 (2 enodes) 1546596705.788 * * [misc]simplify: iters left: 1 (4 enodes) 1546596705.789 * [exit]simplify: Simplified to 1 1546596705.789 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.789 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.789 * * [misc]simplify: iters left: 6 (13 enodes) 1546596705.793 * * [misc]simplify: iters left: 5 (19 enodes) 1546596705.799 * * [misc]simplify: iters left: 4 (28 enodes) 1546596705.803 * * [misc]simplify: iters left: 3 (30 enodes) 1546596705.807 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546596705.807 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.807 * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # 1546596705.807 * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # 1546596705.807 * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # 1546596705.807 * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # 1546596705.808 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1546596705.808 * * [misc]simplify: iters left: 3 (4 enodes) 1546596705.808 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1546596705.808 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.808 * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # 1546596705.808 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1546596705.809 * * [misc]simplify: iters left: 3 (4 enodes) 1546596705.809 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1546596705.809 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.809 * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # 1546596705.809 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1546596705.809 * * [misc]simplify: iters left: 3 (4 enodes) 1546596705.810 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1546596705.810 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.810 * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # 1546596705.810 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596705.810 * * [misc]simplify: iters left: 2 (3 enodes) 1546596705.811 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596705.811 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596705.811 * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # 1546596705.811 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1546596705.811 * * [misc]simplify: iters left: 3 (4 enodes) 1546596705.812 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1546596705.812 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1546596705.812 * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # 1546596705.812 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596705.812 * * [misc]simplify: iters left: 2 (3 enodes) 1546596705.812 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596705.812 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596705.812 * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # 1546596705.813 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596705.813 * * [misc]simplify: iters left: 5 (7 enodes) 1546596705.814 * * [misc]simplify: iters left: 4 (12 enodes) 1546596705.816 * * [misc]simplify: iters left: 3 (18 enodes) 1546596705.818 * * [misc]simplify: iters left: 2 (20 enodes) 1546596705.881 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596705.881 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1546596705.881 * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # 1546596705.882 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596705.882 * * [misc]simplify: iters left: 5 (7 enodes) 1546596705.884 * * [misc]simplify: iters left: 4 (12 enodes) 1546596705.888 * * [misc]simplify: iters left: 3 (18 enodes) 1546596705.893 * * [misc]simplify: iters left: 2 (20 enodes) 1546596705.898 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596705.898 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1546596705.898 * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # 1546596705.898 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546596705.898 * * [misc]simplify: iters left: 5 (7 enodes) 1546596705.900 * * [misc]simplify: iters left: 4 (9 enodes) 1546596705.903 * * [misc]simplify: iters left: 3 (12 enodes) 1546596705.906 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546596705.907 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1546596705.907 * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # 1546596705.907 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546596705.907 * * [misc]simplify: iters left: 6 (12 enodes) 1546596705.911 * * [misc]simplify: iters left: 5 (18 enodes) 1546596705.916 * * [misc]simplify: iters left: 4 (27 enodes) 1546596705.924 * * [misc]simplify: iters left: 3 (29 enodes) 1546596705.931 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546596705.931 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1546596705.932 * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # 1546596705.932 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546596705.932 * * [misc]simplify: iters left: 6 (11 enodes) 1546596705.936 * * [misc]simplify: iters left: 5 (17 enodes) 1546596705.941 * * [misc]simplify: iters left: 4 (26 enodes) 1546596705.948 * * [misc]simplify: iters left: 3 (27 enodes) 1546596705.955 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546596705.955 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1546596705.955 * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # 1546596705.955 * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # 1546596705.956 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546596705.956 * * [misc]simplify: iters left: 5 (7 enodes) 1546596705.958 * * [misc]simplify: iters left: 4 (12 enodes) 1546596705.962 * * [misc]simplify: iters left: 3 (18 enodes) 1546596705.966 * * [misc]simplify: iters left: 2 (20 enodes) 1546596705.971 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546596705.971 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))) 1546596705.971 * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # 1546596705.972 * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # 1546596705.972 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546596705.972 * * [misc]simplify: iters left: 5 (5 enodes) 1546596705.974 * * [misc]simplify: iters left: 4 (6 enodes) 1546596705.976 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1546596705.976 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (fabs (cbrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1546596705.976 * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # 1546596705.976 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1546596705.976 * * [misc]simplify: iters left: 3 (4 enodes) 1546596705.977 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1546596705.977 