1545039141.029 * [misc]progress: [Phase 1 of 3] Setting up. 1545039141.029 * * * [misc]progress: [1/2] Preparing points 1545039141.030 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545039141.122 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.122 * * * * [misc]points: Sampling 210 additional inputs, on iter 1 have 46 / 256 1545039141.202 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.202 * * * * [misc]points: Sampling 157 additional inputs, on iter 2 have 99 / 256 1545039141.243 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.243 * * * * [misc]points: Sampling 108 additional inputs, on iter 3 have 148 / 256 1545039141.315 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.315 * * * * [misc]points: Sampling 79 additional inputs, on iter 4 have 177 / 256 1545039141.359 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.359 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1545039141.387 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.387 * * * * [misc]points: Sampling 45 additional inputs, on iter 6 have 211 / 256 1545039141.408 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.408 * * * * [misc]points: Sampling 36 additional inputs, on iter 7 have 220 / 256 1545039141.428 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.428 * * * * [misc]points: Sampling 30 additional inputs, on iter 8 have 226 / 256 1545039141.445 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.445 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1545039141.459 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.459 * * * * [misc]points: Sampling 18 additional inputs, on iter 10 have 238 / 256 1545039141.470 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.471 * * * * [misc]points: Sampling 16 additional inputs, on iter 11 have 240 / 256 1545039141.482 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.482 * * * * [misc]points: Sampling 12 additional inputs, on iter 12 have 244 / 256 1545039141.491 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.491 * * * * [misc]points: Sampling 9 additional inputs, on iter 13 have 247 / 256 1545039141.498 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.498 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1545039141.504 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.504 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1545039141.927 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.927 * * * * [misc]points: Sampling 6 additional inputs, on iter 16 have 250 / 256 1545039141.934 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.934 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1545039141.944 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.944 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1545039141.949 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.950 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545039141.955 * * * * [misc]points: Filtering points with unrepresentable outputs 1545039141.955 * * * * [exit]points: Sampled 256 points with exact outputs 1545039141.955 * * * [misc]progress: [2/2] Setting up program. 1545039141.963 * [misc]progress: [Phase 2 of 3] Improving. 1545039141.963 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545039141.963 * * [misc]simplify: iters left: 6 (13 enodes) 1545039141.969 * * [misc]simplify: iters left: 5 (28 enodes) 1545039141.974 * * [misc]simplify: iters left: 4 (44 enodes) 1545039141.981 * * [misc]simplify: iters left: 3 (54 enodes) 1545039141.986 * * [misc]simplify: iters left: 2 (57 enodes) 1545039141.992 * * [misc]simplify: iters left: 1 (65 enodes) 1545039142.000 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545039142.008 * * [misc]progress: iteration 1 / 4 1545039142.008 * * * [misc]progress: picking best candidate 1545039142.015 * * * * [misc]pick: Picked # 1545039142.015 * * * [misc]progress: localizing error 1545039142.062 * * * [misc]progress: generating rewritten candidates 1545039142.062 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545039142.071 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545039142.075 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545039142.090 * * * [misc]progress: generating series expansions 1545039142.090 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545039142.090 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545039142.090 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545039142.090 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.091 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.091 * [misc]taylor: Taking taylor expansion of k in k 1545039142.091 * [misc]backup-simplify: Simplify 0 into 0 1545039142.091 * [misc]backup-simplify: Simplify 1 into 1 1545039142.091 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.091 * [misc]backup-simplify: Simplify 2 into 2 1545039142.091 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039142.091 * [misc]taylor: Taking taylor expansion of n in k 1545039142.091 * [misc]backup-simplify: Simplify n into n 1545039142.091 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.091 * [misc]backup-simplify: Simplify PI into PI 1545039142.091 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039142.091 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039142.091 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039142.092 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039142.092 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.092 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.092 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039142.092 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039142.092 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.092 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.092 * [misc]taylor: Taking taylor expansion of k in n 1545039142.092 * [misc]backup-simplify: Simplify k into k 1545039142.092 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.092 * [misc]backup-simplify: Simplify 2 into 2 1545039142.092 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.092 * [misc]taylor: Taking taylor expansion of n in n 1545039142.092 * [misc]backup-simplify: Simplify 0 into 0 1545039142.092 * [misc]backup-simplify: Simplify 1 into 1 1545039142.092 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.092 * [misc]backup-simplify: Simplify PI into PI 1545039142.093 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039142.093 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039142.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039142.094 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039142.094 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.094 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039142.094 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039142.094 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039142.094 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.095 * [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)))) 1545039142.095 * [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))))) 1545039142.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.095 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.095 * [misc]taylor: Taking taylor expansion of k in n 1545039142.095 * [misc]backup-simplify: Simplify k into k 1545039142.095 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039142.095 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.096 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.096 * [misc]backup-simplify: Simplify 2 into 2 1545039142.096 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.096 * [misc]taylor: Taking taylor expansion of n in n 1545039142.096 * [misc]backup-simplify: Simplify 0 into 0 1545039142.096 * [misc]backup-simplify: Simplify 1 into 1 1545039142.096 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.096 * [misc]backup-simplify: Simplify PI into PI 1545039142.096 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039142.096 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039142.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039142.097 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039142.097 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.097 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039142.097 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039142.097 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039142.098 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.098 * [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)))) 1545039142.098 * [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))))) 1545039142.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545039142.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545039142.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039142.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.098 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039142.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.099 * [misc]taylor: Taking taylor expansion of k in k 1545039142.099 * [misc]backup-simplify: Simplify 0 into 0 1545039142.099 * [misc]backup-simplify: Simplify 1 into 1 1545039142.099 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545039142.099 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.099 * [misc]taylor: Taking taylor expansion of n in k 1545039142.099 * [misc]backup-simplify: Simplify n into n 1545039142.099 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.099 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039142.099 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039142.099 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.099 * [misc]backup-simplify: Simplify 2 into 2 1545039142.099 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.099 * [misc]backup-simplify: Simplify PI into PI 1545039142.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.099 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.099 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039142.099 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.100 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.100 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.100 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545039142.101 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545039142.101 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545039142.102 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039142.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039142.104 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.104 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545039142.104 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.104 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.105 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.105 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545039142.106 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.106 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.106 * [misc]backup-simplify: Simplify 0 into 0 1545039142.106 * [misc]backup-simplify: Simplify 0 into 0 1545039142.107 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039142.107 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039142.109 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.109 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039142.109 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.109 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545039142.110 * [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))))))) 1545039142.111 * [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))))))) 1545039142.112 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.113 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545039142.116 * [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 1545039142.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545039142.116 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.117 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039142.119 * [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 1545039142.119 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.119 * [misc]backup-simplify: Simplify 0 into 0 1545039142.119 * [misc]backup-simplify: Simplify 0 into 0 1545039142.119 * [misc]backup-simplify: Simplify 0 into 0 1545039142.120 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039142.120 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.123 * [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 1545039142.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039142.124 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039142.126 * [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))))) 1545039142.127 * [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))))) 1545039142.130 * [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))))) 1545039142.130 * [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)))) 1545039142.130 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545039142.130 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039142.130 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039142.130 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of k in k 1545039142.131 * [misc]backup-simplify: Simplify 0 into 0 1545039142.131 * [misc]backup-simplify: Simplify 1 into 1 1545039142.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.131 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.131 * [misc]backup-simplify: Simplify 2 into 2 1545039142.131 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039142.131 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.131 * [misc]backup-simplify: Simplify PI into PI 1545039142.131 * [misc]taylor: Taking taylor expansion of n in k 1545039142.131 * [misc]backup-simplify: Simplify n into n 1545039142.131 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039142.131 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039142.131 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039142.131 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.131 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.131 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.131 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039142.132 * [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)))) 1545039142.132 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of k in n 1545039142.132 * [misc]backup-simplify: Simplify k into k 1545039142.132 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.132 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.132 * [misc]backup-simplify: Simplify 2 into 2 1545039142.132 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.132 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.132 * [misc]backup-simplify: Simplify PI into PI 1545039142.132 * [misc]taylor: Taking taylor expansion of n in n 1545039142.132 * [misc]backup-simplify: Simplify 0 into 0 1545039142.132 * [misc]backup-simplify: Simplify 1 into 1 1545039142.132 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.133 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.133 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.133 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.133 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039142.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039142.134 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.134 * [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))) 1545039142.134 * [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)))) 1545039142.134 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039142.134 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039142.134 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039142.134 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039142.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.135 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.135 * [misc]taylor: Taking taylor expansion of k in n 1545039142.135 * [misc]backup-simplify: Simplify k into k 1545039142.135 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.135 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039142.135 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.135 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.135 * [misc]backup-simplify: Simplify 2 into 2 1545039142.135 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.135 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.135 * [misc]backup-simplify: Simplify PI into PI 1545039142.135 * [misc]taylor: Taking taylor expansion of n in n 1545039142.135 * [misc]backup-simplify: Simplify 0 into 0 1545039142.135 * [misc]backup-simplify: Simplify 1 into 1 1545039142.135 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.135 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.135 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.135 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.135 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039142.136 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039142.136 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.136 * [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))) 1545039142.137 * [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)))) 1545039142.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.137 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.137 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of k in k 1545039142.137 * [misc]backup-simplify: Simplify 0 into 0 1545039142.137 * [misc]backup-simplify: Simplify 1 into 1 1545039142.137 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.137 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039142.137 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.137 * [misc]backup-simplify: Simplify 2 into 2 1545039142.137 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.137 * [misc]backup-simplify: Simplify PI into PI 1545039142.138 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.138 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.138 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.138 * [misc]taylor: Taking taylor expansion of n in k 1545039142.138 * [misc]backup-simplify: Simplify n into n 1545039142.138 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.138 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.138 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.138 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.138 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039142.139 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545039142.139 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545039142.140 * [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)))) 1545039142.140 * [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)))) 1545039142.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039142.143 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.143 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.143 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039142.143 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.144 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545039142.145 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.145 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.145 * [misc]backup-simplify: Simplify 0 into 0 1545039142.145 * [misc]backup-simplify: Simplify 0 into 0 1545039142.145 * [misc]backup-simplify: Simplify 0 into 0 1545039142.146 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.151 * [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 1545039142.151 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.152 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039142.152 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.152 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.154 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545039142.156 * [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 1545039142.156 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.156 * [misc]backup-simplify: Simplify 0 into 0 1545039142.156 * [misc]backup-simplify: Simplify 0 into 0 1545039142.156 * [misc]backup-simplify: Simplify 0 into 0 1545039142.161 * [misc]backup-simplify: Simplify 0 into 0 1545039142.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.173 * [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 1545039142.173 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039142.174 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.174 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.175 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.176 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545039142.180 * [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 1545039142.180 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.180 * [misc]backup-simplify: Simplify 0 into 0 1545039142.180 * [misc]backup-simplify: Simplify 0 into 0 1545039142.181 * [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))))) 1545039142.181 * [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)) 1545039142.181 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545039142.181 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039142.181 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039142.181 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039142.181 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039142.181 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.182 * [misc]taylor: Taking taylor expansion of k in k 1545039142.182 * [misc]backup-simplify: Simplify 0 into 0 1545039142.182 * [misc]backup-simplify: Simplify 1 into 1 1545039142.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.182 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039142.182 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039142.182 * [misc]taylor: Taking taylor expansion of -2 in k 1545039142.182 * [misc]backup-simplify: Simplify -2 into -2 1545039142.182 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039142.182 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.182 * [misc]backup-simplify: Simplify PI into PI 1545039142.182 * [misc]taylor: Taking taylor expansion of n in k 1545039142.182 * [misc]backup-simplify: Simplify n into n 1545039142.182 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039142.183 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039142.183 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039142.183 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.183 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.183 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039142.183 * [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))) 1545039142.183 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of k in n 1545039142.184 * [misc]backup-simplify: Simplify k into k 1545039142.184 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.184 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.184 * [misc]backup-simplify: Simplify -2 into -2 1545039142.184 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.184 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.184 * [misc]backup-simplify: Simplify PI into PI 1545039142.184 * [misc]taylor: Taking taylor expansion of n in n 1545039142.184 * [misc]backup-simplify: Simplify 0 into 0 1545039142.184 * [misc]backup-simplify: Simplify 1 into 1 1545039142.185 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.185 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.185 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.186 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.186 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039142.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.187 * [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))) 1545039142.188 * [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)))) 1545039142.188 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039142.188 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039142.188 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039142.188 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.189 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of k in n 1545039142.189 * [misc]backup-simplify: Simplify k into k 1545039142.189 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.189 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.189 * [misc]backup-simplify: Simplify -2 into -2 1545039142.189 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.189 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.189 * [misc]backup-simplify: Simplify PI into PI 1545039142.189 * [misc]taylor: Taking taylor expansion of n in n 1545039142.189 * [misc]backup-simplify: Simplify 0 into 0 1545039142.189 * [misc]backup-simplify: Simplify 1 into 1 1545039142.189 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.190 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.190 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.190 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.190 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039142.191 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.192 * [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))) 1545039142.192 * [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)))) 1545039142.192 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545039142.192 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545039142.192 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.193 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of k in k 1545039142.193 * [misc]backup-simplify: Simplify 0 into 0 1545039142.193 * [misc]backup-simplify: Simplify 1 into 1 1545039142.193 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.193 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545039142.193 * [misc]taylor: Taking taylor expansion of -2 in k 1545039142.193 * [misc]backup-simplify: Simplify -2 into -2 1545039142.193 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.193 * [misc]backup-simplify: Simplify PI into PI 1545039142.193 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.194 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.194 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.194 * [misc]taylor: Taking taylor expansion of n in k 1545039142.194 * [misc]backup-simplify: Simplify n into n 1545039142.194 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.194 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.194 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.194 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039142.195 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545039142.195 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545039142.196 * [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)))) 1545039142.197 * [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)))) 1545039142.198 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.198 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039142.200 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545039142.200 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039142.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.202 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545039142.203 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.203 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.203 * [misc]backup-simplify: Simplify 0 into 0 1545039142.203 * [misc]backup-simplify: Simplify 0 into 0 1545039142.203 * [misc]backup-simplify: Simplify 0 into 0 1545039142.203 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.204 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.207 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545039142.207 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.207 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039142.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.208 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.208 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545039142.210 * [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 1545039142.210 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.210 * [misc]backup-simplify: Simplify 0 into 0 1545039142.210 * [misc]backup-simplify: Simplify 0 into 0 1545039142.210 * [misc]backup-simplify: Simplify 0 into 0 1545039142.210 * [misc]backup-simplify: Simplify 0 into 0 1545039142.211 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.212 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.216 * [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 1545039142.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.217 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039142.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.218 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545039142.220 * [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 1545039142.220 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.220 * [misc]backup-simplify: Simplify 0 into 0 1545039142.220 * [misc]backup-simplify: Simplify 0 into 0 1545039142.220 * [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))))) 1545039142.220 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545039142.220 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545039142.220 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545039142.220 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.220 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.220 * [misc]backup-simplify: Simplify 2 into 2 1545039142.220 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.221 * [misc]taylor: Taking taylor expansion of n in n 1545039142.221 * [misc]backup-simplify: Simplify 0 into 0 1545039142.221 * [misc]backup-simplify: Simplify 1 into 1 1545039142.221 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.221 * [misc]backup-simplify: Simplify PI into PI 1545039142.221 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.221 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.221 * [misc]backup-simplify: Simplify 2 into 2 1545039142.221 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.221 * [misc]taylor: Taking taylor expansion of n in n 1545039142.221 * [misc]backup-simplify: Simplify 0 into 0 1545039142.221 * [misc]backup-simplify: Simplify 1 into 1 1545039142.221 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.221 * [misc]backup-simplify: Simplify PI into PI 1545039142.221 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039142.221 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039142.221 * [misc]backup-simplify: Simplify 0 into 0 1545039142.222 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039142.222 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039142.222 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.223 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039142.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039142.223 * [misc]backup-simplify: Simplify 0 into 0 1545039142.224 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.225 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545039142.225 * [misc]backup-simplify: Simplify 0 into 0 1545039142.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039142.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545039142.227 * [misc]backup-simplify: Simplify 0 into 0 1545039142.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039142.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545039142.230 * [misc]backup-simplify: Simplify 0 into 0 1545039142.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039142.234 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545039142.234 * [misc]backup-simplify: Simplify 0 into 0 1545039142.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545039142.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545039142.239 * [misc]backup-simplify: Simplify 0 into 0 1545039142.239 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545039142.239 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545039142.239 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545039142.239 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.239 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.239 * [misc]backup-simplify: Simplify 2 into 2 1545039142.239 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.239 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.239 * [misc]backup-simplify: Simplify PI into PI 1545039142.240 * [misc]taylor: Taking taylor expansion of n in n 1545039142.240 * [misc]backup-simplify: Simplify 0 into 0 1545039142.240 * [misc]backup-simplify: Simplify 1 into 1 1545039142.240 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.240 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.240 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.240 * [misc]backup-simplify: Simplify 2 into 2 1545039142.240 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.240 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.240 * [misc]backup-simplify: Simplify PI into PI 1545039142.240 * [misc]taylor: Taking taylor expansion of n in n 1545039142.240 * [misc]backup-simplify: Simplify 0 into 0 1545039142.240 * [misc]backup-simplify: Simplify 1 into 1 1545039142.240 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.240 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.240 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.241 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039142.242 * [misc]backup-simplify: Simplify 0 into 0 1545039142.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.243 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.243 * [misc]backup-simplify: Simplify 0 into 0 1545039142.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.245 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.245 * [misc]backup-simplify: Simplify 0 into 0 1545039142.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039142.247 * [misc]backup-simplify: Simplify 0 into 0 1545039142.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039142.250 * [misc]backup-simplify: Simplify 0 into 0 1545039142.252 * [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 1545039142.253 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039142.253 * [misc]backup-simplify: Simplify 0 into 0 1545039142.254 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545039142.254 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545039142.254 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545039142.254 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.254 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.254 * [misc]backup-simplify: Simplify -2 into -2 1545039142.254 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.254 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.254 * [misc]backup-simplify: Simplify PI into PI 1545039142.254 * [misc]taylor: Taking taylor expansion of n in n 1545039142.254 * [misc]backup-simplify: Simplify 0 into 0 1545039142.254 * [misc]backup-simplify: Simplify 1 into 1 1545039142.254 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.254 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.254 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.254 * [misc]backup-simplify: Simplify -2 into -2 1545039142.254 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.254 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.254 * [misc]backup-simplify: Simplify PI into PI 1545039142.254 * [misc]taylor: Taking taylor expansion of n in n 1545039142.254 * [misc]backup-simplify: Simplify 0 into 0 1545039142.254 * [misc]backup-simplify: Simplify 1 into 1 1545039142.255 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.255 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.255 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.256 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039142.256 * [misc]backup-simplify: Simplify 0 into 0 1545039142.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.258 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.258 * [misc]backup-simplify: Simplify 0 into 0 1545039142.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.259 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.259 * [misc]backup-simplify: Simplify 0 into 0 1545039142.261 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.262 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039142.262 * [misc]backup-simplify: Simplify 0 into 0 1545039142.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.265 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039142.265 * [misc]backup-simplify: Simplify 0 into 0 1545039142.266 * [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 1545039142.268 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039142.268 * [misc]backup-simplify: Simplify 0 into 0 1545039142.268 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545039142.268 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545039142.268 * [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)))) 1545039142.268 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545039142.268 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545039142.268 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039142.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.268 * [misc]taylor: Taking taylor expansion of k in k 1545039142.268 * [misc]backup-simplify: Simplify 0 into 0 1545039142.268 * [misc]backup-simplify: Simplify 1 into 1 1545039142.269 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.269 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.269 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039142.269 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.269 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.269 * [misc]taylor: Taking taylor expansion of k in k 1545039142.269 * [misc]backup-simplify: Simplify 0 into 0 1545039142.269 * [misc]backup-simplify: Simplify 1 into 1 1545039142.269 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.269 * [misc]backup-simplify: Simplify 2 into 2 1545039142.269 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039142.269 * [misc]taylor: Taking taylor expansion of n in k 1545039142.269 * [misc]backup-simplify: Simplify n into n 1545039142.269 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.270 * [misc]backup-simplify: Simplify PI into PI 1545039142.270 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039142.270 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039142.270 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039142.270 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039142.270 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.270 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.270 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039142.271 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039142.271 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of k in n 1545039142.271 * [misc]backup-simplify: Simplify k into k 1545039142.271 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.271 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039142.271 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.271 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039142.271 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.271 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.271 * [misc]taylor: Taking taylor expansion of k in n 1545039142.271 * [misc]backup-simplify: Simplify k into k 1545039142.271 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.271 * [misc]backup-simplify: Simplify 2 into 2 1545039142.271 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.271 * [misc]taylor: Taking taylor expansion of n in n 1545039142.271 * [misc]backup-simplify: Simplify 0 into 0 1545039142.271 * [misc]backup-simplify: Simplify 1 into 1 1545039142.271 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.271 * [misc]backup-simplify: Simplify PI into PI 1545039142.272 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039142.272 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039142.272 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039142.273 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039142.273 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.273 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039142.273 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039142.273 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039142.273 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.274 * [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)))) 1545039142.274 * [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))))) 1545039142.274 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545039142.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039142.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.274 * [misc]taylor: Taking taylor expansion of k in n 1545039142.274 * [misc]backup-simplify: Simplify k into k 1545039142.274 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.274 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039142.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039142.274 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.275 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.275 * [misc]taylor: Taking taylor expansion of k in n 1545039142.275 * [misc]backup-simplify: Simplify k into k 1545039142.275 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.275 * [misc]backup-simplify: Simplify 2 into 2 1545039142.275 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039142.275 * [misc]taylor: Taking taylor expansion of n in n 1545039142.275 * [misc]backup-simplify: Simplify 0 into 0 1545039142.275 * [misc]backup-simplify: Simplify 1 into 1 1545039142.275 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.275 * [misc]backup-simplify: Simplify PI into PI 1545039142.275 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039142.275 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039142.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039142.276 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039142.276 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.276 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039142.276 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039142.276 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039142.277 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.277 * [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)))) 1545039142.277 * [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))))) 1545039142.278 * [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))) 1545039142.278 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.278 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.278 * [misc]taylor: Taking taylor expansion of k in k 1545039142.278 * [misc]backup-simplify: Simplify 0 into 0 1545039142.278 * [misc]backup-simplify: Simplify 1 into 1 1545039142.278 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of n in k 1545039142.278 * [misc]backup-simplify: Simplify n into n 1545039142.278 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.278 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039142.278 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.278 * [misc]backup-simplify: Simplify 2 into 2 1545039142.278 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.278 * [misc]backup-simplify: Simplify PI into PI 1545039142.278 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.279 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.279 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039142.279 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.279 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.279 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.280 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545039142.280 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545039142.280 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039142.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.280 * [misc]taylor: Taking taylor expansion of k in k 1545039142.280 * [misc]backup-simplify: Simplify 0 into 0 1545039142.280 * [misc]backup-simplify: Simplify 1 into 1 1545039142.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.281 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039142.281 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545039142.281 * [misc]backup-simplify: Simplify 0 into 0 1545039142.282 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039142.282 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039142.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545039142.284 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.284 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.285 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.285 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545039142.286 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.286 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545039142.287 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.287 * [misc]backup-simplify: Simplify 0 into 0 1545039142.287 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039142.287 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039142.289 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.289 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.289 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039142.289 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.289 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545039142.291 * [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))))))) 1545039142.292 * [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))))))) 1545039142.292 * [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))))))) 1545039142.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.294 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545039142.297 * [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 1545039142.297 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545039142.297 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.298 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.299 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039142.300 * [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 1545039142.300 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.301 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545039142.301 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545039142.302 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.302 * [misc]backup-simplify: Simplify 0 into 0 1545039142.302 * [misc]backup-simplify: Simplify 0 into 0 1545039142.302 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039142.303 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039142.304 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039142.304 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.307 * [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 1545039142.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.307 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039142.307 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039142.309 * [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))))) 1545039142.312 * [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)))))))) 1545039142.314 * [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)))))))) 1545039142.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039142.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545039142.321 * [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 1545039142.321 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545039142.321 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.322 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039142.322 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545039142.324 * [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 1545039142.325 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.325 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545039142.325 * [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 1545039142.325 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.325 * [misc]backup-simplify: Simplify 0 into 0 1545039142.325 * [misc]backup-simplify: Simplify 0 into 0 1545039142.325 * [misc]backup-simplify: Simplify 0 into 0 1545039142.326 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.326 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039142.328 * [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 1545039142.329 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.335 * [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 1545039142.335 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.335 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545039142.335 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545039142.340 * [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))))))) 1545039142.349 * [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)))))))))))))) 1545039142.355 * [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)))))))))))))) 1545039142.365 * [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)))))))))))))))))))))) 1545039142.365 * [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))))) 1545039142.365 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545039142.365 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039142.365 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039142.365 * [misc]taylor: Taking taylor expansion of k in k 1545039142.365 * [misc]backup-simplify: Simplify 0 into 0 1545039142.365 * [misc]backup-simplify: Simplify 1 into 1 1545039142.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.366 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039142.366 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.366 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of k in k 1545039142.366 * [misc]backup-simplify: Simplify 0 into 0 1545039142.366 * [misc]backup-simplify: Simplify 1 into 1 1545039142.366 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.366 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.366 * [misc]backup-simplify: Simplify 2 into 2 1545039142.366 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039142.366 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.366 * [misc]backup-simplify: Simplify PI into PI 1545039142.366 * [misc]taylor: Taking taylor expansion of n in k 1545039142.366 * [misc]backup-simplify: Simplify n into n 1545039142.366 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039142.367 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039142.367 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039142.367 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.367 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.367 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.367 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039142.367 * [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)))) 1545039142.367 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of k in n 1545039142.367 * [misc]backup-simplify: Simplify k into k 1545039142.367 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039142.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039142.367 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.367 * [misc]taylor: Taking taylor expansion of k in n 1545039142.367 * [misc]backup-simplify: Simplify k into k 1545039142.367 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.368 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039142.368 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.368 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.368 * [misc]backup-simplify: Simplify 2 into 2 1545039142.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.368 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.368 * [misc]backup-simplify: Simplify PI into PI 1545039142.368 * [misc]taylor: Taking taylor expansion of n in n 1545039142.368 * [misc]backup-simplify: Simplify 0 into 0 1545039142.368 * [misc]backup-simplify: Simplify 1 into 1 1545039142.368 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.368 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.368 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.368 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.368 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039142.369 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039142.369 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.369 * [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))) 1545039142.370 * [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)))) 1545039142.370 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of k in n 1545039142.370 * [misc]backup-simplify: Simplify k into k 1545039142.370 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039142.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039142.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of k in n 1545039142.370 * [misc]backup-simplify: Simplify k into k 1545039142.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of 2 in n 1545039142.370 * [misc]backup-simplify: Simplify 2 into 2 1545039142.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.370 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.370 * [misc]backup-simplify: Simplify PI into PI 1545039142.370 * [misc]taylor: Taking taylor expansion of n in n 1545039142.370 * [misc]backup-simplify: Simplify 0 into 0 1545039142.370 * [misc]backup-simplify: Simplify 1 into 1 1545039142.370 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.371 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.371 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.371 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039142.371 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039142.371 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.372 * [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))) 1545039142.372 * [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)))) 1545039142.373 * [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)) 1545039142.373 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of k in k 1545039142.373 * [misc]backup-simplify: Simplify 0 into 0 1545039142.373 * [misc]backup-simplify: Simplify 1 into 1 1545039142.373 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.373 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039142.373 * [misc]taylor: Taking taylor expansion of 2 in k 1545039142.373 * [misc]backup-simplify: Simplify 2 into 2 1545039142.373 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.373 * [misc]backup-simplify: Simplify PI into PI 1545039142.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039142.374 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039142.374 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.374 * [misc]taylor: Taking taylor expansion of n in k 1545039142.374 * [misc]backup-simplify: Simplify n into n 1545039142.374 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.374 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.374 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039142.374 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039142.374 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039142.374 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545039142.375 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545039142.375 * [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)))) 1545039142.375 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039142.375 * [misc]taylor: Taking taylor expansion of k in k 1545039142.375 * [misc]backup-simplify: Simplify 0 into 0 1545039142.375 * [misc]backup-simplify: Simplify 1 into 1 1545039142.375 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.376 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039142.376 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545039142.376 * [misc]backup-simplify: Simplify 0 into 0 1545039142.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039142.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039142.379 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039142.379 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.379 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.380 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.381 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545039142.382 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.382 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545039142.382 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.382 * [misc]backup-simplify: Simplify 0 into 0 1545039142.382 * [misc]backup-simplify: Simplify 0 into 0 1545039142.384 * [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)))))) 1545039142.384 * [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)))))) 1545039142.385 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.389 * [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 1545039142.389 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.389 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039142.389 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.389 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.390 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.390 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545039142.391 * [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 1545039142.392 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545039142.392 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545039142.392 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.392 * [misc]backup-simplify: Simplify 0 into 0 1545039142.393 * [misc]backup-simplify: Simplify 0 into 0 1545039142.393 * [misc]backup-simplify: Simplify 0 into 0 1545039142.393 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039142.394 * [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)))))) 1545039142.394 * [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)))))) 1545039142.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039142.401 * [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 1545039142.401 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039142.401 * [misc]backup-simplify: Simplify (- 0) into 0 1545039142.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039142.402 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545039142.405 * [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 1545039142.405 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545039142.406 * [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 1545039142.406 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.406 * [misc]backup-simplify: Simplify 0 into 0 1545039142.406 * [misc]backup-simplify: Simplify 0 into 0 1545039142.406 * [misc]backup-simplify: Simplify 0 into 0 1545039142.406 * [misc]backup-simplify: Simplify 0 into 0 1545039142.406 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039142.407 * [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)))))) 1545039142.407 * [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)))))) 1545039142.409 * [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)))))))) 1545039142.409 * [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))) 1545039142.409 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545039142.409 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545039142.409 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039142.409 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of k in k 1545039142.410 * [misc]backup-simplify: Simplify 0 into 0 1545039142.410 * [misc]backup-simplify: Simplify 1 into 1 1545039142.410 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.410 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of -2 in k 1545039142.410 * [misc]backup-simplify: Simplify -2 into -2 1545039142.410 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039142.410 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.410 * [misc]backup-simplify: Simplify PI into PI 1545039142.410 * [misc]taylor: Taking taylor expansion of n in k 1545039142.410 * [misc]backup-simplify: Simplify n into n 1545039142.410 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039142.410 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039142.410 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039142.410 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.410 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.410 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039142.410 * [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))) 1545039142.411 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039142.411 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039142.411 * [misc]taylor: Taking taylor expansion of -1 in k 1545039142.411 * [misc]backup-simplify: Simplify -1 into -1 1545039142.411 * [misc]taylor: Taking taylor expansion of k in k 1545039142.411 * [misc]backup-simplify: Simplify 0 into 0 1545039142.411 * [misc]backup-simplify: Simplify 1 into 1 1545039142.411 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039142.411 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.411 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039142.411 * [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)))) 1545039142.411 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.411 * [misc]taylor: Taking taylor expansion of k in n 1545039142.411 * [misc]backup-simplify: Simplify k into k 1545039142.411 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.412 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039142.412 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.412 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.412 * [misc]backup-simplify: Simplify -2 into -2 1545039142.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.412 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.412 * [misc]backup-simplify: Simplify PI into PI 1545039142.412 * [misc]taylor: Taking taylor expansion of n in n 1545039142.412 * [misc]backup-simplify: Simplify 0 into 0 1545039142.412 * [misc]backup-simplify: Simplify 1 into 1 1545039142.412 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.412 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.412 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.412 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.412 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039142.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.413 * [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))) 1545039142.414 * [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)))) 1545039142.414 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of -1 in n 1545039142.414 * [misc]backup-simplify: Simplify -1 into -1 1545039142.414 * [misc]taylor: Taking taylor expansion of k in n 1545039142.414 * [misc]backup-simplify: Simplify k into k 1545039142.414 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039142.414 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039142.414 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039142.414 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039142.414 * [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))) 1545039142.414 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039142.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039142.415 * [misc]taylor: Taking taylor expansion of k in n 1545039142.415 * [misc]backup-simplify: Simplify k into k 1545039142.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039142.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039142.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.415 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039142.415 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039142.415 * [misc]taylor: Taking taylor expansion of -2 in n 1545039142.415 * [misc]backup-simplify: Simplify -2 into -2 1545039142.415 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039142.415 * [misc]taylor: Taking taylor expansion of PI in n 1545039142.415 * [misc]backup-simplify: Simplify PI into PI 1545039142.415 * [misc]taylor: Taking taylor expansion of n in n 1545039142.415 * [misc]backup-simplify: Simplify 0 into 0 1545039142.415 * [misc]backup-simplify: Simplify 1 into 1 1545039142.415 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039142.415 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.416 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039142.416 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039142.416 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.417 * [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))) 1545039142.418 * [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)))) 1545039142.418 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039142.418 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039142.418 * [misc]taylor: Taking taylor expansion of -1 in n 1545039142.418 * [misc]backup-simplify: Simplify -1 into -1 1545039142.418 * [misc]taylor: Taking taylor expansion of k in n 1545039142.418 * [misc]backup-simplify: Simplify k into k 1545039142.418 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039142.418 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039142.418 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039142.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039142.419 * [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))) 1545039142.420 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of k in k 1545039142.420 * [misc]backup-simplify: Simplify 0 into 0 1545039142.420 * [misc]backup-simplify: Simplify 1 into 1 1545039142.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039142.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039142.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039142.420 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545039142.420 * [misc]taylor: Taking taylor expansion of -2 in k 1545039142.420 * [misc]backup-simplify: Simplify -2 into -2 1545039142.420 * [misc]taylor: Taking taylor expansion of PI in k 1545039142.420 * [misc]backup-simplify: Simplify PI into PI 1545039142.420 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039142.421 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039142.421 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039142.421 * [misc]taylor: Taking taylor expansion of n in k 1545039142.421 * [misc]backup-simplify: Simplify n into n 1545039142.421 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039142.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039142.421 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039142.421 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039142.422 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545039142.422 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545039142.423 * [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)))) 1545039142.423 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039142.423 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039142.423 * [misc]taylor: Taking taylor expansion of -1 in k 1545039142.423 * [misc]backup-simplify: Simplify -1 into -1 1545039142.423 * [misc]taylor: Taking taylor expansion of k in k 1545039142.423 * [misc]backup-simplify: Simplify 0 into 0 1545039142.423 * [misc]backup-simplify: Simplify 1 into 1 1545039142.423 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039142.423 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039142.424 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039142.424 * [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))))) 1545039142.425 * [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))))) 1545039142.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039142.426 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039142.429 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545039142.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039142.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039142.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.431 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545039142.432 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039142.433 * [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 1545039142.433 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.433 * [misc]backup-simplify: Simplify 0 into 0 1545039142.433 * [misc]backup-simplify: Simplify 0 into 0 1545039142.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039142.434 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039142.435 * [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)))))) 1545039142.436 * [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)))))) 1545039142.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.438 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039142.442 * [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 1545039142.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039142.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039142.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039142.444 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545039142.446 * [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 1545039142.447 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039142.447 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545039142.448 * [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 1545039142.448 * [misc]taylor: Taking taylor expansion of 0 in k 1545039142.448 * [misc]backup-simplify: Simplify 0 into 0 1545039142.448 * [misc]backup-simplify: Simplify 0 into 0 1545039142.448 * [misc]backup-simplify: Simplify 0 into 0 1545039142.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039142.450 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039142.451 * [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)))))) 1545039142.452 * [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)))))) 1545039142.454 * [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))))))))))) 1545039142.455 * * * [misc]progress: simplifying candidates 1545039142.455 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1545039142.455 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545039142.455 * * [misc]simplify: iters left: 6 (11 enodes) 1545039142.459 * * [misc]simplify: iters left: 5 (21 enodes) 1545039142.466 * * [misc]simplify: iters left: 4 (47 enodes) 1545039142.483 * * [misc]simplify: iters left: 3 (109 enodes) 1545039142.525 * * [misc]simplify: iters left: 2 (300 enodes) 1545039142.721 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545039142.721 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545039142.721 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1545039142.721 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1545039142.721 * [enter]simplify: Simplifying (* PI (* n 2)) 1545039142.721 * * [misc]simplify: iters left: 4 (5 enodes) 1545039142.722 * * [misc]simplify: iters left: 3 (9 enodes) 1545039142.723 * * [misc]simplify: iters left: 2 (15 enodes) 1545039142.725 * * [misc]simplify: iters left: 1 (17 enodes) 1545039142.727 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545039142.727 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545039142.727 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1545039142.728 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545039142.728 * * [misc]simplify: iters left: 5 (8 enodes) 1545039142.729 * * [misc]simplify: iters left: 4 (12 enodes) 1545039142.731 * * [misc]simplify: iters left: 3 (18 enodes) 1545039142.733 * * [misc]simplify: iters left: 2 (20 enodes) 1545039142.735 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545039142.735 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545039142.736 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1545039142.736 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039142.736 * * [misc]simplify: iters left: 5 (6 enodes) 1545039142.737 * * [misc]simplify: iters left: 4 (8 enodes) 1545039142.738 * * [misc]simplify: iters left: 3 (11 enodes) 1545039142.739 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039142.739 * [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))) 1545039142.739 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1545039142.740 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039142.740 * * [misc]simplify: iters left: 5 (6 enodes) 1545039142.741 * * [misc]simplify: iters left: 4 (8 enodes) 1545039142.742 * * [misc]simplify: iters left: 3 (11 enodes) 1545039142.743 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039142.743 * [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))) 1545039142.743 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1545039142.744 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039142.744 * * [misc]simplify: iters left: 4 (5 enodes) 1545039142.745 * * [misc]simplify: iters left: 3 (7 enodes) 1545039142.747 * * [misc]simplify: iters left: 2 (10 enodes) 1545039142.750 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039142.750 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545039142.750 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1545039142.751 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039142.751 * * [misc]simplify: iters left: 5 (9 enodes) 1545039142.754 * * [misc]simplify: iters left: 4 (15 enodes) 1545039142.758 * * [misc]simplify: iters left: 3 (21 enodes) 1545039142.764 * * [misc]simplify: iters left: 2 (22 enodes) 1545039142.770 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039142.770 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545039142.770 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1545039142.770 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039142.770 * * [misc]simplify: iters left: 5 (9 enodes) 1545039142.776 * * [misc]simplify: iters left: 4 (15 enodes) 1545039142.780 * * [misc]simplify: iters left: 3 (21 enodes) 1545039142.783 * * [misc]simplify: iters left: 2 (22 enodes) 1545039142.785 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039142.785 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545039142.786 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1545039142.786 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545039142.786 * * [misc]simplify: iters left: 5 (7 enodes) 1545039142.787 * * [misc]simplify: iters left: 4 (9 enodes) 1545039142.788 * * [misc]simplify: iters left: 3 (12 enodes) 1545039142.790 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545039142.790 * [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))) 1545039142.790 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1545039142.790 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1545039142.790 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545039142.791 * * [misc]simplify: iters left: 6 (14 enodes) 1545039142.793 * * [misc]simplify: iters left: 5 (26 enodes) 1545039142.797 * * [misc]simplify: iters left: 4 (53 enodes) 1545039142.807 * * [misc]simplify: iters left: 3 (137 enodes) 1545039142.868 * * [misc]simplify: iters left: 2 (487 enodes) 1545039143.347 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545039143.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545039143.347 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1545039143.347 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545039143.348 * * [misc]simplify: iters left: 6 (14 enodes) 1545039143.352 * * [misc]simplify: iters left: 5 (26 enodes) 1545039143.361 * * [misc]simplify: iters left: 4 (53 enodes) 1545039143.382 * * [misc]simplify: iters left: 3 (137 enodes) 1545039143.433 * * [misc]simplify: iters left: 2 (487 enodes) 1545039144.032 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545039144.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545039144.032 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1545039144.033 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545039144.033 * * [misc]simplify: iters left: 6 (14 enodes) 1545039144.037 * * [misc]simplify: iters left: 5 (24 enodes) 1545039144.045 * * [misc]simplify: iters left: 4 (42 enodes) 1545039144.057 * * [misc]simplify: iters left: 3 (71 enodes) 1545039144.093 * * [misc]simplify: iters left: 2 (208 enodes) 1545039144.366 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545039144.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545039144.366 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1545039144.366 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1545039144.366 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1545039144.366 * [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))) 1545039144.366 * * [misc]simplify: iters left: 6 (16 enodes) 1545039144.372 * * [misc]simplify: iters left: 5 (31 enodes) 1545039144.381 * * [misc]simplify: iters left: 4 (67 enodes) 1545039144.403 * * [misc]simplify: iters left: 3 (124 enodes) 1545039144.451 * * [misc]simplify: iters left: 2 (195 enodes) 1545039144.533 * * [misc]simplify: iters left: 1 (309 enodes) 1545039144.722 * [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)))) 1545039144.722 * [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)))))) 1545039144.723 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1545039144.723 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1545039144.723 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1545039144.723 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1545039144.723 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1545039144.723 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.723 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.727 * * [misc]simplify: iters left: 5 (19 enodes) 1545039144.732 * * [misc]simplify: iters left: 4 (25 enodes) 1545039144.737 * * [misc]simplify: iters left: 3 (26 enodes) 1545039144.740 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.740 * [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))))) 1545039144.740 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545039144.740 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.742 * * [misc]simplify: iters left: 5 (18 enodes) 1545039144.745 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.748 * * [misc]simplify: iters left: 3 (25 enodes) 1545039144.750 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545039144.750 * [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))))) 1545039144.751 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1545039144.751 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545039144.751 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.752 * * [misc]simplify: iters left: 5 (16 enodes) 1545039144.754 * * [misc]simplify: iters left: 4 (22 enodes) 1545039144.757 * * [misc]simplify: iters left: 3 (24 enodes) 1545039144.760 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545039144.760 * [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))))) 1545039144.760 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545039144.760 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.763 * * [misc]simplify: iters left: 5 (18 enodes) 1545039144.767 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.774 * * [misc]simplify: iters left: 3 (25 enodes) 1545039144.780 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545039144.780 * [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))))) 1545039144.780 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1545039144.781 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545039144.781 * * [misc]simplify: iters left: 6 (9 enodes) 1545039144.784 * * [misc]simplify: iters left: 5 (16 enodes) 1545039144.789 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.794 * * [misc]simplify: iters left: 3 (26 enodes) 1545039144.800 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545039144.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545039144.800 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545039144.800 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.804 * * [misc]simplify: iters left: 5 (17 enodes) 1545039144.809 * * [misc]simplify: iters left: 4 (23 enodes) 1545039144.815 * * [misc]simplify: iters left: 3 (24 enodes) 1545039144.821 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545039144.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545039144.821 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1545039144.821 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.821 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.825 * * [misc]simplify: iters left: 5 (19 enodes) 1545039144.831 * * [misc]simplify: iters left: 4 (25 enodes) 1545039144.838 * * [misc]simplify: iters left: 3 (26 enodes) 1545039144.844 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.844 * [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))))) 1545039144.845 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545039144.845 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.848 * * [misc]simplify: iters left: 5 (18 enodes) 1545039144.854 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.860 * * [misc]simplify: iters left: 3 (25 enodes) 1545039144.866 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545039144.866 * [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))))) 1545039144.866 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1545039144.867 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545039144.867 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.870 * * [misc]simplify: iters left: 5 (16 enodes) 1545039144.875 * * [misc]simplify: iters left: 4 (22 enodes) 1545039144.880 * * [misc]simplify: iters left: 3 (24 enodes) 1545039144.886 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545039144.886 * [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))))) 1545039144.887 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545039144.887 * * [misc]simplify: iters left: 6 (12 enodes) 1545039144.890 * * [misc]simplify: iters left: 5 (18 enodes) 1545039144.896 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.902 * * [misc]simplify: iters left: 3 (25 enodes) 1545039144.908 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545039144.908 * [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))))) 1545039144.908 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1545039144.908 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545039144.908 * * [misc]simplify: iters left: 6 (9 enodes) 1545039144.910 * * [misc]simplify: iters left: 5 (16 enodes) 1545039144.913 * * [misc]simplify: iters left: 4 (24 enodes) 1545039144.915 * * [misc]simplify: iters left: 3 (26 enodes) 1545039144.918 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545039144.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545039144.918 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545039144.918 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.920 * * [misc]simplify: iters left: 5 (17 enodes) 1545039144.922 * * [misc]simplify: iters left: 4 (23 enodes) 1545039144.925 * * [misc]simplify: iters left: 3 (24 enodes) 1545039144.928 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545039144.928 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545039144.928 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1545039144.928 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.928 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.929 * * [misc]simplify: iters left: 5 (15 enodes) 1545039144.931 * * [misc]simplify: iters left: 4 (18 enodes) 1545039144.934 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039144.934 * [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))))) 1545039144.934 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545039144.934 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.936 * * [misc]simplify: iters left: 5 (14 enodes) 1545039144.938 * * [misc]simplify: iters left: 4 (17 enodes) 1545039144.940 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545039144.940 * [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))))) 1545039144.940 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1545039144.940 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039144.940 * * [misc]simplify: iters left: 6 (10 enodes) 1545039144.942 * * [misc]simplify: iters left: 5 (12 enodes) 1545039144.943 * * [misc]simplify: iters left: 4 (15 enodes) 1545039144.945 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039144.945 * [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))))) 1545039144.945 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039144.945 * * [misc]simplify: iters left: 6 (11 enodes) 1545039144.947 * * [misc]simplify: iters left: 5 (14 enodes) 1545039144.949 * * [misc]simplify: iters left: 4 (17 enodes) 1545039144.951 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039144.951 * [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))))) 1545039144.951 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1545039144.951 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545039144.951 * * [misc]simplify: iters left: 6 (9 enodes) 1545039144.952 * * [misc]simplify: iters left: 5 (13 enodes) 1545039144.954 * * [misc]simplify: iters left: 4 (18 enodes) 1545039144.956 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545039144.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545039144.956 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545039144.956 * * [misc]simplify: iters left: 6 (10 enodes) 1545039144.958 * * [misc]simplify: iters left: 5 (13 enodes) 1545039144.960 * * [misc]simplify: iters left: 4 (16 enodes) 1545039144.964 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545039144.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545039144.964 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1545039144.965 * [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)))) 1545039144.965 * * [misc]simplify: iters left: 6 (16 enodes) 1545039144.970 * * [misc]simplify: iters left: 5 (28 enodes) 1545039144.978 * * [misc]simplify: iters left: 4 (46 enodes) 1545039144.991 * * [misc]simplify: iters left: 3 (50 enodes) 1545039145.003 * * [misc]simplify: iters left: 2 (53 enodes) 1545039145.017 * [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)))) 1545039145.017 * [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))))) 1545039145.017 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545039145.018 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.021 * * [misc]simplify: iters left: 5 (20 enodes) 1545039145.027 * * [misc]simplify: iters left: 4 (29 enodes) 1545039145.034 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.041 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545039145.041 * [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))))) 1545039145.041 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1545039145.042 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545039145.042 * * [misc]simplify: iters left: 6 (15 enodes) 1545039145.046 * * [misc]simplify: iters left: 5 (23 enodes) 1545039145.053 * * [misc]simplify: iters left: 4 (34 enodes) 1545039145.062 * * [misc]simplify: iters left: 3 (37 enodes) 1545039145.071 * [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)))))) 1545039145.071 * [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))))) 1545039145.071 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.072 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.076 * * [misc]simplify: iters left: 5 (20 enodes) 1545039145.082 * * [misc]simplify: iters left: 4 (29 enodes) 1545039145.086 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.090 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.090 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545039145.090 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1545039145.090 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545039145.090 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.092 * * [misc]simplify: iters left: 5 (24 enodes) 1545039145.096 * * [misc]simplify: iters left: 4 (39 enodes) 1545039145.101 * * [misc]simplify: iters left: 3 (54 enodes) 1545039145.107 * * [misc]simplify: iters left: 2 (80 enodes) 1545039145.120 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545039145.120 * [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)))) 1545039145.121 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545039145.121 * * [misc]simplify: iters left: 6 (13 enodes) 1545039145.125 * * [misc]simplify: iters left: 5 (19 enodes) 1545039145.130 * * [misc]simplify: iters left: 4 (28 enodes) 1545039145.137 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.143 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545039145.144 * [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)))) 1545039145.144 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1545039145.144 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039145.144 * * [misc]simplify: iters left: 6 (15 enodes) 1545039145.148 * * [misc]simplify: iters left: 5 (23 enodes) 1545039145.153 * * [misc]simplify: iters left: 4 (32 enodes) 1545039145.161 * * [misc]simplify: iters left: 3 (34 enodes) 1545039145.168 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039145.168 * [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))))) 1545039145.168 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545039145.168 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.172 * * [misc]simplify: iters left: 5 (20 enodes) 1545039145.177 * * [misc]simplify: iters left: 4 (29 enodes) 1545039145.183 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.190 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545039145.190 * [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))))) 1545039145.190 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1545039145.190 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.191 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.195 * * [misc]simplify: iters left: 5 (20 enodes) 1545039145.200 * * [misc]simplify: iters left: 4 (29 enodes) 1545039145.205 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.209 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.209 * [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))))) 1545039145.209 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.209 * * [misc]simplify: iters left: 6 (14 enodes) 1545039145.211 * * [misc]simplify: iters left: 5 (20 enodes) 1545039145.214 * * [misc]simplify: iters left: 4 (29 enodes) 1545039145.217 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.221 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545039145.221 * [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))))) 1545039145.221 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1545039145.221 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545039145.221 * * [misc]simplify: iters left: 6 (13 enodes) 1545039145.223 * * [misc]simplify: iters left: 5 (21 enodes) 1545039145.226 * * [misc]simplify: iters left: 4 (32 enodes) 1545039145.231 * * [misc]simplify: iters left: 3 (33 enodes) 1545039145.234 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545039145.234 * [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)))) 1545039145.234 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545039145.234 * * [misc]simplify: iters left: 6 (13 enodes) 1545039145.236 * * [misc]simplify: iters left: 5 (19 enodes) 1545039145.239 * * [misc]simplify: iters left: 4 (28 enodes) 1545039145.243 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.250 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545039145.250 * [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)))) 1545039145.250 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1545039145.251 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545039145.251 * * [misc]simplify: iters left: 6 (6 enodes) 1545039145.253 * * [misc]simplify: iters left: 5 (10 enodes) 1545039145.256 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545039145.256 * [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))))) 1545039145.256 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545039145.256 * * [misc]simplify: iters left: 6 (13 enodes) 1545039145.260 * * [misc]simplify: iters left: 5 (19 enodes) 1545039145.265 * * [misc]simplify: iters left: 4 (28 enodes) 1545039145.273 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.280 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545039145.280 * [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))))) 1545039145.280 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1545039145.280 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545039145.280 * * [misc]simplify: iters left: 4 (5 enodes) 1545039145.282 * * [misc]simplify: iters left: 3 (7 enodes) 1545039145.283 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545039145.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545039145.284 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039145.284 * * [misc]simplify: iters left: 6 (13 enodes) 1545039145.288 * * [misc]simplify: iters left: 5 (19 enodes) 1545039145.294 * * [misc]simplify: iters left: 4 (28 enodes) 1545039145.301 * * [misc]simplify: iters left: 3 (30 enodes) 1545039145.308 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545039145.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545039145.308 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1545039145.309 * [enter]simplify: Simplifying (/ 1 1) 1545039145.309 * * [misc]simplify: iters left: 2 (2 enodes) 1545039145.309 * * [misc]simplify: iters left: 1 (4 enodes) 1545039145.310 * [exit]simplify: Simplified to 1 1545039145.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545039145.310 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545039145.310 * * [misc]simplify: iters left: 6 (12 enodes) 1545039145.314 * * [misc]simplify: iters left: 5 (18 enodes) 1545039145.317 * * [misc]simplify: iters left: 4 (27 enodes) 1545039145.321 * * [misc]simplify: iters left: 3 (29 enodes) 1545039145.324 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545039145.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545039145.324 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1545039145.324 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1545039145.324 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1545039145.324 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1545039145.324 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545039145.324 * * [misc]simplify: iters left: 2 (3 enodes) 1545039145.325 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545039145.325 * [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)))) 1545039145.325 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1545039145.325 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545039145.325 * * [misc]simplify: iters left: 2 (3 enodes) 1545039145.325 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039145.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545039145.325 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1545039145.326 * [enter]simplify: Simplifying (sqrt k) 1545039145.326 * * [misc]simplify: iters left: 1 (2 enodes) 1545039145.326 * [exit]simplify: Simplified to (sqrt k) 1545039145.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545039145.326 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1545039145.326 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545039145.326 * * [misc]simplify: iters left: 5 (7 enodes) 1545039145.327 * * [misc]simplify: iters left: 4 (12 enodes) 1545039145.329 * * [misc]simplify: iters left: 3 (18 enodes) 1545039145.331 * * [misc]simplify: iters left: 2 (20 enodes) 1545039145.333 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545039145.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545039145.333 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1545039145.333 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545039145.333 * * [misc]simplify: iters left: 5 (7 enodes) 1545039145.334 * * [misc]simplify: iters left: 4 (12 enodes) 1545039145.336 * * [misc]simplify: iters left: 3 (18 enodes) 1545039145.338 * * [misc]simplify: iters left: 2 (20 enodes) 1545039145.341 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545039145.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545039145.341 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1545039145.341 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545039145.341 * * [misc]simplify: iters left: 5 (7 enodes) 1545039145.342 * * [misc]simplify: iters left: 4 (9 enodes) 1545039145.344 * * [misc]simplify: iters left: 3 (12 enodes) 1545039145.347 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545039145.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039145.347 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1545039145.348 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039145.348 * * [misc]simplify: iters left: 6 (12 enodes) 1545039145.351 * * [misc]simplify: iters left: 5 (18 enodes) 1545039145.357 * * [misc]simplify: iters left: 4 (27 enodes) 1545039145.364 * * [misc]simplify: iters left: 3 (29 enodes) 1545039145.371 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545039145.371 * [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))))))) 1545039145.371 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1545039145.371 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039145.371 * * [misc]simplify: iters left: 6 (11 enodes) 1545039145.374 * * [misc]simplify: iters left: 5 (17 enodes) 1545039145.379 * * [misc]simplify: iters left: 4 (26 enodes) 1545039145.385 * * [misc]simplify: iters left: 3 (27 enodes) 1545039145.392 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545039145.392 * [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))))))) 1545039145.392 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1545039145.392 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1545039145.392 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545039145.392 * * [misc]simplify: iters left: 5 (7 enodes) 1545039145.395 * * [misc]simplify: iters left: 4 (12 enodes) 1545039145.398 * * [misc]simplify: iters left: 3 (18 enodes) 1545039145.403 * * [misc]simplify: iters left: 2 (20 enodes) 1545039145.407 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545039145.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545039145.407 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1545039145.408 * [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))))) 1545039145.408 * * [misc]simplify: iters left: 6 (37 enodes) 1545039145.423 * * [misc]simplify: iters left: 5 (105 enodes) 1545039145.467 * * [misc]simplify: iters left: 4 (339 enodes) 1545039145.736 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545039145.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1545039145.736 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1545039145.736 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545039145.736 * * [misc]simplify: iters left: 6 (15 enodes) 1545039145.742 * * [misc]simplify: iters left: 5 (33 enodes) 1545039145.752 * * [misc]simplify: iters left: 4 (64 enodes) 1545039145.772 * * [misc]simplify: iters left: 3 (171 enodes) 1545039145.878 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545039145.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1545039145.878 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1545039145.878 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545039145.879 * * [misc]simplify: iters left: 6 (15 enodes) 1545039145.885 * * [misc]simplify: iters left: 5 (30 enodes) 1545039145.896 * * [misc]simplify: iters left: 4 (65 enodes) 1545039145.923 * * [misc]simplify: iters left: 3 (200 enodes) 1545039146.054 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545039146.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545039146.054 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1545039146.054 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039146.054 * * [misc]simplify: iters left: 4 (5 enodes) 1545039146.055 * * [misc]simplify: iters left: 3 (9 enodes) 1545039146.056 * * [misc]simplify: iters left: 2 (15 enodes) 1545039146.058 * * [misc]simplify: iters left: 1 (17 enodes) 1545039146.060 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039146.060 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545039146.060 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1545039146.060 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039146.060 * * [misc]simplify: iters left: 4 (5 enodes) 1545039146.061 * * [misc]simplify: iters left: 3 (9 enodes) 1545039146.062 * * [misc]simplify: iters left: 2 (15 enodes) 1545039146.066 * * [misc]simplify: iters left: 1 (17 enodes) 1545039146.069 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039146.070 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545039146.070 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1545039146.070 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039146.070 * * [misc]simplify: iters left: 4 (5 enodes) 1545039146.072 * * [misc]simplify: iters left: 3 (9 enodes) 1545039146.074 * * [misc]simplify: iters left: 2 (15 enodes) 1545039146.078 * * [misc]simplify: iters left: 1 (17 enodes) 1545039146.082 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039146.082 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545039146.082 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1545039146.082 * [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)))))))))))))))))))))) 1545039146.083 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039146.083 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1545039146.083 * [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)))))))) 1545039146.083 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039146.083 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1545039146.083 * [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))))))))))) 1545039146.083 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039146.083 * * * [misc]progress: adding candidates to table 1545039147.111 * * [misc]progress: iteration 2 / 4 1545039147.111 * * * [misc]progress: picking best candidate 1545039147.176 * * * * [misc]pick: Picked # 1545039147.176 * * * [misc]progress: localizing error 1545039147.181 * * * [misc]progress: generating rewritten candidates 1545039147.181 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545039147.185 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1545039147.188 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545039147.197 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545039147.211 * * * [misc]progress: generating series expansions 1545039147.211 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545039147.211 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545039147.211 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545039147.211 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039147.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039147.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039147.211 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.211 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.211 * [misc]taylor: Taking taylor expansion of k in k 1545039147.211 * [misc]backup-simplify: Simplify 0 into 0 1545039147.212 * [misc]backup-simplify: Simplify 1 into 1 1545039147.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039147.212 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039147.212 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.212 * [misc]backup-simplify: Simplify 2 into 2 1545039147.212 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039147.212 * [misc]taylor: Taking taylor expansion of n in k 1545039147.212 * [misc]backup-simplify: Simplify n into n 1545039147.212 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.212 * [misc]backup-simplify: Simplify PI into PI 1545039147.212 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039147.212 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039147.212 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039147.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.213 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.213 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.213 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039147.213 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039147.213 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.213 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.213 * [misc]taylor: Taking taylor expansion of k in n 1545039147.213 * [misc]backup-simplify: Simplify k into k 1545039147.213 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.213 * [misc]backup-simplify: Simplify 2 into 2 1545039147.213 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.213 * [misc]taylor: Taking taylor expansion of n in n 1545039147.214 * [misc]backup-simplify: Simplify 0 into 0 1545039147.214 * [misc]backup-simplify: Simplify 1 into 1 1545039147.214 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.214 * [misc]backup-simplify: Simplify PI into PI 1545039147.214 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.214 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.216 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.216 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.216 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039147.216 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039147.216 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039147.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.218 * [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)))) 1545039147.218 * [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))))) 1545039147.218 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039147.218 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039147.218 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039147.218 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039147.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.218 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039147.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.219 * [misc]taylor: Taking taylor expansion of k in n 1545039147.219 * [misc]backup-simplify: Simplify k into k 1545039147.219 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.219 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.219 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.219 * [misc]backup-simplify: Simplify 2 into 2 1545039147.219 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.219 * [misc]taylor: Taking taylor expansion of n in n 1545039147.219 * [misc]backup-simplify: Simplify 0 into 0 1545039147.219 * [misc]backup-simplify: Simplify 1 into 1 1545039147.219 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.219 * [misc]backup-simplify: Simplify PI into PI 1545039147.219 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.219 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.220 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.220 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.221 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.221 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039147.221 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039147.221 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039147.222 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.222 * [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)))) 1545039147.223 * [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))))) 1545039147.223 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545039147.223 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545039147.223 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.223 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.223 * [misc]taylor: Taking taylor expansion of k in k 1545039147.224 * [misc]backup-simplify: Simplify 0 into 0 1545039147.224 * [misc]backup-simplify: Simplify 1 into 1 1545039147.224 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545039147.224 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039147.224 * [misc]taylor: Taking taylor expansion of n in k 1545039147.224 * [misc]backup-simplify: Simplify n into n 1545039147.224 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039147.224 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039147.224 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039147.224 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.224 * [misc]backup-simplify: Simplify 2 into 2 1545039147.224 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.224 * [misc]backup-simplify: Simplify PI into PI 1545039147.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.225 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.225 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.225 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.226 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.226 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545039147.227 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545039147.228 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545039147.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039147.233 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545039147.233 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.233 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.234 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545039147.236 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.236 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.236 * [misc]backup-simplify: Simplify 0 into 0 1545039147.236 * [misc]backup-simplify: Simplify 0 into 0 1545039147.237 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039147.238 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039147.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.241 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039147.241 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.241 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545039147.244 * [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))))))) 1545039147.245 * [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))))))) 1545039147.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.249 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545039147.254 * [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 1545039147.254 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545039147.255 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.256 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.256 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039147.259 * [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 1545039147.259 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.259 * [misc]backup-simplify: Simplify 0 into 0 1545039147.259 * [misc]backup-simplify: Simplify 0 into 0 1545039147.259 * [misc]backup-simplify: Simplify 0 into 0 1545039147.261 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039147.262 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.267 * [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 1545039147.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.267 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039147.268 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.269 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545039147.271 * [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))))) 1545039147.274 * [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))))) 1545039147.279 * [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))))) 1545039147.279 * [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)))) 1545039147.279 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545039147.279 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.279 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.279 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.279 * [misc]taylor: Taking taylor expansion of k in k 1545039147.279 * [misc]backup-simplify: Simplify 0 into 0 1545039147.279 * [misc]backup-simplify: Simplify 1 into 1 1545039147.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.280 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039147.280 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039147.280 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.280 * [misc]backup-simplify: Simplify 2 into 2 1545039147.280 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.280 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.280 * [misc]backup-simplify: Simplify PI into PI 1545039147.280 * [misc]taylor: Taking taylor expansion of n in k 1545039147.280 * [misc]backup-simplify: Simplify n into n 1545039147.280 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.280 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039147.280 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039147.280 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.281 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.281 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.281 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039147.281 * [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)))) 1545039147.281 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of k in n 1545039147.281 * [misc]backup-simplify: Simplify k into k 1545039147.281 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.281 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.281 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.282 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.282 * [misc]backup-simplify: Simplify 2 into 2 1545039147.282 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.282 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.282 * [misc]backup-simplify: Simplify PI into PI 1545039147.282 * [misc]taylor: Taking taylor expansion of n in n 1545039147.282 * [misc]backup-simplify: Simplify 0 into 0 1545039147.282 * [misc]backup-simplify: Simplify 1 into 1 1545039147.282 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.282 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.283 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.283 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.284 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.285 * [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))) 1545039147.286 * [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)))) 1545039147.286 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of k in n 1545039147.286 * [misc]backup-simplify: Simplify k into k 1545039147.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.286 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.286 * [misc]backup-simplify: Simplify 2 into 2 1545039147.286 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.286 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.286 * [misc]backup-simplify: Simplify PI into PI 1545039147.286 * [misc]taylor: Taking taylor expansion of n in n 1545039147.286 * [misc]backup-simplify: Simplify 0 into 0 1545039147.286 * [misc]backup-simplify: Simplify 1 into 1 1545039147.287 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.287 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.287 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.287 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.288 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.288 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.288 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.289 * [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))) 1545039147.290 * [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)))) 1545039147.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of k in k 1545039147.290 * [misc]backup-simplify: Simplify 0 into 0 1545039147.290 * [misc]backup-simplify: Simplify 1 into 1 1545039147.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.290 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545039147.290 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.290 * [misc]backup-simplify: Simplify 2 into 2 1545039147.290 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.290 * [misc]backup-simplify: Simplify PI into PI 1545039147.291 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.291 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.291 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039147.291 * [misc]taylor: Taking taylor expansion of n in k 1545039147.291 * [misc]backup-simplify: Simplify n into n 1545039147.291 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039147.291 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.292 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.292 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.292 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039147.292 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545039147.293 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545039147.294 * [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)))) 1545039147.294 * [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)))) 1545039147.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.296 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039147.299 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.299 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.299 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.300 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.301 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545039147.302 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.303 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.303 * [misc]backup-simplify: Simplify 0 into 0 1545039147.303 * [misc]backup-simplify: Simplify 0 into 0 1545039147.303 * [misc]backup-simplify: Simplify 0 into 0 1545039147.304 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.310 * [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 1545039147.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039147.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039147.310 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.312 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545039147.314 * [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 1545039147.314 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.314 * [misc]backup-simplify: Simplify 0 into 0 1545039147.314 * [misc]backup-simplify: Simplify 0 into 0 1545039147.314 * [misc]backup-simplify: Simplify 0 into 0 1545039147.314 * [misc]backup-simplify: Simplify 0 into 0 1545039147.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.324 * [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 1545039147.324 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039147.325 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039147.325 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.326 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.327 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545039147.330 * [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 1545039147.330 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.330 * [misc]backup-simplify: Simplify 0 into 0 1545039147.330 * [misc]backup-simplify: Simplify 0 into 0 1545039147.331 * [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))))) 1545039147.331 * [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)) 1545039147.331 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545039147.331 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of k in k 1545039147.331 * [misc]backup-simplify: Simplify 0 into 0 1545039147.331 * [misc]backup-simplify: Simplify 1 into 1 1545039147.331 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.331 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039147.331 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.331 * [misc]backup-simplify: Simplify -2 into -2 1545039147.331 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.332 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.332 * [misc]backup-simplify: Simplify PI into PI 1545039147.332 * [misc]taylor: Taking taylor expansion of n in k 1545039147.332 * [misc]backup-simplify: Simplify n into n 1545039147.332 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.332 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039147.332 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039147.332 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.332 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.332 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039147.332 * [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))) 1545039147.332 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of k in n 1545039147.332 * [misc]backup-simplify: Simplify k into k 1545039147.332 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.332 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.332 * [misc]backup-simplify: Simplify -2 into -2 1545039147.332 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.332 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.332 * [misc]backup-simplify: Simplify PI into PI 1545039147.332 * [misc]taylor: Taking taylor expansion of n in n 1545039147.332 * [misc]backup-simplify: Simplify 0 into 0 1545039147.333 * [misc]backup-simplify: Simplify 1 into 1 1545039147.333 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.333 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.333 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.333 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.333 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.334 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.334 * [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))) 1545039147.335 * [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)))) 1545039147.335 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of k in n 1545039147.335 * [misc]backup-simplify: Simplify k into k 1545039147.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.335 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.335 * [misc]backup-simplify: Simplify -2 into -2 1545039147.335 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.335 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.335 * [misc]backup-simplify: Simplify PI into PI 1545039147.335 * [misc]taylor: Taking taylor expansion of n in n 1545039147.335 * [misc]backup-simplify: Simplify 0 into 0 1545039147.335 * [misc]backup-simplify: Simplify 1 into 1 1545039147.335 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.335 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.336 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.336 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.336 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.336 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.337 * [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))) 1545039147.337 * [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)))) 1545039147.337 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of k in k 1545039147.337 * [misc]backup-simplify: Simplify 0 into 0 1545039147.337 * [misc]backup-simplify: Simplify 1 into 1 1545039147.337 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.337 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545039147.337 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.337 * [misc]backup-simplify: Simplify -2 into -2 1545039147.337 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.337 * [misc]backup-simplify: Simplify PI into PI 1545039147.338 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.338 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.338 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039147.338 * [misc]taylor: Taking taylor expansion of n in k 1545039147.338 * [misc]backup-simplify: Simplify n into n 1545039147.338 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039147.338 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.338 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.338 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039147.339 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545039147.339 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545039147.340 * [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)))) 1545039147.340 * [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)))) 1545039147.341 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.341 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039147.343 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545039147.343 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.344 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.345 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.345 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545039147.346 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.346 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.346 * [misc]backup-simplify: Simplify 0 into 0 1545039147.346 * [misc]backup-simplify: Simplify 0 into 0 1545039147.346 * [misc]backup-simplify: Simplify 0 into 0 1545039147.347 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.348 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.351 * [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 1545039147.351 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039147.351 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039147.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.352 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545039147.354 * [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 1545039147.354 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.354 * [misc]backup-simplify: Simplify 0 into 0 1545039147.354 * [misc]backup-simplify: Simplify 0 into 0 1545039147.354 * [misc]backup-simplify: Simplify 0 into 0 1545039147.354 * [misc]backup-simplify: Simplify 0 into 0 1545039147.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.356 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.362 * [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 1545039147.362 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039147.363 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039147.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.364 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.364 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545039147.368 * [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 1545039147.368 * [misc]taylor: Taking taylor expansion of 0 in k 1545039147.368 * [misc]backup-simplify: Simplify 0 into 0 1545039147.368 * [misc]backup-simplify: Simplify 0 into 0 1545039147.369 * [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))))) 1545039147.369 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1545039147.369 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545039147.369 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545039147.369 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.369 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.369 * [misc]backup-simplify: Simplify 2 into 2 1545039147.369 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.369 * [misc]taylor: Taking taylor expansion of n in n 1545039147.369 * [misc]backup-simplify: Simplify 0 into 0 1545039147.369 * [misc]backup-simplify: Simplify 1 into 1 1545039147.369 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.369 * [misc]backup-simplify: Simplify PI into PI 1545039147.369 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.369 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.370 * [misc]backup-simplify: Simplify 2 into 2 1545039147.370 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.370 * [misc]taylor: Taking taylor expansion of n in n 1545039147.370 * [misc]backup-simplify: Simplify 0 into 0 1545039147.370 * [misc]backup-simplify: Simplify 1 into 1 1545039147.370 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.370 * [misc]backup-simplify: Simplify PI into PI 1545039147.370 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.370 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.370 * [misc]backup-simplify: Simplify 0 into 0 1545039147.371 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.372 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.372 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039147.374 * [misc]backup-simplify: Simplify 0 into 0 1545039147.375 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545039147.377 * [misc]backup-simplify: Simplify 0 into 0 1545039147.379 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039147.380 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545039147.380 * [misc]backup-simplify: Simplify 0 into 0 1545039147.382 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039147.383 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545039147.383 * [misc]backup-simplify: Simplify 0 into 0 1545039147.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039147.387 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545039147.387 * [misc]backup-simplify: Simplify 0 into 0 1545039147.389 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545039147.392 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545039147.392 * [misc]backup-simplify: Simplify 0 into 0 1545039147.392 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545039147.392 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545039147.392 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545039147.392 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.392 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.392 * [misc]backup-simplify: Simplify 2 into 2 1545039147.392 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.392 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.392 * [misc]backup-simplify: Simplify PI into PI 1545039147.393 * [misc]taylor: Taking taylor expansion of n in n 1545039147.393 * [misc]backup-simplify: Simplify 0 into 0 1545039147.393 * [misc]backup-simplify: Simplify 1 into 1 1545039147.393 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.393 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.393 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.393 * [misc]backup-simplify: Simplify 2 into 2 1545039147.393 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.393 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.393 * [misc]backup-simplify: Simplify PI into PI 1545039147.393 * [misc]taylor: Taking taylor expansion of n in n 1545039147.393 * [misc]backup-simplify: Simplify 0 into 0 1545039147.393 * [misc]backup-simplify: Simplify 1 into 1 1545039147.393 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.393 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.393 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.394 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039147.394 * [misc]backup-simplify: Simplify 0 into 0 1545039147.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.396 * [misc]backup-simplify: Simplify 0 into 0 1545039147.397 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.398 * [misc]backup-simplify: Simplify 0 into 0 1545039147.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.400 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039147.400 * [misc]backup-simplify: Simplify 0 into 0 1545039147.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.403 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039147.403 * [misc]backup-simplify: Simplify 0 into 0 1545039147.404 * [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 1545039147.406 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039147.406 * [misc]backup-simplify: Simplify 0 into 0 1545039147.406 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545039147.406 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545039147.406 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545039147.406 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.406 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.406 * [misc]backup-simplify: Simplify -2 into -2 1545039147.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.406 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.406 * [misc]backup-simplify: Simplify PI into PI 1545039147.406 * [misc]taylor: Taking taylor expansion of n in n 1545039147.406 * [misc]backup-simplify: Simplify 0 into 0 1545039147.406 * [misc]backup-simplify: Simplify 1 into 1 1545039147.406 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.406 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.406 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.406 * [misc]backup-simplify: Simplify -2 into -2 1545039147.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.407 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.407 * [misc]backup-simplify: Simplify PI into PI 1545039147.407 * [misc]taylor: Taking taylor expansion of n in n 1545039147.407 * [misc]backup-simplify: Simplify 0 into 0 1545039147.407 * [misc]backup-simplify: Simplify 1 into 1 1545039147.407 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.407 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.407 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.408 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.408 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039147.408 * [misc]backup-simplify: Simplify 0 into 0 1545039147.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.409 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.410 * [misc]backup-simplify: Simplify 0 into 0 1545039147.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.411 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.411 * [misc]backup-simplify: Simplify 0 into 0 1545039147.413 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.415 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545039147.415 * [misc]backup-simplify: Simplify 0 into 0 1545039147.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.420 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545039147.420 * [misc]backup-simplify: Simplify 0 into 0 1545039147.422 * [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 1545039147.426 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545039147.426 * [misc]backup-simplify: Simplify 0 into 0 1545039147.426 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545039147.426 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545039147.427 * [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)) 1545039147.427 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545039147.427 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.427 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.427 * [misc]taylor: Taking taylor expansion of k in n 1545039147.427 * [misc]backup-simplify: Simplify k into k 1545039147.427 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.427 * [misc]backup-simplify: Simplify 2 into 2 1545039147.427 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.427 * [misc]taylor: Taking taylor expansion of n in n 1545039147.427 * [misc]backup-simplify: Simplify 0 into 0 1545039147.427 * [misc]backup-simplify: Simplify 1 into 1 1545039147.427 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.427 * [misc]backup-simplify: Simplify PI into PI 1545039147.428 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.428 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.429 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.429 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.430 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.430 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039147.430 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039147.430 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039147.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.431 * [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)))) 1545039147.432 * [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))))) 1545039147.433 * [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)))))) 1545039147.433 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039147.433 * [misc]taylor: Taking taylor expansion of k in n 1545039147.433 * [misc]backup-simplify: Simplify k into k 1545039147.433 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039147.433 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039147.433 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.433 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.433 * [misc]taylor: Taking taylor expansion of k in k 1545039147.433 * [misc]backup-simplify: Simplify 0 into 0 1545039147.433 * [misc]backup-simplify: Simplify 1 into 1 1545039147.433 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039147.433 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039147.434 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.434 * [misc]backup-simplify: Simplify 2 into 2 1545039147.434 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039147.434 * [misc]taylor: Taking taylor expansion of n in k 1545039147.434 * [misc]backup-simplify: Simplify n into n 1545039147.434 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.434 * [misc]backup-simplify: Simplify PI into PI 1545039147.434 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039147.434 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039147.434 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039147.434 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.434 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.434 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.434 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039147.435 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039147.435 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545039147.435 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039147.435 * [misc]taylor: Taking taylor expansion of k in k 1545039147.435 * [misc]backup-simplify: Simplify 0 into 0 1545039147.435 * [misc]backup-simplify: Simplify 1 into 1 1545039147.435 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.436 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.436 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.436 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.436 * [misc]taylor: Taking taylor expansion of k in k 1545039147.436 * [misc]backup-simplify: Simplify 0 into 0 1545039147.436 * [misc]backup-simplify: Simplify 1 into 1 1545039147.436 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.436 * [misc]backup-simplify: Simplify 2 into 2 1545039147.436 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039147.436 * [misc]taylor: Taking taylor expansion of n in k 1545039147.436 * [misc]backup-simplify: Simplify n into n 1545039147.436 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.436 * [misc]backup-simplify: Simplify PI into PI 1545039147.436 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039147.436 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039147.436 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039147.437 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.437 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.437 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.437 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039147.437 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039147.437 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545039147.437 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039147.437 * [misc]taylor: Taking taylor expansion of k in k 1545039147.437 * [misc]backup-simplify: Simplify 0 into 0 1545039147.437 * [misc]backup-simplify: Simplify 1 into 1 1545039147.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.438 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.438 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1545039147.438 * [misc]taylor: Taking taylor expansion of 0 in n 1545039147.438 * [misc]backup-simplify: Simplify 0 into 0 1545039147.438 * [misc]backup-simplify: Simplify 0 into 0 1545039147.439 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545039147.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545039147.440 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545039147.440 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039147.440 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.441 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545039147.441 * [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))))) 1545039147.442 * [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))))) 1545039147.443 * [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)))) 1545039147.443 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545039147.443 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545039147.444 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.444 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.444 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545039147.444 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039147.444 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039147.444 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.444 * [misc]taylor: Taking taylor expansion of n in n 1545039147.444 * [misc]backup-simplify: Simplify 0 into 0 1545039147.444 * [misc]backup-simplify: Simplify 1 into 1 1545039147.444 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.444 * [misc]backup-simplify: Simplify PI into PI 1545039147.444 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.445 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039147.445 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.446 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039147.446 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039147.446 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.446 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039147.446 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039147.448 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.448 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545039147.449 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.451 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.452 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.452 * [misc]backup-simplify: Simplify 0 into 0 1545039147.453 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.454 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.454 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545039147.456 * [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 1545039147.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039147.456 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545039147.458 * [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))) 1545039147.461 * [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)))))) 1545039147.466 * [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)))))) 1545039147.466 * [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 1545039147.466 * [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 1545039147.466 * [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 1545039147.466 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.466 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.466 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1545039147.466 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1545039147.466 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.466 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.466 * [misc]backup-simplify: Simplify 2 into 2 1545039147.466 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.467 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.467 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1545039147.467 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.467 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.467 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.467 * [misc]backup-simplify: Simplify 2 into 2 1545039147.467 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.467 * [misc]taylor: Taking taylor expansion of n in n 1545039147.467 * [misc]backup-simplify: Simplify 0 into 0 1545039147.467 * [misc]backup-simplify: Simplify 1 into 1 1545039147.467 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.467 * [misc]backup-simplify: Simplify PI into PI 1545039147.467 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.467 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.470 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.470 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.470 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545039147.470 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039147.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.470 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039147.471 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039147.471 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039147.471 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039147.471 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.471 * [misc]taylor: Taking taylor expansion of n in n 1545039147.471 * [misc]backup-simplify: Simplify 0 into 0 1545039147.471 * [misc]backup-simplify: Simplify 1 into 1 1545039147.471 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.471 * [misc]backup-simplify: Simplify PI into PI 1545039147.471 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.472 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.472 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039147.472 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.473 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039147.473 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.473 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.473 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.473 * [misc]taylor: Taking taylor expansion of n in n 1545039147.473 * [misc]backup-simplify: Simplify 0 into 0 1545039147.473 * [misc]backup-simplify: Simplify 1 into 1 1545039147.473 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.473 * [misc]backup-simplify: Simplify PI into PI 1545039147.473 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.474 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039147.474 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.475 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039147.475 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039147.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.475 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039147.476 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039147.476 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.477 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545039147.478 * [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)))) 1545039147.479 * [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))))) 1545039147.480 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.480 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545039147.481 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039147.485 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.486 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545039147.487 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1545039147.489 * [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))))) 1545039147.490 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1545039147.494 * [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))))) 1545039147.496 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.496 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545039147.498 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.499 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545039147.505 * [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))))))) 1545039147.512 * [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))))))) 1545039147.520 * [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))))))) 1545039147.522 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545039147.523 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.524 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545039147.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545039147.526 * [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)))) 1545039147.529 * [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)))) 1545039147.530 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545039147.531 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545039147.537 * [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))))))))))) 1545039147.537 * [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))) 1545039147.537 * [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 1545039147.537 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.537 * [misc]taylor: Taking taylor expansion of k in n 1545039147.537 * [misc]backup-simplify: Simplify k into k 1545039147.538 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.538 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.538 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.538 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.538 * [misc]backup-simplify: Simplify 2 into 2 1545039147.538 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.538 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.538 * [misc]backup-simplify: Simplify PI into PI 1545039147.538 * [misc]taylor: Taking taylor expansion of n in n 1545039147.538 * [misc]backup-simplify: Simplify 0 into 0 1545039147.538 * [misc]backup-simplify: Simplify 1 into 1 1545039147.538 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.538 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.539 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.539 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.539 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.539 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.539 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.540 * [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))) 1545039147.540 * [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)))) 1545039147.541 * [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))))) 1545039147.541 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039147.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.541 * [misc]taylor: Taking taylor expansion of k in n 1545039147.541 * [misc]backup-simplify: Simplify k into k 1545039147.541 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.541 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039147.