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1546596705.977 * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # 1546596705.977 * [enter]simplify: Simplifying (sqrt 1) 1546596705.978 * * [misc]simplify: iters left: 1 (2 enodes) 1546596705.979 * [exit]simplify: Simplified to 1 1546596705.979 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* 1 (sqrt (sqrt k))))) 1546596705.979 * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # 1546596705.979 * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # 1546596705.980 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546596705.980 * * [misc]simplify: iters left: 2 (3 enodes) 1546596705.982 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546596705.982 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (fabs (sqrt (sqrt k))))) 1546596705.982 * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # 1546596705.982 * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # 1546596705.982 * [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))))) 1546596705.983 * * [misc]simplify: iters left: 6 (37 enodes) 1546596705.999 * * [misc]simplify: iters left: 5 (108 enodes) 1546596706.045 * * [misc]simplify: iters left: 4 (368 enodes) 1546596706.302 * [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)))))) 1546596706.302 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (sqrt (sqrt k)))) 1546596706.302 * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # 1546596706.303 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546596706.303 * * [misc]simplify: iters left: 6 (15 enodes) 1546596706.314 * * [misc]simplify: iters left: 5 (33 enodes) 1546596706.325 * * [misc]simplify: iters left: 4 (64 enodes) 1546596706.338 * * [misc]simplify: iters left: 3 (179 enodes) 1546596706.404 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546596706.404 * [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 (sqrt k))) (sqrt (sqrt k)))) 1546596706.404 * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # 1546596706.404 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546596706.404 * * [misc]simplify: iters left: 6 (15 enodes) 1546596706.407 * * [misc]simplify: iters left: 5 (30 enodes) 1546596706.414 * * [misc]simplify: iters left: 4 (65 enodes) 1546596706.441 * * [misc]simplify: iters left: 3 (208 enodes) 1546596706.533 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546596706.534 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596706.534 * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # 1546596706.534 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596706.534 * * [misc]simplify: iters left: 4 (5 enodes) 1546596706.535 * * [misc]simplify: iters left: 3 (9 enodes) 1546596706.536 * * [misc]simplify: iters left: 2 (15 enodes) 1546596706.538 * * [misc]simplify: iters left: 1 (17 enodes) 1546596706.540 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596706.540 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596706.540 * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # 1546596706.540 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596706.540 * * [misc]simplify: iters left: 4 (5 enodes) 1546596706.541 * * [misc]simplify: iters left: 3 (9 enodes) 1546596706.542 * * [misc]simplify: iters left: 2 (15 enodes) 1546596706.545 * * [misc]simplify: iters left: 1 (17 enodes) 1546596706.546 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596706.547 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596706.547 * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # 1546596706.547 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546596706.547 * * [misc]simplify: iters left: 4 (5 enodes) 1546596706.548 * * [misc]simplify: iters left: 3 (9 enodes) 1546596706.549 * * [misc]simplify: iters left: 2 (15 enodes) 1546596706.551 * * [misc]simplify: iters left: 1 (17 enodes) 1546596706.553 * [exit]simplify: Simplified to (* (* PI n) 2) 1546596706.553 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546596706.553 * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # 1546596706.553 * [enter]simplify: Simplifying (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1546596706.554 * * [misc]simplify: iters left: 6 (45 enodes) 1546596706.563 * * [misc]simplify: iters left: 5 (123 enodes) 1546596706.600 * * [misc]simplify: iters left: 4 (362 enodes) 1546596706.823 * [exit]simplify: Simplified to (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) 1546596706.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) (sqrt (sqrt k)))) 1546596706.823 * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # 1546596706.824 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1546596706.824 * * [misc]simplify: iters left: 6 (19 enodes) 1546596706.828 * * [misc]simplify: iters left: 5 (38 enodes) 1546596706.834 * * [misc]simplify: iters left: 4 (69 enodes) 1546596706.848 * * [misc]simplify: iters left: 3 (184 enodes) 1546596706.918 * [exit]simplify: Simplified to (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) 1546596706.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1546596706.918 * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # 1546596706.919 * [enter]simplify: Simplifying (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1546596706.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt (sqrt k)))) 1546596706.919 * * * * [misc]progress: [ 119 / 121 ] simplifiying candidate # 1546596706.919 * [enter]simplify: Simplifying (pow k 1/4) 1546596706.919 * * [misc]simplify: iters left: 1 (3 enodes) 1546596706.919 * [exit]simplify: Simplified to (pow k 1/4) 1546596706.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow k 1/4))) 1546596706.920 * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # 1546596706.920 * [enter]simplify: Simplifying (pow (/ 1 k) -1/4) 1546596706.920 * * [misc]simplify: iters left: 3 (5 enodes) 1546596706.920 * * [misc]simplify: iters left: 2 (7 enodes) 1546596706.921 * [exit]simplify: Simplified to (pow (/ 1 k) -1/4) 1546596706.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (/ 1 k) -1/4))) 1546596706.921 * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # 1546596706.922 * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1546596706.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) +nan.0)) 1546596706.922 * * * [misc]progress: adding candidates to table 1546596708.657 * [misc]progress: [Phase 3 of 3] Extracting. 1546596708.658 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1546596708.659 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546596708.659 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1546596708.729 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1546596708.803 * * * [misc]regime: Found split indices: #