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.541 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039147.541 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of k in k 1545039147.541 * [misc]backup-simplify: Simplify 0 into 0 1545039147.541 * [misc]backup-simplify: Simplify 1 into 1 1545039147.541 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.541 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.541 * [misc]backup-simplify: Simplify 2 into 2 1545039147.541 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.541 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.541 * [misc]backup-simplify: Simplify PI into PI 1545039147.541 * [misc]taylor: Taking taylor expansion of n in k 1545039147.541 * [misc]backup-simplify: Simplify n into n 1545039147.541 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.542 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039147.542 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039147.542 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.542 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.542 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.542 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039147.542 * [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)))) 1545039147.542 * [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))))) 1545039147.542 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039147.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.542 * [misc]taylor: Taking taylor expansion of k in k 1545039147.542 * [misc]backup-simplify: Simplify 0 into 0 1545039147.542 * [misc]backup-simplify: Simplify 1 into 1 1545039147.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.542 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.543 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.543 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of k in k 1545039147.543 * [misc]backup-simplify: Simplify 0 into 0 1545039147.543 * [misc]backup-simplify: Simplify 1 into 1 1545039147.543 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.543 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.543 * [misc]backup-simplify: Simplify 2 into 2 1545039147.543 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.543 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.543 * [misc]backup-simplify: Simplify PI into PI 1545039147.543 * [misc]taylor: Taking taylor expansion of n in k 1545039147.543 * [misc]backup-simplify: Simplify n into n 1545039147.543 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.543 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039147.543 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039147.544 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.544 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.544 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.544 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039147.544 * [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)))) 1545039147.544 * [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))))) 1545039147.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039147.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.544 * [misc]taylor: Taking taylor expansion of k in k 1545039147.544 * [misc]backup-simplify: Simplify 0 into 0 1545039147.544 * [misc]backup-simplify: Simplify 1 into 1 1545039147.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.544 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.545 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.545 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545039147.545 * [misc]taylor: Taking taylor expansion of 0 in n 1545039147.545 * [misc]backup-simplify: Simplify 0 into 0 1545039147.545 * [misc]backup-simplify: Simplify 0 into 0 1545039147.545 * [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 1545039147.545 * [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))))))) 1545039147.545 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039147.545 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.546 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.546 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of k in n 1545039147.546 * [misc]backup-simplify: Simplify k into k 1545039147.546 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.546 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.546 * [misc]backup-simplify: Simplify 2 into 2 1545039147.546 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.546 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.546 * [misc]backup-simplify: Simplify PI into PI 1545039147.546 * [misc]taylor: Taking taylor expansion of n in n 1545039147.546 * [misc]backup-simplify: Simplify 0 into 0 1545039147.546 * [misc]backup-simplify: Simplify 1 into 1 1545039147.546 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.546 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.547 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.547 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.547 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.547 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.548 * [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))) 1545039147.548 * [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)))) 1545039147.549 * [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))))) 1545039147.549 * [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))))) 1545039147.549 * [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))))))) 1545039147.550 * [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))))))) 1545039147.550 * [misc]backup-simplify: Simplify 0 into 0 1545039147.550 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039147.551 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.551 * [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 1545039147.551 * [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))))))) 1545039147.551 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.551 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.551 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.551 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of k in n 1545039147.552 * [misc]backup-simplify: Simplify k into k 1545039147.552 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.552 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.552 * [misc]backup-simplify: Simplify 2 into 2 1545039147.552 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.552 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.552 * [misc]backup-simplify: Simplify PI into PI 1545039147.552 * [misc]taylor: Taking taylor expansion of n in n 1545039147.552 * [misc]backup-simplify: Simplify 0 into 0 1545039147.552 * [misc]backup-simplify: Simplify 1 into 1 1545039147.552 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.552 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.552 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.553 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.553 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.553 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.554 * [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))) 1545039147.554 * [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)))) 1545039147.555 * [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))))) 1545039147.555 * [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))))) 1545039147.556 * [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))))))) 1545039147.556 * [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))))))) 1545039147.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.557 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039147.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.559 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.559 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.561 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545039147.562 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.563 * [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 1545039147.564 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545039147.565 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.565 * [misc]backup-simplify: Simplify 0 into 0 1545039147.565 * [misc]backup-simplify: Simplify 0 into 0 1545039147.565 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.567 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039147.567 * [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 1545039147.568 * [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))))))) 1545039147.568 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.568 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.568 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.568 * [misc]taylor: Taking taylor expansion of k in n 1545039147.568 * [misc]backup-simplify: Simplify k into k 1545039147.569 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.569 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.569 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.569 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.569 * [misc]backup-simplify: Simplify 2 into 2 1545039147.569 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.569 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.569 * [misc]backup-simplify: Simplify PI into PI 1545039147.569 * [misc]taylor: Taking taylor expansion of n in n 1545039147.569 * [misc]backup-simplify: Simplify 0 into 0 1545039147.569 * [misc]backup-simplify: Simplify 1 into 1 1545039147.569 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.569 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.570 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.570 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.570 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.570 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.572 * [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))) 1545039147.572 * [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)))) 1545039147.573 * [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))))) 1545039147.574 * [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))))) 1545039147.574 * [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))))))) 1545039147.575 * [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))))))) 1545039147.577 * [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)))))))))))) 1545039147.577 * [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))) 1545039147.577 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545039147.577 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of -1 in n 1545039147.577 * [misc]backup-simplify: Simplify -1 into -1 1545039147.577 * [misc]taylor: Taking taylor expansion of k in n 1545039147.577 * [misc]backup-simplify: Simplify k into k 1545039147.577 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039147.577 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039147.577 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039147.577 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039147.577 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.577 * [misc]taylor: Taking taylor expansion of k in n 1545039147.577 * [misc]backup-simplify: Simplify k into k 1545039147.577 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.577 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.578 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.578 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.578 * [misc]backup-simplify: Simplify -2 into -2 1545039147.578 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.578 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.578 * [misc]backup-simplify: Simplify PI into PI 1545039147.578 * [misc]taylor: Taking taylor expansion of n in n 1545039147.578 * [misc]backup-simplify: Simplify 0 into 0 1545039147.578 * [misc]backup-simplify: Simplify 1 into 1 1545039147.578 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.578 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.578 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.578 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.579 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.579 * [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))) 1545039147.580 * [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)))) 1545039147.580 * [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))))) 1545039147.580 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039147.580 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039147.580 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039147.580 * [misc]taylor: Taking taylor expansion of -1 in k 1545039147.580 * [misc]backup-simplify: Simplify -1 into -1 1545039147.580 * [misc]taylor: Taking taylor expansion of k in k 1545039147.580 * [misc]backup-simplify: Simplify 0 into 0 1545039147.580 * [misc]backup-simplify: Simplify 1 into 1 1545039147.580 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039147.581 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.581 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039147.581 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of k in k 1545039147.581 * [misc]backup-simplify: Simplify 0 into 0 1545039147.581 * [misc]backup-simplify: Simplify 1 into 1 1545039147.581 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.581 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.581 * [misc]backup-simplify: Simplify -2 into -2 1545039147.581 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.581 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.581 * [misc]backup-simplify: Simplify PI into PI 1545039147.581 * [misc]taylor: Taking taylor expansion of n in k 1545039147.581 * [misc]backup-simplify: Simplify n into n 1545039147.581 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.581 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039147.581 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039147.582 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.582 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039147.582 * [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))) 1545039147.582 * [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)))) 1545039147.582 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039147.582 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039147.582 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039147.582 * [misc]taylor: Taking taylor expansion of -1 in k 1545039147.582 * [misc]backup-simplify: Simplify -1 into -1 1545039147.582 * [misc]taylor: Taking taylor expansion of k in k 1545039147.582 * [misc]backup-simplify: Simplify 0 into 0 1545039147.582 * [misc]backup-simplify: Simplify 1 into 1 1545039147.582 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039147.582 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.583 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039147.583 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of k in k 1545039147.583 * [misc]backup-simplify: Simplify 0 into 0 1545039147.583 * [misc]backup-simplify: Simplify 1 into 1 1545039147.583 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.583 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.583 * [misc]backup-simplify: Simplify -2 into -2 1545039147.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.583 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.583 * [misc]backup-simplify: Simplify PI into PI 1545039147.583 * [misc]taylor: Taking taylor expansion of n in k 1545039147.583 * [misc]backup-simplify: Simplify n into n 1545039147.583 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.583 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039147.583 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039147.583 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.583 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.584 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039147.584 * [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))) 1545039147.584 * [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)))) 1545039147.584 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.584 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.584 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.584 * [misc]backup-simplify: Simplify -2 into -2 1545039147.584 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.584 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.584 * [misc]backup-simplify: Simplify PI into PI 1545039147.584 * [misc]taylor: Taking taylor expansion of n in n 1545039147.584 * [misc]backup-simplify: Simplify 0 into 0 1545039147.584 * [misc]backup-simplify: Simplify 1 into 1 1545039147.584 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.584 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.585 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.585 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.585 * [misc]taylor: Taking taylor expansion of k in n 1545039147.585 * [misc]backup-simplify: Simplify k into k 1545039147.585 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.585 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.585 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.586 * [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))) 1545039147.586 * [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)))) 1545039147.587 * [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))))) 1545039147.587 * [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))))) 1545039147.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039147.588 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.588 * [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)))))) 1545039147.588 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039147.588 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039147.588 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.588 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.588 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.588 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.588 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.588 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.589 * [misc]backup-simplify: Simplify -2 into -2 1545039147.589 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.589 * [misc]backup-simplify: Simplify PI into PI 1545039147.589 * [misc]taylor: Taking taylor expansion of n in n 1545039147.589 * [misc]backup-simplify: Simplify 0 into 0 1545039147.589 * [misc]backup-simplify: Simplify 1 into 1 1545039147.589 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.589 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.589 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.589 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.589 * [misc]taylor: Taking taylor expansion of k in n 1545039147.589 * [misc]backup-simplify: Simplify k into k 1545039147.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.590 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.590 * [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))) 1545039147.591 * [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)))) 1545039147.591 * [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))))) 1545039147.592 * [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))))) 1545039147.592 * [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))))))) 1545039147.592 * [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))))))) 1545039147.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.593 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.594 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039147.596 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545039147.596 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545039147.597 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.598 * [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 1545039147.599 * [misc]backup-simplify: Simplify 0 into 0 1545039147.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.601 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039147.601 * [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)))))) 1545039147.601 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.601 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.601 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.601 * [misc]backup-simplify: Simplify -2 into -2 1545039147.601 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.601 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.601 * [misc]backup-simplify: Simplify PI into PI 1545039147.601 * [misc]taylor: Taking taylor expansion of n in n 1545039147.602 * [misc]backup-simplify: Simplify 0 into 0 1545039147.602 * [misc]backup-simplify: Simplify 1 into 1 1545039147.602 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.602 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.602 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.602 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.602 * [misc]taylor: Taking taylor expansion of k in n 1545039147.602 * [misc]backup-simplify: Simplify k into k 1545039147.602 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.603 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.603 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.603 * [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))) 1545039147.604 * [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)))) 1545039147.605 * [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))))) 1545039147.606 * [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))))) 1545039147.607 * [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))))))) 1545039147.607 * [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))))))) 1545039147.610 * [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)))))))))))) 1545039147.610 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545039147.611 * [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)))) 1545039147.611 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1545039147.611 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of k in n 1545039147.611 * [misc]backup-simplify: Simplify k into k 1545039147.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.611 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039147.611 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.611 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039147.611 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.611 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039147.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.611 * [misc]taylor: Taking taylor expansion of k in n 1545039147.611 * [misc]backup-simplify: Simplify k into k 1545039147.611 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.612 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.612 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.612 * [misc]backup-simplify: Simplify 2 into 2 1545039147.612 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.612 * [misc]taylor: Taking taylor expansion of n in n 1545039147.612 * [misc]backup-simplify: Simplify 0 into 0 1545039147.612 * [misc]backup-simplify: Simplify 1 into 1 1545039147.612 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.612 * [misc]backup-simplify: Simplify PI into PI 1545039147.612 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.612 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.614 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.614 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.614 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039147.614 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039147.614 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039147.615 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.616 * [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)))) 1545039147.616 * [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))))) 1545039147.616 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545039147.616 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039147.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.616 * [misc]taylor: Taking taylor expansion of k in k 1545039147.616 * [misc]backup-simplify: Simplify 0 into 0 1545039147.616 * [misc]backup-simplify: Simplify 1 into 1 1545039147.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.617 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.617 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039147.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039147.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039147.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.617 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.617 * [misc]taylor: Taking taylor expansion of k in k 1545039147.618 * [misc]backup-simplify: Simplify 0 into 0 1545039147.618 * [misc]backup-simplify: Simplify 1 into 1 1545039147.618 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039147.618 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039147.618 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.618 * [misc]backup-simplify: Simplify 2 into 2 1545039147.618 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039147.618 * [misc]taylor: Taking taylor expansion of n in k 1545039147.618 * [misc]backup-simplify: Simplify n into n 1545039147.618 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.618 * [misc]backup-simplify: Simplify PI into PI 1545039147.618 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039147.618 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039147.618 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039147.618 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.618 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.618 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.619 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039147.619 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039147.619 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545039147.619 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039147.619 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.619 * [misc]taylor: Taking taylor expansion of k in k 1545039147.619 * [misc]backup-simplify: Simplify 0 into 0 1545039147.619 * [misc]backup-simplify: Simplify 1 into 1 1545039147.619 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.619 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.620 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.620 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.620 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.620 * [misc]taylor: Taking taylor expansion of k in k 1545039147.620 * [misc]backup-simplify: Simplify 0 into 0 1545039147.620 * [misc]backup-simplify: Simplify 1 into 1 1545039147.620 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.620 * [misc]backup-simplify: Simplify 2 into 2 1545039147.620 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545039147.620 * [misc]taylor: Taking taylor expansion of n in k 1545039147.620 * [misc]backup-simplify: Simplify n into n 1545039147.620 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.620 * [misc]backup-simplify: Simplify PI into PI 1545039147.620 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545039147.620 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545039147.621 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545039147.621 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039147.621 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.621 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.621 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545039147.621 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545039147.621 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1545039147.622 * [misc]taylor: Taking taylor expansion of 0 in n 1545039147.622 * [misc]backup-simplify: Simplify 0 into 0 1545039147.622 * [misc]backup-simplify: Simplify 0 into 0 1545039147.622 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545039147.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545039147.623 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545039147.623 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039147.623 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.624 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545039147.624 * [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))))) 1545039147.625 * [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))))) 1545039147.625 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.625 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.625 * [misc]backup-simplify: Simplify 2 into 2 1545039147.625 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.625 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.625 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.625 * [misc]taylor: Taking taylor expansion of n in n 1545039147.625 * [misc]backup-simplify: Simplify 0 into 0 1545039147.625 * [misc]backup-simplify: Simplify 1 into 1 1545039147.625 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.625 * [misc]backup-simplify: Simplify PI into PI 1545039147.626 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.626 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.627 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.627 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545039147.627 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.628 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.628 * [misc]backup-simplify: Simplify 0 into 0 1545039147.628 * [misc]backup-simplify: Simplify 0 into 0 1545039147.628 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545039147.629 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545039147.630 * [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 1545039147.631 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039147.631 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.631 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.631 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545039147.632 * [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))) 1545039147.633 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039147.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.634 * [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))))))) 1545039147.634 * [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 1545039147.635 * [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 1545039147.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.635 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.635 * [misc]backup-simplify: Simplify 2 into 2 1545039147.635 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.635 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.635 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.635 * [misc]backup-simplify: Simplify 2 into 2 1545039147.635 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.635 * [misc]taylor: Taking taylor expansion of n in n 1545039147.635 * [misc]backup-simplify: Simplify 0 into 0 1545039147.635 * [misc]backup-simplify: Simplify 1 into 1 1545039147.635 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.635 * [misc]backup-simplify: Simplify PI into PI 1545039147.636 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.636 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.636 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.637 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.637 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.637 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.637 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.637 * [misc]taylor: Taking taylor expansion of n in n 1545039147.638 * [misc]backup-simplify: Simplify 0 into 0 1545039147.638 * [misc]backup-simplify: Simplify 1 into 1 1545039147.638 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.638 * [misc]backup-simplify: Simplify PI into PI 1545039147.638 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.638 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.639 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.639 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.639 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545039147.639 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545039147.639 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.639 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.639 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545039147.639 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.639 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.639 * [misc]backup-simplify: Simplify 2 into 2 1545039147.639 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.640 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.640 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.640 * [misc]taylor: Taking taylor expansion of n in n 1545039147.640 * [misc]backup-simplify: Simplify 0 into 0 1545039147.640 * [misc]backup-simplify: Simplify 1 into 1 1545039147.640 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.640 * [misc]backup-simplify: Simplify PI into PI 1545039147.640 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.641 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.641 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.641 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.642 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.643 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545039147.644 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545039147.644 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.644 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545039147.644 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.644 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.645 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.645 * [misc]backup-simplify: Simplify 0 into 0 1545039147.646 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.647 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.648 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.649 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.649 * [misc]backup-simplify: Simplify 0 into 0 1545039147.650 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545039147.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1545039147.653 * [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 1545039147.654 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545039147.654 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1545039147.657 * [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))) 1545039147.657 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.658 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039147.659 * [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))))))))) 1545039147.659 * [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 1545039147.659 * [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 1545039147.659 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545039147.659 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.659 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.659 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545039147.659 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545039147.659 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.659 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.659 * [misc]backup-simplify: Simplify 2 into 2 1545039147.660 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.660 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.660 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.660 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.660 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.660 * [misc]backup-simplify: Simplify 2 into 2 1545039147.660 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.660 * [misc]taylor: Taking taylor expansion of n in n 1545039147.660 * [misc]backup-simplify: Simplify 0 into 0 1545039147.660 * [misc]backup-simplify: Simplify 1 into 1 1545039147.660 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.660 * [misc]backup-simplify: Simplify PI into PI 1545039147.660 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.660 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.661 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.662 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.662 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.662 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.662 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.662 * [misc]taylor: Taking taylor expansion of n in n 1545039147.662 * [misc]backup-simplify: Simplify 0 into 0 1545039147.662 * [misc]backup-simplify: Simplify 1 into 1 1545039147.662 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.662 * [misc]backup-simplify: Simplify PI into PI 1545039147.663 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.663 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.663 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.664 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.664 * [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 1545039147.664 * [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 1545039147.664 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1545039147.664 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.664 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.664 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1545039147.664 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1545039147.664 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.664 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.664 * [misc]backup-simplify: Simplify 2 into 2 1545039147.664 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.664 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.664 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1545039147.664 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545039147.665 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545039147.665 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.665 * [misc]backup-simplify: Simplify 2 into 2 1545039147.665 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.665 * [misc]taylor: Taking taylor expansion of n in n 1545039147.665 * [misc]backup-simplify: Simplify 0 into 0 1545039147.665 * [misc]backup-simplify: Simplify 1 into 1 1545039147.665 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.665 * [misc]backup-simplify: Simplify PI into PI 1545039147.665 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.665 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039147.666 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.666 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545039147.667 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.667 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.667 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.667 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.667 * [misc]taylor: Taking taylor expansion of n in n 1545039147.667 * [misc]backup-simplify: Simplify 0 into 0 1545039147.667 * [misc]backup-simplify: Simplify 1 into 1 1545039147.667 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.667 * [misc]backup-simplify: Simplify PI into PI 1545039147.668 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.668 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.669 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.669 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.669 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.669 * [misc]backup-simplify: Simplify 2 into 2 1545039147.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039147.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039147.669 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039147.669 * [misc]taylor: Taking taylor expansion of n in n 1545039147.669 * [misc]backup-simplify: Simplify 0 into 0 1545039147.669 * [misc]backup-simplify: Simplify 1 into 1 1545039147.669 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.670 * [misc]backup-simplify: Simplify PI into PI 1545039147.670 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039147.670 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039147.670 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.671 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545039147.672 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.672 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545039147.673 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545039147.673 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.674 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.674 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.675 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1545039147.676 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1545039147.676 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.677 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.678 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.678 * [misc]backup-simplify: Simplify 0 into 0 1545039147.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545039147.682 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.683 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545039147.684 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545039147.685 * [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)))))))) 1545039147.687 * [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)))))))) 1545039147.688 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.690 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.691 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545039147.694 * [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)))))))))) 1545039147.697 * [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))))))) 1545039147.700 * [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))))))) 1545039147.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039147.703 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545039147.704 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545039147.707 * [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)))) 1545039147.710 * [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)))) 1545039147.711 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545039147.711 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545039147.715 * [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))))))))))))) 1545039147.715 * [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))))) 1545039147.715 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545039147.715 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.715 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039147.715 * [misc]taylor: Taking taylor expansion of k in n 1545039147.715 * [misc]backup-simplify: Simplify k into k 1545039147.715 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039147.715 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039147.715 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of k in n 1545039147.716 * [misc]backup-simplify: Simplify k into k 1545039147.716 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.716 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.716 * [misc]backup-simplify: Simplify 2 into 2 1545039147.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.716 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.716 * [misc]backup-simplify: Simplify PI into PI 1545039147.716 * [misc]taylor: Taking taylor expansion of n in n 1545039147.716 * [misc]backup-simplify: Simplify 0 into 0 1545039147.716 * [misc]backup-simplify: Simplify 1 into 1 1545039147.716 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.716 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.717 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.717 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.717 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.718 * [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))) 1545039147.718 * [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)))) 1545039147.718 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039147.718 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039147.718 * [misc]taylor: Taking taylor expansion of k in k 1545039147.718 * [misc]backup-simplify: Simplify 0 into 0 1545039147.718 * [misc]backup-simplify: Simplify 1 into 1 1545039147.718 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.719 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.719 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of k in k 1545039147.719 * [misc]backup-simplify: Simplify 0 into 0 1545039147.719 * [misc]backup-simplify: Simplify 1 into 1 1545039147.719 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.719 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.719 * [misc]backup-simplify: Simplify 2 into 2 1545039147.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.719 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.719 * [misc]backup-simplify: Simplify PI into PI 1545039147.719 * [misc]taylor: Taking taylor expansion of n in k 1545039147.719 * [misc]backup-simplify: Simplify n into n 1545039147.719 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.719 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039147.719 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039147.719 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.719 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.720 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.720 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039147.720 * [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)))) 1545039147.720 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of k in k 1545039147.720 * [misc]backup-simplify: Simplify 0 into 0 1545039147.720 * [misc]backup-simplify: Simplify 1 into 1 1545039147.720 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.720 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039147.720 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.720 * [misc]taylor: Taking taylor expansion of k in k 1545039147.720 * [misc]backup-simplify: Simplify 0 into 0 1545039147.720 * [misc]backup-simplify: Simplify 1 into 1 1545039147.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.721 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545039147.721 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545039147.721 * [misc]taylor: Taking taylor expansion of 2 in k 1545039147.721 * [misc]backup-simplify: Simplify 2 into 2 1545039147.721 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.721 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.721 * [misc]backup-simplify: Simplify PI into PI 1545039147.721 * [misc]taylor: Taking taylor expansion of n in k 1545039147.721 * [misc]backup-simplify: Simplify n into n 1545039147.721 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.721 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545039147.721 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545039147.721 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.721 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039147.721 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039147.721 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545039147.721 * [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)))) 1545039147.721 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545039147.721 * [misc]taylor: Taking taylor expansion of 0 in n 1545039147.721 * [misc]backup-simplify: Simplify 0 into 0 1545039147.722 * [misc]backup-simplify: Simplify 0 into 0 1545039147.722 * [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)))))) 1545039147.722 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.722 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of k in n 1545039147.722 * [misc]backup-simplify: Simplify k into k 1545039147.722 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.722 * [misc]backup-simplify: Simplify 2 into 2 1545039147.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.722 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.722 * [misc]backup-simplify: Simplify PI into PI 1545039147.722 * [misc]taylor: Taking taylor expansion of n in n 1545039147.722 * [misc]backup-simplify: Simplify 0 into 0 1545039147.722 * [misc]backup-simplify: Simplify 1 into 1 1545039147.722 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.723 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.723 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.723 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.723 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.723 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.724 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.724 * [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))) 1545039147.724 * [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)))) 1545039147.725 * [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))))) 1545039147.725 * [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)))))) 1545039147.726 * [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)))))) 1545039147.726 * [misc]backup-simplify: Simplify 0 into 0 1545039147.726 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.727 * [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)))))) 1545039147.727 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.727 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.727 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of k in n 1545039147.727 * [misc]backup-simplify: Simplify k into k 1545039147.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.727 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.727 * [misc]backup-simplify: Simplify 2 into 2 1545039147.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.727 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.727 * [misc]backup-simplify: Simplify PI into PI 1545039147.727 * [misc]taylor: Taking taylor expansion of n in n 1545039147.727 * [misc]backup-simplify: Simplify 0 into 0 1545039147.727 * [misc]backup-simplify: Simplify 1 into 1 1545039147.727 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.728 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.728 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.728 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.728 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.729 * [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))) 1545039147.729 * [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)))) 1545039147.730 * [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))))) 1545039147.730 * [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)))))) 1545039147.730 * [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)))))) 1545039147.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545039147.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545039147.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.733 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.734 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.734 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545039147.735 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.736 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545039147.736 * [misc]backup-simplify: Simplify (- 0) into 0 1545039147.736 * [misc]backup-simplify: Simplify 0 into 0 1545039147.736 * [misc]backup-simplify: Simplify 0 into 0 1545039147.737 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039147.737 * [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)))))) 1545039147.737 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.737 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.737 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of k in n 1545039147.737 * [misc]backup-simplify: Simplify k into k 1545039147.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.737 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545039147.737 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545039147.738 * [misc]taylor: Taking taylor expansion of 2 in n 1545039147.738 * [misc]backup-simplify: Simplify 2 into 2 1545039147.738 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.738 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.738 * [misc]backup-simplify: Simplify PI into PI 1545039147.738 * [misc]taylor: Taking taylor expansion of n in n 1545039147.738 * [misc]backup-simplify: Simplify 0 into 0 1545039147.738 * [misc]backup-simplify: Simplify 1 into 1 1545039147.738 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.739 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545039147.739 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545039147.739 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.739 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039147.739 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039147.740 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545039147.740 * [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))) 1545039147.741 * [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)))) 1545039147.741 * [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))))) 1545039147.741 * [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)))))) 1545039147.742 * [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)))))) 1545039147.743 * [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)))))))) 1545039147.744 * [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))) 1545039147.744 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1545039147.744 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of k in n 1545039147.744 * [misc]backup-simplify: Simplify k into k 1545039147.744 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.744 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.744 * [misc]backup-simplify: Simplify -2 into -2 1545039147.744 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.744 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.744 * [misc]backup-simplify: Simplify PI into PI 1545039147.744 * [misc]taylor: Taking taylor expansion of n in n 1545039147.744 * [misc]backup-simplify: Simplify 0 into 0 1545039147.744 * [misc]backup-simplify: Simplify 1 into 1 1545039147.744 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.744 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.745 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.745 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.745 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.746 * [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))) 1545039147.746 * [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)))) 1545039147.746 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039147.746 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039147.746 * [misc]taylor: Taking taylor expansion of -1 in n 1545039147.746 * [misc]backup-simplify: Simplify -1 into -1 1545039147.746 * [misc]taylor: Taking taylor expansion of k in n 1545039147.746 * [misc]backup-simplify: Simplify k into k 1545039147.746 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039147.746 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039147.746 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039147.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039147.747 * [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))) 1545039147.747 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of k in k 1545039147.747 * [misc]backup-simplify: Simplify 0 into 0 1545039147.747 * [misc]backup-simplify: Simplify 1 into 1 1545039147.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.747 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.747 * [misc]backup-simplify: Simplify -2 into -2 1545039147.747 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.747 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.747 * [misc]backup-simplify: Simplify PI into PI 1545039147.747 * [misc]taylor: Taking taylor expansion of n in k 1545039147.747 * [misc]backup-simplify: Simplify n into n 1545039147.747 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.747 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039147.747 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039147.747 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.748 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.748 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039147.748 * [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))) 1545039147.748 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039147.748 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039147.748 * [misc]taylor: Taking taylor expansion of -1 in k 1545039147.748 * [misc]backup-simplify: Simplify -1 into -1 1545039147.748 * [misc]taylor: Taking taylor expansion of k in k 1545039147.748 * [misc]backup-simplify: Simplify 0 into 0 1545039147.748 * [misc]backup-simplify: Simplify 1 into 1 1545039147.748 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039147.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.748 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039147.749 * [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)))) 1545039147.749 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of k in k 1545039147.749 * [misc]backup-simplify: Simplify 0 into 0 1545039147.749 * [misc]backup-simplify: Simplify 1 into 1 1545039147.749 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039147.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039147.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.749 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of -2 in k 1545039147.749 * [misc]backup-simplify: Simplify -2 into -2 1545039147.749 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545039147.749 * [misc]taylor: Taking taylor expansion of PI in k 1545039147.749 * [misc]backup-simplify: Simplify PI into PI 1545039147.749 * [misc]taylor: Taking taylor expansion of n in k 1545039147.749 * [misc]backup-simplify: Simplify n into n 1545039147.749 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545039147.749 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545039147.749 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545039147.749 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039147.749 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039147.749 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545039147.750 * [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))) 1545039147.750 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039147.750 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039147.750 * [misc]taylor: Taking taylor expansion of -1 in k 1545039147.750 * [misc]backup-simplify: Simplify -1 into -1 1545039147.750 * [misc]taylor: Taking taylor expansion of k in k 1545039147.750 * [misc]backup-simplify: Simplify 0 into 0 1545039147.750 * [misc]backup-simplify: Simplify 1 into 1 1545039147.750 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039147.750 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039147.750 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039147.750 * [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)))) 1545039147.750 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.750 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.750 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.750 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.750 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.750 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.750 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.750 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.750 * [misc]backup-simplify: Simplify -2 into -2 1545039147.751 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.751 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.751 * [misc]backup-simplify: Simplify PI into PI 1545039147.751 * [misc]taylor: Taking taylor expansion of n in n 1545039147.751 * [misc]backup-simplify: Simplify 0 into 0 1545039147.751 * [misc]backup-simplify: Simplify 1 into 1 1545039147.751 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.751 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.751 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.751 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.751 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.751 * [misc]taylor: Taking taylor expansion of k in n 1545039147.751 * [misc]backup-simplify: Simplify k into k 1545039147.751 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.752 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.752 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.752 * [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))) 1545039147.753 * [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)))) 1545039147.753 * [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))))) 1545039147.753 * [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))))) 1545039147.754 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039147.754 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039147.755 * [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))))) 1545039147.755 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.755 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.755 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.755 * [misc]backup-simplify: Simplify -2 into -2 1545039147.755 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.755 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.755 * [misc]backup-simplify: Simplify PI into PI 1545039147.755 * [misc]taylor: Taking taylor expansion of n in n 1545039147.755 * [misc]backup-simplify: Simplify 0 into 0 1545039147.755 * [misc]backup-simplify: Simplify 1 into 1 1545039147.755 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.755 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.756 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.756 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.756 * [misc]taylor: Taking taylor expansion of k in n 1545039147.756 * [misc]backup-simplify: Simplify k into k 1545039147.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.756 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.757 * [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))) 1545039147.757 * [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)))) 1545039147.757 * [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))))) 1545039147.758 * [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)))))) 1545039147.758 * [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)))))) 1545039147.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039147.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039147.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039147.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545039147.760 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545039147.762 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545039147.762 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545039147.763 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039147.764 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545039147.764 * [misc]backup-simplify: Simplify 0 into 0 1545039147.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039147.765 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039147.766 * [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))))) 1545039147.766 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039147.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039147.766 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of -2 in n 1545039147.766 * [misc]backup-simplify: Simplify -2 into -2 1545039147.766 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of PI in n 1545039147.766 * [misc]backup-simplify: Simplify PI into PI 1545039147.766 * [misc]taylor: Taking taylor expansion of n in n 1545039147.766 * [misc]backup-simplify: Simplify 0 into 0 1545039147.766 * [misc]backup-simplify: Simplify 1 into 1 1545039147.766 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545039147.766 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545039147.766 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545039147.766 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039147.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039147.767 * [misc]taylor: Taking taylor expansion of k in n 1545039147.767 * [misc]backup-simplify: Simplify k into k 1545039147.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039147.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039147.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039147.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545039147.767 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039147.767 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039147.768 * [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))) 1545039147.768 * [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)))) 1545039147.768 * [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))))) 1545039147.769 * [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)))))) 1545039147.769 * [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)))))) 1545039147.771 * [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))))))))))) 1545039147.771 * * * [misc]progress: simplifying candidates 1545039147.771 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1545039147.771 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545039147.771 * * [misc]simplify: iters left: 6 (11 enodes) 1545039147.773 * * [misc]simplify: iters left: 5 (21 enodes) 1545039147.777 * * [misc]simplify: iters left: 4 (47 enodes) 1545039147.793 * * [misc]simplify: iters left: 3 (109 enodes) 1545039147.844 * * [misc]simplify: iters left: 2 (300 enodes) 1545039148.005 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545039148.005 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1545039148.005 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1545039148.005 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1545039148.005 * [enter]simplify: Simplifying (* PI (* n 2)) 1545039148.005 * * [misc]simplify: iters left: 4 (5 enodes) 1545039148.006 * * [misc]simplify: iters left: 3 (9 enodes) 1545039148.007 * * [misc]simplify: iters left: 2 (15 enodes) 1545039148.009 * * [misc]simplify: iters left: 1 (17 enodes) 1545039148.011 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545039148.011 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1545039148.011 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1545039148.011 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545039148.011 * * [misc]simplify: iters left: 5 (8 enodes) 1545039148.013 * * [misc]simplify: iters left: 4 (12 enodes) 1545039148.014 * * [misc]simplify: iters left: 3 (18 enodes) 1545039148.017 * * [misc]simplify: iters left: 2 (20 enodes) 1545039148.019 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545039148.019 * [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)))))) 1545039148.019 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1545039148.019 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039148.019 * * [misc]simplify: iters left: 5 (6 enodes) 1545039148.020 * * [misc]simplify: iters left: 4 (8 enodes) 1545039148.021 * * [misc]simplify: iters left: 3 (11 enodes) 1545039148.023 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039148.023 * [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))))))) 1545039148.023 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1545039148.023 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039148.023 * * [misc]simplify: iters left: 5 (6 enodes) 1545039148.024 * * [misc]simplify: iters left: 4 (8 enodes) 1545039148.026 * * [misc]simplify: iters left: 3 (11 enodes) 1545039148.029 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039148.029 * [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))))))) 1545039148.029 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1545039148.029 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039148.029 * * [misc]simplify: iters left: 4 (5 enodes) 1545039148.030 * * [misc]simplify: iters left: 3 (7 enodes) 1545039148.032 * * [misc]simplify: iters left: 2 (10 enodes) 1545039148.034 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039148.034 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1545039148.034 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1545039148.034 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039148.035 * * [misc]simplify: iters left: 5 (9 enodes) 1545039148.037 * * [misc]simplify: iters left: 4 (15 enodes) 1545039148.040 * * [misc]simplify: iters left: 3 (21 enodes) 1545039148.045 * * [misc]simplify: iters left: 2 (22 enodes) 1545039148.050 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039148.050 * [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))))))) 1545039148.050 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1545039148.050 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039148.050 * * [misc]simplify: iters left: 5 (9 enodes) 1545039148.053 * * [misc]simplify: iters left: 4 (15 enodes) 1545039148.057 * * [misc]simplify: iters left: 3 (21 enodes) 1545039148.062 * * [misc]simplify: iters left: 2 (22 enodes) 1545039148.067 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039148.067 * [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))))))) 1545039148.067 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1545039148.068 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545039148.068 * * [misc]simplify: iters left: 5 (7 enodes) 1545039148.070 * * [misc]simplify: iters left: 4 (9 enodes) 1545039148.072 * * [misc]simplify: iters left: 3 (12 enodes) 1545039148.076 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545039148.076 * [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))))))) 1545039148.076 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1545039148.076 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1545039148.077 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1545039148.077 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545039148.077 * * [misc]simplify: iters left: 6 (14 enodes) 1545039148.082 * * [misc]simplify: iters left: 5 (26 enodes) 1545039148.090 * * [misc]simplify: iters left: 4 (59 enodes) 1545039148.117 * * [misc]simplify: iters left: 3 (164 enodes) 1545039148.172 * * [misc]simplify: iters left: 2 (488 enodes) 1545039148.484 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545039148.484 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545039148.484 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1545039148.484 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545039148.484 * * [misc]simplify: iters left: 6 (14 enodes) 1545039148.486 * * [misc]simplify: iters left: 5 (26 enodes) 1545039148.491 * * [misc]simplify: iters left: 4 (59 enodes) 1545039148.506 * * [misc]simplify: iters left: 3 (164 enodes) 1545039148.584 * * [misc]simplify: iters left: 2 (488 enodes) 1545039148.922 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545039148.922 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545039148.922 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1545039148.922 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039148.922 * * [misc]simplify: iters left: 6 (14 enodes) 1545039148.927 * * [misc]simplify: iters left: 5 (24 enodes) 1545039148.935 * * [misc]simplify: iters left: 4 (46 enodes) 1545039148.950 * * [misc]simplify: iters left: 3 (103 enodes) 1545039148.984 * * [misc]simplify: iters left: 2 (336 enodes) 1545039149.246 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545039149.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545039149.246 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1545039149.246 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1545039149.246 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1545039149.247 * [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))))) 1545039149.247 * * [misc]simplify: iters left: 6 (16 enodes) 1545039149.249 * * [misc]simplify: iters left: 5 (31 enodes) 1545039149.254 * * [misc]simplify: iters left: 4 (70 enodes) 1545039149.266 * * [misc]simplify: iters left: 3 (130 enodes) 1545039149.288 * * [misc]simplify: iters left: 2 (206 enodes) 1545039149.362 * * [misc]simplify: iters left: 1 (288 enodes) 1545039149.514 * [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))))) 1545039149.514 * [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)))))))) 1545039149.514 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1545039149.514 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1545039149.514 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1545039149.514 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1545039149.514 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1545039149.515 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545039149.515 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.517 * * [misc]simplify: iters left: 5 (19 enodes) 1545039149.519 * * [misc]simplify: iters left: 4 (27 enodes) 1545039149.523 * * [misc]simplify: iters left: 3 (29 enodes) 1545039149.526 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545039149.526 * [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))))))) 1545039149.526 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039149.526 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.528 * * [misc]simplify: iters left: 5 (18 enodes) 1545039149.530 * * [misc]simplify: iters left: 4 (24 enodes) 1545039149.533 * * [misc]simplify: iters left: 3 (25 enodes) 1545039149.537 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039149.538 * [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))))))) 1545039149.538 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1545039149.538 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545039149.538 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.542 * * [misc]simplify: iters left: 5 (19 enodes) 1545039149.547 * * [misc]simplify: iters left: 4 (27 enodes) 1545039149.554 * * [misc]simplify: iters left: 3 (29 enodes) 1545039149.561 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545039149.561 * [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))))))) 1545039149.562 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039149.562 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.565 * * [misc]simplify: iters left: 5 (18 enodes) 1545039149.569 * * [misc]simplify: iters left: 4 (24 enodes) 1545039149.572 * * [misc]simplify: iters left: 3 (25 enodes) 1545039149.575 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039149.575 * [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))))))) 1545039149.575 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1545039149.575 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545039149.575 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.576 * * [misc]simplify: iters left: 5 (15 enodes) 1545039149.579 * * [misc]simplify: iters left: 4 (20 enodes) 1545039149.581 * * [misc]simplify: iters left: 3 (21 enodes) 1545039149.584 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545039149.584 * [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))))))) 1545039149.584 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039149.584 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.586 * * [misc]simplify: iters left: 5 (14 enodes) 1545039149.587 * * [misc]simplify: iters left: 4 (17 enodes) 1545039149.590 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039149.590 * [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))))))) 1545039149.590 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1545039149.590 * [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)))))) 1545039149.590 * * [misc]simplify: iters left: 6 (16 enodes) 1545039149.592 * * [misc]simplify: iters left: 5 (28 enodes) 1545039149.598 * * [misc]simplify: iters left: 4 (46 enodes) 1545039149.611 * * [misc]simplify: iters left: 3 (50 enodes) 1545039149.623 * * [misc]simplify: iters left: 2 (53 enodes) 1545039149.637 * [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)))))) 1545039149.637 * [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)))))))) 1545039149.637 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.638 * * [misc]simplify: iters left: 6 (14 enodes) 1545039149.642 * * [misc]simplify: iters left: 5 (20 enodes) 1545039149.648 * * [misc]simplify: iters left: 4 (29 enodes) 1545039149.655 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.662 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.662 * [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)))))))) 1545039149.663 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1545039149.663 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.663 * * [misc]simplify: iters left: 6 (15 enodes) 1545039149.668 * * [misc]simplify: iters left: 5 (23 enodes) 1545039149.674 * * [misc]simplify: iters left: 4 (34 enodes) 1545039149.683 * * [misc]simplify: iters left: 3 (36 enodes) 1545039149.692 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.692 * [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)))))))) 1545039149.692 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.692 * * [misc]simplify: iters left: 6 (14 enodes) 1545039149.696 * * [misc]simplify: iters left: 5 (20 enodes) 1545039149.702 * * [misc]simplify: iters left: 4 (29 enodes) 1545039149.708 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.715 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.715 * [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)))))))) 1545039149.715 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1545039149.716 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545039149.716 * * [misc]simplify: iters left: 6 (6 enodes) 1545039149.717 * * [misc]simplify: iters left: 5 (10 enodes) 1545039149.720 * * [misc]simplify: iters left: 4 (16 enodes) 1545039149.724 * * [misc]simplify: iters left: 3 (18 enodes) 1545039149.727 * * [misc]simplify: iters left: 2 (23 enodes) 1545039149.732 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039149.733 * [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))))))) 1545039149.733 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039149.733 * * [misc]simplify: iters left: 6 (13 enodes) 1545039149.737 * * [misc]simplify: iters left: 5 (19 enodes) 1545039149.742 * * [misc]simplify: iters left: 4 (28 enodes) 1545039149.750 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.758 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545039149.758 * [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))))))) 1545039149.758 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1545039149.759 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545039149.759 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.762 * * [misc]simplify: iters left: 5 (16 enodes) 1545039149.765 * * [misc]simplify: iters left: 4 (22 enodes) 1545039149.767 * * [misc]simplify: iters left: 3 (23 enodes) 1545039149.770 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545039149.770 * [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))))))) 1545039149.770 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039149.770 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.772 * * [misc]simplify: iters left: 5 (18 enodes) 1545039149.774 * * [misc]simplify: iters left: 4 (24 enodes) 1545039149.777 * * [misc]simplify: iters left: 3 (25 enodes) 1545039149.780 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039149.780 * [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))))))) 1545039149.780 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1545039149.780 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545039149.780 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.782 * * [misc]simplify: iters left: 5 (16 enodes) 1545039149.784 * * [misc]simplify: iters left: 4 (22 enodes) 1545039149.787 * * [misc]simplify: iters left: 3 (23 enodes) 1545039149.790 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545039149.790 * [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))))))) 1545039149.790 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039149.790 * * [misc]simplify: iters left: 6 (12 enodes) 1545039149.792 * * [misc]simplify: iters left: 5 (18 enodes) 1545039149.797 * * [misc]simplify: iters left: 4 (24 enodes) 1545039149.803 * * [misc]simplify: iters left: 3 (25 enodes) 1545039149.809 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039149.810 * [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))))))) 1545039149.810 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1545039149.810 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545039149.810 * * [misc]simplify: iters left: 6 (10 enodes) 1545039149.813 * * [misc]simplify: iters left: 5 (12 enodes) 1545039149.816 * * [misc]simplify: iters left: 4 (15 enodes) 1545039149.820 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545039149.820 * [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))))))) 1545039149.821 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039149.821 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.824 * * [misc]simplify: iters left: 5 (14 enodes) 1545039149.828 * * [misc]simplify: iters left: 4 (17 enodes) 1545039149.833 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039149.833 * [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))))))) 1545039149.833 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1545039149.833 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545039149.833 * * [misc]simplify: iters left: 6 (15 enodes) 1545039149.838 * * [misc]simplify: iters left: 5 (23 enodes) 1545039149.845 * * [misc]simplify: iters left: 4 (32 enodes) 1545039149.853 * * [misc]simplify: iters left: 3 (34 enodes) 1545039149.862 * [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)))))) 1545039149.862 * [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)))))))) 1545039149.863 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.863 * * [misc]simplify: iters left: 6 (14 enodes) 1545039149.867 * * [misc]simplify: iters left: 5 (20 enodes) 1545039149.873 * * [misc]simplify: iters left: 4 (29 enodes) 1545039149.882 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.889 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.889 * [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)))))))) 1545039149.889 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1545039149.890 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.890 * * [misc]simplify: iters left: 6 (14 enodes) 1545039149.894 * * [misc]simplify: iters left: 5 (20 enodes) 1545039149.900 * * [misc]simplify: iters left: 4 (29 enodes) 1545039149.907 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.915 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.915 * [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)))))))) 1545039149.915 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039149.915 * * [misc]simplify: iters left: 6 (14 enodes) 1545039149.919 * * [misc]simplify: iters left: 5 (20 enodes) 1545039149.925 * * [misc]simplify: iters left: 4 (29 enodes) 1545039149.932 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.939 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039149.939 * [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)))))))) 1545039149.939 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1545039149.940 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545039149.940 * * [misc]simplify: iters left: 4 (5 enodes) 1545039149.941 * * [misc]simplify: iters left: 3 (7 enodes) 1545039149.944 * * [misc]simplify: iters left: 2 (9 enodes) 1545039149.946 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039149.946 * [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))))))) 1545039149.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039149.946 * * [misc]simplify: iters left: 6 (13 enodes) 1545039149.950 * * [misc]simplify: iters left: 5 (19 enodes) 1545039149.955 * * [misc]simplify: iters left: 4 (28 enodes) 1545039149.963 * * [misc]simplify: iters left: 3 (30 enodes) 1545039149.971 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545039149.971 * [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))))))) 1545039149.971 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1545039149.971 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545039149.971 * * [misc]simplify: iters left: 6 (9 enodes) 1545039149.974 * * [misc]simplify: iters left: 5 (16 enodes) 1545039149.978 * * [misc]simplify: iters left: 4 (22 enodes) 1545039149.984 * * [misc]simplify: iters left: 3 (23 enodes) 1545039149.989 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545039149.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545039149.989 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039149.990 * * [misc]simplify: iters left: 6 (11 enodes) 1545039149.993 * * [misc]simplify: iters left: 5 (17 enodes) 1545039149.998 * * [misc]simplify: iters left: 4 (23 enodes) 1545039150.004 * * [misc]simplify: iters left: 3 (24 enodes) 1545039150.010 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545039150.010 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545039150.010 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1545039150.010 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545039150.010 * * [misc]simplify: iters left: 6 (9 enodes) 1545039150.013 * * [misc]simplify: iters left: 5 (16 enodes) 1545039150.017 * * [misc]simplify: iters left: 4 (22 enodes) 1545039150.023 * * [misc]simplify: iters left: 3 (23 enodes) 1545039150.030 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545039150.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545039150.030 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.030 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.033 * * [misc]simplify: iters left: 5 (17 enodes) 1545039150.038 * * [misc]simplify: iters left: 4 (23 enodes) 1545039150.044 * * [misc]simplify: iters left: 3 (24 enodes) 1545039150.050 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545039150.050 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545039150.050 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1545039150.051 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545039150.051 * * [misc]simplify: iters left: 6 (9 enodes) 1545039150.054 * * [misc]simplify: iters left: 5 (13 enodes) 1545039150.057 * * [misc]simplify: iters left: 4 (16 enodes) 1545039150.061 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545039150.061 * [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))))))) 1545039150.062 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.062 * * [misc]simplify: iters left: 6 (10 enodes) 1545039150.065 * * [misc]simplify: iters left: 5 (13 enodes) 1545039150.069 * * [misc]simplify: iters left: 4 (16 enodes) 1545039150.073 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.073 * [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))))))) 1545039150.073 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1545039150.073 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545039150.074 * * [misc]simplify: iters left: 6 (14 enodes) 1545039150.078 * * [misc]simplify: iters left: 5 (24 enodes) 1545039150.085 * * [misc]simplify: iters left: 4 (33 enodes) 1545039150.094 * * [misc]simplify: iters left: 3 (34 enodes) 1545039150.101 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1545039150.101 * [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)))))))) 1545039150.102 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.102 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.106 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.111 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.118 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.124 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.124 * [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)))))))) 1545039150.124 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1545039150.125 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.125 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.128 * * [misc]simplify: iters left: 5 (21 enodes) 1545039150.134 * * [misc]simplify: iters left: 4 (30 enodes) 1545039150.140 * * [misc]simplify: iters left: 3 (31 enodes) 1545039150.147 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1545039150.147 * [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)))))))) 1545039150.147 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.147 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.151 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.156 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.162 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.170 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.170 * [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)))))))) 1545039150.170 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1545039150.170 * [enter]simplify: Simplifying (/ 1 1) 1545039150.170 * * [misc]simplify: iters left: 2 (2 enodes) 1545039150.171 * * [misc]simplify: iters left: 1 (4 enodes) 1545039150.172 * [exit]simplify: Simplified to 1 1545039150.172 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545039150.172 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.172 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.175 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.180 * * [misc]simplify: iters left: 4 (27 enodes) 1545039150.186 * * [misc]simplify: iters left: 3 (29 enodes) 1545039150.192 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545039150.192 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1545039150.192 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1545039150.192 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1545039150.192 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1545039150.192 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039150.192 * * [misc]simplify: iters left: 5 (9 enodes) 1545039150.195 * * [misc]simplify: iters left: 4 (15 enodes) 1545039150.200 * * [misc]simplify: iters left: 3 (21 enodes) 1545039150.205 * * [misc]simplify: iters left: 2 (22 enodes) 1545039150.211 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039150.211 * [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)))))) 1545039150.211 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1545039150.211 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545039150.211 * * [misc]simplify: iters left: 5 (9 enodes) 1545039150.214 * * [misc]simplify: iters left: 4 (15 enodes) 1545039150.218 * * [misc]simplify: iters left: 3 (21 enodes) 1545039150.224 * * [misc]simplify: iters left: 2 (22 enodes) 1545039150.229 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545039150.229 * [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)))))) 1545039150.229 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1545039150.229 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545039150.229 * * [misc]simplify: iters left: 5 (8 enodes) 1545039150.232 * * [misc]simplify: iters left: 4 (11 enodes) 1545039150.235 * * [misc]simplify: iters left: 3 (14 enodes) 1545039150.238 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545039150.239 * [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)))))) 1545039150.239 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1545039150.239 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.239 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.242 * * [misc]simplify: iters left: 5 (17 enodes) 1545039150.247 * * [misc]simplify: iters left: 4 (26 enodes) 1545039150.253 * * [misc]simplify: iters left: 3 (27 enodes) 1545039150.257 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545039150.258 * [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))))))) 1545039150.258 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1545039150.258 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.258 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.260 * * [misc]simplify: iters left: 5 (17 enodes) 1545039150.262 * * [misc]simplify: iters left: 4 (26 enodes) 1545039150.266 * * [misc]simplify: iters left: 3 (27 enodes) 1545039150.269 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545039150.269 * [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))))))) 1545039150.269 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1545039150.269 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545039150.269 * * [misc]simplify: iters left: 5 (10 enodes) 1545039150.271 * * [misc]simplify: iters left: 4 (16 enodes) 1545039150.273 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.276 * * [misc]simplify: iters left: 2 (26 enodes) 1545039150.279 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545039150.279 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545039150.279 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1545039150.279 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039150.279 * * [misc]simplify: iters left: 4 (4 enodes) 1545039150.280 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039150.280 * [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)))))) 1545039150.280 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1545039150.280 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545039150.280 * * [misc]simplify: iters left: 2 (3 enodes) 1545039150.280 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039150.280 * [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)))))) 1545039150.280 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1545039150.280 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1545039150.281 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545039150.281 * * [misc]simplify: iters left: 5 (8 enodes) 1545039150.282 * * [misc]simplify: iters left: 4 (12 enodes) 1545039150.283 * * [misc]simplify: iters left: 3 (18 enodes) 1545039150.286 * * [misc]simplify: iters left: 2 (20 enodes) 1545039150.289 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545039150.289 * [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))))) 1545039150.289 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1545039150.289 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1545039150.289 * [enter]simplify: Simplifying (- 1) 1545039150.289 * * [misc]simplify: iters left: 2 (2 enodes) 1545039150.290 * * [misc]simplify: iters left: 1 (5 enodes) 1545039150.290 * [exit]simplify: Simplified to -1 1545039150.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1545039150.290 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1545039150.290 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1545039150.290 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1545039150.290 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1545039150.290 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1545039150.290 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1545039150.291 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1545039150.291 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.291 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.295 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.300 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.308 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.315 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.315 * [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))))))) 1545039150.316 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1545039150.316 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.316 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.320 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.322 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.326 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.329 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.329 * [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))))))) 1545039150.329 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1545039150.329 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.330 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.331 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.333 * * [misc]simplify: iters left: 4 (24 enodes) 1545039150.336 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.339 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039150.339 * [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)))))) 1545039150.339 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1545039150.340 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.340 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.341 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.344 * * [misc]simplify: iters left: 4 (24 enodes) 1545039150.347 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.349 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039150.349 * [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)))))) 1545039150.350 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1545039150.350 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.350 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.351 * * [misc]simplify: iters left: 5 (14 enodes) 1545039150.355 * * [misc]simplify: iters left: 4 (17 enodes) 1545039150.358 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.358 * [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)))))) 1545039150.359 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1545039150.359 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.359 * * [misc]simplify: iters left: 6 (14 enodes) 1545039150.363 * * [misc]simplify: iters left: 5 (20 enodes) 1545039150.368 * * [misc]simplify: iters left: 4 (29 enodes) 1545039150.374 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.380 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039150.380 * [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))))))) 1545039150.380 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1545039150.381 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.381 * * [misc]simplify: iters left: 6 (14 enodes) 1545039150.384 * * [misc]simplify: iters left: 5 (20 enodes) 1545039150.390 * * [misc]simplify: iters left: 4 (29 enodes) 1545039150.397 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.403 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039150.403 * [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))))))) 1545039150.403 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1545039150.403 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.403 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.407 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.411 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.415 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.419 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545039150.419 * [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)))))) 1545039150.419 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1545039150.419 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.419 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.421 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.423 * * [misc]simplify: iters left: 4 (24 enodes) 1545039150.426 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.429 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039150.429 * [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)))))) 1545039150.429 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1545039150.430 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.430 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.431 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.434 * * [misc]simplify: iters left: 4 (24 enodes) 1545039150.437 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.440 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545039150.440 * [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)))))) 1545039150.440 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1545039150.440 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.440 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.442 * * [misc]simplify: iters left: 5 (14 enodes) 1545039150.445 * * [misc]simplify: iters left: 4 (17 enodes) 1545039150.450 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.450 * [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)))))) 1545039150.450 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1545039150.450 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.451 * * [misc]simplify: iters left: 6 (14 enodes) 1545039150.455 * * [misc]simplify: iters left: 5 (20 enodes) 1545039150.461 * * [misc]simplify: iters left: 4 (29 enodes) 1545039150.469 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.477 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039150.477 * [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))))))) 1545039150.477 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1545039150.477 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.477 * * [misc]simplify: iters left: 6 (14 enodes) 1545039150.481 * * [misc]simplify: iters left: 5 (20 enodes) 1545039150.487 * * [misc]simplify: iters left: 4 (29 enodes) 1545039150.495 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.503 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545039150.503 * [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))))))) 1545039150.503 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1545039150.504 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.504 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.508 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.514 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.521 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.529 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545039150.529 * [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)))))) 1545039150.529 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1545039150.529 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.529 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.532 * * [misc]simplify: iters left: 5 (17 enodes) 1545039150.534 * * [misc]simplify: iters left: 4 (23 enodes) 1545039150.537 * * [misc]simplify: iters left: 3 (24 enodes) 1545039150.540 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545039150.540 * [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)))))) 1545039150.540 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1545039150.540 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545039150.540 * * [misc]simplify: iters left: 6 (11 enodes) 1545039150.542 * * [misc]simplify: iters left: 5 (17 enodes) 1545039150.544 * * [misc]simplify: iters left: 4 (23 enodes) 1545039150.547 * * [misc]simplify: iters left: 3 (24 enodes) 1545039150.549 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545039150.549 * [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)))))) 1545039150.549 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1545039150.550 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.550 * * [misc]simplify: iters left: 6 (10 enodes) 1545039150.551 * * [misc]simplify: iters left: 5 (13 enodes) 1545039150.553 * * [misc]simplify: iters left: 4 (16 enodes) 1545039150.555 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039150.555 * [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)))))) 1545039150.555 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1545039150.555 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.555 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.557 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.559 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.563 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.570 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.570 * [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))))))) 1545039150.570 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1545039150.570 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545039150.571 * * [misc]simplify: iters left: 6 (13 enodes) 1545039150.575 * * [misc]simplify: iters left: 5 (19 enodes) 1545039150.580 * * [misc]simplify: iters left: 4 (28 enodes) 1545039150.587 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.594 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545039150.594 * [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))))))) 1545039150.595 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1545039150.595 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.595 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.598 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.603 * * [misc]simplify: iters left: 4 (27 enodes) 1545039150.610 * * [misc]simplify: iters left: 3 (29 enodes) 1545039150.617 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545039150.617 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1545039150.617 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.617 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.620 * * [misc]simplify: iters left: 5 (18 enodes) 1545039150.626 * * [misc]simplify: iters left: 4 (27 enodes) 1545039150.633 * * [misc]simplify: iters left: 3 (29 enodes) 1545039150.640 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545039150.640 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1545039150.640 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545039150.640 * * [misc]simplify: iters left: 6 (12 enodes) 1545039150.642 * * [misc]simplify: iters left: 5 (20 enodes) 1545039150.644 * * [misc]simplify: iters left: 4 (29 enodes) 1545039150.648 * * [misc]simplify: iters left: 3 (30 enodes) 1545039150.651 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1545039150.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1545039150.652 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1545039150.652 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545039150.652 * * [misc]simplify: iters left: 5 (8 enodes) 1545039150.653 * * [misc]simplify: iters left: 4 (12 enodes) 1545039150.655 * * [misc]simplify: iters left: 3 (18 enodes) 1545039150.657 * * [misc]simplify: iters left: 2 (20 enodes) 1545039150.659 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545039150.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1545039150.660 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1545039150.660 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545039150.660 * * [misc]simplify: iters left: 5 (10 enodes) 1545039150.661 * * [misc]simplify: iters left: 4 (16 enodes) 1545039150.663 * * [misc]simplify: iters left: 3 (25 enodes) 1545039150.667 * * [misc]simplify: iters left: 2 (26 enodes) 1545039150.670 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545039150.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545039150.670 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1545039150.670 * [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))))) 1545039150.670 * * [misc]simplify: iters left: 6 (37 enodes) 1545039150.678 * * [misc]simplify: iters left: 5 (105 enodes) 1545039150.720 * * [misc]simplify: iters left: 4 (339 enodes) 1545039150.934 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545039150.934 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1545039150.934 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1545039150.934 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545039150.934 * * [misc]simplify: iters left: 6 (15 enodes) 1545039150.945 * * [misc]simplify: iters left: 5 (33 enodes) 1545039150.956 * * [misc]simplify: iters left: 4 (64 enodes) 1545039150.970 * * [misc]simplify: iters left: 3 (171 enodes) 1545039151.076 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545039151.076 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1545039151.076 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1545039151.076 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545039151.077 * * [misc]simplify: iters left: 6 (15 enodes) 1545039151.083 * * [misc]simplify: iters left: 5 (30 enodes) 1545039151.094 * * [misc]simplify: iters left: 4 (65 enodes) 1545039151.122 * * [misc]simplify: iters left: 3 (200 enodes) 1545039151.263 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545039151.263 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1545039151.263 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1545039151.263 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039151.263 * * [misc]simplify: iters left: 4 (5 enodes) 1545039151.265 * * [misc]simplify: iters left: 3 (9 enodes) 1545039151.268 * * [misc]simplify: iters left: 2 (15 enodes) 1545039151.271 * * [misc]simplify: iters left: 1 (17 enodes) 1545039151.275 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039151.275 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545039151.275 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1545039151.276 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039151.276 * * [misc]simplify: iters left: 4 (5 enodes) 1545039151.277 * * [misc]simplify: iters left: 3 (9 enodes) 1545039151.280 * * [misc]simplify: iters left: 2 (15 enodes) 1545039151.284 * * [misc]simplify: iters left: 1 (17 enodes) 1545039151.288 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039151.288 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545039151.288 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1545039151.288 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545039151.289 * * [misc]simplify: iters left: 4 (5 enodes) 1545039151.290 * * [misc]simplify: iters left: 3 (9 enodes) 1545039151.293 * * [misc]simplify: iters left: 2 (15 enodes) 1545039151.296 * * [misc]simplify: iters left: 1 (17 enodes) 1545039151.300 * [exit]simplify: Simplified to (* (* PI n) 2) 1545039151.300 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545039151.300 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1545039151.301 * [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))))))))))) 1545039151.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039151.301 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1545039151.301 * [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)))))))))))) 1545039151.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039151.301 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1545039151.301 * [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)))))))))))) 1545039151.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039151.302 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1545039151.302 * [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))))))))))))) 1545039151.302 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039151.302 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1545039151.302 * [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)))))))) 1545039151.302 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039151.302 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1545039151.302 * [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))))))))))) 1545039151.302 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545039151.303 * * * [misc]progress: adding candidates to table 1545039153.147 * * [misc]progress: iteration 3 / 4 1545039153.147 * * * [misc]progress: picking best candidate 1545039153.215 * * * * [misc]pick: Picked # 1545039153.215 * * * [misc]progress: localizing error 1545039153.255 * * * [misc]progress: generating rewritten candidates 1545039153.255 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1545039153.260 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) 1545039153.264 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1545039153.280 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545039153.302 * * * [misc]progress: generating series expansions 1545039153.302 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1545039153.302 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545039153.302 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545039153.302 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545039153.302 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545039153.302 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545039153.302 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.303 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.303 * [misc]taylor: Taking taylor expansion of k in k 1545039153.303 * [misc]backup-simplify: Simplify 0 into 0 1545039153.303 * [misc]backup-simplify: Simplify 1 into 1 1545039153.303 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545039153.303 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545039153.303 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.303 * [misc]backup-simplify: Simplify 2 into 2 1545039153.303 * [misc]taylor: Taking taylor expansion of n in k 1545039153.303 * [misc]backup-simplify: Simplify n into n 1545039153.303 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545039153.303 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545039153.303 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.304 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.304 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.304 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545039153.304 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545039153.304 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.304 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.304 * [misc]taylor: Taking taylor expansion of k in n 1545039153.304 * [misc]backup-simplify: Simplify k into k 1545039153.304 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.304 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.304 * [misc]backup-simplify: Simplify 2 into 2 1545039153.304 * [misc]taylor: Taking taylor expansion of n in n 1545039153.304 * [misc]backup-simplify: Simplify 0 into 0 1545039153.304 * [misc]backup-simplify: Simplify 1 into 1 1545039153.305 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.305 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.305 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.305 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039153.305 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039153.305 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039153.306 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.306 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545039153.306 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545039153.306 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545039153.306 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545039153.306 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545039153.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039153.306 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.307 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039153.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.307 * [misc]taylor: Taking taylor expansion of k in n 1545039153.307 * [misc]backup-simplify: Simplify k into k 1545039153.307 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.307 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.307 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.307 * [misc]backup-simplify: Simplify 2 into 2 1545039153.307 * [misc]taylor: Taking taylor expansion of n in n 1545039153.307 * [misc]backup-simplify: Simplify 0 into 0 1545039153.307 * [misc]backup-simplify: Simplify 1 into 1 1545039153.307 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.307 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.308 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.308 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039153.308 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039153.308 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039153.308 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.309 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545039153.309 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545039153.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545039153.309 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545039153.309 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545039153.309 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039153.309 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.309 * [misc]backup-simplify: Simplify 2 into 2 1545039153.310 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.310 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039153.310 * [misc]taylor: Taking taylor expansion of n in k 1545039153.310 * [misc]backup-simplify: Simplify n into n 1545039153.310 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039153.310 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.310 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.310 * [misc]taylor: Taking taylor expansion of k in k 1545039153.310 * [misc]backup-simplify: Simplify 0 into 0 1545039153.310 * [misc]backup-simplify: Simplify 1 into 1 1545039153.310 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545039153.310 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.310 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.311 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.311 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545039153.311 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545039153.311 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545039153.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.315 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545039153.315 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.315 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.316 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545039153.317 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.317 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.317 * [misc]backup-simplify: Simplify 0 into 0 1545039153.317 * [misc]backup-simplify: Simplify 0 into 0 1545039153.317 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039153.317 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.318 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.320 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.321 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039153.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.321 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545039153.322 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545039153.323 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545039153.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545039153.327 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545039153.327 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545039153.327 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.328 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.328 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545039153.330 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039153.330 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.330 * [misc]backup-simplify: Simplify 0 into 0 1545039153.331 * [misc]backup-simplify: Simplify 0 into 0 1545039153.331 * [misc]backup-simplify: Simplify 0 into 0 1545039153.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.331 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.336 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545039153.337 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039153.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.338 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545039153.339 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545039153.341 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545039153.344 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545039153.344 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.344 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545039153.344 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.344 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.344 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.344 * [misc]taylor: Taking taylor expansion of k in k 1545039153.344 * [misc]backup-simplify: Simplify 0 into 0 1545039153.344 * [misc]backup-simplify: Simplify 1 into 1 1545039153.345 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.345 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545039153.345 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545039153.345 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.345 * [misc]backup-simplify: Simplify 2 into 2 1545039153.345 * [misc]taylor: Taking taylor expansion of n in k 1545039153.345 * [misc]backup-simplify: Simplify n into n 1545039153.345 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545039153.345 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545039153.345 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.345 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.345 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.346 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545039153.346 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.346 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of k in n 1545039153.346 * [misc]backup-simplify: Simplify k into k 1545039153.346 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.346 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.346 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.346 * [misc]backup-simplify: Simplify 2 into 2 1545039153.346 * [misc]taylor: Taking taylor expansion of n in n 1545039153.346 * [misc]backup-simplify: Simplify 0 into 0 1545039153.346 * [misc]backup-simplify: Simplify 1 into 1 1545039153.347 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.347 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.347 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.347 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.347 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.347 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.348 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.348 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.348 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.348 * [misc]taylor: Taking taylor expansion of k in n 1545039153.348 * [misc]backup-simplify: Simplify k into k 1545039153.348 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.348 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.349 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.349 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.349 * [misc]backup-simplify: Simplify 2 into 2 1545039153.349 * [misc]taylor: Taking taylor expansion of n in n 1545039153.349 * [misc]backup-simplify: Simplify 0 into 0 1545039153.349 * [misc]backup-simplify: Simplify 1 into 1 1545039153.349 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.349 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.349 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.349 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.349 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.350 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.350 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.350 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545039153.350 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545039153.350 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.350 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.351 * [misc]taylor: Taking taylor expansion of k in k 1545039153.351 * [misc]backup-simplify: Simplify 0 into 0 1545039153.351 * [misc]backup-simplify: Simplify 1 into 1 1545039153.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.351 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545039153.351 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039153.351 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.351 * [misc]backup-simplify: Simplify 2 into 2 1545039153.351 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.351 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039153.351 * [misc]taylor: Taking taylor expansion of n in k 1545039153.351 * [misc]backup-simplify: Simplify n into n 1545039153.351 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039153.352 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.352 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.352 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.352 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039153.352 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545039153.352 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545039153.353 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.353 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.353 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545039153.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.356 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.356 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.357 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.357 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.357 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545039153.358 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.358 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.358 * [misc]backup-simplify: Simplify 0 into 0 1545039153.359 * [misc]backup-simplify: Simplify 0 into 0 1545039153.359 * [misc]backup-simplify: Simplify 0 into 0 1545039153.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.364 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545039153.364 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039153.364 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039153.364 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.364 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.365 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.365 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545039153.367 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039153.367 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.367 * [misc]backup-simplify: Simplify 0 into 0 1545039153.367 * [misc]backup-simplify: Simplify 0 into 0 1545039153.367 * [misc]backup-simplify: Simplify 0 into 0 1545039153.368 * [misc]backup-simplify: Simplify 0 into 0 1545039153.368 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.375 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545039153.375 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039153.375 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039153.376 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.376 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.376 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.377 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545039153.380 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545039153.380 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.380 * [misc]backup-simplify: Simplify 0 into 0 1545039153.380 * [misc]backup-simplify: Simplify 0 into 0 1545039153.380 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545039153.381 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.381 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545039153.381 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of k in k 1545039153.381 * [misc]backup-simplify: Simplify 0 into 0 1545039153.381 * [misc]backup-simplify: Simplify 1 into 1 1545039153.381 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.381 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545039153.381 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.381 * [misc]backup-simplify: Simplify -2 into -2 1545039153.381 * [misc]taylor: Taking taylor expansion of n in k 1545039153.381 * [misc]backup-simplify: Simplify n into n 1545039153.382 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545039153.382 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545039153.382 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.382 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.382 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545039153.382 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.382 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.382 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.382 * [misc]taylor: Taking taylor expansion of k in n 1545039153.383 * [misc]backup-simplify: Simplify k into k 1545039153.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.383 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.383 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.383 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.383 * [misc]backup-simplify: Simplify -2 into -2 1545039153.383 * [misc]taylor: Taking taylor expansion of n in n 1545039153.383 * [misc]backup-simplify: Simplify 0 into 0 1545039153.383 * [misc]backup-simplify: Simplify 1 into 1 1545039153.383 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.383 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.383 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.383 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.384 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.384 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.384 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.384 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.384 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.384 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.384 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.385 * [misc]taylor: Taking taylor expansion of k in n 1545039153.385 * [misc]backup-simplify: Simplify k into k 1545039153.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.385 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.385 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.385 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.385 * [misc]backup-simplify: Simplify -2 into -2 1545039153.385 * [misc]taylor: Taking taylor expansion of n in n 1545039153.385 * [misc]backup-simplify: Simplify 0 into 0 1545039153.385 * [misc]backup-simplify: Simplify 1 into 1 1545039153.385 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.385 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.385 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.385 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.386 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.386 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.386 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.386 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545039153.386 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of k in k 1545039153.387 * [misc]backup-simplify: Simplify 0 into 0 1545039153.387 * [misc]backup-simplify: Simplify 1 into 1 1545039153.387 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.387 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.387 * [misc]backup-simplify: Simplify -2 into -2 1545039153.387 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.387 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039153.387 * [misc]taylor: Taking taylor expansion of n in k 1545039153.387 * [misc]backup-simplify: Simplify n into n 1545039153.387 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039153.388 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.388 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.388 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039153.388 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545039153.388 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545039153.389 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.389 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545039153.392 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545039153.392 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.393 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545039153.394 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.394 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.394 * [misc]backup-simplify: Simplify 0 into 0 1545039153.394 * [misc]backup-simplify: Simplify 0 into 0 1545039153.394 * [misc]backup-simplify: Simplify 0 into 0 1545039153.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.399 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545039153.399 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039153.400 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039153.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.400 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.400 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545039153.403 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039153.403 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.403 * [misc]backup-simplify: Simplify 0 into 0 1545039153.403 * [misc]backup-simplify: Simplify 0 into 0 1545039153.403 * [misc]backup-simplify: Simplify 0 into 0 1545039153.403 * [misc]backup-simplify: Simplify 0 into 0 1545039153.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.410 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545039153.410 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039153.411 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039153.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.411 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.412 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545039153.416 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545039153.416 * [misc]taylor: Taking taylor expansion of 0 in k 1545039153.416 * [misc]backup-simplify: Simplify 0 into 0 1545039153.416 * [misc]backup-simplify: Simplify 0 into 0 1545039153.416 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545039153.416 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) 1545039153.416 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545039153.416 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545039153.417 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.417 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.417 * [misc]taylor: Taking taylor expansion of k in k 1545039153.417 * [misc]backup-simplify: Simplify 0 into 0 1545039153.417 * [misc]backup-simplify: Simplify 1 into 1 1545039153.417 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.417 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.417 * [misc]backup-simplify: Simplify PI into PI 1545039153.417 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.417 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.418 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.418 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.418 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.419 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039153.419 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.419 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.419 * [misc]taylor: Taking taylor expansion of k in k 1545039153.419 * [misc]backup-simplify: Simplify 0 into 0 1545039153.419 * [misc]backup-simplify: Simplify 1 into 1 1545039153.419 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.419 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.419 * [misc]backup-simplify: Simplify PI into PI 1545039153.420 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.420 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.420 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.420 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.421 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.421 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039153.422 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545039153.424 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039153.424 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039153.424 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.424 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545039153.428 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039153.429 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039153.433 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545039153.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.433 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545039153.437 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039153.439 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039153.442 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545039153.442 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.442 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545039153.442 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.442 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.442 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of k in k 1545039153.442 * [misc]backup-simplify: Simplify 0 into 0 1545039153.442 * [misc]backup-simplify: Simplify 1 into 1 1545039153.442 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.442 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.442 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.442 * [misc]backup-simplify: Simplify PI into PI 1545039153.443 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.443 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.443 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.443 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.444 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039153.444 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.444 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.444 * [misc]taylor: Taking taylor expansion of k in k 1545039153.444 * [misc]backup-simplify: Simplify 0 into 0 1545039153.445 * [misc]backup-simplify: Simplify 1 into 1 1545039153.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.445 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.445 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.445 * [misc]backup-simplify: Simplify PI into PI 1545039153.445 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.445 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.445 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.445 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.446 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039153.446 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.446 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545039153.447 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.447 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545039153.447 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.447 * [misc]taylor: Taking taylor expansion of k in k 1545039153.447 * [misc]backup-simplify: Simplify 0 into 0 1545039153.447 * [misc]backup-simplify: Simplify 1 into 1 1545039153.448 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.448 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.448 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.448 * [misc]backup-simplify: Simplify PI into PI 1545039153.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.448 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.448 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.449 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.449 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.449 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.449 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039153.449 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039153.449 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.449 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.450 * [misc]taylor: Taking taylor expansion of k in k 1545039153.450 * [misc]backup-simplify: Simplify 0 into 0 1545039153.450 * [misc]backup-simplify: Simplify 1 into 1 1545039153.450 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.450 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.450 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.450 * [misc]backup-simplify: Simplify PI into PI 1545039153.450 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.450 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.450 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.451 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.451 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.452 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify 0 into 0 1545039153.452 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545039153.452 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1545039153.452 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545039153.452 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545039153.452 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039153.452 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.453 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039153.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.453 * [misc]taylor: Taking taylor expansion of k in n 1545039153.453 * [misc]backup-simplify: Simplify k into k 1545039153.453 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.453 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.453 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.453 * [misc]backup-simplify: Simplify 2 into 2 1545039153.453 * [misc]taylor: Taking taylor expansion of n in n 1545039153.453 * [misc]backup-simplify: Simplify 0 into 0 1545039153.453 * [misc]backup-simplify: Simplify 1 into 1 1545039153.453 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.453 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.453 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.453 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039153.454 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039153.454 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039153.454 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.454 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545039153.455 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545039153.455 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545039153.455 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039153.455 * [misc]taylor: Taking taylor expansion of k in n 1545039153.455 * [misc]backup-simplify: Simplify k into k 1545039153.455 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039153.455 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039153.455 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.455 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.456 * [misc]taylor: Taking taylor expansion of k in k 1545039153.456 * [misc]backup-simplify: Simplify 0 into 0 1545039153.456 * [misc]backup-simplify: Simplify 1 into 1 1545039153.456 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545039153.456 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545039153.456 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.456 * [misc]backup-simplify: Simplify 2 into 2 1545039153.456 * [misc]taylor: Taking taylor expansion of n in k 1545039153.456 * [misc]backup-simplify: Simplify n into n 1545039153.456 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545039153.456 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545039153.456 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.456 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.456 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.456 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545039153.457 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545039153.457 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545039153.457 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039153.457 * [misc]taylor: Taking taylor expansion of k in k 1545039153.457 * [misc]backup-simplify: Simplify 0 into 0 1545039153.457 * [misc]backup-simplify: Simplify 1 into 1 1545039153.457 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.458 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.458 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.458 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.458 * [misc]taylor: Taking taylor expansion of k in k 1545039153.458 * [misc]backup-simplify: Simplify 0 into 0 1545039153.458 * [misc]backup-simplify: Simplify 1 into 1 1545039153.458 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545039153.458 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.458 * [misc]backup-simplify: Simplify 2 into 2 1545039153.458 * [misc]taylor: Taking taylor expansion of n in k 1545039153.458 * [misc]backup-simplify: Simplify n into n 1545039153.458 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545039153.458 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545039153.458 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.459 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.459 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.459 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545039153.459 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545039153.459 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545039153.459 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039153.459 * [misc]taylor: Taking taylor expansion of k in k 1545039153.459 * [misc]backup-simplify: Simplify 0 into 0 1545039153.459 * [misc]backup-simplify: Simplify 1 into 1 1545039153.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.460 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.460 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545039153.460 * [misc]taylor: Taking taylor expansion of 0 in n 1545039153.460 * [misc]backup-simplify: Simplify 0 into 0 1545039153.460 * [misc]backup-simplify: Simplify 0 into 0 1545039153.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545039153.461 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545039153.461 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039153.461 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.462 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545039153.462 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545039153.463 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545039153.464 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545039153.464 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545039153.464 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545039153.464 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.464 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.464 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545039153.464 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545039153.464 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039153.464 * [misc]taylor: Taking taylor expansion of n in n 1545039153.464 * [misc]backup-simplify: Simplify 0 into 0 1545039153.464 * [misc]backup-simplify: Simplify 1 into 1 1545039153.464 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.464 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.465 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.465 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039153.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.465 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039153.465 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039153.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.466 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545039153.467 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545039153.468 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.469 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.469 * [misc]backup-simplify: Simplify 0 into 0 1545039153.470 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.470 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545039153.472 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545039153.472 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.472 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.473 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.473 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545039153.474 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545039153.477 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545039153.480 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545039153.480 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545039153.480 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.481 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.481 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.481 * [misc]backup-simplify: Simplify 2 into 2 1545039153.481 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039153.481 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039153.481 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.481 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.481 * [misc]backup-simplify: Simplify 2 into 2 1545039153.481 * [misc]taylor: Taking taylor expansion of n in n 1545039153.481 * [misc]backup-simplify: Simplify 0 into 0 1545039153.481 * [misc]backup-simplify: Simplify 1 into 1 1545039153.482 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.482 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.482 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.482 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545039153.482 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039153.482 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.482 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039153.483 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039153.483 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545039153.483 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039153.483 * [misc]taylor: Taking taylor expansion of n in n 1545039153.483 * [misc]backup-simplify: Simplify 0 into 0 1545039153.483 * [misc]backup-simplify: Simplify 1 into 1 1545039153.483 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.483 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.484 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.484 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545039153.484 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545039153.484 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.484 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.484 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545039153.484 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545039153.484 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039153.484 * [misc]taylor: Taking taylor expansion of n in n 1545039153.484 * [misc]backup-simplify: Simplify 0 into 0 1545039153.484 * [misc]backup-simplify: Simplify 1 into 1 1545039153.484 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.484 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.485 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.485 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545039153.485 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.485 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545039153.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545039153.486 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.486 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545039153.487 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545039153.488 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545039153.488 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.488 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545039153.489 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.492 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545039153.493 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545039153.494 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545039153.496 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545039153.499 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545039153.500 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.500 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545039153.501 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545039153.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.505 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545039153.509 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545039153.512 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545039153.513 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545039153.513 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039153.514 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.517 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.517 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.518 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545039153.523 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545039153.524 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545039153.524 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545039153.524 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of k in n 1545039153.524 * [misc]backup-simplify: Simplify k into k 1545039153.524 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.524 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.524 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.524 * [misc]backup-simplify: Simplify 2 into 2 1545039153.524 * [misc]taylor: Taking taylor expansion of n in n 1545039153.524 * [misc]backup-simplify: Simplify 0 into 0 1545039153.525 * [misc]backup-simplify: Simplify 1 into 1 1545039153.525 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.525 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.525 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.525 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.526 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.526 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.527 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.527 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039153.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.527 * [misc]taylor: Taking taylor expansion of k in n 1545039153.527 * [misc]backup-simplify: Simplify k into k 1545039153.527 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.527 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039153.527 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.527 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039153.527 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.527 * [misc]taylor: Taking taylor expansion of k in k 1545039153.528 * [misc]backup-simplify: Simplify 0 into 0 1545039153.528 * [misc]backup-simplify: Simplify 1 into 1 1545039153.528 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.528 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545039153.528 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545039153.528 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.528 * [misc]backup-simplify: Simplify 2 into 2 1545039153.528 * [misc]taylor: Taking taylor expansion of n in k 1545039153.528 * [misc]backup-simplify: Simplify n into n 1545039153.528 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545039153.528 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545039153.528 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.528 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.528 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.529 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545039153.529 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.529 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039153.529 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039153.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.529 * [misc]taylor: Taking taylor expansion of k in k 1545039153.529 * [misc]backup-simplify: Simplify 0 into 0 1545039153.529 * [misc]backup-simplify: Simplify 1 into 1 1545039153.529 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.529 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.530 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.530 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.530 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.530 * [misc]taylor: Taking taylor expansion of k in k 1545039153.531 * [misc]backup-simplify: Simplify 0 into 0 1545039153.531 * [misc]backup-simplify: Simplify 1 into 1 1545039153.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.531 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545039153.531 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545039153.531 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.531 * [misc]backup-simplify: Simplify 2 into 2 1545039153.531 * [misc]taylor: Taking taylor expansion of n in k 1545039153.531 * [misc]backup-simplify: Simplify n into n 1545039153.531 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545039153.531 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545039153.531 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.531 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.531 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.532 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545039153.532 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.532 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039153.532 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039153.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.532 * [misc]taylor: Taking taylor expansion of k in k 1545039153.532 * [misc]backup-simplify: Simplify 0 into 0 1545039153.532 * [misc]backup-simplify: Simplify 1 into 1 1545039153.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.532 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.533 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.533 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545039153.533 * [misc]taylor: Taking taylor expansion of 0 in n 1545039153.533 * [misc]backup-simplify: Simplify 0 into 0 1545039153.533 * [misc]backup-simplify: Simplify 0 into 0 1545039153.534 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039153.534 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545039153.534 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.534 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.534 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.534 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.534 * [misc]taylor: Taking taylor expansion of k in n 1545039153.534 * [misc]backup-simplify: Simplify k into k 1545039153.535 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.535 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.535 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.535 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.535 * [misc]backup-simplify: Simplify 2 into 2 1545039153.535 * [misc]taylor: Taking taylor expansion of n in n 1545039153.535 * [misc]backup-simplify: Simplify 0 into 0 1545039153.535 * [misc]backup-simplify: Simplify 1 into 1 1545039153.535 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.535 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.535 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.535 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.535 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.536 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.536 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.537 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.537 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.538 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.538 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.538 * [misc]backup-simplify: Simplify 0 into 0 1545039153.538 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039153.539 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039153.540 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545039153.540 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.540 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.541 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.541 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of k in n 1545039153.541 * [misc]backup-simplify: Simplify k into k 1545039153.541 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.541 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.541 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.541 * [misc]backup-simplify: Simplify 2 into 2 1545039153.541 * [misc]taylor: Taking taylor expansion of n in n 1545039153.541 * [misc]backup-simplify: Simplify 0 into 0 1545039153.541 * [misc]backup-simplify: Simplify 1 into 1 1545039153.541 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.542 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.542 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.542 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.542 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.543 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.543 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.543 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.544 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.544 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.544 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.545 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545039153.547 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.548 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.548 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.549 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545039153.550 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.550 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545039153.551 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545039153.551 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.551 * [misc]backup-simplify: Simplify 0 into 0 1545039153.551 * [misc]backup-simplify: Simplify 0 into 0 1545039153.551 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.552 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039153.553 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039153.554 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545039153.554 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.554 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.554 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of k in n 1545039153.554 * [misc]backup-simplify: Simplify k into k 1545039153.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.554 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.554 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.554 * [misc]backup-simplify: Simplify 2 into 2 1545039153.554 * [misc]taylor: Taking taylor expansion of n in n 1545039153.554 * [misc]backup-simplify: Simplify 0 into 0 1545039153.554 * [misc]backup-simplify: Simplify 1 into 1 1545039153.554 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.555 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.555 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.555 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.556 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.556 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.556 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.557 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.557 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545039153.558 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545039153.559 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.559 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545039153.559 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of -1 in n 1545039153.559 * [misc]backup-simplify: Simplify -1 into -1 1545039153.559 * [misc]taylor: Taking taylor expansion of k in n 1545039153.559 * [misc]backup-simplify: Simplify k into k 1545039153.559 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039153.559 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039153.559 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039153.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039153.559 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.559 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.560 * [misc]taylor: Taking taylor expansion of k in n 1545039153.560 * [misc]backup-simplify: Simplify k into k 1545039153.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.560 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.560 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.560 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.560 * [misc]backup-simplify: Simplify -2 into -2 1545039153.560 * [misc]taylor: Taking taylor expansion of n in n 1545039153.560 * [misc]backup-simplify: Simplify 0 into 0 1545039153.560 * [misc]backup-simplify: Simplify 1 into 1 1545039153.560 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.560 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.560 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.560 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.561 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.561 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.562 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.562 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039153.562 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039153.562 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039153.562 * [misc]taylor: Taking taylor expansion of -1 in k 1545039153.562 * [misc]backup-simplify: Simplify -1 into -1 1545039153.562 * [misc]taylor: Taking taylor expansion of k in k 1545039153.562 * [misc]backup-simplify: Simplify 0 into 0 1545039153.562 * [misc]backup-simplify: Simplify 1 into 1 1545039153.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039153.562 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.563 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039153.563 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of k in k 1545039153.563 * [misc]backup-simplify: Simplify 0 into 0 1545039153.563 * [misc]backup-simplify: Simplify 1 into 1 1545039153.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545039153.563 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.563 * [misc]backup-simplify: Simplify -2 into -2 1545039153.563 * [misc]taylor: Taking taylor expansion of n in k 1545039153.563 * [misc]backup-simplify: Simplify n into n 1545039153.563 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545039153.563 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545039153.563 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.564 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.564 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545039153.564 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.564 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.564 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039153.564 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039153.564 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039153.564 * [misc]taylor: Taking taylor expansion of -1 in k 1545039153.564 * [misc]backup-simplify: Simplify -1 into -1 1545039153.564 * [misc]taylor: Taking taylor expansion of k in k 1545039153.564 * [misc]backup-simplify: Simplify 0 into 0 1545039153.564 * [misc]backup-simplify: Simplify 1 into 1 1545039153.564 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039153.564 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.565 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039153.565 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of k in k 1545039153.565 * [misc]backup-simplify: Simplify 0 into 0 1545039153.565 * [misc]backup-simplify: Simplify 1 into 1 1545039153.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.565 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545039153.565 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.565 * [misc]backup-simplify: Simplify -2 into -2 1545039153.565 * [misc]taylor: Taking taylor expansion of n in k 1545039153.565 * [misc]backup-simplify: Simplify n into n 1545039153.566 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545039153.566 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545039153.566 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.566 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545039153.566 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.566 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.566 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.566 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.566 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.566 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of k in n 1545039153.567 * [misc]backup-simplify: Simplify k into k 1545039153.567 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.567 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.567 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.567 * [misc]backup-simplify: Simplify -2 into -2 1545039153.567 * [misc]taylor: Taking taylor expansion of n in n 1545039153.567 * [misc]backup-simplify: Simplify 0 into 0 1545039153.567 * [misc]backup-simplify: Simplify 1 into 1 1545039153.567 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.567 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.567 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.568 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.569 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.569 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.569 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039153.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.571 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039153.571 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.571 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of k in n 1545039153.571 * [misc]backup-simplify: Simplify k into k 1545039153.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.571 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.571 * [misc]backup-simplify: Simplify -2 into -2 1545039153.571 * [misc]taylor: Taking taylor expansion of n in n 1545039153.571 * [misc]backup-simplify: Simplify 0 into 0 1545039153.571 * [misc]backup-simplify: Simplify 1 into 1 1545039153.572 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.572 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.573 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.573 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.574 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.574 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.575 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545039153.575 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545039153.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545039153.578 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545039153.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545039153.581 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.582 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545039153.582 * [misc]backup-simplify: Simplify 0 into 0 1545039153.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.584 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039153.584 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039153.584 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.585 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.585 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of k in n 1545039153.585 * [misc]backup-simplify: Simplify k into k 1545039153.585 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.585 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.585 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.585 * [misc]backup-simplify: Simplify -2 into -2 1545039153.585 * [misc]taylor: Taking taylor expansion of n in n 1545039153.585 * [misc]backup-simplify: Simplify 0 into 0 1545039153.585 * [misc]backup-simplify: Simplify 1 into 1 1545039153.585 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.586 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.586 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.586 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.588 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.588 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.588 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.589 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545039153.589 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545039153.589 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545039153.591 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545039153.591 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545039153.592 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1545039153.592 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1545039153.592 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.592 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.592 * [misc]taylor: Taking taylor expansion of k in n 1545039153.592 * [misc]backup-simplify: Simplify k into k 1545039153.592 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.592 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.592 * [misc]backup-simplify: Simplify 2 into 2 1545039153.592 * [misc]taylor: Taking taylor expansion of n in n 1545039153.592 * [misc]backup-simplify: Simplify 0 into 0 1545039153.592 * [misc]backup-simplify: Simplify 1 into 1 1545039153.592 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.593 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.593 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039153.593 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039153.593 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039153.593 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.594 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545039153.594 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545039153.594 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.594 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.594 * [misc]taylor: Taking taylor expansion of k in n 1545039153.594 * [misc]backup-simplify: Simplify k into k 1545039153.594 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.594 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.594 * [misc]backup-simplify: Simplify PI into PI 1545039153.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.595 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039153.595 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039153.595 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039153.595 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545039153.596 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545039153.596 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545039153.597 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545039153.597 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039153.597 * [misc]taylor: Taking taylor expansion of k in n 1545039153.597 * [misc]backup-simplify: Simplify k into k 1545039153.597 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039153.597 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039153.597 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.597 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.597 * [misc]taylor: Taking taylor expansion of k in k 1545039153.597 * [misc]backup-simplify: Simplify 0 into 0 1545039153.597 * [misc]backup-simplify: Simplify 1 into 1 1545039153.597 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545039153.597 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.597 * [misc]backup-simplify: Simplify 2 into 2 1545039153.597 * [misc]taylor: Taking taylor expansion of n in k 1545039153.597 * [misc]backup-simplify: Simplify n into n 1545039153.598 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545039153.598 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545039153.598 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.598 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.598 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.598 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545039153.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545039153.598 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039153.598 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039153.598 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039153.598 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.598 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.599 * [misc]taylor: Taking taylor expansion of k in k 1545039153.599 * [misc]backup-simplify: Simplify 0 into 0 1545039153.599 * [misc]backup-simplify: Simplify 1 into 1 1545039153.599 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.599 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.599 * [misc]backup-simplify: Simplify PI into PI 1545039153.599 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.599 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.599 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.599 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.600 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.601 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039153.601 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545039153.601 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545039153.601 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039153.601 * [misc]taylor: Taking taylor expansion of k in k 1545039153.601 * [misc]backup-simplify: Simplify 0 into 0 1545039153.601 * [misc]backup-simplify: Simplify 1 into 1 1545039153.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.602 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.602 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.602 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.602 * [misc]taylor: Taking taylor expansion of k in k 1545039153.602 * [misc]backup-simplify: Simplify 0 into 0 1545039153.602 * [misc]backup-simplify: Simplify 1 into 1 1545039153.602 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545039153.603 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545039153.603 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.603 * [misc]backup-simplify: Simplify 2 into 2 1545039153.603 * [misc]taylor: Taking taylor expansion of n in k 1545039153.603 * [misc]backup-simplify: Simplify n into n 1545039153.603 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545039153.603 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545039153.603 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.603 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.603 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.603 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545039153.603 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545039153.603 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.604 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.604 * [misc]taylor: Taking taylor expansion of k in k 1545039153.604 * [misc]backup-simplify: Simplify 0 into 0 1545039153.604 * [misc]backup-simplify: Simplify 1 into 1 1545039153.604 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.604 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.604 * [misc]backup-simplify: Simplify PI into PI 1545039153.604 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.604 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039153.604 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.605 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.606 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039153.606 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545039153.606 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545039153.606 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039153.606 * [misc]taylor: Taking taylor expansion of k in k 1545039153.606 * [misc]backup-simplify: Simplify 0 into 0 1545039153.607 * [misc]backup-simplify: Simplify 1 into 1 1545039153.607 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.607 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.608 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1545039153.608 * [misc]taylor: Taking taylor expansion of 0 in n 1545039153.608 * [misc]backup-simplify: Simplify 0 into 0 1545039153.608 * [misc]backup-simplify: Simplify 0 into 0 1545039153.610 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039153.610 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039153.611 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.611 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545039153.615 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039153.615 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545039153.616 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545039153.616 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039153.617 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.617 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.617 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545039153.617 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545039153.619 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545039153.621 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1545039153.623 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545039153.623 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1545039153.623 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039153.623 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.623 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.623 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039153.623 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545039153.623 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039153.623 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.623 * [misc]backup-simplify: Simplify 2 into 2 1545039153.623 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039153.624 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039153.624 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545039153.624 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039153.624 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039153.624 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039153.624 * [misc]taylor: Taking taylor expansion of n in n 1545039153.624 * [misc]backup-simplify: Simplify 0 into 0 1545039153.624 * [misc]backup-simplify: Simplify 1 into 1 1545039153.624 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.624 * [misc]backup-simplify: Simplify PI into PI 1545039153.624 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039153.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039153.625 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039153.625 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.626 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039153.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039153.628 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.628 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545039153.630 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.632 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.633 * [misc]backup-simplify: Simplify 0 into 0 1545039153.633 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.636 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545039153.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545039153.640 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039153.640 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545039153.641 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545039153.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.642 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.642 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545039153.642 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545039153.645 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545039153.649 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545039153.653 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1545039153.653 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.653 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.653 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.653 * [misc]backup-simplify: Simplify PI into PI 1545039153.653 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.653 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039153.653 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.653 * [misc]backup-simplify: Simplify 2 into 2 1545039153.654 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039153.654 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039153.654 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1545039153.654 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545039153.654 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545039153.654 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545039153.654 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.654 * [misc]backup-simplify: Simplify PI into PI 1545039153.654 * [misc]taylor: Taking taylor expansion of n in n 1545039153.654 * [misc]backup-simplify: Simplify 0 into 0 1545039153.654 * [misc]backup-simplify: Simplify 1 into 1 1545039153.654 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545039153.655 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545039153.655 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039153.655 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.655 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039153.656 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.656 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.656 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.656 * [misc]backup-simplify: Simplify 2 into 2 1545039153.656 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039153.656 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039153.656 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545039153.656 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039153.656 * [misc]taylor: Taking taylor expansion of n in n 1545039153.656 * [misc]backup-simplify: Simplify 0 into 0 1545039153.656 * [misc]backup-simplify: Simplify 1 into 1 1545039153.656 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.656 * [misc]backup-simplify: Simplify PI into PI 1545039153.656 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039153.657 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039153.657 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039153.657 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.657 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039153.657 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.658 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.658 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.658 * [misc]backup-simplify: Simplify 2 into 2 1545039153.658 * [misc]taylor: Taking taylor expansion of n in n 1545039153.658 * [misc]backup-simplify: Simplify 0 into 0 1545039153.658 * [misc]backup-simplify: Simplify 1 into 1 1545039153.658 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545039153.658 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545039153.658 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.658 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039153.658 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.658 * [misc]backup-simplify: Simplify 2 into 2 1545039153.658 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039153.658 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039153.659 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.659 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545039153.659 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1545039153.659 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545039153.659 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545039153.659 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545039153.659 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.659 * [misc]backup-simplify: Simplify PI into PI 1545039153.659 * [misc]taylor: Taking taylor expansion of n in n 1545039153.659 * [misc]backup-simplify: Simplify 0 into 0 1545039153.659 * [misc]backup-simplify: Simplify 1 into 1 1545039153.659 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545039153.660 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545039153.660 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039153.660 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.661 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039153.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039153.666 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039153.668 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545039153.669 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1545039153.671 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545039153.672 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039153.673 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.674 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545039153.676 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039153.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545039153.677 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.677 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039153.678 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545039153.678 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545039153.679 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545039153.680 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545039153.682 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545039153.684 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545039153.687 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039153.690 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039153.692 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039153.693 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039153.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545039153.695 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545039153.696 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545039153.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1545039153.697 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039153.700 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039153.702 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039153.703 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039153.709 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545039153.709 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1545039153.709 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1545039153.709 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of k in n 1545039153.709 * [misc]backup-simplify: Simplify k into k 1545039153.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.709 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.709 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.709 * [misc]backup-simplify: Simplify PI into PI 1545039153.710 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.710 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.710 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.710 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.710 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039153.710 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.710 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.710 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.710 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of k in n 1545039153.710 * [misc]backup-simplify: Simplify k into k 1545039153.710 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.710 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.710 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.711 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.711 * [misc]backup-simplify: Simplify 2 into 2 1545039153.711 * [misc]taylor: Taking taylor expansion of n in n 1545039153.711 * [misc]backup-simplify: Simplify 0 into 0 1545039153.711 * [misc]backup-simplify: Simplify 1 into 1 1545039153.711 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.711 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.711 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.711 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.711 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.711 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.711 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.712 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.712 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.712 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.712 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039153.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.712 * [misc]taylor: Taking taylor expansion of k in n 1545039153.712 * [misc]backup-simplify: Simplify k into k 1545039153.712 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.712 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039153.712 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.712 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039153.712 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545039153.712 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545039153.712 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039153.712 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of k in k 1545039153.713 * [misc]backup-simplify: Simplify 0 into 0 1545039153.713 * [misc]backup-simplify: Simplify 1 into 1 1545039153.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.713 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.713 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.713 * [misc]backup-simplify: Simplify PI into PI 1545039153.713 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.713 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.713 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.713 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.714 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039153.714 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.714 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.714 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.714 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of k in k 1545039153.714 * [misc]backup-simplify: Simplify 0 into 0 1545039153.714 * [misc]backup-simplify: Simplify 1 into 1 1545039153.714 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.714 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545039153.714 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.714 * [misc]backup-simplify: Simplify 2 into 2 1545039153.714 * [misc]taylor: Taking taylor expansion of n in k 1545039153.714 * [misc]backup-simplify: Simplify n into n 1545039153.714 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545039153.714 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545039153.714 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.715 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.715 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.715 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545039153.715 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.715 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039153.715 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039153.715 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039153.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.715 * [misc]taylor: Taking taylor expansion of k in k 1545039153.715 * [misc]backup-simplify: Simplify 0 into 0 1545039153.715 * [misc]backup-simplify: Simplify 1 into 1 1545039153.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.715 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.716 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.716 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of k in k 1545039153.716 * [misc]backup-simplify: Simplify 0 into 0 1545039153.716 * [misc]backup-simplify: Simplify 1 into 1 1545039153.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.716 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.716 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.716 * [misc]backup-simplify: Simplify PI into PI 1545039153.716 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.716 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.716 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.717 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.717 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039153.717 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.717 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.717 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.717 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.717 * [misc]taylor: Taking taylor expansion of k in k 1545039153.717 * [misc]backup-simplify: Simplify 0 into 0 1545039153.717 * [misc]backup-simplify: Simplify 1 into 1 1545039153.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.717 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545039153.718 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545039153.718 * [misc]taylor: Taking taylor expansion of 2 in k 1545039153.718 * [misc]backup-simplify: Simplify 2 into 2 1545039153.718 * [misc]taylor: Taking taylor expansion of n in k 1545039153.718 * [misc]backup-simplify: Simplify n into n 1545039153.718 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545039153.718 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545039153.718 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.718 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039153.718 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039153.718 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545039153.718 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.718 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039153.718 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039153.718 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039153.718 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.719 * [misc]taylor: Taking taylor expansion of k in k 1545039153.719 * [misc]backup-simplify: Simplify 0 into 0 1545039153.719 * [misc]backup-simplify: Simplify 1 into 1 1545039153.719 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.719 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.719 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039153.719 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1545039153.719 * [misc]taylor: Taking taylor expansion of 0 in n 1545039153.719 * [misc]backup-simplify: Simplify 0 into 0 1545039153.719 * [misc]backup-simplify: Simplify 0 into 0 1545039153.720 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545039153.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039153.721 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039153.721 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.721 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.721 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.721 * [misc]taylor: Taking taylor expansion of k in n 1545039153.721 * [misc]backup-simplify: Simplify k into k 1545039153.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.721 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.722 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.722 * [misc]backup-simplify: Simplify PI into PI 1545039153.722 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.722 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.722 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.722 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039153.723 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.723 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of k in n 1545039153.723 * [misc]backup-simplify: Simplify k into k 1545039153.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.723 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.723 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.723 * [misc]backup-simplify: Simplify 2 into 2 1545039153.723 * [misc]taylor: Taking taylor expansion of n in n 1545039153.723 * [misc]backup-simplify: Simplify 0 into 0 1545039153.723 * [misc]backup-simplify: Simplify 1 into 1 1545039153.724 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.724 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.724 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.724 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.724 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.724 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.725 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.725 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.726 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.726 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.726 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.727 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.728 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.728 * [misc]backup-simplify: Simplify 0 into 0 1545039153.728 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039153.729 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.729 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545039153.730 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039153.731 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039153.731 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.731 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.731 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.731 * [misc]taylor: Taking taylor expansion of k in n 1545039153.731 * [misc]backup-simplify: Simplify k into k 1545039153.732 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.732 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.732 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.732 * [misc]backup-simplify: Simplify PI into PI 1545039153.732 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.732 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.732 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.732 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.732 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039153.733 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.733 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.733 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.733 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of k in n 1545039153.733 * [misc]backup-simplify: Simplify k into k 1545039153.733 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.733 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.733 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.733 * [misc]backup-simplify: Simplify 2 into 2 1545039153.733 * [misc]taylor: Taking taylor expansion of n in n 1545039153.733 * [misc]backup-simplify: Simplify 0 into 0 1545039153.733 * [misc]backup-simplify: Simplify 1 into 1 1545039153.733 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.734 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.734 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.734 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.734 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.735 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.735 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.735 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.736 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.736 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.737 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.737 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.738 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545039153.741 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039153.741 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.741 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.742 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.742 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.742 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545039153.744 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.746 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039153.746 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.746 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.747 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.747 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545039153.748 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.749 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545039153.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1545039153.751 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545039153.751 * [misc]backup-simplify: Simplify (- 0) into 0 1545039153.751 * [misc]backup-simplify: Simplify 0 into 0 1545039153.751 * [misc]backup-simplify: Simplify 0 into 0 1545039153.751 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.752 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039153.753 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039153.754 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039153.755 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039153.755 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.755 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.755 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of k in n 1545039153.755 * [misc]backup-simplify: Simplify k into k 1545039153.755 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.755 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.755 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.755 * [misc]backup-simplify: Simplify PI into PI 1545039153.756 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.756 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.756 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039153.757 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039153.757 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of k in n 1545039153.757 * [misc]backup-simplify: Simplify k into k 1545039153.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.757 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545039153.757 * [misc]taylor: Taking taylor expansion of 2 in n 1545039153.757 * [misc]backup-simplify: Simplify 2 into 2 1545039153.757 * [misc]taylor: Taking taylor expansion of n in n 1545039153.757 * [misc]backup-simplify: Simplify 0 into 0 1545039153.757 * [misc]backup-simplify: Simplify 1 into 1 1545039153.758 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545039153.758 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039153.758 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.758 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039153.758 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039153.758 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545039153.759 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545039153.759 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545039153.759 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545039153.760 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.760 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545039153.761 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.761 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545039153.763 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545039153.764 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.764 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1545039153.764 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.764 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039153.764 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039153.764 * [misc]taylor: Taking taylor expansion of -1 in n 1545039153.764 * [misc]backup-simplify: Simplify -1 into -1 1545039153.764 * [misc]taylor: Taking taylor expansion of k in n 1545039153.764 * [misc]backup-simplify: Simplify k into k 1545039153.764 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039153.764 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039153.765 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039153.765 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039153.765 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of k in n 1545039153.765 * [misc]backup-simplify: Simplify k into k 1545039153.765 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.765 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.765 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.765 * [misc]backup-simplify: Simplify -2 into -2 1545039153.765 * [misc]taylor: Taking taylor expansion of n in n 1545039153.765 * [misc]backup-simplify: Simplify 0 into 0 1545039153.765 * [misc]backup-simplify: Simplify 1 into 1 1545039153.766 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.766 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.766 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.766 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.767 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.767 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.767 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.767 * [misc]taylor: Taking taylor expansion of k in n 1545039153.767 * [misc]backup-simplify: Simplify k into k 1545039153.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.768 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.768 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.768 * [misc]backup-simplify: Simplify PI into PI 1545039153.768 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.768 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.768 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.769 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039153.769 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.769 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.770 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.770 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545039153.770 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039153.770 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039153.770 * [misc]taylor: Taking taylor expansion of -1 in k 1545039153.770 * [misc]backup-simplify: Simplify -1 into -1 1545039153.770 * [misc]taylor: Taking taylor expansion of k in k 1545039153.770 * [misc]backup-simplify: Simplify 0 into 0 1545039153.770 * [misc]backup-simplify: Simplify 1 into 1 1545039153.770 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039153.771 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.771 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039153.771 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.771 * [misc]taylor: Taking taylor expansion of k in k 1545039153.771 * [misc]backup-simplify: Simplify 0 into 0 1545039153.771 * [misc]backup-simplify: Simplify 1 into 1 1545039153.772 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.772 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545039153.772 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545039153.772 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.772 * [misc]backup-simplify: Simplify -2 into -2 1545039153.772 * [misc]taylor: Taking taylor expansion of n in k 1545039153.772 * [misc]backup-simplify: Simplify n into n 1545039153.772 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545039153.772 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545039153.772 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.772 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.772 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545039153.773 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.773 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of k in k 1545039153.773 * [misc]backup-simplify: Simplify 0 into 0 1545039153.773 * [misc]backup-simplify: Simplify 1 into 1 1545039153.773 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.773 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.773 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.773 * [misc]backup-simplify: Simplify PI into PI 1545039153.773 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.774 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.774 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.774 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.775 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.775 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.775 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.775 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545039153.775 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039153.775 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039153.775 * [misc]taylor: Taking taylor expansion of -1 in k 1545039153.775 * [misc]backup-simplify: Simplify -1 into -1 1545039153.775 * [misc]taylor: Taking taylor expansion of k in k 1545039153.775 * [misc]backup-simplify: Simplify 0 into 0 1545039153.775 * [misc]backup-simplify: Simplify 1 into 1 1545039153.776 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039153.776 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039153.776 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039153.776 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.776 * [misc]taylor: Taking taylor expansion of k in k 1545039153.777 * [misc]backup-simplify: Simplify 0 into 0 1545039153.777 * [misc]backup-simplify: Simplify 1 into 1 1545039153.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.777 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545039153.777 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545039153.777 * [misc]taylor: Taking taylor expansion of -2 in k 1545039153.777 * [misc]backup-simplify: Simplify -2 into -2 1545039153.777 * [misc]taylor: Taking taylor expansion of n in k 1545039153.777 * [misc]backup-simplify: Simplify n into n 1545039153.777 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545039153.777 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545039153.777 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.777 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.777 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545039153.778 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.778 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of k in k 1545039153.778 * [misc]backup-simplify: Simplify 0 into 0 1545039153.778 * [misc]backup-simplify: Simplify 1 into 1 1545039153.778 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039153.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039153.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.778 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039153.778 * [misc]taylor: Taking taylor expansion of PI in k 1545039153.778 * [misc]backup-simplify: Simplify PI into PI 1545039153.779 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.779 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039153.779 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039153.779 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039153.780 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.780 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.780 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.781 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.781 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of k in n 1545039153.781 * [misc]backup-simplify: Simplify k into k 1545039153.781 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.781 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.781 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.781 * [misc]backup-simplify: Simplify -2 into -2 1545039153.781 * [misc]taylor: Taking taylor expansion of n in n 1545039153.781 * [misc]backup-simplify: Simplify 0 into 0 1545039153.781 * [misc]backup-simplify: Simplify 1 into 1 1545039153.782 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.782 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.782 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.782 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.783 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.783 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.783 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of k in n 1545039153.783 * [misc]backup-simplify: Simplify k into k 1545039153.783 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.783 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.783 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.784 * [misc]backup-simplify: Simplify PI into PI 1545039153.784 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.784 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.784 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.784 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039153.785 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.785 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.786 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.786 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039153.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039153.788 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545039153.789 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.789 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.789 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.789 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.789 * [misc]taylor: Taking taylor expansion of k in n 1545039153.789 * [misc]backup-simplify: Simplify k into k 1545039153.789 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.790 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.790 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.790 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.790 * [misc]backup-simplify: Simplify -2 into -2 1545039153.790 * [misc]taylor: Taking taylor expansion of n in n 1545039153.790 * [misc]backup-simplify: Simplify 0 into 0 1545039153.790 * [misc]backup-simplify: Simplify 1 into 1 1545039153.790 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.790 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.790 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.791 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.791 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of k in n 1545039153.792 * [misc]backup-simplify: Simplify k into k 1545039153.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.792 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.792 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.792 * [misc]backup-simplify: Simplify PI into PI 1545039153.793 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.793 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.793 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039153.794 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.794 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.795 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.796 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.796 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.797 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039153.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.801 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545039153.802 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545039153.804 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545039153.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039153.805 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039153.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039153.805 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.805 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545039153.807 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039153.807 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545039153.808 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1545039153.808 * [misc]backup-simplify: Simplify 0 into 0 1545039153.809 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039153.810 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039153.810 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545039153.811 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.811 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039153.811 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039153.811 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545039153.811 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of k in n 1545039153.812 * [misc]backup-simplify: Simplify k into k 1545039153.812 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.812 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545039153.812 * [misc]taylor: Taking taylor expansion of -2 in n 1545039153.812 * [misc]backup-simplify: Simplify -2 into -2 1545039153.812 * [misc]taylor: Taking taylor expansion of n in n 1545039153.812 * [misc]backup-simplify: Simplify 0 into 0 1545039153.812 * [misc]backup-simplify: Simplify 1 into 1 1545039153.812 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545039153.812 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545039153.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.812 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.812 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545039153.813 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545039153.813 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545039153.813 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.813 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of k in n 1545039153.813 * [misc]backup-simplify: Simplify k into k 1545039153.813 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039153.813 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039153.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039153.813 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039153.813 * [misc]taylor: Taking taylor expansion of PI in n 1545039153.813 * [misc]backup-simplify: Simplify PI into PI 1545039153.813 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039153.813 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039153.813 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039153.814 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039153.814 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039153.814 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039153.814 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.815 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039153.815 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039153.816 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k)))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545039153.817 * * * [misc]progress: simplifying candidates 1545039153.817 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1545039153.817 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545039153.817 * * [misc]simplify: iters left: 6 (9 enodes) 1545039153.819 * * [misc]simplify: iters left: 5 (16 enodes) 1545039153.821 * * [misc]simplify: iters left: 4 (32 enodes) 1545039153.827 * * [misc]simplify: iters left: 3 (68 enodes) 1545039153.848 * * [misc]simplify: iters left: 2 (171 enodes) 1545039153.893 * * [misc]simplify: iters left: 1 (342 enodes) 1545039154.065 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545039154.065 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1545039154.065 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1545039154.065 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1545039154.065 * [enter]simplify: Simplifying (* n 2) 1545039154.065 * * [misc]simplify: iters left: 2 (3 enodes) 1545039154.066 * * [misc]simplify: iters left: 1 (4 enodes) 1545039154.067 * [exit]simplify: Simplified to (* n 2) 1545039154.067 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1545039154.067 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1545039154.068 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545039154.068 * * [misc]simplify: iters left: 3 (6 enodes) 1545039154.069 * * [misc]simplify: iters left: 2 (7 enodes) 1545039154.071 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545039154.071 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1545039154.071 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1545039154.072 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039154.072 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.073 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.076 * * [misc]simplify: iters left: 3 (11 enodes) 1545039154.079 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039154.079 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1545039154.079 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1545039154.079 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039154.079 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.081 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.084 * * [misc]simplify: iters left: 3 (11 enodes) 1545039154.087 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039154.087 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1545039154.087 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1545039154.087 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039154.087 * * [misc]simplify: iters left: 4 (5 enodes) 1545039154.089 * * [misc]simplify: iters left: 3 (7 enodes) 1545039154.091 * * [misc]simplify: iters left: 2 (10 enodes) 1545039154.094 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039154.094 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1545039154.094 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1545039154.094 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545039154.094 * * [misc]simplify: iters left: 5 (7 enodes) 1545039154.096 * * [misc]simplify: iters left: 4 (10 enodes) 1545039154.099 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545039154.099 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545039154.099 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1545039154.100 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545039154.100 * * [misc]simplify: iters left: 5 (7 enodes) 1545039154.102 * * [misc]simplify: iters left: 4 (10 enodes) 1545039154.105 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545039154.106 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545039154.106 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1545039154.106 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545039154.106 * * [misc]simplify: iters left: 5 (7 enodes) 1545039154.109 * * [misc]simplify: iters left: 4 (9 enodes) 1545039154.111 * * [misc]simplify: iters left: 3 (12 enodes) 1545039154.115 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545039154.115 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1545039154.115 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1545039154.115 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1545039154.116 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545039154.116 * * [misc]simplify: iters left: 3 (5 enodes) 1545039154.117 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545039154.117 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.117 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1545039154.117 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039154.118 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.119 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.122 * * [misc]simplify: iters left: 3 (11 enodes) 1545039154.124 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039154.125 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.125 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1545039154.125 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039154.125 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.127 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.129 * * [misc]simplify: iters left: 3 (11 enodes) 1545039154.132 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039154.132 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.132 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1545039154.132 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039154.132 * * [misc]simplify: iters left: 4 (5 enodes) 1545039154.134 * * [misc]simplify: iters left: 3 (7 enodes) 1545039154.136 * * [misc]simplify: iters left: 2 (10 enodes) 1545039154.138 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039154.138 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.138 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1545039154.139 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545039154.139 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.140 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.143 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545039154.143 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.143 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1545039154.143 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545039154.143 * * [misc]simplify: iters left: 5 (6 enodes) 1545039154.145 * * [misc]simplify: iters left: 4 (8 enodes) 1545039154.147 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545039154.147 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039154.147 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1545039154.148 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1545039154.148 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545039154.148 * * [misc]simplify: iters left: 6 (12 enodes) 1545039154.153 * * [misc]simplify: iters left: 5 (21 enodes) 1545039154.161 * * [misc]simplify: iters left: 4 (44 enodes) 1545039154.178 * * [misc]simplify: iters left: 3 (125 enodes) 1545039154.217 * * [misc]simplify: iters left: 2 (343 enodes) 1545039154.348 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545039154.348 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1545039154.348 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1545039154.349 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545039154.349 * * [misc]simplify: iters left: 6 (12 enodes) 1545039154.353 * * [misc]simplify: iters left: 5 (21 enodes) 1545039154.360 * * [misc]simplify: iters left: 4 (44 enodes) 1545039154.378 * * [misc]simplify: iters left: 3 (125 enodes) 1545039154.437 * * [misc]simplify: iters left: 2 (343 enodes) 1545039154.537 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545039154.537 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1545039154.537 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1545039154.537 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.537 * * [misc]simplify: iters left: 6 (12 enodes) 1545039154.539 * * [misc]simplify: iters left: 5 (19 enodes) 1545039154.542 * * [misc]simplify: iters left: 4 (32 enodes) 1545039154.548 * * [misc]simplify: iters left: 3 (67 enodes) 1545039154.561 * * [misc]simplify: iters left: 2 (194 enodes) 1545039154.634 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545039154.634 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1545039154.634 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1545039154.634 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1545039154.635 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1545039154.635 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.635 * * [misc]simplify: iters left: 6 (14 enodes) 1545039154.640 * * [misc]simplify: iters left: 5 (26 enodes) 1545039154.649 * * [misc]simplify: iters left: 4 (58 enodes) 1545039154.669 * * [misc]simplify: iters left: 3 (117 enodes) 1545039154.698 * * [misc]simplify: iters left: 2 (193 enodes) 1545039154.741 * * [misc]simplify: iters left: 1 (263 enodes) 1545039154.813 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.813 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039154.813 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1545039154.813 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1545039154.813 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1545039154.813 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1545039154.814 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1545039154.814 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545039154.814 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.815 * * [misc]simplify: iters left: 5 (14 enodes) 1545039154.817 * * [misc]simplify: iters left: 4 (16 enodes) 1545039154.819 * * [misc]simplify: iters left: 3 (17 enodes) 1545039154.821 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545039154.821 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545039154.821 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039154.821 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.823 * * [misc]simplify: iters left: 5 (13 enodes) 1545039154.824 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039154.824 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545039154.825 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1545039154.825 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545039154.825 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.826 * * [misc]simplify: iters left: 5 (14 enodes) 1545039154.829 * * [misc]simplify: iters left: 4 (16 enodes) 1545039154.833 * * [misc]simplify: iters left: 3 (17 enodes) 1545039154.838 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545039154.838 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545039154.838 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039154.838 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.841 * * [misc]simplify: iters left: 5 (13 enodes) 1545039154.845 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039154.845 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545039154.845 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1545039154.846 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545039154.846 * * [misc]simplify: iters left: 6 (11 enodes) 1545039154.849 * * [misc]simplify: iters left: 5 (15 enodes) 1545039154.853 * * [misc]simplify: iters left: 4 (20 enodes) 1545039154.858 * * [misc]simplify: iters left: 3 (21 enodes) 1545039154.863 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545039154.863 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039154.864 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039154.864 * * [misc]simplify: iters left: 6 (9 enodes) 1545039154.866 * * [misc]simplify: iters left: 5 (11 enodes) 1545039154.869 * * [misc]simplify: iters left: 4 (14 enodes) 1545039154.872 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039154.872 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039154.873 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1545039154.873 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039154.873 * * [misc]simplify: iters left: 6 (14 enodes) 1545039154.877 * * [misc]simplify: iters left: 5 (23 enodes) 1545039154.883 * * [misc]simplify: iters left: 4 (35 enodes) 1545039154.893 * * [misc]simplify: iters left: 3 (38 enodes) 1545039154.903 * * [misc]simplify: iters left: 2 (41 enodes) 1545039154.914 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039154.914 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039154.914 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.914 * * [misc]simplify: iters left: 6 (12 enodes) 1545039154.918 * * [misc]simplify: iters left: 5 (15 enodes) 1545039154.922 * * [misc]simplify: iters left: 4 (18 enodes) 1545039154.928 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.928 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039154.928 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1545039154.929 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.929 * * [misc]simplify: iters left: 6 (13 enodes) 1545039154.933 * * [misc]simplify: iters left: 5 (18 enodes) 1545039154.938 * * [misc]simplify: iters left: 4 (23 enodes) 1545039154.942 * * [misc]simplify: iters left: 3 (24 enodes) 1545039154.945 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.945 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039154.945 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.945 * * [misc]simplify: iters left: 6 (12 enodes) 1545039154.947 * * [misc]simplify: iters left: 5 (15 enodes) 1545039154.949 * * [misc]simplify: iters left: 4 (18 enodes) 1545039154.951 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039154.951 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039154.951 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1545039154.951 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545039154.952 * * [misc]simplify: iters left: 6 (6 enodes) 1545039154.952 * * [misc]simplify: iters left: 5 (10 enodes) 1545039154.954 * * [misc]simplify: iters left: 4 (16 enodes) 1545039154.956 * * [misc]simplify: iters left: 3 (18 enodes) 1545039154.958 * * [misc]simplify: iters left: 2 (23 enodes) 1545039154.960 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039154.961 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039154.961 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039154.961 * * [misc]simplify: iters left: 6 (11 enodes) 1545039154.962 * * [misc]simplify: iters left: 5 (14 enodes) 1545039154.964 * * [misc]simplify: iters left: 4 (17 enodes) 1545039154.966 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039154.966 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039154.966 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1545039154.967 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545039154.967 * * [misc]simplify: iters left: 5 (9 enodes) 1545039154.969 * * [misc]simplify: iters left: 4 (11 enodes) 1545039154.972 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545039154.972 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545039154.972 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039154.972 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.975 * * [misc]simplify: iters left: 5 (13 enodes) 1545039154.979 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039154.979 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545039154.979 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1545039154.979 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545039154.979 * * [misc]simplify: iters left: 5 (9 enodes) 1545039154.982 * * [misc]simplify: iters left: 4 (11 enodes) 1545039154.985 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545039154.985 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545039154.985 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039154.985 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.988 * * [misc]simplify: iters left: 5 (13 enodes) 1545039154.991 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039154.992 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545039154.992 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1545039154.992 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545039154.992 * * [misc]simplify: iters left: 6 (10 enodes) 1545039154.995 * * [misc]simplify: iters left: 5 (12 enodes) 1545039154.998 * * [misc]simplify: iters left: 4 (15 enodes) 1545039155.003 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545039155.003 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039155.003 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039155.003 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.006 * * [misc]simplify: iters left: 5 (11 enodes) 1545039155.009 * * [misc]simplify: iters left: 4 (14 enodes) 1545039155.013 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039155.013 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039155.013 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1545039155.013 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039155.013 * * [misc]simplify: iters left: 6 (13 enodes) 1545039155.017 * * [misc]simplify: iters left: 5 (18 enodes) 1545039155.022 * * [misc]simplify: iters left: 4 (21 enodes) 1545039155.028 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039155.028 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.028 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.028 * * [misc]simplify: iters left: 6 (12 enodes) 1545039155.032 * * [misc]simplify: iters left: 5 (15 enodes) 1545039155.034 * * [misc]simplify: iters left: 4 (18 enodes) 1545039155.036 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.036 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.036 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1545039155.036 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.036 * * [misc]simplify: iters left: 6 (12 enodes) 1545039155.038 * * [misc]simplify: iters left: 5 (15 enodes) 1545039155.041 * * [misc]simplify: iters left: 4 (18 enodes) 1545039155.044 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.044 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.044 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.044 * * [misc]simplify: iters left: 6 (12 enodes) 1545039155.046 * * [misc]simplify: iters left: 5 (15 enodes) 1545039155.048 * * [misc]simplify: iters left: 4 (18 enodes) 1545039155.050 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.050 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.050 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1545039155.050 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545039155.050 * * [misc]simplify: iters left: 4 (5 enodes) 1545039155.051 * * [misc]simplify: iters left: 3 (7 enodes) 1545039155.053 * * [misc]simplify: iters left: 2 (9 enodes) 1545039155.054 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039155.054 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.054 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.054 * * [misc]simplify: iters left: 6 (11 enodes) 1545039155.056 * * [misc]simplify: iters left: 5 (14 enodes) 1545039155.058 * * [misc]simplify: iters left: 4 (17 enodes) 1545039155.060 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.060 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.060 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1545039155.060 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545039155.060 * * [misc]simplify: iters left: 5 (7 enodes) 1545039155.061 * * [misc]simplify: iters left: 4 (11 enodes) 1545039155.063 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545039155.063 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1545039155.063 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545039155.063 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.064 * * [misc]simplify: iters left: 5 (12 enodes) 1545039155.066 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545039155.066 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1545039155.066 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1545039155.066 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545039155.066 * * [misc]simplify: iters left: 5 (7 enodes) 1545039155.067 * * [misc]simplify: iters left: 4 (11 enodes) 1545039155.068 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545039155.068 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1545039155.069 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545039155.069 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.070 * * [misc]simplify: iters left: 5 (12 enodes) 1545039155.071 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545039155.072 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1545039155.072 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1545039155.072 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545039155.072 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.073 * * [misc]simplify: iters left: 5 (13 enodes) 1545039155.075 * * [misc]simplify: iters left: 4 (16 enodes) 1545039155.076 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545039155.077 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039155.077 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039155.077 * * [misc]simplify: iters left: 6 (8 enodes) 1545039155.078 * * [misc]simplify: iters left: 5 (10 enodes) 1545039155.079 * * [misc]simplify: iters left: 4 (13 enodes) 1545039155.082 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039155.082 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039155.082 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1545039155.083 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039155.083 * * [misc]simplify: iters left: 6 (12 enodes) 1545039155.086 * * [misc]simplify: iters left: 5 (19 enodes) 1545039155.090 * * [misc]simplify: iters left: 4 (22 enodes) 1545039155.095 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545039155.096 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.096 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.096 * * [misc]simplify: iters left: 6 (11 enodes) 1545039155.099 * * [misc]simplify: iters left: 5 (14 enodes) 1545039155.102 * * [misc]simplify: iters left: 4 (17 enodes) 1545039155.106 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.106 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.106 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1545039155.106 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.106 * * [misc]simplify: iters left: 6 (11 enodes) 1545039155.109 * * [misc]simplify: iters left: 5 (16 enodes) 1545039155.112 * * [misc]simplify: iters left: 4 (19 enodes) 1545039155.117 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545039155.117 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.117 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.117 * * [misc]simplify: iters left: 6 (11 enodes) 1545039155.121 * * [misc]simplify: iters left: 5 (14 enodes) 1545039155.125 * * [misc]simplify: iters left: 4 (17 enodes) 1545039155.130 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.130 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039155.130 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1545039155.130 * [enter]simplify: Simplifying (/ 1 1) 1545039155.130 * * [misc]simplify: iters left: 2 (2 enodes) 1545039155.131 * * [misc]simplify: iters left: 1 (4 enodes) 1545039155.132 * [exit]simplify: Simplified to 1 1545039155.132 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.133 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.133 * * [misc]simplify: iters left: 6 (10 enodes) 1545039155.136 * * [misc]simplify: iters left: 5 (13 enodes) 1545039155.140 * * [misc]simplify: iters left: 4 (16 enodes) 1545039155.145 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.145 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.145 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1545039155.145 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1545039155.145 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1545039155.145 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1545039155.146 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545039155.146 * * [misc]simplify: iters left: 5 (7 enodes) 1545039155.148 * * [misc]simplify: iters left: 4 (10 enodes) 1545039155.152 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545039155.152 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545039155.152 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1545039155.152 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545039155.153 * * [misc]simplify: iters left: 5 (7 enodes) 1545039155.155 * * [misc]simplify: iters left: 4 (10 enodes) 1545039155.158 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545039155.158 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545039155.158 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1545039155.158 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545039155.158 * * [misc]simplify: iters left: 5 (6 enodes) 1545039155.160 * * [misc]simplify: iters left: 4 (8 enodes) 1545039155.162 * * [misc]simplify: iters left: 3 (11 enodes) 1545039155.165 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545039155.165 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1545039155.165 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1545039155.166 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.166 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.169 * * [misc]simplify: iters left: 5 (12 enodes) 1545039155.172 * * [misc]simplify: iters left: 4 (15 enodes) 1545039155.176 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.177 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.177 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1545039155.177 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.177 * * [misc]simplify: iters left: 6 (9 enodes) 1545039155.180 * * [misc]simplify: iters left: 5 (12 enodes) 1545039155.183 * * [misc]simplify: iters left: 4 (15 enodes) 1545039155.187 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545039155.187 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039155.188 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1545039155.188 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545039155.188 * * [misc]simplify: iters left: 5 (8 enodes) 1545039155.190 * * [misc]simplify: iters left: 4 (11 enodes) 1545039155.194 * * [misc]simplify: iters left: 3 (14 enodes) 1545039155.198 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545039155.198 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039155.198 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1545039155.198 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039155.198 * * [misc]simplify: iters left: 4 (4 enodes) 1545039155.200 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039155.200 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1545039155.200 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1545039155.200 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545039155.200 * * [misc]simplify: iters left: 2 (3 enodes) 1545039155.201 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039155.201 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1545039155.201 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1545039155.201 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1545039155.201 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545039155.201 * * [misc]simplify: iters left: 3 (6 enodes) 1545039155.203 * * [misc]simplify: iters left: 2 (7 enodes) 1545039155.205 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545039155.205 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1545039155.205 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1545039155.206 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039155.206 * * [misc]simplify: iters left: 6 (15 enodes) 1545039155.210 * * [misc]simplify: iters left: 5 (25 enodes) 1545039155.217 * * [misc]simplify: iters left: 4 (40 enodes) 1545039155.228 * * [misc]simplify: iters left: 3 (65 enodes) 1545039155.250 * * [misc]simplify: iters left: 2 (99 enodes) 1545039155.281 * * [misc]simplify: iters left: 1 (139 enodes) 1545039155.312 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545039155.312 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1))) 1545039155.312 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1545039155.312 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1545039155.312 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039155.312 * * [misc]simplify: iters left: 6 (17 enodes) 1545039155.315 * * [misc]simplify: iters left: 5 (34 enodes) 1545039155.321 * * [misc]simplify: iters left: 4 (81 enodes) 1545039155.357 * * [misc]simplify: iters left: 3 (262 enodes) 1545039155.481 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1545039155.481 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545039155.481 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1545039155.481 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039155.481 * * [misc]simplify: iters left: 6 (17 enodes) 1545039155.487 * * [misc]simplify: iters left: 5 (34 enodes) 1545039155.505 * * [misc]simplify: iters left: 4 (81 enodes) 1545039155.543 * * [misc]simplify: iters left: 3 (262 enodes) 1545039155.671 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1545039155.671 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545039155.672 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1545039155.672 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039155.672 * * [misc]simplify: iters left: 6 (17 enodes) 1545039155.677 * * [misc]simplify: iters left: 5 (32 enodes) 1545039155.689 * * [misc]simplify: iters left: 4 (69 enodes) 1545039155.702 * * [misc]simplify: iters left: 3 (185 enodes) 1545039155.788 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))))) 1545039155.788 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))))))) 1545039155.789 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1545039155.789 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039155.789 * * [misc]simplify: iters left: 6 (16 enodes) 1545039155.794 * * [misc]simplify: iters left: 5 (28 enodes) 1545039155.804 * * [misc]simplify: iters left: 4 (58 enodes) 1545039155.825 * * [misc]simplify: iters left: 3 (135 enodes) 1545039155.853 * * [misc]simplify: iters left: 2 (301 enodes) 1545039156.019 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2)))) 1545039156.019 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))))))) 1545039156.019 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1545039156.020 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039156.020 * * [misc]simplify: iters left: 6 (17 enodes) 1545039156.023 * * [misc]simplify: iters left: 5 (31 enodes) 1545039156.028 * * [misc]simplify: iters left: 4 (65 enodes) 1545039156.041 * * [misc]simplify: iters left: 3 (195 enodes) 1545039156.107 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545039156.107 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545039156.107 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1545039156.107 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039156.107 * * [misc]simplify: iters left: 6 (17 enodes) 1545039156.110 * * [misc]simplify: iters left: 5 (31 enodes) 1545039156.118 * * [misc]simplify: iters left: 4 (65 enodes) 1545039156.142 * * [misc]simplify: iters left: 3 (195 enodes) 1545039156.204 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545039156.204 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545039156.204 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1545039156.205 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039156.205 * * [misc]simplify: iters left: 6 (17 enodes) 1545039156.207 * * [misc]simplify: iters left: 5 (29 enodes) 1545039156.212 * * [misc]simplify: iters left: 4 (53 enodes) 1545039156.222 * * [misc]simplify: iters left: 3 (122 enodes) 1545039156.274 * * [misc]simplify: iters left: 2 (464 enodes) 1545039156.684 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k))) 1545039156.684 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1545039156.684 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1545039156.685 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039156.685 * * [misc]simplify: iters left: 6 (16 enodes) 1545039156.687 * * [misc]simplify: iters left: 5 (25 enodes) 1545039156.690 * * [misc]simplify: iters left: 4 (42 enodes) 1545039156.697 * * [misc]simplify: iters left: 3 (80 enodes) 1545039156.712 * * [misc]simplify: iters left: 2 (206 enodes) 1545039156.811 * [exit]simplify: Simplified to (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545039156.812 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545039156.812 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1545039156.812 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039156.812 * * [misc]simplify: iters left: 6 (18 enodes) 1545039156.815 * * [misc]simplify: iters left: 5 (36 enodes) 1545039156.821 * * [misc]simplify: iters left: 4 (68 enodes) 1545039156.834 * * [misc]simplify: iters left: 3 (199 enodes) 1545039156.947 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545039156.947 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1545039156.948 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1545039156.948 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545039156.948 * * [misc]simplify: iters left: 6 (18 enodes) 1545039156.955 * * [misc]simplify: iters left: 5 (36 enodes) 1545039156.964 * * [misc]simplify: iters left: 4 (68 enodes) 1545039156.988 * * [misc]simplify: iters left: 3 (199 enodes) 1545039157.112 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545039157.112 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1545039157.112 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1545039157.112 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039157.112 * * [misc]simplify: iters left: 6 (18 enodes) 1545039157.118 * * [misc]simplify: iters left: 5 (34 enodes) 1545039157.127 * * [misc]simplify: iters left: 4 (56 enodes) 1545039157.143 * * [misc]simplify: iters left: 3 (124 enodes) 1545039157.201 * * [misc]simplify: iters left: 2 (458 enodes) 1545039157.760 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))))) 1545039157.760 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n)))))))) 1545039157.760 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1545039157.760 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039157.760 * * [misc]simplify: iters left: 6 (17 enodes) 1545039157.766 * * [misc]simplify: iters left: 5 (30 enodes) 1545039157.774 * * [misc]simplify: iters left: 4 (44 enodes) 1545039157.787 * * [misc]simplify: iters left: 3 (78 enodes) 1545039157.816 * * [misc]simplify: iters left: 2 (169 enodes) 1545039157.893 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1545039157.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545039157.893 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1545039157.893 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1545039157.893 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1545039157.893 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039157.894 * * [misc]simplify: iters left: 6 (21 enodes) 1545039157.897 * * [misc]simplify: iters left: 5 (47 enodes) 1545039157.909 * * [misc]simplify: iters left: 4 (148 enodes) 1545039157.980 * [exit]simplify: Simplified to (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039157.980 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545039157.980 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1545039157.980 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545039157.980 * * [misc]simplify: iters left: 6 (19 enodes) 1545039157.983 * * [misc]simplify: iters left: 5 (43 enodes) 1545039158.000 * * [misc]simplify: iters left: 4 (121 enodes) 1545039158.048 * * [misc]simplify: iters left: 3 (306 enodes) 1545039158.249 * [exit]simplify: Simplified to (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545039158.249 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1545039158.249 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1545039158.249 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1545039158.249 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1545039158.249 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1545039158.249 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1545039158.249 * * [misc]simplify: iters left: 3 (4 enodes) 1545039158.250 * * [misc]simplify: iters left: 2 (7 enodes) 1545039158.251 * * [misc]simplify: iters left: 1 (9 enodes) 1545039158.252 * [exit]simplify: Simplified to (sqrt k) 1545039158.252 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039158.252 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.252 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.254 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.256 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.259 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545039158.259 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1545039158.259 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1545039158.259 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1545039158.260 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.260 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.262 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.264 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.266 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.266 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.266 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1545039158.266 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.267 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.268 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.270 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.272 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.272 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.272 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1545039158.272 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039158.273 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.274 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.276 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039158.276 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545039158.276 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1545039158.276 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039158.276 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.277 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.279 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039158.279 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545039158.279 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1545039158.279 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039158.279 * * [misc]simplify: iters left: 6 (9 enodes) 1545039158.280 * * [misc]simplify: iters left: 5 (11 enodes) 1545039158.282 * * [misc]simplify: iters left: 4 (14 enodes) 1545039158.284 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039158.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545039158.284 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1545039158.284 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.284 * * [misc]simplify: iters left: 6 (12 enodes) 1545039158.286 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.288 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.290 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.290 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.290 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1545039158.290 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.290 * * [misc]simplify: iters left: 6 (12 enodes) 1545039158.292 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.294 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.296 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.296 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.296 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1545039158.296 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.296 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.298 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.300 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.302 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.302 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039158.302 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1545039158.302 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039158.302 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.303 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.307 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039158.307 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545039158.307 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1545039158.308 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545039158.308 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.309 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.312 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545039158.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545039158.312 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1545039158.312 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039158.312 * * [misc]simplify: iters left: 6 (9 enodes) 1545039158.313 * * [misc]simplify: iters left: 5 (11 enodes) 1545039158.315 * * [misc]simplify: iters left: 4 (14 enodes) 1545039158.317 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039158.317 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545039158.317 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1545039158.317 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.317 * * [misc]simplify: iters left: 6 (12 enodes) 1545039158.319 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.321 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.323 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.323 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.323 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1545039158.323 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.323 * * [misc]simplify: iters left: 6 (12 enodes) 1545039158.325 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.327 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.329 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.329 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.329 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1545039158.329 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.329 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.331 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.333 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.335 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.335 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039158.335 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1545039158.335 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545039158.335 * * [misc]simplify: iters left: 6 (9 enodes) 1545039158.336 * * [misc]simplify: iters left: 5 (12 enodes) 1545039158.338 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545039158.338 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545039158.338 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1545039158.338 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545039158.338 * * [misc]simplify: iters left: 6 (9 enodes) 1545039158.339 * * [misc]simplify: iters left: 5 (12 enodes) 1545039158.341 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545039158.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545039158.341 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1545039158.341 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039158.341 * * [misc]simplify: iters left: 6 (8 enodes) 1545039158.342 * * [misc]simplify: iters left: 5 (10 enodes) 1545039158.344 * * [misc]simplify: iters left: 4 (13 enodes) 1545039158.345 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039158.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039158.345 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1545039158.346 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.346 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.347 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.349 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.351 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.351 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.351 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1545039158.351 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.352 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.355 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.358 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.363 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.363 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.363 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1545039158.363 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.363 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.367 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.370 * * [misc]simplify: iters left: 4 (16 enodes) 1545039158.374 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.374 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039158.375 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1545039158.375 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.375 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.378 * * [misc]simplify: iters left: 5 (13 enodes) 1545039158.381 * * [misc]simplify: iters left: 4 (16 enodes) 1545039158.386 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039158.386 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1545039158.386 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.386 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.389 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.393 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.398 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1545039158.398 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545039158.398 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1545039158.398 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545039158.398 * * [misc]simplify: iters left: 3 (6 enodes) 1545039158.400 * * [misc]simplify: iters left: 2 (7 enodes) 1545039158.402 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545039158.402 * [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))) (pow (* n 2) (/ k 2))))) 1545039158.402 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1545039158.402 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1545039158.402 * * [misc]simplify: iters left: 6 (11 enodes) 1545039158.406 * * [misc]simplify: iters left: 5 (15 enodes) 1545039158.411 * * [misc]simplify: iters left: 4 (18 enodes) 1545039158.416 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1545039158.416 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.416 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1545039158.416 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1545039158.416 * * [misc]simplify: iters left: 6 (10 enodes) 1545039158.418 * * [misc]simplify: iters left: 5 (14 enodes) 1545039158.420 * * [misc]simplify: iters left: 4 (17 enodes) 1545039158.422 * [exit]simplify: Simplified to (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1545039158.422 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.422 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1545039158.422 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1545039158.422 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1545039158.422 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1545039158.422 * * [misc]simplify: iters left: 3 (5 enodes) 1545039158.423 * * [misc]simplify: iters left: 2 (8 enodes) 1545039158.424 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1545039158.424 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt PI)) (* (pow PI (/ k 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545039158.424 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1545039158.424 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545039158.425 * * [misc]simplify: iters left: 5 (8 enodes) 1545039158.426 * * [misc]simplify: iters left: 4 (11 enodes) 1545039158.427 * * [misc]simplify: iters left: 3 (14 enodes) 1545039158.429 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545039158.429 * [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)))))) 1545039158.429 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1545039158.429 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545039158.430 * * [misc]simplify: iters left: 6 (12 enodes) 1545039158.431 * * [misc]simplify: iters left: 5 (20 enodes) 1545039158.435 * * [misc]simplify: iters left: 4 (30 enodes) 1545039158.439 * * [misc]simplify: iters left: 3 (33 enodes) 1545039158.443 * * [misc]simplify: iters left: 2 (39 enodes) 1545039158.449 * * [misc]simplify: iters left: 1 (52 enodes) 1545039158.464 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545039158.464 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1545039158.464 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1545039158.464 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1545039158.464 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545039158.465 * * [misc]simplify: iters left: 6 (35 enodes) 1545039158.479 * * [misc]simplify: iters left: 5 (99 enodes) 1545039158.513 * * [misc]simplify: iters left: 4 (298 enodes) 1545039158.678 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545039158.678 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))))))) 1545039158.678 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1545039158.679 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545039158.679 * * [misc]simplify: iters left: 6 (13 enodes) 1545039158.684 * * [misc]simplify: iters left: 5 (27 enodes) 1545039158.692 * * [misc]simplify: iters left: 4 (53 enodes) 1545039158.701 * * [misc]simplify: iters left: 3 (116 enodes) 1545039158.757 * * [misc]simplify: iters left: 2 (362 enodes) 1545039159.056 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545039159.056 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k)))))) 1545039159.056 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1545039159.057 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545039159.057 * * [misc]simplify: iters left: 6 (13 enodes) 1545039159.059 * * [misc]simplify: iters left: 5 (24 enodes) 1545039159.067 * * [misc]simplify: iters left: 4 (54 enodes) 1545039159.088 * * [misc]simplify: iters left: 3 (143 enodes) 1545039159.132 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545039159.132 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1545039159.132 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1545039159.132 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545039159.132 * * [misc]simplify: iters left: 6 (18 enodes) 1545039159.135 * * [misc]simplify: iters left: 5 (39 enodes) 1545039159.142 * * [misc]simplify: iters left: 4 (104 enodes) 1545039159.166 * * [misc]simplify: iters left: 3 (275 enodes) 1545039159.285 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545039159.285 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039159.285 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1545039159.286 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545039159.286 * * [misc]simplify: iters left: 5 (6 enodes) 1545039159.287 * * [misc]simplify: iters left: 4 (9 enodes) 1545039159.289 * * [misc]simplify: iters left: 3 (17 enodes) 1545039159.291 * * [misc]simplify: iters left: 2 (20 enodes) 1545039159.293 * * [misc]simplify: iters left: 1 (24 enodes) 1545039159.298 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545039159.298 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039159.298 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1545039159.298 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545039159.298 * * [misc]simplify: iters left: 5 (6 enodes) 1545039159.299 * * [misc]simplify: iters left: 4 (9 enodes) 1545039159.301 * * [misc]simplify: iters left: 3 (17 enodes) 1545039159.303 * * [misc]simplify: iters left: 2 (20 enodes) 1545039159.305 * * [misc]simplify: iters left: 1 (24 enodes) 1545039159.312 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545039159.312 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545039159.312 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1545039159.312 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545039159.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545039159.312 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1545039159.313 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545039159.313 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545039159.313 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1545039159.313 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545039159.313 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545039159.313 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1545039159.313 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545039159.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039159.313 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1545039159.313 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545039159.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039159.313 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1545039159.313 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k)))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545039159.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039159.313 * * * [misc]progress: adding candidates to table 1545039161.678 * * [misc]progress: iteration 4 / 4 1545039161.678 * * * [misc]progress: picking best candidate 1545039161.729 * * * * [misc]pick: Picked # 1545039161.729 * * * [misc]progress: localizing error 1545039161.776 * * * [misc]progress: generating rewritten candidates 1545039161.776 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1545039161.780 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1545039161.784 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1545039161.795 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545039161.839 * * * [misc]progress: generating series expansions 1545039161.839 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 2) 1545039161.839 * [misc]backup-simplify: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k))) 1545039161.839 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1545039161.839 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.839 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.839 * [misc]taylor: Taking taylor expansion of k in k 1545039161.839 * [misc]backup-simplify: Simplify 0 into 0 1545039161.839 * [misc]backup-simplify: Simplify 1 into 1 1545039161.839 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039161.839 * [misc]taylor: Taking taylor expansion of n in k 1545039161.840 * [misc]backup-simplify: Simplify n into n 1545039161.840 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039161.840 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.840 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.840 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.840 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545039161.840 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545039161.840 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545039161.840 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545039161.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545039161.841 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039161.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.841 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039161.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.841 * [misc]taylor: Taking taylor expansion of k in n 1545039161.841 * [misc]backup-simplify: Simplify k into k 1545039161.841 * [misc]taylor: Taking taylor expansion of (log n) in n 1545039161.841 * [misc]taylor: Taking taylor expansion of n in n 1545039161.841 * [misc]backup-simplify: Simplify 0 into 0 1545039161.841 * [misc]backup-simplify: Simplify 1 into 1 1545039161.841 * [misc]backup-simplify: Simplify (log 1) into 0 1545039161.841 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039161.841 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039161.841 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039161.841 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039161.842 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545039161.842 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545039161.842 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.842 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.842 * [misc]taylor: Taking taylor expansion of k in n 1545039161.842 * [misc]backup-simplify: Simplify k into k 1545039161.842 * [misc]taylor: Taking taylor expansion of (log n) in n 1545039161.842 * [misc]taylor: Taking taylor expansion of n in n 1545039161.842 * [misc]backup-simplify: Simplify 0 into 0 1545039161.842 * [misc]backup-simplify: Simplify 1 into 1 1545039161.842 * [misc]backup-simplify: Simplify (log 1) into 0 1545039161.842 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039161.842 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039161.843 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039161.843 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039161.843 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545039161.843 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545039161.843 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545039161.843 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545039161.843 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545039161.843 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.843 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.843 * [misc]taylor: Taking taylor expansion of k in k 1545039161.843 * [misc]backup-simplify: Simplify 0 into 0 1545039161.844 * [misc]backup-simplify: Simplify 1 into 1 1545039161.844 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039161.844 * [misc]taylor: Taking taylor expansion of n in k 1545039161.844 * [misc]backup-simplify: Simplify n into n 1545039161.844 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039161.844 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.844 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.844 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.844 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545039161.844 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545039161.844 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545039161.847 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545039161.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545039161.847 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.848 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039161.848 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545039161.849 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039161.849 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.849 * [misc]backup-simplify: Simplify 0 into 0 1545039161.849 * [misc]backup-simplify: Simplify 0 into 0 1545039161.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039161.850 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039161.850 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.850 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545039161.851 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545039161.851 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545039161.856 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545039161.856 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545039161.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.857 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039161.857 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545039161.859 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039161.859 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.859 * [misc]backup-simplify: Simplify 0 into 0 1545039161.859 * [misc]backup-simplify: Simplify 0 into 0 1545039161.859 * [misc]backup-simplify: Simplify 0 into 0 1545039161.861 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039161.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039161.861 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545039161.863 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545039161.863 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545039161.864 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545039161.864 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.864 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545039161.864 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.864 * [misc]taylor: Taking taylor expansion of k in k 1545039161.864 * [misc]backup-simplify: Simplify 0 into 0 1545039161.864 * [misc]backup-simplify: Simplify 1 into 1 1545039161.865 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.865 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545039161.865 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545039161.865 * [misc]taylor: Taking taylor expansion of n in k 1545039161.865 * [misc]backup-simplify: Simplify n into n 1545039161.865 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545039161.865 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545039161.865 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.865 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.865 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.865 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545039161.866 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.866 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of k in n 1545039161.866 * [misc]backup-simplify: Simplify k into k 1545039161.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039161.866 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039161.866 * [misc]taylor: Taking taylor expansion of n in n 1545039161.866 * [misc]backup-simplify: Simplify 0 into 0 1545039161.866 * [misc]backup-simplify: Simplify 1 into 1 1545039161.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.867 * [misc]backup-simplify: Simplify (log 1) into 0 1545039161.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039161.867 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039161.867 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039161.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039161.867 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039161.867 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039161.867 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of k in n 1545039161.868 * [misc]backup-simplify: Simplify k into k 1545039161.868 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039161.868 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039161.868 * [misc]taylor: Taking taylor expansion of n in n 1545039161.868 * [misc]backup-simplify: Simplify 0 into 0 1545039161.868 * [misc]backup-simplify: Simplify 1 into 1 1545039161.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.868 * [misc]backup-simplify: Simplify (log 1) into 0 1545039161.868 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039161.869 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039161.869 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039161.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039161.869 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039161.869 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039161.869 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545039161.869 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545039161.869 * [misc]taylor: Taking taylor expansion of -1 in k 1545039161.869 * [misc]backup-simplify: Simplify -1 into -1 1545039161.869 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545039161.870 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039161.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.870 * [misc]taylor: Taking taylor expansion of k in k 1545039161.870 * [misc]backup-simplify: Simplify 0 into 0 1545039161.870 * [misc]backup-simplify: Simplify 1 into 1 1545039161.870 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.870 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039161.870 * [misc]taylor: Taking taylor expansion of n in k 1545039161.870 * [misc]backup-simplify: Simplify n into n 1545039161.870 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039161.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.871 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.871 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545039161.871 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545039161.871 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039161.871 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039161.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039161.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545039161.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039161.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039161.874 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039161.875 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545039161.876 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039161.876 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.876 * [misc]backup-simplify: Simplify 0 into 0 1545039161.876 * [misc]backup-simplify: Simplify 0 into 0 1545039161.876 * [misc]backup-simplify: Simplify 0 into 0 1545039161.877 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039161.886 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545039161.886 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039161.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039161.887 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.887 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039161.887 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545039161.889 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039161.889 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.889 * [misc]backup-simplify: Simplify 0 into 0 1545039161.889 * [misc]backup-simplify: Simplify 0 into 0 1545039161.889 * [misc]backup-simplify: Simplify 0 into 0 1545039161.889 * [misc]backup-simplify: Simplify 0 into 0 1545039161.890 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039161.897 * [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 1545039161.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039161.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039161.898 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.898 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039161.898 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545039161.902 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545039161.902 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.902 * [misc]backup-simplify: Simplify 0 into 0 1545039161.902 * [misc]backup-simplify: Simplify 0 into 0 1545039161.902 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545039161.902 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.902 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545039161.902 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039161.902 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545039161.902 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.903 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of k in k 1545039161.903 * [misc]backup-simplify: Simplify 0 into 0 1545039161.903 * [misc]backup-simplify: Simplify 1 into 1 1545039161.903 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.903 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545039161.903 * [misc]taylor: Taking taylor expansion of -1 in k 1545039161.903 * [misc]backup-simplify: Simplify -1 into -1 1545039161.903 * [misc]taylor: Taking taylor expansion of n in k 1545039161.903 * [misc]backup-simplify: Simplify n into n 1545039161.903 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545039161.903 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545039161.904 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.904 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.904 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545039161.904 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.904 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of k in n 1545039161.904 * [misc]backup-simplify: Simplify k into k 1545039161.904 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039161.904 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.904 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039161.904 * [misc]taylor: Taking taylor expansion of -1 in n 1545039161.905 * [misc]backup-simplify: Simplify -1 into -1 1545039161.905 * [misc]taylor: Taking taylor expansion of n in n 1545039161.905 * [misc]backup-simplify: Simplify 0 into 0 1545039161.905 * [misc]backup-simplify: Simplify 1 into 1 1545039161.905 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039161.905 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039161.905 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039161.905 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039161.905 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039161.906 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039161.906 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039161.906 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of k in n 1545039161.906 * [misc]backup-simplify: Simplify k into k 1545039161.906 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039161.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039161.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.906 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039161.906 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039161.907 * [misc]taylor: Taking taylor expansion of -1 in n 1545039161.907 * [misc]backup-simplify: Simplify -1 into -1 1545039161.907 * [misc]taylor: Taking taylor expansion of n in n 1545039161.907 * [misc]backup-simplify: Simplify 0 into 0 1545039161.907 * [misc]backup-simplify: Simplify 1 into 1 1545039161.907 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039161.907 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039161.907 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039161.907 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039161.908 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039161.908 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039161.908 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039161.908 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545039161.908 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545039161.908 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039161.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.908 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.909 * [misc]taylor: Taking taylor expansion of k in k 1545039161.909 * [misc]backup-simplify: Simplify 0 into 0 1545039161.909 * [misc]backup-simplify: Simplify 1 into 1 1545039161.909 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.909 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545039161.909 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545039161.909 * [misc]taylor: Taking taylor expansion of -1 in k 1545039161.909 * [misc]backup-simplify: Simplify -1 into -1 1545039161.909 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039161.909 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039161.909 * [misc]taylor: Taking taylor expansion of n in k 1545039161.909 * [misc]backup-simplify: Simplify n into n 1545039161.909 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039161.909 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.910 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.910 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545039161.910 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545039161.910 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545039161.910 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039161.911 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039161.911 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039161.914 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545039161.914 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039161.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039161.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039161.915 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545039161.916 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039161.916 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.916 * [misc]backup-simplify: Simplify 0 into 0 1545039161.916 * [misc]backup-simplify: Simplify 0 into 0 1545039161.916 * [misc]backup-simplify: Simplify 0 into 0 1545039161.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039161.921 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545039161.921 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039161.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545039161.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.922 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039161.923 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545039161.925 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545039161.925 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.925 * [misc]backup-simplify: Simplify 0 into 0 1545039161.925 * [misc]backup-simplify: Simplify 0 into 0 1545039161.925 * [misc]backup-simplify: Simplify 0 into 0 1545039161.925 * [misc]backup-simplify: Simplify 0 into 0 1545039161.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039161.932 * [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 1545039161.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545039161.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545039161.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.934 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039161.934 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545039161.938 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545039161.938 * [misc]taylor: Taking taylor expansion of 0 in k 1545039161.938 * [misc]backup-simplify: Simplify 0 into 0 1545039161.938 * [misc]backup-simplify: Simplify 0 into 0 1545039161.938 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545039161.938 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) 1545039161.938 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545039161.938 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545039161.938 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.939 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.939 * [misc]taylor: Taking taylor expansion of k in k 1545039161.939 * [misc]backup-simplify: Simplify 0 into 0 1545039161.939 * [misc]backup-simplify: Simplify 1 into 1 1545039161.939 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.939 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.939 * [misc]backup-simplify: Simplify PI into PI 1545039161.939 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.939 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.940 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.940 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.940 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039161.941 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039161.941 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.941 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.941 * [misc]taylor: Taking taylor expansion of k in k 1545039161.941 * [misc]backup-simplify: Simplify 0 into 0 1545039161.941 * [misc]backup-simplify: Simplify 1 into 1 1545039161.941 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.941 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.941 * [misc]backup-simplify: Simplify PI into PI 1545039161.942 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.942 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.942 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.942 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.943 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039161.943 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039161.944 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545039161.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039161.946 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039161.947 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.947 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545039161.951 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039161.952 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039161.956 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545039161.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039161.957 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039161.958 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545039161.962 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039161.964 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039161.967 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545039161.967 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.967 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545039161.967 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.967 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of k in k 1545039161.967 * [misc]backup-simplify: Simplify 0 into 0 1545039161.967 * [misc]backup-simplify: Simplify 1 into 1 1545039161.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.967 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.967 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.967 * [misc]backup-simplify: Simplify PI into PI 1545039161.968 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.968 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.968 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.968 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.969 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039161.969 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.969 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.969 * [misc]taylor: Taking taylor expansion of k in k 1545039161.969 * [misc]backup-simplify: Simplify 0 into 0 1545039161.970 * [misc]backup-simplify: Simplify 1 into 1 1545039161.970 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.970 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.970 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.970 * [misc]backup-simplify: Simplify PI into PI 1545039161.970 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.970 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.970 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.970 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.971 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039161.971 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.971 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545039161.972 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.972 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545039161.972 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.972 * [misc]taylor: Taking taylor expansion of k in k 1545039161.972 * [misc]backup-simplify: Simplify 0 into 0 1545039161.972 * [misc]backup-simplify: Simplify 1 into 1 1545039161.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.973 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.973 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.973 * [misc]backup-simplify: Simplify PI into PI 1545039161.973 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.973 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.974 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.974 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039161.974 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.974 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039161.974 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039161.974 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039161.975 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039161.975 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039161.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039161.975 * [misc]taylor: Taking taylor expansion of k in k 1545039161.975 * [misc]backup-simplify: Simplify 0 into 0 1545039161.975 * [misc]backup-simplify: Simplify 1 into 1 1545039161.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039161.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.975 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039161.975 * [misc]taylor: Taking taylor expansion of PI in k 1545039161.975 * [misc]backup-simplify: Simplify PI into PI 1545039161.975 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039161.975 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039161.976 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.976 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039161.976 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.977 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify 0 into 0 1545039161.977 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545039161.977 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1545039161.977 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) 1545039161.977 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1545039161.977 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039161.977 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.978 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.978 * [misc]taylor: Taking taylor expansion of k in k 1545039161.978 * [misc]backup-simplify: Simplify 0 into 0 1545039161.978 * [misc]backup-simplify: Simplify 1 into 1 1545039161.978 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039161.978 * [misc]taylor: Taking taylor expansion of 2 in k 1545039161.978 * [misc]backup-simplify: Simplify 2 into 2 1545039161.978 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039161.978 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.978 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.979 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.979 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039161.979 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545039161.980 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1545039161.980 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039161.980 * [misc]taylor: Taking taylor expansion of k in k 1545039161.980 * [misc]backup-simplify: Simplify 0 into 0 1545039161.980 * [misc]backup-simplify: Simplify 1 into 1 1545039161.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039161.981 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039161.981 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039161.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039161.981 * [misc]taylor: Taking taylor expansion of k in k 1545039161.981 * [misc]backup-simplify: Simplify 0 into 0 1545039161.981 * [misc]backup-simplify: Simplify 1 into 1 1545039161.981 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039161.981 * [misc]taylor: Taking taylor expansion of 2 in k 1545039161.981 * [misc]backup-simplify: Simplify 2 into 2 1545039161.981 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039161.982 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039161.982 * [misc]backup-simplify: Simplify (- 0) into 0 1545039161.982 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039161.982 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039161.983 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545039161.983 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1545039161.983 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039161.983 * [misc]taylor: Taking taylor expansion of k in k 1545039161.983 * [misc]backup-simplify: Simplify 0 into 0 1545039161.983 * [misc]backup-simplify: Simplify 1 into 1 1545039161.983 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039161.984 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039161.984 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) 0) into 0 1545039161.984 * [misc]backup-simplify: Simplify 0 into 0 1545039161.987 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039161.987 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039161.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039161.987 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039161.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545039161.991 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545039161.994 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 1545039161.997 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 0)) into (- (* +nan.0 (sqrt 1/2))) 1545039161.998 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545039161.999 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.003 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545039162.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039162.003 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.004 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545039162.008 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545039162.016 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 1545039162.026 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1545039162.030 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1545039162.031 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039162.038 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545039162.038 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545039162.038 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545039162.046 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1545039162.064 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 1545039162.089 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) +nan.0) (* (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1545039162.102 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1545039162.121 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) (pow k 2)) (* (- (* +nan.0 (sqrt 1/2))) k))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1545039162.121 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545039162.122 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1545039162.122 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of k in k 1545039162.122 * [misc]backup-simplify: Simplify 0 into 0 1545039162.122 * [misc]backup-simplify: Simplify 1 into 1 1545039162.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.122 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.122 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.122 * [misc]backup-simplify: Simplify 2 into 2 1545039162.122 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.123 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.123 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.123 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.123 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545039162.124 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.124 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.124 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039162.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.124 * [misc]taylor: Taking taylor expansion of k in k 1545039162.124 * [misc]backup-simplify: Simplify 0 into 0 1545039162.124 * [misc]backup-simplify: Simplify 1 into 1 1545039162.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.125 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.125 * [misc]taylor: Taking taylor expansion of k in k 1545039162.125 * [misc]backup-simplify: Simplify 0 into 0 1545039162.126 * [misc]backup-simplify: Simplify 1 into 1 1545039162.126 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.126 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.126 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.126 * [misc]backup-simplify: Simplify 2 into 2 1545039162.126 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.126 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.126 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.126 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.127 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545039162.127 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.127 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.127 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039162.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.127 * [misc]taylor: Taking taylor expansion of k in k 1545039162.127 * [misc]backup-simplify: Simplify 0 into 0 1545039162.127 * [misc]backup-simplify: Simplify 1 into 1 1545039162.128 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.128 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.128 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.129 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1545039162.129 * [misc]backup-simplify: Simplify 0 into 0 1545039162.129 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039162.130 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.130 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.130 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039162.132 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.132 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039162.133 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039162.135 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039162.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039162.137 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.137 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545039162.138 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1545039162.139 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.139 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1545039162.139 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039162.139 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039162.139 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039162.139 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.139 * [misc]backup-simplify: Simplify -1 into -1 1545039162.139 * [misc]taylor: Taking taylor expansion of k in k 1545039162.139 * [misc]backup-simplify: Simplify 0 into 0 1545039162.139 * [misc]backup-simplify: Simplify 1 into 1 1545039162.139 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.139 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.140 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039162.140 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of k in k 1545039162.140 * [misc]backup-simplify: Simplify 0 into 0 1545039162.140 * [misc]backup-simplify: Simplify 1 into 1 1545039162.140 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.140 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.140 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.140 * [misc]backup-simplify: Simplify 2 into 2 1545039162.140 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.141 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.141 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.141 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.141 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.142 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.142 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039162.142 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039162.142 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039162.142 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.142 * [misc]backup-simplify: Simplify -1 into -1 1545039162.142 * [misc]taylor: Taking taylor expansion of k in k 1545039162.142 * [misc]backup-simplify: Simplify 0 into 0 1545039162.142 * [misc]backup-simplify: Simplify 1 into 1 1545039162.142 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.143 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039162.143 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of k in k 1545039162.143 * [misc]backup-simplify: Simplify 0 into 0 1545039162.143 * [misc]backup-simplify: Simplify 1 into 1 1545039162.143 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.143 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.143 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.143 * [misc]backup-simplify: Simplify 2 into 2 1545039162.143 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.143 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.144 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.144 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.144 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.145 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.145 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039162.146 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.147 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039162.147 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039162.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039162.149 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039162.150 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039162.151 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545039162.152 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (/ 1 (- k))) (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1545039162.152 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545039162.153 * [misc]backup-simplify: Simplify (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)) 1545039162.153 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)) in (k n) around 0 1545039162.153 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.153 * [misc]taylor: Taking taylor expansion of k in n 1545039162.153 * [misc]backup-simplify: Simplify k into k 1545039162.153 * [misc]taylor: Taking taylor expansion of (log n) in n 1545039162.153 * [misc]taylor: Taking taylor expansion of n in n 1545039162.153 * [misc]backup-simplify: Simplify 0 into 0 1545039162.153 * [misc]backup-simplify: Simplify 1 into 1 1545039162.153 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.154 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039162.154 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039162.154 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039162.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039162.154 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545039162.154 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545039162.154 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.154 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039162.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.155 * [misc]taylor: Taking taylor expansion of k in n 1545039162.155 * [misc]backup-simplify: Simplify k into k 1545039162.155 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.155 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.155 * [misc]backup-simplify: Simplify 2 into 2 1545039162.155 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.155 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039162.155 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039162.155 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039162.155 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545039162.156 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545039162.156 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.156 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.156 * [misc]taylor: Taking taylor expansion of k in n 1545039162.156 * [misc]backup-simplify: Simplify k into k 1545039162.156 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.156 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.156 * [misc]backup-simplify: Simplify PI into PI 1545039162.156 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.156 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545039162.157 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545039162.157 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545039162.157 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545039162.157 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545039162.158 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545039162.158 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545039162.159 * [misc]backup-simplify: Simplify (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) into (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) 1545039162.159 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545039162.159 * [misc]taylor: Taking taylor expansion of k in n 1545039162.159 * [misc]backup-simplify: Simplify k into k 1545039162.159 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545039162.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545039162.159 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.159 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.159 * [misc]taylor: Taking taylor expansion of k in k 1545039162.159 * [misc]backup-simplify: Simplify 0 into 0 1545039162.159 * [misc]backup-simplify: Simplify 1 into 1 1545039162.160 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of n in k 1545039162.160 * [misc]backup-simplify: Simplify n into n 1545039162.160 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039162.160 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.160 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.160 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.160 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545039162.160 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545039162.160 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.161 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.161 * [misc]taylor: Taking taylor expansion of k in k 1545039162.161 * [misc]backup-simplify: Simplify 0 into 0 1545039162.161 * [misc]backup-simplify: Simplify 1 into 1 1545039162.161 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.161 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.161 * [misc]backup-simplify: Simplify 2 into 2 1545039162.161 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.161 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.161 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.161 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.162 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.162 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545039162.162 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039162.162 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039162.162 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039162.162 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.162 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.162 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.162 * [misc]taylor: Taking taylor expansion of k in k 1545039162.163 * [misc]backup-simplify: Simplify 0 into 0 1545039162.163 * [misc]backup-simplify: Simplify 1 into 1 1545039162.163 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.163 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.163 * [misc]backup-simplify: Simplify PI into PI 1545039162.163 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.163 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.163 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.163 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.164 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039162.165 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039162.165 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1545039162.166 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545039162.166 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (sqrt (* n PI)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545039162.166 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039162.166 * [misc]taylor: Taking taylor expansion of k in k 1545039162.166 * [misc]backup-simplify: Simplify 0 into 0 1545039162.166 * [misc]backup-simplify: Simplify 1 into 1 1545039162.166 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.167 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.167 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.167 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.167 * [misc]taylor: Taking taylor expansion of k in k 1545039162.167 * [misc]backup-simplify: Simplify 0 into 0 1545039162.168 * [misc]backup-simplify: Simplify 1 into 1 1545039162.168 * [misc]taylor: Taking taylor expansion of (log n) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of n in k 1545039162.168 * [misc]backup-simplify: Simplify n into n 1545039162.168 * [misc]backup-simplify: Simplify (log n) into (log n) 1545039162.168 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.168 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.168 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.168 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545039162.168 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545039162.168 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.169 * [misc]taylor: Taking taylor expansion of k in k 1545039162.169 * [misc]backup-simplify: Simplify 0 into 0 1545039162.169 * [misc]backup-simplify: Simplify 1 into 1 1545039162.169 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.169 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.169 * [misc]backup-simplify: Simplify 2 into 2 1545039162.169 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.169 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.169 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.169 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.170 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.170 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545039162.170 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545039162.170 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545039162.170 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545039162.170 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545039162.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.170 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545039162.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.170 * [misc]taylor: Taking taylor expansion of k in k 1545039162.171 * [misc]backup-simplify: Simplify 0 into 0 1545039162.171 * [misc]backup-simplify: Simplify 1 into 1 1545039162.171 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.171 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.171 * [misc]backup-simplify: Simplify PI into PI 1545039162.171 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.171 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545039162.171 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.171 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.172 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039162.173 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545039162.173 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1545039162.174 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545039162.174 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (sqrt (* n PI)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545039162.174 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545039162.174 * [misc]taylor: Taking taylor expansion of k in k 1545039162.174 * [misc]backup-simplify: Simplify 0 into 0 1545039162.174 * [misc]backup-simplify: Simplify 1 into 1 1545039162.175 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.175 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.176 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1545039162.176 * [misc]taylor: Taking taylor expansion of 0 in n 1545039162.176 * [misc]backup-simplify: Simplify 0 into 0 1545039162.176 * [misc]backup-simplify: Simplify 0 into 0 1545039162.178 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039162.178 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039162.178 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.179 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545039162.183 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545039162.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039162.185 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039162.185 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.185 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545039162.189 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545039162.192 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1545039162.193 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545039162.193 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545039162.193 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545039162.194 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545039162.200 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1545039162.203 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* (sqrt 2) (sqrt (* n PI))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) 1545039162.206 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545039162.206 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1545039162.206 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039162.206 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.206 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.206 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039162.206 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545039162.206 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039162.206 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.206 * [misc]backup-simplify: Simplify 2 into 2 1545039162.206 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039162.207 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039162.207 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545039162.207 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039162.207 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039162.207 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039162.207 * [misc]taylor: Taking taylor expansion of n in n 1545039162.207 * [misc]backup-simplify: Simplify 0 into 0 1545039162.207 * [misc]backup-simplify: Simplify 1 into 1 1545039162.207 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.207 * [misc]backup-simplify: Simplify PI into PI 1545039162.208 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039162.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039162.211 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039162.211 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.212 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039162.212 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039162.214 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.214 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545039162.216 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.218 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.219 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.220 * [misc]backup-simplify: Simplify 0 into 0 1545039162.221 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.225 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545039162.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039162.226 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545039162.231 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545039162.234 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545039162.234 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039162.234 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.234 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545039162.237 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545039162.241 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1545039162.242 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545039162.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545039162.242 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545039162.243 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545039162.251 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1545039162.258 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) (* (sqrt 2) (sqrt (* n PI))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* (sqrt 2) (sqrt (* n PI))))))) into (+ (* 1/8 (* (/ (pow (log n) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/4 (* (/ (* (log 2) (log n)) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/4 (* (/ (* (log PI) (log n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1545039162.265 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (* 1/2 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (/ (pow (log n) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/4 (* (/ (* (log 2) (log n)) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/4 (* (/ (* (log PI) (log n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))))))))) 1545039162.265 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))))))))) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))))))))) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.265 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.265 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.265 * [misc]backup-simplify: Simplify PI into PI 1545039162.265 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.265 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039162.265 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.265 * [misc]backup-simplify: Simplify 2 into 2 1545039162.266 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039162.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039162.266 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1545039162.266 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545039162.267 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545039162.267 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545039162.267 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.267 * [misc]backup-simplify: Simplify PI into PI 1545039162.267 * [misc]taylor: Taking taylor expansion of n in n 1545039162.267 * [misc]backup-simplify: Simplify 0 into 0 1545039162.267 * [misc]backup-simplify: Simplify 1 into 1 1545039162.267 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545039162.268 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545039162.268 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039162.268 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.269 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039162.269 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))))))) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))))))) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.269 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.269 * [misc]taylor: Taking taylor expansion of (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of (/ (log 2) (sqrt 2)) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.269 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.269 * [misc]backup-simplify: Simplify 2 into 2 1545039162.270 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.270 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039162.270 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.270 * [misc]backup-simplify: Simplify 2 into 2 1545039162.270 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039162.270 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039162.271 * [misc]backup-simplify: Simplify (/ (log 2) (sqrt 2)) into (/ (log 2) (sqrt 2)) 1545039162.271 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039162.271 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039162.271 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039162.271 * [misc]taylor: Taking taylor expansion of n in n 1545039162.271 * [misc]backup-simplify: Simplify 0 into 0 1545039162.271 * [misc]backup-simplify: Simplify 1 into 1 1545039162.271 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.271 * [misc]backup-simplify: Simplify PI into PI 1545039162.271 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039162.272 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039162.272 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039162.272 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.273 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039162.273 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))))) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))))) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.273 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.273 * [misc]taylor: Taking taylor expansion of (* (/ (log n) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of (/ (log n) (sqrt 2)) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of (log n) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of n in n 1545039162.273 * [misc]backup-simplify: Simplify 0 into 0 1545039162.273 * [misc]backup-simplify: Simplify 1 into 1 1545039162.273 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.273 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039162.273 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.274 * [misc]backup-simplify: Simplify 2 into 2 1545039162.274 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039162.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039162.274 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039162.274 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545039162.275 * [misc]backup-simplify: Simplify (/ (log n) (sqrt 2)) into (/ (log n) (sqrt 2)) 1545039162.275 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039162.275 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039162.275 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039162.275 * [misc]taylor: Taking taylor expansion of n in n 1545039162.275 * [misc]backup-simplify: Simplify 0 into 0 1545039162.275 * [misc]backup-simplify: Simplify 1 into 1 1545039162.275 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.275 * [misc]backup-simplify: Simplify PI into PI 1545039162.275 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039162.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039162.276 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039162.276 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.276 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039162.276 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1545039162.276 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545039162.276 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.276 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545039162.276 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545039162.276 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545039162.276 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.276 * [misc]backup-simplify: Simplify 2 into 2 1545039162.276 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545039162.277 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545039162.277 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545039162.277 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545039162.277 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545039162.277 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545039162.277 * [misc]taylor: Taking taylor expansion of n in n 1545039162.277 * [misc]backup-simplify: Simplify 0 into 0 1545039162.277 * [misc]backup-simplify: Simplify 1 into 1 1545039162.277 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.277 * [misc]backup-simplify: Simplify PI into PI 1545039162.277 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545039162.277 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545039162.278 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545039162.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.278 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545039162.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039162.281 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039162.282 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545039162.282 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1545039162.284 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545039162.285 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039162.285 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039162.286 * [misc]backup-simplify: Simplify (+ (* (/ (log 2) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log 2) (* (sqrt 2) PI)))) 1545039162.286 * [misc]backup-simplify: Simplify (* (/ (log 2) (sqrt 2)) 0) into 0 1545039162.288 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log 2) (* (sqrt 2) PI)))) 1545039162.289 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545039162.290 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log n) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039162.290 * [misc]backup-simplify: Simplify (+ (* (/ (log n) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) 1545039162.290 * [misc]backup-simplify: Simplify (* (/ (log n) (sqrt 2)) 0) into 0 1545039162.291 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) 1545039162.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545039162.292 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.292 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545039162.293 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.294 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545039162.295 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))) (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545039162.296 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545039162.298 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545039162.300 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545039162.302 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039162.306 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039162.309 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545039162.309 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545039162.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545039162.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545039162.312 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545039162.313 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1545039162.315 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039162.320 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039162.322 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039162.324 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545039162.332 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545039162.333 * [misc]backup-simplify: Simplify (* (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ 1 (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (sqrt (/ 1 k))) 1545039162.333 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (sqrt (/ 1 k))) in (k n) around 0 1545039162.333 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (sqrt (/ 1 k))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.334 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.334 * [misc]taylor: Taking taylor expansion of k in n 1545039162.334 * [misc]backup-simplify: Simplify k into k 1545039162.334 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.334 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.334 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.334 * [misc]backup-simplify: Simplify 2 into 2 1545039162.334 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.334 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.334 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.335 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.335 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.335 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of k in n 1545039162.335 * [misc]backup-simplify: Simplify k into k 1545039162.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.335 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.335 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.335 * [misc]backup-simplify: Simplify PI into PI 1545039162.336 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.336 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.336 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.336 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.336 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039162.336 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.336 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.336 * [misc]taylor: Taking taylor expansion of k in n 1545039162.336 * [misc]backup-simplify: Simplify k into k 1545039162.336 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.336 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039162.337 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039162.337 * [misc]taylor: Taking taylor expansion of n in n 1545039162.337 * [misc]backup-simplify: Simplify 0 into 0 1545039162.337 * [misc]backup-simplify: Simplify 1 into 1 1545039162.337 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.337 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.337 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.337 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.337 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039162.337 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039162.337 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039162.337 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.338 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.338 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.338 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545039162.338 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.338 * [misc]taylor: Taking taylor expansion of k in n 1545039162.338 * [misc]backup-simplify: Simplify k into k 1545039162.338 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.338 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545039162.338 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.338 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545039162.338 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (sqrt (/ 1 k))) in k 1545039162.338 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in k 1545039162.338 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.339 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of k in k 1545039162.339 * [misc]backup-simplify: Simplify 0 into 0 1545039162.339 * [misc]backup-simplify: Simplify 1 into 1 1545039162.339 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.339 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.339 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.339 * [misc]backup-simplify: Simplify 2 into 2 1545039162.339 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.339 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.339 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.339 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.339 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545039162.340 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.340 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.340 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of k in k 1545039162.340 * [misc]backup-simplify: Simplify 0 into 0 1545039162.340 * [misc]backup-simplify: Simplify 1 into 1 1545039162.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.340 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.340 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.340 * [misc]backup-simplify: Simplify PI into PI 1545039162.340 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.340 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.340 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.341 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.341 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039162.341 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.341 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of k in k 1545039162.341 * [misc]backup-simplify: Simplify 0 into 0 1545039162.341 * [misc]backup-simplify: Simplify 1 into 1 1545039162.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.341 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545039162.341 * [misc]taylor: Taking taylor expansion of n in k 1545039162.342 * [misc]backup-simplify: Simplify n into n 1545039162.342 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545039162.342 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545039162.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.342 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545039162.342 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.342 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.342 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.343 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.343 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039162.343 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.343 * [misc]taylor: Taking taylor expansion of k in k 1545039162.343 * [misc]backup-simplify: Simplify 0 into 0 1545039162.343 * [misc]backup-simplify: Simplify 1 into 1 1545039162.343 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.343 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.343 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.343 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (sqrt (/ 1 k))) in k 1545039162.343 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.344 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.344 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of k in k 1545039162.344 * [misc]backup-simplify: Simplify 0 into 0 1545039162.344 * [misc]backup-simplify: Simplify 1 into 1 1545039162.344 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.344 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.344 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.344 * [misc]backup-simplify: Simplify 2 into 2 1545039162.344 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.344 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.344 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.344 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.344 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545039162.345 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.345 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of k in k 1545039162.345 * [misc]backup-simplify: Simplify 0 into 0 1545039162.345 * [misc]backup-simplify: Simplify 1 into 1 1545039162.345 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.345 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.345 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.345 * [misc]backup-simplify: Simplify PI into PI 1545039162.345 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.345 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.345 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.346 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.346 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545039162.346 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.346 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of k in k 1545039162.346 * [misc]backup-simplify: Simplify 0 into 0 1545039162.346 * [misc]backup-simplify: Simplify 1 into 1 1545039162.346 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.346 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545039162.346 * [misc]taylor: Taking taylor expansion of n in k 1545039162.346 * [misc]backup-simplify: Simplify n into n 1545039162.346 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545039162.347 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545039162.347 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.347 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545039162.347 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545039162.347 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545039162.347 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.347 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.347 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.348 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545039162.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.348 * [misc]taylor: Taking taylor expansion of k in k 1545039162.348 * [misc]backup-simplify: Simplify 0 into 0 1545039162.348 * [misc]backup-simplify: Simplify 1 into 1 1545039162.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.348 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545039162.349 * [misc]backup-simplify: Simplify (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) 0) into 0 1545039162.349 * [misc]taylor: Taking taylor expansion of 0 in n 1545039162.349 * [misc]backup-simplify: Simplify 0 into 0 1545039162.349 * [misc]backup-simplify: Simplify 0 into 0 1545039162.349 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545039162.349 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545039162.350 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))))) into 0 1545039162.350 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.350 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) in n 1545039162.350 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039162.350 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.351 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.351 * [misc]backup-simplify: Simplify 2 into 2 1545039162.351 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.351 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.351 * [misc]taylor: Taking taylor expansion of k in n 1545039162.351 * [misc]backup-simplify: Simplify k into k 1545039162.351 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.351 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.351 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.351 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.351 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.351 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.351 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of k in n 1545039162.352 * [misc]backup-simplify: Simplify k into k 1545039162.352 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.352 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.352 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.352 * [misc]backup-simplify: Simplify PI into PI 1545039162.352 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.352 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.352 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.352 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.352 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039162.353 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.353 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.353 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.353 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of k in n 1545039162.353 * [misc]backup-simplify: Simplify k into k 1545039162.353 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.353 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039162.353 * [misc]taylor: Taking taylor expansion of n in n 1545039162.353 * [misc]backup-simplify: Simplify 0 into 0 1545039162.353 * [misc]backup-simplify: Simplify 1 into 1 1545039162.353 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.353 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.353 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.353 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.353 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039162.354 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039162.354 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039162.354 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.354 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.355 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.355 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.355 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.356 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.356 * [misc]backup-simplify: Simplify 0 into 0 1545039162.356 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039162.357 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.357 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545039162.357 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039162.358 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))))) into 0 1545039162.359 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.359 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.359 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.359 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.359 * [misc]backup-simplify: Simplify 2 into 2 1545039162.359 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.359 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.359 * [misc]taylor: Taking taylor expansion of k in n 1545039162.359 * [misc]backup-simplify: Simplify k into k 1545039162.359 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.359 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.359 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.360 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.360 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.360 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.360 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.360 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.360 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of k in n 1545039162.360 * [misc]backup-simplify: Simplify k into k 1545039162.360 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.360 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.360 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.360 * [misc]backup-simplify: Simplify PI into PI 1545039162.360 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.360 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.360 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.361 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.361 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039162.361 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.361 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.361 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.361 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of k in n 1545039162.361 * [misc]backup-simplify: Simplify k into k 1545039162.361 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.361 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039162.361 * [misc]taylor: Taking taylor expansion of n in n 1545039162.361 * [misc]backup-simplify: Simplify 0 into 0 1545039162.361 * [misc]backup-simplify: Simplify 1 into 1 1545039162.361 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.362 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.362 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.362 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.362 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039162.362 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039162.362 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039162.362 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.362 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.363 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.363 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.364 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.364 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545039162.366 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545039162.366 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.366 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039162.366 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545039162.367 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039162.369 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.369 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.369 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.370 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545039162.370 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.371 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545039162.371 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.371 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039162.373 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545039162.373 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.374 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545039162.374 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) (/ 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))))) into 0 1545039162.375 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039162.375 * [misc]backup-simplify: Simplify (- 0) into 0 1545039162.375 * [misc]backup-simplify: Simplify 0 into 0 1545039162.375 * [misc]backup-simplify: Simplify 0 into 0 1545039162.375 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039162.377 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039162.377 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545039162.378 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545039162.380 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))))) into 0 1545039162.381 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.381 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) in n 1545039162.381 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545039162.381 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.381 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.381 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545039162.381 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.382 * [misc]backup-simplify: Simplify 2 into 2 1545039162.382 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.382 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.382 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.382 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.382 * [misc]taylor: Taking taylor expansion of k in n 1545039162.382 * [misc]backup-simplify: Simplify k into k 1545039162.382 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.382 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.382 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.383 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.383 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.383 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of k in n 1545039162.383 * [misc]backup-simplify: Simplify k into k 1545039162.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.383 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.383 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.383 * [misc]backup-simplify: Simplify PI into PI 1545039162.384 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.384 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.384 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.384 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545039162.385 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545039162.385 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of k in n 1545039162.385 * [misc]backup-simplify: Simplify k into k 1545039162.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.385 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545039162.385 * [misc]taylor: Taking taylor expansion of n in n 1545039162.385 * [misc]backup-simplify: Simplify 0 into 0 1545039162.385 * [misc]backup-simplify: Simplify 1 into 1 1545039162.385 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.386 * [misc]backup-simplify: Simplify (log 1) into 0 1545039162.386 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.386 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545039162.386 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545039162.386 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545039162.386 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545039162.386 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545039162.387 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545039162.387 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545039162.388 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.389 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1545039162.389 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.390 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) 1545039162.393 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2))))))))))) 1545039162.393 * [misc]backup-simplify: Simplify (* (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ 1 (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.393 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in (k n) around 0 1545039162.393 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of -1 in n 1545039162.394 * [misc]backup-simplify: Simplify -1 into -1 1545039162.394 * [misc]taylor: Taking taylor expansion of k in n 1545039162.394 * [misc]backup-simplify: Simplify k into k 1545039162.394 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545039162.394 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545039162.394 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545039162.394 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545039162.394 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.394 * [misc]taylor: Taking taylor expansion of k in n 1545039162.394 * [misc]backup-simplify: Simplify k into k 1545039162.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.395 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039162.395 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039162.395 * [misc]taylor: Taking taylor expansion of -1 in n 1545039162.395 * [misc]backup-simplify: Simplify -1 into -1 1545039162.395 * [misc]taylor: Taking taylor expansion of n in n 1545039162.395 * [misc]backup-simplify: Simplify 0 into 0 1545039162.395 * [misc]backup-simplify: Simplify 1 into 1 1545039162.395 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.395 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039162.395 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.395 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.396 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039162.396 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039162.396 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039162.396 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.397 * [misc]taylor: Taking taylor expansion of k in n 1545039162.397 * [misc]backup-simplify: Simplify k into k 1545039162.397 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.397 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.397 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.397 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.397 * [misc]backup-simplify: Simplify 2 into 2 1545039162.397 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.397 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.397 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.397 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.398 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.398 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of k in n 1545039162.398 * [misc]backup-simplify: Simplify k into k 1545039162.398 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.398 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.398 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.398 * [misc]backup-simplify: Simplify PI into PI 1545039162.399 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.399 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.399 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.399 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039162.400 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.400 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.401 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.401 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ (sqrt (/ -1 k)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.401 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k 1545039162.402 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039162.402 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039162.402 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.402 * [misc]backup-simplify: Simplify -1 into -1 1545039162.402 * [misc]taylor: Taking taylor expansion of k in k 1545039162.402 * [misc]backup-simplify: Simplify 0 into 0 1545039162.402 * [misc]backup-simplify: Simplify 1 into 1 1545039162.402 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.402 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.402 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039162.402 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.403 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of k in k 1545039162.403 * [misc]backup-simplify: Simplify 0 into 0 1545039162.403 * [misc]backup-simplify: Simplify 1 into 1 1545039162.403 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.403 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.403 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545039162.403 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.403 * [misc]backup-simplify: Simplify -1 into -1 1545039162.403 * [misc]taylor: Taking taylor expansion of n in k 1545039162.403 * [misc]backup-simplify: Simplify n into n 1545039162.403 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545039162.403 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545039162.403 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.404 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.404 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545039162.404 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.404 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of k in k 1545039162.404 * [misc]backup-simplify: Simplify 0 into 0 1545039162.404 * [misc]backup-simplify: Simplify 1 into 1 1545039162.404 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.404 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.404 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.404 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.404 * [misc]backup-simplify: Simplify 2 into 2 1545039162.404 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.404 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.404 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.405 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.405 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.405 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of k in k 1545039162.405 * [misc]backup-simplify: Simplify 0 into 0 1545039162.405 * [misc]backup-simplify: Simplify 1 into 1 1545039162.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.405 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.405 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.405 * [misc]backup-simplify: Simplify PI into PI 1545039162.405 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.405 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.406 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.406 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039162.406 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.406 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.407 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.407 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.407 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in k 1545039162.407 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545039162.407 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545039162.407 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.407 * [misc]backup-simplify: Simplify -1 into -1 1545039162.407 * [misc]taylor: Taking taylor expansion of k in k 1545039162.407 * [misc]backup-simplify: Simplify 0 into 0 1545039162.407 * [misc]backup-simplify: Simplify 1 into 1 1545039162.407 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.407 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545039162.408 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545039162.408 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of k in k 1545039162.408 * [misc]backup-simplify: Simplify 0 into 0 1545039162.408 * [misc]backup-simplify: Simplify 1 into 1 1545039162.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.408 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545039162.408 * [misc]taylor: Taking taylor expansion of -1 in k 1545039162.408 * [misc]backup-simplify: Simplify -1 into -1 1545039162.408 * [misc]taylor: Taking taylor expansion of n in k 1545039162.408 * [misc]backup-simplify: Simplify n into n 1545039162.408 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545039162.408 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545039162.408 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.408 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.408 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545039162.409 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.409 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of k in k 1545039162.409 * [misc]backup-simplify: Simplify 0 into 0 1545039162.409 * [misc]backup-simplify: Simplify 1 into 1 1545039162.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.409 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545039162.409 * [misc]taylor: Taking taylor expansion of 2 in k 1545039162.409 * [misc]backup-simplify: Simplify 2 into 2 1545039162.409 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.409 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.409 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545039162.410 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.410 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.410 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of k in k 1545039162.410 * [misc]backup-simplify: Simplify 0 into 0 1545039162.410 * [misc]backup-simplify: Simplify 1 into 1 1545039162.410 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545039162.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545039162.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.410 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545039162.410 * [misc]taylor: Taking taylor expansion of PI in k 1545039162.410 * [misc]backup-simplify: Simplify PI into PI 1545039162.410 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.410 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545039162.410 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545039162.411 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545039162.411 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.411 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.411 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.412 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.412 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.412 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.412 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.412 * [misc]backup-simplify: Simplify 2 into 2 1545039162.412 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.412 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.412 * [misc]taylor: Taking taylor expansion of k in n 1545039162.412 * [misc]backup-simplify: Simplify k into k 1545039162.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.412 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.412 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.413 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.413 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.413 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of k in n 1545039162.413 * [misc]backup-simplify: Simplify k into k 1545039162.413 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.413 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039162.413 * [misc]taylor: Taking taylor expansion of -1 in n 1545039162.413 * [misc]backup-simplify: Simplify -1 into -1 1545039162.413 * [misc]taylor: Taking taylor expansion of n in n 1545039162.413 * [misc]backup-simplify: Simplify 0 into 0 1545039162.413 * [misc]backup-simplify: Simplify 1 into 1 1545039162.413 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.413 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039162.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.413 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.414 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039162.414 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039162.414 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039162.414 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of k in n 1545039162.414 * [misc]backup-simplify: Simplify k into k 1545039162.414 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.414 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.414 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.414 * [misc]backup-simplify: Simplify PI into PI 1545039162.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.415 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.415 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039162.415 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.415 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.416 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.416 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.417 * [misc]backup-simplify: Simplify (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039162.418 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545039162.418 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545039162.418 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545039162.419 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (+ (* (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.419 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n 1545039162.419 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.420 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.420 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of k in n 1545039162.420 * [misc]backup-simplify: Simplify k into k 1545039162.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.420 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039162.420 * [misc]taylor: Taking taylor expansion of -1 in n 1545039162.420 * [misc]backup-simplify: Simplify -1 into -1 1545039162.420 * [misc]taylor: Taking taylor expansion of n in n 1545039162.420 * [misc]backup-simplify: Simplify 0 into 0 1545039162.420 * [misc]backup-simplify: Simplify 1 into 1 1545039162.420 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.420 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039162.420 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.420 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039162.421 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039162.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039162.421 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.421 * [misc]backup-simplify: Simplify 2 into 2 1545039162.421 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.421 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.421 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.421 * [misc]taylor: Taking taylor expansion of k in n 1545039162.421 * [misc]backup-simplify: Simplify k into k 1545039162.421 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.421 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.422 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.422 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.422 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.422 * [misc]taylor: Taking taylor expansion of k in n 1545039162.422 * [misc]backup-simplify: Simplify k into k 1545039162.422 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.422 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.423 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.423 * [misc]backup-simplify: Simplify PI into PI 1545039162.423 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.424 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.424 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.424 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039162.424 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.424 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.425 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.425 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.426 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.426 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.427 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.428 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545039162.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.429 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545039162.430 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545039162.431 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545039162.431 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.431 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.432 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039162.432 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545039162.434 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.434 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545039162.434 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545039162.435 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545039162.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545039162.437 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545039162.437 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545039162.439 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545039162.439 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545039162.442 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (+ (* (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into 0 1545039162.442 * [misc]backup-simplify: Simplify 0 into 0 1545039162.442 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545039162.443 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545039162.444 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545039162.445 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545039162.447 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (+ (* (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) (/ 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.448 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545039162.448 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545039162.448 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of k in n 1545039162.448 * [misc]backup-simplify: Simplify k into k 1545039162.448 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.448 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545039162.448 * [misc]taylor: Taking taylor expansion of -1 in n 1545039162.448 * [misc]backup-simplify: Simplify -1 into -1 1545039162.448 * [misc]taylor: Taking taylor expansion of n in n 1545039162.448 * [misc]backup-simplify: Simplify 0 into 0 1545039162.448 * [misc]backup-simplify: Simplify 1 into 1 1545039162.449 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545039162.449 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545039162.449 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.449 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545039162.450 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545039162.450 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545039162.450 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of 2 in n 1545039162.450 * [misc]backup-simplify: Simplify 2 into 2 1545039162.450 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545039162.450 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.451 * [misc]taylor: Taking taylor expansion of k in n 1545039162.451 * [misc]backup-simplify: Simplify k into k 1545039162.451 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.451 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.451 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.451 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.451 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.451 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.451 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.452 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of k in n 1545039162.452 * [misc]backup-simplify: Simplify k into k 1545039162.452 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545039162.452 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545039162.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545039162.452 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545039162.452 * [misc]taylor: Taking taylor expansion of PI in n 1545039162.452 * [misc]backup-simplify: Simplify PI into PI 1545039162.452 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545039162.452 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545039162.452 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545039162.453 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545039162.453 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545039162.454 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545039162.454 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545039162.455 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.456 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545039162.456 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.456 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) 1545039162.458 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2))))))))))) 1545039162.458 * * * [misc]progress: simplifying candidates 1545039162.458 * * * * [misc]progress: [ 1 / 151 ] simplifiying candidate # 1545039162.459 * * * * [misc]progress: [ 2 / 151 ] simplifiying candidate # 1545039162.459 * [enter]simplify: Simplifying (pow n (/ k 2)) 1545039162.459 * * [misc]simplify: iters left: 3 (5 enodes) 1545039162.460 * [exit]simplify: Simplified to (pow n (/ k 2)) 1545039162.460 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (/ (pow n 1/2) (pow n (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.460 * * * * [misc]progress: [ 3 / 151 ] simplifiying candidate # 1545039162.460 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039162.460 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.461 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.462 * * [misc]simplify: iters left: 3 (11 enodes) 1545039162.463 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039162.463 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.463 * * * * [misc]progress: [ 4 / 151 ] simplifiying candidate # 1545039162.463 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039162.464 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.464 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.465 * * [misc]simplify: iters left: 3 (11 enodes) 1545039162.467 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039162.467 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.467 * * * * [misc]progress: [ 5 / 151 ] simplifiying candidate # 1545039162.467 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039162.467 * * [misc]simplify: iters left: 4 (5 enodes) 1545039162.468 * * [misc]simplify: iters left: 3 (7 enodes) 1545039162.469 * * [misc]simplify: iters left: 2 (10 enodes) 1545039162.470 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039162.470 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (pow n 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.470 * * * * [misc]progress: [ 6 / 151 ] simplifiying candidate # 1545039162.471 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1545039162.471 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.471 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.473 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1545039162.473 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.473 * * * * [misc]progress: [ 7 / 151 ] simplifiying candidate # 1545039162.473 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1545039162.473 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.474 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.475 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1545039162.475 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.475 * * * * [misc]progress: [ 8 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 9 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 10 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 11 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 12 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 13 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 14 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 15 / 151 ] simplifiying candidate # 1545039162.475 * * * * [misc]progress: [ 16 / 151 ] simplifiying candidate # 1545039162.475 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545039162.475 * * [misc]simplify: iters left: 3 (5 enodes) 1545039162.476 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545039162.476 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.476 * * * * [misc]progress: [ 17 / 151 ] simplifiying candidate # 1545039162.476 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545039162.476 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.477 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.478 * * [misc]simplify: iters left: 3 (11 enodes) 1545039162.480 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545039162.480 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.480 * * * * [misc]progress: [ 18 / 151 ] simplifiying candidate # 1545039162.480 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545039162.480 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.481 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.482 * * [misc]simplify: iters left: 3 (11 enodes) 1545039162.483 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545039162.483 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.483 * * * * [misc]progress: [ 19 / 151 ] simplifiying candidate # 1545039162.484 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545039162.484 * * [misc]simplify: iters left: 4 (5 enodes) 1545039162.485 * * [misc]simplify: iters left: 3 (7 enodes) 1545039162.487 * * [misc]simplify: iters left: 2 (10 enodes) 1545039162.490 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545039162.490 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.490 * * * * [misc]progress: [ 20 / 151 ] simplifiying candidate # 1545039162.490 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545039162.490 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.492 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.494 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545039162.494 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.494 * * * * [misc]progress: [ 21 / 151 ] simplifiying candidate # 1545039162.494 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545039162.495 * * [misc]simplify: iters left: 5 (6 enodes) 1545039162.496 * * [misc]simplify: iters left: 4 (8 enodes) 1545039162.499 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545039162.499 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039162.499 * * * * [misc]progress: [ 22 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 23 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 24 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 25 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 26 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 27 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 28 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 29 / 151 ] simplifiying candidate # 1545039162.499 * * * * [misc]progress: [ 30 / 151 ] simplifiying candidate # 1545039162.500 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))) 1545039162.500 * * [misc]simplify: iters left: 6 (10 enodes) 1545039162.504 * * [misc]simplify: iters left: 5 (15 enodes) 1545039162.508 * * [misc]simplify: iters left: 4 (31 enodes) 1545039162.514 * * [misc]simplify: iters left: 3 (64 enodes) 1545039162.524 * * [misc]simplify: iters left: 2 (110 enodes) 1545039162.542 * * [misc]simplify: iters left: 1 (153 enodes) 1545039162.562 * [exit]simplify: Simplified to (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k))) 1545039162.562 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k))))))) 1545039162.562 * * * * [misc]progress: [ 31 / 151 ] simplifiying candidate # 1545039162.562 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))) 1545039162.563 * * [misc]simplify: iters left: 6 (10 enodes) 1545039162.564 * * [misc]simplify: iters left: 5 (16 enodes) 1545039162.567 * * [misc]simplify: iters left: 4 (25 enodes) 1545039162.571 * * [misc]simplify: iters left: 3 (40 enodes) 1545039162.578 * * [misc]simplify: iters left: 2 (85 enodes) 1545039162.590 * * [misc]simplify: iters left: 1 (127 enodes) 1545039162.619 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k))) 1545039162.619 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k))))))) 1545039162.619 * * * * [misc]progress: [ 32 / 151 ] simplifiying candidate # 1545039162.619 * * * * [misc]progress: [ 33 / 151 ] simplifiying candidate # 1545039162.619 * * * * [misc]progress: [ 34 / 151 ] simplifiying candidate # 1545039162.619 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1545039162.619 * * [misc]simplify: iters left: 6 (12 enodes) 1545039162.621 * * [misc]simplify: iters left: 5 (23 enodes) 1545039162.625 * * [misc]simplify: iters left: 4 (56 enodes) 1545039162.635 * * [misc]simplify: iters left: 3 (118 enodes) 1545039162.662 * * [misc]simplify: iters left: 2 (201 enodes) 1545039162.743 * * [misc]simplify: iters left: 1 (281 enodes) 1545039162.893 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1545039162.893 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1545039162.893 * * * * [misc]progress: [ 35 / 151 ] simplifiying candidate # 1545039162.893 * * * * [misc]progress: [ 36 / 151 ] simplifiying candidate # 1545039162.893 * * * * [misc]progress: [ 37 / 151 ] simplifiying candidate # 1545039162.894 * * * * [misc]progress: [ 38 / 151 ] simplifiying candidate # 1545039162.894 * * * * [misc]progress: [ 39 / 151 ] simplifiying candidate # 1545039162.894 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1545039162.894 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.898 * * [misc]simplify: iters left: 5 (11 enodes) 1545039162.901 * * [misc]simplify: iters left: 4 (13 enodes) 1545039162.903 * * [misc]simplify: iters left: 3 (14 enodes) 1545039162.906 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1545039162.906 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1545039162.906 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039162.906 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.907 * * [misc]simplify: iters left: 5 (10 enodes) 1545039162.909 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039162.909 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1545039162.909 * * * * [misc]progress: [ 40 / 151 ] simplifiying candidate # 1545039162.909 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1545039162.909 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.911 * * [misc]simplify: iters left: 5 (11 enodes) 1545039162.913 * * [misc]simplify: iters left: 4 (13 enodes) 1545039162.915 * * [misc]simplify: iters left: 3 (14 enodes) 1545039162.918 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1545039162.918 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1545039162.918 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039162.918 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.919 * * [misc]simplify: iters left: 5 (10 enodes) 1545039162.920 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039162.920 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1545039162.920 * * * * [misc]progress: [ 41 / 151 ] simplifiying candidate # 1545039162.921 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039162.921 * * [misc]simplify: iters left: 6 (12 enodes) 1545039162.923 * * [misc]simplify: iters left: 5 (20 enodes) 1545039162.925 * * [misc]simplify: iters left: 4 (32 enodes) 1545039162.930 * * [misc]simplify: iters left: 3 (35 enodes) 1545039162.934 * * [misc]simplify: iters left: 2 (38 enodes) 1545039162.938 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039162.939 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039162.939 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.939 * * [misc]simplify: iters left: 6 (10 enodes) 1545039162.940 * * [misc]simplify: iters left: 5 (12 enodes) 1545039162.942 * * [misc]simplify: iters left: 4 (15 enodes) 1545039162.944 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.944 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039162.944 * * * * [misc]progress: [ 42 / 151 ] simplifiying candidate # 1545039162.944 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.944 * * [misc]simplify: iters left: 6 (11 enodes) 1545039162.946 * * [misc]simplify: iters left: 5 (15 enodes) 1545039162.948 * * [misc]simplify: iters left: 4 (20 enodes) 1545039162.950 * * [misc]simplify: iters left: 3 (21 enodes) 1545039162.953 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.953 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039162.953 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.953 * * [misc]simplify: iters left: 6 (10 enodes) 1545039162.954 * * [misc]simplify: iters left: 5 (12 enodes) 1545039162.956 * * [misc]simplify: iters left: 4 (15 enodes) 1545039162.958 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039162.958 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039162.958 * * * * [misc]progress: [ 43 / 151 ] simplifiying candidate # 1545039162.958 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545039162.958 * * [misc]simplify: iters left: 6 (6 enodes) 1545039162.959 * * [misc]simplify: iters left: 5 (10 enodes) 1545039162.961 * * [misc]simplify: iters left: 4 (16 enodes) 1545039162.963 * * [misc]simplify: iters left: 3 (18 enodes) 1545039162.966 * * [misc]simplify: iters left: 2 (23 enodes) 1545039162.968 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039162.968 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039162.969 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039162.969 * * [misc]simplify: iters left: 6 (9 enodes) 1545039162.970 * * [misc]simplify: iters left: 5 (11 enodes) 1545039162.971 * * [misc]simplify: iters left: 4 (14 enodes) 1545039162.973 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039162.973 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039162.973 * * * * [misc]progress: [ 44 / 151 ] simplifiying candidate # 1545039162.973 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1545039162.973 * * [misc]simplify: iters left: 4 (7 enodes) 1545039162.975 * * [misc]simplify: iters left: 3 (8 enodes) 1545039162.979 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1545039162.979 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1545039162.979 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039162.979 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.981 * * [misc]simplify: iters left: 5 (10 enodes) 1545039162.984 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039162.984 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1545039162.984 * * * * [misc]progress: [ 45 / 151 ] simplifiying candidate # 1545039162.984 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1545039162.985 * * [misc]simplify: iters left: 4 (7 enodes) 1545039162.988 * * [misc]simplify: iters left: 3 (8 enodes) 1545039162.991 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1545039162.991 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1545039162.991 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039162.992 * * [misc]simplify: iters left: 6 (8 enodes) 1545039162.994 * * [misc]simplify: iters left: 5 (10 enodes) 1545039162.997 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039162.997 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1545039162.997 * * * * [misc]progress: [ 46 / 151 ] simplifiying candidate # 1545039162.998 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039162.998 * * [misc]simplify: iters left: 6 (11 enodes) 1545039163.001 * * [misc]simplify: iters left: 5 (15 enodes) 1545039163.006 * * [misc]simplify: iters left: 4 (18 enodes) 1545039163.011 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039163.011 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.011 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.011 * * [misc]simplify: iters left: 6 (10 enodes) 1545039163.014 * * [misc]simplify: iters left: 5 (12 enodes) 1545039163.018 * * [misc]simplify: iters left: 4 (15 enodes) 1545039163.022 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.022 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.022 * * * * [misc]progress: [ 47 / 151 ] simplifiying candidate # 1545039163.022 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.022 * * [misc]simplify: iters left: 6 (10 enodes) 1545039163.025 * * [misc]simplify: iters left: 5 (12 enodes) 1545039163.029 * * [misc]simplify: iters left: 4 (15 enodes) 1545039163.033 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.033 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.033 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.033 * * [misc]simplify: iters left: 6 (10 enodes) 1545039163.036 * * [misc]simplify: iters left: 5 (12 enodes) 1545039163.040 * * [misc]simplify: iters left: 4 (15 enodes) 1545039163.044 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.044 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.044 * * * * [misc]progress: [ 48 / 151 ] simplifiying candidate # 1545039163.044 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545039163.044 * * [misc]simplify: iters left: 4 (5 enodes) 1545039163.046 * * [misc]simplify: iters left: 3 (7 enodes) 1545039163.048 * * [misc]simplify: iters left: 2 (9 enodes) 1545039163.050 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039163.050 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.050 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039163.051 * * [misc]simplify: iters left: 6 (9 enodes) 1545039163.053 * * [misc]simplify: iters left: 5 (11 enodes) 1545039163.056 * * [misc]simplify: iters left: 4 (14 enodes) 1545039163.060 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039163.060 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.061 * * * * [misc]progress: [ 49 / 151 ] simplifiying candidate # 1545039163.061 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1545039163.061 * * [misc]simplify: iters left: 3 (5 enodes) 1545039163.064 * * [misc]simplify: iters left: 2 (8 enodes) 1545039163.067 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1545039163.067 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2)))))))) 1545039163.067 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1545039163.068 * * [misc]simplify: iters left: 6 (7 enodes) 1545039163.070 * * [misc]simplify: iters left: 5 (9 enodes) 1545039163.072 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1545039163.072 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1545039163.072 * * * * [misc]progress: [ 50 / 151 ] simplifiying candidate # 1545039163.073 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1545039163.073 * * [misc]simplify: iters left: 3 (5 enodes) 1545039163.076 * * [misc]simplify: iters left: 2 (8 enodes) 1545039163.079 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1545039163.079 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2)))))))) 1545039163.079 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1545039163.079 * * [misc]simplify: iters left: 6 (7 enodes) 1545039163.081 * * [misc]simplify: iters left: 5 (9 enodes) 1545039163.084 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1545039163.084 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1545039163.084 * * * * [misc]progress: [ 51 / 151 ] simplifiying candidate # 1545039163.084 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039163.085 * * [misc]simplify: iters left: 6 (10 enodes) 1545039163.088 * * [misc]simplify: iters left: 5 (16 enodes) 1545039163.092 * * [misc]simplify: iters left: 4 (19 enodes) 1545039163.094 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1545039163.094 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.095 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.095 * * [misc]simplify: iters left: 6 (9 enodes) 1545039163.096 * * [misc]simplify: iters left: 5 (11 enodes) 1545039163.097 * * [misc]simplify: iters left: 4 (14 enodes) 1545039163.099 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.099 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.099 * * * * [misc]progress: [ 52 / 151 ] simplifiying candidate # 1545039163.100 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.100 * * [misc]simplify: iters left: 6 (9 enodes) 1545039163.101 * * [misc]simplify: iters left: 5 (13 enodes) 1545039163.104 * * [misc]simplify: iters left: 4 (16 enodes) 1545039163.106 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.106 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.106 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.106 * * [misc]simplify: iters left: 6 (9 enodes) 1545039163.107 * * [misc]simplify: iters left: 5 (11 enodes) 1545039163.109 * * [misc]simplify: iters left: 4 (14 enodes) 1545039163.110 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039163.110 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1545039163.110 * * * * [misc]progress: [ 53 / 151 ] simplifiying candidate # 1545039163.111 * [enter]simplify: Simplifying (/ 1 1) 1545039163.111 * * [misc]simplify: iters left: 2 (2 enodes) 1545039163.111 * * [misc]simplify: iters left: 1 (4 enodes) 1545039163.111 * [exit]simplify: Simplified to 1 1545039163.111 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.112 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039163.112 * * [misc]simplify: iters left: 6 (8 enodes) 1545039163.113 * * [misc]simplify: iters left: 5 (10 enodes) 1545039163.114 * * [misc]simplify: iters left: 4 (13 enodes) 1545039163.116 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039163.116 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.116 * * * * [misc]progress: [ 54 / 151 ] simplifiying candidate # 1545039163.116 * * * * [misc]progress: [ 55 / 151 ] simplifiying candidate # 1545039163.116 * * * * [misc]progress: [ 56 / 151 ] simplifiying candidate # 1545039163.116 * * * * [misc]progress: [ 57 / 151 ] simplifiying candidate # 1545039163.116 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1545039163.116 * * [misc]simplify: iters left: 5 (5 enodes) 1545039163.117 * * [misc]simplify: iters left: 4 (7 enodes) 1545039163.118 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1545039163.118 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1545039163.118 * * * * [misc]progress: [ 58 / 151 ] simplifiying candidate # 1545039163.118 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1545039163.118 * * [misc]simplify: iters left: 5 (5 enodes) 1545039163.119 * * [misc]simplify: iters left: 4 (7 enodes) 1545039163.120 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1545039163.120 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1545039163.120 * * * * [misc]progress: [ 59 / 151 ] simplifiying candidate # 1545039163.120 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1545039163.120 * * [misc]simplify: iters left: 6 (7 enodes) 1545039163.122 * * [misc]simplify: iters left: 5 (9 enodes) 1545039163.125 * * [misc]simplify: iters left: 4 (12 enodes) 1545039163.128 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1545039163.128 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.128 * * * * [misc]progress: [ 60 / 151 ] simplifiying candidate # 1545039163.129 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1545039163.129 * * [misc]simplify: iters left: 6 (7 enodes) 1545039163.131 * * [misc]simplify: iters left: 5 (9 enodes) 1545039163.133 * * [misc]simplify: iters left: 4 (12 enodes) 1545039163.136 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1545039163.136 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039163.137 * * * * [misc]progress: [ 61 / 151 ] simplifiying candidate # 1545039163.137 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545039163.137 * * [misc]simplify: iters left: 5 (6 enodes) 1545039163.139 * * [misc]simplify: iters left: 4 (8 enodes) 1545039163.141 * * [misc]simplify: iters left: 3 (11 enodes) 1545039163.144 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545039163.144 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow 2 (- 1/2 (/ k 2))))))) 1545039163.144 * * * * [misc]progress: [ 62 / 151 ] simplifiying candidate # 1545039163.144 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039163.144 * * [misc]simplify: iters left: 4 (4 enodes) 1545039163.144 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545039163.144 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1545039163.145 * * * * [misc]progress: [ 63 / 151 ] simplifiying candidate # 1545039163.145 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545039163.145 * * [misc]simplify: iters left: 2 (3 enodes) 1545039163.145 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545039163.145 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1545039163.145 * * * * [misc]progress: [ 64 / 151 ] simplifiying candidate # 1545039163.145 * * * * [misc]progress: [ 65 / 151 ] simplifiying candidate # 1545039163.145 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1545039163.145 * * [misc]simplify: iters left: 3 (4 enodes) 1545039163.146 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1545039163.146 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow 2 1/2)) (pow 2 (/ k 2)))))) 1545039163.146 * * * * [misc]progress: [ 66 / 151 ] simplifiying candidate # 1545039163.146 * [enter]simplify: Simplifying (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039163.146 * * [misc]simplify: iters left: 6 (17 enodes) 1545039163.149 * * [misc]simplify: iters left: 5 (31 enodes) 1545039163.155 * * [misc]simplify: iters left: 4 (82 enodes) 1545039163.171 * * [misc]simplify: iters left: 3 (194 enodes) 1545039163.243 * * [misc]simplify: iters left: 2 (361 enodes) 1545039163.464 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1545039163.464 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1))) 1545039163.465 * * * * [misc]progress: [ 67 / 151 ] simplifiying candidate # 1545039163.465 * [enter]simplify: Simplifying (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039163.465 * * [misc]simplify: iters left: 6 (17 enodes) 1545039163.467 * * [misc]simplify: iters left: 5 (31 enodes) 1545039163.473 * * [misc]simplify: iters left: 4 (82 enodes) 1545039163.499 * * [misc]simplify: iters left: 3 (194 enodes) 1545039163.597 * * [misc]simplify: iters left: 2 (361 enodes) 1545039163.840 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1545039163.840 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1))) 1545039163.840 * * * * [misc]progress: [ 68 / 151 ] simplifiying candidate # 1545039163.840 * * * * [misc]progress: [ 69 / 151 ] simplifiying candidate # 1545039163.840 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039163.841 * * [misc]simplify: iters left: 6 (20 enodes) 1545039163.848 * * [misc]simplify: iters left: 5 (43 enodes) 1545039163.862 * * [misc]simplify: iters left: 4 (128 enodes) 1545039163.912 * * [misc]simplify: iters left: 3 (449 enodes) 1545039164.194 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 1545039164.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k)))))) 1545039164.194 * * * * [misc]progress: [ 70 / 151 ] simplifiying candidate # 1545039164.194 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039164.194 * * [misc]simplify: iters left: 6 (20 enodes) 1545039164.198 * * [misc]simplify: iters left: 5 (44 enodes) 1545039164.213 * * [misc]simplify: iters left: 4 (122 enodes) 1545039164.288 * * [misc]simplify: iters left: 3 (410 enodes) 1545039164.536 * [exit]simplify: Simplified to (+ (* (+ (+ (log PI) (log n)) (log 2)) (+ -1/2 (/ k 2))) (log (sqrt k))) 1545039164.536 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (+ (log PI) (log n)) (log 2)) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1545039164.536 * * * * [misc]progress: [ 71 / 151 ] simplifiying candidate # 1545039164.536 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (* (log n) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039164.537 * * [misc]simplify: iters left: 6 (19 enodes) 1545039164.539 * * [misc]simplify: iters left: 5 (40 enodes) 1545039164.547 * * [misc]simplify: iters left: 4 (109 enodes) 1545039164.599 * * [misc]simplify: iters left: 3 (338 enodes) 1545039164.772 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log PI) (log n))))) 1545039164.772 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log PI) (log n)))))))) 1545039164.772 * * * * [misc]progress: [ 72 / 151 ] simplifiying candidate # 1545039164.773 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039164.773 * * [misc]simplify: iters left: 6 (20 enodes) 1545039164.780 * * [misc]simplify: iters left: 5 (41 enodes) 1545039164.796 * * [misc]simplify: iters left: 4 (107 enodes) 1545039164.855 * * [misc]simplify: iters left: 3 (341 enodes) 1545039165.115 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI)))) (log (sqrt k))) 1545039165.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI)))) (log (sqrt k)))))) 1545039165.115 * * * * [misc]progress: [ 73 / 151 ] simplifiying candidate # 1545039165.115 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039165.116 * * [misc]simplify: iters left: 6 (20 enodes) 1545039165.123 * * [misc]simplify: iters left: 5 (42 enodes) 1545039165.137 * * [misc]simplify: iters left: 4 (101 enodes) 1545039165.187 * * [misc]simplify: iters left: 3 (301 enodes) 1545039165.403 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2)))) 1545039165.403 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2))))))) 1545039165.403 * * * * [misc]progress: [ 74 / 151 ] simplifiying candidate # 1545039165.404 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039165.404 * * [misc]simplify: iters left: 6 (19 enodes) 1545039165.407 * * [misc]simplify: iters left: 5 (38 enodes) 1545039165.413 * * [misc]simplify: iters left: 4 (88 enodes) 1545039165.437 * * [misc]simplify: iters left: 3 (247 enodes) 1545039165.550 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039165.550 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039165.550 * * * * [misc]progress: [ 75 / 151 ] simplifiying candidate # 1545039165.551 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039165.551 * * [misc]simplify: iters left: 6 (21 enodes) 1545039165.555 * * [misc]simplify: iters left: 5 (43 enodes) 1545039165.565 * * [misc]simplify: iters left: 4 (102 enodes) 1545039165.604 * * [misc]simplify: iters left: 3 (310 enodes) 1545039165.798 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039165.798 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039165.798 * * * * [misc]progress: [ 76 / 151 ] simplifiying candidate # 1545039165.798 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039165.798 * * [misc]simplify: iters left: 6 (21 enodes) 1545039165.806 * * [misc]simplify: iters left: 5 (44 enodes) 1545039165.820 * * [misc]simplify: iters left: 4 (96 enodes) 1545039165.860 * * [misc]simplify: iters left: 3 (270 enodes) 1545039166.056 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039166.056 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039166.056 * * * * [misc]progress: [ 77 / 151 ] simplifiying candidate # 1545039166.057 * [enter]simplify: Simplifying (+ (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039166.057 * * [misc]simplify: iters left: 6 (20 enodes) 1545039166.060 * * [misc]simplify: iters left: 5 (40 enodes) 1545039166.067 * * [misc]simplify: iters left: 4 (85 enodes) 1545039166.088 * * [misc]simplify: iters left: 3 (225 enodes) 1545039166.220 * [exit]simplify: Simplified to (+ (* (log 2) (+ -1/2 (/ k 2))) (+ (* (+ -1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt k)))) 1545039166.220 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log 2) (+ -1/2 (/ k 2))) (+ (* (+ -1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt k))))))) 1545039166.220 * * * * [misc]progress: [ 78 / 151 ] simplifiying candidate # 1545039166.221 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039166.221 * * [misc]simplify: iters left: 6 (20 enodes) 1545039166.228 * * [misc]simplify: iters left: 5 (41 enodes) 1545039166.243 * * [misc]simplify: iters left: 4 (107 enodes) 1545039166.302 * * [misc]simplify: iters left: 3 (345 enodes) 1545039166.536 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k))) 1545039166.536 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log PI) (log n)))) (log (sqrt k)))))) 1545039166.536 * * * * [misc]progress: [ 79 / 151 ] simplifiying candidate # 1545039166.536 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039166.536 * * [misc]simplify: iters left: 6 (20 enodes) 1545039166.543 * * [misc]simplify: iters left: 5 (42 enodes) 1545039166.556 * * [misc]simplify: iters left: 4 (101 enodes) 1545039166.606 * * [misc]simplify: iters left: 3 (305 enodes) 1545039166.831 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2)))) 1545039166.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log n)) (log 2))))))) 1545039166.832 * * * * [misc]progress: [ 80 / 151 ] simplifiying candidate # 1545039166.832 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039166.833 * * [misc]simplify: iters left: 6 (19 enodes) 1545039166.836 * * [misc]simplify: iters left: 5 (38 enodes) 1545039166.843 * * [misc]simplify: iters left: 4 (88 enodes) 1545039166.863 * * [misc]simplify: iters left: 3 (255 enodes) 1545039167.004 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039167.004 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039167.004 * * * * [misc]progress: [ 81 / 151 ] simplifiying candidate # 1545039167.005 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039167.005 * * [misc]simplify: iters left: 6 (20 enodes) 1545039167.012 * * [misc]simplify: iters left: 5 (38 enodes) 1545039167.024 * * [misc]simplify: iters left: 4 (91 enodes) 1545039167.063 * * [misc]simplify: iters left: 3 (246 enodes) 1545039167.221 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039167.221 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039167.221 * * * * [misc]progress: [ 82 / 151 ] simplifiying candidate # 1545039167.221 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039167.221 * * [misc]simplify: iters left: 6 (20 enodes) 1545039167.228 * * [misc]simplify: iters left: 5 (39 enodes) 1545039167.238 * * [misc]simplify: iters left: 4 (85 enodes) 1545039167.255 * * [misc]simplify: iters left: 3 (210 enodes) 1545039167.398 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI))))) 1545039167.398 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI)))))))) 1545039167.398 * * * * [misc]progress: [ 83 / 151 ] simplifiying candidate # 1545039167.399 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039167.399 * * [misc]simplify: iters left: 6 (19 enodes) 1545039167.405 * * [misc]simplify: iters left: 5 (35 enodes) 1545039167.410 * * [misc]simplify: iters left: 4 (72 enodes) 1545039167.436 * * [misc]simplify: iters left: 3 (168 enodes) 1545039167.520 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI))))) 1545039167.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log 2) (+ (log n) (log PI)))))))) 1545039167.520 * * * * [misc]progress: [ 84 / 151 ] simplifiying candidate # 1545039167.520 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039167.520 * * [misc]simplify: iters left: 6 (21 enodes) 1545039167.528 * * [misc]simplify: iters left: 5 (40 enodes) 1545039167.541 * * [misc]simplify: iters left: 4 (86 enodes) 1545039167.574 * * [misc]simplify: iters left: 3 (223 enodes) 1545039167.694 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039167.694 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039167.694 * * * * [misc]progress: [ 85 / 151 ] simplifiying candidate # 1545039167.694 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039167.694 * * [misc]simplify: iters left: 6 (21 enodes) 1545039167.698 * * [misc]simplify: iters left: 5 (41 enodes) 1545039167.706 * * [misc]simplify: iters left: 4 (80 enodes) 1545039167.737 * * [misc]simplify: iters left: 3 (187 enodes) 1545039167.810 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039167.810 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039167.810 * * * * [misc]progress: [ 86 / 151 ] simplifiying candidate # 1545039167.810 * [enter]simplify: Simplifying (+ (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039167.811 * * [misc]simplify: iters left: 6 (20 enodes) 1545039167.814 * * [misc]simplify: iters left: 5 (37 enodes) 1545039167.819 * * [misc]simplify: iters left: 4 (69 enodes) 1545039167.831 * * [misc]simplify: iters left: 3 (150 enodes) 1545039167.895 * * [misc]simplify: iters left: 2 (443 enodes) 1545039168.331 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039168.331 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039168.331 * * * * [misc]progress: [ 87 / 151 ] simplifiying candidate # 1545039168.332 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039168.332 * * [misc]simplify: iters left: 6 (21 enodes) 1545039168.340 * * [misc]simplify: iters left: 5 (44 enodes) 1545039168.355 * * [misc]simplify: iters left: 4 (107 enodes) 1545039168.398 * * [misc]simplify: iters left: 3 (336 enodes) 1545039168.550 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039168.550 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039168.550 * * * * [misc]progress: [ 88 / 151 ] simplifiying candidate # 1545039168.550 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039168.550 * * [misc]simplify: iters left: 6 (21 enodes) 1545039168.554 * * [misc]simplify: iters left: 5 (45 enodes) 1545039168.562 * * [misc]simplify: iters left: 4 (101 enodes) 1545039168.595 * * [misc]simplify: iters left: 3 (297 enodes) 1545039168.820 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039168.820 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039168.820 * * * * [misc]progress: [ 89 / 151 ] simplifiying candidate # 1545039168.821 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (* (log n) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039168.821 * * [misc]simplify: iters left: 6 (20 enodes) 1545039168.828 * * [misc]simplify: iters left: 5 (41 enodes) 1545039168.840 * * [misc]simplify: iters left: 4 (88 enodes) 1545039168.877 * * [misc]simplify: iters left: 3 (244 enodes) 1545039168.997 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (log 2)) (+ (* (+ (/ k 2) -1/2) (+ (log PI) (log n))) (log (sqrt k)))) 1545039168.997 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (log 2)) (+ (* (+ (/ k 2) -1/2) (+ (log PI) (log n))) (log (sqrt k))))))) 1545039168.997 * * * * [misc]progress: [ 90 / 151 ] simplifiying candidate # 1545039168.997 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039168.997 * * [misc]simplify: iters left: 6 (21 enodes) 1545039169.003 * * [misc]simplify: iters left: 5 (41 enodes) 1545039169.016 * * [misc]simplify: iters left: 4 (91 enodes) 1545039169.034 * * [misc]simplify: iters left: 3 (238 enodes) 1545039169.157 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039169.157 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039169.157 * * * * [misc]progress: [ 91 / 151 ] simplifiying candidate # 1545039169.158 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039169.158 * * [misc]simplify: iters left: 6 (21 enodes) 1545039169.169 * * [misc]simplify: iters left: 5 (42 enodes) 1545039169.180 * * [misc]simplify: iters left: 4 (85 enodes) 1545039169.197 * * [misc]simplify: iters left: 3 (202 enodes) 1545039169.330 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039169.330 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039169.330 * * * * [misc]progress: [ 92 / 151 ] simplifiying candidate # 1545039169.330 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039169.331 * * [misc]simplify: iters left: 6 (20 enodes) 1545039169.334 * * [misc]simplify: iters left: 5 (38 enodes) 1545039169.341 * * [misc]simplify: iters left: 4 (72 enodes) 1545039169.356 * * [misc]simplify: iters left: 3 (157 enodes) 1545039169.413 * * [misc]simplify: iters left: 2 (471 enodes) 1545039169.871 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log 2)) (log n)))) 1545039169.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (+ (log PI) (log 2)) (log n))))))) 1545039169.871 * * * * [misc]progress: [ 93 / 151 ] simplifiying candidate # 1545039169.871 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039169.871 * * [misc]simplify: iters left: 6 (21 enodes) 1545039169.876 * * [misc]simplify: iters left: 5 (41 enodes) 1545039169.890 * * [misc]simplify: iters left: 4 (85 enodes) 1545039169.925 * * [misc]simplify: iters left: 3 (224 enodes) 1545039170.038 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039170.039 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039170.039 * * * * [misc]progress: [ 94 / 151 ] simplifiying candidate # 1545039170.039 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039170.039 * * [misc]simplify: iters left: 6 (21 enodes) 1545039170.043 * * [misc]simplify: iters left: 5 (42 enodes) 1545039170.052 * * [misc]simplify: iters left: 4 (79 enodes) 1545039170.068 * * [misc]simplify: iters left: 3 (189 enodes) 1545039170.165 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039170.165 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039170.165 * * * * [misc]progress: [ 95 / 151 ] simplifiying candidate # 1545039170.166 * [enter]simplify: Simplifying (+ (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039170.166 * * [misc]simplify: iters left: 6 (20 enodes) 1545039170.173 * * [misc]simplify: iters left: 5 (38 enodes) 1545039170.184 * * [misc]simplify: iters left: 4 (67 enodes) 1545039170.197 * * [misc]simplify: iters left: 3 (144 enodes) 1545039170.238 * * [misc]simplify: iters left: 2 (390 enodes) 1545039170.641 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI))))) 1545039170.641 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log n) (log PI)))))))) 1545039170.641 * * * * [misc]progress: [ 96 / 151 ] simplifiying candidate # 1545039170.641 * [enter]simplify: Simplifying (+ (log (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2))))) 1545039170.641 * * [misc]simplify: iters left: 6 (20 enodes) 1545039170.645 * * [misc]simplify: iters left: 5 (38 enodes) 1545039170.653 * * [misc]simplify: iters left: 4 (95 enodes) 1545039170.678 * * [misc]simplify: iters left: 3 (212 enodes) 1545039170.767 * [exit]simplify: Simplified to (- (log (sqrt k)) (+ (* (- 1/2 (/ k 2)) (log 2)) (* (- 1/2 (/ k 2)) (+ (log PI) (log n))))) 1545039170.767 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (- 1/2 (/ k 2)) (log 2)) (* (- 1/2 (/ k 2)) (+ (log PI) (log n)))))))) 1545039170.767 * * * * [misc]progress: [ 97 / 151 ] simplifiying candidate # 1545039170.768 * [enter]simplify: Simplifying (+ (log (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2)))))) 1545039170.768 * * [misc]simplify: iters left: 6 (20 enodes) 1545039170.771 * * [misc]simplify: iters left: 5 (39 enodes) 1545039170.779 * * [misc]simplify: iters left: 4 (89 enodes) 1545039170.813 * * [misc]simplify: iters left: 3 (180 enodes) 1545039170.886 * [exit]simplify: Simplified to (- (log (sqrt k)) (+ (* (log 2) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (+ (log n) (log PI))))) 1545039170.886 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (+ (* (log 2) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))))))) 1545039170.886 * * * * [misc]progress: [ 98 / 151 ] simplifiying candidate # 1545039170.886 * [enter]simplify: Simplifying (+ (log (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039170.886 * * [misc]simplify: iters left: 6 (19 enodes) 1545039170.889 * * [misc]simplify: iters left: 5 (35 enodes) 1545039170.895 * * [misc]simplify: iters left: 4 (79 enodes) 1545039170.917 * * [misc]simplify: iters left: 3 (154 enodes) 1545039170.953 * * [misc]simplify: iters left: 2 (340 enodes) 1545039171.108 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n))))) 1545039171.108 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (+ (log PI) (log n)))))))) 1545039171.108 * * * * [misc]progress: [ 99 / 151 ] simplifiying candidate # 1545039171.108 * * * * [misc]progress: [ 100 / 151 ] simplifiying candidate # 1545039171.108 * * * * [misc]progress: [ 101 / 151 ] simplifiying candidate # 1545039171.108 * [enter]simplify: Simplifying (* (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545039171.108 * * [misc]simplify: iters left: 6 (25 enodes) 1545039171.113 * * [misc]simplify: iters left: 5 (62 enodes) 1545039171.126 * * [misc]simplify: iters left: 4 (227 enodes) 1545039171.350 * [exit]simplify: Simplified to (* (* (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1545039171.350 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (* (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))))) 1545039171.350 * * * * [misc]progress: [ 102 / 151 ] simplifiying candidate # 1545039171.350 * [enter]simplify: Simplifying (* (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039171.350 * * [misc]simplify: iters left: 6 (23 enodes) 1545039171.359 * * [misc]simplify: iters left: 5 (58 enodes) 1545039171.385 * * [misc]simplify: iters left: 4 (201 enodes) 1545039171.523 * [exit]simplify: Simplified to (* (* (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 3)) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1545039171.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (* (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 3)) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))))) 1545039171.524 * * * * [misc]progress: [ 103 / 151 ] simplifiying candidate # 1545039171.524 * [enter]simplify: Simplifying (* (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545039171.524 * * [misc]simplify: iters left: 6 (23 enodes) 1545039171.533 * * [misc]simplify: iters left: 5 (53 enodes) 1545039171.556 * * [misc]simplify: iters left: 4 (220 enodes) 1545039171.703 * [exit]simplify: Simplified to (* (/ (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1545039171.703 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))))))) 1545039171.703 * * * * [misc]progress: [ 104 / 151 ] simplifiying candidate # 1545039171.703 * [enter]simplify: Simplifying (* (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545039171.703 * * [misc]simplify: iters left: 6 (21 enodes) 1545039171.707 * * [misc]simplify: iters left: 5 (49 enodes) 1545039171.718 * * [misc]simplify: iters left: 4 (196 enodes) 1545039171.804 * [exit]simplify: Simplified to (* (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 3)) (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1545039171.804 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 3)) (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))))))) 1545039171.804 * * * * [misc]progress: [ 105 / 151 ] simplifiying candidate # 1545039171.804 * * * * [misc]progress: [ 106 / 151 ] simplifiying candidate # 1545039171.804 * * * * [misc]progress: [ 107 / 151 ] simplifiying candidate # 1545039171.804 * * * * [misc]progress: [ 108 / 151 ] simplifiying candidate # 1545039171.805 * [enter]simplify: Simplifying (* (* 1 1) (sqrt k)) 1545039171.805 * * [misc]simplify: iters left: 4 (5 enodes) 1545039171.805 * * [misc]simplify: iters left: 3 (8 enodes) 1545039171.806 * [exit]simplify: Simplified to (sqrt k) 1545039171.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.806 * [enter]simplify: Simplifying (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) 1545039171.807 * * [misc]simplify: iters left: 6 (12 enodes) 1545039171.808 * * [misc]simplify: iters left: 5 (18 enodes) 1545039171.811 * * [misc]simplify: iters left: 4 (27 enodes) 1545039171.814 * * [misc]simplify: iters left: 3 (28 enodes) 1545039171.818 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1545039171.818 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545039171.818 * * * * [misc]progress: [ 109 / 151 ] simplifiying candidate # 1545039171.818 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545039171.818 * * [misc]simplify: iters left: 6 (11 enodes) 1545039171.820 * * [misc]simplify: iters left: 5 (18 enodes) 1545039171.822 * * [misc]simplify: iters left: 4 (28 enodes) 1545039171.827 * * [misc]simplify: iters left: 3 (34 enodes) 1545039171.830 * * [misc]simplify: iters left: 2 (37 enodes) 1545039171.837 * * [misc]simplify: iters left: 1 (45 enodes) 1545039171.847 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1545039171.847 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.848 * [enter]simplify: Simplifying (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1545039171.848 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.851 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.854 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.858 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1545039171.858 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1545039171.858 * * * * [misc]progress: [ 110 / 151 ] simplifiying candidate # 1545039171.858 * [enter]simplify: Simplifying (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) 1) (sqrt k)) 1545039171.858 * * [misc]simplify: iters left: 6 (12 enodes) 1545039171.863 * * [misc]simplify: iters left: 5 (22 enodes) 1545039171.868 * * [misc]simplify: iters left: 4 (29 enodes) 1545039171.875 * * [misc]simplify: iters left: 3 (32 enodes) 1545039171.884 * * [misc]simplify: iters left: 2 (36 enodes) 1545039171.891 * * [misc]simplify: iters left: 1 (45 enodes) 1545039171.900 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1545039171.900 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.900 * [enter]simplify: Simplifying (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1545039171.900 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.902 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.903 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.905 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1545039171.905 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1545039171.905 * * * * [misc]progress: [ 111 / 151 ] simplifiying candidate # 1545039171.906 * [enter]simplify: Simplifying (* (* 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt k)) 1545039171.906 * * [misc]simplify: iters left: 6 (12 enodes) 1545039171.908 * * [misc]simplify: iters left: 5 (22 enodes) 1545039171.911 * * [misc]simplify: iters left: 4 (32 enodes) 1545039171.915 * * [misc]simplify: iters left: 3 (40 enodes) 1545039171.919 * * [misc]simplify: iters left: 2 (50 enodes) 1545039171.925 * * [misc]simplify: iters left: 1 (66 enodes) 1545039171.933 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 1545039171.933 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.933 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1545039171.933 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.934 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.936 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.938 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545039171.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1545039171.938 * * * * [misc]progress: [ 112 / 151 ] simplifiying candidate # 1545039171.938 * * * * [misc]progress: [ 113 / 151 ] simplifiying candidate # 1545039171.938 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039171.938 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.940 * * [misc]simplify: iters left: 5 (11 enodes) 1545039171.941 * * [misc]simplify: iters left: 4 (14 enodes) 1545039171.943 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039171.943 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.943 * * * * [misc]progress: [ 114 / 151 ] simplifiying candidate # 1545039171.943 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039171.943 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.945 * * [misc]simplify: iters left: 5 (11 enodes) 1545039171.946 * * [misc]simplify: iters left: 4 (14 enodes) 1545039171.948 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039171.948 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.948 * * * * [misc]progress: [ 115 / 151 ] simplifiying candidate # 1545039171.948 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039171.948 * * [misc]simplify: iters left: 6 (8 enodes) 1545039171.949 * * [misc]simplify: iters left: 5 (10 enodes) 1545039171.951 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039171.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1545039171.951 * * * * [misc]progress: [ 116 / 151 ] simplifiying candidate # 1545039171.951 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039171.951 * * [misc]simplify: iters left: 6 (8 enodes) 1545039171.952 * * [misc]simplify: iters left: 5 (10 enodes) 1545039171.953 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039171.953 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1545039171.953 * * * * [misc]progress: [ 117 / 151 ] simplifiying candidate # 1545039171.954 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.954 * * [misc]simplify: iters left: 6 (10 enodes) 1545039171.955 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.957 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.958 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.958 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.959 * * * * [misc]progress: [ 118 / 151 ] simplifiying candidate # 1545039171.959 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.959 * * [misc]simplify: iters left: 6 (10 enodes) 1545039171.960 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.963 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.965 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.965 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.965 * * * * [misc]progress: [ 119 / 151 ] simplifiying candidate # 1545039171.965 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039171.965 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.966 * * [misc]simplify: iters left: 5 (11 enodes) 1545039171.968 * * [misc]simplify: iters left: 4 (14 enodes) 1545039171.970 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039171.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.970 * * * * [misc]progress: [ 120 / 151 ] simplifiying candidate # 1545039171.970 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039171.970 * * [misc]simplify: iters left: 6 (8 enodes) 1545039171.971 * * [misc]simplify: iters left: 5 (10 enodes) 1545039171.972 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039171.972 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1545039171.972 * * * * [misc]progress: [ 121 / 151 ] simplifiying candidate # 1545039171.972 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1545039171.973 * * [misc]simplify: iters left: 6 (8 enodes) 1545039171.974 * * [misc]simplify: iters left: 5 (10 enodes) 1545039171.975 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1545039171.975 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1545039171.975 * * * * [misc]progress: [ 122 / 151 ] simplifiying candidate # 1545039171.975 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.975 * * [misc]simplify: iters left: 6 (10 enodes) 1545039171.977 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.978 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.980 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.980 * * * * [misc]progress: [ 123 / 151 ] simplifiying candidate # 1545039171.980 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.981 * * [misc]simplify: iters left: 6 (10 enodes) 1545039171.982 * * [misc]simplify: iters left: 5 (12 enodes) 1545039171.983 * * [misc]simplify: iters left: 4 (15 enodes) 1545039171.985 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039171.985 * * * * [misc]progress: [ 124 / 151 ] simplifiying candidate # 1545039171.986 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039171.986 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.987 * * [misc]simplify: iters left: 5 (11 enodes) 1545039171.988 * * [misc]simplify: iters left: 4 (14 enodes) 1545039171.990 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545039171.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545039171.990 * * * * [misc]progress: [ 125 / 151 ] simplifiying candidate # 1545039171.990 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1545039171.990 * * [misc]simplify: iters left: 6 (7 enodes) 1545039171.991 * * [misc]simplify: iters left: 5 (9 enodes) 1545039171.993 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1545039171.993 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 1/2))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1545039171.993 * * * * [misc]progress: [ 126 / 151 ] simplifiying candidate # 1545039171.993 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1545039171.993 * * [misc]simplify: iters left: 6 (7 enodes) 1545039171.994 * * [misc]simplify: iters left: 5 (9 enodes) 1545039171.995 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1545039171.995 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 1/2))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1545039171.995 * * * * [misc]progress: [ 127 / 151 ] simplifiying candidate # 1545039171.995 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039171.995 * * [misc]simplify: iters left: 6 (9 enodes) 1545039171.996 * * [misc]simplify: iters left: 5 (11 enodes) 1545039171.998 * * [misc]simplify: iters left: 4 (14 enodes) 1545039172.000 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1545039172.000 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039172.000 * * * * [misc]progress: [ 128 / 151 ] simplifiying candidate # 1545039172.000 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039172.000 * * [misc]simplify: iters left: 6 (9 enodes) 1545039172.001 * * [misc]simplify: iters left: 5 (11 enodes) 1545039172.003 * * [misc]simplify: iters left: 4 (14 enodes) 1545039172.004 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1545039172.004 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1545039172.004 * * * * [misc]progress: [ 129 / 151 ] simplifiying candidate # 1545039172.005 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039172.005 * * [misc]simplify: iters left: 6 (8 enodes) 1545039172.006 * * [misc]simplify: iters left: 5 (10 enodes) 1545039172.007 * * [misc]simplify: iters left: 4 (13 enodes) 1545039172.009 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039172.009 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039172.009 * * * * [misc]progress: [ 130 / 151 ] simplifiying candidate # 1545039172.009 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039172.009 * * [misc]simplify: iters left: 6 (8 enodes) 1545039172.010 * * [misc]simplify: iters left: 5 (10 enodes) 1545039172.011 * * [misc]simplify: iters left: 4 (13 enodes) 1545039172.013 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039172.013 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039172.013 * * * * [misc]progress: [ 131 / 151 ] simplifiying candidate # 1545039172.013 * [enter]simplify: Simplifying (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1545039172.013 * * [misc]simplify: iters left: 6 (8 enodes) 1545039172.015 * * [misc]simplify: iters left: 5 (12 enodes) 1545039172.016 * * [misc]simplify: iters left: 4 (15 enodes) 1545039172.018 * [exit]simplify: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1545039172.018 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1545039172.018 * * * * [misc]progress: [ 132 / 151 ] simplifiying candidate # 1545039172.018 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1545039172.018 * * [misc]simplify: iters left: 3 (4 enodes) 1545039172.019 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1545039172.019 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 1/2))) (pow 2 (/ k 2))))) 1545039172.019 * * * * [misc]progress: [ 133 / 151 ] simplifiying candidate # 1545039172.019 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545039172.019 * * [misc]simplify: iters left: 6 (9 enodes) 1545039172.020 * * [misc]simplify: iters left: 5 (13 enodes) 1545039172.022 * * [misc]simplify: iters left: 4 (16 enodes) 1545039172.024 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545039172.024 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545039172.024 * * * * [misc]progress: [ 134 / 151 ] simplifiying candidate # 1545039172.024 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545039172.024 * * [misc]simplify: iters left: 5 (6 enodes) 1545039172.025 * * [misc]simplify: iters left: 4 (8 enodes) 1545039172.026 * * [misc]simplify: iters left: 3 (11 enodes) 1545039172.028 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545039172.028 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545039172.028 * * * * [misc]progress: [ 135 / 151 ] simplifiying candidate # 1545039172.028 * [enter]simplify: Simplifying (* (* 1 1) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039172.028 * * [misc]simplify: iters left: 6 (11 enodes) 1545039172.030 * * [misc]simplify: iters left: 5 (18 enodes) 1545039172.032 * * [misc]simplify: iters left: 4 (24 enodes) 1545039172.036 * * [misc]simplify: iters left: 3 (27 enodes) 1545039172.039 * * [misc]simplify: iters left: 2 (33 enodes) 1545039172.044 * * [misc]simplify: iters left: 1 (46 enodes) 1545039172.051 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545039172.051 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1545039172.051 * * * * [misc]progress: [ 136 / 151 ] simplifiying candidate # 1545039172.051 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039172.051 * * [misc]simplify: iters left: 6 (13 enodes) 1545039172.053 * * [misc]simplify: iters left: 5 (22 enodes) 1545039172.056 * * [misc]simplify: iters left: 4 (37 enodes) 1545039172.062 * * [misc]simplify: iters left: 3 (62 enodes) 1545039172.071 * * [misc]simplify: iters left: 2 (97 enodes) 1545039172.087 * * [misc]simplify: iters left: 1 (154 enodes) 1545039172.122 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) 1545039172.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1545039172.122 * * * * [misc]progress: [ 137 / 151 ] simplifiying candidate # 1545039172.122 * [enter]simplify: Simplifying (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039172.122 * * [misc]simplify: iters left: 6 (14 enodes) 1545039172.125 * * [misc]simplify: iters left: 5 (26 enodes) 1545039172.130 * * [misc]simplify: iters left: 4 (42 enodes) 1545039172.141 * * [misc]simplify: iters left: 3 (59 enodes) 1545039172.159 * * [misc]simplify: iters left: 2 (93 enodes) 1545039172.191 * * [misc]simplify: iters left: 1 (185 enodes) 1545039172.272 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) 1545039172.272 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (pow n (- 1/2 (/ k 2)))))) 1545039172.272 * * * * [misc]progress: [ 138 / 151 ] simplifiying candidate # 1545039172.272 * [enter]simplify: Simplifying (* (* 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545039172.273 * * [misc]simplify: iters left: 6 (14 enodes) 1545039172.278 * * [misc]simplify: iters left: 5 (26 enodes) 1545039172.286 * * [misc]simplify: iters left: 4 (44 enodes) 1545039172.299 * * [misc]simplify: iters left: 3 (69 enodes) 1545039172.324 * * [misc]simplify: iters left: 2 (101 enodes) 1545039172.341 * * [misc]simplify: iters left: 1 (199 enodes) 1545039172.461 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1545039172.462 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))))) 1545039172.462 * * * * [misc]progress: [ 139 / 151 ] simplifiying candidate # 1545039172.462 * * * * [misc]progress: [ 140 / 151 ] simplifiying candidate # 1545039172.462 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545039172.463 * * [misc]simplify: iters left: 6 (18 enodes) 1545039172.469 * * [misc]simplify: iters left: 5 (39 enodes) 1545039172.483 * * [misc]simplify: iters left: 4 (113 enodes) 1545039172.520 * * [misc]simplify: iters left: 3 (290 enodes) 1545039172.625 * [exit]simplify: Simplified to (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) 1545039172.625 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039172.625 * * * * [misc]progress: [ 141 / 151 ] simplifiying candidate # 1545039172.625 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545039172.625 * * [misc]simplify: iters left: 6 (12 enodes) 1545039172.630 * * [misc]simplify: iters left: 5 (28 enodes) 1545039172.641 * * [misc]simplify: iters left: 4 (67 enodes) 1545039172.666 * * [misc]simplify: iters left: 3 (174 enodes) 1545039172.800 * [exit]simplify: Simplified to (pow n (- 1/2 (* 1/2 k))) 1545039172.800 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039172.800 * * * * [misc]progress: [ 142 / 151 ] simplifiying candidate # 1545039172.801 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545039172.801 * * [misc]simplify: iters left: 6 (12 enodes) 1545039172.806 * * [misc]simplify: iters left: 5 (22 enodes) 1545039172.816 * * [misc]simplify: iters left: 4 (52 enodes) 1545039172.839 * * [misc]simplify: iters left: 3 (141 enodes) 1545039172.914 * * [misc]simplify: iters left: 2 (418 enodes) 1545039173.720 * [exit]simplify: Simplified to (pow (sqrt n) (- 1 k)) 1545039173.720 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (sqrt n) (- 1 k)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039173.720 * * * * [misc]progress: [ 143 / 151 ] simplifiying candidate # 1545039173.720 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545039173.721 * * [misc]simplify: iters left: 6 (18 enodes) 1545039173.724 * * [misc]simplify: iters left: 5 (39 enodes) 1545039173.731 * * [misc]simplify: iters left: 4 (104 enodes) 1545039173.753 * * [misc]simplify: iters left: 3 (275 enodes) 1545039173.867 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545039173.867 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (/ 1 (* (* (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039173.867 * * * * [misc]progress: [ 144 / 151 ] simplifiying candidate # 1545039173.867 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545039173.867 * * [misc]simplify: iters left: 5 (6 enodes) 1545039173.868 * * [misc]simplify: iters left: 4 (9 enodes) 1545039173.870 * * [misc]simplify: iters left: 3 (17 enodes) 1545039173.872 * * [misc]simplify: iters left: 2 (20 enodes) 1545039173.874 * * [misc]simplify: iters left: 1 (24 enodes) 1545039173.880 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545039173.880 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039173.880 * * * * [misc]progress: [ 145 / 151 ] simplifiying candidate # 1545039173.880 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545039173.880 * * [misc]simplify: iters left: 5 (6 enodes) 1545039173.881 * * [misc]simplify: iters left: 4 (9 enodes) 1545039173.883 * * [misc]simplify: iters left: 3 (17 enodes) 1545039173.884 * * [misc]simplify: iters left: 2 (20 enodes) 1545039173.887 * * [misc]simplify: iters left: 1 (24 enodes) 1545039173.891 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545039173.891 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545039173.891 * * * * [misc]progress: [ 146 / 151 ] simplifiying candidate # 1545039173.892 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1545039173.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0))) 1545039173.892 * * * * [misc]progress: [ 147 / 151 ] simplifiying candidate # 1545039173.892 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1545039173.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0))) 1545039173.892 * * * * [misc]progress: [ 148 / 151 ] simplifiying candidate # 1545039173.892 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1545039173.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0))) 1545039173.892 * * * * [misc]progress: [ 149 / 151 ] simplifiying candidate # 1545039173.892 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545039173.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039173.892 * * * * [misc]progress: [ 150 / 151 ] simplifiying candidate # 1545039173.893 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2))))))))))) 1545039173.893 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039173.893 * * * * [misc]progress: [ 151 / 151 ] simplifiying candidate # 1545039173.893 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2))))))))))) 1545039173.893 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545039173.893 * * * [misc]progress: adding candidates to table 1545039176.408 * [misc]progress: [Phase 3 of 3] Extracting. 1545039176.408 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545039176.410 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545039176.410 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545039176.498 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545039176.557 * * * [misc]regime: Found split indices: #